[
  {
    "path": ".gitignore",
    "content": "*~\n\\.DS_STORE\nbuild/\ndist/\n*egg-info*\n*__pycache__/\n*.py[cod]\n*eggs*\n*\\.png\n"
  },
  {
    "path": "LICENSE",
    "content": "MIT License\n\nCopyright (c) 2017 Erik Linder-Norén\n\nPermission is hereby granted, free of charge, to any person obtaining a copy\nof this software and associated documentation files (the \"Software\"), to deal\nin the Software without restriction, including without limitation the rights\nto use, copy, modify, merge, publish, distribute, sublicense, and/or sell\ncopies of the Software, and to permit persons to whom the Software is\nfurnished to do so, subject to the following conditions:\n\nThe above copyright notice and this permission notice shall be included in all\ncopies or substantial portions of the Software.\n\nTHE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\nIMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\nFITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE\nAUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\nLIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,\nOUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE\nSOFTWARE.\n"
  },
  {
    "path": "README.md",
    "content": "# NapkinML\n\n## About\nPocket-sized implementations of machine learning models, most of which will fit in a tweet.\n\n## Table of Contents\n- [NapkinML](#napkinml)\n  * [About](#about)\n  * [Table of Contents](#table-of-contents)\n  * [Installation](#installation)\n  * [Implementations](#implementations)\n    + [K-Means](#k-means)\n    + [K-Nearest Neighbors](#k-nearest-neighbors)\n    + [Linear Regression](#linear-regression)\n    + [Linear Discriminant Analysis](#linear-discriminant-analysis)\n    + [Logistic Regression](#logistic-regression)\n    + [Multilayer Perceptron](#multilayer-perceptron)\n    + [Principal Component Analysis](#principal-component-analysis)\n\n## Installation\n    $ git clone https://github.com/eriklindernoren/NapkinML\n    $ cd NapkinML\n    $ sudo python setup.py install\n\n## Implementations\n### K-Means\n```python\nclass KMeans:\n    def fit(self, X, k, n_iter=200):\n        centers = random.sample(list(X), k)\n        for i in range(n_iter):\n            clusters = np.argmin(cdist(X, centers), axis=1)\n            centers = np.array([X[clusters == c].mean(0) for c in clusters])\n        return clusters\n```\n\n```\n$ python napkin_ml/examples/kmeans.py\n```  \n<p align=\"center\">\n    <img src=\"http://eriklindernoren.se/images/napkin_kmeans.png\" width=\"640\">\n</p>\n<p align=\"center\">\n    Figure: K-Means clustering of the Iris dataset.\n</p>\n\n### K-Nearest Neighbors\n```python\nclass KNN:\n    def predict(self, k, Xt, X, y):\n        idx = np.argsort(cdist(Xt, X))[:, :k]\n        y_pred = [np.bincount(y[i]).argmax() for i in idx]\n        return y_pred\n```\n\n```\n$ python napkin_ml/examples/knn.py\n```  \n<p align=\"center\">\n    <img src=\"http://eriklindernoren.se/images/napkin_knn.png\" width=\"640\">\n</p>\n<p align=\"center\">\n    Figure: Classification of the Iris dataset with K-Nearest Neighbors.\n</p>\n\n\n### Linear Regression\n```python\nclass LinearRegression:\n    def fit(self, X, y):\n        self.w = np.linalg.lstsq(X, y, rcond=None)[0]\n    def predict(self, X):\n        return X.dot(self.w)\n```\n\n```\n$ python napkin_ml/examples/linear_regression.py\n```  \n<p align=\"center\">\n    <img src=\"http://eriklindernoren.se/images/napkin_linreg.png\" width=\"640\">\n</p>\n<p align=\"center\">\n    Figure: Linear Regression.\n</p>\n\n### Linear Discriminant Analysis\n```python\nclass LDA:\n    def fit(self, X, y):\n        cov_sum = sum([np.cov(X[y == val], rowvar=False) for val in [0, 1]])\n        mean_diff = X[y == 0].mean(0) - X[y == 1].mean(0)\n        self.w = np.linalg.inv(cov_sum).dot(mean_diff)\n    def predict(self, X):\n        return 1 * (X.dot(self.w) < 0)\n```\n\n\n### Logistic Regression\n```python\nclass LogisticRegression:\n    def fit(self, X, y, n_iter=4000, lr=0.01):\n        self.w = np.random.rand(X.shape[1])\n        for _ in range(n_iter):\n            self.w -= lr * (self.predict(X) - y).dot(X)\n    def predict(self, X):\n        return sigmoid(X.dot(self.w))\n```\n\n```\n$ python napkin_ml/examples/logistic_regression.py\n```  \n<p align=\"center\">\n    <img src=\"http://eriklindernoren.se/images/napkin_logreg.png\" width=\"640\">\n</p>\n<p align=\"center\">\n    Figure: Classification with Logistic Regression.\n</p>\n\n### Multilayer Perceptron\n```python\nclass MLP:\n    def fit(self, X, y, n_epochs=4000, lr=0.01, n_units=10):\n        self.w = np.random.rand(X.shape[1], n_units)\n        self.v = np.random.rand(n_units, y.shape[1])\n        for _ in range(n_epochs):\n            h_out = sigmoid(X.dot(self.w))\n            out = softmax(h_out.dot(self.v))\n            self.v -= lr * h_out.T.dot(out - y)\n            self.w -= lr * X.T.dot((out - y).dot(self.v.T) * (h_out * (1 - h_out)))\n    def predict(self, X):\n        return softmax(sigmoid(X.dot(self.w)).dot(self.v))\n```\n\n```\n$ python napkin_ml/examples/mlp.py\n```  \n<p align=\"center\">\n    <img src=\"http://eriklindernoren.se/images/napkin_mlp1.png\" width=\"640\">\n</p>\n<p align=\"center\">\n    Figure: Classification of the Iris dataset with a Multilayer Perceptron <br> with one hidden layer.\n</p>\n\n\n### Principal Component Analysis\n```python\nclass PCA:\n    def transform(self, X, dim):\n        _, S, V = np.linalg.svd(X - X.mean(0), full_matrices=True)\n        idx = S.argsort()[::-1][:dim]\n        return X.dot(V[idx].T)\n```\n\n```\n$ python napkin_ml/examples/pca.py\n```  \n<p align=\"center\">\n    <img src=\"http://eriklindernoren.se/images/napkin_pca.png\" width=\"640\">\n</p>\n<p align=\"center\">\n    Figure: Dimensionality reduction with Principal Component Analysis.\n</p>\n"
  },
  {
    "path": "napkin_ml/__init__.py",
    "content": "from .models import *\n"
  },
  {
    "path": "napkin_ml/data/digits.csv",
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0,0,6,12,12,13,14,1,0,0,0,0,0,14,8,0,0,0,0,0,3,16,4,0,0,4\n0,0,5,12,16,12,0,0,0,2,16,10,8,16,4,0,0,7,16,8,2,16,4,0,0,0,5,15,16,10,0,0,0,0,0,12,16,8,0,0,0,0,6,12,5,16,4,0,0,0,8,12,6,16,6,0,0,0,5,15,15,9,0,0,8\n0,0,0,6,14,11,1,0,0,0,2,14,16,16,2,0,0,0,11,16,16,16,0,0,0,5,15,16,16,16,4,0,0,1,5,7,16,16,2,0,0,0,0,3,16,16,3,0,0,0,0,4,16,16,4,0,0,0,0,4,15,15,4,0,1\n0,0,5,10,16,15,6,0,0,0,12,9,8,15,12,0,0,0,0,0,1,16,5,0,0,2,15,12,13,15,2,0,0,2,11,11,15,10,5,0,0,0,0,11,7,0,0,0,0,0,4,16,1,0,0,0,0,0,9,12,0,0,0,0,7\n0,0,10,13,15,12,5,0,0,0,9,5,5,13,7,0,0,0,0,1,11,13,0,0,0,0,5,16,16,3,0,0,0,0,2,10,12,15,7,0,0,0,0,0,1,16,4,0,0,0,2,8,13,12,1,0,0,0,10,15,7,0,0,0,3\n0,0,2,12,11,2,0,0,0,1,15,12,9,13,0,0,0,6,13,1,0,14,2,0,0,6,12,0,0,8,8,0,0,8,12,0,0,7,8,0,0,5,15,0,0,7,9,0,0,0,13,9,8,15,4,0,0,0,3,13,16,8,0,0,0\n0,0,5,13,14,5,0,0,0,5,16,12,12,16,0,0,0,1,3,0,11,14,0,0,0,0,0,9,16,4,0,0,0,0,2,16,16,9,1,0,0,0,0,3,5,16,7,0,0,0,2,4,9,16,5,0,0,0,5,13,14,6,0,0,3\n0,0,6,9,13,11,0,0,0,10,14,8,9,16,4,0,0,0,0,0,1,15,6,0,0,0,0,3,14,14,1,0,0,0,7,16,16,16,4,0,0,0,1,1,0,12,9,0,0,0,1,2,5,14,10,0,0,0,7,16,13,10,1,0,3\n0,0,7,11,16,7,0,0,0,1,12,12,13,16,0,0,0,0,0,0,6,16,0,0,0,4,13,10,15,13,2,0,0,1,8,14,16,12,4,0,0,0,2,15,7,0,0,0,0,0,9,15,0,0,0,0,0,0,12,7,0,0,0,0,7\n0,1,9,15,16,8,0,0,0,7,16,12,16,8,0,0,0,0,2,0,16,8,0,0,0,1,8,12,16,10,1,0,0,4,16,16,16,16,11,0,0,0,12,16,3,4,2,0,0,0,9,16,0,0,0,0,0,0,14,11,0,0,0,0,7\n0,0,1,9,13,11,3,0,0,0,13,12,8,10,12,0,0,5,13,1,8,15,10,0,0,6,16,16,15,16,6,0,0,0,5,5,5,14,0,0,0,0,0,1,12,7,0,0,0,0,0,8,15,0,0,0,0,0,0,15,7,0,0,0,9\n0,0,0,4,13,12,2,0,0,0,1,15,16,16,3,0,0,0,7,16,16,16,2,0,0,1,14,16,16,16,3,0,0,7,16,16,16,16,0,0,0,0,0,11,16,13,0,0,0,0,0,8,16,15,3,0,0,0,0,6,16,12,2,0,1\n0,0,6,13,15,4,0,0,0,5,16,9,8,12,0,0,0,4,4,0,10,10,0,0,0,0,1,10,16,10,1,0,0,0,3,11,8,15,8,0,0,0,0,0,0,11,7,0,0,0,4,4,8,15,1,0,0,0,4,15,15,1,0,0,3\n0,0,7,13,16,9,0,0,0,0,11,8,9,16,5,0,0,0,0,0,7,15,0,0,0,0,0,13,16,5,0,0,0,0,0,10,12,16,3,0,0,0,0,0,3,16,2,0,0,0,2,7,14,7,0,0,0,0,10,10,2,0,0,0,3\n0,0,0,2,14,2,0,0,0,0,0,11,13,0,0,0,0,0,8,15,3,2,10,0,0,2,16,9,0,12,15,0,0,13,16,9,12,16,9,0,0,12,16,16,16,16,2,0,0,0,4,3,14,14,0,0,0,0,0,0,15,13,0,0,4\n0,3,9,14,16,13,1,0,0,7,13,9,10,16,4,0,0,0,1,1,12,12,1,0,0,0,0,14,16,4,0,0,0,0,0,8,14,16,2,0,0,0,0,0,3,16,8,0,0,0,3,9,15,12,1,0,0,2,16,13,7,0,0,0,3\n0,0,0,4,16,4,0,0,0,0,0,14,14,2,0,0,0,0,7,16,5,1,3,0,0,4,16,11,1,13,11,0,0,13,16,13,13,16,8,0,0,9,16,16,16,16,4,0,0,0,0,4,16,7,0,0,0,0,0,5,16,9,0,0,4\n0,0,12,16,7,0,0,0,0,1,16,9,15,2,0,0,0,0,3,0,12,4,0,0,0,0,0,0,13,4,0,0,0,0,0,7,15,1,0,0,0,1,11,16,7,0,0,0,0,7,16,16,11,6,2,0,0,1,8,11,12,13,7,0,2\n0,0,6,13,16,10,1,0,0,0,15,7,5,13,7,0,0,7,15,1,1,14,6,0,0,1,12,13,14,9,0,0,0,0,0,15,16,3,0,0,0,0,7,13,8,15,0,0,0,0,12,8,7,16,1,0,0,0,5,16,16,5,0,0,8\n0,0,4,12,16,15,5,0,0,0,13,16,16,16,7,0,0,4,16,13,14,11,0,0,0,6,16,16,14,1,0,0,0,0,9,16,12,1,0,0,0,0,12,12,15,7,0,0,0,0,13,10,13,12,0,0,0,0,3,15,13,4,0,0,8\n0,0,3,12,13,10,1,0,0,2,13,9,7,14,8,0,0,8,12,0,0,13,8,0,0,4,15,13,14,16,1,0,0,0,1,4,14,9,0,0,0,0,0,6,14,1,0,0,0,0,2,16,5,0,0,0,0,0,2,16,1,0,0,0,9\n0,0,1,11,12,4,0,0,0,1,11,12,9,15,5,0,0,7,16,4,3,15,7,0,0,3,15,13,15,11,0,0,0,0,3,16,13,14,0,0,0,0,8,9,0,14,7,0,0,0,11,9,9,15,6,0,0,0,2,12,14,8,0,0,8\n0,0,0,4,13,0,0,0,0,0,0,15,8,2,5,0,0,0,11,9,0,12,8,0,0,4,14,1,0,14,5,0,0,8,14,6,7,16,6,0,0,2,11,13,15,13,2,0,0,0,0,1,15,3,0,0,0,0,0,4,14,0,0,0,4\n0,0,12,15,15,12,1,0,0,0,3,4,5,15,7,0,0,0,0,0,5,14,0,0,0,1,11,12,14,11,0,0,0,0,4,11,16,16,7,0,0,0,0,13,7,0,0,0,0,0,4,14,1,0,0,0,0,0,12,5,0,0,0,0,7\n0,0,2,10,12,4,0,0,0,0,10,16,16,16,0,0,0,0,13,16,16,12,0,0,0,0,12,16,16,12,0,0,0,0,12,16,16,12,0,0,0,0,12,16,16,13,0,0,0,0,8,16,16,15,0,0,0,0,4,10,8,3,0,0,1\n0,0,0,10,8,0,0,0,0,0,3,16,7,0,0,0,0,0,10,9,0,0,0,0,0,0,14,9,7,3,0,0,0,1,16,16,14,16,5,0,0,1,15,10,0,3,14,1,0,0,8,12,5,5,15,4,0,0,1,9,15,16,11,0,6\n0,0,1,10,16,7,0,0,0,1,14,14,12,16,4,0,0,6,16,2,1,16,4,0,0,6,16,11,13,16,2,0,0,0,11,12,16,11,0,0,0,0,0,3,16,5,0,0,0,0,0,11,14,0,0,0,0,0,0,13,11,0,0,0,9\n0,0,0,0,10,0,0,0,0,0,0,6,13,0,0,0,0,0,1,13,5,2,2,0,0,0,11,9,0,14,7,0,0,5,16,1,8,16,2,0,0,3,16,14,16,15,5,0,0,0,0,0,16,8,0,0,0,0,0,0,15,8,0,0,4\n0,0,0,8,12,2,0,0,0,0,9,15,8,12,0,0,0,5,16,3,0,12,2,0,0,5,13,0,0,5,7,0,0,8,10,0,0,4,8,0,0,0,16,0,0,3,12,0,0,0,11,9,4,14,6,0,0,0,0,10,13,9,1,0,0\n0,0,0,3,15,11,4,0,0,0,0,13,16,15,0,0,0,0,7,16,16,12,0,0,0,6,16,16,16,12,0,0,0,5,10,5,16,13,0,0,0,0,0,4,16,16,2,0,0,0,0,6,16,16,2,0,0,0,0,3,13,12,1,0,1\n0,1,8,13,16,13,0,0,0,5,14,7,8,15,0,0,0,0,0,2,13,8,0,0,0,0,0,13,16,13,1,0,0,0,0,2,5,14,7,0,0,0,0,0,0,13,7,0,0,0,2,6,12,13,1,0,0,0,7,13,7,1,0,0,3\n0,0,0,7,13,4,0,0,0,0,8,15,7,2,0,0,0,2,15,5,0,0,0,0,0,5,15,0,0,0,0,0,0,5,16,16,15,12,4,0,0,2,15,11,4,10,12,0,0,0,7,13,5,12,13,0,0,0,1,8,13,12,3,0,6\n0,0,2,14,3,0,0,0,0,0,13,16,12,0,0,0,0,8,12,2,12,0,0,0,0,6,8,0,12,0,0,0,0,0,0,0,15,0,0,0,0,0,1,5,15,0,0,0,0,0,7,16,16,14,9,0,0,0,2,12,12,12,11,0,2\n0,0,0,2,13,1,0,0,0,0,1,15,11,0,0,0,0,0,8,15,2,2,0,0,0,1,16,7,3,16,3,0,0,7,16,10,10,16,4,0,0,5,12,13,16,15,2,0,0,0,0,1,14,10,0,0,0,0,0,0,15,11,0,0,4\n0,0,11,16,16,16,3,0,0,1,12,12,13,16,5,0,0,0,0,0,7,16,2,0,0,0,5,13,16,15,1,0,0,0,12,16,16,16,10,0,0,0,1,13,10,4,1,0,0,0,8,16,2,0,0,0,0,0,15,11,0,0,0,0,7\n0,0,0,7,15,1,0,0,0,0,2,14,11,0,0,0,0,0,8,16,4,1,7,0,0,5,16,9,0,12,15,0,0,11,16,14,12,16,9,0,0,6,12,12,16,16,1,0,0,0,0,5,16,8,0,0,0,0,0,10,12,0,0,0,4\n0,0,2,13,9,0,0,0,0,2,16,15,14,6,0,0,0,8,16,5,3,15,0,0,0,7,16,1,0,11,7,0,0,6,12,0,0,8,8,0,0,0,16,2,0,7,10,0,0,0,12,12,7,15,5,0,0,0,0,13,16,9,0,0,0\n0,2,14,16,14,2,0,0,0,9,15,9,16,8,0,0,0,1,3,1,16,6,0,0,0,0,0,5,16,3,0,0,0,0,0,13,13,0,0,0,0,0,7,16,3,0,0,0,0,2,15,16,10,12,6,0,0,4,16,16,16,16,11,0,2\n0,0,8,15,16,14,5,0,0,5,16,4,6,16,8,0,0,7,16,4,9,15,3,0,0,0,12,16,16,3,0,0,0,0,3,15,16,9,0,0,0,0,13,6,6,16,4,0,0,0,16,8,8,16,6,0,0,0,11,16,13,8,0,0,8\n0,4,14,14,16,16,4,0,0,5,16,11,5,4,0,0,0,4,16,4,0,0,0,0,0,6,16,16,16,11,0,0,0,4,11,6,7,16,4,0,0,0,0,0,4,16,4,0,0,0,1,7,15,12,0,0,0,4,16,12,5,0,0,0,5\n0,0,0,9,15,10,1,0,0,0,4,15,16,16,4,0,0,4,15,16,16,16,4,0,0,8,15,10,16,16,8,0,0,0,0,0,16,16,7,0,0,0,0,1,16,16,6,0,0,0,0,7,16,16,4,0,0,0,0,6,12,12,1,0,1\n0,0,5,16,10,1,0,0,0,11,14,13,14,12,0,0,0,12,16,4,3,15,5,0,0,11,12,1,0,7,9,0,0,9,10,0,0,3,14,0,0,6,14,0,0,9,16,0,0,0,14,9,9,16,11,0,0,0,5,15,16,15,1,0,0\n0,0,0,0,11,15,2,0,0,0,0,7,16,16,7,0,0,0,3,15,16,16,4,0,0,6,16,16,16,16,3,0,0,3,8,6,16,16,0,0,0,0,0,4,16,16,0,0,0,0,0,4,16,16,4,0,0,0,0,1,13,16,3,0,1\n0,0,3,12,15,4,0,0,0,0,14,12,13,14,2,0,0,1,16,0,8,16,10,0,0,5,15,13,16,16,8,0,0,1,8,9,11,16,5,0,0,0,0,2,15,10,0,0,0,0,0,10,14,2,0,0,0,0,3,14,5,0,0,0,9\n0,0,0,10,13,1,0,0,0,0,8,16,12,2,0,0,0,1,15,10,0,0,0,0,0,6,16,7,5,0,0,0,0,2,16,16,16,15,3,0,0,2,16,12,0,7,13,0,0,0,11,10,4,10,16,2,0,0,2,11,15,14,9,0,6\n0,0,1,8,16,14,1,0,0,0,11,13,7,15,7,0,0,2,15,2,0,9,12,0,0,6,15,9,13,16,8,0,0,0,6,12,13,16,2,0,0,0,0,0,12,10,0,0,0,0,0,8,15,1,0,0,0,0,0,13,7,0,0,0,9\n0,0,2,12,15,2,0,0,0,0,8,14,4,1,0,0,0,0,15,7,0,0,0,0,0,2,16,6,4,2,0,0,0,3,16,16,15,15,4,0,0,2,15,11,0,4,14,0,0,0,11,9,0,3,16,0,0,0,2,13,16,16,12,0,6\n0,0,4,12,14,9,1,0,0,1,16,13,9,16,7,0,0,7,16,1,4,16,4,0,0,8,13,4,12,16,4,0,0,2,14,14,16,9,0,0,0,0,0,7,16,2,0,0,0,0,1,14,11,0,0,0,0,0,4,16,5,0,0,0,9\n0,1,11,13,13,12,7,0,0,2,16,6,4,10,9,0,0,2,16,2,0,0,0,0,0,4,16,16,16,4,0,0,0,1,10,5,7,12,0,0,0,0,0,0,5,11,0,0,0,0,1,5,14,3,0,0,0,0,15,14,7,0,0,0,5\n0,0,0,11,11,0,0,0,0,0,3,16,7,8,11,0,0,0,14,14,0,16,12,0,0,7,16,7,9,16,9,0,0,8,16,16,16,16,11,0,0,1,4,10,16,8,0,0,0,0,0,9,15,0,0,0,0,0,0,9,11,0,0,0,4\n0,0,11,10,8,14,10,0,0,1,16,14,12,12,7,0,0,0,16,8,0,0,0,0,0,5,16,16,10,2,0,0,0,2,8,8,12,15,1,0,0,0,0,0,5,16,3,0,0,0,5,9,16,10,0,0,0,2,12,12,4,0,0,0,5\n0,0,0,7,14,15,3,0,0,0,11,16,9,15,10,0,0,5,14,3,4,14,10,0,0,7,15,10,16,16,4,0,0,2,11,11,10,16,1,0,0,0,0,0,11,11,0,0,0,0,0,5,16,7,0,0,0,0,0,10,15,0,0,0,9\n0,1,13,11,11,13,5,0,0,8,16,9,8,8,1,0,0,4,16,0,0,0,0,0,0,4,16,16,14,6,0,0,0,2,11,8,9,16,4,0,0,0,0,0,0,12,8,0,0,0,1,5,8,15,6,0,0,2,14,12,12,6,0,0,5\n0,1,13,16,16,16,4,0,0,0,11,12,13,16,4,0,0,0,0,0,13,11,0,0,0,0,11,16,16,16,7,0,0,0,11,15,14,13,8,0,0,0,0,16,7,0,0,0,0,0,9,16,1,0,0,0,0,0,14,10,0,0,0,0,7\n0,0,0,0,13,12,1,0,0,0,0,5,16,16,1,0,0,0,0,14,16,14,0,0,0,0,7,16,16,10,0,0,0,5,16,16,16,14,0,0,0,2,6,9,16,16,1,0,0,0,0,2,16,16,7,0,0,0,0,0,8,12,6,0,1\n0,0,4,10,16,9,0,0,0,4,15,9,8,12,0,0,0,4,4,0,8,10,0,0,0,0,0,6,16,13,1,0,0,0,0,9,10,12,7,0,0,0,0,0,0,10,7,0,0,0,1,6,10,16,3,0,0,0,4,14,10,2,0,0,3\n0,0,5,9,12,12,2,0,0,0,7,10,10,16,5,0,0,0,0,0,6,13,0,0,0,0,7,9,14,14,6,0,0,0,8,14,15,8,2,0,0,0,0,11,7,0,0,0,0,0,6,15,0,0,0,0,0,0,11,7,0,0,0,0,7\n0,0,4,11,15,4,0,0,0,3,15,15,10,16,0,0,0,8,15,2,0,14,4,0,0,7,13,0,0,10,8,0,0,7,12,0,0,13,4,0,0,1,15,4,1,15,2,0,0,0,10,12,11,12,0,0,0,0,2,11,13,2,0,0,0\n0,0,8,13,7,0,0,0,0,5,16,9,15,6,0,0,0,5,8,0,7,13,0,0,0,2,4,0,1,15,0,0,0,0,0,0,4,13,0,0,0,0,0,0,10,10,0,0,0,0,5,12,16,9,8,1,0,0,8,13,14,15,16,4,2\n0,0,0,11,13,1,0,0,0,2,7,16,11,11,0,0,0,8,16,8,0,9,1,0,0,7,12,7,0,4,5,0,0,3,9,0,0,4,9,0,0,1,12,1,0,10,7,0,0,0,7,11,10,15,0,0,0,0,1,11,13,5,0,0,0\n0,0,0,2,14,8,0,0,0,0,0,8,14,2,6,0,0,0,3,15,7,6,16,2,0,1,13,12,1,12,11,0,0,11,16,16,16,16,10,0,0,5,10,8,13,15,3,0,0,0,0,0,14,12,0,0,0,0,0,4,16,7,0,0,4\n0,0,1,12,16,12,2,0,0,0,8,12,11,16,4,0,0,5,16,3,12,13,1,0,0,2,15,15,15,3,0,0,0,0,5,16,15,6,0,0,0,0,6,13,8,16,6,0,0,0,6,13,4,13,12,0,0,0,1,14,16,11,2,0,8\n0,0,9,13,6,0,0,0,0,5,16,9,14,1,0,0,0,9,9,0,11,5,0,0,0,1,1,0,10,6,0,0,0,0,0,0,15,4,0,0,0,0,0,5,15,0,0,0,0,0,5,15,11,8,8,0,0,0,8,16,12,12,15,4,2\n0,0,6,15,16,11,3,0,0,0,12,8,8,14,9,0,0,0,0,0,3,16,4,0,0,0,0,5,16,13,1,0,0,0,0,8,12,14,7,0,0,0,0,0,3,15,2,0,0,0,2,9,15,8,0,0,0,0,10,9,2,0,0,0,3\n0,0,6,7,8,9,9,0,0,5,16,16,14,13,3,0,0,5,10,7,3,0,0,0,0,5,16,16,13,0,0,0,0,0,0,0,12,1,0,0,0,0,0,0,13,1,0,0,0,0,8,11,12,0,0,0,0,0,10,11,2,0,0,0,5\n0,1,8,14,16,6,0,0,0,9,15,10,13,10,0,0,0,1,2,7,16,5,0,0,0,0,4,16,9,0,0,0,0,0,4,16,11,2,0,0,0,0,0,4,13,16,9,0,0,1,8,4,4,13,13,0,0,0,9,14,16,13,7,0,3\n0,2,12,13,12,2,0,0,0,2,7,5,15,7,0,0,0,0,0,9,16,2,0,0,0,4,16,14,3,0,0,0,0,2,12,16,14,5,0,0,0,0,0,1,6,15,4,0,0,0,1,0,2,13,6,0,0,4,13,15,16,12,1,0,3\n0,0,0,6,14,0,0,0,0,0,3,15,9,0,0,0,0,0,14,14,0,7,10,0,0,8,16,8,0,14,15,1,0,12,16,12,10,16,10,0,0,5,14,16,16,15,2,0,0,0,0,4,16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11,15,8,0,0,0,0,11,11,4,16,0,0,0,6,11,1,3,13,0,0,0,3,14,6,14,2,0,0,0,0,2,16,10,0,0,0,0,0,4,11,10,7,0,0,0,0,5,8,5,13,0,0,0,0,1,12,16,5,0,0,8\n0,0,1,8,13,10,2,0,0,0,11,16,13,13,3,0,0,4,15,0,0,0,0,0,0,3,15,7,1,0,0,0,0,0,8,15,15,7,0,0,0,0,0,2,10,16,2,0,0,0,2,7,8,16,4,0,0,0,2,15,12,7,0,0,5\n0,0,7,14,16,8,0,0,0,0,5,10,13,7,0,0,0,0,0,0,13,3,0,0,0,0,4,8,16,8,4,0,0,2,16,16,13,12,4,0,0,1,3,14,2,0,0,0,0,0,2,14,0,0,0,0,0,0,8,13,0,0,0,0,7\n0,0,0,6,13,3,0,0,0,0,4,16,13,1,0,0,0,0,13,11,1,0,0,0,0,5,15,1,0,0,0,0,0,5,13,0,0,0,0,0,0,2,16,10,16,13,3,0,0,0,11,16,14,16,15,0,0,0,1,8,13,13,9,0,6\n0,0,0,2,9,15,15,0,0,0,4,14,12,9,12,0,0,2,14,6,0,10,10,0,0,6,16,6,7,16,8,0,0,1,13,16,11,15,7,0,0,0,0,0,1,16,3,0,0,0,0,0,7,15,0,0,0,0,0,0,11,9,0,0,9\n0,0,0,0,10,12,0,0,0,0,0,0,15,12,0,0,0,0,0,7,16,12,0,0,0,0,9,16,16,11,0,0,0,8,16,11,16,12,0,0,0,3,4,3,16,9,0,0,0,0,0,0,15,10,0,0,0,0,0,0,9,13,0,0,1\n0,0,0,0,9,13,0,0,0,0,0,3,15,12,0,0,0,0,2,13,16,14,0,0,0,4,14,14,14,14,0,0,0,5,11,1,9,13,0,0,0,0,0,0,11,11,0,0,0,0,0,0,10,10,0,0,0,0,0,0,9,9,0,0,1\n0,0,0,14,8,8,14,0,0,0,1,11,15,16,13,0,0,0,0,0,6,16,3,0,0,3,13,16,16,16,3,0,0,2,8,11,15,9,4,0,0,0,0,10,7,0,0,0,0,0,0,16,5,0,0,0,0,0,0,14,1,0,0,0,7\n0,0,6,16,14,3,0,0,0,0,9,5,5,11,0,0,0,0,3,2,3,12,0,0,0,2,15,14,12,3,0,0,0,0,3,15,12,8,0,0,0,0,10,6,0,11,2,0,0,0,13,3,0,9,7,0,0,0,5,14,14,12,4,0,8\n0,0,0,0,10,5,0,0,0,0,0,0,16,4,0,0,0,0,0,9,12,4,3,0,0,0,2,15,1,11,8,0,0,0,14,7,0,14,4,0,0,6,16,9,15,15,2,0,0,9,13,8,13,4,0,0,0,0,0,0,9,4,0,0,4\n0,2,13,9,1,0,0,0,0,8,15,13,10,0,0,0,0,2,6,1,12,0,0,0,0,0,0,4,12,0,0,0,0,0,0,12,6,0,0,0,0,0,8,12,0,0,0,0,0,2,16,11,14,16,9,0,0,2,15,12,11,5,1,0,2\n0,0,6,14,16,5,0,0,0,3,16,10,14,14,0,0,0,3,6,1,13,9,0,0,0,0,2,15,16,11,0,0,0,0,2,12,14,16,2,0,0,0,0,0,1,16,7,0,0,0,6,13,10,15,3,0,0,0,10,16,13,5,0,0,3\n0,0,5,13,10,0,0,0,0,1,15,16,16,4,0,0,0,3,11,0,10,7,0,0,0,0,1,0,13,0,0,0,0,0,0,5,11,0,0,0,0,0,3,15,3,0,0,0,0,0,8,16,16,15,2,0,0,0,6,13,12,10,2,0,2\n0,0,1,13,16,16,9,0,0,0,13,14,12,12,11,0,0,9,16,5,0,0,0,0,0,9,16,6,2,0,0,0,0,3,15,16,15,3,0,0,0,0,3,11,16,10,0,0,0,0,4,16,16,7,0,0,0,0,0,15,15,2,0,0,5\n0,0,0,4,13,6,0,0,0,0,0,11,16,12,0,0,0,0,8,16,16,10,0,0,0,6,16,16,16,6,0,0,0,5,12,12,16,3,0,0,0,0,0,10,15,0,0,0,0,0,0,10,14,0,0,0,0,0,0,5,16,2,0,0,1\n0,0,3,0,6,15,0,0,0,9,16,14,16,15,0,0,0,5,7,8,14,11,0,0,0,0,1,4,13,11,2,0,0,0,8,16,16,16,12,0,0,0,1,8,15,11,2,0,0,0,0,0,12,12,0,0,0,0,0,0,8,13,0,0,7\n0,0,0,11,4,0,0,0,0,0,6,15,2,0,0,0,0,0,14,7,0,0,0,0,0,3,16,9,12,6,0,0,0,4,16,15,10,12,9,0,0,2,16,9,0,0,12,0,0,0,8,13,2,2,14,2,0,0,0,8,15,15,11,0,6\n0,0,3,12,12,1,0,0,0,0,15,15,13,11,0,0,0,3,16,4,0,14,2,0,0,5,15,5,0,5,7,0,0,8,8,0,0,4,8,0,0,4,14,0,0,7,11,0,0,0,14,11,12,16,3,0,0,0,3,14,12,4,0,0,0\n0,0,2,10,12,11,1,0,0,0,11,14,9,16,3,0,0,2,16,1,11,11,0,0,0,6,16,15,14,3,0,0,0,0,7,16,12,0,0,0,0,0,5,14,11,13,0,0,0,0,7,14,9,14,0,0,0,0,2,13,16,7,0,0,8\n0,0,0,0,3,13,4,0,0,0,0,0,11,16,8,0,0,0,0,8,16,16,6,0,0,1,9,16,9,16,2,0,0,7,16,5,5,16,0,0,0,0,2,0,8,13,0,0,0,0,0,0,9,12,0,0,0,0,0,0,5,15,3,0,1\n0,0,0,0,9,8,0,0,0,0,0,4,16,2,0,0,0,0,0,15,10,0,0,0,0,0,6,11,1,6,6,0,0,1,14,2,0,9,7,0,0,9,7,0,3,16,2,0,0,7,16,16,16,15,3,0,0,1,4,2,11,3,0,0,4\n0,0,0,0,12,14,0,0,0,0,0,1,16,16,1,0,0,0,5,14,16,12,0,0,0,5,16,16,16,8,0,0,0,9,15,9,16,8,0,0,0,0,1,2,16,7,0,0,0,0,0,4,16,10,0,0,0,0,0,0,10,16,6,0,1\n0,0,0,2,11,16,12,0,0,0,4,15,14,16,8,0,0,1,16,13,14,16,6,0,0,2,16,16,11,15,5,0,0,0,6,12,16,10,0,0,0,0,0,0,15,6,0,0,0,0,0,2,16,7,0,0,0,0,0,1,16,5,0,0,9\n0,0,7,14,12,1,0,0,0,2,16,12,16,8,0,0,0,2,10,0,12,8,0,0,0,0,5,12,16,3,0,0,0,0,5,12,15,13,1,0,0,0,0,0,5,16,3,0,0,0,12,8,4,13,3,0,0,0,9,16,14,9,0,0,3\n0,0,3,14,16,16,12,0,0,2,15,16,11,8,6,0,0,9,16,4,0,0,0,0,0,9,16,16,14,3,0,0,0,0,9,9,14,14,0,0,0,0,0,0,5,16,0,0,0,0,0,4,14,12,0,0,0,0,2,16,13,3,0,0,5\n0,0,0,1,15,4,0,0,0,0,0,6,16,1,0,0,0,0,0,14,12,0,0,0,0,0,10,16,2,3,0,0,0,4,16,8,3,16,4,0,0,12,16,13,15,16,4,0,0,8,14,12,16,14,5,0,0,0,0,1,16,6,0,0,4\n0,0,8,16,11,0,0,0,0,1,14,10,16,5,0,0,0,1,4,7,15,1,0,0,0,0,6,16,15,4,0,0,0,0,0,5,10,16,5,0,0,0,4,0,1,16,4,0,0,0,13,8,15,10,0,0,0,0,11,14,5,0,0,0,3\n0,0,10,16,16,16,2,0,0,0,7,8,10,16,0,0,0,0,0,0,10,14,5,0,0,0,8,15,16,16,8,0,0,0,14,16,11,0,0,0,0,0,3,16,2,0,0,0,0,0,10,10,0,0,0,0,0,0,12,3,0,0,0,0,7\n0,0,2,11,0,0,0,0,0,0,8,10,0,0,0,0,0,0,14,6,0,0,0,0,0,0,15,3,3,0,0,0,0,3,16,16,16,16,5,0,0,2,15,5,0,5,13,0,0,0,12,13,8,10,15,0,0,0,1,10,16,13,6,0,6\n0,0,1,11,14,12,1,0,0,0,11,12,9,16,3,0,0,7,6,6,12,6,0,0,0,6,13,10,14,1,0,0,0,0,12,16,4,0,0,0,0,0,14,13,14,4,0,0,0,0,11,12,11,15,0,0,0,0,1,9,14,14,1,0,8\n0,0,11,15,9,0,0,0,0,0,13,9,13,10,0,0,0,0,13,6,1,11,3,0,0,4,12,0,0,4,8,0,0,8,7,0,0,5,8,0,0,7,8,0,5,15,3,0,0,2,14,10,16,10,0,0,0,0,12,12,3,0,0,0,0\n0,0,9,16,10,0,0,0,0,0,4,10,15,2,0,0,0,0,13,0,4,13,0,0,0,4,16,0,0,13,2,0,0,7,12,0,0,10,6,0,0,8,13,1,2,13,8,0,0,5,16,16,16,16,2,0,0,0,9,16,15,8,0,0,0\n0,3,14,9,5,0,0,0,0,0,7,10,16,0,0,0,0,0,0,2,14,0,0,0,0,0,0,10,6,0,0,0,0,0,3,15,1,0,0,0,0,1,13,8,0,0,0,0,0,8,16,10,12,15,7,0,0,3,12,16,13,8,3,0,2\n0,0,7,15,6,0,0,0,0,0,5,8,14,7,0,0,0,0,7,2,4,13,2,0,0,0,14,3,0,12,4,0,0,2,16,0,1,14,5,0,0,5,13,0,7,16,3,0,0,1,16,9,15,13,0,0,0,0,9,15,10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0,0,0,0,9,12,0,3,1,0,0,0,7,13,2,16,12,2,0,0,3,16,2,2,13,9,0,0,0,11,13,6,15,10,0,0,0,0,8,16,13,1,0,6\n0,2,9,14,8,7,0,0,0,11,16,16,16,16,0,0,0,6,16,16,16,16,2,0,0,0,0,0,8,16,7,0,0,0,0,0,8,16,4,0,0,0,0,1,15,16,0,0,0,0,4,14,16,7,0,0,0,1,13,14,2,0,0,0,9\n0,0,0,8,11,0,0,0,0,0,3,16,5,0,0,0,0,0,11,13,0,0,0,0,0,1,16,5,0,1,0,0,0,7,15,0,3,16,3,0,0,8,13,1,10,16,4,0,0,7,16,16,16,16,2,0,0,0,4,6,5,15,3,0,4\n0,1,12,16,8,2,0,0,0,2,16,8,16,15,0,0,0,0,16,9,16,6,0,0,0,0,8,16,8,0,0,0,0,0,9,16,1,0,0,0,0,0,15,16,8,0,0,0,0,3,16,16,9,0,0,0,0,0,7,14,2,0,0,0,8\n0,0,0,2,14,1,0,0,0,0,0,10,12,0,0,0,0,0,8,15,1,2,1,0,0,3,15,5,0,12,7,0,0,10,14,0,6,16,2,0,0,8,16,16,16,12,0,0,0,0,2,4,16,5,0,0,0,0,0,2,13,0,0,0,4\n0,0,5,11,14,9,1,0,0,6,15,12,13,16,2,0,0,8,5,4,16,9,0,0,0,0,0,4,16,8,0,0,0,0,0,2,15,11,0,0,0,0,0,0,10,16,3,0,0,0,1,11,16,10,1,0,0,0,5,13,6,0,0,0,3\n0,0,0,0,10,10,2,0,0,0,0,6,16,7,0,0,0,0,3,16,7,0,0,0,0,0,14,13,0,3,0,0,0,4,16,6,4,16,4,0,0,5,16,9,13,16,6,0,0,0,7,12,16,14,1,0,0,0,0,0,12,14,0,0,4\n0,0,9,12,16,16,3,0,0,0,14,16,16,11,0,0,0,0,7,16,2,0,0,0,0,0,1,16,7,0,0,0,0,0,0,12,10,0,0,0,0,0,0,8,15,0,0,0,0,3,14,16,12,0,0,0,0,1,15,16,6,0,0,0,5\n0,0,5,11,12,2,0,0,0,5,16,14,14,12,0,0,0,5,7,0,10,10,0,0,0,0,0,1,14,6,0,0,0,0,0,14,12,1,0,0,0,0,11,16,1,0,0,0,0,0,15,13,8,5,2,0,0,0,3,12,16,15,9,0,2\n0,0,2,10,15,16,16,5,0,0,10,13,12,14,16,6,0,0,0,0,0,8,16,1,0,0,0,4,4,14,12,0,0,0,6,16,16,16,8,0,0,0,2,11,16,11,1,0,0,0,0,12,15,0,0,0,0,0,1,16,8,0,0,0,7\n0,0,4,14,15,3,0,0,0,0,14,16,16,9,0,0,0,0,11,16,16,15,0,0,0,0,3,13,16,16,1,0,0,0,0,0,3,16,6,0,0,0,0,0,13,16,1,0,0,0,2,11,16,12,0,0,0,0,6,15,10,1,0,0,9\n0,0,0,7,16,6,0,0,0,2,9,16,16,11,0,0,0,10,16,12,13,16,1,0,0,2,4,1,7,16,5,0,0,0,0,0,2,16,10,0,0,0,0,0,2,16,13,0,0,0,0,4,14,16,12,0,0,0,0,4,14,9,2,0,1\n0,0,6,16,16,11,0,0,0,0,15,16,14,8,0,0,0,0,9,13,0,0,0,0,0,0,3,15,1,0,0,0,0,0,0,11,8,0,0,0,0,0,2,13,14,0,0,0,0,0,16,16,13,0,0,0,0,0,7,16,6,0,0,0,5\n0,0,0,13,14,2,0,0,0,0,7,16,12,2,0,0,0,0,14,14,1,0,0,0,0,0,15,11,0,0,0,0,0,4,16,16,14,14,4,0,0,2,16,16,13,10,14,0,0,0,9,13,8,12,16,1,0,0,1,11,16,16,10,0,6\n0,0,0,8,14,16,6,0,0,3,13,16,13,15,14,0,0,3,12,6,0,11,16,0,0,0,0,0,4,15,13,0,0,0,0,12,16,16,11,0,0,0,1,11,16,11,0,0,0,0,0,7,16,5,0,0,0,0,0,11,12,0,0,0,7\n0,0,2,7,13,3,0,0,0,0,10,16,12,13,0,0,0,0,15,9,1,12,4,0,0,1,15,0,0,8,7,0,0,5,8,0,0,12,5,0,0,1,11,0,1,15,4,0,0,0,14,13,15,10,0,0,0,0,3,13,14,3,0,0,0\n0,0,0,14,8,1,0,0,0,0,9,16,16,4,0,0,0,11,16,16,14,0,0,0,0,5,8,14,16,2,0,0,0,0,0,7,16,6,0,0,0,0,0,4,16,12,0,0,0,0,1,6,16,14,0,0,0,0,2,14,16,9,0,0,1\n0,0,3,12,13,1,0,0,0,0,14,16,15,11,0,0,0,0,15,15,15,14,0,0,0,0,11,16,15,16,2,0,0,0,1,5,3,16,6,0,0,0,0,0,1,16,6,0,0,0,0,5,15,16,4,0,0,0,6,16,16,6,0,0,9\n0,0,9,16,7,5,0,0,0,0,9,16,16,16,0,0,0,0,7,16,15,6,0,0,0,0,7,16,7,0,0,0,0,0,14,16,5,0,0,0,0,3,16,16,4,0,0,0,0,1,16,16,5,0,0,0,0,0,7,12,1,0,0,0,8\n0,0,0,1,11,5,0,0,0,0,0,13,12,1,0,0,0,0,8,14,3,0,0,0,0,2,16,6,2,12,4,0,0,7,16,7,8,15,5,0,0,2,16,16,16,11,0,0,0,0,4,10,16,7,0,0,0,0,0,3,14,4,0,0,4\n0,0,1,14,15,3,0,0,0,0,9,16,16,8,0,0,0,9,16,16,14,10,0,0,0,0,3,8,16,14,0,0,0,0,0,2,16,16,2,0,0,0,0,0,13,16,9,0,0,0,1,10,16,16,9,0,0,0,2,10,15,10,0,0,1\n0,0,4,12,16,9,0,0,0,0,13,10,4,14,3,0,0,5,13,1,0,12,4,0,0,4,12,0,0,8,8,0,0,6,12,0,0,10,7,0,0,3,15,0,2,16,3,0,0,0,16,13,15,11,0,0,0,0,6,15,10,0,0,0,0\n0,0,1,10,13,0,0,0,0,0,11,16,9,0,0,0,0,0,15,12,0,0,0,0,0,3,16,5,0,0,0,0,0,5,16,8,12,10,1,0,0,2,16,8,10,15,9,0,0,0,9,14,8,12,15,0,0,0,0,8,14,15,8,0,6\n0,0,1,9,13,16,8,0,0,0,12,13,9,11,14,0,0,0,0,0,0,9,12,0,0,0,0,5,9,15,10,0,0,0,5,16,16,16,5,0,0,0,0,0,13,12,0,0,0,0,0,2,16,7,0,0,0,0,0,9,16,0,0,0,7\n0,0,6,16,16,10,0,0,0,5,16,16,13,6,0,0,0,1,15,15,1,0,0,0,0,0,4,16,5,0,0,0,0,0,0,14,11,0,0,0,0,0,0,13,14,0,0,0,0,0,9,16,11,0,0,0,0,0,8,15,5,0,0,0,5\n0,0,0,12,9,0,0,0,0,0,4,16,16,2,0,0,0,5,15,16,16,3,0,0,0,6,14,13,15,12,0,0,0,0,0,0,8,16,2,0,0,0,0,0,0,16,10,0,0,0,0,7,9,15,15,0,0,0,0,10,16,14,5,0,1\n0,2,15,12,3,6,0,0,0,5,16,13,6,16,6,0,0,6,16,1,3,16,2,0,0,0,15,11,15,14,0,0,0,0,9,16,16,3,0,0,0,0,13,16,6,0,0,0,0,8,16,16,2,0,0,0,0,3,15,13,0,0,0,0,8\n0,0,5,13,14,1,0,0,0,0,14,16,16,9,0,0,0,0,10,16,16,14,0,0,0,0,2,12,14,16,2,0,0,0,0,0,8,16,2,0,0,0,0,4,15,16,2,0,0,0,5,16,16,14,0,0,0,0,4,14,15,1,0,0,9\n0,0,1,13,10,0,0,0,0,0,10,16,7,0,0,0,0,3,16,7,0,0,0,0,0,3,16,3,0,0,0,0,0,8,16,6,8,7,0,0,0,3,15,16,16,16,8,0,0,0,9,16,16,16,5,0,0,0,0,8,15,9,0,0,6\n0,1,7,14,16,11,0,0,0,11,16,12,15,16,1,0,0,8,4,3,16,10,0,0,0,0,0,1,16,7,0,0,0,0,0,0,16,11,0,0,0,0,0,0,12,16,0,0,0,0,2,7,15,13,0,0,0,0,10,15,9,1,0,0,3\n0,1,9,14,7,2,0,0,0,8,16,11,16,14,2,0,0,5,16,14,16,16,4,0,0,0,4,7,10,16,7,0,0,0,0,0,4,16,8,0,0,0,0,0,6,16,9,0,0,0,4,11,16,11,0,0,0,0,12,14,8,0,0,0,9\n0,0,0,0,13,6,0,0,0,0,1,10,13,3,0,0,0,0,5,16,5,0,0,0,0,2,15,9,0,1,0,0,0,7,16,1,5,16,6,0,0,8,16,12,16,14,0,0,0,2,11,13,16,12,0,0,0,0,0,1,14,5,0,0,4\n0,0,5,12,13,1,0,0,0,3,15,14,7,10,0,0,0,0,15,7,14,16,2,0,0,0,8,16,16,9,0,0,0,0,3,16,16,1,0,0,0,0,12,16,16,6,0,0,0,1,16,16,16,7,0,0,0,0,6,14,12,1,0,0,8\n0,0,9,16,16,8,0,0,0,2,16,16,13,4,0,0,0,3,16,6,1,0,0,0,0,0,11,11,0,0,0,0,0,0,2,14,5,0,0,0,0,0,0,12,10,0,0,0,0,0,10,16,15,0,0,0,0,0,10,15,6,0,0,0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6,16,16,16,5,2\n0,0,12,16,10,0,0,0,0,3,16,6,14,9,0,0,0,7,14,0,3,15,3,0,0,9,12,0,0,8,10,0,0,8,12,0,0,4,12,0,0,7,13,0,0,5,12,0,0,2,16,6,2,13,9,0,0,0,9,16,16,13,0,0,0\n0,0,15,16,13,2,0,0,0,3,15,2,10,15,2,0,0,8,12,0,0,10,8,0,0,8,12,0,0,4,12,0,0,9,12,0,0,4,12,0,0,8,12,0,0,9,8,0,0,6,15,4,11,14,2,0,0,0,12,16,15,3,0,0,0\n0,0,11,16,16,16,6,0,0,4,16,13,10,4,2,0,0,4,16,0,0,0,0,0,0,1,15,10,0,0,0,0,0,0,6,15,9,0,0,0,0,2,1,3,16,1,0,0,0,9,11,5,16,2,0,0,0,1,11,16,14,0,0,0,5\n0,0,2,14,11,0,0,0,0,0,13,7,9,6,0,0,0,0,12,0,1,12,2,0,0,3,12,0,2,15,4,0,0,1,13,14,12,14,7,0,0,0,0,0,0,12,4,0,0,0,0,0,0,10,3,0,0,0,2,14,12,14,0,0,9\n0,0,0,14,7,0,0,0,0,0,0,16,12,0,0,0,0,0,5,16,13,0,0,0,0,1,14,14,16,1,0,0,0,3,3,1,16,5,0,0,0,0,0,0,11,8,0,0,0,0,0,3,13,13,0,0,0,0,0,12,16,16,8,0,1\n0,0,6,16,15,2,0,0,0,1,16,10,7,2,0,0,0,6,15,0,0,0,0,0,0,8,15,0,0,0,0,0,0,9,12,5,11,4,0,0,0,5,15,16,14,14,10,0,0,0,11,15,1,6,16,0,0,0,5,12,16,16,8,0,6\n0,0,0,7,15,6,0,0,0,0,7,16,4,1,3,0,0,2,16,10,0,14,13,0,0,6,16,7,4,16,8,0,0,6,16,16,14,16,6,0,0,1,7,9,16,13,0,0,0,0,0,4,16,7,0,0,0,0,0,10,12,0,0,0,4\n0,4,16,16,6,0,0,0,0,4,14,8,16,0,0,0,0,3,8,5,16,0,0,0,0,0,0,5,16,0,0,0,0,0,0,14,9,0,0,0,0,0,5,15,2,0,0,0,0,1,13,15,11,9,7,0,0,6,16,14,12,12,12,0,2\n0,1,13,16,15,1,0,0,0,5,13,10,16,5,0,0,0,0,0,10,14,1,0,0,0,0,7,16,3,0,0,0,0,0,4,16,13,1,0,0,0,0,0,5,16,12,0,0,0,0,6,6,8,16,6,0,0,0,15,16,16,15,1,0,3\n0,2,13,16,13,9,2,0,0,1,13,5,4,4,2,0,0,0,12,5,0,0,0,0,0,0,14,16,13,3,0,0,0,0,1,4,8,12,0,0,0,0,0,0,3,16,0,0,0,7,8,4,8,13,0,0,0,3,10,14,12,4,0,0,5\n0,0,11,16,16,10,1,0,0,8,16,10,8,10,6,0,0,14,7,0,0,0,0,0,0,9,14,0,0,0,0,0,0,2,15,10,0,0,0,0,0,0,2,15,12,0,0,0,0,3,11,10,16,1,0,0,0,1,11,16,16,2,0,0,5\n0,0,0,13,15,2,0,0,0,0,4,16,14,1,0,0,0,0,15,16,11,0,0,0,0,6,9,16,14,0,0,0,0,0,0,10,15,2,0,0,0,0,0,6,16,4,0,0,0,0,0,1,16,11,0,0,0,0,0,15,16,15,0,0,1\n0,0,11,14,4,0,0,0,0,3,13,2,12,0,0,0,0,4,12,2,8,0,0,0,0,0,12,12,6,0,0,0,0,0,8,16,10,1,0,0,0,2,15,1,5,10,8,0,0,0,10,0,0,2,12,0,0,0,9,11,12,14,4,0,8\n0,0,1,10,16,16,4,0,0,0,7,8,6,16,7,0,0,0,0,0,3,16,5,0,0,1,4,4,10,14,3,0,0,12,16,16,16,10,5,0,0,2,0,9,13,1,0,0,0,0,1,16,7,0,0,0,0,0,0,15,4,0,0,0,7\n0,0,0,10,16,16,16,9,0,0,0,2,5,10,16,12,0,0,0,0,0,6,16,2,0,0,0,0,0,14,10,0,0,1,8,14,16,16,5,0,0,5,10,8,16,10,1,0,0,0,0,5,14,1,0,0,0,0,0,13,9,0,0,0,7\n0,0,0,4,15,6,0,3,0,0,0,13,14,1,11,11,0,0,8,16,4,4,16,4,0,2,16,6,3,11,13,0,0,12,16,16,16,16,7,0,0,11,9,7,13,14,1,0,0,0,0,1,14,5,0,0,0,0,0,7,12,0,0,0,4\n0,1,10,16,16,16,16,5,0,1,16,13,6,1,1,0,0,4,16,15,10,3,0,0,0,1,8,11,16,16,2,0,0,0,1,0,1,14,7,0,0,7,9,0,0,12,8,0,0,5,16,3,0,15,5,0,0,0,9,16,16,13,2,0,5\n0,0,8,16,12,1,0,0,0,3,15,5,13,13,0,0,0,10,12,0,1,15,6,0,0,12,9,0,0,7,12,0,0,12,10,0,0,5,12,0,0,8,14,0,0,7,12,0,0,3,16,9,5,15,5,0,0,0,9,16,16,11,0,0,0\n0,0,6,16,16,10,0,0,0,1,15,11,6,15,3,0,0,7,16,2,0,11,9,0,0,12,14,0,0,9,11,0,0,8,16,0,0,8,12,0,0,4,16,5,0,9,11,0,0,1,14,13,6,16,3,0,0,0,5,15,16,6,0,0,0\n0,0,4,16,14,0,0,0,0,0,8,16,6,0,0,0,0,1,15,16,4,0,0,0,0,10,16,16,4,0,0,0,0,0,5,16,10,0,0,0,0,0,1,16,12,0,0,0,0,0,1,15,16,6,1,0,0,0,6,16,16,16,4,0,1\n0,0,1,11,16,16,15,1,0,0,6,9,8,14,14,0,0,0,0,0,0,12,10,0,0,0,1,4,6,16,4,0,0,0,10,16,16,15,7,0,0,0,3,5,16,6,0,0,0,0,0,9,15,0,0,0,0,0,1,15,4,0,0,0,7\n0,0,12,16,9,0,0,0,0,3,16,7,5,0,0,0,0,11,13,0,0,0,0,0,0,9,12,0,0,0,0,0,0,9,13,10,15,8,0,0,0,5,16,15,8,11,10,0,0,4,16,12,1,5,16,0,0,1,10,15,16,16,10,0,6\n0,0,4,13,15,2,0,0,0,2,16,11,10,8,1,0,0,8,15,1,0,13,10,0,0,8,15,9,13,16,9,0,0,0,10,16,12,16,4,0,0,0,0,0,4,16,4,0,0,0,0,2,5,16,7,0,0,0,4,16,16,16,5,0,9\n0,0,0,3,14,7,0,0,0,0,0,12,12,0,3,8,0,0,9,14,0,2,16,6,0,4,16,2,0,10,14,0,1,15,8,3,8,16,4,0,7,16,16,16,16,12,0,0,2,9,5,2,15,3,0,0,0,0,0,5,14,0,0,0,4\n0,0,13,15,4,0,0,0,0,8,15,8,10,0,0,0,0,11,12,0,0,0,0,0,0,12,7,0,4,1,0,0,0,11,10,11,16,14,3,0,0,4,16,16,6,7,14,0,0,1,16,14,1,1,14,3,0,0,10,13,16,15,15,0,6\n0,0,7,15,13,9,2,0,0,4,15,0,0,10,9,0,0,1,15,5,3,13,5,0,0,0,7,16,13,1,0,0,0,0,10,12,15,4,0,0,0,0,8,1,8,13,0,0,0,11,11,4,1,16,0,0,0,1,9,12,16,12,0,0,8\n0,0,7,13,14,2,0,0,0,5,12,0,4,7,0,0,0,8,8,0,0,16,3,0,0,5,11,0,1,16,1,0,0,0,10,13,14,15,5,0,0,0,0,0,0,10,8,0,0,0,0,0,0,11,6,0,0,0,6,13,12,9,0,0,9\n0,0,7,15,3,0,0,0,0,0,15,6,0,0,0,0,0,6,13,0,0,0,0,0,0,7,13,0,0,0,0,0,0,8,11,7,13,11,2,0,0,3,16,15,5,4,11,0,0,0,16,6,0,7,11,0,0,0,8,12,15,10,1,0,6\n0,2,12,16,16,3,0,0,0,11,10,5,16,4,0,0,0,0,0,11,13,0,0,0,0,0,1,15,9,0,0,0,0,0,0,4,16,5,0,0,0,0,0,0,6,15,3,0,0,0,3,1,0,11,11,0,0,1,16,16,16,16,9,0,3\n0,0,1,15,16,13,1,0,0,3,11,11,3,13,9,0,0,12,13,0,0,8,12,0,0,9,15,0,0,8,12,0,0,4,16,2,0,8,12,0,0,2,15,9,0,8,12,0,0,0,10,16,5,14,8,0,0,0,1,12,16,15,1,0,0\n0,0,6,12,12,2,0,0,0,4,14,0,9,6,0,0,0,5,13,0,12,3,0,0,0,0,7,14,12,0,0,0,0,0,1,12,13,10,0,0,0,0,10,3,1,12,6,0,0,7,10,0,0,11,8,0,0,1,10,13,12,9,1,0,8\n0,0,9,13,16,6,0,0,0,2,16,14,16,2,0,0,0,0,2,14,8,0,0,0,0,0,4,16,13,6,0,0,0,0,0,4,12,16,6,0,0,0,0,0,0,13,7,0,0,0,5,7,12,15,1,0,0,0,12,16,11,1,0,0,3\n0,1,12,16,3,0,0,0,0,5,14,14,4,0,0,0,0,9,7,7,8,0,0,0,0,6,2,8,8,0,0,0,0,0,0,10,5,0,0,0,0,0,0,14,2,0,0,0,0,0,9,16,11,8,5,0,0,2,14,11,12,16,9,0,2\n0,0,8,16,14,4,0,0,0,1,15,7,9,15,2,0,0,8,11,0,0,12,9,0,0,9,5,0,0,6,12,0,0,9,8,0,0,4,12,0,0,8,12,0,0,9,12,0,0,3,16,6,7,15,5,0,0,0,8,16,16,12,0,0,0\n0,0,5,14,9,0,0,0,0,1,14,4,9,0,0,0,0,0,16,0,6,4,0,0,0,0,13,3,13,2,0,0,0,0,1,13,13,0,0,0,0,0,4,14,9,13,3,0,0,0,13,3,0,3,15,0,0,0,5,12,12,15,4,0,8\n0,0,1,15,16,16,15,0,0,0,0,8,8,14,10,0,0,0,0,0,4,15,1,0,0,0,0,3,12,12,2,0,0,2,12,16,16,14,7,0,0,3,6,9,10,0,0,0,0,0,0,13,6,0,0,0,0,0,2,16,2,0,0,0,7\n0,2,15,9,0,0,0,0,0,8,13,15,0,0,0,0,0,10,4,14,3,0,0,0,0,11,2,12,4,0,0,0,0,1,0,12,4,0,0,0,0,0,2,16,0,0,0,0,0,0,11,14,6,6,5,0,0,2,16,16,16,16,9,0,2\n0,0,6,13,12,2,0,0,0,0,14,2,2,10,0,0,0,4,10,0,6,13,0,0,0,4,10,0,8,12,0,0,0,0,11,12,13,13,0,0,0,0,0,3,0,11,0,0,0,0,0,0,0,9,4,0,0,0,5,16,16,13,2,0,9\n0,0,8,12,12,0,0,0,0,5,14,2,9,8,0,0,0,4,14,1,11,4,0,0,0,0,7,14,12,1,0,0,0,0,11,11,12,4,0,0,0,3,14,0,2,12,5,0,0,4,12,0,0,1,12,0,0,0,9,11,12,12,4,0,8\n0,2,15,13,11,8,1,0,0,7,16,14,13,12,3,0,0,8,16,4,0,0,0,0,0,4,16,16,14,3,0,0,0,0,3,4,13,14,0,0,0,0,0,0,1,15,7,0,0,0,7,3,2,13,10,0,0,2,15,16,16,16,9,0,5\n0,0,8,16,9,0,0,0,0,2,15,9,15,3,0,0,0,6,14,0,11,11,0,0,0,7,15,10,16,14,0,0,0,2,13,11,5,16,3,0,0,0,0,0,0,13,6,0,0,0,0,1,4,14,4,0,0,0,10,16,13,5,0,0,9\n0,0,1,11,16,16,4,0,0,0,8,10,8,16,3,0,0,0,0,0,3,14,0,0,0,0,0,0,8,8,0,0,0,0,7,11,16,16,8,0,0,11,13,12,11,0,0,0,0,0,0,8,9,0,0,0,0,0,0,14,2,0,0,0,7\n0,0,8,12,16,15,8,0,0,3,15,3,0,0,0,0,0,4,12,0,0,0,0,0,0,4,14,12,12,3,0,0,0,0,7,5,5,14,2,0,0,3,2,0,0,11,4,0,0,2,11,0,0,13,2,0,0,0,11,13,12,5,0,0,5\n0,0,9,15,2,0,0,0,0,3,16,10,1,0,0,0,0,7,14,0,0,0,0,0,0,9,11,3,8,8,1,0,0,10,11,13,14,15,8,0,0,7,16,14,0,7,12,0,0,3,16,10,4,13,10,0,0,0,10,16,16,13,1,0,6\n0,0,0,8,16,6,0,0,0,0,5,15,16,1,0,0,0,5,16,16,13,0,0,0,0,4,9,16,14,0,0,0,0,0,0,16,14,0,0,0,0,0,0,12,15,0,0,0,0,0,0,10,16,5,0,0,0,0,0,6,16,15,1,0,1\n0,0,12,16,16,15,2,0,0,0,5,8,10,16,7,0,0,0,0,0,8,15,1,0,0,0,10,13,15,15,8,0,0,0,12,16,15,12,5,0,0,0,1,14,6,0,0,0,0,0,6,16,2,0,0,0,0,0,12,11,0,0,0,0,7\n0,0,9,14,8,0,0,0,0,7,12,6,15,3,0,0,0,3,1,0,12,8,0,0,0,0,0,7,15,11,0,0,0,0,0,10,11,15,5,0,0,0,0,0,0,9,8,0,0,0,4,7,4,14,5,0,0,0,8,14,16,14,1,0,3\n0,0,11,12,12,14,4,0,0,0,16,8,4,4,5,0,0,2,16,8,4,0,0,0,0,5,16,15,15,9,0,0,0,1,4,1,4,16,3,0,0,0,0,0,0,14,7,0,0,3,7,6,9,16,2,0,0,2,11,12,13,7,0,0,5\n0,3,13,12,12,13,2,0,0,3,16,8,5,7,3,0,0,3,14,2,3,0,0,0,0,4,16,15,16,9,0,0,0,0,4,0,2,15,2,0,0,0,0,0,0,12,5,0,0,1,6,4,6,15,5,0,0,3,13,16,16,10,0,0,5\n0,0,5,14,11,3,0,0,0,2,16,14,16,14,0,0,0,4,13,4,2,13,4,0,0,8,9,0,0,8,8,0,0,8,10,0,0,7,8,0,0,4,13,0,0,9,8,0,0,0,14,9,4,14,6,0,0,0,4,16,16,8,0,0,0\n0,0,0,3,15,1,0,0,0,0,0,7,14,0,0,0,0,0,0,12,10,0,0,0,0,0,3,15,3,0,0,0,0,0,11,14,8,6,0,0,0,5,16,11,16,11,0,0,1,13,16,16,16,16,4,0,0,4,4,7,16,5,0,0,4\n0,2,12,12,13,12,1,0,0,8,14,8,4,6,0,0,0,8,14,8,7,1,0,0,0,8,15,12,14,12,0,0,0,0,0,0,1,14,4,0,0,0,0,0,0,12,8,0,0,2,8,4,6,15,7,0,0,0,11,16,15,7,0,0,5\n0,1,12,12,1,0,0,0,0,4,14,12,10,0,0,0,0,7,11,4,12,0,0,0,0,2,12,7,12,0,0,0,0,0,0,8,12,0,0,0,0,0,1,14,9,0,0,0,0,0,13,16,16,15,6,0,0,0,9,12,12,12,7,0,2\n0,0,0,5,15,1,0,0,0,0,0,11,13,0,0,0,0,0,0,14,10,0,0,0,0,0,7,15,4,0,0,0,0,1,13,9,13,6,0,0,1,12,16,14,16,14,3,0,1,11,12,14,16,12,1,0,0,0,0,8,15,0,0,0,4\n0,0,0,13,5,0,0,0,0,0,8,15,3,0,0,0,0,0,12,8,0,0,0,0,0,3,16,13,12,5,0,0,0,5,16,12,12,15,5,0,0,4,12,0,0,8,12,0,0,1,13,10,5,12,14,0,0,0,2,11,14,12,2,0,6\n0,0,0,0,11,9,1,0,0,0,0,0,14,15,0,0,0,1,7,11,16,12,0,0,0,6,15,12,16,13,0,0,0,0,0,0,16,12,0,0,0,0,0,0,13,15,1,0,0,0,0,0,12,16,2,0,0,0,0,0,9,16,4,0,1\n0,0,0,9,6,0,0,0,0,0,3,15,5,0,0,0,0,0,14,9,0,0,0,0,0,2,16,6,8,2,0,0,0,5,16,16,12,15,4,0,0,3,16,5,0,5,12,0,0,0,8,14,3,3,16,0,0,0,0,9,16,16,10,0,6\n0,0,1,13,4,0,0,0,0,0,10,11,0,0,0,0,0,1,16,3,0,0,0,0,0,3,16,16,10,3,0,0,0,6,16,11,10,14,1,0,0,4,16,1,0,7,11,0,0,1,13,7,0,9,12,0,0,0,1,13,16,15,5,0,6\n0,1,8,15,13,1,0,0,0,6,14,9,16,4,0,0,0,3,6,1,14,4,0,0,0,0,4,14,16,3,0,0,0,0,9,12,14,16,1,0,0,0,0,0,0,16,8,0,0,3,12,11,10,16,7,0,0,1,10,14,15,10,0,0,3\n0,0,4,13,16,7,0,0,0,1,15,13,16,15,1,0,0,5,13,0,7,14,4,0,0,6,9,0,0,8,7,0,0,5,11,0,0,8,8,0,0,4,13,0,0,8,8,0,0,0,14,12,6,16,4,0,0,0,3,16,15,5,0,0,0\n0,0,7,15,11,0,0,0,0,5,14,4,12,14,3,0,0,8,11,0,0,16,4,0,0,2,15,9,11,16,4,0,0,0,5,10,8,12,8,0,0,0,0,0,0,9,8,0,0,0,12,7,4,15,7,0,0,0,7,16,15,8,0,0,9\n0,0,7,15,16,16,9,0,0,2,15,6,15,15,11,0,0,1,13,0,7,15,3,0,0,1,14,12,15,3,0,0,0,0,10,16,16,4,0,0,0,2,13,2,10,12,0,0,0,1,16,5,8,16,0,0,0,0,8,16,16,7,0,0,8\n0,0,7,15,12,1,0,0,0,3,15,5,10,11,0,0,0,0,8,0,4,16,0,0,0,0,0,5,13,9,0,0,0,0,0,8,13,13,1,0,0,0,0,0,1,14,6,0,0,5,15,3,0,15,8,0,0,0,9,16,16,14,3,0,3\n0,0,0,15,4,0,0,0,0,0,8,14,0,0,0,0,0,0,14,7,0,0,0,0,0,1,16,9,8,2,0,0,0,2,16,16,15,15,2,0,0,3,16,7,0,6,12,0,0,0,11,12,4,7,15,0,0,0,1,9,16,16,6,0,6\n0,0,11,16,16,12,5,0,0,1,16,10,8,8,5,0,0,2,16,10,7,1,0,0,0,3,16,13,14,12,1,0,0,0,5,0,2,15,5,0,0,0,0,0,0,13,7,0,0,0,6,5,10,16,2,0,0,0,12,14,12,6,0,0,5\n0,0,10,16,15,13,10,0,0,0,4,4,6,16,6,0,0,0,0,0,8,13,0,0,0,0,9,16,16,16,6,0,0,0,5,13,14,13,5,0,0,0,1,14,3,0,0,0,0,0,6,16,0,0,0,0,0,0,9,10,0,0,0,0,7\n0,3,16,15,4,0,0,0,0,8,13,12,12,0,0,0,0,9,8,8,12,0,0,0,0,1,5,5,16,0,0,0,0,0,0,11,12,0,0,0,0,0,1,16,8,0,0,0,0,3,14,16,13,15,12,0,0,3,16,16,16,16,15,0,2\n0,0,4,13,7,4,4,0,0,0,12,12,13,16,6,0,0,0,11,0,6,13,0,0,0,0,4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0,0,0,0,0,0,9,15,3,0,0,0,6,0,0,10,9,0,0,2,16,7,4,13,10,0,0,0,5,11,14,11,1,0,3\n0,0,7,13,9,0,0,0,0,0,13,11,13,11,0,0,0,0,14,8,12,16,2,0,0,0,5,13,13,15,3,0,0,0,0,0,0,11,7,0,0,0,0,0,0,3,13,0,0,0,12,9,4,4,16,0,0,0,7,16,16,16,12,0,9\n0,0,14,14,11,2,0,0,0,1,16,16,16,15,0,0,0,4,16,9,7,14,6,0,0,8,15,0,0,8,8,0,0,8,11,0,0,8,8,0,0,8,12,0,0,12,5,0,0,4,16,10,14,13,0,0,0,0,9,16,15,3,0,0,0\n0,0,2,15,3,0,0,0,0,0,2,14,10,0,0,0,0,0,15,16,14,0,0,0,0,0,6,12,16,0,0,0,0,0,0,1,16,2,0,0,0,0,0,0,13,6,0,0,0,0,8,14,14,14,8,3,0,0,2,11,12,12,13,9,1\n0,1,12,10,2,0,0,0,0,5,14,13,12,0,0,0,0,4,8,3,16,0,0,0,0,0,1,0,15,0,0,0,0,0,0,5,12,0,0,0,0,0,4,15,6,0,0,0,0,4,16,16,15,10,3,0,0,2,11,7,8,11,9,0,2\n0,0,5,14,15,2,0,0,0,0,11,16,12,1,0,0,0,0,7,16,13,2,0,0,0,0,1,11,14,15,2,0,0,0,0,0,0,10,10,0,0,1,8,1,0,2,15,1,0,2,13,10,5,7,16,2,0,0,4,13,16,16,14,0,5\n0,0,10,15,8,2,0,0,0,0,5,13,16,15,1,0,0,0,0,0,4,16,4,0,0,0,1,4,7,16,3,0,0,0,9,16,16,16,1,0,0,0,1,12,15,12,4,0,0,0,3,16,5,0,0,0,0,0,14,14,0,0,0,0,7\n0,0,0,8,13,0,0,0,0,0,6,15,8,0,0,0,0,2,16,10,0,0,0,0,0,2,16,13,10,1,0,0,0,2,16,11,9,13,1,0,0,0,10,6,0,5,13,0,0,0,4,15,1,9,16,2,0,0,0,7,15,16,7,0,6\n0,0,11,8,0,0,0,0,0,0,12,15,1,0,0,0,0,0,13,16,5,0,0,0,0,0,12,16,6,0,0,0,0,0,2,15,7,0,0,0,0,0,0,10,14,1,0,0,0,0,16,16,16,16,11,3,0,0,11,16,16,16,16,11,1\n0,0,1,14,9,0,0,0,0,0,5,15,13,6,0,0,0,0,9,12,4,12,0,0,0,0,6,15,10,16,4,0,0,0,0,10,16,16,10,0,0,0,0,0,0,2,16,0,0,0,1,4,4,6,15,4,0,0,1,13,15,14,11,0,9\n0,0,6,15,16,7,0,0,0,10,16,9,14,11,0,0,0,5,3,1,14,10,0,0,0,0,0,9,16,5,0,0,0,0,0,8,16,16,4,0,0,0,1,0,1,12,8,0,0,3,13,5,4,13,11,0,0,0,8,16,16,12,2,0,3\n0,0,1,13,15,3,0,0,0,6,16,16,16,9,0,0,0,9,15,16,16,6,0,0,0,3,16,16,10,0,0,0,0,0,12,16,11,0,0,0,0,0,14,6,10,15,2,0,0,0,11,12,6,16,13,0,0,0,1,10,15,13,5,0,8\n0,0,3,9,8,0,0,0,0,2,15,14,14,4,0,0,0,9,16,5,13,16,1,0,0,5,16,16,16,16,7,0,0,0,6,8,8,16,6,0,0,0,0,0,0,15,9,0,0,0,7,4,9,16,8,0,0,0,9,16,13,9,1,0,9\n0,0,6,11,11,1,0,0,0,0,9,16,16,14,0,0,0,0,11,16,16,10,0,0,0,0,7,16,16,12,0,0,0,0,12,16,16,11,0,0,0,0,9,16,16,12,0,0,0,0,8,16,16,16,0,0,0,0,5,12,12,12,3,0,1\n0,0,0,1,12,2,0,0,0,0,1,16,16,2,0,0,0,0,10,15,3,0,0,0,0,0,14,11,0,0,0,0,0,1,16,16,15,7,0,0,0,0,14,16,11,15,5,0,0,0,6,16,6,16,9,0,0,0,0,5,12,12,3,0,6\n0,0,7,15,16,15,3,0,0,0,15,8,6,4,0,0,0,0,16,5,4,2,0,0,0,3,16,14,16,10,0,0,0,7,16,13,10,14,0,0,0,0,4,0,6,16,1,0,0,0,8,8,12,14,0,0,0,0,7,13,11,4,0,0,5\n0,0,0,11,13,0,0,0,0,2,12,16,16,7,0,0,0,12,16,8,3,14,2,0,0,6,16,10,0,14,6,0,0,0,15,9,0,11,5,0,0,0,11,13,0,9,9,0,0,0,8,16,13,16,5,0,0,0,0,13,16,10,1,0,0\n0,0,0,2,15,5,0,0,0,0,0,9,15,2,2,0,0,0,3,16,7,5,16,2,0,1,12,16,8,14,13,0,0,11,16,16,16,16,10,0,0,10,10,4,14,14,1,0,0,0,0,0,14,8,0,0,0,0,0,1,15,3,0,0,4\n0,0,0,4,13,1,0,0,0,0,3,16,13,0,0,0,0,0,8,15,4,0,0,0,0,0,12,14,0,0,0,0,0,0,15,11,6,6,0,0,0,0,13,16,16,16,10,0,0,0,8,16,5,11,16,2,0,0,0,6,12,15,10,0,6\n0,0,0,6,14,3,0,0,0,0,2,15,14,4,0,0,0,0,9,16,2,0,0,0,0,0,13,13,0,0,0,0,0,0,14,14,16,16,5,0,0,0,14,16,15,13,11,0,0,0,10,16,6,13,13,0,0,0,1,9,15,13,4,0,6\n0,0,3,14,10,0,0,0,0,2,14,15,13,3,0,0,0,2,16,8,4,10,0,0,0,0,15,14,13,16,4,0,0,0,2,10,14,15,10,0,0,0,3,0,0,11,9,0,0,0,10,8,4,15,8,0,0,0,2,12,13,14,4,0,9\n0,0,0,2,13,0,0,0,0,0,0,11,12,0,0,0,0,0,3,16,6,1,4,0,0,0,11,10,0,12,8,0,0,6,16,7,7,16,1,0,0,9,16,16,16,16,3,0,0,0,3,5,15,8,1,0,0,0,0,2,11,0,0,0,4\n0,0,8,12,13,16,8,0,0,0,9,9,9,16,5,0,0,0,0,0,7,15,0,0,0,0,6,11,15,11,1,0,0,0,9,14,15,15,6,0,0,0,0,16,8,0,0,0,0,0,3,16,3,0,0,0,0,0,8,14,0,0,0,0,7\n0,0,2,10,12,1,0,0,0,0,10,15,14,8,0,0,0,6,16,7,8,8,0,0,0,5,16,16,16,10,0,0,0,0,8,16,16,16,2,0,0,0,11,14,1,13,6,0,0,0,12,13,7,14,4,0,0,0,4,14,12,10,2,0,8\n0,0,0,10,15,2,0,0,0,0,0,13,16,11,0,0,0,0,0,15,16,9,0,0,0,0,6,16,16,7,0,0,0,1,15,16,16,3,0,0,0,1,14,16,16,2,0,0,0,0,0,14,16,8,0,0,0,0,0,6,14,9,0,0,1\n0,0,7,12,14,12,8,0,0,0,10,8,9,16,14,0,0,0,0,0,2,16,6,0,0,0,6,16,13,14,1,0,0,0,3,10,16,10,0,0,0,0,0,14,11,0,0,0,0,0,3,16,3,0,0,0,0,0,8,11,0,0,0,0,7\n0,1,11,14,14,4,0,0,0,3,14,8,10,16,0,0,0,0,0,0,5,16,1,0,0,0,0,3,16,14,0,0,0,0,0,4,12,16,7,0,0,0,0,0,0,9,12,0,0,0,9,8,8,14,13,0,0,0,7,12,12,10,3,0,3\n0,0,9,15,12,10,7,0,0,0,5,8,12,16,12,0,0,0,0,0,4,16,6,0,0,0,1,5,14,10,0,0,0,0,13,16,16,12,0,0,0,1,8,16,10,2,0,0,0,0,9,16,3,0,0,0,0,0,9,13,0,0,0,0,7\n0,0,1,10,9,0,0,0,0,1,10,13,8,7,0,0,0,5,16,2,0,9,0,0,0,0,16,12,14,16,1,0,0,0,11,16,13,13,3,0,0,0,2,15,5,6,3,0,0,0,4,15,4,13,2,0,0,0,1,11,12,4,0,0,8\n0,0,0,1,10,0,0,0,0,0,0,11,8,2,1,0,0,0,3,13,0,8,8,0,0,0,10,8,2,15,3,0,0,6,16,15,16,16,5,0,0,12,15,12,15,14,3,0,0,0,0,0,15,1,0,0,0,0,0,0,12,0,0,0,4\n0,0,0,4,14,4,0,0,0,0,3,16,14,4,0,0,0,0,8,16,5,0,0,0,0,0,15,12,11,8,1,0,0,0,16,16,16,16,8,0,0,2,16,16,4,3,14,0,0,0,10,16,5,10,16,1,0,0,0,7,13,14,10,0,6\n0,0,13,16,16,11,0,0,0,0,10,7,4,16,0,0,0,0,0,0,10,12,0,0,0,0,0,3,13,14,2,0,0,0,0,10,13,14,6,0,0,0,0,0,0,6,11,0,0,1,14,6,4,13,7,0,0,0,9,13,16,12,0,0,3\n0,0,10,15,16,15,1,0,0,7,16,10,4,3,1,0,0,8,13,8,0,0,0,0,0,7,16,16,7,0,0,0,0,1,8,10,8,0,0,0,0,0,0,5,15,0,0,0,0,0,1,8,14,0,0,0,0,0,6,16,10,0,0,0,5\n0,0,3,14,9,1,0,0,0,0,10,15,13,8,0,0,0,0,13,10,4,14,0,0,0,0,12,16,16,16,4,0,0,0,0,6,8,12,10,0,0,0,0,0,0,4,13,0,0,0,3,8,8,13,13,0,0,0,2,10,12,1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0,0,0,15,2,0,0,0,0,0,10,12,0,0,0,0,0,5,15,1,0,6,6,0,0,12,9,0,3,16,11,0,0,6,16,12,14,13,1,0,0,0,3,11,16,2,0,0,0,0,0,10,12,0,0,0,0,0,0,15,7,0,0,0,4\n0,0,5,16,16,10,0,0,0,0,14,12,10,13,0,0,0,0,11,12,15,10,0,0,0,0,3,16,14,1,0,0,0,0,7,16,15,0,0,0,0,0,16,9,14,6,0,0,0,1,16,4,10,12,0,0,0,0,5,16,16,8,0,0,8\n0,5,15,15,3,0,0,0,0,12,14,13,12,0,0,0,0,7,9,3,16,2,0,0,0,0,0,0,16,4,0,0,0,0,0,5,16,0,0,0,0,0,0,9,12,0,0,0,0,1,8,16,12,4,1,0,0,8,16,16,16,16,13,0,2\n0,0,7,10,10,2,0,0,0,0,12,16,16,4,0,0,0,0,5,16,16,4,0,0,0,0,4,16,16,5,0,0,0,0,1,15,16,7,0,0,0,0,4,16,16,12,0,0,0,0,9,16,16,12,0,0,0,0,6,12,12,11,0,0,1\n0,7,16,13,2,0,0,0,0,8,14,12,14,0,0,0,0,1,2,4,16,0,0,0,0,0,0,0,16,4,0,0,0,0,0,5,16,2,0,0,0,0,0,11,15,0,0,0,0,1,11,16,16,13,11,0,0,4,16,16,12,12,9,0,2\n0,0,8,15,16,8,0,0,0,5,16,12,11,16,0,0,0,3,8,1,12,13,0,0,0,0,0,11,16,13,1,0,0,0,0,5,8,15,9,0,0,0,2,1,0,9,11,0,0,0,14,12,5,15,7,0,0,0,9,16,16,13,1,0,3\n0,0,8,16,12,2,0,0,0,0,13,4,6,12,0,0,0,3,15,1,3,13,0,0,0,6,14,10,4,16,1,0,0,0,8,12,11,13,4,0,0,0,0,0,0,6,8,0,0,0,6,4,0,6,7,0,0,0,6,14,14,15,1,0,9\n0,0,5,16,16,6,0,0,0,1,15,13,10,15,1,0,0,5,16,9,0,12,7,0,0,8,11,0,0,7,12,0,0,12,9,0,0,4,12,0,0,9,13,0,0,6,13,0,0,1,15,10,4,11,11,0,0,0,6,16,16,13,1,0,0\n0,0,3,11,9,3,0,0,0,0,8,16,16,15,1,0,0,0,1,16,16,16,0,0,0,0,2,16,16,15,2,0,0,0,4,16,16,16,3,0,0,0,6,16,16,16,0,0,0,0,9,16,16,14,0,0,0,0,7,12,11,5,0,0,1\n0,3,16,16,7,0,0,0,0,4,16,11,16,5,0,0,0,0,3,1,12,12,0,0,0,0,0,0,10,12,0,0,0,0,0,0,10,11,0,0,0,0,0,3,15,8,0,0,0,0,4,14,16,11,6,0,0,1,16,16,16,14,16,5,2\n0,1,12,12,13,13,4,0,0,3,14,6,4,2,1,0,0,5,11,6,2,0,0,0,0,6,16,12,15,4,0,0,0,1,1,0,5,14,0,0,0,0,0,0,2,16,0,0,0,0,4,3,7,14,0,0,0,2,14,16,14,3,0,0,5\n0,2,11,16,15,4,0,0,0,11,15,8,15,10,0,0,0,3,3,8,16,7,0,0,0,0,4,16,16,9,0,0,0,0,0,4,7,16,4,0,0,0,0,0,0,13,11,0,0,2,15,6,1,14,10,0,0,2,16,16,16,13,3,0,3\n0,0,9,16,10,1,0,0,0,9,16,9,16,6,0,0,0,16,9,3,16,5,0,0,0,3,6,12,16,10,0,0,0,0,1,10,9,15,8,0,0,0,0,0,0,9,15,0,0,0,3,9,2,13,12,0,0,0,7,16,16,15,4,0,3\n0,0,2,10,13,3,0,0,0,1,13,7,7,13,0,0,0,7,7,0,2,16,1,0,0,2,11,2,0,13,4,0,0,0,6,15,13,16,8,0,0,0,0,0,0,8,8,0,0,0,0,10,4,9,7,0,0,0,0,11,16,14,2,0,9\n0,0,0,1,14,7,0,0,0,0,0,5,16,1,0,0,0,0,2,14,7,0,0,0,0,0,10,15,1,6,12,0,0,3,15,3,1,14,6,0,1,15,10,4,10,15,0,0,10,16,16,16,16,12,0,0,0,2,2,0,16,2,0,0,4\n0,0,1,12,7,0,0,0,0,0,10,13,0,0,0,0,0,2,15,3,0,0,0,0,0,4,15,0,3,0,0,0,0,4,14,15,16,15,2,0,0,0,16,11,2,6,12,0,0,0,13,10,1,5,13,0,0,0,2,10,16,16,6,0,6\n0,0,0,9,15,10,0,0,0,0,6,10,4,14,4,0,0,0,12,2,0,12,5,0,0,5,15,3,6,13,2,0,0,0,5,16,14,1,0,0,0,0,2,14,12,5,0,0,0,0,0,13,1,13,3,0,0,0,0,9,13,13,2,0,8\n0,1,12,16,15,3,0,0,0,11,13,5,13,8,0,0,0,3,1,8,16,5,0,0,0,0,3,16,16,13,1,0,0,0,0,0,1,14,6,0,0,0,1,0,0,9,11,0,0,2,15,1,0,13,9,0,0,0,13,16,15,15,2,0,3\n0,0,8,12,13,14,4,0,0,0,15,8,2,4,1,0,0,1,16,5,2,0,0,0,0,4,12,13,14,8,0,0,0,0,0,0,1,12,4,0,0,0,0,0,0,8,5,0,0,0,6,3,2,14,2,0,0,0,9,16,14,5,0,0,5\n0,0,6,12,0,0,0,0,0,0,12,9,0,0,0,0,0,0,15,3,0,0,0,0,0,1,16,1,0,0,0,0,0,3,16,15,10,4,2,0,0,2,16,9,0,6,12,0,0,0,13,10,0,6,15,0,0,0,6,16,16,15,7,0,6\n0,0,0,1,12,10,0,0,0,0,0,1,16,7,0,0,0,0,0,12,12,0,4,0,0,0,5,15,3,7,13,0,0,2,15,5,1,15,6,0,0,12,14,8,11,16,5,0,1,15,16,15,15,14,2,0,0,0,0,0,12,10,0,0,4\n0,0,0,11,6,0,0,0,0,0,5,16,3,0,0,0,0,0,10,14,0,0,0,0,0,0,14,8,0,0,0,0,0,0,16,15,16,14,5,0,0,0,15,9,0,4,14,0,0,0,9,15,0,3,16,2,0,0,0,9,14,12,7,0,6\n0,0,12,15,16,8,0,0,0,0,11,13,0,2,0,0,0,0,11,6,1,0,0,0,0,2,16,16,15,8,0,0,0,0,3,0,0,11,2,0,0,0,0,0,0,8,8,0,0,4,5,0,1,12,2,0,0,1,11,15,16,8,0,0,5\n0,0,0,10,2,0,0,0,0,0,2,16,5,0,0,0,0,0,6,11,0,0,0,0,0,0,12,13,7,1,0,0,0,1,16,14,12,14,2,0,0,2,16,10,0,6,13,0,0,0,10,14,2,1,16,2,0,0,1,10,16,15,14,2,6\n0,0,6,12,9,4,0,0,0,0,2,14,16,14,0,0,0,0,0,12,16,16,0,0,0,0,0,15,16,13,0,0,0,0,0,16,16,12,0,0,0,0,5,16,16,5,0,0,0,0,7,16,16,5,0,0,0,0,9,12,11,2,0,0,1\n0,0,3,13,0,0,0,0,0,0,11,9,0,0,0,0,0,0,14,6,0,0,0,0,0,0,16,1,0,0,0,0,0,2,16,15,16,8,0,0,0,1,16,13,5,11,10,0,0,0,13,11,0,2,16,3,0,0,2,15,16,16,13,1,6\n0,0,13,16,15,13,4,0,0,0,11,14,4,2,1,0,0,0,6,12,15,7,0,0,0,0,0,0,1,11,2,0,0,0,0,0,0,5,7,0,0,1,3,0,0,5,8,0,0,7,9,2,4,13,4,0,0,1,10,14,14,7,0,0,5\n0,0,9,12,12,12,7,0,0,0,10,12,4,4,2,0,0,0,14,9,5,0,0,0,0,3,16,15,14,12,0,0,0,3,9,0,0,15,5,0,0,0,0,0,0,10,7,0,0,0,7,6,1,15,2,0,0,0,8,16,16,10,0,0,5\n0,0,3,10,15,13,2,0,0,3,14,12,9,12,7,0,0,4,14,4,2,14,2,0,0,0,5,15,14,8,0,0,0,0,3,15,12,13,1,0,0,0,10,8,0,12,7,0,0,0,11,7,0,9,8,0,0,0,3,11,15,14,2,0,8\n0,0,9,16,16,12,14,0,0,0,4,8,11,14,13,0,0,0,0,0,3,15,2,0,0,0,0,6,13,15,8,0,0,0,6,16,15,8,2,0,0,0,1,14,9,0,0,0,0,0,4,16,1,0,0,0,0,0,12,9,0,0,0,0,7\n0,0,13,15,16,16,3,0,0,1,14,4,4,0,0,0,0,2,14,11,7,1,0,0,0,2,15,9,13,11,0,0,0,0,0,0,0,15,2,0,0,0,0,0,0,14,3,0,0,3,13,4,6,14,0,0,0,0,13,16,12,3,0,0,5\n0,0,12,16,12,1,0,0,0,8,15,10,15,6,0,0,0,3,6,1,15,3,0,0,0,0,0,10,16,9,1,0,0,0,2,14,12,16,6,0,0,0,4,0,0,10,9,0,0,0,16,8,6,15,7,0,0,0,10,16,16,13,1,0,3\n0,0,0,0,12,7,0,0,0,0,0,2,16,4,0,0,0,0,0,12,13,9,3,0,0,0,8,15,4,16,1,0,0,1,15,8,4,16,0,0,0,14,14,8,11,15,1,0,0,9,16,16,16,16,4,0,0,0,0,0,13,6,0,0,4\n0,0,10,16,15,14,8,0,0,0,7,9,8,14,13,0,0,0,0,0,3,15,2,0,0,0,0,6,13,13,6,0,0,0,1,16,15,12,4,0,0,0,0,12,6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1,0,0,0,0,0,7,15,3,0,0,0,2,7,14,14,3,0,0,0,12,16,14,12,6,0,0,0,1,15,5,0,0,0,0,0,9,16,0,0,0,0,0,0,16,9,0,0,0,0,7\n0,6,16,12,2,0,0,0,0,1,13,16,12,0,0,0,0,0,0,12,12,0,0,0,0,0,1,15,9,0,0,0,0,0,4,16,1,0,0,0,0,0,14,11,0,0,0,0,0,5,16,15,16,15,4,0,0,4,15,13,12,11,8,0,2\n0,0,0,5,16,4,0,0,0,0,1,13,13,1,0,0,0,0,7,16,5,2,3,0,0,3,16,15,10,15,13,0,0,10,16,16,16,16,8,0,0,1,4,5,16,15,3,0,0,0,0,4,16,11,0,0,0,0,0,7,16,3,0,0,4\n0,0,6,9,13,7,0,0,0,7,16,12,13,14,0,0,0,5,3,1,15,7,0,0,0,0,0,5,16,1,0,0,0,0,0,4,16,6,0,0,0,0,0,0,10,16,10,0,0,0,0,1,7,16,10,0,0,0,4,15,13,8,0,0,3\n0,5,14,15,9,1,0,0,0,7,14,12,16,15,1,0,0,0,1,0,9,16,4,0,0,0,0,0,7,16,4,0,0,0,0,0,12,14,0,0,0,0,1,11,16,4,0,0,0,3,14,16,13,8,2,0,0,4,12,16,12,10,4,0,2\n0,0,3,10,12,0,0,0,0,0,9,16,16,11,0,0,0,0,14,12,2,15,3,0,0,1,16,9,0,9,7,0,0,4,15,1,0,8,8,0,0,3,16,0,0,7,11,0,0,2,15,10,9,15,6,0,0,0,3,15,15,7,0,0,0\n0,0,1,14,10,0,0,0,0,0,10,13,1,0,0,0,0,2,15,4,0,0,0,0,0,5,16,2,0,0,0,0,0,8,15,2,0,0,0,0,0,4,16,16,16,14,2,0,0,0,12,16,14,16,10,0,0,0,2,11,14,13,7,0,6\n0,0,1,10,2,3,0,0,0,0,8,16,15,16,0,0,0,0,12,16,16,4,0,0,0,0,12,16,7,0,0,0,0,3,16,13,13,1,0,0,0,1,16,4,12,10,0,0,0,0,11,12,11,16,2,0,0,0,2,12,14,9,1,0,8\n0,0,9,15,4,0,0,0,0,8,16,11,7,0,0,0,0,11,11,0,2,10,0,0,0,6,16,6,13,14,1,0,0,0,7,16,16,4,0,0,0,0,5,16,16,9,0,0,0,0,10,16,16,14,0,0,0,0,6,16,9,4,0,0,8\n0,0,7,15,10,8,1,0,0,4,16,7,11,16,8,0,0,8,16,2,7,16,5,0,0,0,14,16,16,9,0,0,0,0,6,16,16,3,0,0,0,0,9,14,15,14,2,0,0,0,15,12,11,16,4,0,0,0,7,15,14,7,0,0,8\n0,0,1,11,10,0,0,0,0,0,11,16,13,3,0,0,0,2,16,14,14,16,10,0,0,2,13,16,16,16,8,0,0,0,0,2,0,16,7,0,0,0,0,0,2,16,3,0,0,0,0,4,15,12,0,0,0,0,0,13,8,0,0,0,9\n0,0,11,8,0,0,0,0,0,0,11,12,0,0,0,0,0,0,14,8,0,0,0,0,0,4,16,10,5,1,0,0,0,3,16,16,16,13,2,0,0,0,16,10,10,16,8,0,0,0,16,11,12,16,6,0,0,0,8,16,16,9,0,0,6\n0,1,8,14,13,2,0,0,0,8,15,12,16,10,0,0,0,3,3,3,16,4,0,0,0,0,0,4,14,0,0,0,0,0,0,3,16,5,0,0,0,0,0,0,8,16,5,0,0,0,2,7,9,16,6,0,0,0,7,15,11,5,0,0,3\n0,1,3,15,14,4,0,0,0,6,13,16,14,14,0,0,0,10,6,9,2,14,3,0,0,8,4,0,0,7,8,0,0,7,6,0,0,8,8,0,0,1,13,1,0,13,5,0,0,0,10,11,9,15,1,0,0,0,2,12,16,6,0,0,0\n0,0,0,7,15,0,0,0,0,0,0,14,13,0,0,0,0,0,5,16,3,0,0,0,0,1,13,13,0,6,11,0,0,8,16,9,2,15,10,0,1,14,16,16,16,16,6,0,0,4,8,9,16,14,0,0,0,0,0,7,16,10,0,0,4\n0,0,4,15,10,7,0,0,0,0,8,16,16,16,1,0,0,0,8,16,16,16,0,0,0,0,3,16,16,10,1,0,0,0,10,16,16,4,0,0,0,3,16,14,15,11,0,0,0,3,15,11,13,15,0,0,0,0,5,13,16,8,0,0,8\n0,0,4,12,12,1,0,0,0,1,15,16,16,8,0,0,0,6,16,16,16,16,1,0,0,1,4,5,7,16,4,0,0,0,0,0,1,16,8,0,0,0,0,0,2,16,7,0,0,0,10,8,13,14,1,0,0,0,7,16,9,1,0,0,9\n0,0,5,12,15,10,1,0,0,6,16,16,16,15,2,0,0,4,14,16,16,5,0,0,0,0,5,16,8,0,0,0,0,0,3,16,16,10,1,0,0,0,0,3,16,16,7,0,0,0,4,14,16,12,0,0,0,0,4,14,8,0,0,0,3\n0,0,10,10,7,0,0,0,0,0,13,16,16,12,1,0,0,3,16,14,6,15,7,0,0,6,12,2,0,8,8,0,0,4,8,0,1,14,7,0,0,4,10,0,8,15,1,0,0,2,16,14,15,4,0,0,0,0,10,16,9,0,0,0,0\n0,0,6,9,0,0,0,0,0,0,5,16,12,0,0,0,0,4,5,3,13,11,0,0,0,6,11,0,1,14,5,0,0,3,13,0,0,8,9,0,0,0,15,1,5,12,12,0,0,0,15,14,16,14,4,0,0,0,5,16,10,2,0,0,0\n0,0,3,14,12,0,0,0,0,1,16,16,16,7,0,0,0,6,16,12,16,16,2,0,0,3,16,16,12,16,4,0,0,0,0,0,0,16,6,0,0,0,0,0,2,16,7,0,0,0,1,11,15,15,2,0,0,0,4,13,9,3,0,0,9\n0,0,0,3,13,8,0,0,0,0,0,12,16,10,0,0,0,0,0,15,16,11,0,0,0,1,15,16,16,12,0,0,0,7,16,16,16,12,0,0,0,4,13,14,16,13,0,0,0,0,0,8,16,16,2,0,0,0,0,6,14,11,3,0,1\n0,0,0,9,8,0,0,0,0,0,2,15,16,8,0,0,0,0,9,16,16,8,0,0,0,0,13,16,16,12,0,0,0,1,13,16,16,12,0,0,0,0,1,16,16,15,0,0,0,0,0,16,16,16,3,0,0,0,0,9,12,12,7,0,1\n0,0,6,11,16,8,0,0,0,1,15,15,11,2,0,0,0,8,16,7,0,0,0,0,0,6,16,5,0,0,0,0,0,0,10,16,13,4,0,0,0,0,0,1,14,16,0,0,0,0,2,8,15,10,0,0,0,0,10,14,7,0,0,0,5\n0,0,3,13,16,16,2,0,0,0,10,14,13,16,7,0,0,0,0,0,6,16,4,0,0,0,2,11,15,16,12,0,0,0,9,14,16,9,1,0,0,0,0,9,15,0,0,0,0,0,2,15,6,0,0,0,0,0,7,10,0,0,0,0,7\n0,0,5,15,2,0,0,0,0,0,16,15,0,0,0,0,0,5,16,6,0,0,0,0,0,8,16,11,11,4,0,0,0,8,16,16,16,16,2,0,0,6,16,8,6,16,5,0,0,2,16,14,16,16,2,0,0,0,9,16,14,7,0,0,6\n0,0,0,11,15,6,0,0,0,0,11,16,16,11,0,0,0,2,16,16,16,12,0,0,0,0,12,16,16,9,0,0,0,0,5,16,16,15,1,0,0,0,7,16,3,15,2,0,0,0,1,16,6,16,0,0,0,0,1,11,15,7,0,0,8\n0,0,4,14,16,8,0,0,0,3,16,16,16,16,0,0,0,3,9,4,16,16,4,0,0,0,2,16,16,16,14,0,0,0,2,13,16,12,2,0,0,0,0,7,16,4,0,0,0,0,0,13,13,0,0,0,0,0,5,13,3,0,0,0,7\n0,0,0,0,13,4,0,0,0,0,0,9,12,1,0,0,0,0,4,14,4,0,0,0,0,1,14,12,4,4,1,0,0,7,16,16,16,16,7,0,0,4,7,2,9,16,3,0,0,0,0,0,12,12,0,0,0,0,0,0,14,5,0,0,4\n0,0,9,15,8,2,0,0,0,3,15,15,16,9,0,0,0,0,11,16,16,12,0,0,0,0,0,0,2,14,2,0,0,0,0,0,0,15,8,0,0,0,0,0,0,9,12,0,0,0,14,5,7,13,14,0,0,0,10,16,15,12,1,0,9\n0,0,11,3,8,7,0,0,0,1,15,11,16,16,7,0,0,0,16,4,5,13,10,0,0,3,13,0,0,8,9,0,0,5,13,0,0,8,8,0,0,6,13,0,7,16,2,0,0,2,16,12,16,10,0,0,0,0,9,13,8,0,0,0,0\n0,0,0,1,11,7,0,0,0,0,0,13,16,15,2,0,0,0,4,16,16,16,4,0,0,2,16,16,16,16,0,0,0,1,8,9,16,16,1,0,0,0,0,10,16,16,1,0,0,0,0,9,16,16,0,0,0,0,0,2,11,7,0,0,1\n0,0,0,1,13,9,0,0,0,0,0,8,16,2,0,0,0,0,7,16,4,0,0,0,0,4,16,7,3,11,4,0,0,12,16,13,16,16,5,0,0,11,12,12,16,15,0,0,0,0,0,0,15,13,0,0,0,0,0,1,16,5,0,0,4\n0,0,0,1,13,7,0,0,0,0,0,12,14,0,0,0,0,0,8,15,3,0,2,0,0,6,16,7,4,10,13,0,0,13,16,16,16,16,10,0,0,1,8,8,9,15,2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2,15,10,0,0,0,0,0,6,16,5,3,0,0,0,0,8,16,16,16,14,0,0,0,3,16,9,1,16,10,0,0,0,11,16,12,16,6,0,0,0,0,10,14,11,1,0,6\n0,0,3,12,16,10,0,0,0,0,16,10,5,16,1,0,0,4,16,11,10,14,0,0,0,0,14,16,16,13,1,0,0,0,2,8,8,16,7,0,0,0,0,0,1,16,3,0,0,0,0,10,16,7,0,0,0,0,2,10,3,0,0,0,9\n0,0,1,14,6,2,6,0,0,0,10,13,1,10,10,0,0,4,16,3,3,16,5,0,0,10,16,12,14,16,9,0,0,3,16,16,16,10,2,0,0,0,0,5,15,1,0,0,0,0,0,11,10,0,0,0,0,0,0,13,8,0,0,0,4\n0,0,0,14,4,1,1,0,0,0,4,16,1,12,7,0,0,1,15,8,5,16,3,0,0,9,14,0,10,11,0,0,0,11,16,14,16,14,4,0,0,6,8,14,16,14,5,0,0,0,0,11,9,0,0,0,0,0,0,13,4,0,0,0,4\n0,0,0,0,8,16,2,0,0,0,0,6,16,16,3,0,0,0,1,15,16,16,0,0,0,0,13,16,16,12,0,0,0,4,16,7,16,12,0,0,0,5,4,3,16,9,0,0,0,0,0,2,16,8,0,0,0,0,0,0,12,14,0,0,1\n0,0,0,4,14,5,9,0,0,0,4,16,6,11,13,0,0,2,14,9,2,16,4,0,0,7,16,16,16,15,0,0,0,3,16,16,16,13,2,0,0,0,2,9,16,1,0,0,0,0,0,6,16,2,0,0,0,0,0,6,16,5,0,0,4\n0,0,9,12,13,15,16,3,0,1,14,13,12,16,14,1,0,0,0,0,6,15,3,0,0,0,5,13,16,16,10,0,0,1,16,16,15,12,3,0,0,0,5,16,7,0,0,0,0,0,7,16,0,0,0,0,0,0,11,14,0,0,0,0,7\n0,0,6,13,16,14,1,0,0,5,15,4,1,12,4,0,0,1,16,10,15,10,2,0,0,0,10,13,3,0,0,0,0,0,9,15,1,0,0,0,0,0,13,11,10,0,0,0,0,0,15,3,13,6,0,0,0,0,5,12,14,9,0,0,8\n0,0,7,12,15,13,3,0,0,2,16,6,2,11,7,0,0,7,14,9,13,11,1,0,0,2,16,12,6,7,2,0,0,2,16,15,8,2,0,0,0,2,16,14,2,0,0,0,0,0,14,16,8,0,0,0,0,0,4,12,11,0,0,0,8\n0,0,0,0,10,12,1,0,0,0,0,1,15,16,3,0,0,0,2,10,16,11,0,0,0,1,11,16,16,12,0,0,0,5,8,3,16,9,0,0,0,0,0,1,16,10,0,0,0,0,0,0,15,11,0,0,0,0,0,0,7,13,1,0,1\n0,0,0,8,11,3,7,0,0,0,6,15,4,10,9,0,0,3,15,6,1,16,5,0,0,7,16,12,14,16,14,0,0,5,16,16,16,14,7,0,0,0,4,7,16,5,0,0,0,0,0,9,15,0,0,0,0,0,0,7,16,0,0,0,4\n0,0,0,0,2,15,3,0,0,0,0,0,12,16,4,0,0,0,0,6,16,16,0,0,0,0,7,16,16,14,0,0,0,6,16,11,16,12,0,0,0,1,3,0,15,13,0,0,0,0,0,0,10,16,0,0,0,0,0,0,2,14,5,0,1\n0,0,0,7,12,2,0,0,0,1,10,16,15,6,0,0,0,0,15,13,1,0,0,0,0,2,16,8,0,0,0,0,0,2,16,11,12,9,0,0,0,2,16,14,10,14,10,0,0,0,11,15,8,11,16,1,0,0,1,9,16,16,13,1,6\n0,0,4,14,15,6,0,0,0,2,16,12,15,14,0,0,0,7,9,0,0,12,4,0,0,8,6,0,0,6,7,0,0,5,8,0,0,4,8,0,0,2,14,1,0,7,7,0,0,0,12,16,16,16,2,0,0,0,2,11,15,8,0,0,0\n0,0,0,9,16,7,0,0,0,0,7,16,8,0,0,0,0,0,14,10,0,0,0,0,0,1,16,4,0,0,0,0,0,2,16,8,8,2,0,0,0,1,14,14,9,15,7,0,0,0,9,14,4,8,14,0,0,0,0,9,15,15,7,0,6\n0,0,0,0,3,13,3,0,0,0,0,0,11,16,4,0,0,0,0,11,16,16,2,0,0,0,9,16,16,16,0,0,0,3,16,5,13,16,0,0,0,3,2,0,12,15,1,0,0,0,0,0,8,16,0,0,0,0,0,0,2,14,3,0,1\n0,0,5,15,13,2,0,0,0,3,16,16,16,16,0,0,0,8,7,1,3,14,7,0,0,3,1,0,0,5,8,0,0,5,10,0,0,5,8,0,0,3,16,12,8,14,8,0,0,0,13,16,16,16,5,0,0,0,3,14,16,10,0,0,0\n0,0,3,13,0,0,0,0,0,0,11,14,0,0,0,0,0,2,16,3,0,0,0,0,0,7,14,0,0,0,0,0,0,8,13,8,12,7,1,0,0,6,16,10,10,16,6,0,0,0,13,14,12,15,8,0,0,0,3,13,16,12,3,0,6\n0,0,3,15,16,16,9,0,0,0,1,9,14,16,5,0,0,0,0,1,11,15,0,0,0,0,5,16,16,16,14,0,0,0,1,12,14,5,2,0,0,0,1,15,8,0,0,0,0,0,5,16,2,0,0,0,0,0,7,15,2,0,0,0,7\n0,0,0,0,9,10,0,0,0,0,0,5,16,15,0,0,0,0,3,14,16,12,0,0,0,3,15,16,16,10,0,0,0,4,4,8,16,8,0,0,0,0,0,3,16,9,0,0,0,0,0,3,15,10,0,0,0,0,0,0,7,14,2,0,1\n0,0,4,15,8,0,0,0,0,1,14,12,16,1,0,0,0,2,10,1,16,0,0,0,0,0,3,11,8,0,0,0,0,0,0,10,15,6,0,0,0,0,0,2,12,15,2,0,0,0,1,10,8,15,3,0,0,0,2,15,16,11,0,0,3\n0,0,0,4,13,15,0,0,0,0,6,16,9,1,0,0,0,0,15,9,0,0,0,0,0,3,15,0,0,0,0,0,0,8,12,0,0,0,0,0,0,4,15,12,12,7,1,0,0,0,9,15,9,13,11,0,0,0,0,6,12,16,10,0,6\n0,0,0,12,15,4,0,0,0,0,7,9,8,15,0,0,0,2,12,0,0,9,4,0,0,5,11,0,0,4,8,0,0,8,4,0,0,8,6,0,0,2,12,0,1,14,5,0,0,0,13,15,16,12,1,0,0,0,2,10,12,1,0,0,0\n0,0,0,9,14,13,4,0,0,0,6,14,6,10,12,0,0,0,9,12,6,15,7,0,0,1,11,16,15,5,0,0,0,7,16,16,10,0,0,0,0,7,16,9,16,9,0,0,0,1,11,8,7,16,0,0,0,0,2,11,12,13,0,0,8\n0,0,8,15,16,16,12,0,0,0,4,12,13,16,8,0,0,0,0,0,10,14,0,0,0,1,9,12,16,13,4,0,0,5,16,16,16,14,5,0,0,0,2,16,5,0,0,0,0,0,10,14,0,0,0,0,0,0,11,11,0,0,0,0,7\n0,0,2,11,16,9,0,0,0,0,9,14,15,14,0,0,0,0,0,0,13,10,0,0,0,0,4,9,16,12,5,0,0,9,16,16,16,16,11,0,0,3,8,12,11,0,0,0,0,0,0,16,5,0,0,0,0,0,2,16,2,0,0,0,7\n0,0,1,10,16,16,7,0,0,0,13,14,10,7,3,0,0,6,16,2,0,0,0,0,0,10,16,16,16,8,1,0,0,1,6,11,13,16,9,0,0,0,0,0,4,16,8,0,0,0,0,1,9,16,5,0,0,0,2,15,16,8,0,0,5\n0,0,0,6,15,16,6,0,0,0,3,16,5,9,12,0,0,0,4,15,7,13,4,0,0,0,14,16,16,10,0,0,0,5,16,13,11,0,0,0,0,5,15,1,16,3,0,0,0,0,10,13,15,6,0,0,0,0,0,5,13,5,0,0,8\n0,0,1,11,15,2,0,0,0,6,6,16,16,9,0,0,0,8,14,13,3,13,4,0,0,7,16,1,0,6,6,0,0,3,12,0,0,6,9,0,0,0,14,5,2,13,12,0,0,0,3,16,16,16,8,0,0,0,0,9,16,13,2,0,0\n0,0,4,12,13,11,0,0,0,3,15,3,7,16,1,0,0,4,12,9,15,4,0,0,0,0,11,15,1,0,0,0,0,1,13,16,12,0,0,0,0,3,14,1,14,3,0,0,0,0,12,3,4,12,0,0,0,0,3,12,12,13,0,0,8\n0,0,10,15,2,0,0,0,0,5,16,16,8,0,0,0,0,9,13,8,12,0,0,0,0,12,7,4,14,0,0,0,0,3,1,7,12,0,0,0,0,0,0,15,13,1,0,0,0,0,9,16,16,16,6,0,0,0,10,16,16,16,10,0,2\n0,0,2,11,16,16,11,0,0,0,13,11,4,13,13,0,0,0,12,14,15,14,2,0,0,0,12,16,15,5,0,0,0,0,8,16,11,0,0,0,0,2,16,9,16,4,0,0,0,4,16,6,14,10,0,0,0,0,3,12,15,6,0,0,8\n0,0,0,8,13,1,0,0,0,0,6,16,11,1,0,0,0,0,12,12,0,0,0,0,0,2,16,6,0,0,0,0,0,0,15,10,9,6,2,0,0,2,15,12,10,16,11,0,0,0,8,15,10,14,14,0,0,0,0,9,13,12,7,0,6\n0,2,15,14,3,0,0,0,0,7,15,14,13,0,0,0,0,9,11,2,16,4,0,0,0,7,4,0,14,6,0,0,0,0,0,0,14,7,0,0,0,0,0,3,16,3,0,0,0,0,4,15,16,8,4,0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0,0,11,16,16,16,15,7,0,0,3,5,14,9,2,0,0,0,0,6,16,0,0,0,0,0,0,10,10,0,0,0,0,0,3,16,1,0,0,0,0,7\n0,0,3,14,16,12,1,0,0,3,16,14,3,11,4,0,0,2,13,1,3,15,4,0,0,0,10,16,16,8,0,0,0,2,15,10,14,4,0,0,0,5,14,0,3,14,1,0,0,0,14,4,1,14,2,0,0,0,2,13,16,10,0,0,8\n0,0,0,9,14,0,0,0,0,0,5,16,4,4,9,0,0,4,16,3,0,13,9,0,0,6,16,15,12,16,13,0,0,0,8,11,15,14,3,0,0,0,0,0,16,5,0,0,0,0,0,6,13,0,0,0,0,0,0,9,10,0,0,0,4\n0,0,0,0,8,13,1,0,0,0,1,9,15,14,1,0,0,6,14,16,16,10,0,0,0,5,11,4,16,9,0,0,0,0,0,3,16,5,0,0,0,0,0,3,16,7,0,0,0,0,0,0,16,10,0,0,0,0,0,0,11,13,0,0,1\n0,0,1,13,14,2,0,0,0,0,7,16,10,12,0,0,0,3,15,10,0,12,3,0,0,7,9,0,0,8,7,0,0,5,9,0,0,8,7,0,0,1,13,0,0,11,2,0,0,0,13,7,5,10,0,0,0,0,3,14,15,3,0,0,0\n0,0,0,0,15,15,1,0,0,0,0,2,16,16,4,0,0,0,2,11,16,15,1,0,0,9,16,16,16,12,0,0,0,3,10,8,16,8,0,0,0,0,0,0,16,11,0,0,0,0,0,0,15,13,0,0,0,0,0,0,15,15,0,0,1\n0,0,2,14,15,8,0,0,0,0,8,10,3,15,1,0,0,0,5,11,1,15,4,0,0,0,0,12,15,16,5,0,0,0,0,0,2,8,6,0,0,1,3,0,0,7,5,0,0,1,12,4,0,10,7,0,0,0,4,14,14,13,1,0,9\n0,0,9,15,14,1,0,0,0,2,16,8,15,10,0,0,0,2,14,4,13,14,1,0,0,0,7,15,15,14,6,0,0,0,0,1,1,7,9,0,0,0,0,0,0,3,12,0,0,0,6,0,0,6,12,0,0,0,9,16,16,16,6,0,9\n0,0,7,10,13,5,0,0,0,6,16,12,16,12,0,0,0,6,15,6,16,14,1,0,0,1,13,16,12,16,2,0,0,0,0,0,0,13,4,0,0,0,0,0,0,11,7,0,0,0,11,6,4,13,8,0,0,0,9,16,16,12,3,0,9\n0,0,8,16,16,16,16,2,0,0,8,10,7,12,13,0,0,0,0,0,3,15,2,0,0,0,4,11,15,16,13,0,0,0,11,16,14,6,0,0,0,0,1,14,6,0,0,0,0,0,7,13,1,0,0,0,0,0,12,8,0,0,0,0,7\n0,0,10,12,13,11,2,0,0,0,14,9,8,8,2,0,0,0,15,0,0,0,0,0,0,6,16,6,0,0,0,0,0,3,12,13,15,5,0,0,0,0,0,0,6,13,1,0,0,0,9,5,4,14,0,0,0,0,8,15,15,7,0,0,5\n0,0,2,13,13,4,0,0,0,0,12,13,11,14,0,0,0,0,9,13,13,14,1,0,0,0,0,4,8,13,3,0,0,0,0,0,0,7,9,0,0,0,0,0,0,3,13,0,0,0,14,6,0,6,12,0,0,0,2,12,16,16,7,0,9\n0,0,0,5,12,15,7,0,0,0,3,14,4,13,6,0,0,0,4,13,0,14,7,0,0,0,0,13,14,16,8,0,0,0,0,0,3,8,8,0,0,1,3,0,0,10,8,0,0,5,16,7,0,12,4,0,0,0,2,6,13,15,1,0,9\n0,0,6,12,15,15,9,0,0,0,8,12,4,4,3,0,0,0,12,3,0,0,0,0,0,1,15,6,3,0,0,0,0,8,16,12,16,6,0,0,0,3,4,0,4,11,0,0,0,4,15,5,13,6,0,0,0,0,6,16,10,0,0,0,5\n0,0,3,10,13,5,0,0,0,0,15,12,5,14,1,0,0,4,12,1,0,10,4,0,0,5,8,0,0,8,7,0,0,5,8,0,0,8,8,0,0,4,11,0,0,11,5,0,0,1,14,6,7,12,0,0,0,0,4,15,14,4,0,0,0\n0,0,0,2,15,7,0,0,0,0,0,11,12,1,0,0,0,0,6,15,1,14,2,0,0,5,15,5,3,16,1,0,0,7,16,14,13,16,8,0,0,1,6,12,15,14,3,0,0,0,0,1,13,7,0,0,0,0,0,3,16,1,0,0,4\n0,0,5,13,12,15,2,0,0,0,13,13,8,8,2,0,0,3,16,5,0,0,0,0,0,7,16,13,5,0,0,0,0,1,7,10,16,10,0,0,0,0,0,0,4,16,4,0,0,0,8,6,5,16,4,0,0,0,7,13,13,10,0,0,5\n0,0,0,2,14,5,1,0,0,0,1,12,13,1,15,4,0,0,9,15,2,6,16,2,0,7,16,13,8,14,12,0,0,9,16,16,16,16,10,0,0,0,0,3,11,15,1,0,0,0,0,0,14,10,0,0,0,0,0,2,16,4,0,0,4\n0,0,7,13,12,9,1,0,0,3,15,5,5,16,4,0,0,3,15,2,7,16,1,0,0,0,5,15,16,15,4,0,0,0,0,0,0,11,7,0,0,1,4,0,0,9,7,0,0,3,13,1,0,10,8,0,0,0,9,15,16,16,1,0,9\n0,0,2,14,12,2,0,0,0,0,12,13,7,13,0,0,0,5,16,1,0,12,3,0,0,6,12,2,0,4,8,0,0,7,8,0,0,7,8,0,0,1,14,1,0,9,6,0,0,0,9,11,7,16,1,0,0,0,2,12,16,8,0,0,0\n0,0,2,8,15,7,0,0,0,0,11,15,6,14,3,0,0,0,16,6,0,4,9,0,0,8,4,0,0,4,8,0,0,6,7,0,0,5,8,0,0,3,13,0,0,13,1,0,0,0,10,11,8,11,0,0,0,0,1,13,11,2,0,0,0\n0,3,16,16,10,0,0,0,0,2,12,11,16,3,0,0,0,0,0,2,16,5,0,0,0,0,0,3,16,2,0,0,0,0,1,15,10,0,0,0,0,0,13,16,1,0,0,0,0,7,16,13,10,12,13,0,0,2,15,16,16,12,6,0,2\n0,0,14,16,14,5,0,0,0,0,3,0,2,16,3,0,0,0,0,4,10,15,1,0,0,6,16,16,14,2,0,0,0,1,4,6,12,12,0,0,0,0,0,0,0,12,9,0,0,0,10,0,4,14,5,0,0,0,13,16,13,4,0,0,3\n0,0,0,13,16,16,16,1,0,0,0,7,8,13,11,0,0,0,0,0,0,14,10,1,0,6,12,13,16,14,9,0,0,6,14,10,16,6,0,0,0,0,0,7,13,1,0,0,0,0,0,13,10,0,0,0,0,0,0,15,3,0,0,0,7\n0,0,6,12,13,12,6,0,0,0,6,8,2,5,7,0,0,0,12,2,0,0,0,0,0,7,15,12,7,2,0,0,0,2,8,8,9,15,4,0,0,0,0,0,0,7,7,0,0,0,4,5,4,13,2,0,0,0,4,15,16,6,0,0,5\n0,0,1,8,15,8,0,0,0,0,14,11,14,16,0,0,0,3,12,0,6,9,0,0,0,1,15,10,14,1,0,0,0,0,1,15,16,5,0,0,0,0,5,12,3,15,3,0,0,0,6,11,1,13,4,0,0,0,0,8,16,13,1,0,8\n0,0,5,8,12,12,13,0,0,0,14,12,8,4,4,0,0,0,14,0,2,0,0,0,0,3,16,16,16,10,0,0,0,0,5,1,2,15,2,0,0,0,0,0,0,16,0,0,0,0,4,10,8,9,0,0,0,0,3,16,13,1,0,0,5\n0,0,4,15,10,0,0,0,0,3,16,9,10,7,0,0,0,7,15,3,1,11,2,0,0,8,6,0,0,6,7,0,0,8,5,0,0,4,8,0,0,4,10,0,0,7,8,0,0,0,13,6,5,15,3,0,0,0,4,15,14,6,0,0,0\n0,0,0,3,15,4,0,0,0,0,0,13,9,0,0,0,0,0,8,12,0,7,4,0,0,4,14,3,0,15,5,0,0,11,16,16,16,16,10,0,0,5,9,9,13,12,0,0,0,0,0,0,12,7,0,0,0,0,0,2,16,3,0,0,4\n0,0,0,2,11,1,0,0,0,0,0,7,13,1,0,0,0,0,6,15,2,4,7,0,0,1,14,11,0,14,8,0,0,7,16,16,16,16,3,0,0,0,0,3,13,14,0,0,0,0,0,0,15,9,0,0,0,0,0,3,15,5,0,0,4\n0,0,4,14,5,0,0,0,0,0,12,15,14,0,0,0,0,0,12,8,15,9,0,0,0,0,5,16,15,16,4,0,0,0,0,0,6,12,10,0,0,0,0,0,0,5,15,0,0,0,3,8,4,9,16,4,0,0,5,12,15,12,11,0,9\n0,0,0,3,12,0,0,0,0,0,0,12,9,1,1,0,0,0,3,16,3,10,7,0,0,1,13,10,1,16,3,0,0,8,16,13,13,16,2,0,0,3,6,8,16,14,2,0,0,0,0,2,16,2,0,0,0,0,0,3,13,0,0,0,4\n0,0,2,13,14,2,0,0,0,1,15,16,16,9,0,0,0,7,16,8,5,16,1,0,0,6,16,3,0,11,7,0,0,5,16,4,0,8,8,0,0,0,16,9,0,10,11,0,0,0,10,15,10,16,8,0,0,0,2,13,16,14,2,0,0\n0,0,3,15,8,0,0,0,0,0,8,16,16,7,0,0,0,0,7,11,9,12,0,0,0,0,2,5,9,11,0,0,0,0,0,0,13,7,0,0,0,0,7,10,16,4,0,0,0,0,14,16,16,16,15,0,0,0,1,4,4,7,11,1,2\n0,0,0,6,11,6,0,0,0,0,8,13,9,16,3,0,0,2,15,4,0,13,3,0,0,0,7,14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0,0,1,14,16,16,12,1,0,3\n0,0,8,13,16,10,3,0,0,5,16,10,8,10,6,0,0,6,12,0,0,0,0,0,0,6,15,12,3,0,0,0,0,4,12,14,16,1,0,0,0,0,0,0,16,8,0,0,0,0,4,7,16,7,0,0,0,0,11,14,10,0,0,0,5\n0,0,0,6,7,0,0,0,0,0,2,15,6,0,0,0,0,0,10,11,1,1,0,0,0,4,16,5,10,9,0,0,0,8,16,16,16,15,2,0,0,1,4,7,16,10,0,0,0,0,0,5,16,1,0,0,0,0,0,9,11,0,0,0,4\n0,0,2,12,5,0,0,0,0,1,13,16,13,2,0,0,0,3,16,10,14,11,0,0,0,7,16,8,5,16,4,0,0,7,16,8,1,14,5,0,0,2,15,9,1,15,5,0,0,0,11,14,11,15,2,0,0,0,3,16,15,3,0,0,0\n0,0,1,8,12,7,0,0,0,2,15,8,5,14,0,0,0,0,11,5,3,15,0,0,0,0,1,14,16,12,0,0,0,0,5,15,15,9,0,0,0,1,15,6,1,12,1,0,0,0,12,11,1,12,5,0,0,0,1,8,8,9,3,0,8\n0,0,2,12,16,14,10,0,0,0,1,8,4,11,13,0,0,0,0,0,0,14,5,0,0,0,0,3,9,15,0,0,0,0,5,16,16,15,3,0,0,0,2,10,13,3,0,0,0,0,0,13,7,0,0,0,0,0,1,15,2,0,0,0,7\n0,0,0,12,7,0,0,0,0,0,7,16,3,0,0,0,0,2,15,6,0,0,0,0,0,4,16,10,7,0,0,0,0,5,16,16,16,12,0,0,0,6,16,9,5,16,3,0,0,1,14,15,11,16,3,0,0,0,1,10,16,7,0,0,6\n0,0,9,16,8,1,0,0,0,5,16,9,14,11,1,0,0,10,10,0,8,16,4,0,0,4,16,15,15,16,8,0,0,0,4,8,7,13,8,0,0,0,0,0,0,9,11,0,0,0,11,6,9,16,7,0,0,0,11,13,12,6,0,0,9\n0,0,0,11,12,0,0,0,0,0,7,16,11,1,0,0,0,2,16,12,0,0,0,0,0,2,16,7,0,0,0,0,0,8,16,16,8,1,0,0,0,4,16,13,13,14,3,0,0,0,13,14,7,16,12,0,0,0,0,10,16,12,6,0,6\n0,0,7,14,7,0,0,0,0,0,15,14,16,3,0,0,0,0,15,12,16,6,0,0,0,0,6,16,16,4,0,0,0,0,8,16,16,11,0,0,0,0,15,12,3,16,8,0,0,2,15,11,8,16,10,0,0,0,9,16,16,12,6,0,8\n0,0,1,14,13,1,0,0,0,0,12,16,16,12,0,0,0,1,11,14,11,16,5,0,0,3,8,16,2,8,10,0,0,0,5,14,0,8,7,0,0,0,7,12,0,15,3,0,0,0,7,14,11,11,0,0,0,0,2,16,13,2,0,0,0\n0,3,12,16,15,4,0,0,0,4,11,8,14,11,0,0,0,0,0,6,16,3,0,0,0,0,3,15,15,1,0,0,0,0,1,11,15,14,1,0,0,0,0,0,4,12,6,0,0,1,8,12,15,16,6,0,0,2,12,12,11,7,0,0,3\n0,0,2,6,9,4,0,0,0,3,15,5,8,13,0,0,0,4,15,3,5,16,0,0,0,0,9,13,15,7,0,0,0,0,3,16,12,0,0,0,0,0,9,9,13,6,0,0,0,0,10,8,11,16,1,0,0,0,5,12,12,7,0,0,8\n0,0,7,15,14,3,0,0,0,0,8,11,10,12,0,0,0,0,0,0,5,13,0,0,0,0,0,5,15,9,0,0,0,0,0,5,12,15,6,0,0,0,0,0,0,8,12,0,0,0,8,1,1,12,12,0,0,0,9,15,16,13,1,0,3\n0,1,8,15,16,12,3,0,0,4,16,13,5,6,2,0,0,0,16,7,1,0,0,0,0,6,16,16,15,8,0,0,0,1,12,8,12,16,5,0,0,0,0,0,5,16,5,0,0,0,3,8,15,12,0,0,0,0,8,14,8,0,0,0,5\n0,0,4,15,6,0,0,0,0,0,13,13,16,0,0,0,0,4,15,1,16,2,0,0,0,0,0,2,16,0,0,0,0,0,0,8,12,0,0,0,0,1,12,16,6,4,0,0,0,7,16,16,16,16,6,0,0,0,2,0,4,8,3,0,2\n0,0,0,8,12,1,0,0,0,0,8,16,14,8,0,0,0,6,16,2,2,16,0,0,0,8,16,2,0,10,6,0,0,4,16,3,0,8,8,0,0,0,10,9,0,8,8,0,0,0,4,16,12,16,2,0,0,0,0,7,13,8,0,0,0\n0,0,10,12,13,9,4,0,0,2,16,11,8,5,3,0,0,3,16,1,0,0,0,0,0,7,16,16,15,3,0,0,0,6,12,9,14,15,1,0,0,0,0,0,6,16,2,0,0,0,4,4,13,15,1,0,0,0,13,15,9,2,0,0,5\n0,0,13,15,3,0,0,0,0,2,16,11,15,4,0,0,0,4,16,2,16,16,0,0,0,2,13,16,16,16,2,0,0,0,0,4,5,15,2,0,0,0,0,0,0,12,7,0,0,0,2,4,4,11,12,0,0,0,11,16,16,15,10,0,9\n0,0,12,16,6,0,0,0,0,6,16,11,15,5,0,0,0,8,16,0,11,15,1,0,0,8,14,0,2,16,5,0,0,8,14,0,0,12,7,0,0,5,16,2,1,16,4,0,0,3,15,10,11,14,2,0,0,0,6,12,10,1,0,0,0\n0,0,11,16,12,1,0,0,0,0,16,12,16,12,0,0,0,0,3,2,12,12,0,0,0,0,5,16,16,6,0,0,0,0,4,12,16,15,2,0,0,0,0,0,5,15,7,0,0,1,11,12,12,16,7,0,0,2,12,15,12,5,1,0,3\n0,0,3,11,7,0,0,0,0,4,16,16,16,0,0,0,0,4,16,16,16,0,0,0,0,4,16,16,10,0,0,0,0,1,14,16,16,0,0,0,0,0,12,16,16,6,0,0,0,0,11,16,16,11,0,0,0,0,2,11,12,6,0,0,1\n0,0,6,11,14,3,0,0,0,2,16,12,11,16,0,0,0,4,16,9,7,15,0,0,0,0,14,15,16,12,0,0,0,0,10,16,16,3,0,0,0,1,16,6,11,15,1,0,0,3,16,3,7,16,3,0,0,0,7,14,16,12,1,0,8\n0,2,12,16,16,10,2,0,0,7,16,8,6,8,2,0,0,6,15,0,0,0,0,0,0,6,16,13,8,0,0,0,0,6,15,12,16,6,0,0,0,0,0,0,11,13,0,0,0,0,4,6,16,12,0,0,0,2,15,14,9,0,0,0,5\n0,0,6,16,5,0,0,0,0,6,16,16,16,7,0,0,0,11,15,2,16,14,0,0,0,9,16,10,16,16,7,0,0,2,13,16,16,16,8,0,0,0,0,0,0,13,12,0,0,0,3,8,12,16,7,0,0,0,5,16,12,5,0,0,9\n0,0,3,15,13,2,0,0,0,2,15,14,16,8,0,0,0,5,15,6,4,15,0,0,0,1,15,1,1,15,3,0,0,3,16,2,0,12,5,0,0,3,16,3,0,12,6,0,0,0,12,14,15,15,0,0,0,0,2,14,14,4,0,0,0\n0,0,2,14,1,0,0,0,0,0,11,13,0,0,0,0,0,2,16,1,0,0,0,0,0,4,16,1,3,0,0,0,0,8,12,12,16,13,0,0,0,4,16,9,4,13,6,0,0,0,13,12,8,12,11,0,0,0,2,10,13,14,4,0,6\n0,0,8,12,11,6,0,0,0,1,14,16,16,13,0,0,0,4,16,16,16,8,0,0,0,1,15,16,16,3,0,0,0,3,15,16,16,7,0,0,0,2,13,16,16,8,0,0,0,1,14,16,16,7,0,0,0,0,7,12,9,0,0,0,1\n0,0,1,12,14,1,0,0,0,0,8,15,7,0,0,0,0,1,14,7,0,0,0,0,0,1,16,16,16,10,2,0,0,1,16,15,5,11,10,0,0,1,16,4,0,8,13,0,0,0,11,11,9,16,8,0,0,0,2,11,15,5,0,0,6\n0,1,10,16,12,1,0,0,0,7,16,10,13,5,0,0,0,1,6,0,9,8,0,0,0,0,0,7,15,10,0,0,0,0,0,6,12,14,7,0,0,0,0,0,0,2,14,0,0,0,7,6,4,9,14,0,0,0,7,15,16,13,7,0,3\n0,0,8,15,10,1,0,0,0,0,15,13,15,10,0,0,0,0,16,2,0,14,1,0,0,0,14,5,7,16,2,0,0,0,7,12,11,15,3,0,0,0,0,0,0,13,4,0,0,0,6,6,9,16,2,0,0,0,7,13,14,3,0,0,9\n0,4,16,16,16,16,13,0,0,5,12,12,13,16,14,0,0,0,0,0,10,15,4,0,0,0,0,3,16,9,0,0,0,0,0,7,16,2,0,0,0,0,3,15,9,0,0,0,0,0,13,16,2,0,0,0,0,2,16,12,0,0,0,0,7\n0,0,1,16,15,5,0,0,0,0,9,16,16,12,0,0,0,2,16,16,16,7,0,0,0,0,12,16,16,2,0,0,0,0,8,16,16,5,0,0,0,0,15,16,16,11,0,0,0,0,15,16,16,16,8,0,0,0,2,10,15,11,4,0,1\n0,0,2,16,10,1,0,0,0,0,8,15,13,7,0,0,0,0,3,9,4,13,0,0,0,0,0,0,6,13,0,0,0,0,0,0,12,8,0,0,0,0,0,4,16,3,0,0,0,0,2,15,14,8,14,5,0,0,2,15,16,16,12,7,2\n0,0,1,12,13,2,0,0,0,0,12,16,10,2,0,0,0,2,16,7,0,0,0,0,0,1,16,12,8,2,0,0,0,2,16,13,13,14,2,0,0,0,13,7,0,12,12,0,0,0,9,13,6,15,13,0,0,0,1,11,15,14,6,0,6\n0,0,4,9,9,0,0,0,0,1,16,15,12,10,0,0,0,3,16,5,0,0,0,0,0,6,16,16,7,0,0,0,0,3,16,15,16,1,0,0,0,0,1,0,12,5,0,0,0,0,13,10,16,6,0,0,0,0,8,16,9,0,0,0,5\n0,0,12,14,8,3,0,0,0,3,16,15,16,16,3,0,0,0,14,12,14,13,1,0,0,0,7,16,16,3,0,0,0,0,12,16,16,2,0,0,0,1,15,4,9,14,0,0,0,3,15,4,5,16,1,0,0,1,12,16,16,12,0,0,8\n0,0,2,9,16,6,0,0,0,1,15,16,11,5,0,0,0,2,16,7,0,0,0,0,0,5,16,0,3,0,0,0,0,4,16,16,16,14,3,0,0,2,16,6,1,10,10,0,0,0,10,12,8,15,10,0,0,0,1,11,16,12,4,0,6\n0,1,11,9,14,11,1,0,0,8,16,14,14,16,2,0,0,7,16,0,11,12,0,0,0,1,1,1,15,5,0,0,0,0,0,10,14,0,0,0,0,0,2,15,5,0,0,0,0,0,12,16,4,0,0,0,0,0,15,11,1,0,0,0,7\n0,0,11,15,16,16,16,7,0,0,14,14,12,16,16,3,0,0,1,0,4,16,6,0,0,0,0,0,13,12,0,0,0,0,0,7,15,4,0,0,0,0,3,16,9,0,0,0,0,0,11,16,5,0,0,0,0,0,15,15,0,0,0,0,7\n0,0,11,12,2,0,0,0,0,3,16,12,7,0,0,0,0,2,14,3,10,0,0,0,0,0,0,5,8,0,0,0,0,0,0,11,5,0,0,0,0,0,3,16,1,0,0,0,0,0,11,14,9,15,15,0,0,0,8,13,12,8,10,2,2\n0,0,2,16,11,0,0,0,0,1,11,16,16,7,0,0,0,10,16,16,16,9,0,0,0,2,9,15,16,11,0,0,0,0,0,12,16,8,0,0,0,0,4,16,16,5,0,0,0,0,10,16,16,15,4,0,0,0,3,15,16,12,0,0,1\n0,4,8,8,12,16,5,0,0,8,16,16,16,15,3,0,0,2,3,7,16,7,0,0,0,0,0,12,14,1,0,0,0,0,9,16,7,0,0,0,0,0,14,16,0,0,0,0,0,6,16,12,0,0,0,0,0,6,14,7,0,0,0,0,7\n0,0,9,16,16,7,0,0,0,0,13,15,13,11,0,0,0,1,15,11,1,0,0,0,0,2,16,16,15,3,0,0,0,0,7,12,12,10,0,0,0,0,0,0,9,14,0,0,0,0,4,8,15,15,0,0,0,0,10,16,16,7,0,0,5\n0,0,5,7,13,7,0,0,0,7,16,16,10,15,0,0,0,5,15,5,6,11,0,0,0,1,9,15,15,4,0,0,0,0,5,16,16,3,0,0,0,0,14,7,13,8,0,0,0,0,15,11,13,11,0,0,0,0,5,12,12,4,0,0,8\n0,0,4,15,9,1,0,0,0,0,11,16,16,9,0,0,0,0,1,10,16,11,0,0,0,0,0,8,16,12,0,0,0,0,0,11,16,10,0,0,0,0,1,16,16,7,0,0,0,0,5,16,16,12,0,0,0,0,5,16,14,6,0,0,1\n0,4,15,9,8,8,1,0,0,4,16,16,16,16,8,0,0,9,15,2,15,14,1,0,0,5,5,5,16,4,0,0,0,0,0,12,12,0,0,0,0,0,7,15,2,0,0,0,0,3,16,7,0,0,0,0,0,6,16,4,0,0,0,0,7\n0,0,3,13,14,1,0,0,0,0,8,15,7,2,0,0,0,0,10,12,2,0,0,0,0,0,13,16,16,10,1,0,0,0,15,14,11,10,10,0,0,0,13,5,0,6,14,0,0,0,8,12,8,12,10,0,0,0,1,10,12,12,4,0,6\n0,0,0,10,13,3,0,0,0,0,7,16,12,6,0,0,0,0,12,13,1,0,0,0,0,0,16,16,16,10,0,0,0,2,16,15,1,12,8,0,0,0,16,4,0,6,15,0,0,0,11,14,8,15,14,1,0,0,2,11,16,11,2,0,6\n0,0,10,13,11,10,0,0,0,0,12,16,16,16,0,0,0,0,13,11,0,2,0,0,0,0,14,16,13,1,0,0,0,0,5,10,14,9,0,0,0,0,0,0,10,13,0,0,0,0,14,16,16,11,0,0,0,0,10,16,13,1,0,0,5\n0,0,3,14,3,0,0,0,0,3,15,16,15,1,0,0,0,6,15,5,8,11,0,0,0,7,10,0,0,12,5,0,0,4,11,0,0,6,10,0,0,2,14,0,0,6,12,0,0,0,12,9,5,13,8,0,0,0,2,15,16,13,2,0,0\n0,0,8,12,13,2,0,0,0,7,16,10,10,15,2,0,0,10,11,0,1,16,4,0,0,6,15,12,16,16,7,0,0,0,5,8,4,12,8,0,0,0,0,0,0,12,12,0,0,0,11,10,12,16,8,0,0,0,9,12,15,9,1,0,9\n0,0,5,13,12,2,0,0,0,0,14,12,12,13,0,0,0,0,11,4,2,15,0,0,0,0,8,8,4,16,1,0,0,0,2,14,16,16,6,0,0,0,0,0,0,7,10,0,0,0,8,9,8,15,10,0,0,0,4,16,16,13,2,0,9\n0,0,0,15,12,3,0,0,0,0,0,16,16,8,0,0,0,0,9,16,16,9,0,0,0,0,0,10,16,13,0,0,0,0,0,4,16,16,2,0,0,0,1,8,16,16,10,0,0,0,8,16,16,16,16,5,0,0,1,9,12,14,12,4,1\n0,0,14,15,12,12,6,0,0,1,16,12,12,16,7,0,0,0,6,1,12,12,0,0,0,0,0,8,15,2,0,0,0,0,0,13,7,0,0,0,0,0,6,15,1,0,0,0,0,0,15,10,0,0,0,0,0,0,15,6,0,0,0,0,7\n0,1,12,13,9,5,0,0,0,5,16,11,15,16,0,0,0,4,16,5,8,16,4,0,0,2,13,16,16,16,5,0,0,0,0,3,4,15,6,0,0,0,0,0,1,15,6,0,0,0,11,9,12,16,2,0,0,0,11,16,14,8,0,0,9\n0,0,0,7,8,0,0,0,0,0,0,14,4,5,0,0,0,0,2,14,4,12,0,0,0,0,9,7,7,9,0,0,0,1,16,2,10,12,3,0,0,10,16,16,16,16,3,0,0,4,8,8,15,4,0,0,0,0,0,7,11,0,0,0,4\n0,0,4,16,14,2,0,0,0,0,16,11,11,10,0,0,0,1,4,1,11,10,0,0,0,0,1,11,16,6,0,0,0,0,6,16,14,13,2,0,0,0,1,2,1,10,11,0,0,0,7,11,6,13,14,0,0,0,3,12,16,15,7,0,3\n0,0,9,11,8,5,0,0,0,2,16,14,16,15,0,0,0,6,16,11,2,0,0,0,0,8,16,16,13,2,0,0,0,1,3,0,12,9,0,0,0,0,0,0,9,12,0,0,0,0,5,8,16,6,0,0,0,0,8,15,10,0,0,0,5\n0,0,4,14,10,0,0,0,0,0,14,15,15,6,0,0,0,1,16,5,5,11,0,0,0,0,5,4,6,13,0,0,0,0,0,0,14,6,0,0,0,0,0,3,16,2,0,0,0,0,3,15,16,12,16,3,0,0,4,16,12,12,12,5,2\n0,0,6,15,16,6,0,0,0,5,15,16,16,11,0,0,0,8,16,16,16,9,0,0,0,0,4,16,16,6,0,0,0,0,2,16,16,0,0,0,0,0,8,16,16,2,0,0,0,0,11,16,16,13,2,0,0,0,5,13,11,8,2,0,1\n0,0,5,3,10,10,0,0,0,4,16,13,14,13,0,0,0,4,14,0,8,8,0,0,0,1,13,13,15,0,0,0,0,0,0,14,16,1,0,0,0,0,13,13,8,5,0,0,0,1,13,10,8,10,0,0,0,0,2,13,16,6,0,0,8\n0,0,5,10,12,7,0,0,0,1,14,16,16,16,0,0,0,11,16,4,7,15,0,0,0,5,12,0,11,14,0,0,0,0,0,5,16,9,0,0,0,0,2,14,13,5,1,0,0,0,10,16,16,16,15,0,0,0,7,12,12,9,12,1,2\n0,0,9,14,9,2,0,0,0,2,16,10,14,8,0,0,0,2,16,2,6,16,1,0,0,0,14,9,11,16,5,0,0,0,2,11,11,14,9,0,0,0,0,0,0,13,11,0,0,0,5,9,11,16,6,0,0,0,7,13,12,8,0,0,9\n0,0,11,16,14,7,1,0,0,7,15,7,13,16,4,0,0,10,12,0,5,16,6,0,0,3,16,12,15,16,8,0,0,0,2,4,7,16,6,0,0,0,0,0,3,16,4,0,0,0,7,10,10,15,2,0,0,0,11,16,14,6,0,0,9\n0,0,5,15,12,3,0,0,0,0,9,12,10,3,0,0,0,0,14,6,0,0,0,0,0,0,15,16,16,3,0,0,0,0,7,8,10,10,0,0,0,0,0,0,5,13,0,0,0,0,4,12,16,11,0,0,0,0,6,16,11,2,0,0,5\n0,0,5,12,11,2,0,0,0,1,14,15,13,14,0,0,0,2,15,4,6,16,0,0,0,0,0,2,13,12,0,0,0,0,0,11,16,13,2,0,0,0,0,1,5,12,12,0,0,0,8,11,8,14,12,0,0,0,7,16,12,12,3,0,3\n0,0,0,11,15,5,0,0,0,0,8,16,13,6,0,0,0,0,11,14,0,0,0,0,0,0,15,15,12,8,0,0,0,0,16,14,12,15,9,0,0,0,16,6,0,11,14,0,0,0,10,14,9,16,11,0,0,0,1,11,13,12,1,0,6\n0,0,11,12,16,10,1,0,0,5,16,15,7,15,4,0,0,5,16,6,8,15,1,0,0,0,7,16,16,10,0,0,0,0,6,16,16,7,0,0,0,0,14,10,10,12,0,0,0,4,16,9,12,14,0,0,0,1,11,16,15,5,0,0,8\n0,0,2,13,16,6,0,0,0,0,11,16,11,5,0,0,0,0,15,6,0,0,0,0,0,4,16,4,10,2,0,0,0,3,14,15,16,14,1,0,0,3,16,8,0,14,9,0,0,0,13,8,5,16,5,0,0,0,4,13,16,10,0,0,6\n0,0,0,5,4,1,0,0,0,0,0,14,8,12,0,0,0,0,4,13,4,12,0,0,0,0,12,5,7,9,0,0,0,2,16,4,13,16,7,0,0,10,16,16,16,11,1,0,0,5,6,7,15,0,0,0,0,0,0,7,7,0,0,0,4\n0,0,0,11,8,0,0,0,0,0,0,13,7,0,0,0,0,0,3,16,6,15,0,0,0,0,9,11,7,14,0,0,0,1,15,6,12,13,1,0,0,7,16,16,16,16,11,0,0,5,12,13,16,8,3,0,0,0,0,12,12,0,0,0,4\n0,0,10,16,16,8,0,0,0,0,15,14,9,9,0,0,0,3,16,5,0,0,0,0,0,2,16,16,10,0,0,0,0,0,11,13,15,6,0,0,0,0,0,0,10,11,0,0,0,0,5,11,15,13,0,0,0,0,7,16,15,4,0,0,5\n0,0,5,12,8,2,0,0,0,0,12,6,8,13,0,0,0,2,10,0,0,12,2,0,0,0,14,12,12,10,0,0,0,0,1,15,16,7,0,0,0,0,14,8,0,9,1,0,0,0,14,2,1,12,2,0,0,0,8,12,12,6,0,0,8\n0,0,4,11,4,0,0,0,0,0,12,15,16,14,0,0,0,4,15,0,5,12,6,0,0,6,10,0,0,7,8,0,0,7,8,0,0,8,8,0,0,6,13,0,1,13,3,0,0,2,16,10,12,13,0,0,0,0,6,13,12,1,0,0,0\n0,0,3,16,11,0,0,0,0,0,5,16,16,0,0,0,0,1,11,16,15,0,0,0,0,3,15,16,15,0,0,0,0,0,2,16,14,0,0,0,0,0,0,15,16,0,0,0,0,0,1,16,16,2,0,0,0,0,1,11,14,5,0,0,1\n0,0,3,14,7,1,0,0,0,0,11,15,16,12,0,0,0,0,14,8,0,13,4,0,0,1,16,2,0,12,6,0,0,1,16,2,0,13,7,0,0,2,16,0,4,16,1,0,0,0,13,10,15,13,0,0,0,0,6,15,12,6,0,0,0\n0,0,9,13,4,0,0,0,0,1,16,9,11,0,0,0,0,2,11,0,13,0,0,0,0,0,2,3,13,0,0,0,0,0,0,11,5,0,0,0,0,0,3,14,1,0,0,0,0,0,11,14,10,8,11,0,0,0,11,13,12,12,14,2,2\n0,0,7,11,13,7,0,0,0,1,15,15,13,15,2,0,0,4,16,4,5,14,4,0,0,0,10,16,16,13,2,0,0,0,7,15,16,3,0,0,0,1,16,9,8,15,0,0,0,3,15,6,9,16,0,0,0,0,6,16,15,6,0,0,8\n0,0,4,14,15,8,1,0,0,0,14,14,12,15,7,0,0,3,15,1,0,9,7,0,0,6,12,0,0,8,8,0,0,8,11,0,0,9,8,0,0,8,12,0,0,14,5,0,0,3,16,9,14,11,0,0,0,0,6,14,11,0,0,0,0\n0,2,12,16,16,16,14,0,0,9,16,16,15,16,6,0,0,11,13,0,11,14,0,0,0,0,0,2,16,6,0,0,0,0,0,12,14,1,0,0,0,0,4,16,6,0,0,0,0,0,11,16,1,0,0,0,0,2,15,13,0,0,0,0,7\n0,0,1,7,12,5,0,0,0,0,4,16,9,6,0,0,0,0,11,8,0,0,0,0,0,0,15,8,8,5,0,0,0,0,16,16,12,16,2,0,0,0,15,5,0,15,5,0,0,0,11,9,8,16,4,0,0,0,2,14,15,8,0,0,6\n0,0,5,10,12,2,0,0,0,2,16,13,11,11,0,0,0,7,14,0,4,15,0,0,0,1,6,0,10,12,0,0,0,0,0,2,16,6,0,0,0,0,0,9,12,0,0,0,0,0,4,16,16,16,16,2,0,0,7,15,11,8,8,1,2\n0,0,7,13,16,8,0,0,0,9,16,12,8,16,2,0,0,4,7,0,6,15,1,0,0,0,4,13,16,8,0,0,0,0,6,13,15,16,3,0,0,0,0,0,2,11,12,0,0,0,7,8,4,14,12,0,0,0,10,16,16,14,4,0,3\n0,0,10,15,10,0,0,0,0,10,15,10,16,6,0,0,0,2,2,13,15,1,0,0,0,0,4,16,16,5,0,0,0,0,0,3,7,15,5,0,0,0,0,0,0,9,13,0,0,0,13,7,5,11,14,0,0,0,7,16,16,14,3,0,3\n0,0,0,11,14,2,0,0,0,0,9,16,12,6,0,0,0,2,15,8,0,0,0,0,0,0,16,4,3,1,0,0,0,0,16,14,16,15,3,0,0,0,13,14,2,4,14,1,0,0,7,14,5,8,16,4,0,0,1,9,15,14,7,0,6\n0,0,10,14,11,9,0,0,0,0,9,12,8,9,0,0,0,0,11,9,1,0,0,0,0,0,15,16,14,2,0,0,0,0,12,2,10,6,0,0,0,0,0,0,0,13,0,0,0,0,7,5,8,12,0,0,0,0,10,16,15,4,0,0,5\n0,1,11,14,12,6,0,0,0,8,15,7,11,15,0,0,0,11,9,0,8,16,4,0,0,8,14,13,16,16,7,0,0,0,6,9,4,15,8,0,0,0,0,0,0,11,10,0,0,0,9,8,11,16,3,0,0,0,14,14,11,5,0,0,9\n0,0,8,11,15,4,0,0,0,0,14,14,12,6,0,0,0,0,11,9,0,0,0,0,0,0,10,16,14,2,0,0,0,0,4,8,9,14,2,0,0,0,0,0,0,15,2,0,0,0,4,11,13,16,1,0,0,0,4,15,12,9,0,0,5\n0,0,8,12,14,15,15,1,0,3,15,16,14,16,15,2,0,0,10,2,5,16,7,0,0,0,0,1,14,12,0,0,0,0,0,6,16,5,0,0,0,0,0,15,12,0,0,0,0,0,6,16,7,0,0,0,0,0,11,16,3,0,0,0,7\n0,0,7,8,8,8,0,0,0,0,12,16,14,12,0,0,0,0,15,5,2,0,0,0,0,0,14,16,13,2,0,0,0,0,7,4,12,9,0,0,0,0,0,0,6,12,0,0,0,0,11,12,16,10,0,0,0,0,8,13,8,1,0,0,5\n0,0,3,12,15,3,0,0,0,0,14,15,14,4,0,0,0,1,16,15,1,0,0,0,0,3,16,16,5,2,1,0,0,2,16,11,4,8,10,0,0,2,16,2,0,6,13,0,0,0,11,11,4,11,10,0,0,0,1,10,13,10,3,0,6\n0,0,5,15,11,9,1,0,0,0,10,16,12,14,7,0,0,0,15,2,0,10,8,0,0,2,12,0,0,11,8,0,0,4,10,0,0,12,5,0,0,8,10,0,3,15,1,0,0,2,15,12,14,9,0,0,0,0,6,14,9,1,0,0,0\n0,0,0,10,14,0,0,0,0,0,4,16,7,0,0,0,0,0,8,16,6,8,0,0,0,0,14,9,8,15,0,0,0,4,16,3,11,15,6,0,0,10,16,16,16,16,9,0,0,6,12,13,16,7,0,0,0,0,0,12,16,2,0,0,4\n0,0,1,10,14,13,2,0,0,0,9,15,13,16,5,0,0,0,0,0,0,11,5,0,0,0,0,0,4,13,0,0,0,0,8,16,16,13,2,0,0,0,8,14,16,10,1,0,0,0,0,12,7,0,0,0,0,0,0,14,2,0,0,0,7\n0,0,7,15,8,2,0,0,0,0,12,16,14,5,0,0,0,0,12,16,16,4,0,0,0,0,12,16,16,2,0,0,0,0,13,16,16,2,0,0,0,0,14,16,16,0,0,0,0,1,14,16,16,14,1,0,0,1,8,16,11,8,0,0,1\n0,0,6,9,4,1,0,0,0,0,6,16,16,9,1,0,0,0,4,16,1,13,7,0,0,0,0,14,5,12,8,0,0,1,10,15,16,10,0,0,0,6,15,9,16,1,0,0,0,7,13,8,14,4,0,0,0,0,6,10,13,1,0,0,8\n0,0,5,12,8,1,0,0,0,0,15,16,16,8,0,0,0,0,15,16,16,6,0,0,0,1,14,16,16,4,0,0,0,2,15,16,16,9,0,0,0,0,6,16,16,14,1,0,0,0,8,16,16,15,0,0,0,0,4,12,10,4,0,0,1\n0,0,0,2,15,3,0,0,0,0,0,8,14,0,0,0,0,0,0,12,8,2,4,0,0,0,4,15,2,15,8,0,0,4,13,14,9,16,6,0,3,16,16,16,16,14,0,0,1,6,4,4,13,9,0,0,0,0,0,3,16,4,0,0,4\n0,0,7,16,10,0,0,0,0,1,13,14,16,8,0,0,0,5,16,4,7,13,0,0,0,4,16,4,0,13,5,0,0,7,16,0,0,12,8,0,0,2,15,7,0,10,11,0,0,0,12,15,12,16,5,0,0,0,6,15,16,8,0,0,0\n0,0,4,14,16,11,0,0,0,0,12,12,16,15,0,0,0,0,0,1,16,11,0,0,0,0,2,9,16,9,0,0,0,0,13,16,16,16,9,0,0,0,2,15,12,8,1,0,0,0,4,16,9,0,0,0,0,0,5,15,7,0,0,0,7\n0,0,3,12,15,3,0,0,0,0,9,15,15,7,0,0,0,0,12,14,12,1,0,0,0,0,8,16,16,14,0,0,0,0,0,0,0,13,7,0,0,0,0,0,0,7,12,0,0,2,16,10,8,13,10,0,0,0,6,11,16,14,3,0,5\n0,0,0,3,15,5,0,0,0,0,0,6,16,2,0,0,0,0,0,6,16,3,0,0,0,0,2,13,5,12,2,0,0,5,13,13,9,16,1,0,4,16,16,16,16,15,0,0,2,9,7,4,13,9,0,0,0,0,0,5,16,5,0,0,4\n0,3,13,16,16,6,0,0,0,4,16,9,14,12,0,0,0,0,8,3,14,7,0,0,0,0,0,12,16,3,0,0,0,0,0,5,15,15,1,0,0,0,0,0,1,16,10,0,0,2,12,8,11,16,7,0,0,2,15,16,15,9,0,0,3\n0,1,14,16,9,0,0,0,0,8,16,12,15,6,0,0,0,6,16,7,5,14,0,0,0,4,16,4,0,14,4,0,0,4,16,3,0,10,6,0,0,6,16,1,0,10,8,0,0,3,16,9,7,15,6,0,0,1,15,16,15,9,0,0,0\n0,0,8,16,11,0,0,0,0,1,15,15,14,9,0,0,0,1,15,12,0,12,6,0,0,0,16,7,0,10,4,0,0,0,16,6,0,10,8,0,0,3,16,3,0,15,3,0,0,1,14,14,12,16,0,0,0,0,7,13,16,8,0,0,0\n0,0,8,14,12,2,0,0,0,3,16,12,15,6,0,0,0,3,7,7,13,9,0,0,0,0,5,15,16,3,0,0,0,0,0,7,14,14,1,0,0,0,0,0,3,16,5,0,0,0,7,5,10,16,5,0,0,0,13,10,8,3,0,0,3\n0,1,9,15,5,0,0,0,0,6,16,13,15,3,0,0,0,12,11,0,12,14,0,0,0,5,15,11,15,16,3,0,0,0,4,8,10,16,5,0,0,0,0,0,0,12,12,0,0,0,6,4,7,14,13,0,0,0,7,14,14,12,5,0,9\n0,2,14,16,11,0,0,0,0,8,15,7,16,0,0,0,0,1,2,0,15,1,0,0,0,0,2,12,14,0,0,0,0,0,1,11,14,11,0,0,0,0,0,0,2,14,5,0,0,2,8,3,4,10,12,0,0,1,13,16,16,14,4,0,3\n0,0,3,11,16,16,10,0,0,0,11,10,8,16,7,0,0,0,0,0,4,16,2,0,0,0,1,4,13,11,0,0,0,0,10,16,16,16,9,0,0,0,4,13,13,8,2,0,0,0,2,14,6,0,0,0,0,0,4,12,1,0,0,0,7\n0,0,1,13,12,14,7,0,0,0,5,12,9,16,2,0,0,0,0,0,3,13,0,0,0,0,0,0,10,7,0,0,0,0,7,16,16,10,1,0,0,0,9,14,16,11,1,0,0,0,0,15,5,0,0,0,0,0,1,15,2,0,0,0,7\n0,0,0,0,10,7,0,0,0,0,0,0,15,5,0,0,0,0,0,4,16,3,0,0,0,0,0,7,15,3,0,0,0,3,7,14,12,16,1,0,1,14,16,16,16,15,0,0,0,9,10,14,16,16,0,0,0,0,0,0,12,9,0,0,4\n0,0,4,16,16,8,0,0,0,2,16,10,12,16,4,0,0,4,16,4,10,16,4,0,0,3,16,16,16,16,1,0,0,0,0,0,4,16,4,0,0,0,0,0,2,16,1,0,0,0,0,6,11,16,0,0,0,0,4,13,9,3,0,0,9\n0,1,11,16,15,2,0,0,0,4,12,8,14,8,0,0,0,1,1,2,15,6,0,0,0,0,0,7,16,4,0,0,0,0,0,1,13,13,0,0,0,0,0,0,2,16,7,0,0,0,10,11,8,15,8,0,0,0,8,14,16,12,1,0,3\n0,0,0,8,14,5,0,0,0,0,0,9,16,14,2,0,0,0,0,11,16,13,1,0,0,0,6,16,16,7,0,0,0,3,13,16,16,4,0,0,0,3,11,15,16,12,0,0,0,0,0,10,16,15,3,0,0,0,0,8,16,15,6,0,1\n0,0,3,15,12,2,0,0,0,1,16,14,13,11,0,0,0,5,16,12,0,11,5,0,0,4,11,11,0,3,8,0,0,6,8,0,0,4,8,0,0,4,11,0,0,9,7,0,0,0,15,13,9,13,5,0,0,0,3,12,14,12,0,0,0\n0,0,0,10,13,3,0,0,0,0,0,16,16,8,0,0,0,0,4,16,16,7,0,0,0,2,15,16,16,10,0,0,0,6,16,16,16,13,0,0,0,0,0,8,16,14,0,0,0,0,0,11,16,16,1,0,0,0,0,12,12,7,0,0,1\n0,0,0,9,14,14,12,6,0,0,3,8,8,11,16,7,0,0,0,0,1,12,12,0,0,0,3,4,11,14,0,0,0,0,13,16,16,15,4,0,0,0,0,10,11,0,0,0,0,0,0,14,9,0,0,0,0,0,0,15,4,0,0,0,7\n0,0,2,14,16,13,0,0,0,0,15,9,7,9,0,0,0,0,14,6,5,4,0,0,0,0,11,16,16,16,3,0,0,0,1,5,4,11,8,0,0,0,3,0,0,7,9,0,0,2,16,11,4,8,10,0,0,0,1,10,14,15,3,0,5\n0,0,4,13,16,15,4,0,0,3,16,10,8,16,4,0,0,3,10,0,3,16,4,0,0,0,0,11,16,15,0,0,0,0,0,3,14,16,6,0,0,0,0,0,2,16,9,0,0,0,2,12,8,16,8,0,0,0,3,16,16,13,1,0,3\n0,0,8,14,13,1,0,0,0,3,16,16,16,7,0,0,0,4,16,3,11,8,0,0,0,0,4,0,15,4,0,0,0,0,0,3,15,1,0,0,0,0,7,14,15,5,2,0,0,1,16,16,16,16,15,0,0,0,6,4,6,9,11,0,2\n0,0,6,11,4,0,0,0,0,0,12,16,14,0,0,0,0,0,12,16,6,1,0,0,0,0,5,16,16,5,0,0,0,0,12,16,16,4,0,0,0,0,12,16,16,9,0,0,0,0,13,16,16,12,0,0,0,0,8,12,11,6,0,0,1\n0,0,0,16,11,4,0,0,0,0,2,16,16,12,0,0,0,0,10,16,16,8,0,0,0,2,16,16,16,4,0,0,0,2,11,16,16,4,0,0,0,0,1,16,16,6,0,0,0,0,0,14,16,16,6,0,0,0,0,12,16,15,6,0,1\n0,0,0,9,15,10,0,0,0,0,2,16,16,16,0,0,0,0,0,15,16,16,0,0,0,0,2,16,16,12,0,0,0,0,14,16,16,12,0,0,0,4,16,16,16,11,0,0,0,0,0,12,16,16,4,0,0,0,0,14,15,10,2,0,1\n0,0,13,14,5,0,0,0,0,3,16,15,16,3,0,0,0,7,11,1,13,4,0,0,0,1,2,2,15,2,0,0,0,0,0,9,12,0,0,0,0,0,8,16,4,1,1,0,0,0,16,16,16,16,8,0,0,0,11,12,10,11,7,0,2\n0,0,7,13,14,6,0,0,0,2,16,16,16,14,0,0,0,3,16,9,4,2,0,0,0,2,16,16,14,5,0,0,0,0,6,8,9,15,7,0,0,0,0,0,0,8,12,0,0,0,11,4,5,14,11,0,0,0,8,16,16,13,1,0,5\n0,0,9,16,14,1,0,0,0,4,16,14,15,8,0,0,0,8,16,5,3,15,2,0,0,7,13,0,0,15,4,0,0,8,12,0,0,12,5,0,0,5,14,1,2,14,4,0,0,0,16,16,16,13,1,0,0,0,8,14,11,3,0,0,0\n0,0,0,7,8,2,0,0,0,0,2,15,16,8,0,0,0,0,4,16,16,8,0,0,0,0,8,16,16,9,0,0,0,3,16,16,16,16,0,0,0,1,6,9,16,16,0,0,0,0,0,7,16,16,2,0,0,0,0,7,11,3,0,0,1\n0,0,3,14,8,0,0,0,0,8,16,16,16,6,0,0,0,11,14,4,7,14,0,0,0,9,10,0,0,12,7,0,0,6,11,0,0,6,8,0,0,0,16,4,0,4,12,0,0,0,10,14,10,14,10,0,0,0,2,12,16,13,2,0,0\n0,0,12,13,9,2,0,0,0,3,16,16,16,7,0,0,0,2,16,5,0,0,0,0,0,0,14,16,14,3,0,0,0,0,1,4,10,15,3,0,0,0,0,0,0,9,12,0,0,0,13,12,12,13,13,0,0,0,6,12,14,14,5,0,5\n0,0,2,11,15,8,0,0,0,0,14,13,13,8,0,0,0,0,14,8,8,4,0,0,0,0,7,16,16,14,2,0,0,0,1,4,1,13,6,0,0,0,0,0,0,7,13,0,0,0,10,7,2,7,12,0,0,0,2,10,14,16,7,0,5\n0,0,12,10,2,0,0,0,0,2,16,8,10,2,0,0,0,0,16,0,10,10,0,0,0,0,5,10,12,15,0,0,0,0,0,6,8,14,3,0,0,0,0,0,0,5,12,0,0,0,0,1,4,9,13,0,0,0,10,15,16,15,5,0,9\n0,0,1,12,7,0,0,0,0,0,14,16,6,0,0,0,0,2,16,5,0,0,0,0,0,1,16,2,0,0,0,0,0,3,16,11,5,3,0,0,0,1,16,15,14,16,8,0,0,0,11,16,5,7,16,5,0,0,1,10,16,16,13,1,6\n0,1,11,14,14,3,0,0,0,9,14,10,11,14,0,0,0,8,8,0,9,12,0,0,0,3,3,8,16,6,0,0,0,0,0,8,14,16,2,0,0,0,0,0,0,10,12,0,0,0,5,6,4,12,13,0,0,0,11,12,15,14,6,0,3\n0,0,0,1,16,8,0,0,0,0,0,3,16,6,0,0,0,0,0,7,15,9,3,0,0,0,3,14,8,16,4,0,0,7,15,14,12,16,3,0,3,15,16,16,16,16,1,0,1,4,4,4,14,13,0,0,0,0,0,1,16,7,0,0,4\n0,0,3,15,16,16,6,0,0,0,11,15,12,16,2,0,0,0,0,0,11,13,0,0,0,0,4,8,16,8,2,0,0,0,14,16,16,16,10,0,0,0,3,13,12,6,1,0,0,0,1,16,6,0,0,0,0,0,7,15,2,0,0,0,7\n0,0,0,4,16,1,0,0,0,0,0,6,14,0,0,0,0,0,0,11,10,9,2,0,0,0,4,16,8,16,4,0,0,5,14,11,11,16,2,0,3,15,16,16,16,14,0,0,3,12,11,14,16,13,0,0,0,0,0,7,16,7,0,0,4\n0,0,10,16,14,6,0,0,0,0,14,16,9,15,3,0,0,0,10,16,5,15,4,0,0,0,3,16,16,13,1,0,0,0,12,16,16,10,0,0,0,2,16,5,10,14,0,0,0,7,16,8,7,16,3,0,0,0,9,14,16,11,1,0,8\n0,1,12,8,0,0,0,0,0,9,16,14,9,0,0,0,0,9,8,0,16,0,0,0,0,1,0,4,13,0,0,0,0,0,0,9,7,0,0,0,0,0,1,13,3,0,0,0,0,1,15,15,11,10,7,0,0,0,11,12,12,12,11,0,2\n0,0,0,1,16,5,0,0,0,0,0,4,16,6,0,0,0,0,0,7,15,3,2,0,0,0,1,14,8,16,7,0,0,3,12,15,9,16,2,0,2,15,16,16,16,15,0,0,0,3,7,8,15,12,0,0,0,0,0,1,16,9,0,0,4\n0,0,6,8,0,0,0,0,0,0,11,14,0,0,0,0,0,0,13,7,0,0,0,0,0,0,16,7,0,0,0,0,0,0,16,9,6,0,0,0,0,4,16,16,16,14,2,0,0,2,14,14,8,16,9,0,0,0,6,15,16,16,6,0,6\n0,0,0,9,9,1,0,0,0,0,10,16,10,12,1,0,0,0,5,14,1,12,4,0,0,0,0,11,15,16,2,0,0,0,3,12,16,9,0,0,0,1,12,10,4,16,7,0,0,2,15,5,0,11,12,0,0,0,1,10,13,13,6,0,8\n0,0,13,16,5,0,0,0,0,4,15,13,13,0,0,0,0,7,8,3,16,1,0,0,0,9,3,4,16,0,0,0,0,0,0,8,10,0,0,0,0,0,2,15,5,0,0,0,0,0,12,16,16,16,7,0,0,0,13,12,9,15,7,0,2\n0,0,10,16,14,3,0,0,0,2,16,10,14,12,0,0,0,0,7,4,14,8,0,0,0,0,0,8,16,9,0,0,0,0,0,0,7,16,4,0,0,0,0,0,0,13,7,0,0,8,11,5,4,16,4,0,0,1,11,15,16,8,1,0,3\n0,0,0,9,14,0,0,0,0,0,0,13,11,0,4,0,0,0,2,16,6,6,15,0,0,0,9,14,0,14,10,0,0,12,16,14,13,15,1,0,0,11,14,14,16,12,0,0,0,0,0,7,16,5,0,0,0,0,0,14,13,0,0,0,4\n0,0,11,15,6,0,0,0,0,0,10,16,8,0,0,0,0,0,8,16,16,0,0,0,0,2,12,16,14,2,0,0,0,0,6,16,16,7,0,0,0,0,8,16,16,9,0,0,0,0,12,16,16,15,3,0,0,0,8,15,12,5,1,0,1\n0,0,6,9,13,11,2,0,0,7,16,16,16,16,3,0,0,8,16,10,6,0,0,0,0,5,16,16,16,13,1,0,0,0,0,3,6,16,4,0,0,3,0,0,0,12,5,0,0,5,16,9,8,14,6,0,0,0,5,10,12,10,0,0,5\n0,1,10,10,6,0,0,0,0,4,15,11,15,7,0,0,0,2,14,1,11,14,0,0,0,0,11,16,16,16,0,0,0,0,0,0,0,16,3,0,0,0,0,0,0,11,8,0,0,2,8,8,8,12,12,0,0,2,12,12,16,13,5,0,9\n0,0,8,16,15,4,0,0,0,0,8,16,16,10,0,0,0,0,8,16,16,7,0,0,0,0,8,16,16,4,0,0,0,2,16,16,16,4,0,0,0,0,12,16,16,4,0,0,0,0,7,16,16,11,0,0,0,0,7,16,16,13,4,0,1\n0,0,7,11,15,6,0,0,0,3,16,15,12,4,0,0,0,5,16,13,14,8,0,0,0,6,15,11,8,15,6,0,0,0,0,0,0,8,8,0,0,0,0,0,0,4,8,0,0,0,13,9,8,13,5,0,0,0,6,11,14,9,0,0,5\n0,1,12,16,16,8,0,0,0,4,10,8,8,4,0,0,0,9,11,6,7,0,0,0,0,4,16,16,16,11,0,0,0,0,0,0,1,16,4,0,0,0,0,0,0,16,6,0,0,0,5,8,11,14,2,0,0,0,15,13,10,1,0,0,5\n0,0,7,13,16,8,0,0,0,0,16,14,10,16,2,0,0,0,9,14,4,16,1,0,0,0,1,16,16,14,0,0,0,0,8,16,16,3,0,0,0,2,16,13,14,15,1,0,0,4,16,7,5,16,6,0,0,0,10,15,16,15,2,0,8\n0,0,6,16,8,0,0,0,0,0,14,10,11,7,0,0,0,0,16,1,3,16,1,0,0,0,11,10,13,16,5,0,0,0,2,8,8,9,10,0,0,0,0,0,0,2,14,0,0,0,0,0,1,5,15,1,0,0,6,15,16,14,5,0,9\n0,1,9,15,2,0,0,0,0,10,14,14,7,0,0,0,0,5,3,10,8,0,0,0,0,0,0,14,4,0,0,0,0,0,2,16,0,0,0,0,0,0,10,12,1,0,0,0,0,2,16,16,16,14,8,0,0,0,7,9,14,16,7,0,2\n0,0,5,15,10,0,0,0,0,1,15,12,13,10,0,0,0,5,16,2,1,11,3,0,0,5,14,2,0,4,8,0,0,4,12,0,0,4,8,0,0,3,14,2,0,9,9,0,0,0,12,12,7,14,9,0,0,0,5,16,16,10,0,0,0\n0,0,0,8,11,0,0,0,0,0,5,14,7,0,0,0,0,0,12,10,0,0,0,0,0,4,16,3,0,0,0,0,0,5,15,12,10,3,0,0,0,4,16,12,8,15,5,0,0,0,10,15,6,10,15,0,0,0,0,7,12,12,8,0,6\n0,0,2,14,11,4,0,0,0,1,14,16,13,16,2,0,0,4,16,10,3,15,3,0,0,0,9,16,14,14,2,0,0,1,12,16,16,4,0,0,0,5,16,9,11,13,0,0,0,1,14,13,10,16,7,0,0,0,4,9,13,11,1,0,8\n0,0,9,14,10,1,0,0,0,3,13,2,8,9,0,0,0,4,12,0,4,16,1,0,0,1,14,8,11,16,6,0,0,0,1,6,3,10,7,0,0,0,0,0,0,8,8,0,0,3,8,3,1,10,8,0,0,1,9,11,16,12,1,0,9\n0,0,11,12,4,0,0,0,0,4,16,8,14,7,0,0,0,5,16,7,6,15,1,0,0,0,12,16,16,16,2,0,0,0,0,1,0,7,9,0,0,0,0,0,0,4,12,0,0,0,4,8,10,14,12,0,0,0,10,12,9,7,0,0,9\n0,0,10,16,16,16,5,0,0,0,2,4,10,16,5,0,0,0,0,0,9,12,0,0,0,0,4,14,16,13,6,0,0,0,6,15,16,15,7,0,0,0,0,14,10,0,0,0,0,0,6,16,7,0,0,0,0,0,11,15,0,0,0,0,7\n0,1,12,12,11,5,0,0,0,5,15,8,12,15,2,0,0,7,12,0,9,16,3,0,0,3,15,9,10,16,7,0,0,0,5,11,16,16,8,0,0,0,0,0,1,14,10,0,0,0,7,8,11,16,2,0,0,0,12,16,13,6,0,0,9\n0,1,10,16,13,4,0,0,0,9,13,4,11,15,0,0,0,0,0,0,4,16,1,0,0,0,0,3,13,11,0,0,0,0,0,7,16,14,2,0,0,0,0,0,4,15,8,0,0,0,5,4,5,14,9,0,0,0,15,16,14,9,0,0,3\n0,0,8,16,8,0,0,0,0,0,10,16,16,0,0,0,0,0,6,10,16,4,0,0,0,0,0,0,16,2,0,0,0,0,0,7,13,0,0,0,0,0,1,14,8,0,0,0,0,0,13,16,16,16,14,0,0,0,8,12,11,8,14,0,2\n0,0,3,12,6,0,0,0,0,0,16,16,16,8,0,0,0,0,14,14,7,15,0,0,0,0,5,16,15,8,0,0,0,0,0,13,16,0,0,0,0,2,14,10,13,7,0,0,0,3,15,7,9,15,0,0,0,0,5,12,11,5,0,0,8\n0,1,11,13,5,0,0,0,0,7,12,7,15,4,0,0,0,8,4,0,8,12,0,0,0,2,6,0,0,13,0,0,0,0,0,1,8,3,0,0,0,0,0,11,8,0,0,0,0,1,12,16,13,8,2,0,0,2,12,12,12,12,12,0,2\n0,3,13,16,13,1,0,0,0,11,11,8,14,8,0,0,0,5,1,0,5,14,0,0,0,0,0,0,5,11,0,0,0,0,0,1,14,3,0,0,0,0,0,9,11,0,0,0,0,0,11,16,15,12,7,0,0,1,8,8,9,13,7,0,2\n0,3,14,16,12,2,0,0,0,11,12,4,12,8,0,0,0,1,1,0,12,7,0,0,0,0,0,9,16,6,0,0,0,0,0,4,11,16,2,0,0,0,0,0,0,8,11,0,0,1,8,6,7,14,6,0,0,2,11,16,12,8,0,0,3\n0,0,8,10,16,13,0,0,0,4,16,16,16,16,1,0,0,6,16,12,8,15,5,0,0,6,16,1,0,12,8,0,0,5,13,0,1,14,6,0,0,4,14,2,12,16,2,0,0,2,16,16,16,8,0,0,0,0,9,12,7,0,0,0,0\n0,0,6,15,8,0,0,0,0,0,13,15,16,4,0,0,0,0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4,16,2,0,1,11,12,14,16,11,0,0,0,0,0,9,16,5,0,0,4\n0,0,0,2,13,7,0,0,0,0,0,9,15,3,0,0,0,0,2,14,10,0,0,0,0,0,13,13,2,6,0,0,0,8,15,2,14,14,0,0,4,15,16,16,16,12,0,0,1,4,8,10,16,7,0,0,0,0,0,5,16,6,0,0,4\n0,0,0,4,15,0,0,0,0,0,0,11,13,0,0,0,0,0,1,15,7,0,0,0,0,0,11,11,0,0,0,0,0,2,16,2,11,8,0,0,2,13,14,10,16,8,0,0,2,6,12,15,16,4,0,0,0,0,0,5,14,1,0,0,4\n0,0,8,16,15,11,0,0,0,0,5,7,11,16,3,0,0,0,0,0,9,13,0,0,0,0,7,15,15,5,0,0,0,0,8,14,16,14,4,0,0,0,0,10,9,4,1,0,0,0,4,14,1,0,0,0,0,0,10,7,0,0,0,0,7\n0,0,0,0,10,13,2,0,0,0,0,4,16,16,2,0,0,0,0,10,16,16,2,0,0,1,13,16,16,16,4,0,0,5,12,10,16,16,0,0,0,0,0,0,15,16,1,0,0,0,0,0,14,16,5,0,0,0,0,0,11,16,6,0,1\n0,0,4,12,10,3,0,0,0,0,9,16,16,5,0,0,0,0,10,16,16,3,0,0,0,0,12,16,16,3,0,0,0,0,4,16,15,2,0,0,0,0,7,16,16,4,0,0,0,0,8,16,16,6,0,0,0,0,6,12,9,4,0,0,1\n0,0,5,14,0,0,0,0,0,0,12,14,0,0,0,0,0,0,15,12,0,0,0,0,0,1,16,9,5,2,0,0,0,5,16,16,16,15,2,0,0,7,16,15,10,16,9,0,0,1,15,13,13,16,5,0,0,0,5,13,13,9,0,0,6\n0,0,8,15,12,2,0,0,0,4,16,13,11,12,1,0,0,9,14,1,13,15,2,0,0,9,15,0,14,15,0,0,0,2,15,16,16,16,0,0,0,0,1,4,4,16,4,0,0,0,4,8,4,16,5,0,0,0,5,14,16,15,5,0,9\n0,1,12,15,16,9,0,0,0,2,16,16,12,9,0,0,0,6,14,1,0,0,0,0,0,7,15,5,1,0,0,0,0,7,16,16,12,0,0,0,0,0,4,4,15,4,0,0,0,0,8,5,16,6,0,0,0,0,13,16,12,1,0,0,5\n0,0,15,14,14,15,10,0,0,0,16,8,11,10,6,0,0,5,14,0,0,0,0,0,0,8,16,16,16,4,0,0,0,4,14,9,12,12,0,0,0,0,0,0,5,15,0,0,0,0,11,4,11,9,0,0,0,0,14,16,14,1,0,0,5\n0,2,14,12,16,13,1,0,0,4,16,15,4,10,7,0,0,2,16,5,2,14,2,0,0,0,9,12,14,6,0,0,0,0,2,16,11,0,0,0,0,0,11,13,12,0,0,0,0,2,13,0,15,0,0,0,0,2,14,15,10,0,0,0,8\n0,0,0,2,16,6,0,0,0,0,0,6,16,2,0,0,0,0,0,13,13,0,0,0,0,0,6,16,4,9,4,0,0,3,15,10,4,16,6,0,2,15,16,16,14,16,5,0,1,8,13,16,16,15,0,0,0,0,0,2,16,9,0,0,4\n0,0,0,7,15,6,0,0,0,0,10,13,14,13,0,0,0,2,13,0,12,6,0,0,0,0,2,3,12,1,0,0,0,0,1,15,3,0,0,0,0,2,13,8,0,0,0,0,0,10,16,14,12,8,0,0,0,2,4,7,9,14,0,0,2\n0,1,8,15,16,11,1,0,0,5,16,13,10,13,7,0,0,4,13,0,0,9,8,0,0,1,13,8,6,15,4,0,0,0,2,15,16,9,0,0,0,0,8,14,15,8,0,0,0,0,14,8,9,14,0,0,0,0,11,16,14,8,0,0,8\n0,0,6,9,16,10,1,0,0,2,15,15,9,15,8,0,0,6,16,1,0,12,8,0,0,0,14,13,14,12,2,0,0,0,4,16,15,1,0,0,0,0,11,11,16,3,0,0,0,2,16,8,13,14,0,0,0,0,8,16,12,10,0,0,8\n0,0,9,16,13,2,0,0,0,3,16,9,12,12,0,0,0,4,16,0,0,16,0,0,0,1,8,0,2,16,0,0,0,0,0,0,5,13,0,0,0,0,0,1,11,9,0,0,0,0,4,11,16,10,7,0,0,0,9,12,8,9,13,0,2\n0,0,5,14,16,14,1,0,0,2,15,4,7,16,1,0,0,0,5,0,12,12,0,0,0,0,0,6,16,3,0,0,0,0,0,0,7,15,1,0,0,0,0,0,2,16,2,0,0,0,1,4,8,16,4,0,0,0,8,15,13,8,0,0,3\n0,0,7,15,13,3,0,0,0,0,16,16,16,16,1,0,0,5,15,7,7,16,5,0,0,8,12,0,0,15,5,0,0,6,16,0,0,13,7,0,0,5,16,1,2,16,4,0,0,3,16,9,14,15,0,0,0,0,9,13,12,3,0,0,0\n0,0,0,7,12,7,0,0,0,0,13,13,13,12,0,0,0,3,12,0,9,9,0,0,0,0,0,7,16,9,0,0,0,0,0,2,8,16,0,0,0,0,0,0,1,15,3,0,0,0,0,12,9,15,0,0,0,0,1,12,15,5,0,0,3\n0,0,7,14,0,0,0,0,0,0,12,15,0,0,0,0,0,0,16,9,0,0,0,0,0,1,15,7,2,0,0,0,0,1,16,16,15,10,2,0,0,3,16,12,4,14,12,0,0,0,12,10,1,14,9,0,0,0,5,16,16,11,3,0,6\n0,0,9,15,16,10,0,0,0,0,16,16,16,16,4,0,0,0,14,11,14,16,2,0,0,0,7,16,16,7,0,0,0,0,10,16,11,0,0,0,0,2,16,15,14,1,0,0,0,4,16,14,16,4,0,0,0,0,9,15,13,1,0,0,8\n0,1,14,16,16,12,1,0,0,0,13,8,4,4,0,0,0,0,12,4,0,0,0,0,0,0,8,16,16,9,0,0,0,0,4,7,5,14,0,0,0,0,0,0,0,13,0,0,0,0,5,0,3,15,0,0,0,2,14,16,14,7,0,0,5\n0,0,0,13,7,0,0,0,0,5,14,16,16,8,0,0,0,12,10,0,6,16,0,0,0,2,14,12,5,16,3,0,0,0,0,11,16,11,0,0,0,0,2,15,9,16,5,0,0,0,10,14,4,13,12,0,0,0,1,9,14,16,11,0,8\n0,0,7,12,14,6,0,0,0,7,16,14,14,6,0,0,0,5,16,10,3,0,0,0,0,6,16,16,16,6,0,0,0,3,7,4,10,14,0,0,0,0,0,0,10,15,1,0,0,0,2,15,16,8,0,0,0,0,5,16,9,0,0,0,5\n0,0,5,15,2,0,0,0,0,0,15,16,16,13,2,0,0,4,16,16,14,16,8,0,0,7,12,0,0,8,8,0,0,4,12,0,0,8,8,0,0,4,15,0,0,9,7,0,0,1,15,5,7,15,4,0,0,0,5,13,12,7,0,0,0\n0,0,2,12,14,5,0,0,0,2,15,6,8,14,6,0,0,5,9,0,5,16,4,0,0,5,9,4,15,12,0,0,0,0,14,13,16,5,0,0,0,0,0,4,12,0,0,0,0,0,0,11,5,0,0,0,0,0,2,15,4,0,0,0,9\n0,0,0,12,15,0,0,0,0,0,5,16,9,0,0,0,0,3,14,10,0,1,0,0,0,10,14,1,4,15,9,0,0,11,15,15,16,16,4,0,0,1,8,10,16,12,0,0,0,0,0,8,16,3,0,0,0,0,0,11,16,0,0,0,4\n0,6,16,16,13,3,0,0,0,12,16,12,15,16,5,0,0,10,14,1,0,4,1,0,0,2,15,8,0,0,0,0,0,0,7,16,2,0,0,0,0,0,2,15,9,0,0,0,0,1,5,15,10,0,0,0,0,7,16,15,1,0,0,0,5\n0,0,11,16,9,0,0,0,0,9,12,6,14,10,0,0,0,11,5,0,13,13,0,0,0,1,11,14,12,15,6,0,0,0,0,0,0,12,8,0,0,0,0,0,0,10,10,0,0,0,1,0,4,13,6,0,0,0,9,14,16,10,0,0,9\n0,0,12,16,16,10,0,0,0,0,15,13,13,16,1,0,0,0,3,14,16,14,1,0,0,0,0,15,14,2,0,0,0,0,0,7,16,5,0,0,0,0,0,0,9,16,2,0,0,0,6,5,11,16,8,0,0,0,10,16,16,15,3,0,3\n0,0,0,4,13,13,0,0,0,0,3,16,14,3,0,0,0,1,15,11,1,1,0,0,0,10,15,0,0,11,9,0,0,7,15,9,9,16,6,0,0,0,4,8,16,15,1,0,0,0,0,2,16,7,0,0,0,0,0,3,16,1,0,0,4\n0,2,13,16,15,7,0,0,0,10,16,15,6,14,3,0,0,8,16,1,0,0,0,0,0,3,14,8,0,0,0,0,0,0,4,15,4,0,0,0,0,0,0,5,16,0,0,0,0,0,5,9,16,3,0,0,0,1,15,16,10,0,0,0,5\n0,0,1,12,9,0,0,0,0,0,7,16,5,0,0,0,0,0,10,9,0,0,0,0,0,0,15,11,11,1,0,0,0,0,13,16,14,14,1,0,0,0,10,13,0,12,5,0,0,0,4,13,2,16,3,0,0,0,0,11,16,8,0,0,6\n0,0,3,16,8,1,0,0,0,0,4,16,16,2,0,0,0,7,16,16,16,0,0,0,0,9,10,15,14,0,0,0,0,0,1,16,13,0,0,0,0,0,0,16,11,0,0,0,0,0,3,16,13,0,0,0,0,0,1,13,15,0,0,0,1\n0,0,8,16,16,12,0,0,0,3,16,9,11,16,3,0,0,4,7,0,8,14,1,0,0,0,5,8,14,12,1,0,0,5,16,16,16,16,10,0,0,6,5,9,11,0,0,0,0,0,4,16,3,0,0,0,0,0,11,8,0,0,0,0,7\n0,2,12,15,16,14,2,0,0,6,16,15,11,12,5,0,0,4,16,2,0,0,0,0,0,1,13,5,0,0,0,0,0,0,11,8,0,0,0,0,0,0,5,16,0,0,0,0,0,2,12,14,0,0,0,0,0,2,16,10,0,0,0,0,5\n0,1,6,12,15,4,0,0,0,6,16,12,12,16,3,0,0,12,8,0,5,16,2,0,0,1,2,0,12,13,0,0,0,0,0,6,16,2,0,0,0,0,0,16,9,0,0,0,0,0,7,16,8,8,7,0,0,0,3,11,12,12,7,0,2\n0,0,7,16,6,5,0,0,0,0,16,12,9,14,1,0,0,4,15,0,0,16,2,0,0,4,14,0,0,15,3,0,0,5,12,0,3,14,0,0,0,3,16,0,6,10,0,0,0,1,15,6,16,3,0,0,0,0,8,15,8,0,0,0,0\n0,0,0,10,12,0,0,0,0,0,3,16,9,0,0,0,0,0,8,12,0,0,0,0,0,0,10,10,1,0,0,0,0,0,12,16,16,15,3,0,0,0,10,15,4,8,16,1,0,0,6,14,0,9,15,0,0,0,1,10,16,15,4,0,6\n0,3,15,16,16,15,1,0,0,14,13,7,8,16,8,0,0,2,1,0,8,16,7,0,0,0,0,7,16,10,0,0,0,0,0,14,13,0,0,0,0,0,0,10,14,2,0,0,0,2,8,5,16,8,0,0,0,2,16,16,13,3,0,0,3\n0,1,10,16,16,13,0,0,0,6,15,6,9,16,3,0,0,3,5,0,8,16,3,0,0,0,1,10,16,14,3,0,0,0,6,16,16,9,8,0,0,0,0,15,9,0,0,0,0,0,6,15,1,0,0,0,0,0,14,5,0,0,0,0,7\n0,3,15,14,5,1,0,0,0,12,16,16,16,16,5,0,0,9,16,15,7,8,3,0,0,1,13,13,0,0,0,0,0,0,6,16,5,0,0,0,0,0,1,15,11,0,0,0,0,0,7,16,10,0,0,0,0,2,16,13,1,0,0,0,5\n0,0,0,13,3,0,0,0,0,0,5,16,7,0,0,0,0,0,9,14,0,0,0,0,0,0,10,14,8,3,0,0,0,0,15,15,12,14,6,0,0,0,15,9,0,4,15,1,0,0,7,14,2,9,16,0,0,0,1,11,15,14,6,0,6\n0,0,0,10,11,0,0,0,0,0,2,16,7,0,0,0,0,0,7,12,0,0,0,0,0,0,10,10,0,0,0,0,0,0,10,16,16,9,0,0,0,0,10,14,2,14,3,0,0,0,6,14,1,14,5,0,0,0,0,7,16,15,1,0,6\n0,0,8,16,15,5,0,0,0,0,14,16,11,15,0,0,0,0,16,2,0,8,4,0,0,2,12,0,0,8,6,0,0,3,11,0,0,11,5,0,0,3,12,0,2,15,1,0,0,1,15,2,14,8,0,0,0,0,7,15,12,0,0,0,0\n0,0,1,16,14,0,0,0,0,0,3,16,16,1,0,0,0,0,1,15,16,4,0,0,0,0,0,14,16,6,0,0,0,0,2,16,16,2,0,0,0,0,1,16,16,1,0,0,0,0,3,16,16,0,0,0,0,0,2,15,16,4,0,0,1\n0,0,6,15,13,3,0,0,0,5,15,6,13,15,3,0,0,10,11,0,13,16,5,0,0,4,15,14,16,15,1,0,0,0,0,1,12,9,0,0,0,0,0,8,15,1,0,0,0,0,1,14,8,0,0,0,0,0,6,15,0,0,0,0,9\n0,0,6,15,11,2,0,0,0,1,16,10,14,16,3,0,0,4,11,0,14,16,3,0,0,3,15,16,12,15,5,0,0,0,1,2,0,12,7,0,0,0,0,0,1,13,6,0,0,0,1,5,13,12,0,0,0,0,8,12,6,0,0,0,9\n0,4,16,16,12,1,0,0,0,8,14,5,15,6,0,0,0,3,5,0,13,8,0,0,0,0,0,3,15,7,0,0,0,0,1,13,13,0,0,0,0,0,11,15,2,0,0,0,0,6,16,9,4,4,1,0,0,4,15,16,16,16,15,1,2\n0,2,14,16,13,1,0,0,0,10,14,10,15,8,0,0,0,5,2,0,12,12,0,0,0,0,0,4,16,6,0,0,0,0,1,15,10,0,0,0,0,0,11,14,1,0,0,0,0,4,16,8,1,0,0,0,0,2,15,16,16,16,8,0,2\n0,1,9,12,15,14,4,0,0,6,14,4,4,14,8,0,0,3,8,0,7,15,2,0,0,0,0,6,14,2,0,0,0,0,0,8,11,0,0,0,0,0,0,1,15,2,0,0,0,0,5,0,12,9,0,0,0,0,11,16,14,3,0,0,3\n0,0,14,11,7,1,0,0,0,2,16,16,16,14,4,0,0,0,15,11,0,6,3,0,0,0,7,14,0,0,0,0,0,0,2,16,4,0,0,0,0,0,1,12,12,0,0,0,0,4,12,14,11,0,0,0,0,0,14,16,6,0,0,0,5\n0,0,15,2,0,0,0,0,0,5,16,15,11,5,0,0,0,7,16,15,12,13,4,0,0,1,15,7,0,0,0,0,0,0,5,16,5,0,0,0,0,0,0,10,14,0,0,0,0,0,1,12,15,0,0,0,0,0,11,16,6,0,0,0,5\n0,0,8,9,15,11,0,0,0,9,15,15,4,15,2,0,0,8,9,0,8,12,0,0,0,2,14,11,14,2,0,0,0,0,11,16,7,0,0,0,0,0,14,2,13,6,0,0,0,2,12,1,8,12,0,0,0,0,8,16,14,5,0,0,8\n0,0,6,15,8,0,0,0,0,2,15,7,16,5,0,0,0,6,11,1,10,14,2,0,0,7,7,0,0,10,6,0,0,7,5,0,0,8,8,0,0,4,10,0,0,10,7,0,0,0,12,8,4,15,2,0,0,0,2,12,12,8,0,0,0\n0,4,15,16,16,12,1,0,0,15,13,5,5,16,8,0,0,7,3,0,10,16,4,0,0,0,1,11,16,10,0,0,0,0,7,16,10,0,0,0,0,0,1,7,16,6,0,0,0,3,8,6,16,10,0,0,0,5,16,16,12,1,0,0,3\n0,0,8,16,16,15,0,0,0,3,16,9,8,16,4,0,0,9,8,0,6,16,2,0,0,1,8,13,16,16,5,0,0,0,15,12,16,13,8,0,0,0,0,9,15,1,0,0,0,0,2,16,4,0,0,0,0,0,11,11,0,0,0,0,7\n0,0,0,5,16,5,0,0,0,0,6,15,16,9,0,0,3,16,16,16,16,3,0,0,0,9,11,13,16,3,0,0,0,0,0,14,14,0,0,0,0,0,0,14,13,0,0,0,0,0,0,11,14,0,0,0,0,0,0,4,15,4,0,0,1\n0,0,6,15,16,5,0,0,0,5,16,13,15,11,0,0,0,10,12,1,16,9,0,0,0,3,3,9,16,2,0,0,0,0,4,16,7,0,0,0,0,0,11,13,0,0,0,0,0,0,12,14,8,8,2,0,0,0,5,16,16,16,11,0,2\n0,0,0,13,11,0,0,0,0,0,6,16,6,0,0,0,0,0,15,13,0,5,1,0,0,6,16,6,4,16,9,0,0,11,16,5,13,16,2,0,0,1,11,16,16,9,0,0,0,0,0,11,15,2,0,0,0,0,0,12,13,0,0,0,4\n0,0,9,13,15,10,0,0,0,2,15,5,6,16,6,0,0,0,3,0,2,16,6,0,0,0,0,0,11,13,0,0,0,0,0,8,14,1,0,0,0,0,5,15,3,0,0,0,0,0,12,6,0,0,0,0,0,0,8,16,16,12,0,0,2\n0,0,6,13,16,11,1,0,0,4,15,6,9,16,5,0,0,6,9,0,7,16,6,0,0,3,15,12,15,15,8,0,0,0,2,5,2,10,8,0,0,0,0,0,0,13,7,0,0,2,9,4,8,15,2,0,0,0,10,13,12,2,0,0,9\n0,0,0,1,15,9,0,0,0,0,0,9,16,11,0,0,0,4,8,16,16,6,0,0,0,15,16,16,16,4,0,0,0,5,9,4,16,4,0,0,0,0,0,5,16,2,0,0,0,0,0,4,16,5,0,0,0,0,0,2,14,9,0,0,1\n0,0,6,13,6,0,0,0,0,0,10,16,14,6,0,0,0,0,14,9,3,16,1,0,0,0,15,2,0,15,5,0,0,0,14,2,0,15,1,0,0,0,12,4,5,15,0,0,0,0,10,9,15,8,0,0,0,0,5,14,10,0,0,0,0\n0,0,9,13,10,1,0,0,0,7,14,4,15,8,0,0,0,10,8,0,10,14,0,0,0,4,14,12,14,15,4,0,0,0,2,4,2,12,6,0,0,0,0,0,1,15,5,0,0,0,0,4,10,15,1,0,0,0,9,12,9,2,0,0,9\n0,0,0,5,16,4,0,0,0,0,0,13,15,1,0,0,0,0,10,16,3,2,0,0,0,5,16,9,0,13,10,0,0,12,16,6,6,16,6,0,0,1,15,16,16,16,1,0,0,0,0,4,16,11,0,0,0,0,0,4,16,11,0,0,4\n0,0,4,13,16,8,0,0,0,5,16,8,10,12,0,0,0,8,9,0,8,12,0,0,0,0,0,2,11,10,2,0,0,0,3,16,16,16,9,0,0,0,0,9,14,0,0,0,0,0,0,13,7,0,0,0,0,0,5,15,2,0,0,0,7\n0,0,2,13,3,0,0,0,0,0,11,15,4,0,0,0,0,0,11,8,0,0,0,0,0,0,14,5,0,0,0,0,0,0,16,13,16,14,4,0,0,0,15,15,9,13,12,0,0,0,13,11,2,15,9,0,0,0,2,14,15,11,1,0,6\n0,0,0,8,16,2,0,0,0,0,8,16,9,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0,0,0,0,0,3,16,14,0,0,0,0,0,4,16,14,0,0,0,0,0,2,15,10,0,0,0,1\n0,0,0,9,16,10,0,0,0,0,3,15,12,15,4,0,0,1,12,14,1,15,11,0,0,8,16,12,14,16,7,0,0,7,16,16,16,12,0,0,0,0,7,8,16,5,0,0,0,0,0,8,13,0,0,0,0,0,0,9,11,0,0,0,9\n0,4,16,16,16,14,3,0,0,1,8,8,8,15,10,0,0,0,0,0,5,16,6,0,0,0,0,0,13,12,0,0,0,8,16,16,16,15,8,0,0,3,11,16,9,8,3,0,0,0,14,12,0,0,0,0,0,5,16,2,0,0,0,0,7\n0,0,15,7,0,2,11,1,0,3,16,6,1,12,13,2,0,4,16,5,8,15,3,0,0,2,16,16,16,13,0,0,0,0,4,14,15,3,0,0,0,0,7,16,3,0,0,0,0,1,13,10,0,0,0,0,0,1,16,3,0,0,0,0,4\n0,0,3,13,15,6,0,0,0,2,11,15,7,16,3,0,0,16,16,9,8,16,6,0,0,9,16,16,16,16,5,0,0,0,4,8,16,11,0,0,0,0,0,9,16,1,0,0,0,0,0,14,11,0,0,0,0,0,1,16,7,0,0,0,9\n0,0,0,3,15,16,3,0,0,0,0,12,10,15,3,0,0,0,0,2,6,14,0,0,0,0,0,1,15,5,0,0,0,0,1,13,9,0,0,0,0,1,12,12,1,0,0,0,0,9,16,16,16,13,5,0,0,2,4,5,10,13,12,0,2\n0,0,1,11,13,0,0,0,0,0,7,16,8,1,0,0,0,0,15,12,0,0,0,0,0,1,15,7,0,0,0,0,0,0,15,7,4,5,1,0,0,0,15,16,16,16,13,1,0,0,10,16,9,8,16,6,0,0,1,9,14,16,13,2,6\n0,0,4,13,15,4,0,0,0,0,11,13,8,13,0,0,0,0,5,2,4,13,0,0,0,0,0,0,12,7,0,0,0,0,0,6,15,2,0,0,0,0,0,15,5,0,0,0,0,0,9,14,6,11,5,0,0,0,9,16,12,12,10,0,2\n0,0,3,15,16,6,0,0,0,0,6,11,11,16,5,0,0,0,0,0,7,16,7,0,0,0,0,0,13,16,2,0,0,9,13,13,16,12,2,0,0,2,12,14,16,16,15,0,0,0,0,15,13,0,0,0,0,0,3,16,8,0,0,0,7\n0,2,16,16,16,10,0,0,0,0,11,8,12,16,2,0,0,0,0,0,14,13,0,0,0,2,9,12,16,4,0,0,0,11,16,16,16,16,8,0,0,0,10,14,1,4,0,0,0,2,16,7,0,0,0,0,0,2,15,6,0,0,0,0,7\n0,0,0,14,15,4,0,0,0,0,7,16,14,2,0,0,0,0,14,13,1,0,0,0,0,0,3,7,0,0,0,0,0,3,16,6,8,3,0,0,0,2,15,16,16,15,3,0,0,0,9,16,15,15,11,0,0,0,0,10,16,16,11,0,6\n0,1,10,16,11,0,0,0,0,8,16,12,16,3,0,0,0,1,12,3,16,4,0,0,0,0,0,6,15,0,0,0,0,0,0,11,13,0,0,0,0,0,3,16,7,0,0,0,0,0,11,16,16,16,14,5,0,0,11,13,9,12,15,11,2\n0,1,15,8,0,1,2,0,0,8,16,8,0,12,15,0,0,7,16,11,10,16,7,0,0,2,15,16,16,16,2,0,0,0,2,12,16,9,0,0,0,0,1,16,12,0,0,0,0,0,10,15,1,0,0,0,0,0,12,11,0,0,0,0,4\n0,0,0,11,13,0,0,0,0,0,4,16,8,1,0,0,0,0,13,10,0,0,0,0,0,0,15,5,0,0,0,0,0,1,16,3,4,2,0,0,0,0,13,16,15,14,7,0,0,0,7,16,7,4,16,1,0,0,0,9,16,16,11,0,6\n0,0,1,11,16,15,3,0,0,1,13,13,5,13,8,0,0,6,16,8,2,15,8,0,0,10,16,16,16,16,7,0,0,1,1,6,15,14,1,0,0,0,0,3,16,5,0,0,0,0,0,9,14,0,0,0,0,0,1,15,7,0,0,0,9\n0,4,14,16,16,12,2,0,0,10,16,10,8,14,7,0,0,10,12,0,0,0,0,0,0,2,16,7,0,0,0,0,0,0,15,11,0,0,0,0,0,0,9,15,3,0,0,0,0,1,12,16,4,0,0,0,0,5,16,15,1,0,0,0,5\n0,0,6,10,12,4,0,0,0,2,15,10,8,9,0,0,0,0,6,0,3,12,0,0,0,0,0,0,8,7,0,0,0,0,0,6,14,1,0,0,0,0,4,14,6,0,0,0,0,1,16,11,7,11,8,0,0,0,13,16,13,12,12,0,2\n0,0,1,11,6,0,0,0,0,0,7,13,2,0,0,0,0,0,13,6,0,0,0,0,0,1,13,1,0,0,0,0,0,1,12,0,4,3,0,0,0,1,11,11,14,14,10,0,0,0,12,15,5,4,15,3,0,0,1,13,16,12,9,1,6\n0,0,5,13,11,2,0,0,0,2,14,15,15,12,0,0,0,2,16,5,0,7,4,0,0,4,16,3,0,3,6,0,0,3,14,0,0,8,7,0,0,2,16,0,2,14,6,0,0,1,15,15,16,11,0,0,0,0,7,14,10,1,0,0,0\n0,0,0,10,12,0,0,0,0,0,4,16,7,1,0,0,0,0,11,8,0,0,0,0,0,0,12,5,0,0,0,0,0,0,14,2,3,4,1,0,0,0,11,10,16,13,13,0,0,0,7,16,7,0,11,5,0,0,0,8,15,16,13,1,6\n0,1,7,11,15,11,1,0,0,4,9,4,0,13,5,0,0,0,0,0,9,15,1,0,0,0,4,15,11,3,0,0,0,0,3,16,8,2,0,0,0,0,0,2,7,16,6,0,0,0,0,6,9,16,5,0,0,0,13,12,7,3,0,0,3\n0,0,1,16,14,2,0,0,0,0,4,16,16,8,0,0,0,0,7,16,16,3,0,0,0,0,10,16,16,3,0,0,0,0,13,16,12,0,0,0,0,0,15,16,12,0,0,0,0,0,11,16,11,0,0,0,0,0,3,15,16,9,0,0,1\n0,0,0,2,9,15,9,0,0,0,8,14,7,9,12,0,0,3,16,5,4,13,6,0,0,2,10,12,15,14,0,0,0,0,0,0,1,13,3,0,0,0,0,0,2,16,0,0,0,0,0,0,7,12,0,0,0,0,0,0,12,6,0,0,9\n0,3,12,16,16,14,0,0,0,13,16,14,8,5,0,0,0,10,10,0,0,0,0,0,0,5,15,3,0,0,0,0,0,0,14,9,0,0,0,0,0,0,7,14,1,0,0,0,0,0,10,16,4,0,0,0,0,0,15,15,2,0,0,0,5\n0,0,4,11,14,12,0,0,0,4,16,9,5,16,1,0,0,11,8,0,6,13,0,0,0,5,6,1,13,5,0,0,0,0,0,11,9,0,0,0,0,0,4,16,1,0,0,0,0,0,10,9,0,0,1,0,0,0,3,16,16,14,6,0,2\n0,2,12,16,15,8,0,0,0,2,7,4,10,16,2,0,0,0,0,3,16,13,0,0,0,0,0,15,15,1,0,0,0,0,0,10,13,0,0,0,0,0,0,0,14,10,1,0,0,0,1,5,10,16,4,0,0,1,13,13,12,8,0,0,3\n0,0,1,11,8,0,0,0,0,0,8,15,3,0,0,0,0,1,15,4,0,0,0,0,0,4,16,8,15,14,3,0,0,4,14,11,7,5,10,0,0,1,13,0,0,1,13,0,0,0,11,5,0,9,13,0,0,0,2,11,16,12,1,0,6\n0,0,0,10,15,4,0,0,0,0,6,16,10,1,0,0,0,0,11,15,1,0,0,0,0,0,16,10,6,3,0,0,0,4,16,16,16,16,7,0,0,0,15,16,11,6,16,1,0,0,11,13,2,4,16,4,0,0,0,10,16,16,13,1,6\n0,0,5,14,16,14,0,0,0,7,16,15,8,8,0,0,0,14,13,0,0,0,0,0,0,13,16,13,3,0,0,0,0,0,5,11,15,1,0,0,0,0,0,0,16,9,0,0,0,0,5,11,16,8,0,0,0,0,11,16,10,1,0,0,5\n0,0,0,5,15,0,0,0,0,0,0,11,10,3,8,0,0,0,6,15,1,13,9,0,0,3,16,8,9,16,5,0,0,12,16,15,15,13,8,0,0,3,4,0,16,2,0,0,0,0,0,4,11,0,0,0,0,0,0,6,11,0,0,0,4\n0,0,5,14,16,8,0,0,0,6,15,10,12,16,1,0,0,9,5,0,13,8,0,0,0,6,15,13,15,1,0,0,0,0,11,16,4,0,0,0,0,0,15,16,7,0,0,0,0,0,16,13,14,0,0,0,0,0,5,16,15,4,0,0,8\n0,2,16,16,15,3,0,0,0,0,3,3,14,8,0,0,0,0,0,3,16,2,0,0,0,0,0,10,14,0,0,0,0,3,16,16,16,16,8,0,0,0,11,15,4,4,1,0,0,0,14,6,0,0,0,0,0,3,16,3,0,0,0,0,7\n0,1,10,16,16,14,6,0,0,11,16,7,4,16,10,0,0,9,16,10,10,16,4,0,0,0,5,12,16,3,0,0,0,0,0,7,16,0,0,0,0,0,0,13,15,0,0,0,0,0,6,16,7,0,0,0,0,2,15,10,0,0,0,0,9\n0,1,9,16,16,14,2,0,0,11,16,7,5,16,6,0,0,16,14,10,16,16,4,0,0,4,8,10,16,13,0,0,0,0,1,13,13,1,0,0,0,0,6,16,6,0,0,0,0,0,12,10,0,0,0,0,0,0,11,11,0,0,0,0,9\n0,0,5,14,13,2,0,0,0,3,14,5,8,12,0,0,0,3,9,0,12,4,0,0,0,1,14,9,13,0,0,0,0,0,2,14,12,0,0,0,0,0,4,14,14,3,0,0,0,0,10,7,12,6,0,0,0,0,6,16,13,1,0,0,8\n0,0,0,12,8,0,6,3,0,0,4,16,3,3,15,3,0,0,12,10,0,12,8,0,0,8,15,5,8,16,4,0,0,10,16,16,16,16,10,0,0,0,4,5,15,1,0,0,0,0,0,8,11,0,0,0,0,0,0,12,6,0,0,0,4\n0,3,13,16,4,0,0,0,0,7,14,16,8,0,0,0,0,0,1,16,7,0,0,0,0,0,9,15,1,0,0,0,0,1,16,8,0,0,0,0,0,7,16,1,0,0,0,0,0,9,16,4,4,4,4,0,0,4,16,16,16,16,8,0,2\n0,0,2,16,15,7,0,0,0,0,3,12,13,13,0,0,0,0,0,6,16,10,0,0,0,0,0,6,16,3,0,0,0,0,3,15,10,12,0,0,0,1,13,5,0,13,6,0,0,0,16,5,0,7,15,0,0,0,3,11,16,16,12,2,8\n0,0,9,13,16,9,0,0,0,0,4,5,11,15,0,0,0,0,0,6,15,8,0,0,0,0,0,13,10,0,0,0,0,0,0,8,12,1,0,0,0,0,0,0,9,14,2,0,0,0,0,3,12,16,4,0,0,0,11,16,11,3,0,0,3\n0,0,2,13,9,1,0,0,0,1,13,7,15,5,0,0,1,15,9,0,15,2,0,0,0,6,13,7,13,0,0,0,0,0,5,16,8,0,0,0,0,0,1,15,14,2,0,0,0,0,4,12,6,11,0,0,0,0,0,11,16,8,0,0,8\n0,0,2,13,6,0,4,0,0,0,13,11,0,2,15,3,0,4,16,2,0,13,8,0,0,3,16,16,12,16,7,0,0,0,2,7,15,10,1,0,0,0,0,4,13,0,0,0,0,0,0,13,5,0,0,0,0,0,2,12,0,0,0,0,4\n0,4,12,14,12,6,0,0,0,2,4,4,5,16,6,0,0,0,0,0,6,16,4,0,0,0,0,5,16,6,0,0,0,0,0,5,16,3,0,0,0,0,0,0,11,13,0,0,0,0,0,5,13,16,0,0,0,5,16,12,11,1,0,0,3\n0,7,16,16,16,9,0,0,0,3,8,4,13,16,0,0,0,0,0,8,16,6,0,0,0,0,0,4,16,4,0,0,0,0,0,0,11,15,5,0,0,0,0,0,1,13,15,0,0,0,5,9,15,16,10,0,0,4,16,16,10,3,0,0,3\n0,0,1,14,11,0,0,0,0,0,12,13,1,0,0,0,0,5,16,3,0,7,15,1,0,6,16,11,12,16,10,0,0,0,11,14,16,11,0,0,0,0,0,7,15,2,0,0,0,0,0,15,12,0,0,0,0,0,1,15,7,0,0,0,4\n0,0,11,16,15,3,0,0,0,0,2,4,16,7,0,0,0,0,0,4,16,3,0,0,0,2,4,10,14,4,2,0,0,9,16,16,16,16,8,0,0,0,7,15,2,0,0,0,0,0,10,9,0,0,0,0,0,0,12,7,0,0,0,0,7\n0,0,7,15,15,3,0,0,0,0,10,14,12,14,0,0,0,0,1,6,16,12,0,0,0,0,1,15,14,3,0,0,0,0,0,9,15,5,0,0,0,0,0,0,5,15,6,0,0,0,7,6,7,13,16,1,0,0,7,16,16,15,8,0,3\n0,0,1,14,6,0,0,0,0,0,6,15,3,0,0,0,0,1,14,7,0,0,0,0,0,0,16,9,8,3,0,0,0,7,16,16,12,15,3,0,0,5,14,7,0,4,9,0,0,3,15,6,1,12,9,0,0,0,4,13,16,14,3,0,6\n0,0,2,13,14,2,0,0,0,0,10,16,13,4,0,0,0,0,13,15,1,0,0,0,0,1,16,9,0,0,0,0,0,1,16,15,12,2,0,0,0,1,15,16,11,13,0,0,0,0,11,12,8,16,1,0,0,0,2,13,16,15,0,0,6\n0,0,0,10,14,0,3,1,0,0,5,16,6,1,14,5,0,2,15,8,3,10,13,0,0,8,16,14,16,16,8,0,0,5,11,6,15,13,3,0,0,0,0,1,15,0,0,0,0,0,0,7,10,0,0,0,0,0,0,13,3,0,0,0,4\n0,1,8,16,16,11,0,0,0,2,10,6,12,12,0,0,0,0,0,0,11,11,0,0,0,0,0,4,16,8,3,0,0,3,15,16,16,16,11,0,0,4,10,16,6,6,2,0,0,0,9,13,0,0,0,0,0,1,14,7,0,0,0,0,7\n0,0,0,12,14,2,0,0,0,0,6,15,16,4,0,0,0,0,13,16,12,0,0,0,0,1,14,16,8,0,0,0,0,1,15,16,2,0,0,0,0,1,15,16,4,0,0,0,0,0,10,16,11,4,0,0,0,0,0,11,13,5,0,0,1\n0,0,9,16,13,3,0,0,0,2,16,16,16,12,0,0,0,0,0,6,16,7,0,0,0,0,1,15,12,0,0,0,0,0,13,15,2,0,0,0,0,4,16,7,0,0,0,0,0,8,16,8,6,8,3,0,0,1,11,16,16,12,4,0,2\n0,0,10,16,16,9,0,0,0,4,13,5,9,12,0,0,0,0,0,1,13,5,0,0,0,0,5,13,16,16,9,0,0,0,11,16,11,11,9,0,0,0,1,13,3,0,0,0,0,0,8,10,0,0,0,0,0,0,11,8,0,0,0,0,7\n0,0,1,12,16,3,0,0,0,0,8,8,4,0,0,0,0,0,14,1,0,0,0,0,0,2,16,9,8,6,1,0,0,4,16,14,11,12,6,0,0,2,16,4,1,7,11,0,0,0,11,11,5,13,9,0,0,0,0,10,13,10,3,0,6\n0,0,5,16,16,6,0,0,0,0,16,9,11,13,0,0,0,0,11,11,14,8,0,0,0,0,1,15,12,1,0,0,0,0,3,16,15,4,0,0,0,0,12,10,7,13,1,0,0,0,15,4,3,16,6,0,0,0,8,16,16,13,1,0,8\n0,0,1,11,16,15,2,0,0,2,14,15,11,16,6,0,0,11,14,2,8,15,1,0,0,8,16,12,16,16,9,0,0,0,3,7,9,16,8,0,0,0,0,0,13,15,1,0,0,0,0,7,16,4,0,0,0,0,0,11,13,0,0,0,9\n0,0,3,11,15,15,4,0,0,2,14,8,4,15,5,0,0,7,11,1,13,15,1,0,0,1,11,12,13,16,5,0,0,0,0,0,8,12,0,0,0,0,0,3,15,2,0,0,0,0,0,11,7,0,0,0,0,0,0,13,4,0,0,0,9\n0,0,1,8,15,16,7,0,0,1,13,14,9,16,8,0,0,8,16,5,11,15,2,0,0,5,16,16,16,10,1,0,0,0,1,4,10,16,9,0,0,0,0,0,3,16,7,0,0,0,0,3,14,14,1,0,0,0,0,11,15,3,0,0,9\n0,2,12,16,16,9,0,0,0,2,15,10,7,16,4,0,0,0,0,0,5,16,6,0,0,0,0,6,16,13,0,0,0,0,0,5,13,16,6,0,0,0,0,0,0,9,16,0,0,0,6,4,5,12,16,2,0,2,13,16,16,16,10,0,3\n0,0,5,16,14,1,0,0,0,0,13,10,9,10,0,0,0,1,16,4,0,16,0,0,0,3,16,7,0,13,6,0,0,5,12,0,0,13,8,0,0,4,16,0,0,14,5,0,0,0,15,13,14,12,0,0,0,0,5,14,10,4,0,0,0\n0,0,0,9,12,0,0,0,0,0,5,16,6,0,0,0,0,0,10,11,0,0,0,0,0,0,12,8,4,0,0,0,0,0,13,16,15,11,1,0,0,0,13,14,1,6,6,0,0,0,5,12,1,11,6,0,0,0,0,9,15,10,0,0,6\n0,1,12,16,16,8,0,0,0,1,8,5,9,12,0,0,0,0,0,0,11,8,0,0,0,0,5,14,14,10,5,0,0,0,3,15,14,12,5,0,0,0,2,16,3,0,0,0,0,0,10,9,0,0,0,0,0,0,13,2,0,0,0,0,7\n0,0,1,14,13,0,0,0,0,0,6,16,8,0,0,0,0,0,12,9,0,0,0,0,0,0,14,10,16,12,1,0,0,1,16,10,14,8,13,0,0,0,13,9,10,0,12,4,0,0,8,10,0,5,16,5,0,0,1,11,16,16,11,0,6\n0,2,12,16,15,9,0,0,0,1,4,7,15,14,0,0,0,0,3,15,14,3,0,0,0,0,6,14,5,0,0,0,0,0,1,11,16,7,0,0,0,0,0,0,6,16,7,0,0,0,3,9,14,15,5,0,0,1,14,12,8,1,0,0,3\n0,0,4,14,16,7,0,0,0,1,16,14,8,5,0,0,0,8,10,0,0,0,0,0,0,3,13,0,0,0,0,0,0,0,12,6,0,0,0,0,0,0,4,13,0,0,0,0,0,0,0,16,5,0,0,0,0,0,7,16,4,0,0,0,5\n0,0,0,12,14,5,0,0,0,0,3,16,16,12,0,0,0,0,14,16,16,2,0,0,0,1,15,16,8,0,0,0,0,4,16,15,4,0,0,0,0,3,16,16,1,0,0,0,0,0,10,16,13,0,0,0,0,0,0,11,16,5,0,0,1\n0,0,6,13,16,16,13,0,0,6,16,10,7,15,14,0,0,1,4,0,10,16,6,0,0,0,0,10,16,4,0,0,0,0,3,16,9,0,0,0,0,0,15,11,0,0,0,0,0,0,16,10,0,0,0,0,0,0,9,16,16,12,1,0,2\n0,0,1,16,10,0,0,0,0,0,3,16,16,4,0,0,0,0,6,16,14,0,0,0,0,0,6,16,14,0,0,0,0,0,8,16,11,0,0,0,0,0,6,16,12,0,0,0,0,0,6,16,11,0,0,0,0,0,1,11,13,0,0,0,1\n0,0,3,13,16,16,3,0,0,0,8,10,5,5,0,0,0,7,15,0,0,0,0,0,0,10,13,2,0,0,0,0,0,3,15,14,1,0,0,0,0,0,0,11,11,0,0,0,0,0,0,7,13,0,0,0,0,0,3,16,11,0,0,0,5\n0,5,15,13,0,0,0,0,0,3,10,16,5,0,0,0,0,0,0,14,4,0,0,0,0,0,6,14,0,0,0,0,0,1,14,7,0,0,0,0,0,7,13,1,0,0,0,0,0,13,14,10,11,9,5,0,0,5,15,16,14,10,3,0,2\n0,1,10,16,16,15,2,0,0,9,16,11,4,16,11,0,0,6,16,15,12,16,7,0,0,0,4,9,16,14,1,0,0,0,0,1,15,8,0,0,0,0,0,13,15,2,0,0,0,0,9,16,5,0,0,0,0,3,16,7,0,0,0,0,9\n0,0,1,11,13,1,0,0,0,0,11,13,9,11,0,0,0,2,16,2,0,10,2,0,0,5,12,0,0,5,7,0,0,8,8,0,0,4,8,0,0,2,12,0,0,7,7,0,0,0,13,5,8,16,2,0,0,0,2,15,14,5,0,0,0\n0,0,3,15,10,1,0,0,0,0,11,14,10,7,0,0,0,2,16,3,0,11,1,0,0,4,15,0,0,7,5,0,0,3,12,0,0,3,9,0,0,2,11,0,0,7,9,0,0,0,11,8,9,16,4,0,0,0,2,10,16,9,0,0,0\n0,0,1,15,14,0,0,0,0,0,6,16,16,8,0,0,0,0,12,16,16,2,0,0,0,0,12,16,13,0,0,0,0,0,15,16,7,0,0,0,0,0,14,16,7,0,0,0,0,0,11,16,11,0,0,0,0,0,2,14,13,0,0,0,1\n0,0,2,15,12,1,0,0,0,0,6,16,15,1,0,0,0,0,14,16,8,0,0,0,0,2,16,16,2,0,0,0,0,3,16,15,0,0,0,0,0,2,16,13,0,0,0,0,0,0,9,16,2,0,0,0,0,0,2,13,12,0,0,0,1\n0,0,2,14,14,4,0,0,0,0,15,16,16,15,1,0,0,6,14,16,5,12,6,0,0,2,11,12,0,6,8,0,0,0,12,4,0,9,6,0,0,0,11,5,0,12,3,0,0,0,8,12,11,15,2,0,0,0,1,12,10,2,0,0,0\n0,0,0,8,15,1,0,0,0,0,2,16,7,0,0,0,0,0,7,15,1,0,0,0,0,0,10,11,0,0,0,0,0,0,14,16,16,13,2,0,0,0,15,16,5,6,14,1,0,0,9,12,2,4,14,5,0,0,0,8,15,16,13,4,6\n0,0,7,13,0,0,3,8,0,0,15,7,0,3,15,7,0,0,16,12,6,14,9,0,0,0,6,12,16,12,0,0,0,0,0,2,14,2,0,0,0,0,0,9,9,0,0,0,0,0,2,13,1,0,0,0,0,0,8,5,0,0,0,0,4\n0,0,3,12,16,10,0,0,0,3,14,5,0,12,0,0,0,9,8,1,9,16,4,0,0,5,15,15,15,14,2,0,0,0,0,0,15,3,0,0,0,0,0,8,10,0,0,0,0,0,0,11,6,0,0,0,0,0,3,15,2,0,0,0,9\n0,0,1,13,16,5,0,0,0,0,6,16,11,2,0,0,0,0,13,15,0,0,0,0,0,3,16,9,0,0,0,0,0,4,16,5,5,10,3,0,0,4,16,5,16,14,15,4,0,0,13,11,7,8,16,7,0,0,2,12,16,16,12,2,6\n0,0,0,8,14,0,0,0,0,0,9,16,5,0,0,0,0,2,14,12,4,7,8,0,0,5,16,16,16,16,13,0,0,1,7,10,12,16,6,0,0,0,0,2,15,10,0,0,0,0,0,10,16,2,0,0,0,0,0,10,15,3,0,0,4\n0,0,3,16,14,3,0,0,0,0,6,16,16,5,0,0,0,0,12,16,9,0,0,0,0,0,16,16,5,0,0,0,0,2,16,16,1,0,0,0,0,1,16,16,1,0,0,0,0,0,13,16,1,0,0,0,0,0,4,15,0,0,0,0,1\n0,0,4,12,13,2,0,0,0,0,16,9,12,9,0,0,0,2,12,1,15,5,0,0,0,0,1,6,14,1,0,0,0,0,0,15,7,0,0,0,0,0,9,12,0,0,0,0,0,0,9,9,4,8,14,2,0,0,4,13,13,9,2,0,2\n0,0,2,15,15,6,0,0,0,0,9,13,4,15,3,0,0,0,14,7,0,8,4,0,0,0,15,4,0,5,8,0,0,4,13,0,0,7,6,0,0,2,12,0,0,12,5,0,0,0,15,9,12,14,0,0,0,0,3,13,13,0,0,0,0\n0,0,4,12,15,6,0,0,0,4,16,8,8,15,0,0,0,10,9,0,3,15,2,0,0,6,15,7,10,16,4,0,0,0,7,8,8,13,8,0,0,0,0,0,0,7,9,0,0,0,2,4,4,10,11,0,0,0,8,16,15,10,2,0,9\n0,0,0,0,7,13,1,0,0,0,0,0,9,16,2,0,0,0,1,9,16,16,0,0,0,4,12,16,16,16,0,0,0,5,10,3,12,15,0,0,0,0,0,0,10,15,0,0,0,0,0,0,12,15,0,0,0,0,0,0,9,12,0,0,1\n0,3,13,14,7,1,0,0,0,6,12,8,13,6,0,0,0,1,0,0,10,7,0,0,0,0,0,9,16,4,0,0,0,0,0,9,14,15,4,0,0,0,0,0,0,13,8,0,0,1,8,8,10,16,3,0,0,4,14,16,11,2,0,0,3\n0,0,2,11,0,0,0,0,0,0,11,13,0,0,0,0,0,0,16,6,0,0,0,0,0,0,15,7,4,1,0,0,0,4,16,16,16,15,3,0,0,1,16,13,8,14,12,0,0,0,14,15,12,15,12,0,0,0,2,15,16,14,4,0,6\n0,0,0,10,13,0,0,0,0,0,1,16,11,2,0,0,0,0,8,16,0,0,0,0,0,0,13,12,0,0,0,0,0,0,14,16,14,9,0,0,0,0,12,15,5,9,13,0,0,0,3,16,4,6,16,2,0,0,0,8,13,14,9,0,6\n0,0,5,13,16,3,0,0,0,1,15,15,16,8,0,0,0,5,8,5,16,11,0,0,0,2,12,16,16,16,10,0,0,2,14,16,15,10,5,0,0,0,1,16,11,0,0,0,0,0,5,16,8,0,0,0,0,0,8,14,2,0,0,0,7\n0,0,11,15,10,0,0,0,0,3,15,6,16,3,0,0,0,0,0,3,14,2,0,0,0,0,1,14,13,2,0,0,0,0,3,13,14,15,3,0,0,0,0,0,0,14,7,0,0,0,8,1,7,15,2,0,0,0,12,16,14,4,0,0,3\n0,0,3,13,13,4,0,0,0,1,14,13,10,16,1,0,0,6,12,1,3,16,6,0,0,7,15,4,10,16,8,0,0,2,11,15,12,16,8,0,0,0,0,0,0,15,8,0,0,0,5,10,4,16,8,0,0,0,2,12,16,11,1,0,9\n0,1,14,13,0,0,0,0,0,9,16,16,2,0,0,0,0,7,11,16,8,0,0,0,0,0,1,13,8,0,0,0,0,0,2,16,5,0,0,0,0,0,6,16,4,0,0,0,0,1,15,16,16,12,6,0,0,0,16,16,16,16,16,3,2\n0,0,10,16,15,1,0,0,0,5,15,8,15,6,0,0,0,3,6,1,14,4,0,0,0,0,0,10,16,13,0,0,0,0,0,1,7,16,7,0,0,0,1,2,0,15,7,0,0,0,12,13,6,16,5,0,0,0,9,16,16,9,0,0,3\n0,0,4,13,14,1,0,0,0,1,16,9,16,3,0,0,0,2,5,0,12,6,0,0,0,0,3,6,16,4,0,0,0,6,16,16,16,16,6,0,0,4,6,13,12,4,2,0,0,0,0,14,4,0,0,0,0,0,5,11,0,0,0,0,7\n0,0,6,14,13,1,0,0,0,2,15,15,16,7,0,0,0,1,5,4,16,6,0,0,0,0,0,7,16,10,3,0,0,1,9,16,16,16,10,0,0,1,15,16,13,8,1,0,0,0,2,16,8,0,0,0,0,0,8,13,0,0,0,0,7\n0,0,8,15,15,5,0,0,0,4,16,13,16,9,0,0,0,1,4,4,16,6,0,0,0,0,0,11,16,5,0,0,0,1,13,16,16,15,5,0,0,5,13,16,13,12,5,0,0,0,9,16,3,0,0,0,0,0,12,10,0,0,0,0,7\n0,0,5,13,16,15,3,0,0,3,16,16,15,16,5,0,0,0,4,0,6,16,2,0,0,0,3,12,16,16,4,0,0,0,9,16,16,16,8,0,0,0,2,13,15,2,0,0,0,0,2,16,9,0,0,0,0,0,5,14,1,0,0,0,7\n0,0,6,14,3,0,0,0,0,0,12,14,14,0,0,0,0,0,14,7,14,2,0,0,0,0,10,5,10,6,0,0,0,0,0,0,13,5,0,0,0,0,0,2,14,5,3,0,0,0,8,16,16,16,16,0,0,0,9,14,8,8,8,2,2\n0,0,3,15,4,0,0,0,0,0,8,13,15,7,0,0,0,2,16,6,5,16,3,0,0,4,14,0,0,11,8,0,0,6,12,0,0,8,8,0,0,4,15,1,0,9,7,0,0,1,15,11,9,16,3,0,0,0,4,10,15,8,0,0,0\n0,1,8,15,13,2,0,0,0,5,14,8,14,7,0,0,0,1,2,2,15,2,0,0,0,0,0,15,15,3,0,0,0,0,0,9,14,16,3,0,0,0,0,0,0,13,8,0,0,0,6,8,8,15,4,0,0,0,11,12,12,5,0,0,3\n0,0,14,11,1,0,0,0,0,7,15,14,8,0,0,0,0,7,8,4,8,0,0,0,0,0,4,0,12,0,0,0,0,0,0,4,10,0,0,0,0,0,0,8,6,0,0,0,0,1,13,16,13,8,4,0,0,1,14,12,16,16,10,0,2\n0,0,5,14,16,10,0,0,0,3,15,13,8,15,6,0,0,0,14,13,7,16,9,0,0,0,10,16,16,12,3,0,0,0,6,16,16,3,0,0,0,0,14,13,16,7,0,0,0,0,14,12,14,9,0,0,0,0,6,14,11,2,0,0,8\n0,0,3,10,14,9,0,0,0,3,15,11,9,8,0,0,0,6,12,8,7,1,0,0,0,4,16,14,16,15,1,0,0,2,8,4,3,14,8,0,0,0,0,0,0,8,9,0,0,0,0,7,8,13,9,0,0,0,0,14,14,9,0,0,5\n0,0,0,4,13,2,0,0,0,0,0,14,8,0,0,0,0,0,5,14,0,9,7,0,0,2,16,3,5,16,5,0,0,7,14,0,12,13,0,0,0,7,16,13,15,11,0,0,0,0,5,13,16,16,2,0,0,0,0,3,14,2,0,0,4\n0,0,4,15,7,0,0,0,0,2,15,5,13,5,0,0,0,5,11,0,2,13,2,0,0,5,8,0,0,6,8,0,0,7,8,0,0,5,8,0,0,3,11,0,0,9,7,0,0,0,14,10,6,15,2,0,0,0,6,12,13,6,0,0,0\n0,0,4,16,1,0,0,0,0,0,10,12,0,0,0,0,0,1,14,8,0,0,0,0,0,3,16,16,14,4,0,0,0,3,16,8,6,15,5,0,0,1,14,3,0,7,12,0,0,0,11,11,7,16,8,0,0,0,5,14,14,9,0,0,6\n0,0,9,13,16,5,0,0,0,7,16,12,9,12,0,0,0,6,14,1,1,7,1,0,0,1,13,16,16,12,3,0,0,0,9,16,12,0,0,0,0,1,16,8,16,2,0,0,0,4,14,2,16,4,0,0,0,0,13,16,10,0,0,0,8\n0,0,3,11,0,0,0,0,0,0,11,10,0,0,0,0,0,0,16,5,0,0,0,0,0,2,16,5,4,2,0,0,0,3,16,16,16,16,6,0,0,2,16,6,0,6,13,0,0,0,15,7,3,12,11,0,0,0,4,14,16,11,3,0,6\n0,0,9,16,11,5,0,0,0,5,16,10,9,16,3,0,0,8,12,0,0,12,2,0,0,5,16,12,15,16,7,0,0,0,11,16,16,5,0,0,0,1,15,11,13,10,0,0,0,3,16,6,11,12,0,0,0,0,10,16,13,4,0,0,8\n0,0,0,9,4,0,0,0,0,0,0,16,3,0,0,0,0,0,8,12,0,1,0,0,0,4,15,2,1,15,3,0,0,8,13,0,8,16,3,0,0,8,16,16,16,13,4,0,0,0,4,10,13,0,0,0,0,0,0,7,12,0,0,0,4\n0,0,3,10,13,1,0,0,0,2,15,10,16,3,0,0,0,2,4,1,16,4,0,0,0,0,0,7,16,0,0,0,0,0,7,14,16,12,3,0,0,2,13,15,13,9,2,0,0,0,0,13,8,0,0,0,0,0,1,15,3,0,0,0,7\n0,0,0,0,15,16,3,0,0,0,0,0,15,16,2,0,0,0,0,4,16,16,2,0,0,0,8,16,16,13,0,0,0,8,16,16,16,9,0,0,0,1,8,6,16,12,0,0,0,0,0,3,16,13,0,0,0,0,0,0,13,13,0,0,1\n0,0,0,0,13,12,0,0,0,0,0,2,16,16,2,0,0,0,0,7,16,16,2,0,0,4,14,16,16,15,0,0,0,9,16,13,16,10,0,0,0,0,0,4,16,12,0,0,0,0,0,1,16,15,0,0,0,0,0,0,13,16,4,0,1\n0,2,15,13,0,0,0,0,0,12,16,16,6,0,0,0,0,14,7,11,10,0,0,0,0,3,1,10,12,0,0,0,0,0,1,15,6,0,0,0,0,0,12,14,0,0,0,0,0,4,16,15,12,12,5,0,0,2,15,16,16,16,13,0,2\n0,0,3,11,12,12,1,0,0,0,15,12,4,14,2,0,0,0,15,12,5,16,4,0,0,0,6,16,16,13,1,0,0,0,8,15,14,13,1,0,0,1,15,4,3,16,6,0,0,3,16,5,6,15,1,0,0,0,9,14,13,6,0,0,8\n0,0,8,15,16,3,0,0,0,3,15,14,16,5,0,0,0,0,3,6,16,2,0,0,0,0,3,12,16,8,3,0,0,1,14,16,16,16,10,0,0,0,9,16,12,5,0,0,0,0,8,16,4,0,0,0,0,0,11,11,0,0,0,0,7\n0,0,0,8,15,1,0,0,0,0,1,15,11,0,0,0,0,0,12,14,1,8,15,1,0,7,16,6,4,16,10,0,0,9,16,16,16,16,1,0,0,1,5,12,16,11,1,0,0,0,0,10,15,1,0,0,0,0,0,10,10,0,0,0,4\n0,0,0,10,16,7,0,0,0,0,0,9,16,16,2,0,0,0,0,11,16,14,0,0,0,0,0,14,16,12,0,0,0,0,7,16,16,8,0,0,0,2,15,16,16,7,0,0,0,3,10,16,16,8,0,0,0,0,0,11,16,15,3,0,1\n0,0,6,12,14,15,2,0,0,0,14,9,8,5,0,0,0,3,14,6,0,0,0,0,0,6,16,16,15,9,0,0,0,0,4,4,7,15,7,0,0,0,0,0,0,11,8,0,0,0,2,9,13,16,4,0,0,0,7,15,12,6,0,0,5\n0,0,6,13,15,9,0,0,0,4,15,8,4,16,4,0,0,8,9,0,0,15,8,0,0,7,15,9,10,16,8,0,0,0,5,8,5,12,8,0,0,0,0,0,0,12,8,0,0,0,11,9,3,14,3,0,0,0,4,15,16,7,0,0,9\n0,0,8,12,1,0,0,0,0,0,15,16,11,0,0,0,0,0,10,3,14,1,0,0,0,0,0,0,11,2,0,0,0,0,0,0,14,3,0,0,0,0,0,4,16,1,0,0,0,0,6,16,16,16,11,1,0,0,5,16,13,12,12,6,2\n0,0,9,16,10,0,0,0,0,1,15,15,16,3,0,0,0,1,16,6,13,8,0,0,0,0,10,5,11,9,0,0,0,0,0,0,14,8,0,0,0,0,0,3,16,5,0,0,0,0,9,16,16,16,14,4,0,0,9,16,14,12,16,8,2\n0,0,0,15,3,0,0,0,0,0,3,16,2,0,0,0,0,0,7,15,0,0,0,0,0,0,10,12,3,0,0,0,0,0,14,16,16,11,2,0,0,1,15,11,1,11,11,0,0,0,12,13,4,8,13,0,0,0,2,11,14,13,5,0,6\n0,0,5,14,16,6,0,0,0,2,15,10,7,15,0,0,0,0,3,0,9,7,0,0,0,0,0,6,16,5,0,0,0,0,0,2,11,16,3,0,0,0,0,0,0,11,7,0,0,0,8,8,7,15,3,0,0,0,7,15,13,6,0,0,3\n0,0,4,11,0,0,0,0,0,0,8,9,0,0,0,0,0,0,15,4,0,0,0,0,0,2,16,8,7,2,0,0,0,6,16,12,13,14,4,0,0,5,16,2,1,10,11,0,0,0,16,9,4,16,9,0,0,0,7,14,15,8,0,0,6\n0,0,9,15,15,7,0,0,0,3,16,7,7,11,0,0,0,0,16,10,3,6,0,0,0,0,7,16,16,15,4,0,0,0,9,16,16,3,0,0,0,1,15,4,11,10,0,0,0,4,14,3,9,11,0,0,0,0,8,15,15,4,0,0,8\n0,1,8,16,14,0,0,0,0,4,15,9,16,3,0,0,0,1,4,7,16,0,0,0,0,0,0,11,16,9,0,0,0,0,0,0,5,15,5,0,0,0,0,0,0,15,5,0,0,0,15,9,9,15,2,0,0,0,6,13,10,4,0,0,3\n0,0,0,0,7,7,0,0,0,0,0,4,15,1,0,0,0,0,0,13,6,9,1,0,0,0,8,12,0,14,3,0,0,3,16,3,2,16,0,0,0,5,16,16,13,16,4,0,0,0,1,7,12,14,2,0,0,0,0,0,9,10,0,0,4\n0,0,7,12,16,16,7,0,0,0,14,14,11,16,7,0,0,0,2,0,7,16,3,0,0,0,2,11,15,16,4,0,0,0,13,16,16,16,7,0,0,0,4,15,12,0,0,0,0,0,6,16,3,0,0,0,0,0,9,15,2,0,0,0,7\n0,0,0,6,16,0,0,0,0,0,0,9,15,0,0,0,0,0,2,15,8,14,0,0,0,0,12,14,8,16,0,0,0,9,16,12,14,14,3,0,0,8,16,16,16,15,8,0,0,1,4,10,16,5,0,0,0,0,0,5,16,4,0,0,4\n0,0,6,13,12,9,1,0,0,4,16,11,6,13,7,0,0,7,16,6,2,13,8,0,0,1,14,15,16,13,3,0,0,0,7,16,16,5,0,0,0,2,16,9,13,14,0,0,0,1,15,8,7,16,3,0,0,0,6,16,15,7,0,0,8\n0,2,10,13,3,0,0,0,0,10,15,10,14,8,0,0,0,11,14,4,13,14,0,0,0,2,9,12,12,16,4,0,0,0,0,0,0,16,7,0,0,0,0,0,0,12,12,0,0,2,12,4,5,15,11,0,0,0,9,13,12,11,1,0,9\n0,0,2,15,8,0,0,0,0,0,9,14,16,6,0,0,0,0,15,9,3,14,3,0,0,4,16,2,0,9,7,0,0,8,12,0,0,7,8,0,0,3,14,1,0,8,9,0,0,0,15,15,13,15,7,0,0,0,3,14,15,9,0,0,0\n0,0,0,7,14,1,0,0,0,0,0,9,11,0,0,0,0,0,0,12,7,4,8,0,0,0,5,15,2,16,5,0,0,3,16,7,6,16,0,0,0,11,16,15,15,16,2,0,0,0,2,8,16,9,0,0,0,0,0,5,16,2,0,0,4\n0,3,15,16,11,1,0,0,0,12,13,10,16,4,0,0,0,5,1,8,16,1,0,0,0,0,0,16,16,6,0,0,0,0,0,7,13,16,5,0,0,0,0,0,1,15,13,0,0,4,11,8,8,15,13,0,0,2,14,16,16,10,1,0,3\n0,1,12,14,6,0,0,0,0,8,14,5,15,7,0,0,0,6,11,1,11,15,2,0,0,1,14,16,13,16,8,0,0,0,0,0,0,12,8,0,0,1,3,0,0,11,9,0,0,4,13,2,1,13,6,0,0,0,10,16,16,9,0,0,9\n0,0,0,12,11,0,0,0,0,0,5,16,8,0,0,0,0,0,12,11,0,0,0,0,0,0,15,8,4,1,0,0,0,3,16,16,16,15,5,0,0,2,16,3,1,9,13,0,0,0,12,9,4,13,13,0,0,0,0,11,16,13,3,0,6\n0,0,4,15,15,5,0,0,0,1,16,12,11,15,3,0,0,7,16,2,4,16,4,0,0,5,16,16,16,16,5,0,0,0,0,1,0,16,8,0,0,0,0,0,0,14,8,0,0,0,10,13,8,16,5,0,0,0,7,13,14,9,1,0,9\n0,0,5,15,8,1,0,0,0,1,15,13,15,9,0,0,0,8,15,1,3,14,1,0,0,4,14,0,0,11,8,0,0,5,12,0,0,12,8,0,0,5,15,1,0,12,10,0,0,1,16,10,9,15,3,0,0,0,5,15,15,4,0,0,0\n0,0,0,2,13,2,0,0,0,0,0,14,10,0,0,0,0,0,11,10,0,10,4,0,0,4,16,3,1,14,3,0,0,6,16,16,16,16,5,0,0,0,5,8,14,11,1,0,0,0,0,0,15,2,0,0,0,0,0,1,13,0,0,0,4\n0,0,0,1,15,5,0,0,0,0,0,11,15,0,7,1,0,0,8,15,2,5,16,0,0,3,15,8,4,12,11,0,0,10,16,16,16,16,7,0,0,2,8,8,13,16,1,0,0,0,0,0,14,10,0,0,0,0,0,2,14,3,0,0,4\n0,2,16,10,1,0,0,0,0,3,16,16,8,0,0,0,0,1,11,11,12,0,0,0,0,0,0,4,16,0,0,0,0,0,0,9,12,0,0,0,0,0,5,15,8,0,0,0,0,5,16,16,16,16,13,0,0,2,16,16,16,16,14,0,2\n0,1,7,9,12,14,1,0,0,11,16,15,10,5,1,0,0,2,16,7,0,0,0,0,0,0,9,16,16,9,0,0,0,0,0,2,8,13,6,0,0,0,0,0,0,8,11,0,0,0,7,13,14,16,4,0,0,0,10,16,12,3,0,0,5\n0,1,10,16,14,3,0,0,0,4,16,13,15,14,0,0,0,1,1,0,9,16,2,0,0,0,5,14,16,13,0,0,0,0,7,16,16,15,2,0,0,0,0,0,4,15,9,0,0,1,13,8,13,16,5,0,0,1,14,16,14,7,0,0,3\n0,0,0,11,16,8,0,0,0,0,9,15,5,3,0,0,0,0,14,6,0,0,0,0,0,4,14,0,0,0,0,0,0,5,11,2,4,1,0,0,0,4,14,15,15,15,3,0,0,1,11,16,11,11,15,0,0,0,1,11,15,16,12,0,6\n0,3,16,14,10,5,0,0,0,1,8,8,11,16,2,0,0,0,2,6,12,11,1,0,0,0,12,16,16,6,0,0,0,0,0,3,11,16,2,0,0,0,0,0,0,14,7,0,0,1,8,9,14,13,0,0,0,3,16,12,9,1,0,0,3\n0,0,2,11,13,1,0,0,0,0,11,15,8,1,0,0,0,1,16,5,0,0,0,0,0,4,15,0,0,0,0,0,0,3,16,10,12,10,2,0,0,2,16,15,11,12,14,0,0,0,14,12,7,11,16,2,0,0,3,11,16,14,6,0,6\n0,0,7,13,5,0,0,0,0,4,14,4,14,13,0,0,0,0,13,8,12,16,4,0,0,0,5,12,11,6,6,0,0,0,0,0,0,5,9,0,0,0,0,0,0,9,7,0,0,0,2,2,8,16,2,0,0,0,10,16,12,3,0,0,9\n0,0,8,15,15,1,0,0,0,4,16,16,16,10,0,0,0,7,12,0,1,16,0,0,0,6,11,0,0,9,7,0,0,8,12,0,0,9,4,0,0,4,16,1,2,15,8,0,0,0,15,16,16,16,1,0,0,0,7,16,16,8,0,0,0\n0,3,15,16,3,0,0,0,0,11,16,15,12,0,0,0,0,1,1,6,16,0,0,0,0,0,0,5,16,0,0,0,0,0,0,14,12,0,0,0,0,0,9,16,9,8,5,0,0,3,16,16,16,16,11,0,0,5,16,16,13,8,1,0,2\n0,0,7,16,16,16,13,0,0,0,6,9,11,15,13,0,0,0,0,0,2,16,5,0,0,0,0,5,13,16,4,0,0,0,9,16,16,16,8,0,0,0,3,14,11,0,0,0,0,0,3,16,5,0,0,0,0,0,7,15,0,0,0,0,7\n0,0,4,12,15,3,0,0,0,3,16,14,14,13,0,0,0,5,16,1,2,15,5,0,0,8,16,0,0,9,11,0,0,5,16,0,0,8,12,0,0,0,15,2,0,11,13,0,0,0,10,12,12,16,9,0,0,0,4,16,16,9,0,0,0\n0,0,6,11,15,16,12,0,0,0,6,8,5,12,10,0,0,0,0,0,2,15,2,0,0,0,7,12,13,15,4,0,0,0,6,10,16,9,4,0,0,0,0,13,7,0,0,0,0,0,5,15,2,0,0,0,0,0,10,10,0,0,0,0,7\n0,0,2,11,12,12,15,8,0,0,5,12,12,13,15,2,0,0,0,0,0,7,10,0,0,0,0,4,12,16,8,0,0,0,1,16,16,12,3,0,0,0,0,4,13,1,0,0,0,0,1,12,6,0,0,0,0,0,2,14,1,0,0,0,7\n0,0,9,15,16,16,10,0,0,0,15,11,11,16,4,0,0,0,0,0,12,11,0,0,0,0,2,8,16,16,12,0,0,0,14,16,13,8,2,0,0,0,5,16,6,0,0,0,0,0,8,14,0,0,0,0,0,0,13,9,0,0,0,0,7\n0,0,8,13,11,4,0,0,0,3,16,8,8,15,2,0,0,6,16,8,9,16,8,0,0,0,10,16,13,13,8,0,0,0,0,0,0,11,7,0,0,0,0,0,2,16,3,0,0,0,3,9,15,7,0,0,0,0,10,10,3,0,0,0,9\n0,3,12,11,6,0,0,0,0,11,15,8,16,8,0,0,0,10,11,1,13,15,1,0,0,2,14,16,15,15,8,0,0,0,1,4,0,14,2,0,0,0,0,0,3,16,1,0,0,1,11,9,14,8,0,0,0,2,15,13,10,0,0,0,9\n0,0,7,16,15,5,0,0,0,0,15,7,6,15,2,0,0,3,15,4,5,13,2,0,0,2,15,16,16,15,0,0,0,0,8,16,15,15,3,0,0,0,11,13,1,6,7,0,0,0,16,12,8,11,4,0,0,0,7,15,16,12,2,0,8\n0,0,4,14,15,9,0,0,0,0,14,9,0,2,0,0,0,2,15,1,0,0,0,0,0,5,9,0,0,0,0,0,0,7,12,10,15,7,0,0,0,4,16,15,3,11,6,0,0,0,13,15,14,11,10,0,0,0,5,14,16,11,2,0,6\n0,0,6,12,15,10,0,0,0,5,15,5,4,11,6,0,0,7,11,4,5,14,6,0,0,2,16,16,16,6,0,0,0,0,15,15,12,14,1,0,0,0,14,3,0,9,6,0,0,0,16,7,6,14,6,0,0,0,7,15,12,9,0,0,8\n0,4,14,15,7,1,0,0,0,8,14,12,16,4,0,0,0,0,0,0,12,8,0,0,0,0,2,9,16,7,0,0,0,0,3,13,13,16,5,0,0,0,0,0,0,12,8,0,0,3,11,7,12,16,4,0,0,4,14,16,11,4,0,0,3\n0,0,5,14,15,6,0,0,0,1,16,8,8,15,2,0,0,0,16,10,10,15,5,0,0,0,11,16,16,9,0,0,0,0,6,16,16,16,3,0,0,0,9,13,0,10,7,0,0,0,12,10,8,15,2,0,0,0,7,16,13,5,0,0,8\n0,1,8,14,16,5,0,0,0,5,15,7,11,11,0,0,0,0,1,0,11,9,0,0,0,0,3,11,16,3,0,0,0,0,12,16,16,15,3,0,0,0,2,1,1,12,8,0,0,0,5,9,14,15,3,0,0,0,11,12,8,1,0,0,3\n0,0,3,14,13,1,0,0,0,0,12,12,3,2,0,0,0,1,16,2,0,0,0,0,0,4,14,0,0,0,0,0,0,2,14,0,2,2,0,0,0,2,14,14,16,16,8,0,0,0,11,16,11,11,16,2,0,0,1,10,12,12,9,0,6\n0,3,7,13,16,12,2,0,0,10,16,12,6,2,0,0,0,9,16,8,1,0,0,0,0,4,11,16,15,6,0,0,0,0,0,1,8,15,5,0,0,0,0,0,1,14,7,0,0,0,11,13,16,15,1,0,0,0,10,12,8,3,0,0,5\n0,0,5,11,15,5,0,0,0,6,13,2,3,15,3,0,0,7,13,8,11,16,8,0,0,1,9,12,8,8,8,0,0,0,0,0,1,13,4,0,0,0,0,0,9,12,0,0,0,0,0,8,13,0,0,0,0,0,7,10,1,0,0,0,9\n0,0,0,6,15,1,0,0,0,0,6,16,8,3,7,0,0,1,16,12,0,12,11,0,0,5,16,16,13,16,12,0,0,3,12,15,16,16,7,0,0,0,0,0,14,10,0,0,0,0,0,3,16,3,0,0,0,0,0,8,14,1,0,0,4\n0,0,0,10,14,9,0,0,0,0,10,14,6,4,0,0,0,1,16,5,0,0,0,0,0,6,12,0,0,0,0,0,0,7,10,1,4,1,0,0,0,2,15,16,14,14,1,0,0,0,12,12,4,14,11,0,0,0,1,10,13,12,4,0,6\n0,1,9,12,12,13,16,4,0,1,11,12,12,16,13,1,0,0,0,0,7,16,2,0,0,0,8,12,15,13,0,0,0,0,16,16,16,12,0,0,0,0,0,13,10,0,0,0,0,0,7,16,5,0,0,0,0,0,12,15,2,0,0,0,7\n0,0,6,16,16,13,7,0,0,0,14,12,16,16,9,0,0,0,0,0,5,15,1,0,0,0,0,4,11,14,6,0,0,0,3,16,16,16,10,0,0,0,1,12,13,4,1,0,0,0,3,15,5,0,0,0,0,0,7,15,0,0,0,0,7\n0,0,3,15,13,1,0,0,0,1,15,12,13,10,0,0,0,3,16,1,1,12,2,0,0,6,12,0,0,4,6,0,0,4,11,0,0,4,8,0,0,0,13,3,5,13,8,0,0,0,10,15,16,16,5,0,0,0,2,14,12,5,0,0,0\n0,0,0,10,10,0,0,0,0,0,2,15,7,0,7,1,0,1,13,13,0,5,16,3,0,6,16,12,8,14,14,0,0,4,15,16,16,16,9,0,0,0,0,3,15,13,0,0,0,0,0,6,16,4,0,0,0,0,0,12,8,0,0,0,4\n0,0,8,16,8,0,0,0,0,6,14,5,13,6,0,0,0,7,12,2,7,16,2,0,0,0,12,16,16,16,6,0,0,0,0,3,3,9,8,0,0,0,0,0,5,16,3,0,0,0,3,9,16,8,0,0,0,0,10,11,4,0,0,0,9\n0,1,15,15,1,0,0,0,0,7,16,16,11,0,0,0,0,3,7,8,13,0,0,0,0,0,0,7,16,2,0,0,0,0,2,15,9,0,0,0,0,0,8,16,5,0,3,0,0,3,15,16,16,16,16,0,0,2,16,16,16,16,10,0,2\n0,0,7,12,12,7,0,0,0,0,11,16,16,11,0,0,0,0,10,16,16,7,0,0,0,0,12,16,16,6,0,0,0,0,12,16,16,7,0,0,0,0,13,16,16,11,0,0,0,0,16,16,16,13,0,0,0,0,6,10,8,3,0,0,1\n0,0,7,12,13,1,0,0,0,6,16,6,8,7,0,0,0,0,16,10,11,8,0,0,0,0,8,15,16,5,0,0,0,0,10,15,12,14,1,0,0,0,15,7,0,11,7,0,0,0,15,8,8,15,7,0,0,0,6,12,12,8,1,0,8\n0,0,8,15,11,0,0,0,0,7,16,15,15,9,0,0,0,10,14,0,3,12,2,0,0,5,12,0,0,5,7,0,0,4,11,0,0,7,8,0,0,3,11,0,6,16,6,0,0,0,14,13,16,14,1,0,0,0,8,15,11,2,0,0,0\n0,0,9,16,14,2,0,0,0,0,10,16,16,4,0,0,0,4,16,16,16,0,0,0,0,0,14,16,16,2,0,0,0,1,16,16,16,3,0,0,0,1,16,16,16,0,0,0,0,3,16,16,16,7,0,0,0,1,9,15,16,8,0,0,1\n0,0,9,15,2,0,0,0,0,3,16,14,13,1,0,0,0,0,6,0,14,2,0,0,0,0,0,1,15,0,0,0,0,0,0,5,14,0,0,0,0,0,1,12,9,0,0,0,0,0,12,16,16,16,16,2,0,0,8,13,11,8,7,0,2\n0,0,4,12,7,0,0,0,0,2,13,16,16,6,0,0,0,5,16,3,5,15,0,0,0,8,13,0,0,11,1,0,0,7,12,0,0,8,4,0,0,5,10,0,0,9,5,0,0,1,15,13,13,16,3,0,0,0,5,14,16,10,0,0,0\n0,0,8,15,14,6,0,0,0,4,16,5,6,16,3,0,0,7,16,2,3,16,8,0,0,2,14,16,16,16,8,0,0,0,0,2,0,9,8,0,0,0,0,0,5,16,2,0,0,0,0,8,14,5,0,0,0,0,9,8,1,0,0,0,9\n0,0,11,12,7,0,0,0,0,0,5,16,16,9,0,0,0,0,4,16,16,12,0,0,0,0,4,16,16,13,0,0,0,0,3,15,16,12,0,0,0,0,2,13,16,12,0,0,0,0,11,16,16,5,0,0,0,0,8,10,8,0,0,0,1\n0,0,5,8,8,10,13,4,0,0,10,12,12,14,14,1,0,0,0,0,0,12,5,0,0,0,2,4,7,16,0,0,0,0,10,16,16,10,0,0,0,0,0,8,11,0,0,0,0,0,0,16,7,0,0,0,0,0,7,16,3,0,0,0,7\n0,0,7,13,10,0,0,0,0,0,16,16,16,9,0,0,0,3,12,2,9,16,4,0,0,6,9,0,0,13,7,0,0,8,12,0,0,8,8,0,0,7,15,4,2,12,8,0,0,2,16,16,16,16,5,0,0,0,7,14,12,7,0,0,0\n0,0,3,12,11,7,0,0,0,0,8,16,16,6,0,0,0,3,16,16,16,6,0,0,0,4,16,16,15,1,0,0,0,1,8,9,16,4,0,0,0,1,15,16,16,9,0,0,0,0,8,16,16,12,0,0,0,0,4,11,11,6,0,0,1\n0,0,10,16,16,16,11,0,0,0,9,11,8,16,9,0,0,0,0,0,5,16,3,0,0,0,2,11,15,16,11,0,0,0,6,16,16,10,5,0,0,0,0,13,11,0,0,0,0,0,7,16,3,0,0,0,0,0,13,11,0,0,0,0,7\n0,0,9,15,8,0,0,0,0,6,14,2,7,10,0,0,0,9,10,0,2,16,3,0,0,5,16,16,16,14,2,0,0,6,16,16,16,14,1,0,0,5,16,0,0,9,11,0,0,1,16,9,7,14,6,0,0,0,9,12,13,8,0,0,8\n0,0,3,11,12,4,0,0,0,6,15,6,5,13,0,0,0,7,13,0,2,16,1,0,0,3,16,16,16,14,0,0,0,0,15,13,8,13,6,0,0,0,12,1,0,3,9,0,0,0,9,12,8,14,11,0,0,0,5,13,12,9,1,0,8\n0,0,0,10,16,6,0,0,0,0,4,16,16,4,0,0,0,0,14,16,16,4,0,0,0,0,16,16,16,8,0,0,0,0,16,16,16,8,0,0,0,0,15,16,16,14,3,0,0,0,10,16,16,16,8,0,0,0,1,12,12,15,7,0,1\n0,0,0,4,15,0,0,0,0,0,2,13,12,0,3,0,0,0,11,15,2,6,16,0,0,8,16,12,8,15,12,0,0,7,16,16,16,16,7,0,0,0,4,7,14,13,0,0,0,0,0,1,16,9,0,0,0,0,0,3,16,3,0,0,4\n0,3,12,15,16,14,2,0,0,7,16,11,4,7,1,0,0,9,16,6,0,0,0,0,0,4,15,16,11,0,0,0,0,0,0,6,16,6,0,0,0,0,0,0,9,12,0,0,0,1,12,12,16,6,0,0,0,3,16,16,7,0,0,0,5\n0,0,7,16,13,2,0,0,0,2,15,16,16,11,0,0,0,7,14,4,6,16,0,0,0,4,12,0,0,7,7,0,0,6,12,0,1,11,8,0,0,2,15,8,13,16,9,0,0,0,15,16,16,15,2,0,0,0,5,14,11,1,0,0,0\n0,0,8,14,5,0,0,0,0,8,13,5,14,5,0,0,0,8,13,2,5,14,3,0,0,4,16,14,15,16,8,0,0,0,2,5,7,10,7,0,0,0,0,0,3,15,3,0,0,0,0,4,14,10,0,0,0,0,10,13,6,0,0,0,9\n0,1,8,15,10,0,0,0,0,4,16,16,16,9,0,0,0,0,12,16,16,12,0,0,0,0,10,16,16,8,0,0,0,0,8,16,16,10,0,0,0,0,9,16,16,13,0,0,0,0,8,16,16,12,0,0,0,0,5,15,16,9,1,0,1\n0,3,9,14,15,6,0,0,0,7,13,7,8,16,0,0,0,0,0,0,7,12,0,0,0,0,1,9,16,10,0,0,0,0,5,15,12,15,7,0,0,0,0,0,0,13,9,0,0,0,8,8,14,16,4,0,0,3,16,14,9,1,0,0,3\n0,3,11,13,8,1,0,0,0,3,11,8,15,7,0,0,0,0,0,2,14,6,0,0,0,0,7,16,16,11,0,0,0,0,5,12,11,16,8,0,0,0,0,0,6,16,7,0,0,2,12,16,16,7,0,0,0,4,13,11,2,0,0,0,3\n0,0,5,14,12,2,0,0,0,1,16,11,5,11,0,0,0,4,14,0,0,9,4,0,0,8,10,0,0,5,8,0,0,8,8,0,0,8,8,0,0,4,11,0,0,10,5,0,0,2,16,11,12,14,0,0,0,0,5,14,14,3,0,0,0\n0,0,4,15,12,2,0,0,0,0,13,16,16,14,0,0,0,7,16,3,2,15,2,0,0,8,16,4,0,4,8,0,0,8,15,3,0,6,8,0,0,4,15,4,2,13,10,0,0,0,13,16,16,16,6,0,0,0,4,15,16,9,0,0,0\n0,0,0,10,12,2,0,0,0,0,11,16,16,10,0,0,0,3,16,5,6,12,2,0,0,5,12,0,0,6,8,0,0,4,16,0,0,6,8,0,0,2,15,7,2,13,8,0,0,0,9,16,14,16,5,0,0,0,0,12,16,10,0,0,0\n0,0,4,16,3,0,0,0,0,0,8,16,2,0,1,0,0,0,11,13,3,15,5,0,0,2,16,6,11,15,0,0,0,11,16,12,16,13,4,0,1,12,12,15,15,11,2,0,0,0,1,16,5,0,0,0,0,0,6,16,0,0,0,0,4\n0,0,0,14,7,1,6,0,0,0,6,15,2,11,15,0,0,2,14,10,2,16,8,0,0,7,16,10,13,16,14,0,0,6,16,16,16,11,5,0,0,0,0,7,15,1,0,0,0,0,0,10,10,0,0,0,0,0,1,15,4,0,0,0,4\n0,0,0,8,12,0,0,0,0,0,0,15,5,11,7,0,0,0,8,12,1,16,3,0,0,3,15,5,6,14,0,0,0,12,15,10,15,16,7,0,0,12,16,16,16,10,3,0,0,0,2,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6,16,16,13,6,0,0,2,7,8,15,3,0,0,0,0,0,8,10,0,0,0,0,0,0,16,4,0,0,0,4\n0,1,10,14,16,16,15,1,0,1,12,11,8,11,15,2,0,0,0,0,1,14,8,0,0,0,0,0,11,11,1,0,0,0,0,5,16,2,0,0,0,0,1,16,6,0,0,0,0,0,7,14,1,0,0,0,0,0,15,11,0,0,0,0,7\n0,0,5,12,10,0,0,0,0,2,16,9,11,2,0,0,0,0,16,5,8,14,0,0,0,1,14,16,16,3,0,0,0,0,3,16,16,4,0,0,0,0,11,12,15,11,0,0,0,2,16,7,2,16,2,0,0,0,9,15,13,11,1,0,8\n0,0,5,14,0,0,0,0,0,0,9,11,1,3,0,0,0,2,14,4,10,11,0,0,0,8,16,12,15,14,6,0,0,9,16,13,16,10,5,0,0,0,0,9,11,0,0,0,0,0,0,15,5,0,0,0,0,0,3,16,3,0,0,0,4\n0,0,2,11,16,16,16,12,0,0,7,15,9,8,12,13,0,0,0,0,0,1,14,5,0,0,0,0,0,11,9,0,0,0,0,0,6,13,0,0,0,0,0,1,14,3,0,0,0,0,0,10,9,0,0,0,0,0,1,16,5,0,0,0,7\n0,0,4,14,11,1,0,0,0,4,16,12,10,8,0,0,0,9,14,1,7,7,0,0,0,1,2,0,15,9,0,0,0,0,0,0,7,15,2,0,0,0,0,0,0,5,11,0,0,0,12,3,4,10,11,0,0,0,6,15,15,11,1,0,3\n0,0,1,11,15,16,5,0,0,0,13,15,13,16,9,0,0,1,16,14,15,16,8,0,0,0,13,16,13,15,15,0,0,0,0,0,1,14,9,0,0,0,0,0,9,14,1,0,0,0,0,9,15,2,0,0,0,0,0,15,7,0,0,0,9\n0,0,5,11,13,10,3,0,0,1,13,11,5,6,3,0,0,6,15,0,0,0,0,0,0,7,13,4,1,0,0,0,0,1,14,16,15,4,0,0,0,0,0,0,8,13,0,0,0,0,8,5,5,15,0,0,0,0,4,12,16,9,0,0,5\n0,2,11,16,16,16,13,0,0,5,12,10,8,13,16,0,0,0,0,0,1,15,11,0,0,0,0,0,13,13,0,0,0,0,0,8,16,2,0,0,0,0,3,15,8,0,0,0,0,0,11,15,0,0,0,0,0,2,16,10,0,0,0,0,7\n0,0,0,6,14,9,0,0,0,0,8,15,8,2,0,0,0,3,15,9,0,0,0,0,0,7,15,0,0,0,0,0,0,7,16,4,6,3,0,0,0,1,16,15,12,15,5,0,0,0,7,14,6,11,14,0,0,0,0,5,13,15,8,0,6\n0,0,8,11,16,14,3,0,0,0,16,14,8,8,3,0,0,4,16,8,0,0,0,0,0,4,16,14,4,0,0,0,0,0,0,9,16,7,0,0,0,0,0,0,14,12,0,0,0,3,15,5,15,7,0,0,0,0,11,16,11,1,0,0,5\n0,0,12,8,2,0,0,0,0,0,16,6,14,6,0,0,0,2,16,10,16,0,0,0,0,10,13,14,10,4,1,0,0,8,16,16,16,16,10,0,0,0,13,15,4,4,1,0,0,0,12,12,0,0,0,0,0,1,14,5,0,0,0,0,4\n0,0,0,3,13,14,1,0,0,0,3,15,16,16,0,0,0,5,16,16,16,14,0,0,0,0,0,4,16,14,0,0,0,0,0,4,16,14,0,0,0,0,0,4,16,10,0,0,0,0,0,4,16,8,0,0,0,0,0,2,12,16,5,0,1\n0,0,7,12,14,11,3,0,0,0,12,13,5,5,3,0,0,1,16,7,0,0,0,0,0,5,16,16,12,1,0,0,0,0,0,1,12,10,0,0,0,0,0,0,1,14,0,0,0,0,11,4,8,11,0,0,0,0,10,16,11,2,0,0,5\n0,0,7,15,15,5,0,0,0,0,15,13,12,15,5,0,0,0,10,14,12,16,3,0,0,0,5,16,16,9,0,0,0,2,15,16,16,3,0,0,0,7,14,2,12,14,1,0,0,3,15,9,12,16,4,0,0,0,5,12,13,8,1,0,8\n0,0,9,16,8,0,0,0,0,9,13,4,13,0,0,0,0,7,6,1,14,0,0,0,0,0,0,9,16,9,0,0,0,0,0,8,6,13,6,0,0,0,0,0,0,4,11,0,0,0,6,0,3,12,5,0,0,0,9,16,16,7,0,0,3\n0,0,6,15,16,16,5,0,0,3,16,14,8,4,1,0,0,10,16,11,3,0,0,0,0,11,16,16,15,3,0,0,0,1,2,1,14,12,0,0,0,0,0,0,7,16,1,0,0,0,5,13,11,15,0,0,0,0,7,16,15,3,0,0,5\n0,0,1,7,12,14,5,0,0,0,8,13,1,8,8,0,0,2,16,6,16,16,9,0,0,0,7,8,6,12,10,0,0,0,0,0,0,12,7,0,0,0,0,0,0,16,2,0,0,0,0,0,9,10,0,0,0,0,0,8,11,4,0,0,9\n0,0,0,9,15,13,2,0,0,0,10,12,4,11,8,0,0,3,15,3,6,15,6,0,0,5,16,14,12,15,7,0,0,0,0,0,0,14,5,0,0,0,0,0,9,12,0,0,0,0,0,8,12,0,0,0,0,0,0,12,5,0,0,0,9\n0,0,4,16,13,2,0,0,0,0,11,7,2,13,0,0,0,3,16,4,0,9,1,0,0,5,13,2,0,5,7,0,0,4,8,0,0,4,8,0,0,4,14,0,0,6,8,0,0,0,13,10,1,14,3,0,0,0,4,12,16,10,0,0,0\n0,1,12,16,6,0,0,0,0,9,16,14,14,3,0,0,0,12,12,0,16,7,0,0,0,2,0,0,15,6,0,0,0,0,0,4,15,1,0,0,0,0,1,12,14,0,0,0,0,2,15,16,14,9,2,0,0,1,13,16,16,16,16,3,2\n0,0,0,13,4,0,0,0,0,0,4,16,9,9,0,0,0,0,12,8,10,9,0,0,0,7,15,4,15,8,1,0,0,11,16,16,16,16,10,0,0,1,4,10,12,0,0,0,0,0,0,12,8,0,0,0,0,0,0,12,5,0,0,0,4\n0,0,2,12,14,1,0,0,0,0,14,9,11,14,7,0,0,5,12,0,8,11,1,0,0,4,14,8,13,1,0,0,0,0,9,16,4,0,0,0,0,0,7,13,13,1,0,0,0,0,8,7,14,6,0,0,0,0,4,14,12,4,0,0,8\n0,0,2,12,8,0,0,0,0,0,13,11,1,0,0,0,0,2,15,1,0,0,0,0,0,6,13,0,0,0,0,0,0,8,14,10,11,5,0,0,0,4,16,15,8,12,7,0,0,0,15,11,4,11,10,0,0,0,3,13,15,12,3,0,6\n0,0,1,14,10,0,0,0,0,0,9,16,6,0,0,0,0,0,13,16,1,0,0,0,0,0,16,11,0,0,0,0,0,2,16,15,11,6,1,0,0,3,16,16,16,16,11,0,0,0,12,16,14,16,11,0,0,0,1,10,15,11,2,0,6\n0,0,2,14,9,1,0,0,0,1,14,10,11,10,0,0,0,4,14,1,0,12,3,0,0,7,8,0,0,3,6,0,0,7,7,0,0,1,9,0,0,3,12,0,0,5,8,0,0,0,11,5,3,12,6,0,0,0,2,14,16,9,0,0,0\n0,0,0,6,13,9,0,0,0,1,15,16,7,3,0,0,0,7,15,3,0,0,0,0,0,7,16,16,8,0,0,0,0,2,11,5,12,7,0,0,0,0,0,0,2,14,0,0,0,0,0,5,11,16,1,0,0,0,0,4,15,9,0,0,5\n0,0,1,15,4,0,0,0,0,0,9,12,0,0,0,0,0,1,14,6,0,0,0,0,0,1,16,4,3,3,0,0,0,2,16,8,16,15,2,0,0,1,16,16,10,5,12,0,0,0,13,15,8,12,10,0,0,0,0,13,15,10,1,0,6\n0,0,8,13,6,0,0,0,0,2,16,12,11,10,0,0,0,0,16,16,14,8,1,0,0,0,13,11,0,0,0,0,0,2,15,4,0,0,0,0,0,0,16,13,0,0,0,0,0,2,15,16,2,0,0,0,0,0,11,16,4,0,0,0,8\n0,0,8,13,11,5,0,0,0,4,16,14,16,10,0,0,0,1,14,16,7,0,0,0,0,0,11,16,14,2,0,0,0,2,16,3,8,15,1,0,0,6,15,2,1,16,5,0,0,5,16,9,11,16,3,0,0,0,9,15,15,7,0,0,8\n0,0,6,13,10,0,0,0,0,3,16,11,14,6,0,0,0,9,11,0,12,12,0,0,0,4,4,0,9,12,0,0,0,0,0,4,16,3,0,0,0,0,0,13,15,3,0,0,0,0,8,16,15,16,11,0,0,0,4,14,10,2,0,0,2\n0,0,5,16,4,0,0,0,0,0,13,16,1,0,0,0,0,2,16,11,0,0,0,0,0,8,16,12,10,16,6,0,0,2,13,16,16,16,6,0,0,0,1,14,16,6,0,0,0,0,5,16,11,0,0,0,0,0,5,16,7,0,0,0,4\n0,0,0,10,15,4,0,0,0,0,5,16,14,3,0,0,0,0,12,15,1,0,0,0,0,1,15,8,0,0,0,0,0,4,16,12,2,0,0,0,0,3,16,16,15,4,0,0,0,0,12,14,16,10,0,0,0,0,1,9,15,10,0,0,6\n0,0,0,13,7,0,0,0,0,0,3,16,9,0,0,0,0,0,11,15,2,6,4,0,0,4,16,14,13,16,12,0,0,11,16,16,16,16,3,0,0,3,8,10,16,9,0,0,0,0,0,11,16,2,0,0,0,0,1,13,13,0,0,0,4\n0,0,10,13,16,15,4,0,0,0,0,6,9,15,12,0,0,0,0,0,0,16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0,0,0,0,15,14,0,0,0,0,0,0,16,8,0,0,0,0,0,0,15,13,1,0,0,0,0,0,6,16,8,0,0,0,1,6,15,14,3,0,0,0,14,11,7,1,0,0,3\n0,0,3,14,13,1,0,0,0,0,12,15,11,9,0,0,0,1,16,4,0,15,0,0,0,5,13,0,0,13,6,0,0,7,9,0,0,13,8,0,0,4,12,0,0,13,9,0,0,3,13,4,10,16,5,0,0,0,3,8,13,15,2,0,0\n0,2,5,10,16,6,0,0,0,4,12,13,16,5,0,0,0,0,0,5,16,0,0,0,0,0,0,11,11,0,0,0,0,0,0,11,13,2,0,0,0,0,0,1,12,15,4,0,0,0,0,0,7,16,8,0,0,0,1,13,16,11,2,0,3\n0,0,5,14,12,8,2,0,0,0,1,10,16,16,12,0,0,0,5,14,16,16,2,0,0,0,10,16,16,12,0,0,0,6,16,16,14,4,0,0,0,9,16,16,11,0,0,0,0,10,16,16,6,0,0,0,0,1,10,14,12,4,0,0,1\n0,0,9,16,13,15,5,0,0,4,16,11,10,13,5,0,0,12,11,0,0,0,0,0,0,8,14,3,0,0,0,0,0,0,10,15,0,0,0,0,0,0,0,15,5,0,0,0,0,0,2,16,7,0,0,0,0,0,14,13,1,0,0,0,5\n0,3,16,15,7,0,0,0,0,5,16,16,16,13,2,0,0,0,7,8,10,16,6,0,0,0,0,0,2,16,4,0,0,0,0,0,4,16,1,0,0,0,0,0,12,9,0,0,0,0,4,11,15,3,0,0,0,2,15,12,3,0,0,0,9\n0,0,13,16,16,16,2,0,0,1,16,16,12,9,0,0,0,8,16,8,0,0,0,0,0,10,16,1,0,0,0,0,0,7,16,13,0,0,0,0,0,0,9,16,10,0,0,0,0,0,11,16,12,0,0,0,0,0,15,14,6,0,0,0,5\n0,0,0,3,10,10,0,0,0,8,14,16,14,15,4,0,0,0,3,1,1,15,4,0,0,0,0,7,14,16,6,0,0,0,9,16,15,10,0,0,0,0,2,2,14,4,0,0,0,0,0,7,11,0,0,0,0,0,0,9,4,0,0,0,7\n0,0,12,16,6,0,0,0,0,3,15,12,12,0,0,0,0,6,12,8,12,0,0,0,0,3,14,11,10,0,0,0,0,0,5,16,3,0,0,0,0,0,13,12,0,0,0,0,0,8,16,12,7,5,2,0,0,0,12,13,10,10,4,0,2\n0,0,0,8,15,1,0,0,0,0,1,15,15,1,0,0,0,0,8,16,5,0,0,0,0,0,12,15,1,0,0,0,0,0,15,7,0,0,0,0,0,0,14,14,12,7,0,0,0,0,8,16,12,16,7,0,0,0,0,7,15,16,13,0,6\n0,0,3,15,14,12,12,5,0,0,0,9,12,14,16,7,0,0,0,0,1,13,14,0,0,4,9,10,11,16,13,0,0,3,12,14,16,14,5,0,0,0,0,8,16,4,0,0,0,0,1,15,8,0,0,0,0,0,4,15,0,0,0,0,7\n0,0,10,7,0,0,0,0,0,1,14,8,0,0,0,0,0,5,16,3,2,8,4,0,0,7,16,14,16,15,5,0,0,0,4,8,16,12,0,0,0,0,0,6,16,2,0,0,0,0,5,16,7,0,0,0,0,0,11,9,0,0,0,0,4\n0,0,0,8,15,2,0,0,0,0,0,13,16,3,0,0,0,0,4,16,14,0,0,0,0,0,7,16,7,0,0,0,0,0,9,16,2,0,0,0,0,0,12,16,4,0,0,0,0,0,8,16,16,8,0,0,0,0,0,6,15,15,0,0,6\n0,1,7,13,16,16,8,0,0,5,16,12,16,16,5,0,0,0,1,4,16,8,0,0,0,0,0,11,16,9,1,0,0,0,0,0,9,15,10,0,0,0,0,0,0,13,9,0,0,0,0,5,11,16,5,0,0,0,6,16,14,7,0,0,3\n0,0,6,16,12,1,0,0,0,8,15,5,16,4,0,0,0,13,6,4,16,3,0,0,0,3,3,5,16,0,0,0,0,0,0,13,12,0,0,0,0,0,3,16,9,0,0,0,0,0,10,16,6,4,1,0,0,0,4,15,16,16,14,0,2\n0,2,15,16,16,12,2,0,0,0,2,10,16,16,5,0,0,0,0,11,16,5,0,0,0,0,0,11,16,10,0,0,0,0,0,1,10,16,7,0,0,0,0,0,8,16,9,0,0,0,5,11,16,15,2,0,0,3,16,14,10,2,0,0,3\n0,2,14,13,16,13,0,0,0,0,7,8,14,14,0,0,0,0,0,0,13,12,0,0,0,0,11,13,16,14,5,0,0,0,8,16,16,12,5,0,0,0,3,16,7,0,0,0,0,0,11,14,1,0,0,0,0,2,16,8,0,0,0,0,7\n0,0,6,12,14,16,14,0,0,1,12,12,10,12,16,0,0,0,0,0,1,11,15,0,0,0,0,9,16,16,10,0,0,0,0,9,16,11,0,0,0,0,0,7,15,0,0,0,0,0,1,16,5,0,0,0,0,0,8,13,0,0,0,0,7\n0,0,3,12,0,0,0,0,0,0,7,16,2,0,0,0,0,0,13,11,1,7,1,0,0,6,16,16,16,16,8,0,0,2,11,14,16,13,0,0,0,0,0,13,15,3,0,0,0,0,4,16,12,0,0,0,0,0,5,12,6,0,0,0,4\n0,0,11,16,10,0,0,0,0,0,3,16,16,9,0,0,0,0,0,14,16,9,0,0,0,0,2,16,16,4,0,0,0,0,7,16,16,3,0,0,0,0,8,16,13,1,0,0,0,0,12,16,12,0,0,0,0,0,9,14,16,0,0,0,1\n0,0,5,10,14,8,0,0,0,8,16,13,16,15,0,0,0,0,0,1,16,8,0,0,0,0,0,6,16,2,0,0,0,0,0,5,16,14,2,0,0,0,0,0,6,16,8,0,0,0,1,10,14,15,1,0,0,0,2,13,10,2,0,0,3\n0,0,4,13,4,0,0,0,0,0,11,10,11,7,0,0,0,0,14,3,1,15,0,0,0,0,15,1,0,12,5,0,0,1,15,0,0,13,5,0,0,0,16,0,4,16,4,0,0,0,11,10,15,11,0,0,0,0,3,12,14,1,0,0,0\n0,0,2,15,12,1,0,0,0,0,7,15,15,9,0,0,0,0,5,15,7,16,2,0,0,0,1,13,14,16,7,0,0,0,0,4,13,15,10,0,0,0,0,0,0,14,11,0,0,0,0,1,8,16,10,0,0,0,2,13,16,15,3,0,9\n0,0,0,12,16,2,0,0,0,0,4,16,12,1,0,0,0,0,14,16,2,0,0,0,0,0,16,10,0,0,0,0,0,1,16,8,5,0,0,0,0,0,14,16,16,13,1,0,0,0,7,15,7,15,13,0,0,0,1,9,16,16,16,3,6\n0,0,3,12,15,2,0,0,0,2,15,6,0,0,0,0,0,4,14,2,9,14,8,0,0,1,13,16,14,4,0,0,0,0,8,16,6,0,0,0,0,0,11,11,15,0,0,0,0,0,11,5,12,2,0,0,0,0,3,12,15,3,0,0,8\n0,0,5,15,16,7,0,0,0,0,8,12,16,16,1,0,0,0,2,7,13,15,0,0,0,0,10,16,16,15,8,0,0,0,2,15,16,16,9,0,0,0,0,8,16,2,0,0,0,0,0,15,9,0,0,0,0,0,4,16,1,0,0,0,7\n0,3,15,16,8,0,0,0,0,10,16,15,13,0,0,0,0,6,9,12,12,0,0,0,0,0,0,14,8,0,0,0,0,0,5,16,4,0,0,0,0,0,13,12,0,1,4,0,0,4,16,14,12,15,9,0,0,3,16,16,13,8,0,0,2\n0,0,8,12,15,16,6,0,0,6,16,16,14,8,0,0,0,12,14,4,1,0,0,0,0,8,15,9,1,0,0,0,0,0,13,16,10,0,0,0,0,0,1,9,15,0,0,0,0,0,3,11,14,0,0,0,0,0,11,15,3,0,0,0,5\n0,0,7,10,0,0,0,0,0,0,12,13,11,6,0,0,0,3,16,16,16,16,6,0,0,8,13,4,5,15,6,0,0,8,12,0,0,10,8,0,0,6,14,1,5,15,4,0,0,4,16,16,16,13,0,0,0,1,12,14,9,1,0,0,0\n0,0,9,15,6,0,0,0,0,3,14,16,16,3,0,0,0,7,11,1,15,4,0,0,0,1,2,0,14,4,0,0,0,0,0,9,13,0,0,0,0,0,3,16,4,0,0,0,0,0,14,16,12,11,4,0,0,0,9,15,14,12,5,0,2\n0,0,6,12,11,6,0,0,0,0,8,16,16,16,3,0,0,0,8,16,16,13,0,0,0,0,8,16,16,12,0,0,0,0,10,16,16,12,0,0,0,3,15,16,16,7,0,0,0,3,15,16,16,2,0,0,0,0,3,8,9,5,0,0,1\n0,0,0,4,11,12,5,0,0,0,1,16,16,16,1,0,0,0,8,16,16,13,0,0,0,1,14,16,16,4,0,0,0,4,16,16,16,4,0,0,0,7,16,16,16,1,0,0,0,1,12,16,16,3,0,0,0,0,0,7,12,8,0,0,1\n0,7,16,15,4,0,0,0,0,11,10,7,13,0,0,0,0,2,3,4,12,0,0,0,0,0,0,12,12,0,0,0,0,0,4,16,6,0,0,0,0,0,13,13,0,0,0,0,0,6,16,16,16,16,8,0,0,4,15,16,16,13,3,0,2\n0,0,8,16,14,2,0,0,0,1,14,6,11,8,0,0,0,8,16,0,4,16,0,0,0,2,11,15,15,16,6,0,0,0,0,6,7,12,6,0,0,0,0,0,0,8,8,0,0,0,12,6,4,13,10,0,0,0,6,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2,12,12,15,8,0,0,5,12,12,15,11,1,0,0,0,0,5,15,3,0,0,0,0,0,11,9,0,0,0,0,0,3,16,2,0,0,0,7\n0,0,6,12,16,16,13,0,0,0,13,12,8,14,16,2,0,0,1,5,7,15,11,0,0,0,13,16,16,16,11,0,0,0,3,9,16,3,0,0,0,0,0,11,13,0,0,0,0,0,5,16,7,0,0,0,0,0,9,15,2,0,0,0,7\n0,0,4,16,13,16,13,0,0,0,12,11,5,4,2,0,0,1,16,1,9,8,2,0,0,8,16,14,10,13,6,0,0,1,4,0,0,9,6,0,0,0,0,0,5,11,1,0,0,0,1,6,14,4,0,0,0,0,6,15,5,0,0,0,5\n0,0,0,2,12,13,8,1,0,0,3,12,5,14,16,2,0,0,11,1,0,12,14,0,0,2,11,3,7,14,3,0,0,3,15,11,5,10,0,0,0,0,0,0,9,6,0,0,0,0,0,1,14,2,0,0,0,0,0,0,14,1,0,0,9\n0,0,1,16,12,2,0,0,0,0,4,15,16,5,0,0,0,0,8,16,13,0,0,0,0,1,12,16,11,0,0,0,0,5,16,16,11,0,0,0,0,0,9,16,9,0,0,0,0,0,4,16,12,1,0,0,0,0,1,14,16,10,0,0,1\n0,0,0,1,13,12,3,0,0,0,6,13,11,12,10,0,0,6,16,11,4,13,7,0,0,8,16,16,16,16,10,0,0,0,4,4,7,16,5,0,0,0,0,0,12,8,0,0,0,0,0,0,13,7,0,0,0,0,0,0,15,4,0,0,4\n0,4,15,16,7,0,0,0,0,4,16,11,16,2,0,0,0,2,6,4,16,3,0,0,0,0,0,1,16,4,0,0,0,0,0,8,14,1,0,0,0,0,2,15,10,0,0,0,0,3,15,16,13,12,11,0,0,5,16,16,15,12,12,0,2\n0,0,3,11,16,15,5,0,0,0,10,6,4,12,10,0,0,0,0,0,0,12,8,0,0,4,12,10,12,16,3,0,0,2,8,5,16,9,0,0,0,0,0,6,11,0,0,0,0,0,0,13,6,0,0,0,0,0,0,15,1,0,0,0,7\n0,0,7,15,6,0,0,0,0,1,15,12,15,0,0,0,0,3,15,1,12,2,0,0,0,0,11,0,13,3,0,0,0,0,0,1,14,1,0,0,0,0,0,7,12,0,0,0,0,0,7,16,16,16,14,3,0,0,6,12,8,8,8,3,2\n0,1,8,13,16,8,0,0,0,11,13,6,8,15,1,0,0,2,1,9,14,5,0,0,0,0,14,16,14,3,0,0,0,0,8,4,10,15,1,0,0,0,0,0,0,13,7,0,0,2,15,8,9,15,1,0,0,1,10,13,13,4,0,0,3\n0,0,0,0,8,16,11,0,0,0,0,13,9,8,14,1,0,0,10,8,0,5,16,4,0,2,15,8,14,14,12,0,0,2,12,9,2,10,6,0,0,0,0,0,2,14,0,0,0,0,0,0,9,7,0,0,0,0,0,0,13,1,0,0,9\n0,0,9,14,12,8,0,0,0,8,13,0,2,16,2,0,0,11,14,14,14,6,0,0,0,1,14,16,13,1,0,0,0,3,15,4,6,12,0,0,0,1,15,0,0,8,9,0,0,3,16,1,3,13,6,0,0,0,8,16,13,6,0,0,8\n0,0,7,16,15,11,5,0,0,0,14,11,8,8,5,0,0,1,16,2,8,5,0,0,0,8,15,15,15,15,3,0,0,8,15,5,0,12,4,0,0,0,0,0,2,15,1,0,0,0,6,8,13,8,0,0,0,0,8,15,10,0,0,0,5\n0,0,0,2,15,2,0,0,0,0,0,12,9,0,0,0,0,0,5,15,2,2,0,0,0,1,13,6,0,14,3,0,0,5,15,0,8,16,1,0,0,9,16,16,16,16,3,0,0,0,4,4,16,7,0,0,0,0,0,3,15,4,0,0,4\n0,0,0,7,15,14,2,0,0,4,13,9,8,16,4,0,0,7,16,6,3,16,3,0,0,0,7,16,16,8,0,0,0,0,1,16,14,14,0,0,0,0,7,11,0,15,8,0,0,0,6,15,5,15,5,0,0,0,0,9,14,7,0,0,8\n0,0,8,14,9,0,0,0,0,6,15,12,16,3,0,0,0,1,3,0,8,4,0,0,0,0,0,0,9,5,0,0,0,0,0,1,15,3,0,0,0,0,0,12,11,0,0,0,0,0,10,16,13,12,6,0,0,0,11,12,12,9,4,0,2\n0,0,0,6,12,12,0,0,0,0,0,15,16,13,0,0,0,0,7,16,16,12,0,0,0,3,16,16,16,11,0,0,0,3,12,16,16,9,0,0,0,0,0,11,16,9,0,0,0,0,0,13,16,10,0,0,0,0,0,9,13,11,0,0,1\n0,0,4,12,12,6,0,0,0,3,16,9,8,15,0,0,0,9,16,3,0,8,6,0,0,6,14,0,0,6,8,0,0,4,11,0,0,9,5,0,0,4,10,0,0,15,2,0,0,0,15,5,9,14,0,0,0,0,7,14,13,2,0,0,0\n0,0,0,1,15,2,0,0,0,0,0,8,16,0,0,0,0,0,2,16,6,6,6,0,0,0,11,13,2,14,9,0,0,6,16,9,10,16,10,0,0,15,16,16,16,16,5,0,0,2,4,4,16,9,0,0,0,0,0,2,16,9,0,0,4\n0,0,7,12,8,0,0,0,0,6,16,11,15,3,0,0,0,10,8,0,11,5,0,0,0,0,0,0,11,3,0,0,0,0,0,0,14,1,0,0,0,0,0,7,13,0,0,0,0,0,8,16,16,14,9,0,0,0,11,13,11,8,9,0,2\n0,0,1,8,13,12,1,0,0,1,15,8,4,14,6,0,0,6,10,0,1,10,8,0,0,7,12,5,11,16,7,0,0,2,11,12,10,16,2,0,0,0,0,0,9,10,0,0,0,0,0,4,16,1,0,0,0,0,0,12,7,0,0,0,9\n0,2,5,7,10,13,4,0,0,3,16,13,12,11,3,0,0,0,16,1,0,0,0,0,0,6,16,16,15,2,0,0,0,3,8,4,10,9,0,0,0,0,0,0,8,11,0,0,0,0,1,9,15,3,0,0,0,2,16,12,2,0,0,0,5\n0,1,10,16,11,0,0,0,0,5,16,9,14,6,0,0,0,1,3,0,11,8,0,0,0,0,0,0,11,8,0,0,0,0,0,4,15,0,0,0,0,0,0,9,11,0,0,0,0,0,11,16,10,12,8,0,0,0,11,12,12,12,14,0,2\n0,0,0,4,13,0,0,0,0,0,0,13,9,0,0,0,0,0,4,15,2,2,4,0,0,1,15,6,0,9,10,0,0,10,16,8,9,16,4,0,0,3,12,12,16,12,0,0,0,0,0,2,16,6,0,0,0,0,0,5,16,3,0,0,4\n0,0,6,9,12,12,8,0,0,2,16,12,8,8,6,0,0,0,15,8,4,0,0,0,0,0,14,16,16,13,1,0,0,0,9,7,5,16,7,0,0,0,0,0,2,16,5,0,0,0,0,6,15,9,0,0,0,0,15,15,7,0,0,0,5\n0,0,2,14,16,15,9,0,0,1,14,11,5,9,14,0,0,4,14,0,3,12,11,0,0,6,13,9,15,15,1,0,0,2,13,15,15,11,0,0,0,0,0,4,15,0,0,0,0,0,1,13,11,0,0,0,0,0,3,16,5,0,0,0,9\n0,0,4,14,12,7,1,0,0,4,13,9,7,16,4,0,0,12,12,0,9,15,1,0,0,3,16,10,15,6,0,0,0,0,5,16,16,3,0,0,0,0,5,13,5,15,3,0,0,0,8,8,7,16,4,0,0,0,3,15,16,9,0,0,8\n0,0,1,9,15,13,1,0,0,0,11,12,6,16,4,0,0,10,15,1,7,14,0,0,0,3,15,14,15,3,0,0,0,0,1,12,15,3,0,0,0,0,0,12,8,13,1,0,0,0,0,12,6,16,2,0,0,0,0,9,15,6,0,0,8\n0,0,4,15,14,7,0,0,0,2,14,10,8,15,2,0,0,8,16,2,1,16,5,0,0,1,14,14,14,12,0,0,0,0,1,15,16,7,0,0,0,0,7,14,8,15,2,0,0,0,8,9,3,14,7,0,0,0,5,16,16,11,1,0,8\n0,0,6,10,11,15,4,0,0,0,10,15,12,12,3,0,0,0,14,6,0,0,0,0,0,5,16,9,9,7,0,0,0,2,12,12,12,16,7,0,0,0,0,0,1,13,7,0,0,0,0,7,13,13,0,0,0,0,9,12,10,1,0,0,5\n0,0,1,9,16,13,1,0,0,0,13,9,5,14,8,0,0,3,14,0,0,13,12,0,0,2,15,12,16,16,3,0,0,0,3,8,11,12,0,0,0,0,0,3,14,2,0,0,0,0,0,12,9,0,0,0,0,0,1,15,3,0,0,0,9\n0,0,0,8,16,10,0,0,0,0,1,14,16,14,0,0,0,1,10,16,16,5,0,0,0,6,16,16,16,3,0,0,0,1,12,16,16,0,0,0,0,0,4,16,15,0,0,0,0,0,4,16,16,4,0,0,0,0,0,11,12,11,0,0,1\n0,0,3,14,9,0,0,0,0,1,16,15,13,10,0,0,0,7,16,2,1,15,2,0,0,7,16,2,0,9,7,0,0,5,16,0,0,9,8,0,0,0,16,4,0,9,11,0,0,0,13,11,9,16,5,0,0,0,3,14,16,9,1,0,0\n0,0,13,12,1,0,0,0,0,11,16,14,12,0,0,0,0,5,8,1,16,1,0,0,0,0,0,0,16,3,0,0,0,0,0,8,16,0,0,0,0,0,3,14,9,0,0,0,0,0,15,16,13,13,11,0,0,0,11,12,12,14,16,2,2\n0,0,0,9,15,7,0,0,0,0,7,16,10,6,0,0,0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0,4,16,16,4,0,0,0,0,3,16,16,5,0,0,0,0,2,15,16,9,0,0,0,0,2,11,16,13,0,0,1\n0,1,8,16,16,6,0,0,0,12,16,15,12,6,0,0,1,16,13,2,0,0,0,0,0,7,16,2,0,0,0,0,0,0,7,15,7,0,0,0,0,0,0,4,14,11,0,0,0,0,1,8,14,16,2,0,0,0,5,16,16,9,0,0,5\n0,0,6,12,13,16,14,1,0,0,6,8,6,10,15,1,0,0,0,0,0,10,12,0,0,0,0,0,5,16,2,0,0,0,1,14,16,14,3,0,0,0,2,13,13,1,0,0,0,0,2,16,6,0,0,0,0,0,9,12,0,0,0,0,7\n0,0,5,15,16,16,9,0,0,0,4,6,5,8,16,2,0,0,0,0,0,9,12,0,0,0,0,6,12,16,11,0,0,0,0,12,16,9,0,0,0,0,0,5,13,1,0,0,0,0,3,14,5,0,0,0,0,0,6,9,0,0,0,0,7\n0,0,0,11,10,1,0,0,0,0,10,16,9,3,0,0,0,0,15,14,0,0,0,0,0,2,16,7,0,0,0,0,0,0,16,5,4,0,0,0,0,0,15,16,16,13,1,0,0,0,6,16,16,16,11,0,0,0,0,6,16,16,9,0,6\n0,1,11,16,11,11,0,0,0,10,14,4,8,14,0,0,0,5,16,1,13,11,0,0,0,0,8,16,15,1,0,0,0,0,7,16,10,0,0,0,0,0,14,11,16,0,0,0,0,2,16,11,12,0,0,0,0,0,12,15,4,0,0,0,8\n0,1,10,15,15,6,0,0,0,8,16,15,14,15,3,0,0,3,6,3,15,15,0,0,0,0,0,12,16,5,0,0,0,0,0,8,16,2,0,0,0,0,0,4,16,8,0,0,0,0,4,15,16,4,0,0,0,0,14,16,7,0,0,0,3\n0,0,7,15,15,4,0,0,0,9,16,10,16,10,0,0,0,0,3,0,14,12,0,0,0,0,0,2,16,5,0,0,0,0,1,14,11,0,0,0,0,0,12,16,0,0,0,0,0,0,12,16,5,4,3,0,0,0,5,14,16,15,8,0,2\n0,0,5,11,16,13,6,0,0,0,5,8,8,14,15,0,0,0,0,0,0,12,15,0,0,0,2,8,12,16,11,0,0,0,8,16,16,16,4,0,0,0,0,8,16,6,0,0,0,0,6,13,15,0,0,0,0,0,6,14,5,0,0,0,7\n0,0,6,14,11,3,0,0,0,1,15,10,16,14,0,0,0,5,14,0,0,11,6,0,0,7,11,0,0,8,8,0,0,8,8,0,0,12,8,0,0,7,9,0,4,16,2,0,0,0,16,12,15,12,0,0,0,0,6,16,11,1,0,0,0\n0,0,0,4,15,0,0,0,0,0,1,14,8,0,0,0,0,0,7,14,0,0,0,0,0,4,16,6,0,11,4,0,0,9,16,0,8,15,2,0,0,13,16,16,16,11,0,0,0,4,8,6,16,8,0,0,0,0,0,2,14,0,0,0,4\n0,0,5,12,13,1,0,0,0,0,7,16,16,10,0,0,0,0,1,13,16,13,0,0,0,0,0,0,10,15,0,0,0,0,0,0,9,15,0,0,0,0,2,5,15,12,0,0,0,0,11,16,16,7,0,0,0,0,4,13,9,0,0,0,9\n0,0,0,6,11,14,3,0,0,0,9,13,8,15,12,0,0,0,0,0,0,10,11,0,0,0,0,0,0,13,9,0,0,0,4,11,13,16,4,0,0,0,3,8,14,12,0,0,0,0,0,3,16,3,0,0,0,0,0,9,14,0,0,0,7\n0,0,6,15,15,4,0,0,0,4,15,16,16,14,0,0,0,12,16,13,16,16,1,0,0,9,16,15,14,16,2,0,0,0,4,2,7,16,1,0,0,0,0,2,15,14,0,0,0,0,1,14,16,6,0,0,0,0,5,15,6,0,0,0,9\n0,0,7,16,10,0,0,0,0,1,16,14,16,9,0,0,0,0,11,16,16,15,0,0,0,0,0,7,13,14,0,0,0,0,0,0,11,14,0,0,0,0,0,0,13,12,0,0,0,0,1,11,15,3,0,0,0,0,6,16,6,0,0,0,9\n0,0,0,10,10,0,0,0,0,1,8,2,12,4,0,0,0,7,14,1,2,12,0,0,0,7,10,0,0,12,3,0,0,3,12,0,0,11,8,0,0,1,15,1,1,15,8,0,0,0,6,14,13,16,4,0,0,0,0,9,14,7,0,0,0\n0,0,3,15,9,1,0,0,0,0,11,14,16,14,1,0,0,4,14,1,3,11,8,0,0,8,9,0,0,8,8,0,0,8,8,0,1,15,4,0,0,7,9,0,7,13,0,0,0,3,14,10,15,3,0,0,0,0,5,13,4,0,0,0,0\n0,2,7,14,16,12,0,0,0,9,16,16,15,13,2,0,0,3,16,7,2,0,0,0,0,0,13,9,0,0,0,0,0,0,7,15,1,0,0,0,0,0,2,15,5,0,0,0,0,1,16,16,7,0,0,0,0,0,9,16,4,0,0,0,5\n0,0,0,11,8,0,0,0,0,0,4,16,15,5,0,0,0,0,6,11,4,15,0,0,0,0,6,4,0,14,4,0,0,0,16,2,0,14,6,0,0,0,14,3,4,16,5,0,0,0,9,14,15,16,1,0,0,0,1,11,14,4,0,0,0\n0,0,9,15,16,9,0,0,0,11,16,9,11,16,2,0,0,5,3,1,14,14,1,0,0,0,0,7,16,5,0,0,0,0,0,4,16,5,0,0,0,0,0,0,10,16,0,0,0,0,1,6,15,13,0,0,0,0,14,15,9,1,0,0,3\n0,0,2,11,11,2,0,0,0,0,11,16,16,5,0,0,0,0,10,16,16,5,0,0,0,0,2,11,14,9,0,0,0,0,0,0,8,12,0,0,0,0,0,0,8,16,0,0,0,0,0,8,15,10,0,0,0,0,1,14,14,3,0,0,9\n0,0,3,12,16,16,16,12,0,0,9,12,8,8,16,11,0,0,1,0,1,8,16,6,0,0,1,12,16,16,14,1,0,0,0,12,15,14,3,0,0,0,0,4,16,6,0,0,0,0,0,15,13,0,0,0,0,0,5,16,3,0,0,0,7\n0,0,8,16,2,3,0,0,0,0,15,11,5,16,1,0,0,0,16,4,9,16,1,0,0,0,8,13,15,12,0,0,0,0,8,16,13,0,0,0,0,0,13,16,7,0,0,0,0,1,16,16,7,0,0,0,0,0,8,13,1,0,0,0,8\n0,0,1,13,15,5,0,0,0,0,10,15,8,6,0,0,0,2,16,6,0,0,0,0,0,4,15,1,4,0,0,0,0,5,13,3,16,11,1,0,0,0,15,1,5,15,5,0,0,0,11,12,8,16,6,0,0,0,0,10,16,10,0,0,6\n0,0,7,9,15,12,1,0,0,8,15,10,9,16,4,0,0,6,3,1,12,14,0,0,0,0,0,6,16,5,0,0,0,0,0,5,15,8,0,0,0,0,0,0,8,16,3,0,0,0,1,7,15,9,0,0,0,0,7,16,8,0,0,0,3\n0,0,3,9,16,13,0,0,0,4,15,12,12,16,0,0,0,8,4,4,14,9,0,0,0,0,0,8,16,7,0,0,0,0,0,1,16,15,0,0,0,0,0,0,0,16,4,0,0,0,0,7,14,15,2,0,0,0,1,15,12,2,0,0,3\n0,0,0,9,15,2,0,0,0,0,8,16,9,1,0,0,0,1,15,12,0,0,0,0,0,3,16,4,0,0,0,0,0,1,16,2,5,0,0,0,0,0,14,16,16,11,1,0,0,0,5,16,16,16,7,0,0,0,0,8,12,13,1,0,6\n0,0,1,8,12,1,0,0,0,0,7,16,11,0,0,0,0,0,13,14,0,0,0,0,0,2,16,10,0,0,0,0,0,1,16,8,5,3,0,0,0,0,14,16,16,16,10,0,0,0,7,16,9,15,16,2,0,0,0,6,12,14,7,0,6\n0,0,10,16,16,16,3,0,0,0,14,16,16,13,5,0,0,0,8,16,4,0,0,0,0,0,1,15,9,0,0,0,0,0,0,11,12,0,0,0,0,0,3,9,16,0,0,0,0,4,16,15,16,0,0,0,0,0,10,16,10,0,0,0,5\n0,0,5,14,16,8,0,0,0,3,16,14,15,15,0,0,0,0,8,3,14,11,0,0,0,0,0,9,15,3,0,0,0,0,3,15,8,0,0,0,0,0,10,14,1,0,0,0,0,0,16,13,4,9,8,0,0,0,5,14,15,12,3,0,2\n0,0,0,12,9,1,0,0,0,0,7,14,12,10,0,0,0,0,11,3,3,16,1,0,0,6,10,0,1,16,2,0,0,5,13,0,2,16,3,0,0,2,14,2,7,16,1,0,0,0,10,14,16,11,0,0,0,0,1,12,12,1,0,0,0\n0,1,8,15,16,8,0,0,0,14,16,16,11,4,0,0,0,4,15,12,0,0,0,0,0,0,6,16,3,0,0,0,0,0,0,10,12,0,0,0,0,0,0,6,16,1,0,0,0,0,12,15,16,1,0,0,0,0,9,16,13,1,0,0,5\n0,0,3,15,13,2,0,0,0,1,13,16,16,0,0,0,0,9,16,16,16,1,0,0,0,0,3,15,16,1,0,0,0,0,0,14,16,6,0,0,0,0,0,9,16,11,0,0,0,0,5,12,16,9,0,0,0,0,4,15,10,1,0,0,1\n0,0,0,1,15,3,0,0,0,0,0,14,15,0,0,0,0,0,10,13,1,3,4,0,0,3,13,3,0,11,9,0,0,9,12,0,7,15,3,0,0,8,16,16,16,10,0,0,0,1,7,6,16,5,0,0,0,0,0,1,12,2,0,0,4\n0,0,2,13,13,3,0,0,0,0,11,12,12,12,0,0,0,2,15,0,1,15,4,0,0,7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8,12,0,0,8,8,0,0,4,14,0,0,5,12,0,0,2,15,5,6,14,6,0,0,0,6,13,15,10,2,0,0\n0,1,10,16,10,1,0,0,0,8,14,5,10,13,2,0,0,1,4,0,11,15,2,0,0,0,0,0,16,7,0,0,0,0,0,0,14,11,0,0,0,0,0,0,0,14,11,0,0,0,10,5,4,10,13,0,0,0,10,14,16,14,9,0,3\n0,2,6,11,8,0,0,0,0,9,16,14,5,0,0,0,0,9,16,12,8,2,0,0,0,8,15,8,11,13,1,0,0,0,0,0,0,8,10,0,0,0,0,0,0,5,14,0,0,0,6,6,4,8,14,0,0,0,5,15,16,15,7,0,5\n0,0,3,12,15,6,0,0,0,1,14,16,14,16,5,0,0,6,16,9,0,13,8,0,0,8,16,0,0,9,8,0,0,7,16,0,0,9,8,0,0,5,16,0,3,15,2,0,0,2,14,15,15,9,0,0,0,0,4,14,9,1,0,0,0\n0,0,0,7,15,0,0,0,0,0,0,9,15,0,0,0,0,0,2,15,7,0,0,0,0,0,9,16,11,5,0,0,0,9,16,16,16,15,7,0,0,5,12,14,16,16,8,0,0,0,0,8,16,0,0,0,0,0,0,8,15,1,0,0,4\n0,0,9,12,2,0,0,0,0,3,16,16,16,16,3,0,0,4,15,13,14,16,6,0,0,2,15,11,16,11,1,0,0,1,14,16,11,0,0,0,0,5,14,6,16,5,0,0,0,7,15,8,13,16,0,0,0,1,7,11,16,13,0,0,8\n0,0,9,14,9,0,0,0,0,6,15,5,16,6,0,0,0,5,14,1,6,13,0,0,0,0,10,14,13,16,0,0,0,0,0,5,5,12,2,0,0,0,0,0,0,9,5,0,0,0,16,9,7,10,8,0,0,0,6,10,14,16,5,0,9\n0,2,15,16,9,0,0,0,0,7,15,12,16,2,0,0,0,9,9,2,16,2,0,0,0,1,0,7,16,0,0,0,0,0,0,14,10,0,0,0,0,1,12,15,2,0,0,0,0,8,16,14,12,12,3,0,0,3,14,16,16,16,7,0,2\n0,0,12,10,0,0,0,0,0,3,13,16,4,0,0,0,0,6,16,16,7,0,0,0,0,0,8,15,9,0,0,0,0,0,0,10,14,0,0,0,0,0,0,6,16,6,0,0,0,0,9,13,16,13,8,3,0,0,9,16,16,16,16,9,1\n0,0,0,10,16,3,0,0,0,0,2,16,7,0,0,0,0,0,9,15,0,0,0,0,0,0,15,12,4,2,0,0,0,1,16,10,0,11,2,0,0,0,16,6,0,5,13,0,0,0,7,14,5,8,16,1,0,0,0,3,12,12,9,0,6\n0,0,2,8,13,13,2,0,0,6,14,14,11,15,3,0,0,10,14,4,10,6,0,0,0,1,14,12,13,0,0,0,0,0,9,15,11,0,0,0,0,0,13,2,11,8,0,0,0,0,8,10,4,14,3,0,0,0,1,8,14,14,1,0,8\n0,0,6,15,15,4,0,0,0,0,11,10,4,2,0,0,0,0,13,11,2,0,0,0,0,0,12,14,12,5,0,0,0,0,0,0,3,15,3,0,0,0,0,0,0,4,11,0,0,0,15,8,3,2,15,0,0,0,5,12,16,16,12,0,5\n0,0,0,11,11,0,0,0,0,0,0,14,11,0,0,0,0,1,12,15,2,0,0,0,0,8,16,8,11,6,2,0,0,5,15,16,16,16,11,0,0,0,1,9,16,7,1,0,0,0,0,8,16,3,0,0,0,0,0,9,16,1,0,0,4\n0,0,5,15,14,12,9,0,0,0,2,4,4,9,15,0,0,0,0,0,1,13,6,0,0,0,3,11,12,16,1,0,0,0,5,13,16,16,4,0,0,0,0,10,12,2,0,0,0,0,4,15,4,0,0,0,0,0,8,9,0,0,0,0,7\n0,0,12,7,0,0,0,0,0,0,9,15,0,0,0,0,0,0,11,16,5,0,0,0,0,0,10,16,7,0,0,0,0,0,0,11,14,0,0,0,0,0,0,6,16,2,0,0,0,0,14,16,16,13,12,3,0,0,8,15,15,14,16,11,1\n0,1,13,10,0,0,0,0,0,7,16,16,7,0,0,0,0,3,13,8,16,0,0,0,0,0,1,5,16,2,0,0,0,0,0,5,16,3,0,0,0,0,4,13,15,1,0,0,0,4,16,16,16,16,8,0,0,2,15,16,14,16,16,5,2\n0,0,8,12,13,3,0,0,0,0,11,15,7,1,0,0,0,0,15,16,14,3,0,0,0,0,4,5,6,13,2,0,0,0,0,0,0,9,7,0,0,0,6,0,0,2,12,0,0,3,15,8,4,10,11,0,0,0,8,12,13,12,3,0,5\n0,0,8,15,7,0,0,0,0,2,16,6,9,3,0,0,0,4,14,1,12,10,0,0,0,0,8,16,16,15,0,0,0,0,0,0,0,14,0,0,0,0,0,0,0,8,7,0,0,1,8,4,1,4,13,0,0,0,5,13,16,16,13,0,9\n0,0,8,12,12,0,0,0,0,0,8,11,2,0,0,0,0,0,15,13,11,3,0,0,0,1,13,8,10,15,1,0,0,0,0,0,0,9,7,0,0,1,1,0,0,8,8,0,0,6,13,4,4,11,8,0,0,1,7,14,16,13,2,0,5\n0,0,7,15,3,0,0,0,0,0,1,16,9,0,0,0,0,0,7,15,15,0,0,0,0,0,10,16,13,0,0,0,0,0,0,6,16,2,0,0,0,0,0,4,16,6,0,0,0,0,9,13,16,13,8,3,0,0,6,15,16,16,16,12,1\n0,0,1,12,14,3,0,0,0,0,10,15,7,0,0,0,0,0,13,8,0,0,0,0,0,0,15,16,11,5,0,0,0,0,14,13,9,14,7,0,0,0,14,6,0,3,14,0,0,0,10,11,4,7,16,1,0,0,1,11,15,14,7,1,6\n0,0,5,15,13,8,3,0,0,0,14,14,10,16,11,0,0,0,11,13,5,12,12,0,0,0,6,16,16,8,1,0,0,1,13,13,14,0,0,0,0,6,10,1,15,7,0,0,0,5,15,7,11,13,0,0,0,0,6,12,16,10,0,0,8\n0,0,5,15,13,7,0,0,0,4,15,8,7,16,4,0,0,6,12,1,10,14,1,0,0,0,0,12,12,2,0,0,0,0,0,14,11,3,0,0,0,0,0,1,10,14,0,0,0,0,0,0,4,14,8,0,0,0,4,16,16,14,4,0,3\n0,0,9,13,7,0,0,0,0,7,14,4,14,4,0,0,0,2,2,3,15,2,0,0,0,0,0,16,11,0,0,0,0,0,0,8,15,11,0,0,0,0,0,0,0,12,7,0,0,0,10,4,2,10,8,0,0,0,7,13,16,16,4,0,3\n0,0,7,14,12,4,0,0,0,0,10,12,12,12,2,0,0,0,9,5,3,14,3,0,0,0,4,13,15,9,0,0,0,0,8,16,8,0,0,0,0,0,15,4,14,1,0,0,0,2,13,5,9,7,0,0,0,0,4,12,16,10,0,0,8\n0,0,0,0,15,7,0,0,0,0,0,2,16,8,0,0,0,0,0,10,16,3,0,0,0,7,16,16,4,12,12,0,0,1,13,16,16,16,9,0,0,0,1,7,14,16,0,0,0,0,0,0,13,15,0,0,0,0,0,0,16,11,0,0,4\n0,0,11,16,10,1,0,0,0,0,16,8,11,13,1,0,0,0,13,7,7,16,1,0,0,0,4,13,14,16,1,0,0,0,0,0,0,15,4,0,0,0,0,0,0,8,11,0,0,1,7,4,5,14,12,0,0,0,8,15,14,11,3,0,9\n0,0,6,14,15,1,0,0,0,0,11,12,4,0,0,0,0,0,15,10,4,1,0,0,0,0,13,13,14,12,1,0,0,0,0,0,0,10,10,0,0,0,0,0,0,4,14,0,0,0,0,2,1,9,14,0,0,0,6,16,16,16,6,0,5\n0,0,0,8,10,0,0,0,0,0,6,16,12,0,0,0,0,0,12,12,1,0,0,0,0,0,15,5,0,0,0,0,0,1,16,3,13,14,2,0,0,0,14,16,15,14,13,0,0,0,9,16,12,10,15,1,0,0,0,6,12,15,8,0,6\n0,0,6,16,2,0,0,0,0,3,16,13,11,0,0,0,0,12,14,2,14,0,0,0,0,2,2,0,16,0,0,0,0,0,0,2,16,1,0,0,0,0,0,10,14,4,3,0,0,0,5,16,16,16,16,0,0,0,6,15,10,8,11,2,2\n0,0,5,13,12,1,0,0,0,2,15,14,15,9,0,0,0,7,16,4,13,16,1,0,0,6,16,14,16,16,6,0,0,0,12,14,9,16,7,0,0,0,0,0,1,16,7,0,0,0,3,4,8,15,5,0,0,0,8,15,15,9,0,0,9\n0,1,14,15,2,0,0,0,0,7,16,16,7,0,0,0,0,14,9,12,11,0,0,0,0,7,4,13,10,0,0,0,0,0,4,16,4,0,0,0,0,0,10,15,2,0,0,0,0,3,16,14,12,12,10,0,0,0,12,16,16,16,16,3,2\n0,0,2,12,16,4,0,0,0,1,13,15,11,12,0,0,0,8,16,8,4,16,0,0,0,2,5,0,6,13,0,0,0,0,0,0,11,8,0,0,0,0,0,7,16,8,1,0,0,0,1,16,16,16,12,0,0,0,2,8,5,6,13,0,2\n0,0,7,15,14,2,0,0,0,0,9,16,16,11,0,0,0,0,3,16,16,11,0,0,0,0,5,16,16,13,0,0,0,0,6,16,16,14,0,0,0,0,6,16,16,12,0,0,0,0,7,16,16,15,6,0,0,0,4,16,16,15,7,0,1\n0,0,4,13,4,0,0,0,0,2,13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2,0,0,0,0,15,6,0,0,0,0,0,3,15,0,0,0,0,4\n0,0,2,12,11,1,0,0,0,1,16,13,9,8,0,0,0,4,14,1,0,11,1,0,0,6,9,0,0,7,5,0,0,4,9,0,0,6,7,0,0,2,12,0,0,10,6,0,0,0,10,9,13,16,2,0,0,0,2,12,14,3,0,0,0\n0,1,10,8,12,15,1,0,0,0,16,16,16,9,1,0,0,0,13,13,3,0,0,0,0,1,16,16,13,2,0,0,0,0,3,1,13,10,0,0,0,0,0,0,8,16,0,0,0,0,8,1,8,16,1,0,0,2,13,16,16,11,0,0,5\n0,0,5,15,16,12,0,0,0,1,16,9,5,16,2,0,0,2,16,2,11,13,0,0,0,0,13,15,15,2,0,0,0,0,12,16,6,0,0,0,0,2,16,8,13,0,0,0,0,2,16,0,12,6,0,0,0,0,6,15,14,8,0,0,8\n0,0,5,14,16,13,2,0,0,0,15,10,5,15,4,0,0,0,0,1,7,15,1,0,0,0,0,11,16,6,0,0,0,0,0,2,10,14,1,0,0,0,2,0,0,9,8,0,0,1,14,6,4,11,9,0,0,0,5,12,14,10,1,0,3\n0,0,4,15,13,1,0,0,0,1,15,11,9,7,0,0,0,3,16,3,5,16,3,0,0,0,8,16,16,16,3,0,0,0,0,2,4,14,6,0,0,0,0,0,0,9,11,0,0,0,0,0,0,7,15,0,0,0,5,12,12,16,8,0,9\n0,0,6,15,1,0,0,0,0,2,16,7,0,0,0,0,0,8,15,0,0,7,3,0,0,11,13,4,8,16,5,0,0,5,16,16,16,10,0,0,0,0,1,14,15,0,0,0,0,0,4,16,6,0,0,0,0,0,10,13,0,0,0,0,4\n0,0,0,4,16,2,0,0,0,0,0,14,11,8,5,0,0,0,10,13,1,12,8,0,0,6,16,1,0,14,6,0,0,10,14,8,13,16,11,0,0,3,11,12,13,14,2,0,0,0,0,1,14,6,0,0,0,0,0,8,13,1,0,0,4\n0,0,4,14,15,5,0,0,0,7,14,7,6,16,0,0,0,10,6,0,0,11,3,0,0,4,2,0,1,14,0,0,0,0,0,0,10,7,0,0,0,0,0,5,13,1,0,0,0,0,6,16,8,0,0,0,0,0,5,9,12,12,16,2,2\n0,0,5,12,14,7,0,0,0,5,16,7,5,16,2,0,0,8,10,0,4,16,4,0,0,2,11,15,11,13,4,0,0,0,0,0,0,8,4,0,0,0,0,0,0,5,8,0,0,1,7,1,0,11,5,0,0,0,5,13,10,9,1,0,9\n0,0,9,16,16,10,0,0,0,2,16,11,6,6,0,0,0,3,16,2,9,15,1,0,0,0,12,13,15,16,2,0,0,0,0,8,9,16,4,0,0,0,0,0,0,16,4,0,0,0,0,0,6,16,3,0,0,0,8,16,16,13,1,0,9\n0,0,0,15,5,0,0,0,0,0,8,16,1,0,0,0,0,1,16,11,0,2,1,0,0,9,16,2,2,15,11,0,0,11,14,9,15,15,3,0,0,3,12,13,16,6,0,0,0,0,0,7,16,1,0,0,0,0,0,13,13,0,0,0,4\n0,6,16,16,16,12,0,0,0,0,7,9,15,13,0,0,0,0,0,4,16,5,0,0,0,6,12,14,16,9,5,0,0,8,13,16,11,11,5,0,0,0,8,14,0,0,0,0,0,2,16,6,0,0,0,0,0,5,16,1,0,0,0,0,7\n0,0,1,15,16,8,0,0,0,0,6,16,15,13,0,0,0,0,5,16,16,11,0,0,0,0,0,15,16,7,0,0,0,0,6,16,15,0,0,0,0,0,13,11,11,7,0,0,0,0,13,10,5,16,0,0,0,0,3,13,16,12,0,0,8\n0,0,15,16,16,16,12,0,0,0,4,8,11,16,9,0,0,0,0,0,11,13,0,0,0,2,4,3,16,4,0,0,0,10,16,16,16,16,4,0,0,1,8,16,9,7,0,0,0,0,8,13,0,0,0,0,0,0,15,6,0,0,0,0,7\n0,0,5,16,16,6,0,0,0,0,13,12,11,13,0,0,0,0,13,10,14,8,0,0,0,0,7,16,14,1,0,0,0,0,8,16,6,0,0,0,0,0,16,13,14,0,0,0,0,0,15,3,12,9,0,0,0,0,5,15,16,7,0,0,8\n0,0,1,14,11,0,0,0,0,0,11,10,8,8,0,0,0,3,16,1,0,10,2,0,0,6,11,0,0,6,6,0,0,7,9,0,0,3,9,0,0,3,13,0,0,5,10,0,0,0,12,5,4,12,4,0,0,0,1,13,16,7,0,0,0\n0,0,1,16,13,0,0,0,0,0,6,16,15,0,0,0,0,7,16,16,12,0,0,0,1,12,16,16,12,0,0,0,0,0,2,10,14,0,0,0,0,0,0,8,16,1,0,0,0,0,0,10,16,0,0,0,0,0,0,12,16,0,0,0,1\n0,0,6,10,15,11,1,0,0,1,15,9,6,12,4,0,0,5,16,0,0,5,6,0,0,4,14,0,0,6,8,0,0,6,9,0,0,12,2,0,0,7,9,0,6,11,0,0,0,3,15,8,15,4,0,0,0,0,10,14,5,0,0,0,0\n0,0,0,3,16,7,0,0,0,0,2,12,16,12,0,0,0,6,15,16,16,8,0,0,0,12,15,6,16,7,0,0,0,0,2,0,15,9,0,0,0,0,0,0,16,7,0,0,0,0,0,2,16,9,0,0,0,0,0,2,15,10,0,0,1\n0,0,1,12,16,7,0,0,0,0,8,16,11,4,0,0,0,0,13,12,0,0,0,0,0,2,16,6,0,0,0,0,0,4,16,13,12,5,0,0,0,6,16,14,12,15,4,0,0,0,11,14,5,14,11,0,0,0,0,12,16,16,8,0,6\n0,0,0,12,16,1,0,0,0,0,2,16,8,2,0,0,0,0,8,16,5,15,0,0,0,0,15,7,8,9,0,0,0,7,16,12,15,16,11,0,0,9,15,10,15,7,5,0,0,0,0,10,7,0,0,0,0,0,0,16,4,0,0,0,4\n0,3,16,16,16,16,3,0,0,0,7,8,12,14,1,0,0,0,0,1,15,4,0,0,0,1,8,11,15,8,8,0,0,10,16,16,16,12,5,0,0,0,5,15,1,0,0,0,0,0,13,7,0,0,0,0,0,3,15,1,0,0,0,0,7\n0,0,7,16,15,3,0,0,0,0,14,13,13,13,1,0,0,0,12,11,8,16,6,0,0,0,2,14,16,16,8,0,0,0,0,2,4,13,9,0,0,0,0,0,0,12,10,0,0,1,13,4,4,14,10,0,0,0,5,15,16,16,8,0,9\n0,0,1,9,12,8,0,0,0,0,11,13,8,12,0,0,0,0,11,7,14,6,0,0,0,0,5,16,9,0,0,0,0,0,10,15,5,0,0,0,0,0,13,1,10,1,0,0,0,0,13,1,8,5,0,0,0,0,3,14,15,3,0,0,8\n0,5,16,15,5,0,0,0,0,3,9,13,15,1,0,0,0,0,0,1,15,6,0,0,0,0,0,2,16,4,0,0,0,0,0,10,14,0,0,0,0,0,3,16,7,0,0,0,0,0,12,16,13,10,7,0,0,7,16,14,12,12,9,0,2\n0,0,0,9,6,0,0,0,0,0,2,15,6,0,0,0,0,0,6,10,0,0,0,0,0,0,11,8,7,2,0,0,0,0,14,15,8,14,5,0,0,0,16,5,0,4,13,0,0,0,9,13,0,7,13,0,0,0,0,11,16,14,2,0,6\n0,0,8,16,14,1,0,0,0,0,6,16,16,8,0,0,0,0,4,16,16,8,0,0,0,0,2,16,16,14,0,0,0,0,1,16,16,11,0,0,0,0,5,16,16,10,0,0,0,0,9,16,16,9,0,0,0,0,13,16,16,9,0,0,1\n0,6,16,15,4,0,0,0,0,8,15,14,14,1,0,0,0,0,2,2,16,6,0,0,0,0,0,1,16,7,0,0,0,0,0,6,15,1,0,0,0,0,1,15,8,0,0,0,0,1,12,16,9,12,8,0,0,10,16,16,15,12,7,0,2\n0,2,14,16,14,2,0,0,0,9,16,5,12,11,0,0,0,2,11,0,8,16,0,0,0,0,0,0,7,16,0,0,0,0,0,1,13,10,0,0,0,0,0,5,16,5,0,0,0,0,7,16,13,8,8,1,0,2,16,16,16,13,11,1,2\n0,0,10,16,16,16,16,6,0,0,4,9,8,11,15,2,0,0,0,0,1,14,6,0,0,0,0,4,8,15,6,0,0,0,8,16,16,11,5,0,0,0,3,14,11,0,0,0,0,0,4,16,1,0,0,0,0,0,12,6,0,0,0,0,7\n0,1,9,15,14,3,0,0,0,7,12,2,10,12,0,0,0,8,11,0,10,16,1,0,0,3,16,8,9,16,3,0,0,0,4,11,11,16,5,0,0,0,0,0,0,9,8,0,0,0,6,4,0,9,8,0,0,0,8,15,16,12,2,0,9\n0,0,7,13,9,1,0,0,0,1,13,5,9,8,0,0,0,7,10,0,5,12,0,0,0,5,15,8,10,16,4,0,0,0,7,9,7,5,8,0,0,0,0,0,0,1,11,0,0,0,3,0,0,5,10,0,0,0,9,16,16,14,3,0,9\n0,0,4,16,16,16,16,16,0,0,3,8,8,8,15,9,0,0,0,0,0,6,14,1,0,0,0,0,1,15,3,0,0,0,3,15,16,13,0,0,0,0,2,11,15,12,2,0,0,0,2,14,6,0,0,0,0,0,8,12,0,0,0,0,7\n0,0,4,12,16,7,0,0,0,0,15,5,4,14,0,0,0,0,15,0,3,15,4,0,0,5,16,4,5,16,4,0,0,0,10,12,11,11,8,0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0,0,0,5,15,10,2,0,0,0,2,15,6,0,0,0,0,0,5,12,0,0,0,0,0,0,4,15,14,16,14,5,0,0,0,16,15,1,5,12,0,0,0,7,15,1,7,14,0,0,0,0,8,16,15,4,0,6\n0,1,11,12,12,12,4,0,0,0,15,8,8,11,7,0,0,0,12,0,0,0,0,0,0,0,13,1,0,0,0,0,0,3,16,15,11,5,0,0,0,0,4,4,10,15,2,0,0,0,12,5,5,14,3,0,0,0,11,13,12,8,0,0,5\n0,0,7,16,16,16,11,0,0,0,12,12,8,8,5,0,0,3,16,2,0,0,0,0,0,9,16,16,10,1,0,0,0,3,7,8,14,13,0,0,0,0,0,0,4,16,3,0,0,0,9,7,11,15,0,0,0,0,7,16,15,3,0,0,5\n0,0,0,3,11,16,5,0,0,0,0,11,16,16,5,0,0,3,13,16,16,14,0,0,0,3,11,12,16,12,0,0,0,0,0,9,16,9,0,0,0,0,0,12,16,10,0,0,0,0,0,9,16,11,0,0,0,0,0,5,13,8,0,0,1\n0,0,0,5,15,2,0,0,0,0,1,15,8,0,0,0,0,0,8,12,0,0,0,0,0,0,12,8,0,0,0,0,0,0,16,10,8,7,0,0,0,1,14,12,8,9,10,0,0,0,5,13,1,8,14,0,0,0,0,6,14,15,5,0,6\n0,0,10,16,16,13,0,0,0,0,13,6,11,16,3,0,0,0,0,6,16,8,0,0,0,0,11,16,12,0,0,0,0,0,6,16,16,13,0,0,0,0,0,0,7,16,7,0,0,3,15,5,10,16,3,0,0,0,14,16,15,5,0,0,3\n0,0,0,4,12,11,1,0,0,0,12,15,10,13,4,0,0,8,10,0,3,15,1,0,0,3,14,5,15,6,0,0,0,0,13,16,11,0,0,0,0,3,15,6,11,12,3,0,0,1,14,10,2,10,10,0,0,0,1,6,11,16,6,0,8\n0,0,4,10,14,3,0,0,0,6,14,8,11,15,0,0,0,8,8,0,7,14,0,0,0,3,14,12,14,2,0,0,0,1,15,15,8,0,0,0,0,3,13,0,10,10,0,0,0,0,11,3,1,15,3,0,0,0,3,12,13,14,0,0,8\n0,0,1,9,14,5,0,0,0,0,8,15,9,14,1,0,0,0,3,14,0,16,4,0,0,0,0,8,14,16,4,0,0,0,0,0,3,13,5,0,0,0,3,0,0,8,7,0,0,3,15,6,2,14,6,0,0,0,1,10,14,14,1,0,9\n0,0,0,10,16,3,0,0,0,0,5,15,5,0,0,0,0,0,12,9,0,0,0,0,0,0,15,3,0,0,0,0,0,2,15,10,8,2,0,0,0,1,13,13,10,14,0,0,0,0,5,12,2,14,6,0,0,0,0,7,16,16,2,0,6\n0,0,0,10,12,4,0,0,0,0,7,12,6,13,0,0,0,0,7,9,2,13,0,0,0,0,1,15,15,6,0,0,0,0,7,15,11,9,0,0,0,0,16,1,0,10,9,0,0,0,13,5,0,0,15,0,0,0,1,9,14,14,12,0,8\n0,3,16,15,3,0,0,0,0,2,10,12,10,0,0,0,0,0,0,7,12,0,0,0,0,0,0,8,12,0,0,0,0,0,1,15,6,0,0,0,0,0,5,15,1,0,0,0,0,2,15,12,7,4,0,0,0,2,15,16,16,16,16,3,2\n0,0,12,12,16,16,9,0,0,0,8,6,4,13,8,0,0,0,0,4,8,16,6,0,0,3,16,16,16,11,4,0,0,0,3,9,9,0,0,0,0,0,3,14,0,0,0,0,0,0,11,7,0,0,0,0,0,0,14,3,0,0,0,0,7\n0,0,0,1,15,3,0,0,0,0,1,11,11,1,0,0,0,0,10,13,0,10,0,0,0,6,16,6,6,15,3,0,0,8,16,16,16,16,9,0,0,0,2,4,15,4,0,0,0,0,0,1,16,1,0,0,0,0,0,2,15,0,0,0,4\n0,0,0,8,14,3,4,0,0,0,1,15,8,9,10,0,0,0,11,12,1,15,4,0,0,4,16,4,5,16,4,0,0,11,16,16,16,16,10,0,0,4,12,13,16,8,1,0,0,0,0,6,14,0,0,0,0,0,0,11,8,0,0,0,4\n0,0,0,11,13,1,0,0,0,0,12,14,9,2,0,0,0,4,15,3,0,0,0,0,0,7,12,12,12,6,1,0,0,7,16,13,8,12,7,0,0,4,16,6,0,7,11,0,0,0,12,10,5,16,6,0,0,0,2,10,15,10,0,0,6\n0,0,7,13,3,0,0,0,0,2,16,16,10,0,0,0,0,6,14,8,14,0,0,0,0,7,9,4,16,1,0,0,0,0,0,7,12,0,0,0,0,0,4,15,10,6,1,0,0,0,8,16,16,16,6,0,0,0,5,11,12,15,3,0,2\n0,0,9,16,9,1,0,0,0,2,16,13,16,11,0,0,0,9,13,0,10,16,4,0,0,4,15,12,13,16,6,0,0,0,5,12,13,16,7,0,0,0,0,0,0,15,8,0,0,0,9,6,11,16,2,0,0,0,9,13,11,3,0,0,9\n0,3,14,14,2,0,0,0,0,10,15,14,11,0,0,0,0,11,7,5,16,0,0,0,0,1,2,0,16,3,0,0,0,0,0,7,12,0,0,0,0,0,1,12,15,7,0,0,0,1,15,16,16,16,11,0,0,1,10,10,5,6,7,0,2\n0,1,12,16,11,4,0,0,0,4,16,10,11,12,0,0,0,0,16,6,0,0,0,0,0,2,16,16,7,0,0,0,0,0,3,9,15,6,0,0,0,0,0,0,8,13,0,0,0,0,2,4,9,15,0,0,0,0,11,16,15,6,0,0,5\n0,0,4,11,0,0,0,0,0,0,11,13,0,0,0,0,0,2,15,8,0,0,0,0,0,3,16,4,0,0,0,0,0,7,16,16,16,9,0,0,0,4,16,12,9,16,7,0,0,2,15,9,6,16,9,0,0,0,4,15,16,13,2,0,6\n0,0,0,14,6,0,0,0,0,0,4,16,6,0,0,0,0,0,10,14,1,0,0,0,0,0,14,15,3,0,0,0,0,2,16,16,16,13,1,0,0,3,16,13,6,15,11,0,0,0,10,16,5,15,13,0,0,0,1,10,16,15,7,0,6\n0,0,2,14,6,0,0,0,0,0,11,16,7,0,0,0,0,0,16,16,0,0,0,0,0,3,16,12,0,0,0,0,0,5,16,16,16,11,1,0,0,4,16,16,14,16,6,0,0,0,12,16,11,16,10,0,0,0,1,11,15,11,2,0,6\n0,0,7,14,13,13,8,0,0,0,9,12,14,16,13,0,0,0,0,0,9,16,3,0,0,0,2,10,16,15,7,0,0,1,14,16,16,13,7,0,0,0,3,16,13,0,0,0,0,0,5,16,7,0,0,0,0,0,9,13,2,0,0,0,7\n0,0,6,14,6,0,0,0,0,1,16,13,16,6,0,0,0,4,16,6,14,16,2,0,0,0,11,16,16,16,6,0,0,0,0,3,6,15,9,0,0,0,0,0,0,10,13,0,0,0,15,9,6,13,11,0,0,0,4,14,15,10,3,0,9\n0,5,12,14,16,14,4,0,0,7,16,11,7,4,2,0,0,7,16,0,0,0,0,0,0,8,16,16,13,1,0,0,0,5,12,12,16,8,0,0,0,0,0,0,9,15,0,0,0,2,8,8,15,11,0,0,0,3,14,11,6,0,0,0,5\n0,0,0,7,16,3,0,0,0,0,0,15,12,0,0,0,0,0,9,16,2,7,13,0,0,4,15,7,1,15,8,0,0,9,16,16,16,16,7,0,0,3,8,8,15,13,1,0,0,0,0,3,16,4,0,0,0,0,0,10,9,0,0,0,4\n0,0,0,7,8,0,0,0,0,0,3,16,4,0,0,0,0,0,14,10,0,6,3,0,0,4,16,9,4,16,8,0,0,3,16,16,16,16,6,0,0,0,4,6,16,12,0,0,0,0,0,3,16,6,0,0,0,0,0,7,13,0,0,0,4\n0,0,6,16,16,14,4,0,0,0,4,7,8,16,7,0,0,0,0,0,4,16,5,0,0,0,9,16,16,16,3,0,0,0,14,15,16,10,4,0,0,0,1,14,10,0,0,0,0,0,5,16,6,0,0,0,0,0,7,15,2,0,0,0,7\n0,0,6,12,12,9,0,0,0,0,11,16,16,13,0,0,0,0,9,16,16,12,0,0,0,0,14,16,16,12,0,0,0,0,12,16,16,12,0,0,0,2,16,16,16,9,0,0,0,1,15,16,15,2,0,0,0,0,7,11,3,0,0,0,1\n0,0,6,14,15,0,0,0,0,1,16,9,16,3,0,0,0,0,1,3,16,2,0,0,0,0,4,16,15,4,0,0,0,0,4,8,14,16,3,0,0,0,0,0,0,16,4,0,0,0,3,7,10,15,2,0,0,0,7,15,9,1,0,0,3\n0,0,9,16,16,16,5,0,0,0,6,8,11,16,10,0,0,0,0,0,9,16,5,0,0,0,1,8,15,15,3,0,0,0,9,16,16,16,7,0,0,0,2,15,14,0,0,0,0,0,9,16,7,0,0,0,0,0,9,16,5,0,0,0,7\n0,3,11,16,15,6,0,0,0,5,10,8,14,11,0,0,0,0,0,1,15,6,0,0,0,0,0,11,16,5,0,0,0,0,0,1,13,15,2,0,0,0,0,0,0,13,6,0,0,1,7,5,4,14,7,0,0,2,12,12,15,11,1,0,3\n0,0,1,11,15,4,0,0,0,1,13,13,14,16,0,0,0,8,15,1,10,16,4,0,0,1,15,14,16,14,2,0,0,0,6,16,15,2,0,0,0,0,8,15,14,9,0,0,0,0,11,16,10,16,3,0,0,0,2,12,13,12,1,0,8\n0,0,11,16,16,14,4,0,0,3,16,10,11,9,5,0,0,5,15,3,0,0,0,0,0,4,16,16,15,3,0,0,0,3,13,12,15,14,0,0,0,0,0,0,6,16,0,0,0,0,4,12,16,10,0,0,0,0,9,11,6,0,0,0,5\n0,0,9,14,16,16,5,0,0,0,6,16,7,11,10,0,0,0,0,15,7,9,9,0,0,0,0,12,15,15,3,0,0,0,7,16,16,6,0,0,0,3,14,2,16,2,0,0,0,5,15,5,16,4,0,0,0,1,11,16,12,0,0,0,8\n0,0,6,11,16,14,2,0,0,1,16,15,7,4,1,0,0,4,16,13,2,0,0,0,0,6,16,16,16,8,0,0,0,1,6,5,11,16,3,0,0,0,0,0,0,16,5,0,0,0,1,5,11,16,2,0,0,0,7,15,10,5,0,0,5\n0,0,5,14,7,1,0,0,0,2,15,14,16,10,0,0,0,2,16,6,12,16,0,0,0,1,11,5,10,16,0,0,0,0,0,0,16,9,0,0,0,0,3,5,16,5,0,0,0,0,13,16,15,7,5,0,0,0,5,8,10,13,13,0,2\n0,0,0,11,4,0,0,0,0,0,6,16,9,0,0,0,0,0,12,15,1,0,0,0,0,0,16,10,3,0,0,0,0,2,16,16,16,10,1,0,0,0,15,14,4,11,11,0,0,0,9,15,2,6,16,0,0,0,0,9,16,16,12,2,6\n0,0,0,8,15,0,0,0,0,0,3,16,10,0,6,0,0,1,13,14,2,10,15,0,0,7,16,16,13,15,13,0,0,3,10,14,16,16,10,0,0,0,0,0,13,15,0,0,0,0,0,3,16,8,0,0,0,0,0,9,15,1,0,0,4\n0,0,5,12,13,11,3,0,0,2,16,12,8,6,3,0,0,4,16,9,3,0,0,0,0,7,16,16,16,7,0,0,0,3,8,4,11,14,0,0,0,0,0,0,4,16,2,0,0,0,2,6,12,16,2,0,0,0,8,12,8,3,0,0,5\n0,0,9,16,7,0,0,0,0,0,13,15,14,7,0,0,0,0,15,10,7,15,0,0,0,0,5,4,5,13,0,0,0,0,0,0,8,12,0,0,0,0,1,4,13,10,0,0,0,0,12,16,16,13,8,1,0,0,4,12,9,9,12,5,2\n0,0,10,15,14,4,0,0,0,1,15,13,13,15,2,0,0,0,0,4,14,14,0,0,0,0,6,16,16,6,0,0,0,0,3,10,16,12,0,0,0,0,0,0,9,16,8,0,0,1,15,8,13,16,4,0,0,0,10,14,11,6,1,0,3\n0,0,4,12,15,16,16,2,0,0,3,6,4,13,15,1,0,0,0,0,2,15,6,0,0,0,0,1,12,13,0,0,0,4,16,16,16,12,4,0,0,1,3,12,14,0,0,0,0,0,3,16,6,0,0,0,0,0,5,15,2,0,0,0,7\n0,0,0,5,14,1,0,0,0,0,1,14,7,0,3,0,0,0,9,14,1,6,15,0,0,3,16,12,4,12,8,0,0,0,7,10,14,16,4,0,0,0,0,0,10,13,0,0,0,0,0,1,16,3,0,0,0,0,0,6,12,0,0,0,4\n0,1,15,15,2,0,0,0,0,9,15,12,10,0,0,0,0,8,10,8,12,0,0,0,0,1,1,5,15,0,0,0,0,0,0,6,14,0,0,0,0,0,0,10,14,1,0,0,0,0,11,16,16,16,10,0,0,0,14,13,8,10,7,0,2\n0,0,3,14,12,15,11,0,0,0,2,8,8,15,14,0,0,0,0,0,0,15,5,0,0,0,2,4,9,16,1,0,0,4,15,16,16,16,6,0,0,2,4,11,13,1,0,0,0,0,1,16,7,0,0,0,0,0,4,14,2,0,0,0,7\n0,1,11,16,14,7,0,0,0,6,16,10,8,4,0,0,0,0,16,1,0,0,0,0,0,1,16,9,5,0,0,0,0,0,12,12,15,2,0,0,0,0,0,0,9,8,0,0,0,0,9,8,14,9,0,0,0,0,9,15,9,1,0,0,5\n0,1,10,14,2,0,0,0,0,4,16,14,6,0,0,0,0,5,9,8,8,0,0,0,0,0,1,13,7,0,0,0,0,0,3,16,1,0,0,0,0,0,6,14,0,2,2,0,0,0,16,16,16,16,12,0,0,0,15,13,10,9,8,0,2\n0,0,11,13,8,0,0,0,0,5,16,11,16,16,6,0,0,7,16,1,9,15,3,0,0,1,13,14,13,14,0,0,0,0,4,16,16,5,0,0,0,0,14,10,13,10,0,0,0,4,16,6,10,12,0,0,0,1,11,16,15,5,0,0,8\n0,0,0,13,9,0,0,0,0,0,8,16,13,0,0,0,0,4,16,16,15,1,0,0,0,0,3,10,16,4,0,0,0,0,0,14,16,3,0,0,0,0,0,15,16,3,0,0,0,0,5,16,16,10,0,0,0,0,0,10,12,11,1,0,1\n0,0,0,6,9,0,0,0,0,0,0,12,12,8,0,0,0,0,0,16,7,12,0,0,0,0,6,11,7,10,0,0,0,1,14,4,13,13,5,0,0,5,16,16,16,13,5,0,0,0,4,6,16,9,0,0,0,0,0,8,16,7,0,0,4\n0,0,9,14,7,1,0,0,0,6,16,10,15,5,0,0,0,7,15,0,12,8,0,0,0,0,0,3,16,4,0,0,0,0,0,7,14,0,0,0,0,0,2,16,5,0,1,0,0,0,8,15,13,16,15,2,0,0,8,14,11,6,10,2,2\n0,0,3,12,11,1,0,0,0,0,12,15,11,10,0,0,0,0,12,7,2,14,0,0,0,0,0,0,3,16,0,0,0,0,0,0,13,11,0,0,0,0,0,10,15,1,0,0,0,0,5,16,12,9,8,1,0,0,3,11,15,12,16,4,2\n0,0,2,11,12,4,0,0,0,0,11,15,14,11,0,0,0,0,3,9,12,11,0,0,0,0,0,10,16,14,2,0,0,0,0,2,5,13,7,0,0,0,6,0,0,9,11,0,0,0,14,13,8,14,9,0,0,0,5,15,14,11,1,0,3\n0,0,0,6,10,0,0,0,0,0,0,12,5,0,0,0,0,0,2,14,2,5,0,0,0,0,12,7,4,14,0,0,0,3,16,4,10,14,5,0,0,7,16,16,16,12,5,0,0,0,0,2,16,1,0,0,0,0,0,5,14,1,0,0,4\n0,0,0,11,7,0,0,0,0,0,0,16,8,2,0,0,0,0,6,16,9,15,0,0,0,0,11,10,11,15,0,0,0,4,16,12,16,16,9,0,0,11,16,16,16,13,6,0,0,1,4,11,16,0,0,0,0,0,0,11,13,0,0,0,4\n0,0,2,14,13,5,0,0,0,0,8,16,16,10,0,0,0,6,16,16,16,7,0,0,0,9,16,16,16,3,0,0,0,0,7,16,16,2,0,0,0,0,8,16,16,6,0,0,0,0,10,16,16,11,0,0,0,0,3,13,14,7,0,0,1\n0,0,3,15,12,3,0,0,0,0,9,16,16,5,0,0,0,3,14,16,16,5,0,0,0,7,16,16,16,3,0,0,0,0,3,16,16,3,0,0,0,0,0,16,16,4,0,0,0,0,7,15,16,6,0,0,0,0,6,16,14,3,0,0,1\n0,0,5,15,8,2,0,0,0,0,15,16,14,12,0,0,0,5,13,2,0,14,3,0,0,5,11,0,0,8,8,0,0,8,8,0,0,12,5,0,0,3,14,0,0,15,4,0,0,0,13,12,10,14,0,0,0,0,4,14,15,4,0,0,0\n0,0,0,9,16,4,0,0,0,0,6,16,16,4,0,0,0,0,11,15,1,0,0,0,0,0,14,13,0,0,0,0,0,0,16,16,16,9,0,0,0,1,16,12,8,14,5,0,0,0,11,15,9,15,9,0,0,0,0,10,13,15,3,0,6\n0,0,9,13,7,0,0,0,0,2,16,12,15,12,2,0,0,8,11,0,4,16,4,0,0,8,13,1,8,16,7,0,0,1,15,16,13,15,8,0,0,0,0,2,0,9,12,0,0,0,6,9,9,15,9,0,0,0,6,16,14,8,1,0,9\n0,2,11,14,12,9,0,0,0,8,13,6,9,14,4,0,0,5,16,5,1,14,6,0,0,0,8,16,16,13,1,0,0,0,3,16,16,10,0,0,0,1,14,9,7,13,0,0,0,1,16,5,7,16,1,0,0,0,14,16,16,9,0,0,8\n0,0,6,12,14,2,0,0,0,1,16,14,13,11,0,0,0,0,5,3,9,13,0,0,0,0,3,9,16,8,0,0,0,0,4,12,12,15,7,0,0,0,0,0,0,9,14,0,0,0,4,8,6,12,14,1,0,0,6,16,16,15,4,0,3\n0,0,4,12,10,1,0,0,0,1,15,9,14,4,0,0,0,0,7,3,13,4,0,0,0,0,0,16,16,6,0,0,0,0,0,2,5,14,4,0,0,0,3,0,0,8,12,0,0,0,15,8,5,15,9,0,0,0,3,13,16,10,0,0,3\n0,0,10,15,11,2,0,0,0,2,16,7,14,10,0,0,0,3,16,1,9,16,1,0,0,0,11,14,15,16,5,0,0,0,1,4,5,10,7,0,0,0,0,0,0,11,9,0,0,0,9,8,9,15,6,0,0,0,7,15,12,6,0,0,9\n0,0,5,15,4,0,0,0,0,0,15,14,15,0,0,0,0,2,15,3,14,2,0,0,0,0,3,0,14,4,0,0,0,0,0,2,15,0,0,0,0,0,0,10,10,0,0,0,0,0,6,16,8,10,14,0,0,0,7,12,12,12,12,1,2\n0,0,0,11,4,0,0,0,0,0,0,14,5,1,0,0,0,0,4,13,8,8,0,0,0,0,10,5,10,6,0,0,0,3,16,5,14,12,3,0,0,8,16,16,15,14,6,0,0,0,4,8,8,0,0,0,0,0,0,8,9,0,0,0,4\n0,0,5,11,15,5,0,0,0,0,14,13,9,6,0,0,0,1,15,9,1,0,0,0,0,4,16,16,14,2,0,0,0,0,6,3,6,10,0,0,0,0,0,0,1,14,0,0,0,0,5,10,10,14,0,0,0,0,5,15,16,9,0,0,5\n0,0,0,6,8,0,0,0,0,0,0,15,3,0,0,0,0,0,2,14,2,11,0,0,0,0,9,8,5,10,0,0,0,0,14,2,8,7,2,0,0,4,16,9,14,16,8,0,0,2,8,12,16,5,2,0,0,0,0,6,13,2,0,0,4\n0,0,2,8,14,2,0,0,0,0,9,16,10,1,0,0,0,1,16,9,1,0,0,0,0,2,16,16,14,3,0,0,0,0,15,10,7,14,0,0,0,0,14,1,0,13,4,0,0,0,7,10,5,15,4,0,0,0,0,9,16,12,0,0,6\n0,0,0,2,9,0,0,0,0,0,0,5,10,0,0,0,0,0,0,12,4,8,0,0,0,0,4,12,6,13,0,0,0,0,10,8,8,10,0,0,0,7,16,13,16,15,2,0,0,6,10,11,16,8,0,0,0,0,0,4,13,0,0,0,4\n0,0,11,10,7,4,0,0,0,2,15,8,16,16,2,0,0,9,11,0,8,16,1,0,0,5,16,9,15,16,6,0,0,0,5,10,4,12,8,0,0,0,0,0,0,10,9,0,0,0,6,7,10,15,5,0,0,1,12,15,12,3,0,0,9\n0,0,8,14,8,0,0,0,0,6,15,12,15,4,0,0,0,6,8,0,11,8,0,0,0,0,0,14,16,8,0,0,0,0,1,11,10,15,6,0,0,0,0,0,0,8,12,0,0,0,7,8,6,13,14,0,0,0,12,14,16,13,1,0,3\n0,0,2,12,14,1,0,0,0,0,13,16,12,12,0,0,0,1,16,5,0,15,4,0,0,3,16,3,0,11,7,0,0,6,12,0,0,12,5,0,0,4,16,3,2,15,7,0,0,0,15,12,14,13,1,0,0,0,4,15,13,2,0,0,0\n0,0,0,5,15,0,0,0,0,0,1,15,11,0,0,0,0,0,3,16,16,7,0,0,0,0,10,15,13,12,0,0,0,1,15,14,15,16,9,0,0,8,16,16,16,14,6,0,0,2,10,10,16,7,0,0,0,0,0,6,15,2,0,0,4\n0,0,3,14,12,1,0,0,0,0,14,15,13,12,0,0,0,0,16,2,0,14,2,0,0,1,14,0,0,10,6,0,0,2,15,0,0,13,5,0,0,3,16,1,1,15,6,0,0,0,13,10,13,15,1,0,0,0,2,12,14,6,0,0,0\n0,8,16,16,16,16,9,0,0,5,12,12,14,16,9,0,0,0,0,2,15,13,0,0,0,0,0,9,16,5,0,0,0,0,2,16,13,0,0,0,0,0,11,16,4,0,0,0,0,7,16,15,0,0,0,0,0,6,16,11,0,0,0,0,7\n0,0,0,11,15,4,0,0,0,3,7,16,16,8,0,0,0,12,16,16,16,5,0,0,0,3,8,13,16,5,0,0,0,0,0,8,16,10,0,0,0,0,0,8,16,14,1,0,0,0,0,10,16,16,2,0,0,0,0,6,14,12,5,0,1\n0,0,9,12,14,7,0,0,0,0,12,14,9,8,0,0,0,0,12,8,1,0,0,0,0,0,15,16,14,1,0,0,0,0,6,8,10,10,0,0,0,0,0,0,8,11,0,0,0,0,7,13,16,8,0,0,0,0,8,15,8,0,0,0,5\n0,0,5,16,14,3,0,0,0,0,2,14,16,10,0,0,0,0,0,12,16,8,0,0,0,0,0,14,16,6,0,0,0,0,1,16,16,3,0,0,0,0,3,15,16,0,0,0,0,0,0,15,16,9,0,0,0,0,0,13,16,11,0,0,1\n0,2,13,10,0,0,0,0,0,8,15,14,7,0,0,0,0,8,5,4,12,0,0,0,0,2,3,2,15,0,0,0,0,0,0,4,9,0,0,0,0,0,0,11,9,0,0,0,0,0,9,16,14,12,10,0,0,0,16,13,12,14,11,0,2\n0,0,13,14,2,0,0,0,0,5,16,15,10,0,0,0,0,4,8,0,16,0,0,0,0,0,2,3,12,0,0,0,0,0,0,5,11,0,0,0,0,0,2,13,6,0,0,0,0,0,13,16,14,15,14,0,0,0,8,8,8,12,15,0,2\n0,0,0,0,13,8,0,0,0,0,0,2,16,6,0,0,0,0,0,7,16,7,3,0,0,0,1,13,12,15,7,0,0,3,12,14,5,16,3,0,2,15,16,16,16,16,1,0,5,12,13,16,16,15,0,0,0,0,0,0,15,6,0,0,4\n0,0,0,1,12,1,0,0,0,0,0,4,15,0,0,0,0,0,0,6,11,8,2,0,0,0,1,13,4,16,1,0,0,4,12,10,9,14,0,0,0,15,16,16,16,12,0,0,1,8,7,7,15,9,0,0,0,0,0,0,16,5,0,0,4\n0,0,4,16,15,7,0,0,0,0,6,16,10,13,2,0,0,0,2,15,12,15,6,0,0,0,3,14,15,13,2,0,0,2,15,15,15,9,0,0,0,6,16,2,7,13,0,0,0,3,16,11,8,16,4,0,0,0,4,12,16,13,1,0,8\n0,0,10,16,10,3,0,0,0,1,16,9,13,12,0,0,0,1,13,2,7,16,3,0,0,0,12,16,16,16,8,0,0,0,1,4,2,8,8,0,0,0,0,0,0,7,9,0,0,1,14,9,8,14,6,0,0,0,8,13,13,7,0,0,9\n0,2,12,13,1,0,0,0,0,10,15,14,11,0,0,0,0,12,9,5,12,0,0,0,0,4,5,4,16,0,0,0,0,0,0,9,9,0,0,0,0,0,1,13,8,0,1,0,0,1,16,16,14,14,11,0,0,2,13,12,12,12,6,0,2\n0,0,1,14,4,0,0,0,0,0,7,14,2,0,0,0,0,0,10,14,0,0,0,0,0,0,13,9,0,0,0,0,0,0,14,10,8,1,0,0,0,0,14,16,16,14,4,0,0,0,12,16,9,14,15,0,0,0,1,11,15,13,11,2,6\n0,0,15,16,12,4,0,0,0,0,11,16,11,16,4,0,0,0,4,16,11,16,6,0,0,0,3,16,16,14,1,0,0,0,12,14,16,5,0,0,0,3,16,1,14,12,0,0,0,6,15,4,11,13,0,0,0,1,10,16,11,2,0,0,8\n0,0,0,3,14,5,0,0,0,0,0,6,16,13,1,0,0,0,0,8,16,13,1,0,0,0,0,9,16,11,0,0,0,5,14,16,16,12,0,0,0,0,2,9,16,16,4,0,0,0,0,5,16,16,8,0,0,0,0,3,13,14,5,0,1\n0,0,4,15,0,0,0,0,0,0,13,5,0,0,0,0,0,0,16,0,0,0,0,0,0,4,13,0,0,0,0,0,0,7,15,8,9,3,0,0,0,6,16,12,13,16,4,0,0,0,15,8,2,14,7,0,0,0,4,15,13,6,0,0,6\n0,0,3,12,16,8,0,0,0,0,12,12,15,12,0,0,0,0,0,0,7,12,0,0,0,0,0,0,13,7,0,0,0,0,4,15,16,9,1,0,0,0,5,15,16,16,3,0,0,0,0,14,14,5,0,0,0,0,4,15,3,0,0,0,7\n0,0,0,14,5,0,0,0,0,0,9,13,1,0,0,0,0,0,15,6,0,0,0,0,0,3,16,3,0,0,0,0,0,7,12,8,16,8,0,0,0,4,16,15,9,15,4,0,0,0,12,12,4,10,12,0,0,0,1,12,15,16,6,0,6\n0,0,14,15,16,7,0,0,0,4,15,8,12,14,0,0,0,0,2,4,15,9,0,0,0,0,0,8,16,8,0,0,0,0,0,1,11,16,3,0,0,0,0,0,0,10,10,0,0,1,11,11,8,14,11,0,0,1,10,12,14,13,4,0,3\n0,0,6,11,2,0,0,0,0,1,16,12,14,3,0,0,0,0,13,3,11,15,0,0,0,0,6,16,15,16,5,0,0,0,0,4,8,10,10,0,0,0,0,0,0,1,15,0,0,0,1,1,2,7,15,5,0,0,4,12,16,16,13,2,9\n0,0,7,11,12,11,3,0,0,0,15,16,7,10,11,0,0,0,10,12,5,13,9,0,0,0,3,16,16,10,1,0,0,0,8,13,13,3,0,0,0,0,15,0,11,5,0,0,0,1,13,0,10,9,0,0,0,0,10,16,12,1,0,0,8\n0,0,0,0,13,7,0,0,0,0,0,0,14,7,0,0,0,0,0,3,15,2,0,0,0,0,1,13,7,11,2,0,0,5,14,16,10,16,2,0,0,15,16,16,16,15,1,0,0,0,0,0,10,12,0,0,0,0,0,0,15,7,0,0,4\n0,1,9,13,11,4,0,0,0,2,16,12,12,15,0,0,0,0,14,13,13,11,0,0,0,0,12,16,13,0,0,0,0,0,14,16,11,0,0,0,0,6,13,7,16,4,0,0,0,7,14,1,13,15,1,0,0,1,13,15,12,9,0,0,8\n0,0,5,16,15,6,0,0,0,0,9,15,13,10,0,0,0,0,11,15,11,4,0,0,0,0,2,12,13,16,2,0,0,0,0,0,0,7,10,0,0,0,0,0,0,4,13,0,0,0,13,11,8,14,11,0,0,0,4,11,15,15,4,0,5\n0,1,13,12,4,0,0,0,0,1,16,12,16,6,0,0,0,0,16,7,14,10,0,0,0,0,9,14,16,13,0,0,0,0,0,7,9,15,1,0,0,0,0,0,0,10,8,0,0,0,4,5,4,10,15,0,0,0,6,13,16,14,6,0,9\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0,0,0,7,16,4,0,0,0,0,0,10,11,0,0,4\n0,0,9,14,11,1,0,0,0,3,15,5,5,10,0,0,0,6,14,4,7,12,0,0,0,1,10,16,16,7,0,0,0,0,11,14,12,13,1,0,0,0,16,1,0,8,6,0,0,0,16,5,4,10,8,0,0,0,7,16,16,12,1,0,8\n0,0,0,1,15,3,0,0,0,0,0,12,15,0,0,0,0,0,8,16,1,5,12,0,0,4,15,11,3,12,13,0,0,11,16,16,16,16,7,0,0,3,8,10,15,16,1,0,0,0,0,0,15,10,0,0,0,0,0,1,16,5,0,0,4\n0,2,8,12,15,15,2,0,0,13,16,16,13,12,3,0,0,12,16,9,0,0,0,0,0,6,16,16,7,0,0,0,0,0,4,10,15,0,0,0,0,0,2,4,16,4,0,0,0,4,16,16,13,0,0,0,0,0,15,15,5,0,0,0,5\n0,1,9,16,13,2,0,0,0,7,13,7,8,12,0,0,0,10,11,0,4,16,0,0,0,2,16,16,16,12,0,0,0,0,14,15,16,14,1,0,0,0,15,6,0,9,9,0,0,0,13,12,8,12,9,0,0,0,6,13,12,11,4,0,8\n0,0,0,9,12,0,0,0,0,0,4,15,6,1,8,0,0,1,13,12,0,11,14,1,0,10,16,6,5,16,9,0,0,9,16,16,16,16,10,0,0,0,1,5,16,11,0,0,0,0,0,4,16,5,0,0,0,0,0,12,11,0,0,0,4\n0,1,8,10,14,15,6,0,0,6,16,11,7,5,2,0,0,3,16,8,0,0,0,0,0,2,16,16,10,0,0,0,0,0,1,3,13,2,0,0,0,0,0,0,9,4,0,0,0,0,11,11,14,1,0,0,0,0,11,9,2,0,0,0,5\n0,0,4,12,7,0,0,0,0,0,13,11,12,4,0,0,0,0,8,0,3,10,0,0,0,0,0,0,2,13,0,0,0,0,0,0,9,8,0,0,0,0,0,3,16,1,0,0,0,0,8,16,15,14,14,1,0,0,6,12,12,10,10,2,2\n0,0,5,16,16,10,0,0,0,0,9,16,16,15,0,0,0,0,7,16,16,11,0,0,0,0,9,16,16,11,0,0,0,0,8,16,16,12,0,0,0,0,10,16,16,10,0,0,0,0,14,16,16,12,0,0,0,0,8,13,16,8,0,0,1\n0,0,3,4,4,2,0,0,0,1,14,16,15,2,0,0,0,4,16,16,14,0,0,0,0,4,16,16,15,0,0,0,0,2,15,16,15,1,0,0,0,0,11,16,16,5,0,0,0,0,5,16,16,12,0,0,0,0,6,12,8,5,0,0,1\n0,3,14,14,2,0,0,0,0,11,16,16,13,0,0,0,0,3,2,4,14,6,0,0,0,0,0,0,13,8,0,0,0,0,0,7,15,2,0,0,0,0,6,15,7,0,0,0,0,4,16,16,10,8,5,0,0,2,11,15,16,15,12,0,2\n0,0,6,16,11,1,0,0,0,0,16,13,16,11,0,0,0,5,10,0,3,13,2,0,0,7,8,0,0,4,7,0,0,8,8,0,0,6,8,0,0,4,11,2,4,15,5,0,0,0,14,16,16,15,1,0,0,0,5,12,10,2,0,0,0\n0,0,8,16,8,0,0,0,0,2,15,16,16,6,0,0,0,4,13,1,6,15,1,0,0,7,13,0,0,13,5,0,0,8,12,0,0,8,8,0,0,7,14,1,4,12,8,0,0,2,15,16,16,16,4,0,0,0,7,16,16,10,0,0,0\n0,0,4,10,14,14,8,0,0,7,16,15,11,8,4,0,0,2,15,9,3,0,0,0,0,0,12,16,16,7,0,0,0,0,0,4,9,16,4,0,0,0,0,0,0,13,8,0,0,0,7,12,11,16,5,0,0,0,4,16,10,5,0,0,5\n0,0,7,14,16,16,7,0,0,0,12,14,9,8,2,0,0,0,14,4,0,0,0,0,0,3,16,16,9,0,0,0,0,8,16,14,16,3,0,0,0,2,2,0,12,8,0,0,0,0,6,15,15,2,0,0,0,0,11,11,3,0,0,0,5\n0,0,3,10,11,5,0,0,0,8,16,10,8,5,0,0,0,11,11,0,0,0,0,0,0,8,14,11,8,4,0,0,0,0,3,7,9,14,9,0,0,0,0,0,0,5,13,0,0,0,1,4,10,16,5,0,0,0,2,13,10,2,0,0,5\n0,2,13,13,1,0,0,0,0,3,14,13,13,0,0,0,0,0,2,0,16,0,0,0,0,0,0,0,16,0,0,0,0,0,0,9,8,0,0,0,0,0,4,15,3,0,0,0,0,2,16,16,9,7,6,0,0,0,11,12,15,16,12,0,2\n0,0,8,14,15,11,0,0,0,1,16,14,8,8,0,0,0,2,16,10,2,0,0,0,0,1,12,16,14,2,0,0,0,0,0,0,11,10,0,0,0,0,0,0,7,13,0,0,0,0,14,14,16,3,0,0,0,0,12,10,5,0,0,0,5\n0,0,2,11,16,13,1,0,0,1,16,11,4,12,8,0,0,0,14,8,3,11,8,0,0,0,13,16,16,14,1,0,0,0,10,16,10,15,3,0,0,0,14,7,0,10,5,0,0,0,11,12,8,14,4,0,0,0,3,14,12,10,1,0,8\n0,0,1,10,11,0,0,0,0,0,7,15,3,0,9,1,0,2,16,7,0,6,15,2,0,8,16,7,4,13,11,0,0,8,16,16,16,16,2,0,0,1,4,7,16,12,0,0,0,0,0,4,16,4,0,0,0,0,0,14,9,0,0,0,4\n0,1,10,16,16,15,0,0,0,2,15,10,12,15,0,0,0,0,0,1,15,8,0,0,0,0,8,16,16,16,13,0,0,0,6,16,10,4,2,0,0,0,4,16,4,0,0,0,0,0,9,16,1,0,0,0,0,0,13,13,0,0,0,0,7\n0,0,10,15,10,1,0,0,0,5,16,4,11,13,1,0,0,5,16,9,12,16,7,0,0,1,10,12,8,14,8,0,0,0,0,0,0,14,5,0,0,0,0,0,10,13,1,0,0,0,5,12,15,2,0,0,0,0,13,10,2,0,0,0,9\n0,0,1,12,12,11,0,0,0,0,12,16,16,7,0,0,0,0,12,16,16,4,0,0,0,0,12,16,16,0,0,0,0,0,12,16,16,4,0,0,0,0,7,16,16,7,0,0,0,0,4,16,16,15,1,0,0,0,3,10,10,4,0,0,1\n0,0,3,8,10,12,6,0,0,0,13,15,11,8,2,0,0,0,12,11,2,0,0,0,0,0,13,16,16,9,1,0,0,0,0,4,6,13,6,0,0,0,0,0,0,13,4,0,0,0,5,5,13,11,0,0,0,0,13,14,7,0,0,0,5\n0,1,9,15,5,0,0,0,0,4,16,15,13,0,0,0,0,1,2,1,15,2,0,0,0,0,0,0,16,0,0,0,0,0,0,5,13,0,0,0,0,0,4,15,3,0,1,0,0,0,12,16,12,14,4,0,0,0,11,16,13,9,2,0,2\n0,3,8,12,13,3,0,0,0,5,11,8,12,10,0,0,0,0,0,0,13,7,0,0,0,0,5,14,16,13,0,0,0,0,7,13,7,14,8,0,0,0,0,0,2,16,7,0,0,1,6,11,16,7,0,0,0,3,13,11,3,0,0,0,3\n0,2,12,15,6,0,0,0,0,6,13,12,16,5,0,0,0,0,3,9,16,5,0,0,0,0,7,16,16,12,0,0,0,0,0,4,8,16,5,0,0,0,0,0,0,13,8,0,0,2,13,8,14,15,3,0,0,2,15,15,10,1,0,0,3\n0,0,0,7,12,5,0,0,0,0,5,16,16,12,0,0,0,0,12,16,16,15,0,0,0,0,8,16,16,15,0,0,0,0,10,16,16,10,0,0,0,0,6,16,16,10,0,0,0,0,0,13,16,6,0,0,0,0,0,8,6,0,0,0,1\n0,0,8,13,13,16,8,0,0,1,15,15,12,16,4,0,0,0,0,0,10,14,0,0,0,0,1,5,16,10,3,0,0,0,8,16,16,13,6,0,0,0,1,13,9,0,0,0,0,0,4,16,7,0,0,0,0,0,9,13,1,0,0,0,7\n0,0,9,16,7,2,0,0,0,1,16,10,15,11,0,0,0,4,16,4,1,15,3,0,0,6,16,2,0,10,6,0,0,4,14,0,0,9,8,0,0,4,14,0,0,14,6,0,0,2,16,12,15,12,0,0,0,0,6,15,13,1,0,0,0\n0,0,2,7,13,12,2,0,0,0,10,13,6,12,6,0,0,2,16,4,1,13,8,0,0,0,14,14,15,15,10,0,0,0,0,3,1,12,5,0,0,0,0,0,5,11,0,0,0,0,0,2,14,2,0,0,0,0,0,9,8,0,0,0,9\n0,0,4,15,16,5,0,0,0,4,16,10,10,15,0,0,0,10,16,7,4,15,0,0,0,1,4,3,13,9,0,0,0,0,0,9,16,16,4,0,0,0,0,1,0,11,11,0,0,0,2,12,4,13,9,0,0,0,4,16,16,12,1,0,3\n0,0,9,12,14,14,12,1,0,0,15,15,12,14,16,6,0,0,3,0,0,10,15,3,0,0,0,0,4,16,6,0,0,0,0,3,15,9,0,0,0,0,2,13,12,0,0,0,0,0,10,14,1,0,0,0,0,0,13,9,0,0,0,0,7\n0,0,5,15,14,2,0,0,0,2,15,14,13,15,0,0,0,7,16,2,1,16,5,0,0,8,14,0,0,12,10,0,0,8,13,0,0,8,12,0,0,8,15,0,0,14,10,0,0,2,16,11,10,16,2,0,0,0,8,16,16,6,0,0,0\n0,0,0,13,7,0,0,0,0,0,5,13,3,13,2,0,0,0,14,6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6,10,6,0,0,0,5,16,5,0,0,0,0,0,0,12,16,2,0,0,0,0,0,0,12,12,0,0,0,0,0,0,13,9,0,0,0,0,1,12,13,2,0,0,0,0,7,13,2,0,0,0,5\n0,0,0,12,13,0,0,0,0,0,4,16,16,9,0,0,0,0,2,16,6,14,0,0,0,4,3,13,7,9,5,0,0,8,12,3,16,12,8,0,0,0,14,5,1,12,8,0,0,0,10,14,13,16,2,0,0,0,0,13,16,6,0,0,0\n0,0,0,5,14,13,3,0,0,0,11,16,16,16,9,0,0,2,16,16,16,16,11,0,0,0,6,8,8,13,8,0,0,0,0,0,1,14,3,0,0,0,0,0,9,9,0,0,0,0,0,1,13,2,0,0,0,0,0,5,6,0,0,0,9\n0,0,6,16,16,16,9,0,0,0,5,8,4,14,13,0,0,0,0,0,0,15,9,0,0,0,0,4,11,16,2,0,0,0,0,14,16,16,10,0,0,0,0,16,12,8,2,0,0,0,8,16,3,0,0,0,0,0,9,14,1,0,0,0,7\n0,0,6,16,15,3,0,0,0,4,16,13,16,6,0,0,0,3,6,0,16,5,0,0,0,0,0,6,16,1,0,0,0,0,0,14,11,0,0,0,0,0,8,14,1,0,0,0,0,0,12,14,8,6,2,0,0,0,8,16,16,16,3,0,2\n0,0,12,13,3,0,0,0,0,4,16,14,10,0,0,0,0,2,4,6,10,0,0,0,0,0,0,9,11,0,0,0,0,0,2,15,1,0,0,0,0,0,10,11,0,0,0,0,0,4,16,10,6,4,3,0,0,1,10,15,16,16,9,0,2\n0,1,9,16,16,7,0,0,0,7,15,12,15,12,0,0,0,0,2,0,9,14,0,0,0,0,0,0,15,8,0,0,0,0,5,13,16,14,6,0,0,5,16,16,14,8,2,0,0,0,11,16,6,0,0,0,0,0,11,13,2,0,0,0,7\n0,0,0,2,15,2,0,0,0,0,0,10,8,0,8,3,0,0,6,12,0,3,15,0,0,2,14,1,0,12,8,0,0,9,15,12,16,16,5,0,0,3,8,5,11,10,0,0,0,0,0,1,15,4,0,0,0,0,0,3,9,0,0,0,4\n0,0,1,13,3,0,0,0,0,0,4,15,1,0,0,0,0,0,9,10,0,0,0,0,0,0,10,11,0,0,0,0,0,0,11,12,6,5,0,0,0,0,14,16,16,16,8,0,0,0,16,16,11,12,13,0,0,0,3,8,14,10,6,0,6\n0,0,4,11,12,16,10,0,0,3,16,16,14,7,0,0,0,0,16,8,0,0,0,0,0,0,12,10,0,0,0,0,0,0,2,14,10,1,0,0,0,0,0,1,14,11,0,0,0,0,0,1,13,14,2,0,0,0,7,14,10,2,0,0,5\n0,0,3,10,14,14,3,0,0,0,15,6,9,16,4,0,0,0,1,5,14,6,0,0,0,0,7,16,9,1,0,0,0,0,2,9,13,15,1,0,0,0,0,0,4,16,2,0,0,0,0,7,15,6,0,0,0,0,0,14,7,0,0,0,3\n0,0,0,5,8,12,10,0,0,0,11,14,4,15,8,0,0,4,16,14,11,16,7,0,0,7,16,16,16,14,7,0,0,1,8,6,0,7,8,0,0,0,0,0,0,5,8,0,0,0,0,0,3,13,6,0,0,0,0,4,16,8,0,0,9\n0,1,13,5,0,0,0,0,0,4,14,0,0,0,0,0,0,4,8,0,1,6,1,0,0,5,8,1,11,16,5,0,0,4,10,7,16,16,7,0,0,4,14,10,16,16,3,0,0,1,16,16,16,10,0,0,0,0,10,14,9,2,0,0,6\n0,0,2,13,15,1,0,0,0,2,13,15,5,9,0,0,0,7,15,2,0,8,0,0,0,8,15,0,0,5,4,0,0,7,16,0,0,9,6,0,0,0,14,7,0,13,7,0,0,0,10,15,14,14,0,0,0,0,0,14,14,5,0,0,0\n0,0,10,15,16,6,0,0,0,7,16,14,16,11,0,0,0,6,5,11,16,3,0,0,0,0,0,12,16,6,0,0,0,0,0,1,13,16,5,0,0,0,0,0,2,16,9,0,0,0,3,8,13,16,7,0,0,0,12,16,15,4,0,0,3\n0,0,6,14,14,3,0,0,0,9,16,3,8,13,0,0,0,8,15,13,16,16,2,0,0,1,12,12,9,14,5,0,0,0,0,0,0,10,6,0,0,0,0,0,0,10,5,0,0,0,0,1,6,13,2,0,0,0,7,12,7,2,0,0,9\n0,1,12,14,2,0,0,0,0,8,16,16,7,0,0,0,0,2,8,10,8,0,0,0,0,0,0,13,8,0,0,0,0,0,3,16,2,0,0,0,0,0,14,8,0,0,0,0,0,0,16,10,9,10,6,0,0,2,15,13,12,8,1,0,2\n0,0,5,15,10,2,0,0,0,0,5,16,16,11,0,0,0,0,1,16,16,16,1,0,0,0,3,14,16,11,0,0,0,0,6,16,16,10,0,0,0,0,6,16,16,2,0,0,0,0,5,16,16,9,0,0,0,0,4,16,14,10,0,0,1\n0,0,15,15,2,0,0,0,0,4,16,11,13,1,0,0,0,3,15,5,15,6,0,0,0,0,3,1,8,12,0,0,0,0,0,0,6,15,0,0,0,0,0,0,9,12,0,0,0,0,5,9,16,10,1,0,0,0,13,16,16,16,16,6,2\n0,0,0,9,13,0,0,0,0,0,5,16,6,0,0,0,0,1,13,11,1,0,2,0,0,8,16,1,0,10,13,0,0,11,16,4,10,16,5,0,0,12,16,16,16,10,0,0,0,0,4,5,16,3,0,0,0,0,0,10,16,0,0,0,4\n0,0,5,15,8,0,0,0,0,0,13,8,12,5,0,0,0,1,16,1,6,15,2,0,0,1,16,1,2,16,6,0,0,3,14,0,0,11,9,0,0,3,16,1,0,7,10,0,0,0,15,4,2,15,6,0,0,0,5,14,15,10,1,0,0\n0,0,12,7,0,0,0,0,0,3,16,4,0,0,0,0,0,7,15,0,0,0,0,0,0,8,12,3,8,2,0,0,0,12,14,16,16,16,4,0,0,9,16,13,3,9,13,0,0,3,16,9,5,13,12,0,0,0,10,16,16,13,1,0,6\n0,0,4,10,16,16,11,1,0,0,12,13,11,8,7,0,0,3,16,16,16,4,0,0,0,5,16,9,15,6,0,0,0,0,0,0,6,11,0,0,0,0,0,0,11,8,0,0,0,0,1,8,13,2,0,0,0,0,4,13,4,0,0,0,5\n0,0,0,9,13,0,0,0,0,0,8,15,1,0,0,0,0,2,14,10,0,2,15,3,0,6,16,4,1,13,13,0,0,2,16,15,13,14,3,0,0,0,5,11,16,8,0,0,0,0,0,10,14,1,0,0,0,0,0,13,12,0,0,0,4\n0,0,8,16,16,12,0,0,0,4,16,16,16,15,2,0,0,2,11,16,16,11,0,0,0,0,0,15,16,7,0,0,0,0,0,0,11,16,2,0,0,0,7,0,0,15,5,0,0,2,16,7,7,15,7,0,0,0,8,14,12,5,0,0,3\n0,0,10,7,0,0,0,0,0,0,15,9,0,0,0,0,0,2,16,2,0,0,0,0,0,7,16,1,5,3,0,0,0,8,16,13,16,15,2,0,0,8,16,16,12,16,8,0,0,3,16,15,12,16,4,0,0,0,9,16,15,8,0,0,6\n0,2,13,16,16,11,0,0,0,7,13,4,11,14,0,0,0,0,1,9,16,7,0,0,0,0,7,16,14,1,0,0,0,0,0,9,15,13,1,0,0,0,0,0,3,16,5,0,0,0,6,0,5,15,7,0,0,0,15,16,16,10,1,0,3\n0,0,5,16,5,0,0,0,0,0,11,15,2,0,0,0,0,1,16,10,0,0,0,0,0,6,16,3,0,0,0,0,0,8,16,15,16,14,2,0,0,8,16,12,8,13,11,0,0,8,16,12,2,13,9,0,0,0,5,13,16,15,1,0,6\n0,1,11,16,16,15,1,0,0,3,15,7,10,16,3,0,0,0,0,4,16,8,0,0,0,0,0,5,15,10,0,0,0,0,0,0,3,16,8,0,0,0,0,0,0,11,13,0,0,4,11,1,1,11,14,0,0,1,13,16,16,15,6,0,3\n0,0,7,16,14,2,0,0,0,0,13,13,9,13,0,0,0,0,11,10,0,14,5,0,0,0,5,14,0,12,9,0,0,0,0,0,0,12,8,0,0,0,0,0,4,16,5,0,0,0,2,8,14,15,0,0,0,0,8,16,16,16,16,4,2\n0,0,8,15,16,13,0,0,0,3,16,4,1,16,4,0,0,0,15,5,1,16,8,0,0,0,14,11,16,8,0,0,0,0,6,16,8,0,0,0,0,0,10,16,8,0,0,0,0,0,16,14,16,2,0,0,0,0,8,16,15,2,0,0,8\n0,1,12,16,15,2,0,0,0,6,16,8,14,10,0,0,0,1,8,3,15,7,0,0,0,0,1,16,16,5,0,0,0,0,0,3,13,16,4,0,0,0,6,0,2,14,8,0,0,1,16,7,7,15,7,0,0,0,12,16,16,10,1,0,3\n0,2,16,15,4,0,0,0,0,4,16,14,9,3,5,0,0,4,15,7,16,16,8,0,0,1,15,16,15,6,0,0,0,0,10,16,4,0,0,0,0,1,14,16,2,0,0,0,0,7,10,16,0,0,0,0,0,2,14,11,0,0,0,0,8\n0,1,14,16,9,0,0,0,0,1,11,15,15,2,0,0,0,0,1,13,16,2,0,0,0,0,10,16,16,15,9,0,0,0,9,16,13,10,3,0,0,0,5,16,1,0,0,0,0,0,15,13,0,0,0,0,0,1,16,4,0,0,0,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0,13,16,12,10,7,0,0,2,15,16,16,16,16,5,2\n0,0,4,10,0,0,0,0,0,0,2,15,2,0,0,0,0,0,2,16,4,0,0,0,0,0,7,16,9,0,0,0,0,0,14,14,14,0,0,0,0,0,3,3,16,3,0,0,0,0,1,7,14,11,4,0,0,0,4,14,16,13,14,8,1\n0,0,9,14,2,0,0,0,0,0,5,16,7,0,0,0,0,0,6,16,10,0,0,0,0,2,15,16,10,0,0,0,0,6,16,15,14,0,0,0,0,0,0,10,16,2,0,0,0,0,9,15,16,14,12,3,0,0,6,15,16,16,12,3,1\n0,0,4,14,4,0,0,0,0,0,13,12,2,0,0,0,0,0,16,2,0,0,0,0,0,1,16,16,16,9,0,0,0,2,16,5,0,8,9,0,0,0,14,4,0,1,14,0,0,0,10,9,4,12,13,0,0,0,4,15,15,9,2,0,6\n0,0,7,16,6,0,0,0,0,0,16,13,1,0,0,0,0,2,16,3,0,0,0,0,0,3,16,4,4,2,0,0,0,5,16,16,16,15,4,0,0,4,16,6,4,7,16,1,0,0,16,8,4,12,15,2,0,0,6,16,16,14,6,0,6\n0,1,8,14,16,12,0,0,0,1,12,9,11,16,0,0,0,0,0,9,15,5,0,0,0,2,14,16,7,0,0,0,0,1,11,13,16,9,0,0,0,0,0,0,2,16,4,0,0,0,11,8,14,13,0,0,0,0,11,14,11,1,0,0,3\n0,0,0,6,15,2,11,2,0,0,2,16,10,5,16,3,0,1,15,10,0,9,13,0,0,9,16,9,9,16,12,0,0,7,16,16,15,15,7,0,0,0,3,2,14,8,0,0,0,0,0,6,14,1,0,0,0,0,0,11,9,0,0,0,4\n0,2,13,16,14,3,0,0,0,2,8,11,16,8,0,0,0,0,3,16,12,1,0,0,0,0,1,11,14,2,0,0,0,0,0,0,7,13,0,0,0,0,0,0,0,11,7,0,0,7,11,4,4,13,7,0,0,2,11,16,12,10,0,0,3\n0,0,0,1,14,1,14,0,0,0,0,12,11,6,13,0,0,0,8,13,2,10,9,0,0,6,14,2,1,14,11,0,0,11,15,12,16,16,9,0,0,7,14,12,14,12,0,0,0,0,0,0,12,8,0,0,0,0,0,0,14,3,0,0,4\n0,0,2,12,16,16,11,0,0,0,12,15,9,6,8,0,0,3,16,5,3,2,0,0,0,10,16,15,16,13,0,0,0,8,16,13,10,16,0,0,0,0,3,0,11,13,0,0,0,0,0,9,16,5,0,0,0,0,1,16,11,0,0,0,5\n0,0,4,10,14,5,0,0,0,0,13,10,0,14,4,0,0,6,15,0,9,15,2,0,0,6,16,16,16,13,0,0,0,0,12,15,7,12,4,0,0,0,10,9,0,10,7,0,0,0,11,9,7,15,3,0,0,0,5,15,12,3,0,0,8\n0,1,13,16,12,1,0,0,0,6,16,11,14,7,0,0,0,5,16,0,10,10,0,0,0,0,2,0,13,10,0,0,0,0,0,2,16,7,0,0,0,0,0,11,15,1,0,0,0,0,11,16,16,12,12,2,0,0,15,16,12,12,12,3,2\n0,1,9,14,14,3,0,0,0,2,12,10,12,11,0,0,0,0,0,3,14,11,0,0,0,0,11,16,16,7,0,0,0,0,10,7,11,16,5,0,0,0,0,0,0,5,12,0,0,0,8,5,6,12,12,0,0,0,12,16,15,10,3,0,3\n0,0,3,9,8,0,0,0,0,0,15,9,1,0,0,0,0,4,16,8,2,0,0,0,0,5,16,12,12,11,1,0,0,4,12,0,0,5,10,0,0,1,14,3,0,1,14,1,0,0,10,6,5,14,13,0,0,0,4,13,14,8,0,0,6\n0,1,6,8,13,8,0,0,0,5,16,10,5,15,0,0,0,8,15,6,13,13,0,0,0,5,16,16,14,15,1,0,0,0,14,9,0,6,6,0,0,0,16,1,0,6,8,0,0,0,16,5,9,15,2,0,0,0,11,16,10,2,0,0,8\n0,0,3,16,3,0,0,0,0,0,8,14,2,0,0,0,0,0,14,7,0,0,0,0,0,1,16,4,3,0,0,0,0,4,16,16,16,15,2,0,0,3,16,9,1,10,13,0,0,0,15,10,4,9,13,0,0,0,3,12,14,14,7,0,6\n0,0,2,9,15,16,7,0,0,0,15,9,8,15,9,0,0,2,15,3,4,16,2,0,0,4,15,15,16,2,0,0,0,0,1,16,16,9,0,0,0,0,10,10,10,16,3,0,0,0,10,12,10,16,4,0,0,0,2,13,12,8,1,0,8\n0,0,10,13,2,0,0,0,0,6,16,14,9,0,0,0,0,3,12,2,13,0,0,0,0,0,0,4,14,0,0,0,0,0,0,8,14,0,0,0,0,0,1,15,6,0,0,0,0,0,10,16,9,8,10,2,0,0,6,12,13,12,11,2,2\n0,0,3,10,14,7,0,0,0,4,16,12,14,12,0,0,0,0,7,0,11,9,0,0,0,0,0,11,16,3,0,0,0,0,0,12,16,16,5,0,0,0,0,0,0,14,8,0,0,0,1,8,11,15,3,0,0,0,5,13,10,2,0,0,3\n0,0,3,12,15,2,0,0,0,5,16,12,9,13,0,0,0,7,15,2,0,12,4,0,0,6,12,0,0,7,6,0,0,6,13,0,0,7,7,0,0,0,16,0,0,10,7,0,0,0,10,10,8,16,1,0,0,0,2,10,16,6,0,0,0\n0,0,5,13,16,7,0,0,0,2,16,7,8,11,0,0,0,8,15,5,10,8,0,0,0,2,6,15,16,7,0,0,0,0,1,13,10,16,4,0,0,0,4,13,1,9,12,0,0,0,7,10,5,15,7,0,0,0,2,13,15,8,1,0,8\n0,0,6,14,12,6,0,0,0,3,16,11,10,15,5,0,0,6,16,4,3,16,4,0,0,0,9,16,16,12,0,0,0,0,2,15,7,15,6,0,0,0,8,6,0,14,8,0,0,0,13,10,13,13,1,0,0,0,5,12,9,1,0,0,8\n0,0,1,11,14,3,0,0,0,0,6,16,12,2,0,0,0,0,13,11,0,0,0,0,0,1,14,9,3,0,0,0,0,6,16,16,15,7,0,0,0,4,16,11,7,15,6,0,0,0,12,14,6,11,10,0,0,0,3,11,16,15,6,0,6\n0,0,0,5,16,12,0,0,0,0,1,15,16,16,0,0,0,2,10,16,16,11,0,0,0,7,16,16,16,7,0,0,0,6,12,16,16,8,0,0,0,0,0,12,16,12,0,0,0,0,0,11,16,13,0,0,0,0,0,2,15,12,0,0,1\n0,0,0,7,13,5,0,0,0,0,6,15,11,5,0,0,0,0,15,8,0,0,0,0,0,4,16,3,7,7,1,0,0,3,16,16,15,15,6,0,0,1,15,8,0,8,11,0,0,0,11,13,7,14,10,0,0,0,0,9,16,12,3,0,6\n0,0,0,0,13,12,0,0,0,0,0,4,16,6,0,0,0,0,1,13,10,1,8,0,0,0,7,15,2,9,15,0,0,6,16,4,4,14,9,0,2,15,16,16,16,16,6,0,2,8,8,4,13,13,0,0,0,0,0,0,15,8,0,0,4\n0,0,2,13,7,0,0,0,0,0,12,14,4,0,0,0,0,0,15,3,0,0,0,0,0,6,14,2,6,0,0,0,0,7,16,16,16,13,1,0,0,4,16,8,1,12,10,0,0,1,12,9,4,9,15,0,0,0,2,11,16,15,4,0,6\n0,2,11,10,12,13,7,0,0,7,16,13,11,12,5,0,0,4,16,4,4,1,0,0,0,4,16,16,16,16,5,0,0,0,2,2,1,13,8,0,0,0,0,0,0,14,6,0,0,0,9,5,13,14,0,0,0,0,15,12,9,2,0,0,5\n0,1,10,16,16,16,4,0,0,1,14,9,8,16,4,0,0,0,0,0,6,15,0,0,0,2,11,12,15,15,9,0,0,0,13,16,16,13,6,0,0,0,0,16,8,0,0,0,0,0,9,15,1,0,0,0,0,0,13,9,0,0,0,0,7\n0,0,6,8,12,15,4,0,0,1,15,13,12,12,4,0,0,0,16,5,0,0,0,0,0,3,16,16,16,14,1,0,0,2,11,5,5,15,8,0,0,0,0,0,0,16,4,0,0,0,5,8,13,11,0,0,0,0,8,15,10,1,0,0,5\n0,0,8,14,11,3,0,0,0,4,16,9,13,10,0,0,0,2,5,0,8,11,0,0,0,0,0,0,12,8,0,0,0,0,0,5,15,0,0,0,0,0,8,16,6,0,0,0,0,4,16,15,8,4,1,0,0,0,9,12,14,16,5,0,2\n0,0,2,13,15,7,0,0,0,3,15,9,10,15,3,0,0,8,12,0,1,15,6,0,0,6,15,9,12,16,7,0,0,1,8,8,10,16,0,0,0,0,0,0,12,12,0,0,0,0,0,8,16,5,0,0,0,0,0,14,13,0,0,0,9\n0,0,2,12,16,13,2,0,0,1,14,12,6,15,7,0,0,7,16,2,7,15,6,0,0,2,16,16,16,16,3,0,0,0,3,6,10,13,0,0,0,0,0,1,14,5,0,0,0,0,0,8,14,1,0,0,0,0,0,15,9,0,0,0,9\n0,2,10,13,10,1,0,0,0,11,12,10,15,9,0,0,0,0,0,0,12,9,0,0,0,0,3,11,16,6,0,0,0,0,12,16,16,16,4,0,0,0,0,0,0,13,9,0,0,0,1,7,9,16,5,0,0,0,13,15,11,3,0,0,3\n0,1,10,12,14,16,5,0,0,0,14,10,8,8,1,0,0,0,16,4,3,1,0,0,0,2,16,16,16,15,3,0,0,0,2,0,0,11,8,0,0,0,0,0,3,14,3,0,0,0,3,11,15,9,0,0,0,1,12,7,3,0,0,0,5\n0,0,4,12,10,1,0,0,0,0,13,12,11,10,0,0,0,2,16,3,0,12,3,0,0,4,13,0,0,10,6,0,0,6,11,0,0,10,7,0,0,4,12,0,1,14,4,0,0,0,11,9,12,13,0,0,0,0,4,12,11,3,0,0,0\n0,2,13,12,13,16,4,0,0,4,15,9,8,8,0,0,0,4,12,0,0,0,0,0,0,6,15,12,5,0,0,0,0,2,11,10,16,2,0,0,0,0,0,0,12,6,0,0,0,0,2,9,15,3,0,0,0,1,13,10,2,0,0,0,5\n0,0,0,13,7,0,0,0,0,0,8,15,5,0,0,0,0,1,16,7,0,0,0,0,0,2,16,4,7,6,0,0,0,4,16,16,16,16,8,0,0,3,16,9,0,9,11,0,0,0,11,12,5,12,12,0,0,0,1,10,13,13,5,0,6\n0,0,8,12,16,16,2,0,0,1,16,14,13,16,1,0,0,0,3,0,8,14,0,0,0,0,5,16,16,16,4,0,0,0,7,16,15,14,8,0,0,0,1,14,9,0,0,0,0,0,5,16,2,0,0,0,0,0,11,11,0,0,0,0,7\n0,0,4,11,14,6,0,0,0,4,14,7,6,15,0,0,0,4,5,0,5,11,0,0,0,0,0,7,15,11,0,0,0,0,0,11,10,15,4,0,0,0,0,0,0,10,8,0,0,0,1,4,7,15,1,0,0,0,3,16,11,2,0,0,3\n0,0,3,13,13,2,0,0,0,4,16,15,14,10,0,0,0,3,16,2,0,16,4,0,0,6,13,0,0,13,6,0,0,4,13,0,0,11,9,0,0,0,16,0,0,11,7,0,0,0,9,12,9,15,2,0,0,0,2,11,15,7,0,0,0\n0,2,9,13,16,12,2,0,0,5,16,10,7,16,5,0,0,0,0,0,11,15,1,0,0,0,0,9,16,11,1,0,0,0,0,1,10,15,8,0,0,0,0,0,3,15,8,0,0,0,2,9,16,11,1,0,0,1,12,11,3,0,0,0,3\n0,0,5,8,13,13,10,1,0,0,7,8,5,12,14,1,0,0,0,0,0,14,8,0,0,0,11,16,16,16,9,0,0,0,2,6,16,11,5,0,0,0,0,10,8,0,0,0,0,0,3,16,1,0,0,0,0,0,8,10,0,0,0,0,7\n0,0,8,13,11,2,0,0,0,7,15,9,13,11,0,0,0,12,15,0,0,15,4,0,0,4,16,0,0,13,6,0,0,5,13,0,0,11,7,0,0,4,16,0,0,14,7,0,0,1,15,8,10,16,4,0,0,0,6,15,16,10,0,0,0\n0,0,0,4,16,9,2,0,0,0,1,14,16,16,7,0,0,5,14,16,16,16,6,0,0,5,12,13,16,16,5,0,0,0,0,4,16,16,1,0,0,0,0,7,16,16,1,0,0,0,0,8,16,16,3,0,0,0,0,5,14,16,6,0,1\n0,0,2,13,13,0,0,0,0,0,10,14,3,0,0,0,0,1,15,6,0,0,0,0,0,4,16,3,4,2,0,0,0,5,16,16,13,16,3,0,0,2,16,6,0,6,12,0,0,0,11,8,0,8,12,0,0,0,1,13,16,14,3,0,6\n0,0,0,0,10,14,2,0,0,0,0,2,16,16,3,0,0,0,1,15,16,16,2,0,0,3,16,16,16,16,1,0,0,2,8,5,16,16,0,0,0,0,0,0,15,16,1,0,0,0,0,0,12,16,6,0,0,0,0,0,10,15,6,0,1\n0,1,11,16,15,1,0,0,0,5,16,16,16,5,0,0,0,0,3,8,16,2,0,0,0,0,0,15,11,0,0,0,0,0,7,16,6,0,0,0,0,0,14,12,0,0,0,0,0,1,16,15,9,8,2,0,0,1,12,16,16,16,3,0,2\n0,0,3,10,8,1,0,0,0,0,11,16,16,9,0,0,0,3,16,16,16,3,0,0,0,4,16,16,16,3,0,0,0,4,16,16,12,0,0,0,0,1,16,16,15,0,0,0,0,0,9,16,16,0,0,0,0,0,2,10,12,1,0,0,1\n0,1,8,12,12,6,0,0,0,9,16,11,8,10,1,0,0,6,14,0,0,0,0,0,0,1,12,15,8,0,0,0,0,0,0,7,15,5,0,0,0,0,0,0,4,14,0,0,0,0,0,0,11,11,0,0,0,0,12,16,12,4,0,0,5\n0,0,4,14,16,14,1,0,0,1,16,13,14,16,5,0,0,1,5,0,3,16,3,0,0,0,0,0,7,15,0,0,0,2,13,16,16,14,4,0,0,3,10,14,14,8,1,0,0,0,2,14,8,0,0,0,0,0,6,14,1,0,0,0,7\n0,0,10,15,3,0,0,0,0,0,16,7,8,0,0,0,0,0,11,5,4,10,3,0,0,0,3,13,15,10,1,0,0,0,2,15,14,1,0,0,0,0,13,9,10,6,0,0,0,1,14,4,8,8,0,0,0,0,8,14,13,4,0,0,8\n0,0,2,12,12,2,0,0,0,0,8,16,16,5,0,0,0,0,10,16,16,8,0,0,0,0,12,16,16,4,0,0,0,0,11,16,16,6,0,0,0,0,7,16,16,8,0,0,0,0,3,16,16,13,0,0,0,0,2,8,12,7,0,0,1\n0,0,7,13,6,0,0,0,0,3,16,8,13,0,0,0,0,2,14,8,0,0,0,0,0,0,6,16,16,14,6,0,0,1,14,14,13,0,1,0,0,4,16,2,13,6,0,0,0,1,15,4,4,13,0,0,0,0,5,14,16,10,0,0,8\n0,0,0,0,6,9,0,0,0,0,0,7,15,4,0,0,0,0,3,14,7,0,0,0,0,0,9,9,0,13,3,0,0,2,16,2,2,16,0,0,0,8,16,14,16,16,6,0,0,2,4,4,12,8,0,0,0,0,0,0,9,11,0,0,4\n0,0,0,1,15,5,0,0,0,0,0,11,12,0,0,0,0,0,8,15,1,0,0,0,0,3,15,6,2,13,3,0,0,11,12,0,5,16,4,0,0,15,14,14,16,15,5,0,0,3,8,9,16,6,0,0,0,0,0,1,16,5,0,0,4\n0,0,7,14,5,0,0,0,0,3,16,15,12,0,0,0,0,0,12,0,12,0,0,0,0,0,1,0,12,2,0,0,0,0,0,1,16,2,0,0,0,0,1,10,15,3,0,0,0,0,13,16,16,15,7,0,0,0,9,6,3,4,13,1,2\n0,0,15,16,16,15,3,0,0,0,7,8,10,16,6,0,0,0,0,0,4,16,4,0,0,0,0,0,11,12,1,0,0,3,13,16,16,14,8,0,0,3,13,16,13,9,3,0,0,0,6,15,2,0,0,0,0,0,15,12,0,0,0,0,7\n0,1,9,13,15,3,0,0,0,8,14,8,12,16,0,0,0,1,1,0,10,14,0,0,0,0,0,6,15,7,0,0,0,0,10,16,16,10,2,0,0,0,5,8,8,14,8,0,0,1,6,4,7,15,6,0,0,1,11,15,12,4,0,0,3\n0,0,8,16,6,0,0,0,0,2,14,8,12,2,0,0,0,7,14,9,15,9,0,0,0,1,12,13,7,14,0,0,0,0,0,0,0,11,4,0,0,0,0,0,0,8,8,0,0,0,2,4,5,13,7,0,0,0,6,15,15,10,0,0,9\n0,0,9,11,12,12,1,0,0,0,11,12,13,16,4,0,0,0,0,0,12,10,0,0,0,0,2,11,14,2,0,0,0,0,9,16,5,0,0,0,0,0,6,15,16,14,2,0,0,0,3,6,14,16,1,0,0,0,11,16,13,5,0,0,3\n0,0,9,16,16,16,13,1,0,0,14,8,8,11,16,5,0,0,0,0,0,7,16,2,0,0,3,4,5,15,10,0,0,0,16,16,16,16,8,0,0,0,3,11,15,8,1,0,0,0,3,16,8,0,0,0,0,0,12,14,0,0,0,0,7\n0,0,8,16,16,7,0,0,0,2,15,3,10,16,0,0,0,2,15,12,14,11,0,0,0,0,8,9,8,12,0,0,0,0,0,0,1,15,0,0,0,0,0,0,0,14,2,0,0,0,1,1,5,16,4,0,0,0,9,13,16,11,0,0,9\n0,0,9,15,16,10,0,0,0,3,16,13,14,16,1,0,0,0,0,0,12,16,0,0,0,0,4,6,14,14,2,0,0,1,16,16,16,16,11,0,0,0,4,15,12,4,1,0,0,0,6,16,3,0,0,0,0,0,10,11,0,0,0,0,7\n0,0,4,12,1,0,0,0,0,0,11,16,16,7,0,0,0,0,15,15,10,16,4,0,0,3,16,2,0,10,6,0,0,3,16,1,0,7,9,0,0,2,16,2,2,12,12,0,0,0,13,11,14,16,7,0,0,0,3,12,13,5,0,0,0\n0,0,0,6,11,0,0,0,0,0,1,16,14,1,0,0,0,0,5,16,2,0,0,0,0,0,8,14,0,0,0,0,0,0,8,12,2,0,0,0,0,0,11,16,16,16,11,2,0,0,2,16,4,3,12,10,0,0,0,4,14,16,13,8,6\n0,2,14,16,13,7,0,0,0,3,12,8,13,16,0,0,0,0,0,5,14,11,0,0,0,2,12,16,10,1,0,0,0,3,16,15,9,1,0,0,0,0,3,11,15,15,1,0,0,3,6,4,5,16,8,0,0,3,13,16,14,12,2,0,3\n0,0,2,12,3,0,0,0,0,0,11,14,0,0,0,0,0,0,15,6,0,0,0,0,0,0,15,2,4,0,0,0,0,2,16,16,16,12,2,0,0,2,15,7,1,8,9,0,0,0,12,9,1,9,12,0,0,0,1,15,16,13,4,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3,1,14,6,0,0,0,0,0,0,13,7,0,0,0,0,0,0,10,11,0,0,7\n0,1,10,13,5,0,0,0,0,10,14,12,14,0,0,0,0,5,4,2,15,0,0,0,0,0,0,7,10,0,0,0,0,0,2,15,4,0,0,0,0,0,6,15,0,0,0,0,0,1,16,13,12,13,12,0,0,0,15,12,12,10,4,0,2\n0,0,9,14,10,4,0,0,0,1,15,12,14,16,2,0,0,0,1,0,0,15,4,0,0,0,0,14,16,8,0,0,0,0,0,6,13,14,1,0,0,0,0,0,1,16,5,0,0,0,5,4,6,15,4,0,0,0,12,15,12,6,0,0,3\n0,0,7,12,8,10,15,2,0,0,4,8,10,16,8,0,0,0,0,0,9,10,0,0,0,0,0,5,14,2,0,0,0,6,16,16,16,13,1,0,0,3,6,16,0,0,0,0,0,0,7,13,0,0,0,0,0,0,10,10,0,0,0,0,7\n0,0,0,6,12,2,0,0,0,0,2,15,10,4,0,0,0,0,13,9,0,0,0,0,0,1,15,1,0,0,0,0,0,2,13,6,9,2,0,0,0,0,15,16,12,13,1,0,0,0,6,12,8,15,4,0,0,0,0,7,15,11,1,0,6\n0,0,6,12,14,6,0,0,0,12,14,6,4,15,0,0,0,11,1,0,5,12,0,0,0,6,11,5,15,3,0,0,0,0,7,15,12,2,0,0,0,0,5,13,8,13,1,0,0,0,11,5,6,14,7,0,0,0,5,16,12,7,1,0,8\n0,0,9,16,15,5,0,0,0,0,15,14,16,9,0,0,0,0,5,1,13,10,0,0,0,0,0,0,13,7,0,0,0,0,0,8,13,0,0,0,0,0,3,15,7,1,0,0,0,0,10,16,16,15,0,0,0,0,13,16,12,12,0,0,2\n0,0,1,12,15,12,1,0,0,0,2,12,10,16,4,0,0,6,10,6,14,9,0,0,0,5,13,16,16,7,0,0,0,0,5,15,10,15,0,0,0,0,5,12,0,11,7,0,0,0,4,14,4,13,7,0,0,0,2,12,15,10,1,0,8\n0,0,0,12,1,0,0,0,0,0,5,14,1,0,0,0,0,0,12,9,0,0,0,0,0,3,16,2,0,0,0,0,0,3,13,6,8,8,2,0,0,2,16,16,12,13,14,0,0,0,11,14,6,5,16,2,0,0,1,10,14,14,10,0,6\n0,0,5,14,16,10,0,0,0,0,15,15,14,13,0,0,0,0,4,3,15,8,0,0,0,0,1,16,16,15,2,0,0,0,1,7,6,16,6,0,0,0,0,1,0,14,6,0,0,0,2,15,12,14,1,0,0,0,7,16,12,1,0,0,3\n0,0,0,5,16,10,0,0,0,0,0,13,14,0,0,0,0,0,3,16,9,0,0,0,0,0,7,16,4,0,0,0,0,0,10,16,12,8,1,0,0,2,16,16,16,16,11,0,0,1,9,16,11,12,16,1,0,0,0,6,16,16,10,0,6\n0,0,2,12,16,3,0,0,0,3,16,6,8,8,0,0,0,5,14,11,15,2,0,0,0,0,0,10,11,0,0,0,0,0,1,16,14,2,0,0,0,0,8,12,6,9,0,0,0,0,10,6,6,16,1,0,0,0,3,14,13,8,0,0,8\n0,0,0,9,14,14,1,0,0,2,15,16,16,11,1,0,0,6,16,15,5,0,0,0,0,12,16,9,1,0,0,0,0,3,13,16,13,2,0,0,0,0,0,3,13,15,0,0,0,0,0,11,10,16,7,0,0,0,0,10,16,15,1,0,5\n0,1,6,14,12,0,0,0,0,10,15,12,16,2,0,0,0,7,4,4,16,0,0,0,0,0,0,9,10,0,0,0,0,0,3,16,1,0,0,0,0,0,9,10,0,0,0,0,0,0,14,12,8,11,14,0,0,0,5,16,15,9,8,1,2\n0,0,9,15,16,12,1,0,0,0,3,4,4,15,6,0,0,0,0,0,0,16,4,0,0,0,0,0,8,13,0,0,0,3,12,16,16,15,4,0,0,3,5,12,9,0,0,0,0,0,3,15,1,0,0,0,0,0,11,6,0,0,0,0,7\n0,0,5,11,0,0,0,0,0,1,14,5,0,0,0,0,0,4,12,0,0,0,0,0,0,4,12,3,4,0,0,0,0,8,16,16,16,14,1,0,0,5,16,4,3,9,8,0,0,0,14,7,5,11,12,0,0,0,5,15,16,11,4,0,6\n0,0,3,13,11,1,0,0,0,10,15,10,11,10,0,0,0,6,16,1,1,13,2,0,0,4,8,0,0,8,8,0,0,4,8,0,0,8,8,0,0,3,12,0,0,14,8,0,0,0,13,10,12,16,3,0,0,0,4,15,10,3,0,0,0\n0,0,5,11,15,16,5,0,0,6,16,10,5,16,8,0,0,0,2,1,12,16,1,0,0,0,1,14,15,2,0,0,0,0,2,9,16,10,0,0,0,0,2,0,7,16,3,0,0,0,13,10,5,16,7,0,0,0,7,13,14,15,2,0,3\n0,0,6,15,16,12,1,0,0,3,16,9,8,15,7,0,0,3,3,0,0,15,6,0,0,0,0,0,6,15,2,0,0,0,0,1,15,6,0,0,0,0,1,12,10,0,0,0,0,0,8,16,13,13,6,0,0,0,6,14,12,4,0,0,2\n0,0,1,8,14,13,2,0,0,2,13,12,8,15,2,0,0,6,15,2,11,6,0,0,0,0,5,14,15,1,0,0,0,0,0,12,13,0,0,0,0,0,0,15,15,5,0,0,0,0,0,16,9,15,0,0,0,0,0,9,16,10,0,0,8\n0,0,6,12,16,16,9,0,0,0,12,5,1,14,10,0,0,0,0,2,12,12,0,0,0,0,4,15,14,1,0,0,0,0,4,13,16,8,0,0,0,0,0,0,2,16,1,0,0,0,4,8,12,13,0,0,0,0,7,14,7,1,0,0,3\n0,0,4,12,15,9,1,0,0,7,14,8,13,15,2,0,0,5,7,12,11,1,0,0,0,0,4,16,5,0,0,0,0,0,10,15,10,0,0,0,0,0,9,6,12,4,0,0,0,0,7,9,10,9,0,0,0,0,2,12,16,7,0,0,8\n0,0,2,10,15,5,0,0,0,3,9,12,7,16,0,0,0,12,9,5,6,14,1,0,0,4,12,6,16,4,0,0,0,0,8,16,10,0,0,0,0,0,8,14,16,7,0,0,0,0,12,6,5,16,11,0,0,0,3,14,16,13,7,0,8\n0,0,4,15,15,16,16,15,0,0,5,12,12,11,16,11,0,0,0,0,0,7,16,3,0,0,2,11,16,16,14,0,0,0,14,12,16,13,0,0,0,0,6,4,15,1,0,0,0,0,1,12,10,0,0,0,0,0,8,14,1,0,0,0,7\n0,0,1,10,13,16,14,0,0,0,9,15,12,15,16,1,0,0,1,2,0,10,14,0,0,0,0,2,4,16,12,0,0,0,5,16,16,16,5,0,0,0,7,12,16,8,0,0,0,0,0,6,16,3,0,0,0,0,0,13,11,1,0,0,7\n0,0,2,9,12,13,3,0,0,1,14,10,4,14,5,0,0,6,12,4,8,16,2,0,0,1,11,12,12,16,3,0,0,0,0,0,8,11,0,0,0,0,0,1,14,4,0,0,0,0,0,5,14,0,0,0,0,0,0,7,10,0,0,0,9\n0,0,15,16,16,11,3,0,0,0,11,7,7,13,13,0,0,0,0,0,5,15,6,0,0,0,2,11,16,7,0,0,0,0,3,16,16,13,1,0,0,0,0,0,8,16,2,0,0,0,14,12,15,11,0,0,0,0,11,9,6,0,0,0,3\n0,0,0,1,7,15,5,0,0,0,5,13,16,16,8,0,0,4,15,11,5,16,7,0,0,1,4,0,3,16,4,0,0,0,0,0,4,16,0,0,0,0,0,0,8,16,0,0,0,0,0,0,12,16,0,0,0,0,0,0,12,12,0,0,1\n0,0,6,16,15,3,0,0,0,2,16,11,13,13,0,0,0,7,14,1,1,14,4,0,0,8,12,0,0,8,12,0,0,9,11,0,0,8,12,0,0,8,13,1,0,14,11,0,0,1,16,13,14,16,6,0,0,0,6,16,15,7,0,0,0\n0,2,12,14,16,12,1,0,0,1,16,16,14,11,1,0,0,0,12,13,0,0,0,0,0,0,7,15,3,0,0,0,0,0,0,15,9,0,0,0,0,0,0,9,15,0,0,0,0,0,3,8,16,3,0,0,0,1,15,16,16,3,0,0,5\n0,0,1,12,10,2,0,0,0,0,0,9,16,9,0,0,0,0,0,14,16,12,0,0,0,0,1,16,16,12,0,0,0,0,4,16,16,10,0,0,0,0,6,16,16,10,0,0,0,0,1,16,16,12,0,0,0,0,3,11,13,12,3,0,1\n0,0,0,1,12,4,0,0,0,0,0,9,14,0,0,0,0,0,2,16,5,0,0,0,0,0,5,16,9,2,0,0,0,2,16,16,13,16,8,0,0,0,9,15,0,2,15,0,0,0,0,15,8,8,16,3,0,0,0,3,11,13,10,0,6\n0,0,0,9,10,0,0,0,0,0,6,16,5,0,0,0,0,1,15,9,0,0,0,0,0,4,16,4,0,0,0,0,0,7,16,14,15,6,0,0,0,2,15,5,2,12,6,0,0,0,9,14,3,6,16,0,0,0,0,8,14,14,12,0,6\n0,1,13,16,10,0,0,0,0,2,14,15,16,2,0,0,0,0,0,8,16,4,0,0,0,0,0,13,16,1,0,0,0,0,1,16,11,0,0,0,0,0,11,16,3,5,1,0,0,1,15,16,14,16,4,0,0,1,13,16,15,5,0,0,2\n0,0,2,16,10,0,0,0,0,0,7,16,14,1,0,0,0,0,9,16,13,0,0,0,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1,16,16,16,2,0,0,0,6,11,11,16,12,1,0,0,0,0,1,14,16,7,0,0,0,0,0,6,16,13,0,0,0,0,0,7,16,16,3,0,0,2,12,16,15,8,1,1\n0,0,4,15,12,3,0,0,0,3,16,16,16,13,0,0,0,5,16,16,16,13,0,0,0,0,2,2,7,16,1,0,0,0,0,0,7,16,3,0,0,0,0,1,15,13,0,0,0,0,2,13,16,8,0,0,0,0,6,15,5,0,0,0,9\n0,1,11,12,12,13,2,0,0,7,16,9,8,8,2,0,0,7,14,8,8,1,0,0,0,3,15,11,11,13,0,0,0,0,0,0,4,16,0,0,0,0,0,0,9,13,0,0,0,0,2,11,14,4,0,0,0,0,12,9,1,0,0,0,5\n0,0,6,13,16,14,0,0,0,0,14,12,14,13,0,0,0,0,0,0,13,7,0,0,0,0,0,3,16,10,4,0,0,0,13,16,16,16,8,0,0,0,10,15,14,12,4,0,0,0,3,16,5,0,0,0,0,0,6,14,0,0,0,0,7\n0,0,0,9,12,5,0,0,0,0,0,16,9,15,2,0,0,0,0,16,6,16,4,0,0,0,0,4,16,16,8,0,0,0,0,0,2,15,4,0,0,0,0,0,0,10,7,0,0,0,16,11,3,13,4,0,0,0,3,6,13,15,2,0,9\n0,0,0,3,13,2,0,0,0,0,0,9,16,2,0,0,0,0,2,15,16,4,0,0,0,2,13,16,16,2,0,0,0,4,12,8,16,7,0,0,0,0,0,4,16,9,0,0,0,0,0,5,16,16,0,0,0,0,0,2,15,9,0,0,1\n0,0,5,14,11,2,0,0,0,3,16,10,15,13,0,0,0,8,13,0,14,16,1,0,0,3,16,13,16,15,3,0,0,0,3,16,16,3,0,0,0,0,1,16,16,14,0,0,0,0,6,16,13,16,4,0,0,0,5,15,12,12,1,0,8\n0,0,0,6,16,6,0,0,0,0,0,12,16,13,0,0,0,0,9,16,16,16,0,0,0,8,16,16,16,13,0,0,0,0,4,3,16,14,0,0,0,0,0,3,16,13,0,0,0,0,0,4,16,16,2,0,0,0,0,4,16,11,2,0,1\n0,0,2,13,15,6,0,0,0,0,8,14,10,16,3,0,0,0,15,6,0,10,8,0,0,6,15,1,0,11,7,0,0,8,13,0,0,10,8,0,0,7,14,1,0,16,2,0,0,1,15,14,11,14,0,0,0,0,3,15,12,1,0,0,0\n0,0,2,15,15,7,0,0,0,0,10,12,6,16,5,0,0,2,16,3,0,8,10,0,0,7,16,0,0,8,8,0,0,3,16,4,0,12,5,0,0,0,16,7,1,15,3,0,0,0,12,13,13,10,0,0,0,0,2,12,13,1,0,0,0\n0,1,10,15,9,0,0,0,0,5,16,8,16,7,0,0,0,5,14,0,12,9,0,0,0,1,12,13,16,16,2,0,0,0,1,9,12,14,7,0,0,0,0,0,0,4,13,0,0,0,14,12,8,11,16,0,0,0,7,16,16,16,9,0,9\n0,0,5,11,0,0,0,0,0,0,13,6,0,0,0,0,0,2,16,4,0,0,0,0,0,8,13,0,0,0,0,0,0,8,16,15,12,6,0,0,0,8,16,14,12,16,2,0,0,2,16,12,5,16,4,0,0,0,5,14,15,10,0,0,6\n0,0,4,13,1,0,0,0,0,0,10,12,0,0,0,0,0,0,13,9,0,0,0,0,0,0,15,6,0,0,0,0,0,2,16,9,4,2,0,0,0,3,16,15,12,15,6,0,0,1,14,15,4,13,14,0,0,0,3,13,16,14,5,0,6\n0,4,16,9,0,0,0,0,0,9,16,16,3,0,0,0,0,12,8,16,4,0,0,0,0,5,2,16,5,0,0,0,0,0,0,16,4,0,0,0,0,0,3,16,4,0,0,0,0,5,15,16,13,12,8,0,0,4,16,16,16,16,12,0,2\n0,1,7,6,12,14,7,0,0,4,16,13,7,4,1,0,0,5,14,4,2,0,0,0,0,5,16,16,15,3,0,0,0,1,7,3,14,8,0,0,0,0,0,0,12,6,0,0,0,1,3,5,15,2,0,0,0,1,13,13,5,0,0,0,5\n0,0,10,16,10,2,0,0,0,5,15,5,16,15,0,0,0,6,14,2,10,16,2,0,0,0,12,16,16,16,4,0,0,0,0,3,8,14,7,0,0,0,0,0,0,11,9,0,0,2,14,9,8,13,12,0,0,1,9,14,14,12,3,0,9\n0,0,3,14,1,0,0,0,0,0,10,14,1,7,0,0,0,0,15,9,7,16,0,0,0,5,16,4,13,13,0,0,0,12,16,16,16,16,9,0,0,3,8,15,16,12,2,0,0,0,1,16,11,0,0,0,0,0,3,16,5,0,0,0,4\n0,0,1,15,6,0,0,0,0,0,8,15,2,0,0,0,0,0,15,9,0,0,0,0,0,2,16,10,0,0,0,0,0,8,16,11,10,4,0,0,0,5,16,16,11,16,6,0,0,2,15,16,11,16,11,0,0,0,3,11,15,13,1,0,6\n0,0,0,8,13,0,0,0,0,0,5,16,5,6,2,0,0,0,14,10,2,16,6,0,0,6,16,3,9,15,0,0,0,11,16,16,16,16,6,0,0,4,12,14,16,12,2,0,0,0,0,8,16,4,0,0,0,0,0,11,11,1,0,0,4\n0,0,2,12,12,2,0,0,0,3,14,13,11,11,0,0,0,5,16,2,2,14,4,0,0,7,14,2,0,12,7,0,0,4,12,0,0,12,5,0,0,2,14,1,2,15,2,0,0,0,11,10,13,8,0,0,0,0,3,13,12,2,0,0,0\n0,0,3,13,16,15,1,0,0,0,6,12,13,16,4,0,0,0,0,0,9,16,1,0,0,0,2,5,14,14,3,0,0,0,14,16,16,16,10,0,0,0,5,10,16,7,1,0,0,0,1,16,11,0,0,0,0,0,5,16,5,0,0,0,7\n0,0,4,15,10,5,0,0,0,0,15,10,13,16,2,0,0,4,15,1,9,16,4,0,0,0,14,14,16,16,4,0,0,0,1,4,2,15,5,0,0,0,1,0,0,13,6,0,0,7,16,8,9,15,5,0,0,0,6,12,13,11,1,0,9\n0,0,7,15,13,1,0,0,0,0,15,9,13,10,0,0,0,0,16,5,12,12,0,0,0,0,4,15,16,12,0,0,0,0,0,2,7,15,1,0,0,0,0,0,0,15,4,0,0,4,12,7,5,14,4,0,0,0,7,13,13,9,1,0,9\n0,0,1,14,7,0,0,0,0,1,13,16,14,11,0,0,0,4,16,12,0,14,3,0,0,6,14,14,0,8,8,0,0,4,16,14,0,8,8,0,0,1,15,3,0,10,8,0,0,0,7,15,10,16,1,0,0,0,1,9,16,8,0,0,0\n0,0,7,12,13,12,10,0,0,1,16,10,4,8,4,0,0,1,16,9,8,2,0,0,0,7,15,12,14,9,0,0,0,0,0,0,6,12,0,0,0,0,0,0,7,14,0,0,0,0,6,8,12,12,0,0,0,0,12,13,9,0,0,0,5\n0,1,11,12,0,0,0,0,0,7,14,15,6,0,0,0,0,7,3,12,10,0,0,0,0,0,0,15,14,5,0,0,0,0,0,8,10,16,2,0,0,0,0,0,0,12,8,0,0,0,9,8,8,15,10,0,0,0,13,16,14,8,1,0,3\n0,1,10,15,8,0,0,0,0,4,16,10,13,14,1,0,0,8,16,0,10,16,4,0,0,1,16,12,15,16,4,0,0,0,2,11,10,16,6,0,0,0,0,0,0,16,6,0,0,0,12,11,11,16,4,0,0,0,7,12,12,7,0,0,9\n0,0,0,8,10,0,0,0,0,0,4,15,2,0,0,0,0,0,11,9,0,12,3,0,0,2,15,0,3,15,0,0,0,6,16,6,10,14,0,0,0,2,16,16,16,14,0,0,0,0,0,6,15,1,0,0,0,0,0,10,9,0,0,0,4\n0,0,7,15,4,0,0,0,0,0,14,16,12,0,0,0,0,0,12,6,16,0,0,0,0,0,0,10,16,2,0,0,0,0,0,8,14,15,3,0,0,0,0,0,0,9,11,0,0,0,5,9,9,15,11,0,0,0,9,14,12,9,1,0,3\n0,0,4,14,0,0,0,0,0,0,15,7,0,0,0,0,0,3,13,0,0,0,0,0,0,6,12,4,3,0,0,0,0,8,16,16,16,13,1,0,0,4,16,8,2,16,6,0,0,2,16,13,10,16,4,0,0,0,5,15,13,3,0,0,6\n0,1,11,14,6,0,0,0,0,7,12,5,15,0,0,0,0,6,6,1,16,0,0,0,0,0,0,5,16,0,0,0,0,0,0,13,16,12,0,0,0,0,0,0,3,14,6,0,0,0,5,7,6,14,8,0,0,0,14,16,16,11,1,0,3\n0,5,16,5,0,0,0,0,0,9,16,14,0,0,0,0,0,12,14,14,0,0,0,0,0,7,13,12,0,0,0,0,0,0,11,8,0,3,1,0,0,0,16,8,7,14,11,0,0,8,16,16,16,16,11,0,0,6,16,16,11,6,1,0,2\n0,0,9,12,11,0,0,0,0,7,13,4,14,2,0,0,0,2,6,0,14,4,0,0,0,0,0,8,14,0,0,0,0,0,0,10,14,13,1,0,0,0,0,0,1,14,5,0,0,0,8,5,10,14,2,0,0,1,15,16,11,1,0,0,3\n0,0,10,15,9,1,0,0,0,5,16,10,16,9,0,0,0,7,10,0,14,10,0,0,0,3,15,7,12,15,1,0,0,0,4,11,14,16,4,0,0,0,0,0,0,12,11,0,0,0,11,9,5,12,13,0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2,12,0,0,0,0,0,0,11,13,0,0,0,0,0,0,8,16,5,0,0,0,0,0,6,16,5,0,1\n0,0,10,14,8,0,0,0,0,7,15,5,15,9,0,0,0,8,11,0,5,15,2,0,0,4,16,6,5,16,4,0,0,0,8,12,11,14,7,0,0,0,0,0,0,11,9,0,0,0,4,2,0,11,11,0,0,0,11,16,16,15,4,0,9\n0,0,14,5,0,0,0,0,0,0,13,8,0,0,0,0,0,0,16,7,0,0,0,0,0,0,15,8,0,0,0,0,0,2,16,5,15,3,0,0,0,2,16,9,14,11,1,0,0,6,16,16,16,16,15,0,0,1,8,5,7,16,8,0,4\n0,1,10,13,10,1,0,0,0,6,14,4,10,15,2,0,0,8,12,0,2,16,3,0,0,2,14,8,10,16,4,0,0,0,2,4,4,13,6,0,0,0,0,0,0,12,8,0,0,6,12,2,6,16,4,0,0,1,10,16,13,5,0,0,9\n0,0,6,15,11,1,0,0,0,0,15,7,13,15,2,0,0,5,14,0,2,16,4,0,0,3,15,8,10,16,4,0,0,0,6,12,10,14,8,0,0,2,3,0,0,12,7,0,0,9,15,8,8,16,3,0,0,0,7,15,15,4,0,0,9\n0,0,7,15,14,9,0,0,0,4,15,5,12,16,4,0,0,7,13,1,9,14,3,0,0,1,14,16,16,2,0,0,0,0,12,12,14,12,0,0,0,2,16,1,2,15,4,0,0,1,15,7,0,14,8,0,0,0,6,16,16,13,2,0,8\n0,1,10,15,6,0,0,0,0,7,13,6,13,2,0,0,0,7,8,0,13,4,0,0,0,0,1,0,13,4,0,0,0,0,0,3,14,0,0,0,0,0,0,11,10,0,0,0,0,0,7,16,5,4,2,0,0,0,15,16,14,16,15,0,2\n0,0,6,16,16,15,14,0,0,0,2,4,10,16,5,0,0,0,0,1,12,10,0,0,0,1,6,11,16,13,6,0,0,7,14,16,14,9,4,0,0,0,1,16,8,0,0,0,0,0,4,16,8,0,0,0,0,0,5,15,2,0,0,0,7\n0,0,4,13,1,0,0,0,0,0,13,11,0,0,0,0,0,2,16,3,0,0,0,0,0,4,16,11,5,1,0,0,0,4,16,15,15,13,4,0,0,2,16,2,0,7,14,0,0,0,14,10,8,9,16,2,0,0,4,13,16,12,10,0,6\n0,0,10,14,12,1,0,0,0,4,11,4,10,9,0,0,0,1,3,0,7,11,0,0,0,0,0,4,14,6,0,0,0,0,0,11,13,15,1,0,0,0,0,0,0,14,7,0,0,3,6,2,4,15,6,0,0,1,11,15,14,8,0,0,3\n0,0,4,14,15,6,0,0,0,0,13,5,9,11,0,0,0,0,0,0,5,11,0,0,0,0,1,9,16,4,0,0,0,0,3,9,9,15,1,0,0,0,0,0,0,15,4,0,0,8,14,8,5,16,4,0,0,0,6,14,15,8,0,0,3\n0,0,2,14,11,8,12,1,0,0,8,10,9,14,14,0,0,0,10,1,0,12,4,0,0,0,1,2,7,13,1,0,0,0,1,15,16,16,5,0,0,0,0,3,13,2,0,0,0,0,0,9,7,0,0,0,0,0,0,15,4,0,0,0,7\n0,1,13,12,1,0,0,0,0,5,13,12,9,0,0,0,0,1,11,4,16,0,0,0,0,0,3,1,16,3,0,0,0,0,0,2,16,0,0,0,0,0,0,5,15,1,0,0,0,0,7,16,11,4,5,0,0,0,15,16,16,16,16,0,2\n0,0,0,7,9,0,0,0,0,0,4,15,6,0,0,0,0,0,11,11,0,0,0,0,0,1,16,14,12,4,0,0,0,3,16,16,13,14,3,0,0,0,16,6,1,8,11,0,0,0,11,11,1,1,16,0,0,0,2,9,14,16,16,1,6\n0,0,6,15,12,1,0,0,0,0,16,9,15,14,2,0,0,6,14,0,2,16,6,0,0,5,15,5,6,16,4,0,0,0,6,12,12,15,8,0,0,0,0,0,0,13,7,0,0,2,14,4,7,16,2,0,0,0,7,15,15,5,0,0,9\n0,0,0,4,16,2,0,0,0,0,0,8,16,0,0,0,0,0,0,14,11,0,0,0,0,0,7,15,1,0,0,0,0,0,15,11,9,3,0,0,0,9,16,11,16,9,0,0,0,13,16,16,16,16,6,0,0,1,0,8,16,5,0,0,4\n0,0,5,16,14,8,0,0,0,5,15,6,11,16,1,0,0,8,14,0,5,16,1,0,0,1,12,14,16,8,0,0,0,0,6,14,15,10,0,0,0,0,12,4,1,13,6,0,0,0,12,7,1,13,8,0,0,0,4,15,16,10,1,0,8\n0,0,8,14,14,9,0,0,0,1,16,9,14,15,9,0,0,2,16,6,9,15,6,0,0,0,8,16,16,4,0,0,0,0,10,12,13,12,0,0,0,1,15,2,1,16,6,0,0,2,14,4,6,16,4,0,0,0,10,16,16,10,1,0,8\n0,3,14,15,5,0,0,0,0,8,11,7,15,2,0,0,0,9,4,0,16,4,0,0,0,1,3,0,14,8,0,0,0,0,0,4,15,0,0,0,0,0,0,12,10,0,0,0,0,1,14,16,10,10,6,0,0,2,14,15,13,16,12,0,2\n0,0,13,12,12,12,5,0,0,3,16,7,4,4,2,0,0,5,16,8,5,0,0,0,0,5,14,11,16,6,0,0,0,0,0,0,6,14,0,0,0,0,0,0,0,16,0,0,0,2,4,1,9,16,0,0,0,1,13,16,13,2,0,0,5\n0,0,6,15,15,11,5,0,0,0,14,8,12,15,13,0,0,2,16,3,0,11,12,0,0,0,13,16,15,13,1,0,0,0,6,16,16,7,0,0,0,0,13,5,11,12,0,0,0,0,13,11,9,16,2,0,0,0,6,14,15,7,0,0,8\n0,0,0,5,15,0,0,0,0,0,0,12,12,0,0,0,0,0,0,16,8,0,0,0,0,0,9,14,4,1,0,0,0,0,16,7,16,8,0,0,0,11,16,15,16,16,3,0,0,13,16,16,16,16,7,0,0,0,0,5,16,2,0,0,4\n0,0,6,13,6,0,0,0,0,0,14,11,16,10,0,0,0,2,14,0,9,15,0,0,0,5,9,0,0,12,3,0,0,8,8,0,0,8,5,0,0,7,11,0,0,8,8,0,0,1,15,7,5,14,4,0,0,0,6,16,16,9,0,0,0\n0,0,0,11,10,5,8,5,0,0,5,14,13,16,13,3,0,0,12,5,1,15,3,0,0,0,7,1,9,9,0,0,0,0,9,16,16,16,6,0,0,0,0,6,12,4,1,0,0,0,0,13,5,0,0,0,0,0,2,13,1,0,0,0,7\n0,0,0,9,10,0,0,0,0,0,2,15,9,0,0,0,0,0,6,16,6,0,0,0,0,0,13,13,5,1,0,0,0,3,16,7,16,8,0,0,1,13,16,10,16,12,0,0,0,13,16,16,16,16,3,0,0,2,4,10,16,2,0,0,4\n0,0,8,13,10,0,0,0,0,1,16,7,14,10,1,0,0,5,12,0,2,16,4,0,0,3,16,10,9,16,4,0,0,0,3,8,8,14,6,0,0,0,0,0,0,12,8,0,0,3,12,3,3,14,6,0,0,1,9,15,16,9,0,0,9\n0,0,0,4,13,4,0,0,0,0,0,9,16,11,0,0,0,5,16,16,16,8,0,0,0,0,4,11,16,9,0,0,0,0,0,4,16,12,0,0,0,0,0,4,16,14,0,0,0,0,0,12,16,16,5,0,0,0,0,3,16,16,4,0,1\n0,0,5,14,9,3,0,0,0,0,14,11,16,15,2,0,0,5,11,0,11,15,4,0,0,7,8,0,0,9,7,0,0,4,9,0,0,8,8,0,0,4,13,0,0,9,5,0,0,2,16,5,7,15,0,0,0,0,7,15,15,6,0,0,0\n0,0,11,13,2,0,0,0,0,5,13,9,14,0,0,0,0,4,8,0,12,8,0,0,0,1,5,0,11,8,0,0,0,0,0,0,12,7,0,0,0,0,0,6,15,1,0,0,0,0,5,16,11,2,0,0,0,0,11,16,16,16,16,1,2\n0,1,10,13,4,0,0,0,0,9,13,8,14,2,0,0,0,5,10,0,14,4,0,0,0,1,2,0,12,7,0,0,0,0,0,0,13,4,0,0,0,0,0,1,15,3,0,0,0,0,6,15,11,4,2,0,0,0,12,16,16,16,15,0,2\n0,1,11,13,16,1,0,0,0,3,16,5,4,4,1,0,0,5,15,3,4,0,0,0,0,4,15,12,13,15,2,0,0,0,0,0,0,10,8,0,0,0,0,0,0,10,8,0,0,2,8,7,5,15,5,0,0,0,8,12,16,12,0,0,5\n0,1,14,13,4,0,0,0,0,6,15,11,15,0,0,0,0,8,14,9,16,4,0,0,0,2,8,11,15,6,0,0,0,0,0,0,7,13,1,0,0,0,0,0,0,11,10,0,0,0,10,4,0,3,15,0,0,0,10,14,16,16,15,0,9\n0,0,0,1,13,9,0,0,0,0,0,7,16,5,0,0,0,0,1,14,12,0,0,0,0,4,14,13,2,13,6,0,0,6,16,16,16,16,9,0,0,0,6,8,13,16,0,0,0,0,0,0,15,11,0,0,0,0,0,2,16,9,0,0,4\n0,0,3,14,8,8,8,0,0,0,2,11,12,15,10,0,0,0,0,0,0,13,4,0,0,1,16,16,16,15,3,0,0,2,8,8,16,16,6,0,0,0,0,8,13,3,1,0,0,0,1,16,7,0,0,0,0,0,5,11,1,0,0,0,7\n0,0,5,16,5,0,0,0,0,0,2,16,13,0,0,0,0,0,11,16,16,2,0,0,0,0,3,12,16,9,0,0,0,0,0,0,14,14,0,0,0,0,0,0,9,16,3,0,0,0,9,12,14,16,8,5,0,0,4,12,13,16,16,15,1\n0,0,4,6,14,6,0,0,0,8,16,15,13,10,0,0,0,3,12,3,2,13,0,0,0,0,11,11,13,11,0,0,0,0,6,16,16,3,0,0,0,0,16,9,6,13,2,0,0,0,9,8,0,3,14,0,0,0,0,6,15,16,16,4,8\n0,0,8,16,16,11,2,0,0,0,5,8,9,16,9,0,0,0,0,0,2,16,5,0,0,0,4,8,12,12,0,0,0,0,11,16,16,16,4,0,0,0,2,14,11,14,5,0,0,0,6,16,2,0,0,0,0,0,10,14,0,0,0,0,7\n0,0,0,4,16,10,0,0,0,0,0,7,16,6,0,0,0,0,0,15,11,1,0,0,0,0,9,15,2,1,0,0,0,11,16,9,5,15,7,0,0,8,16,16,16,16,1,0,0,0,2,8,16,11,0,0,0,0,0,6,16,6,0,0,4\n0,0,7,16,8,0,0,0,0,0,13,16,16,7,0,0,0,4,16,7,11,15,0,0,0,6,12,0,0,14,6,0,0,8,12,0,0,14,8,0,0,7,13,0,6,15,7,0,0,4,16,16,16,16,1,0,0,0,7,14,7,0,0,0,0\n0,0,16,10,0,0,0,0,0,3,16,16,6,0,0,0,0,0,16,12,12,0,0,0,0,0,13,11,14,0,0,0,0,0,1,6,16,0,0,0,0,0,0,10,12,0,0,0,0,0,13,16,16,14,8,0,0,1,13,16,16,15,16,5,2\n0,0,10,14,14,11,1,0,0,4,16,12,5,14,11,0,0,5,14,2,4,13,8,0,0,1,11,11,14,6,0,0,0,0,9,16,5,0,0,0,0,4,13,11,9,0,0,0,0,5,11,2,16,2,0,0,0,0,13,16,16,6,0,0,8\n0,0,7,13,14,1,0,0,0,0,16,10,5,0,0,0,0,1,16,13,8,3,0,0,0,0,12,10,11,15,3,0,0,0,0,0,0,9,8,0,0,0,0,0,0,3,11,0,0,1,7,4,4,11,11,0,0,1,11,14,15,12,2,0,5\n0,0,0,8,14,3,0,0,0,0,1,16,15,7,0,0,0,0,7,15,5,0,0,0,0,3,14,14,5,0,0,0,0,3,16,10,12,10,0,0,0,0,11,5,0,14,2,0,0,0,3,11,6,14,1,0,0,0,0,7,15,6,0,0,6\n0,0,0,4,13,3,0,0,0,0,6,16,13,2,0,0,0,2,16,9,0,0,0,0,0,3,16,10,2,0,0,0,0,2,16,16,16,14,3,0,0,1,13,9,2,8,11,0,0,0,3,15,8,9,16,1,0,0,0,3,11,14,10,0,6\n0,0,10,16,16,12,6,0,0,0,6,9,16,16,15,1,0,0,0,0,3,13,9,0,0,1,12,8,10,16,2,0,0,1,15,16,16,16,8,0,0,0,1,13,11,10,4,0,0,0,3,16,2,0,0,0,0,0,9,14,0,0,0,0,7\n0,0,8,15,14,1,0,0,0,0,15,15,7,0,0,0,0,0,14,15,9,2,0,0,0,0,10,15,14,14,3,0,0,0,1,1,0,11,12,0,0,0,0,0,0,3,16,1,0,2,14,6,4,7,16,3,0,0,9,16,16,16,13,1,5\n0,0,0,1,14,10,0,0,0,0,0,2,16,9,0,0,0,0,1,11,14,3,0,0,0,1,10,16,6,9,6,0,0,10,16,15,13,16,9,0,0,5,11,12,16,15,1,0,0,0,0,0,16,12,0,0,0,0,0,0,16,11,0,0,4\n0,4,15,16,4,0,0,0,0,8,16,11,15,0,0,0,0,6,14,4,16,4,0,0,0,0,2,4,16,3,0,0,0,0,0,11,15,0,0,0,0,0,9,16,4,0,0,0,0,10,16,16,16,13,3,0,0,5,14,12,13,16,12,0,2\n0,0,0,12,11,0,0,0,0,0,11,16,10,0,0,0,0,0,16,13,0,0,0,0,0,3,16,3,0,0,0,0,0,2,16,16,11,1,0,0,0,0,14,11,3,10,0,0,0,0,5,14,2,9,6,0,0,0,0,7,16,16,6,0,6\n0,0,8,13,8,0,0,0,0,4,13,6,14,3,0,0,0,7,8,0,12,5,0,0,0,3,10,8,16,1,0,0,0,0,0,5,14,12,0,0,0,0,0,0,0,13,8,0,0,0,10,10,0,6,12,0,0,0,4,15,16,16,6,0,3\n0,0,12,16,16,16,3,0,0,0,6,9,12,16,7,0,0,0,0,0,8,15,3,0,0,3,15,16,16,7,0,0,0,1,8,16,16,15,2,0,0,0,3,16,10,14,6,0,0,0,11,16,0,0,0,0,0,0,12,11,0,0,0,0,7\n0,0,5,12,10,0,0,0,0,2,15,14,16,1,0,0,0,0,11,3,16,1,0,0,0,0,0,0,11,5,0,0,0,0,0,0,7,14,0,0,0,0,0,0,0,9,10,0,0,0,10,7,5,12,12,0,0,0,6,14,16,13,4,0,3\n0,0,5,11,12,9,0,0,0,0,12,14,5,16,0,0,0,1,16,5,6,11,0,0,0,0,16,8,15,3,0,0,0,0,9,16,9,0,0,0,0,1,11,4,13,4,0,0,0,3,13,2,4,14,0,0,0,0,5,8,11,11,0,0,8\n0,0,1,7,12,7,0,0,0,0,6,16,10,5,0,0,0,0,14,16,14,4,0,0,0,0,3,4,6,13,0,0,0,0,0,0,0,11,6,0,0,0,0,0,0,7,9,0,0,0,10,5,2,8,11,0,0,0,4,14,16,16,4,0,5\n0,0,9,16,15,1,0,0,0,0,3,8,16,5,0,0,0,0,0,0,14,7,0,0,0,2,11,9,16,3,0,0,0,11,16,16,16,12,1,0,0,0,0,13,15,16,5,0,0,0,5,16,2,0,0,0,0,0,10,10,0,0,0,0,7\n0,0,11,16,7,0,0,0,0,4,15,8,16,9,0,0,0,8,10,0,9,12,0,0,0,4,15,11,13,13,0,0,0,0,0,7,6,16,0,0,0,0,0,0,0,13,2,0,0,0,7,7,2,12,4,0,0,0,6,13,16,16,6,0,9\n0,0,0,12,8,0,0,0,0,0,0,16,8,0,0,0,0,0,10,16,3,0,0,0,0,7,16,12,12,4,0,0,0,8,16,16,16,16,9,0,0,1,9,15,16,10,6,0,0,0,0,12,13,0,0,0,0,0,0,14,12,0,0,0,4\n0,0,11,16,16,4,0,0,0,0,12,16,12,3,0,0,0,2,16,16,15,4,0,0,0,0,5,8,11,15,3,0,0,0,0,0,0,10,12,0,0,0,3,1,0,3,16,0,0,0,16,12,8,11,16,1,0,0,8,14,16,16,11,0,5\n0,0,4,10,15,4,0,0,0,0,8,13,6,1,0,0,0,1,15,14,10,1,0,0,0,0,11,8,10,12,1,0,0,0,0,0,0,10,6,0,0,0,0,0,0,2,14,0,0,0,6,7,3,3,15,2,0,0,4,13,16,16,15,1,5\n0,0,9,16,16,16,7,0,0,0,4,8,8,14,14,0,0,0,0,0,2,15,6,0,0,0,10,12,14,14,0,0,0,0,8,16,16,16,6,0,0,0,0,15,9,13,4,0,0,0,7,16,1,0,0,0,0,0,11,10,0,0,0,0,7\n0,2,12,15,11,3,0,0,0,10,13,5,13,13,0,0,0,2,2,0,12,14,0,0,0,0,0,7,15,3,0,0,0,0,0,5,15,3,0,0,0,0,0,0,8,15,1,0,0,0,8,5,4,12,10,0,0,0,14,16,16,16,5,0,3\n0,0,5,13,6,1,0,0,0,0,8,16,16,15,2,0,0,0,3,13,1,13,8,0,0,0,2,14,15,14,2,0,0,2,14,15,15,3,0,0,0,7,11,0,6,10,0,0,0,5,11,1,1,16,0,0,0,0,8,13,16,13,1,0,8\n0,0,0,1,15,6,0,0,0,0,0,6,15,2,0,0,0,0,1,16,9,0,0,0,0,1,11,14,2,9,7,0,0,12,16,14,15,16,9,0,0,9,12,12,14,14,2,0,0,0,0,0,14,15,0,0,0,0,0,0,16,14,0,0,4\n0,0,2,10,16,12,0,0,0,2,15,13,9,16,2,0,0,1,9,0,8,14,1,0,0,0,0,4,16,10,0,0,0,0,0,1,10,16,3,0,0,0,2,0,0,14,7,0,0,0,9,12,11,16,3,0,0,0,1,11,14,6,0,0,3\n0,0,0,10,5,0,0,0,0,0,0,15,5,0,0,0,0,0,10,12,1,14,1,0,0,5,16,4,8,15,0,0,0,7,16,16,16,16,5,0,0,0,3,5,15,8,1,0,0,0,0,9,12,0,0,0,0,0,0,12,8,0,0,0,4\n0,0,1,11,3,0,0,0,0,0,13,15,13,0,0,0,0,3,16,2,8,5,0,0,0,6,16,14,15,14,2,0,0,2,14,16,16,16,5,0,0,0,1,4,3,9,6,0,0,0,4,6,10,16,5,0,0,0,1,11,10,4,0,0,9\n0,0,0,3,11,0,0,0,0,0,0,11,7,0,0,0,0,0,4,14,2,5,0,0,0,0,12,9,7,11,0,0,0,7,16,12,14,10,1,0,0,3,10,13,16,16,8,0,0,0,0,5,14,0,0,0,0,0,0,7,10,0,0,0,4\n0,0,0,3,9,0,0,0,0,0,0,9,11,0,0,0,0,0,0,15,5,0,2,0,0,0,11,12,0,14,8,0,0,3,16,12,11,16,8,0,0,7,12,12,15,16,4,0,0,0,0,0,12,7,0,0,0,0,0,5,13,2,0,0,4\n0,1,13,16,14,1,0,0,0,14,15,8,14,10,0,0,0,5,5,0,13,10,0,0,0,0,0,12,16,8,0,0,0,0,4,16,16,16,5,0,0,0,0,3,0,16,10,0,0,0,3,4,10,16,8,0,0,0,11,16,16,8,0,0,3\n0,0,3,14,14,2,0,0,0,4,16,16,16,7,0,0,0,4,16,8,3,15,1,0,0,3,16,6,0,14,5,0,0,1,16,5,0,13,7,0,0,0,15,4,1,16,9,0,0,0,11,13,13,16,4,0,0,0,2,15,15,8,0,0,0\n0,0,4,12,14,2,0,0,0,4,15,10,10,10,0,0,0,9,16,0,5,12,0,0,0,5,16,9,14,16,4,0,0,0,7,8,7,15,6,0,0,0,0,0,0,10,12,0,0,0,1,4,4,14,12,0,0,0,3,13,16,11,4,0,9\n0,0,8,16,12,0,0,0,0,4,16,9,8,9,0,0,0,6,16,3,1,16,0,0,0,0,14,16,16,11,0,0,0,0,3,16,16,14,0,0,0,0,9,16,3,14,2,0,0,0,10,15,7,16,2,0,0,0,5,16,15,7,0,0,8\n0,0,2,11,9,0,0,0,0,0,12,7,8,8,0,0,0,6,16,3,9,11,0,0,0,1,13,16,16,14,2,0,0,0,4,16,8,10,5,0,0,0,8,11,0,4,6,0,0,0,10,9,0,8,5,0,0,0,3,11,12,6,0,0,8\n0,0,0,9,10,0,0,0,0,0,2,16,16,3,0,0,0,0,13,16,9,0,0,0,0,1,15,13,0,0,0,0,0,2,16,13,11,12,4,0,0,1,15,16,16,16,15,1,0,0,8,16,16,16,16,4,0,0,0,7,12,13,14,3,6\n0,0,11,12,0,0,0,0,0,4,16,15,3,0,0,0,0,2,11,9,6,0,0,0,0,0,2,10,5,0,0,0,0,0,0,14,3,0,0,0,0,0,3,16,0,0,0,0,0,0,12,16,12,15,14,0,0,0,10,16,14,10,10,1,2\n0,0,4,13,10,3,0,0,0,0,16,15,13,13,0,0,0,1,16,9,8,15,0,0,0,2,16,15,15,16,1,0,0,0,7,12,12,16,6,0,0,0,0,0,0,14,10,0,0,0,3,2,1,14,11,0,0,0,5,13,14,12,2,0,9\n0,0,8,12,16,9,1,0,0,0,14,11,7,16,4,0,0,0,0,0,4,16,2,0,0,0,0,4,14,16,3,0,0,0,0,8,14,15,8,0,0,0,0,0,0,9,11,0,0,3,12,4,6,14,7,0,0,1,9,16,16,11,0,0,3\n0,0,4,13,13,0,0,0,0,0,12,14,12,7,0,0,0,0,12,12,5,14,0,0,0,0,12,10,0,12,3,0,0,4,16,5,0,8,8,0,0,4,16,2,0,9,8,0,0,3,14,9,4,15,5,0,0,0,4,13,14,10,0,0,0\n0,0,4,14,12,1,0,0,0,0,11,11,10,5,0,0,0,0,0,0,12,9,0,0,0,0,0,7,16,12,2,0,0,0,0,0,4,10,10,0,0,0,1,1,0,3,14,0,0,0,11,6,3,12,13,0,0,0,6,14,16,11,1,0,3\n0,0,3,16,14,4,0,0,0,0,10,16,16,15,0,0,0,2,16,12,5,14,2,0,0,5,16,4,0,10,6,0,0,6,16,1,0,7,9,0,0,3,16,3,0,9,12,0,0,0,13,14,13,16,9,0,0,0,3,13,16,12,2,0,0\n0,0,6,13,13,3,0,0,0,2,16,16,16,11,0,0,0,3,16,15,6,16,4,0,0,3,16,9,0,16,8,0,0,8,16,3,1,16,6,0,0,7,16,2,8,16,3,0,0,1,14,16,16,13,0,0,0,0,4,13,12,2,0,0,0\n0,0,5,14,7,0,0,0,0,2,16,16,16,3,0,0,0,1,16,8,13,9,0,0,0,0,6,3,16,7,0,0,0,0,0,0,16,7,0,0,0,0,0,11,15,0,0,0,0,0,9,16,14,8,10,0,0,0,6,15,12,16,16,7,2\n0,0,5,9,13,12,0,0,0,10,16,15,12,16,2,0,0,8,7,0,11,14,0,0,0,0,0,2,16,14,1,0,0,0,0,1,11,16,7,0,0,0,0,0,0,8,12,0,0,0,14,10,10,16,8,0,0,0,6,15,16,10,1,0,3\n0,0,11,12,7,0,0,0,0,3,16,14,16,3,0,0,0,6,16,6,16,6,0,0,0,2,15,16,16,14,0,0,0,0,4,9,8,15,6,0,0,0,0,0,0,11,11,0,0,0,2,4,9,16,7,0,0,0,10,16,13,8,1,0,9\n0,0,0,0,10,7,0,0,0,0,0,2,16,13,0,0,0,0,3,16,16,9,0,0,0,8,16,16,16,10,0,0,0,1,3,3,16,11,0,0,0,0,0,1,16,13,0,0,0,0,0,0,16,16,3,0,0,0,0,0,8,16,10,0,1\n0,0,3,13,14,3,0,0,0,0,15,16,16,12,0,0,0,4,16,8,6,16,0,0,0,5,16,7,1,15,3,0,0,8,16,6,0,16,5,0,0,4,16,7,0,15,6,0,0,3,15,14,12,16,4,0,0,0,3,15,15,8,0,0,0\n0,0,4,13,8,0,0,0,0,0,14,16,16,5,0,0,0,4,16,7,8,15,0,0,0,0,15,12,15,16,4,0,0,0,5,14,14,16,6,0,0,0,0,0,0,13,8,0,0,0,0,0,0,10,13,0,0,0,5,14,16,15,8,0,9\n0,0,0,11,14,2,0,0,0,0,5,16,16,11,0,0,0,2,16,10,6,14,0,0,0,2,16,10,2,14,2,0,0,3,16,10,0,9,8,0,0,3,16,4,0,11,11,0,0,0,12,13,9,16,8,0,0,0,1,11,15,9,2,0,0\n0,0,6,16,6,0,0,0,0,4,16,13,16,2,0,0,0,8,15,1,15,5,0,0,0,5,16,16,16,16,6,0,0,0,14,16,14,13,8,0,0,0,9,16,3,14,8,0,0,0,12,14,11,15,2,0,0,0,4,10,14,7,0,0,8\n0,0,8,16,14,6,0,0,0,5,16,13,12,14,0,0,0,6,16,12,4,0,0,0,0,9,16,16,15,3,0,0,0,0,6,5,14,10,0,0,0,0,0,0,12,14,0,0,0,0,15,9,16,14,0,0,0,0,6,15,15,6,0,0,5\n0,0,8,16,8,0,0,0,0,2,16,16,15,5,0,0,0,2,16,5,12,10,0,0,0,0,8,1,11,10,0,0,0,0,0,4,16,4,0,0,0,0,0,13,15,5,3,0,0,0,10,16,16,16,16,0,0,0,10,14,9,8,11,2,2\n0,0,0,2,11,0,0,0,0,0,0,11,8,0,0,0,0,0,1,16,3,9,0,0,0,0,11,11,2,16,0,0,0,4,16,10,12,15,5,0,0,3,11,12,15,13,3,0,0,0,0,0,14,4,0,0,0,0,0,2,16,2,0,0,4\n0,0,2,15,14,4,0,0,0,0,8,16,16,11,0,0,0,0,7,16,16,10,0,0,0,0,7,16,16,9,0,0,0,0,10,16,16,6,0,0,0,0,10,16,16,8,0,0,0,0,13,16,16,13,0,0,0,0,2,11,15,7,0,0,1\n0,0,6,11,12,3,0,0,0,0,9,16,16,13,0,0,0,0,5,16,16,9,0,0,0,0,5,16,16,7,0,0,0,0,7,16,16,6,0,0,0,0,8,16,16,6,0,0,0,0,9,16,16,6,0,0,0,0,5,12,11,3,0,0,1\n0,0,0,11,12,2,0,0,0,0,6,16,16,10,0,0,0,0,12,14,6,16,1,0,0,2,16,12,0,14,4,0,0,3,16,9,0,14,6,0,0,0,16,8,1,16,5,0,0,0,9,14,12,16,2,0,0,0,1,11,16,6,0,0,0\n0,0,5,15,13,2,0,0,0,0,14,13,9,13,0,0,0,0,10,0,0,10,2,0,0,0,0,0,0,11,3,0,0,0,0,0,2,15,0,0,0,0,0,1,12,9,0,0,0,0,10,12,16,14,2,0,0,0,5,14,12,11,4,0,2\n0,0,13,13,13,8,0,0,0,0,7,8,16,5,0,0,0,0,0,2,16,1,0,0,0,1,3,9,14,5,8,0,0,10,16,16,16,15,6,0,0,3,11,15,3,0,0,0,0,0,10,9,0,0,0,0,0,0,13,4,0,0,0,0,7\n0,0,12,16,16,6,0,0,0,9,16,9,12,15,0,0,0,8,10,0,3,16,4,0,0,0,0,0,6,16,0,0,0,0,0,1,14,11,0,0,0,0,1,10,14,3,0,0,0,2,16,16,9,4,4,0,0,1,10,16,16,16,16,2,2\n0,0,2,13,15,2,0,0,0,0,11,16,13,10,0,0,0,0,14,9,8,12,0,0,0,0,8,14,16,10,0,0,0,0,5,16,13,1,0,0,0,0,9,15,14,2,0,0,0,0,7,14,14,6,0,0,0,0,1,13,16,2,0,0,8\n0,1,13,16,16,6,0,0,0,10,16,11,11,13,0,0,0,5,12,0,4,16,2,0,0,0,0,0,6,16,1,0,0,0,0,0,9,14,0,0,0,0,0,4,16,5,0,0,0,0,6,16,15,9,8,3,0,0,12,16,16,14,13,6,2\n0,0,0,8,11,0,0,0,0,0,7,16,11,9,0,0,0,0,14,15,4,10,2,0,0,1,16,5,0,6,6,0,0,3,12,0,3,8,9,0,0,3,13,0,0,13,8,0,0,0,11,5,6,15,3,0,0,0,1,11,13,9,0,0,0\n0,0,9,14,16,9,1,0,0,4,15,7,2,14,4,0,0,0,1,1,8,14,0,0,0,0,0,2,16,6,0,0,0,0,0,0,2,14,0,0,0,0,0,0,0,6,10,0,0,3,9,4,4,10,10,0,0,1,10,13,12,9,0,0,3\n0,0,10,16,16,12,0,0,0,0,6,16,9,7,0,0,0,0,7,16,4,0,0,0,0,0,11,16,16,10,1,0,0,0,3,8,6,13,11,0,0,0,0,0,0,7,16,0,0,0,0,0,3,15,15,0,0,0,10,16,16,13,2,0,5\n0,0,12,12,14,13,1,0,0,2,16,16,11,10,1,0,0,6,16,5,0,0,0,0,0,8,16,15,8,0,0,0,0,3,14,9,16,3,0,0,0,0,0,0,14,8,0,0,0,1,7,4,14,11,0,0,0,0,13,16,16,8,0,0,5\n0,1,10,16,16,14,0,0,0,10,16,10,6,4,0,0,0,7,14,3,0,0,0,0,0,9,16,16,11,1,0,0,0,5,11,4,13,5,0,0,0,0,0,0,9,8,0,0,0,0,1,3,15,4,0,0,0,0,14,14,10,0,0,0,5\n0,1,13,16,16,4,0,0,0,2,15,9,12,12,0,0,0,0,0,5,15,9,0,0,0,0,0,16,16,14,3,0,0,0,0,4,4,11,12,0,0,3,6,0,0,5,16,0,0,7,14,4,8,15,10,0,0,0,13,16,16,11,1,0,3\n0,0,0,6,13,0,0,0,0,0,1,13,9,0,0,0,0,0,4,16,4,0,0,0,0,0,8,14,0,0,0,0,0,0,13,15,12,8,0,0,0,0,12,14,5,10,12,0,0,0,8,13,4,4,15,2,0,0,0,5,12,14,7,0,6\n0,0,7,13,14,4,0,0,0,8,15,7,8,16,0,0,0,12,12,0,2,16,4,0,0,3,13,16,16,16,2,0,0,0,0,0,0,11,9,0,0,0,0,0,0,6,12,0,0,0,5,0,0,10,12,0,0,0,8,12,14,10,2,0,9\n0,0,3,15,15,3,0,0,0,0,11,14,7,13,0,0,0,0,11,11,12,16,0,0,0,0,3,16,16,16,0,0,0,0,6,16,14,1,0,0,0,0,16,10,15,1,0,0,0,0,14,6,14,3,0,0,0,0,4,15,16,4,0,0,8\n0,0,0,10,15,0,0,0,0,0,8,15,5,7,11,0,0,2,16,6,0,13,11,0,0,10,16,3,6,16,3,0,0,4,16,16,16,16,8,0,0,0,4,12,16,3,0,0,0,0,0,10,15,0,0,0,0,0,0,12,10,0,0,0,4\n0,0,3,16,10,0,0,0,0,1,10,16,16,1,0,0,0,10,16,16,15,0,0,0,0,3,11,16,16,0,0,0,0,0,0,14,16,3,0,0,0,0,0,14,16,3,0,0,0,0,1,16,16,5,0,0,0,0,1,14,13,0,0,0,1\n0,0,5,14,14,6,0,0,0,0,11,5,2,12,0,0,0,0,11,1,8,11,0,0,0,0,7,13,16,6,0,0,0,0,3,16,8,0,0,0,0,0,11,10,12,1,0,0,0,0,14,2,4,12,0,0,0,0,5,15,16,12,0,0,8\n0,0,1,15,13,1,0,0,0,0,8,16,16,8,0,0,3,13,16,16,16,6,0,0,0,9,8,9,16,6,0,0,0,0,0,10,16,1,0,0,0,0,0,12,16,0,0,0,0,0,0,16,14,1,0,0,0,0,0,12,16,1,0,0,1\n0,0,6,16,16,8,0,0,0,1,16,11,8,15,0,0,0,0,15,10,14,14,0,0,0,0,8,16,16,3,0,0,0,0,10,16,10,0,0,0,0,3,16,7,15,2,0,0,0,1,16,6,12,7,0,0,0,0,5,16,15,5,0,0,8\n0,0,4,13,13,2,0,0,0,2,15,7,4,7,0,0,0,6,12,0,5,9,0,0,0,3,11,3,7,14,1,0,0,0,6,15,16,14,4,0,0,0,0,0,0,4,11,0,0,0,0,0,0,4,15,0,0,0,3,13,16,16,8,0,9\n0,1,16,16,15,5,0,0,0,1,16,13,9,15,3,0,0,3,16,0,5,16,5,0,0,0,12,16,16,16,6,0,0,0,1,4,4,12,5,0,0,0,0,0,0,12,9,0,0,0,1,0,2,14,7,0,0,0,12,16,16,15,3,0,9\n0,0,1,15,13,0,0,0,0,0,3,16,16,2,0,0,0,1,12,16,12,0,0,0,0,8,16,16,8,0,0,0,0,2,12,16,6,0,0,0,0,0,7,16,7,0,0,0,0,0,4,16,8,0,0,0,0,0,1,14,9,0,0,0,1\n0,0,7,15,15,9,1,0,0,7,15,5,4,14,4,0,0,2,2,0,7,13,1,0,0,0,2,12,15,5,0,0,0,0,1,5,10,13,0,0,0,0,0,0,0,10,7,0,0,0,11,1,1,12,7,0,0,0,8,14,13,8,0,0,3\n0,2,7,12,16,15,1,0,1,15,16,13,10,6,1,0,0,5,16,6,0,0,0,0,0,6,16,16,8,0,0,0,0,5,15,5,14,7,0,0,0,0,2,0,8,14,0,0,0,0,5,2,12,13,0,0,0,0,8,16,15,4,0,0,5\n0,0,3,16,3,0,0,0,0,0,11,13,1,1,0,0,0,6,14,2,9,12,0,0,0,9,12,0,14,5,1,0,0,7,16,12,16,16,11,0,0,0,6,11,15,5,1,0,0,0,0,11,10,0,0,0,0,0,3,16,4,0,0,0,4\n0,0,0,6,16,10,0,0,0,0,3,15,15,4,0,0,0,0,5,16,8,0,0,0,0,0,10,16,4,0,0,0,0,0,10,16,8,1,0,0,0,1,15,16,16,15,2,0,0,1,13,16,15,16,7,0,0,0,0,5,15,15,5,0,6\n0,0,3,14,15,5,0,0,0,0,11,14,5,11,2,0,0,0,14,7,0,7,4,0,0,1,16,2,0,3,7,0,0,4,13,0,0,5,8,0,0,2,12,0,0,11,7,0,0,0,14,8,13,14,0,0,0,0,3,12,10,3,0,0,0\n0,0,12,16,16,10,0,0,0,0,13,13,8,16,5,0,0,0,0,0,0,16,8,0,0,0,1,8,13,15,2,0,0,0,7,16,16,15,3,0,0,0,0,3,4,11,15,0,0,1,11,0,2,13,15,0,0,1,13,16,16,14,6,0,3\n0,0,9,16,11,2,0,0,0,9,16,8,13,8,0,0,0,8,6,0,0,12,0,0,0,0,0,0,8,10,0,0,0,0,0,0,14,6,0,0,0,0,0,8,11,0,0,0,0,0,8,16,6,4,4,0,0,0,12,15,15,16,13,0,2\n0,2,15,16,16,16,11,0,0,1,8,8,9,16,9,0,0,0,0,0,8,12,0,0,0,1,4,4,15,9,0,0,0,11,16,16,16,15,2,0,0,2,5,16,5,0,0,0,0,0,11,12,0,0,0,0,0,3,16,5,0,0,0,0,7\n0,0,2,16,15,4,0,0,0,0,10,15,11,11,0,0,0,0,10,12,15,10,0,0,0,0,7,16,14,2,0,0,0,0,12,16,7,0,0,0,0,0,14,7,15,1,0,0,0,0,11,7,13,7,0,0,0,0,2,14,15,7,0,0,8\n0,0,7,16,16,12,2,0,0,0,12,16,13,14,7,0,0,2,16,11,0,0,0,0,0,5,16,16,11,0,0,0,0,11,16,11,16,3,0,0,0,1,2,0,13,8,0,0,0,0,2,4,13,8,0,0,0,0,8,16,16,4,0,0,5\n0,0,8,14,12,8,6,0,0,0,12,11,6,8,8,0,0,0,14,5,4,1,0,0,0,4,16,14,12,14,1,0,0,5,7,0,0,9,7,0,0,0,0,0,0,10,4,0,0,0,5,2,4,13,1,0,0,0,8,16,14,1,0,0,5\n0,0,0,0,14,4,0,0,0,0,0,5,15,1,0,0,0,0,0,14,8,0,2,0,0,0,8,14,2,7,13,0,0,3,15,5,0,13,7,0,0,12,15,8,10,16,2,0,1,9,12,12,15,15,1,0,0,0,0,0,15,4,0,0,4\n0,0,1,12,6,0,0,0,0,0,10,13,1,0,0,0,0,0,16,1,0,0,0,0,0,2,12,0,0,0,0,0,0,4,15,14,16,15,4,0,0,3,16,4,0,2,13,0,0,0,11,7,0,4,15,0,0,0,0,10,16,14,5,0,6\n0,3,13,16,14,2,0,0,0,14,11,3,16,8,0,0,0,7,3,7,16,8,0,0,0,0,5,16,16,16,5,0,0,0,2,10,6,11,12,0,0,0,0,0,0,11,13,0,0,1,10,1,4,15,9,0,0,2,15,16,16,11,0,0,3\n0,0,10,13,9,0,0,0,0,5,11,1,11,5,0,0,0,6,7,0,6,14,0,0,0,2,14,8,9,16,1,0,0,0,2,8,5,13,4,0,0,0,0,0,0,7,9,0,0,0,3,2,0,5,11,0,0,0,8,15,13,14,3,0,9\n0,3,16,15,3,0,0,0,0,8,14,12,11,0,0,0,0,3,11,2,16,3,0,0,0,0,0,2,16,2,0,0,0,0,0,5,16,0,0,0,0,0,0,10,12,0,0,0,0,0,11,16,13,13,10,1,0,2,14,16,15,12,12,1,2\n0,0,12,16,16,16,14,0,0,0,5,8,8,15,10,0,0,0,0,0,5,15,1,0,0,0,2,8,14,16,9,0,0,0,13,16,15,12,7,0,0,0,1,14,6,0,0,0,0,0,4,14,0,0,0,0,0,0,12,9,0,0,0,0,7\n0,0,12,12,12,5,0,0,0,0,4,16,16,8,0,0,0,0,2,16,16,9,0,0,0,0,4,16,16,9,0,0,0,0,4,16,16,4,0,0,0,0,5,16,16,3,0,0,0,0,9,16,16,0,0,0,0,0,11,12,12,4,0,0,1\n0,3,15,15,3,0,0,0,0,8,15,14,14,0,0,0,0,4,9,2,16,5,0,0,0,0,0,2,16,5,0,0,0,0,0,7,15,1,0,0,0,0,0,14,9,0,0,0,0,1,11,16,10,8,4,0,0,5,16,16,16,16,11,0,2\n0,0,10,13,16,10,0,0,0,0,15,9,2,2,0,0,0,4,16,16,14,4,0,0,0,0,3,1,4,16,3,0,0,0,0,0,0,12,7,0,0,0,0,0,0,12,7,0,0,5,8,0,4,15,1,0,0,1,11,14,15,2,0,0,5\n0,0,1,14,2,0,0,0,0,0,5,14,0,0,0,0,0,0,8,10,0,0,0,0,0,0,12,6,0,0,0,0,0,0,16,9,12,9,2,0,0,0,16,13,8,10,13,0,0,0,11,12,0,4,15,0,0,0,0,13,16,16,9,0,6\n0,0,10,14,15,12,5,0,0,0,14,4,2,2,0,0,0,3,14,10,10,5,0,0,0,6,15,10,6,15,2,0,0,1,0,0,0,8,8,0,0,0,0,0,0,6,8,0,0,0,11,2,3,12,3,0,0,0,10,16,15,5,0,0,5\n0,0,6,12,16,10,0,0,0,0,0,12,16,16,1,0,0,0,0,9,16,16,4,0,0,0,0,13,16,16,3,0,0,0,0,14,16,14,0,0,0,0,0,14,16,10,0,0,0,0,2,16,16,13,0,0,0,0,7,16,15,2,0,0,1\n0,0,4,15,16,16,16,14,0,0,6,12,12,13,16,8,0,0,0,0,0,8,14,1,0,0,0,6,8,16,4,0,0,0,2,16,16,13,2,0,0,0,0,7,14,1,0,0,0,0,2,14,6,0,0,0,0,0,8,13,1,0,0,0,7\n0,0,13,16,16,6,0,0,0,6,16,6,10,16,0,0,0,1,7,5,14,8,0,0,0,0,1,15,16,13,1,0,0,0,0,3,4,13,10,0,0,0,0,0,0,9,11,0,0,2,14,5,6,16,4,0,0,1,15,16,16,10,0,0,3\n0,0,3,14,4,0,0,0,0,0,12,15,12,4,0,0,0,3,15,5,2,12,0,0,0,5,9,0,0,8,5,0,0,8,8,0,0,4,8,0,0,4,12,0,0,2,12,0,0,0,14,5,0,9,8,0,0,0,3,15,16,13,1,0,0\n0,0,13,16,16,10,0,0,0,1,11,6,9,16,6,0,0,0,0,5,10,16,5,0,0,0,2,15,16,15,0,0,0,0,0,0,5,15,7,0,0,0,0,0,0,13,8,0,0,1,13,10,6,14,7,0,0,1,11,16,16,12,0,0,3\n0,0,0,14,4,0,0,0,0,0,7,15,1,0,0,0,0,0,11,11,0,0,0,0,0,0,13,6,0,0,0,0,0,0,16,8,8,5,0,0,0,0,15,15,9,11,12,0,0,0,9,15,0,0,15,4,0,0,1,11,13,12,12,1,6\n0,0,3,12,7,2,0,0,0,0,9,16,16,8,0,0,0,0,7,16,16,10,0,0,0,0,6,16,16,12,0,0,0,0,6,16,16,11,0,0,0,0,4,16,16,10,0,0,0,0,8,16,16,12,0,0,0,0,3,11,12,6,0,0,1\n0,0,13,16,5,0,0,0,0,0,16,12,15,0,0,0,0,0,3,3,12,4,0,0,0,0,0,0,12,6,0,0,0,0,0,0,14,7,0,0,0,0,0,2,16,5,0,0,0,0,5,14,16,9,4,0,0,0,15,16,13,12,16,2,2\n0,5,16,16,15,2,0,0,0,11,13,8,11,15,0,0,0,1,1,0,7,16,0,0,0,0,0,11,16,14,1,0,0,0,0,12,12,15,11,0,0,0,0,0,0,8,12,0,0,5,11,4,3,12,11,0,0,4,14,16,16,16,4,0,3\n0,0,8,16,13,13,16,8,0,0,7,12,12,10,16,4,0,0,0,0,0,11,8,0,0,0,0,2,6,15,1,0,0,0,9,16,16,16,6,0,0,0,5,14,13,2,0,0,0,0,4,16,5,0,0,0,0,0,12,11,0,0,0,0,7\n0,0,0,1,14,10,0,0,0,0,0,9,15,2,0,0,0,0,1,14,5,0,2,0,0,0,11,9,0,8,14,0,0,7,14,0,0,14,10,0,4,16,15,11,9,16,4,0,1,12,14,16,16,12,0,0,0,0,0,0,14,6,0,0,4\n0,0,7,16,15,2,0,0,0,7,15,7,12,10,0,0,0,8,6,0,10,12,0,0,0,0,0,6,16,12,1,0,0,0,0,5,12,15,10,0,0,0,0,0,0,8,12,0,0,0,6,9,4,13,10,0,0,0,5,16,16,13,1,0,3\n0,0,10,14,15,10,2,0,0,2,15,5,4,16,8,0,0,0,13,0,8,13,1,0,0,3,15,12,14,2,0,0,0,1,12,14,13,1,0,0,0,6,11,0,9,12,0,0,0,7,11,0,1,16,3,0,0,1,10,13,14,12,0,0,8\n0,0,13,16,15,2,0,0,0,5,16,7,11,13,0,0,0,8,16,2,1,14,6,0,0,8,15,0,0,8,11,0,0,10,12,0,0,4,12,0,0,11,12,0,0,7,12,0,0,7,15,4,5,15,8,0,0,0,13,16,16,10,0,0,0\n0,0,4,13,14,3,0,0,0,0,14,7,4,14,0,0,0,3,10,0,0,8,3,0,0,8,4,0,0,4,8,0,0,5,12,0,0,2,8,0,0,0,15,1,0,4,7,0,0,0,10,8,1,12,6,0,0,0,2,12,16,15,0,0,0\n0,0,5,11,16,12,2,0,0,0,15,7,4,13,4,0,0,1,14,1,4,16,2,0,0,1,7,8,14,5,0,0,0,5,16,16,7,0,0,0,0,0,14,6,14,6,0,0,0,0,11,6,5,16,0,0,0,0,5,15,14,8,0,0,8\n0,0,0,0,11,12,0,0,0,0,0,2,15,8,0,0,0,0,0,9,15,3,0,0,0,0,5,15,4,15,5,0,0,0,13,10,0,16,4,0,0,10,15,4,10,16,3,0,0,15,16,16,16,15,3,0,0,0,1,0,11,12,0,0,4\n0,0,1,13,3,0,0,0,0,0,11,13,0,0,0,0,0,0,14,5,0,0,0,0,0,0,16,0,0,0,0,0,0,2,16,16,16,15,4,0,0,1,16,10,4,8,13,0,0,0,10,13,1,5,14,0,0,0,0,13,16,16,8,0,6\n0,0,5,13,12,9,0,0,0,2,14,4,1,16,4,0,0,7,10,0,3,16,1,0,0,5,14,8,15,6,0,0,0,0,6,16,13,0,0,0,0,0,11,8,13,5,0,0,0,0,13,1,1,15,0,0,0,0,6,14,14,10,0,0,8\n0,0,3,11,13,14,16,8,0,0,11,14,12,12,16,3,0,0,0,0,1,15,8,0,0,0,0,2,9,15,1,0,0,0,2,15,16,16,8,0,0,0,1,12,14,0,0,0,0,0,0,12,9,0,0,0,0,0,4,15,2,0,0,0,7\n0,0,7,15,6,0,0,0,0,0,14,14,13,0,0,0,0,0,3,4,13,0,0,0,0,0,0,8,9,0,0,0,0,0,0,12,5,0,0,0,0,0,3,16,1,0,0,0,0,0,11,14,10,12,11,2,0,0,7,15,11,8,9,3,2\n0,0,8,15,16,12,0,0,0,12,16,14,12,6,0,0,0,10,16,5,0,0,0,0,0,6,16,5,0,0,0,0,0,0,8,16,8,0,0,0,0,0,0,6,16,10,0,0,0,0,6,8,15,12,0,0,0,0,7,14,8,0,0,0,5\n0,0,9,12,10,5,0,0,0,5,16,16,16,13,0,0,0,1,16,16,16,16,0,0,0,0,8,16,16,16,3,0,0,0,4,16,16,16,4,0,0,0,2,16,16,16,1,0,0,0,9,16,16,16,1,0,0,0,5,12,12,5,0,0,1\n0,0,6,13,16,15,2,0,0,0,14,14,12,16,9,0,0,0,3,1,7,16,10,0,0,0,1,15,16,16,13,0,0,0,1,7,15,14,1,0,0,0,0,4,16,10,0,0,0,0,0,12,13,1,0,0,0,0,7,16,3,0,0,0,7\n0,0,7,14,3,0,0,0,0,3,16,16,12,0,0,0,0,10,15,10,16,16,2,0,0,8,16,16,16,10,2,0,0,4,16,15,2,0,0,0,0,4,16,16,4,0,0,0,0,3,16,16,15,0,0,0,0,0,9,16,15,0,0,0,8\n0,0,0,0,11,12,0,0,0,0,0,8,16,4,0,0,0,0,2,16,12,1,0,0,0,4,15,16,13,14,11,0,0,13,16,16,16,16,10,0,0,0,0,0,10,16,6,0,0,0,0,0,11,16,2,0,0,0,0,0,14,13,0,0,4\n0,0,2,9,15,11,0,0,0,3,15,16,16,16,0,0,0,3,13,3,9,16,2,0,0,0,0,6,14,16,13,0,0,0,5,16,16,13,2,0,0,0,5,11,16,4,0,0,0,0,0,11,15,0,0,0,0,0,0,16,7,0,0,0,7\n0,0,2,10,13,4,0,0,0,0,11,16,15,5,0,0,0,5,16,11,2,0,0,0,0,10,15,2,0,0,0,0,0,3,13,15,5,0,0,0,0,0,0,8,16,6,0,0,0,0,2,10,16,7,0,0,0,0,3,15,10,0,0,0,5\n0,0,3,15,15,1,0,0,0,0,9,16,12,2,0,0,0,4,16,9,6,9,2,0,0,8,16,16,16,10,3,0,0,2,16,16,14,1,0,0,0,4,16,16,16,4,0,0,0,1,14,16,16,12,0,0,0,0,3,14,12,5,0,0,8\n0,0,7,11,0,0,0,0,0,0,14,13,0,0,0,0,0,3,16,10,3,0,0,0,0,3,16,16,16,11,0,0,0,6,16,16,16,16,1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0,0,0,7,12,14,5,0,0,0,11,10,4,10,16,0,0,1,16,12,11,16,14,0,0,1,10,12,12,16,10,0,0,0,0,0,1,15,3,0,0,0,0,0,11,9,0,0,0,0,0,6,13,0,0,0,0,0,0,11,9,0,0,0,9\n0,2,15,12,0,0,0,0,0,5,16,16,4,0,0,0,0,8,14,13,8,0,0,0,0,1,8,6,12,0,0,0,0,0,0,9,12,0,0,0,0,0,4,14,13,4,3,0,0,7,16,16,16,16,15,0,0,3,11,15,11,8,2,0,2\n0,0,0,8,12,11,3,0,0,0,6,15,6,8,12,0,0,2,15,10,0,3,11,0,0,4,16,14,12,14,4,0,0,0,8,16,16,14,0,0,0,0,0,0,5,16,2,0,0,0,0,4,11,15,0,0,0,0,0,13,12,6,0,0,9\n0,0,3,16,15,3,0,0,0,0,6,16,15,3,0,0,0,0,10,16,6,2,0,0,0,0,4,14,16,3,0,0,0,4,13,2,12,6,0,0,0,5,11,0,1,12,3,0,0,0,13,3,0,7,11,0,0,0,3,11,11,14,10,0,8\n0,0,10,10,12,15,12,0,0,0,8,16,13,16,8,0,0,0,0,0,11,14,0,0,0,0,9,12,16,14,7,0,0,1,16,16,15,11,5,0,0,0,7,16,6,0,0,0,0,0,7,16,1,0,0,0,0,0,10,11,0,0,0,0,7\n0,0,5,12,14,0,0,0,0,2,14,10,15,0,0,0,0,3,15,11,11,0,0,0,0,2,12,15,11,2,0,0,0,0,0,0,8,15,1,0,0,0,0,0,1,14,4,0,0,0,2,7,4,14,3,0,0,0,3,13,14,10,0,0,3\n0,0,1,11,14,4,0,0,0,1,7,14,14,15,1,0,0,6,13,0,0,11,5,0,0,8,9,0,0,4,8,0,0,5,12,0,0,4,8,0,0,1,15,2,0,10,8,0,0,0,9,16,16,16,2,0,0,0,1,12,14,9,0,0,0\n0,0,6,13,12,11,2,0,0,0,16,13,5,13,13,0,0,0,15,11,5,15,8,0,0,0,11,16,16,9,0,0,0,1,10,16,15,0,0,0,0,4,16,12,16,6,0,0,0,1,15,16,16,12,0,0,0,0,3,13,16,11,0,0,8\n0,0,0,10,16,5,0,0,0,0,9,16,14,2,0,0,0,1,16,13,0,0,0,0,0,4,16,11,4,0,0,0,0,7,16,16,16,15,2,0,0,1,15,10,4,13,13,0,0,0,7,16,15,16,15,0,0,0,0,7,16,16,7,0,6\n0,0,7,15,10,0,0,0,0,2,16,9,14,3,0,0,0,5,9,0,8,4,0,0,0,2,10,0,13,1,0,0,0,0,0,9,12,0,0,0,0,0,4,15,1,0,0,0,0,0,16,7,4,4,2,0,0,0,9,16,14,12,6,0,2\n0,0,0,6,10,1,15,6,0,0,5,16,4,8,15,1,0,1,15,8,2,15,8,0,0,4,16,14,13,15,0,0,0,1,15,16,16,13,0,0,0,0,3,10,15,0,0,0,0,0,0,11,14,1,0,0,0,0,0,10,15,0,0,0,4\n0,0,0,11,7,5,8,0,0,0,5,16,1,15,8,0,0,1,14,9,5,16,2,0,0,6,14,1,12,11,2,0,0,12,14,8,16,16,10,0,0,9,16,16,15,5,0,0,0,0,1,10,12,0,0,0,0,0,0,11,9,0,0,0,4\n0,0,13,13,1,0,0,0,0,2,16,16,9,0,0,0,0,9,16,12,12,0,0,0,0,12,10,8,13,0,0,0,0,5,7,10,14,0,0,0,0,0,2,15,12,0,0,0,0,1,15,16,16,14,6,0,0,0,11,16,16,14,6,0,2\n0,0,0,7,5,0,1,0,0,0,5,13,1,0,14,4,0,1,16,3,0,9,7,0,0,3,16,7,4,16,3,0,0,2,15,16,16,14,4,0,0,0,0,0,14,6,0,0,0,0,0,3,16,1,0,0,0,0,0,8,7,0,0,0,4\n0,0,0,1,11,10,0,0,0,0,0,8,16,13,0,0,0,0,7,16,16,7,0,0,0,5,16,16,16,0,0,0,0,4,10,16,16,0,0,0,0,0,0,15,16,0,0,0,0,0,0,11,16,4,0,0,0,0,0,0,11,13,1,0,1\n0,0,2,10,13,5,0,0,0,0,13,15,11,1,0,0,0,0,14,4,0,0,0,0,0,6,14,0,0,0,0,0,0,6,16,16,16,16,2,0,0,1,4,4,1,15,2,0,0,0,0,7,10,16,0,0,0,0,1,16,15,7,0,0,5\n0,0,0,0,6,11,0,0,0,0,0,4,16,12,0,0,0,0,1,12,16,11,0,0,0,1,12,13,16,7,0,0,0,9,16,13,16,3,0,0,0,2,3,6,16,3,0,0,0,0,0,6,16,3,0,0,0,0,0,0,9,8,0,0,1\n0,0,7,16,16,10,0,0,0,1,16,16,16,16,4,0,0,4,10,5,3,11,10,0,0,5,12,4,0,6,8,0,0,0,12,2,0,5,8,0,0,0,15,5,5,14,3,0,0,0,11,16,16,12,0,0,0,0,7,16,12,4,0,0,0\n0,0,1,9,16,15,4,0,0,0,4,16,10,14,10,0,0,0,3,16,7,14,11,0,0,0,9,16,16,13,0,0,0,5,16,16,16,2,0,0,0,6,14,9,16,2,0,0,0,0,12,16,16,4,0,0,0,0,0,12,11,3,0,0,8\n0,0,0,6,15,15,4,0,0,0,12,15,8,12,7,0,0,0,14,13,12,16,3,0,0,0,11,16,16,16,4,0,0,0,1,4,4,16,5,0,0,0,0,0,2,16,2,0,0,0,0,3,12,11,0,0,0,0,0,10,13,2,0,0,9\n0,0,8,16,16,14,0,0,0,1,16,12,8,5,0,0,0,3,16,6,0,0,0,0,0,10,16,8,2,0,0,0,0,3,12,14,15,7,0,0,0,0,0,0,8,16,3,0,0,0,11,5,6,16,5,0,0,0,10,16,16,12,0,0,5\n0,0,10,15,14,16,12,0,0,0,5,12,11,13,11,0,0,0,0,0,2,16,3,0,0,0,9,12,14,16,10,0,0,0,12,15,15,9,2,0,0,0,0,14,7,0,0,0,0,0,7,14,1,0,0,0,0,0,13,6,0,0,0,0,7\n0,0,6,11,16,11,1,0,0,4,14,4,9,16,0,0,0,0,15,2,11,15,2,0,0,0,8,15,9,12,5,0,0,0,0,0,0,8,8,0,0,0,0,0,0,8,5,0,0,5,13,2,0,14,2,0,0,0,8,16,16,8,0,0,9\n0,0,0,9,15,4,0,0,0,0,4,15,8,1,0,0,0,0,12,11,0,0,0,0,0,0,15,5,0,0,0,0,0,2,16,15,16,12,3,0,0,0,16,13,5,8,13,0,0,0,7,13,4,6,15,0,0,0,0,8,15,16,11,0,6\n0,4,16,16,9,1,0,0,0,2,11,9,15,7,0,0,0,0,0,0,14,6,0,0,0,0,0,5,16,2,0,0,0,0,1,14,12,0,0,0,0,3,15,13,1,0,0,0,0,11,16,13,8,6,3,0,0,4,14,16,16,16,11,0,2\n0,0,2,13,12,4,0,0,0,1,15,12,3,13,2,0,0,8,13,8,0,6,4,0,0,8,4,3,0,3,8,0,0,5,5,0,0,6,6,0,0,1,14,1,0,8,3,0,0,0,8,8,5,13,1,0,0,0,0,11,15,6,0,0,0\n0,0,3,14,9,2,0,0,0,3,16,12,7,13,0,0,0,3,14,1,8,14,0,0,0,0,6,14,16,2,0,0,0,0,2,16,15,9,0,0,0,0,12,10,1,10,9,0,0,0,11,7,0,7,13,0,0,0,1,11,16,15,4,0,8\n0,0,0,2,15,9,0,0,0,0,0,7,16,15,0,0,0,0,5,15,16,10,0,0,0,3,16,16,16,6,0,0,0,3,12,14,16,5,0,0,0,0,0,8,16,8,0,0,0,0,0,5,16,15,2,0,0,0,0,2,13,15,4,0,1\n0,0,0,9,12,1,0,0,0,0,10,15,12,15,2,0,0,2,16,4,0,11,6,0,0,5,13,0,0,8,8,0,0,8,12,0,0,7,7,0,0,6,14,0,0,13,4,0,0,0,15,10,7,15,1,0,0,0,2,11,13,3,0,0,0\n0,0,0,15,12,5,0,0,0,0,4,16,16,8,0,0,0,0,9,16,15,3,0,0,0,1,16,16,9,0,0,0,0,6,16,16,9,0,0,0,0,0,11,16,11,0,0,0,0,0,4,16,14,1,0,0,0,0,0,13,16,0,0,0,1\n0,1,13,16,15,5,0,0,0,6,15,12,15,11,0,0,0,0,2,0,9,12,0,0,0,0,0,1,16,4,0,0,0,0,1,12,14,0,0,0,0,5,15,14,2,0,0,0,0,9,16,12,7,2,3,0,0,1,15,16,16,16,6,0,2\n0,0,8,14,16,12,1,0,0,2,11,6,5,15,4,0,0,0,0,1,9,14,0,0,0,0,0,11,11,0,0,0,0,0,0,2,15,7,0,0,0,0,0,0,4,16,3,0,0,0,9,5,4,15,3,0,0,0,9,15,13,5,0,0,3\n0,0,3,16,13,2,0,0,0,0,11,7,7,12,0,0,0,2,16,1,0,9,3,0,0,5,13,1,0,6,6,0,0,7,6,0,0,5,8,0,0,4,8,0,0,10,5,0,0,1,13,5,8,15,1,0,0,0,4,15,15,4,0,0,0\n0,0,12,16,16,16,10,0,0,0,4,8,11,16,13,0,0,0,2,0,4,16,5,0,0,6,15,12,15,16,11,0,0,1,11,16,15,11,3,0,0,0,1,13,8,0,0,0,0,0,8,16,1,0,0,0,0,0,10,10,0,0,0,0,7\n0,0,0,12,15,2,0,0,0,0,7,16,7,1,0,0,0,0,15,10,0,0,0,0,0,1,16,9,1,0,0,0,0,3,16,16,15,5,0,0,0,1,15,11,4,12,9,0,0,0,10,12,3,11,14,0,0,0,1,9,16,16,6,0,6\n0,0,6,12,12,12,4,0,0,3,16,8,6,16,7,0,0,4,13,0,5,16,4,0,0,1,13,13,15,16,4,0,0,0,1,8,4,12,4,0,0,0,2,0,0,12,7,0,0,6,15,4,0,13,4,0,0,0,8,15,16,16,2,0,9\n0,0,7,14,14,13,3,0,0,0,14,7,4,9,6,0,0,4,13,0,0,0,0,0,0,6,16,14,8,1,0,0,0,0,0,3,9,13,0,0,0,0,0,0,0,13,0,0,0,0,9,0,3,14,0,0,0,0,11,16,14,3,0,0,5\n0,0,0,0,14,10,0,0,0,0,1,11,16,12,0,0,0,2,12,16,16,12,0,0,0,4,11,5,15,11,0,0,0,0,0,1,16,7,0,0,0,0,0,3,16,7,0,0,0,0,0,1,16,11,0,0,0,0,0,0,11,9,0,0,1\n0,0,0,9,12,0,0,0,0,0,1,15,5,1,5,0,0,1,12,10,0,13,9,0,0,7,16,9,10,16,7,0,0,4,16,16,16,16,10,0,0,0,0,0,14,11,1,0,0,0,0,5,16,1,0,0,0,0,0,12,6,0,0,0,4\n0,0,0,14,15,3,0,0,0,0,7,16,9,2,0,0,0,0,14,12,0,0,0,0,0,2,16,7,0,0,0,0,0,7,16,16,12,2,0,0,0,1,15,8,9,15,1,0,0,0,9,12,7,16,3,0,0,0,0,12,16,14,1,0,6\n0,0,0,4,12,13,2,0,0,0,2,13,16,15,0,0,0,4,16,16,16,9,0,0,0,3,10,15,16,6,0,0,0,0,0,13,16,0,0,0,0,0,0,14,16,1,0,0,0,0,0,9,16,10,0,0,0,0,0,2,15,13,1,0,1\n0,0,0,8,13,6,0,0,0,0,5,14,6,14,2,0,0,0,8,8,1,14,4,0,0,0,2,13,11,16,5,0,0,0,0,3,7,9,4,0,0,1,2,0,0,8,8,0,0,1,13,3,0,14,5,0,0,0,0,11,16,13,1,0,9\n0,0,8,15,12,6,0,0,0,1,16,6,5,13,2,0,0,0,16,4,6,15,3,0,0,0,9,16,16,8,0,0,0,0,7,15,14,10,0,0,0,0,13,12,0,13,7,0,0,3,16,5,4,15,8,0,0,0,9,14,16,12,1,0,8\n0,0,1,9,16,16,12,1,0,0,10,13,8,12,16,3,0,0,2,0,1,13,10,0,0,0,0,9,16,11,0,0,0,0,0,14,16,15,0,0,0,0,0,7,10,16,2,0,0,0,2,16,14,13,0,0,0,0,0,14,14,2,0,0,3\n0,0,8,15,15,12,4,0,0,0,15,4,3,10,16,0,0,0,8,14,12,16,12,0,0,0,0,2,4,9,8,0,0,0,0,0,0,9,7,0,0,1,1,0,0,12,4,0,0,7,11,1,4,12,1,0,0,0,10,16,13,3,0,0,9\n0,0,4,16,13,12,11,0,0,0,7,13,4,7,11,0,0,0,12,1,0,0,0,0,0,5,15,12,8,1,0,0,0,2,8,8,12,12,0,0,0,0,0,0,1,13,0,0,0,0,7,7,7,11,0,0,0,0,4,15,14,2,0,0,5\n0,0,0,6,14,2,0,0,0,0,4,16,9,3,0,0,0,0,13,8,0,0,0,0,0,0,15,10,2,0,0,0,0,4,16,11,13,9,0,0,0,0,10,8,0,9,8,0,0,0,2,13,3,10,8,0,0,0,0,4,14,16,2,0,6\n0,0,1,11,14,10,1,0,0,1,13,10,8,12,8,0,0,6,11,0,1,13,4,0,0,2,15,12,15,6,0,0,0,0,13,16,15,2,0,0,0,1,14,0,7,12,0,0,0,0,9,9,4,16,0,0,0,0,1,9,15,10,0,0,8\n0,1,9,12,14,10,1,0,0,7,15,7,6,15,8,0,0,1,1,0,3,16,5,0,0,0,2,11,16,9,0,0,0,0,2,14,16,8,0,0,0,0,0,1,7,15,7,0,0,0,12,6,6,15,7,0,0,0,8,15,14,9,0,0,3\n0,0,2,14,10,0,0,0,0,0,9,10,10,6,0,0,0,0,16,2,0,12,2,0,0,4,12,0,0,8,5,0,0,5,8,0,0,9,8,0,0,3,12,0,0,14,3,0,0,0,11,6,7,13,0,0,0,0,3,16,15,3,0,0,0\n0,0,0,6,13,6,0,0,0,0,0,12,16,13,0,0,0,0,10,16,16,10,0,0,0,5,16,16,16,7,0,0,0,2,5,13,16,4,0,0,0,0,0,9,16,4,0,0,0,0,0,12,16,1,0,0,0,0,0,8,14,2,0,0,1\n0,0,0,0,5,16,8,0,0,0,0,0,13,16,12,0,0,0,0,9,16,16,9,0,0,0,10,16,14,16,8,0,0,4,15,11,8,16,5,0,0,0,7,1,9,16,3,0,0,0,0,0,12,16,0,0,0,0,0,0,8,15,2,0,1\n0,0,8,12,12,6,0,0,0,0,15,16,16,16,0,0,0,0,8,16,16,16,0,0,0,0,6,16,16,16,4,0,0,0,5,16,16,16,4,0,0,0,4,16,16,16,7,0,0,0,15,16,16,16,8,0,0,0,4,9,11,8,4,0,1\n0,0,3,12,14,2,0,0,0,0,12,11,13,11,0,0,0,7,16,1,4,16,2,0,0,6,16,7,14,16,1,0,0,0,13,16,15,3,0,0,0,0,11,16,16,10,0,0,0,0,14,16,10,16,8,0,0,0,2,11,16,16,12,0,8\n0,0,7,16,11,1,0,0,0,2,15,12,15,12,0,0,0,6,16,6,6,16,3,0,0,8,16,4,1,16,7,0,0,4,16,4,0,13,8,0,0,4,16,4,2,16,5,0,0,2,15,11,14,11,0,0,0,0,6,15,11,1,0,0,0\n0,0,5,16,16,13,5,0,0,0,4,8,8,14,15,0,0,0,0,0,1,16,7,0,0,0,0,0,7,15,0,0,0,2,15,16,16,16,4,0,0,1,4,12,12,0,0,0,0,0,0,15,5,0,0,0,0,0,5,15,0,0,0,0,7\n0,1,15,6,0,0,0,0,0,7,15,16,3,0,0,0,0,11,5,12,4,0,0,0,0,2,3,10,7,0,0,0,0,0,1,16,2,0,0,0,0,0,6,14,0,0,0,0,0,0,14,16,16,15,6,0,0,0,8,8,8,10,13,0,2\n0,0,3,11,12,13,14,3,0,0,8,14,9,12,16,2,0,0,1,0,0,13,11,0,0,0,1,12,13,16,7,0,0,0,1,8,16,11,2,0,0,0,0,6,16,2,0,0,0,0,0,14,11,0,0,0,0,0,2,13,4,0,0,0,7\n0,0,0,5,15,7,0,0,0,0,6,15,10,16,2,0,0,4,16,5,0,10,8,0,0,1,15,4,0,8,8,0,0,0,14,4,0,8,8,0,0,0,12,7,0,14,6,0,0,0,7,16,13,15,1,0,0,0,0,6,13,5,0,0,0\n0,0,1,13,9,0,0,0,0,0,7,16,10,0,0,0,0,0,14,15,1,0,0,0,0,1,16,14,4,0,0,0,0,3,16,16,16,10,1,0,0,0,13,15,8,15,9,0,0,0,8,16,7,11,13,0,0,0,0,8,13,16,13,1,6\n0,0,3,12,10,1,0,0,0,0,12,16,16,10,0,0,0,0,7,16,16,8,0,0,0,0,3,16,16,12,0,0,0,0,2,15,16,14,0,0,0,0,0,16,16,15,0,0,0,0,2,16,16,14,0,0,0,0,4,8,12,3,0,0,1\n0,0,3,13,16,9,1,0,0,3,13,14,7,16,6,0,0,6,16,4,5,16,3,0,0,6,16,8,15,11,0,0,0,1,16,16,13,1,0,0,0,4,16,16,14,2,0,0,0,2,16,15,16,10,0,0,0,0,5,14,16,11,0,0,8\n0,0,0,9,16,1,0,0,0,0,3,16,13,0,0,0,0,0,10,16,7,10,6,0,0,6,16,16,13,16,8,0,0,4,15,16,16,16,6,0,0,0,0,7,16,12,0,0,0,0,0,11,16,2,0,0,0,0,0,14,10,0,0,0,4\n0,1,12,3,0,0,0,0,0,10,16,15,1,0,0,0,0,8,3,13,5,0,0,0,0,1,0,9,9,0,0,0,0,0,0,13,6,0,0,0,0,0,2,15,2,0,0,0,0,0,13,16,14,14,12,0,0,0,8,12,12,10,11,0,2\n0,0,4,15,2,0,0,0,0,0,12,15,1,0,0,0,0,2,16,10,0,0,0,0,0,3,16,8,1,0,0,0,0,6,16,16,15,9,2,0,0,3,16,14,8,15,10,0,0,0,10,15,8,13,15,0,0,0,4,8,13,13,6,0,6\n0,0,0,2,15,3,0,0,0,0,0,9,13,0,2,0,0,0,7,15,1,5,12,0,0,2,16,10,4,12,7,0,0,6,13,14,16,16,5,0,0,0,0,0,8,13,0,0,0,0,0,0,15,5,0,0,0,0,0,3,12,0,0,0,4\n0,0,1,8,12,7,0,0,0,0,7,16,16,16,10,0,0,0,5,16,16,16,5,0,0,0,5,16,16,15,1,0,0,0,4,16,16,16,4,0,0,0,9,16,16,16,0,0,0,0,9,16,16,14,0,0,0,0,2,10,12,9,0,0,1\n0,0,3,13,16,16,9,0,0,0,3,9,11,16,6,0,0,0,0,0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12,13,9,1,0,9\n0,2,9,12,16,14,1,0,0,5,14,6,6,7,0,0,0,4,14,6,8,3,0,0,0,4,16,16,15,16,2,0,0,1,6,2,0,13,8,0,0,0,0,0,0,12,7,0,0,1,8,8,9,15,2,0,0,2,12,13,9,3,0,0,5\n0,0,7,12,11,9,0,0,0,7,16,15,11,13,0,0,0,0,12,7,0,0,0,0,0,0,12,10,6,0,0,0,0,0,8,12,13,14,0,0,0,0,0,0,0,8,8,0,0,0,10,6,4,12,9,0,0,0,10,13,12,10,2,0,5\n0,0,7,10,0,0,0,0,0,0,12,13,0,0,0,0,0,2,16,8,0,0,0,0,0,0,16,5,0,0,0,0,0,4,16,10,6,0,0,0,0,4,16,16,16,14,5,0,0,3,16,10,11,16,11,0,0,0,7,14,12,9,2,0,6\n0,2,10,14,13,6,0,0,0,4,16,8,13,15,3,0,0,2,16,4,9,16,4,0,0,0,12,10,12,16,4,0,0,0,2,9,12,16,0,0,0,0,0,0,4,16,1,0,0,0,2,4,11,16,4,0,0,3,16,13,11,4,0,0,9\n0,0,0,1,16,8,0,0,0,0,0,9,16,2,0,0,0,0,2,15,8,0,0,0,0,0,10,14,0,0,0,0,0,6,16,5,2,13,6,0,0,14,16,15,13,16,3,0,0,4,8,8,15,11,0,0,0,0,0,2,16,7,0,0,4\n0,0,0,4,12,0,0,0,0,0,0,10,14,0,0,0,0,0,1,15,5,0,0,0,0,0,10,13,0,12,5,0,0,3,16,2,6,16,3,0,0,11,16,10,13,16,1,0,0,1,7,12,16,11,0,0,0,0,0,5,16,5,0,0,4\n0,0,0,7,13,3,0,0,0,0,1,15,16,15,0,0,0,9,16,16,16,16,2,0,0,4,8,12,16,10,0,0,0,0,0,11,16,13,0,0,0,0,0,7,16,15,0,0,0,0,0,6,16,16,2,0,0,0,0,6,16,16,7,0,1\n0,0,8,15,7,0,0,0,0,0,14,14,16,1,0,0,0,0,8,2,13,5,0,0,0,0,0,0,14,4,0,0,0,0,0,1,15,3,0,0,0,0,0,4,15,0,0,0,0,0,4,15,15,12,10,1,0,0,7,15,14,12,16,3,2\n0,0,4,11,0,0,0,0,0,0,11,9,0,0,0,0,0,0,16,4,0,0,0,0,0,1,15,2,4,2,0,0,0,5,14,13,16,14,1,0,0,4,16,6,0,10,10,0,0,1,15,3,1,13,8,0,0,0,3,12,14,10,1,0,6\n0,0,9,15,15,4,0,0,0,4,15,7,14,12,0,0,0,7,12,2,14,13,0,0,0,2,14,16,14,16,1,0,0,0,1,3,3,16,4,0,0,0,1,0,0,14,4,0,0,0,14,11,6,14,5,0,0,0,8,12,14,11,2,0,9\n0,0,0,10,11,0,0,0,0,0,0,15,8,0,0,0,0,0,3,16,2,0,0,0,0,0,6,14,0,0,0,0,0,0,13,16,16,13,3,0,0,2,14,16,4,11,10,0,0,0,1,14,6,12,12,0,0,0,0,9,16,14,4,0,6\n0,0,4,10,0,0,0,0,0,0,9,15,2,0,0,0,0,0,12,10,0,0,0,0,0,0,15,8,3,0,0,0,0,1,16,16,16,14,2,0,0,0,16,10,5,15,8,0,0,0,11,13,11,16,4,0,0,0,3,11,13,5,0,0,6\n0,0,8,15,16,7,0,0,0,5,16,11,1,12,0,0,0,0,14,4,12,7,0,0,0,0,3,14,12,1,0,0,0,0,2,15,7,0,0,0,0,0,11,10,12,0,0,0,0,0,13,3,16,0,0,0,0,0,7,14,12,0,0,0,8\n0,1,9,13,13,5,0,0,0,10,14,6,9,16,3,0,0,7,10,0,0,16,6,0,0,0,0,0,10,14,1,0,0,0,0,9,15,3,0,0,0,0,7,16,2,0,0,0,0,0,14,9,0,3,1,0,0,0,14,16,15,12,2,0,2\n0,1,10,16,16,15,6,0,0,5,15,8,6,16,11,0,0,0,2,5,15,13,3,0,0,0,0,16,14,0,0,0,0,0,0,6,16,11,1,0,0,0,0,0,6,16,8,0,0,0,3,5,12,16,5,0,0,0,16,16,13,7,0,0,3\n0,0,3,14,16,13,6,0,0,0,13,7,1,13,16,1,0,0,12,5,0,10,12,0,0,0,8,14,12,14,2,0,0,0,0,4,14,6,0,0,0,0,0,5,13,0,0,0,0,0,0,13,6,0,0,0,0,0,2,11,0,0,0,0,9\n0,0,6,13,11,1,0,0,0,0,12,14,11,11,0,0,0,0,15,2,0,14,2,0,0,3,15,0,0,8,6,0,0,5,13,0,0,7,7,0,0,3,14,0,0,12,7,0,0,0,12,7,8,14,2,0,0,0,4,12,12,5,0,0,0\n0,1,8,16,16,12,0,0,0,7,15,9,14,15,0,0,0,3,3,0,12,14,0,0,0,0,6,10,15,14,1,0,0,8,16,16,16,15,8,0,0,5,5,10,14,1,0,0,0,0,1,15,8,0,0,0,0,0,13,11,1,0,0,0,7\n0,0,4,9,16,8,0,0,0,3,16,16,16,13,0,0,0,3,16,8,16,8,0,0,0,0,11,16,12,0,0,0,0,0,10,16,4,0,0,0,0,0,14,16,10,0,0,0,0,0,14,14,13,0,0,0,0,0,6,16,9,0,0,0,8\n0,0,13,16,13,6,0,0,0,0,15,14,15,15,3,0,0,0,10,11,7,13,1,0,0,0,0,13,16,7,0,0,0,0,10,16,13,0,0,0,0,0,15,4,14,3,0,0,0,3,12,4,16,1,0,0,0,1,12,15,6,0,0,0,8\n0,3,15,15,8,9,0,0,0,7,14,11,16,16,6,0,0,2,16,2,7,15,3,0,0,0,8,14,16,5,0,0,0,0,7,16,6,0,0,0,0,1,15,14,8,0,0,0,0,6,14,14,7,0,0,0,0,3,16,15,2,0,0,0,8\n0,0,7,12,0,0,0,0,0,0,15,15,10,13,0,0,0,5,14,3,3,14,2,0,0,4,10,0,0,10,5,0,0,3,9,0,0,15,3,0,0,2,9,0,3,16,1,0,0,0,14,4,13,8,0,0,0,0,5,16,12,1,0,0,0\n0,0,4,13,16,16,9,0,0,2,12,6,1,12,12,0,0,1,3,2,15,10,0,0,0,0,0,11,9,0,0,0,0,0,0,4,14,2,0,0,0,0,0,0,13,10,0,0,0,0,0,0,10,11,0,0,0,6,9,13,12,1,0,0,3\n0,0,9,10,15,14,0,0,0,2,16,16,16,15,0,0,0,2,16,4,15,5,0,0,0,0,12,16,12,0,0,0,0,0,13,16,4,0,0,0,0,2,16,14,12,0,0,0,0,1,16,11,16,4,0,0,0,0,9,16,15,3,0,0,8\n0,0,0,3,15,5,0,0,0,0,3,14,13,1,0,0,0,1,14,13,1,1,2,0,0,8,16,3,0,12,12,0,0,12,14,8,8,16,7,0,0,5,15,16,16,16,1,0,0,0,0,0,15,11,0,0,0,0,0,2,16,7,0,0,4\n0,5,14,15,12,10,1,0,0,13,16,16,16,16,7,0,0,12,16,3,0,1,1,0,0,8,16,4,0,0,0,0,0,0,15,13,0,0,0,0,0,0,5,16,2,0,0,0,0,0,8,16,5,0,0,0,0,6,16,13,0,0,0,0,5\n0,3,13,15,16,9,1,0,0,6,12,2,3,16,6,0,0,0,0,2,13,11,0,0,0,0,0,9,13,0,0,0,0,0,0,8,12,0,0,0,0,0,0,3,15,5,0,0,0,0,4,3,14,11,0,0,0,3,15,15,9,1,0,0,3\n0,0,3,12,14,8,5,0,0,2,14,8,10,16,14,0,0,4,12,0,4,16,11,0,0,2,16,10,13,16,4,0,0,0,5,8,9,16,0,0,0,0,0,0,11,9,0,0,0,0,0,5,15,2,0,0,0,0,2,13,6,0,0,0,9\n0,0,0,4,14,14,0,0,0,0,3,15,13,3,0,0,0,0,15,15,1,0,0,0,0,7,16,5,0,9,6,0,0,11,16,8,12,16,9,0,0,3,11,12,16,14,0,0,0,0,0,6,16,9,0,0,0,0,0,7,16,4,0,0,4\n0,3,14,16,16,13,0,0,0,8,15,8,13,16,0,0,0,0,1,2,16,10,0,0,0,0,0,12,15,1,0,0,0,0,9,15,3,0,0,0,0,2,16,8,0,0,0,0,0,6,16,4,4,7,7,0,0,3,15,16,16,13,7,0,2\n0,0,5,14,16,16,12,0,0,5,16,13,8,13,16,0,0,3,7,0,3,14,10,0,0,0,0,1,13,14,0,0,0,0,0,9,15,3,0,0,0,0,4,16,7,0,0,0,0,0,12,13,0,0,0,0,0,0,6,16,16,10,0,0,2\n0,0,2,14,15,2,0,0,0,0,13,15,14,8,0,0,0,0,16,6,11,10,0,0,0,1,9,8,15,9,0,0,0,10,16,16,16,16,9,0,0,1,4,8,16,5,5,0,0,0,0,14,13,0,0,0,0,0,2,16,6,0,0,0,7\n0,0,9,14,16,12,1,0,0,3,14,5,4,12,8,0,0,1,2,0,0,13,6,0,0,0,4,8,10,16,4,0,0,5,14,11,16,8,1,0,0,3,2,9,11,0,0,0,0,0,3,15,2,0,0,0,0,0,9,8,0,0,0,0,7\n0,0,9,16,14,12,3,0,0,3,13,4,11,8,11,0,0,1,15,5,0,12,4,0,0,0,3,14,13,7,0,0,0,0,0,10,13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0,1,11,10,11,11,0,0,0,0,0,10,16,3,0,0,0,0,1,13,13,3,0,0,0,0,7,15,6,11,0,0,0,0,10,12,7,14,0,0,0,0,4,16,15,3,0,0,8\n0,0,11,7,10,3,0,0,0,0,9,12,12,14,0,0,0,0,0,15,15,11,1,0,0,0,1,14,9,0,0,0,0,0,9,13,8,0,0,0,0,0,14,5,10,0,0,0,0,0,14,2,12,0,0,0,0,0,10,16,10,0,0,0,8\n0,4,16,16,16,15,2,0,0,3,11,8,9,16,8,0,0,0,0,1,14,15,1,0,0,0,2,15,16,6,0,0,0,0,2,12,14,14,0,0,0,0,0,0,3,16,1,0,0,5,10,4,7,16,2,0,0,2,16,16,16,8,0,0,3\n0,0,7,16,12,5,0,0,0,0,13,10,7,15,0,0,0,0,10,15,12,13,0,0,0,0,0,13,16,5,0,0,0,0,8,15,10,8,0,0,0,0,13,5,0,13,1,0,0,0,14,2,4,15,1,0,0,0,6,16,16,6,0,0,8\n0,0,5,13,15,6,0,0,0,1,15,15,10,11,0,0,0,7,16,1,0,0,0,0,0,10,16,16,12,2,0,0,0,3,8,4,9,10,0,0,0,0,0,0,5,14,0,0,0,0,4,4,13,13,0,0,0,0,11,16,16,4,0,0,5\n0,0,12,16,16,9,1,0,0,8,16,14,11,14,3,0,0,8,16,4,0,0,0,0,0,3,15,16,6,0,0,0,0,0,0,6,14,1,0,0,0,0,0,1,16,4,0,0,0,0,9,11,16,1,0,0,0,1,13,16,10,0,0,0,5\n0,0,1,15,11,1,0,0,0,0,3,16,16,2,0,0,0,0,3,16,16,1,0,0,0,0,1,16,16,2,0,0,0,0,4,16,14,0,0,0,0,0,2,16,16,0,0,0,0,0,2,16,14,0,0,0,0,0,1,15,7,0,0,0,1\n0,0,6,14,13,5,0,0,0,0,5,6,14,10,0,0,0,0,9,16,14,1,0,0,0,0,7,16,10,0,0,0,0,0,10,7,12,2,0,0,0,0,13,3,6,6,0,0,0,0,12,5,11,9,0,0,0,0,5,16,15,3,0,0,8\n0,0,0,16,6,0,0,0,0,0,0,16,14,0,0,0,0,0,0,14,16,0,0,0,0,0,0,15,15,0,0,0,0,0,0,14,15,0,0,0,0,0,0,15,14,0,0,0,0,0,0,13,14,0,0,0,0,0,0,10,13,0,0,0,1\n0,0,5,14,10,1,0,0,0,2,15,15,15,10,0,0,0,7,16,11,1,16,1,0,0,6,16,2,0,14,6,0,0,3,15,0,0,13,6,0,0,3,16,0,3,16,1,0,0,1,15,12,15,14,0,0,0,0,5,13,13,4,0,0,0\n0,0,3,12,14,3,0,0,0,0,11,11,8,13,0,0,0,5,15,1,0,7,2,0,0,3,15,3,0,3,6,0,0,3,11,2,0,4,7,0,0,1,9,0,0,5,7,0,0,0,11,4,4,14,2,0,0,0,2,13,15,9,0,0,0\n0,0,8,15,16,8,0,0,0,3,13,13,6,2,0,0,0,13,8,0,0,0,0,0,0,5,16,5,0,0,0,0,0,0,8,14,2,0,0,0,0,0,0,13,11,0,0,0,0,0,4,13,16,0,0,0,0,0,7,16,8,0,0,0,5\n0,0,16,16,16,10,0,0,0,0,6,9,15,16,1,0,0,0,0,8,16,7,0,0,0,0,0,4,16,6,0,0,0,0,0,0,8,15,1,0,0,0,0,0,0,15,10,0,0,0,1,4,9,15,12,0,0,0,15,16,16,11,2,0,3\n0,2,12,16,16,6,0,0,0,11,15,8,15,12,0,0,0,10,2,7,16,10,0,0,0,0,0,12,15,2,0,0,0,0,0,3,16,11,0,0,0,0,0,0,6,15,10,0,0,0,7,5,10,16,15,0,0,3,16,16,16,10,2,0,3\n0,0,1,12,8,0,0,0,0,0,3,16,6,0,0,0,0,0,9,12,0,0,0,0,0,0,12,11,4,2,0,0,0,0,16,16,16,16,4,0,0,0,12,10,0,2,14,1,0,0,7,11,2,6,15,5,0,0,1,10,15,16,9,0,6\n0,4,16,16,16,8,0,0,0,0,4,2,11,12,0,0,0,0,0,3,15,6,0,0,0,2,4,11,15,1,0,0,0,10,16,16,16,16,9,0,0,1,12,12,4,4,2,0,0,2,16,2,0,0,0,0,0,7,14,0,0,0,0,0,7\n0,1,12,16,16,12,0,0,0,3,15,9,14,14,0,0,0,0,0,0,14,12,0,0,0,0,6,11,16,11,3,0,0,0,11,16,16,16,12,0,0,0,5,16,6,7,3,0,0,0,11,15,0,0,0,0,0,1,15,8,0,0,0,0,7\n0,0,9,16,16,14,0,0,0,3,15,10,2,5,0,0,0,11,9,0,0,0,0,0,0,8,14,1,0,0,0,0,0,1,15,5,0,0,0,0,0,0,11,9,0,0,0,0,0,0,9,12,0,0,0,0,0,0,14,9,0,0,0,0,5\n0,2,16,16,16,13,1,0,0,0,3,3,3,15,5,0,0,0,0,0,5,15,0,0,0,0,3,5,14,3,0,0,0,0,15,16,16,14,5,0,0,0,6,14,4,9,5,0,0,0,12,7,0,0,0,0,0,4,15,0,0,0,0,0,7\n0,0,8,16,16,11,0,0,0,5,15,7,2,16,3,0,0,12,10,0,4,16,1,0,0,11,14,2,12,12,0,0,0,0,11,14,16,2,0,0,0,0,1,16,13,1,0,0,0,0,7,13,16,8,0,0,0,0,13,9,12,12,0,0,8\n0,2,0,13,12,3,0,0,5,14,1,13,16,5,0,0,0,8,16,14,16,4,0,0,0,0,8,16,16,2,0,0,0,0,0,16,16,9,0,0,0,0,3,16,16,16,4,0,0,0,11,16,16,16,6,0,0,0,1,15,16,10,0,0,8\n0,0,8,16,16,4,0,0,0,5,16,8,13,10,0,0,0,6,11,1,14,7,0,0,0,0,0,6,16,1,0,0,0,0,0,15,9,0,0,0,0,0,8,14,2,0,0,0,0,0,16,9,0,2,3,0,0,0,10,16,16,12,3,0,2\n0,0,3,13,12,0,0,0,0,1,16,13,16,4,0,0,0,8,6,7,16,1,0,0,0,0,2,15,9,0,0,0,0,0,11,14,0,0,0,0,0,0,16,10,0,0,0,0,0,0,15,13,8,9,4,0,0,0,3,13,15,13,2,0,2\n0,3,13,16,8,0,0,0,0,14,11,12,16,0,0,0,0,10,1,7,16,1,0,0,0,0,0,12,12,0,0,0,0,0,7,15,1,0,0,0,0,0,15,8,0,0,0,0,0,4,16,9,7,8,8,0,0,2,15,16,16,16,11,0,2\n0,0,5,13,16,7,0,0,0,0,15,8,11,12,0,0,0,0,12,5,14,5,0,0,0,0,10,16,8,0,0,0,0,0,9,16,2,0,0,0,0,0,15,15,6,0,0,0,0,0,14,13,10,0,0,0,0,0,8,16,4,0,0,0,8\n0,0,4,16,12,1,0,0,0,0,10,16,14,9,0,0,0,0,15,14,2,16,2,0,0,1,16,15,1,12,7,0,0,1,16,8,3,10,10,0,0,0,15,4,0,12,10,0,0,0,11,8,4,16,6,0,0,0,2,13,16,14,1,0,0\n0,0,8,16,13,4,0,0,0,0,5,6,12,14,0,0,0,0,0,3,15,14,0,0,0,0,0,13,15,4,0,0,0,0,0,9,12,1,0,0,0,0,0,1,11,12,0,0,0,0,3,4,9,16,4,0,0,0,8,15,14,12,3,0,3\n0,0,4,16,8,0,0,0,0,0,13,12,1,0,0,0,0,3,16,6,0,0,0,0,0,4,16,3,0,0,0,0,0,6,16,1,9,11,3,0,0,2,16,10,15,12,14,2,0,0,11,16,9,7,16,6,0,0,3,13,16,16,10,0,6\n0,0,5,16,16,8,0,0,0,3,11,11,7,4,0,0,0,11,11,0,0,0,0,0,0,13,15,7,0,0,0,0,0,3,8,13,8,0,0,0,0,0,0,2,15,2,0,0,0,0,8,5,15,6,0,0,0,0,7,16,15,3,0,0,5\n0,0,2,9,15,16,7,0,0,0,13,12,4,10,12,0,0,1,16,6,5,14,6,0,0,0,8,16,16,11,0,0,0,0,0,2,4,16,2,0,0,0,0,0,8,13,1,0,0,0,0,2,16,4,0,0,0,0,0,10,7,0,0,0,9\n0,0,0,6,14,16,10,0,0,0,12,16,9,14,11,0,0,7,15,3,8,13,3,0,0,6,16,14,16,8,0,0,0,0,3,4,11,13,0,0,0,0,0,0,14,10,0,0,0,0,0,4,16,5,0,0,0,0,0,7,16,0,0,0,9\n0,0,0,14,14,0,0,0,0,0,5,16,12,0,0,0,0,0,7,16,6,0,0,0,0,0,12,16,4,0,0,0,0,0,12,16,1,0,0,0,0,0,12,16,0,0,0,0,0,0,9,16,4,0,0,0,0,0,1,13,15,2,0,0,1\n0,0,5,11,14,5,0,0,0,7,13,5,4,14,2,0,0,0,4,8,2,14,2,0,0,0,1,13,14,3,0,0,0,0,1,14,8,0,0,0,0,0,9,9,10,2,0,0,0,0,13,1,8,8,0,0,0,0,6,13,14,7,0,0,8\n0,0,8,11,0,0,13,9,0,3,15,6,0,12,13,1,0,3,16,5,7,16,5,0,0,0,12,16,16,16,8,0,0,0,1,11,13,4,0,0,0,0,1,15,4,0,0,0,0,0,7,13,0,0,0,0,0,0,11,5,0,0,0,0,4\n0,2,7,12,15,13,0,0,2,15,16,15,12,5,0,0,2,16,9,1,0,0,0,0,0,10,13,1,0,0,0,0,0,2,15,7,0,0,0,0,0,0,7,14,1,0,0,0,0,0,9,16,3,0,0,0,0,0,11,13,1,0,0,0,5\n0,0,8,15,16,16,2,0,0,7,16,12,8,5,0,0,0,10,10,0,0,0,0,0,0,11,10,0,0,0,0,0,0,2,16,4,0,0,0,0,0,0,6,14,0,0,0,0,0,0,5,14,0,0,0,0,0,0,14,11,0,0,0,0,5\n0,0,2,14,12,0,0,0,0,0,4,16,12,0,0,0,0,0,5,16,6,0,0,0,0,0,6,16,6,0,0,0,0,0,9,16,5,0,0,0,0,0,10,16,4,0,0,0,0,0,8,16,7,0,0,0,0,0,2,14,16,3,0,0,1\n0,1,8,15,15,6,0,0,0,10,16,15,15,14,0,0,0,4,13,7,16,7,0,0,0,2,14,16,14,1,0,0,0,0,3,16,7,0,0,0,0,0,11,16,15,0,0,0,0,0,13,16,16,3,0,0,0,0,7,16,15,1,0,0,8\n0,0,8,16,8,0,0,0,0,9,16,13,16,5,0,0,0,7,3,6,16,4,0,0,0,0,0,15,13,0,0,0,0,0,9,16,2,0,0,0,0,0,14,9,0,0,0,0,0,0,16,11,4,6,8,0,0,0,7,16,16,11,7,0,2\n0,0,3,10,15,8,0,0,0,3,15,9,8,12,0,0,0,8,8,0,5,11,0,0,0,2,6,0,10,7,0,0,0,0,0,5,14,1,0,0,0,0,0,14,5,0,0,0,0,0,4,16,4,5,11,0,0,0,1,14,15,11,2,0,2\n0,0,6,12,14,5,0,0,0,4,16,11,8,15,6,0,0,4,16,7,2,12,6,0,0,0,13,15,15,13,2,0,0,0,1,16,16,6,0,0,0,0,8,15,14,15,1,0,0,3,16,10,10,16,1,0,0,1,12,16,14,5,0,0,8\n0,0,1,12,16,16,11,0,0,0,5,15,8,8,5,0,0,2,15,15,12,7,0,0,0,11,16,16,16,16,4,0,0,3,5,2,1,13,9,0,0,0,0,0,0,11,9,0,0,0,2,10,9,16,4,0,0,0,2,16,16,8,0,0,5\n0,0,0,0,6,16,4,0,0,0,0,0,9,16,8,0,0,0,1,5,16,16,8,0,0,8,16,16,16,16,6,0,0,5,12,12,12,16,4,0,0,0,0,0,9,16,5,0,0,0,0,0,8,16,4,0,0,0,0,0,5,16,2,0,1\n0,0,5,12,15,15,1,0,0,6,16,13,14,16,0,0,0,1,4,0,8,14,0,0,0,0,0,7,15,11,4,0,0,0,7,16,16,16,11,0,0,0,6,15,13,4,0,0,0,0,0,16,9,0,0,0,0,0,5,16,5,0,0,0,7\n0,1,9,15,16,7,0,0,0,6,14,7,14,8,0,0,0,3,2,0,14,6,0,0,0,0,1,16,16,4,0,0,0,0,0,8,15,16,4,0,0,0,0,0,0,13,8,0,0,0,6,8,11,16,4,0,0,0,15,12,10,3,0,0,3\n0,0,0,0,14,12,1,0,0,0,0,0,16,16,2,0,0,0,0,1,15,16,2,0,0,1,8,11,16,11,0,0,0,10,16,16,16,8,0,0,0,1,8,9,16,8,0,0,0,0,0,1,16,14,0,0,0,0,0,0,12,16,2,0,1\n0,0,0,0,5,13,3,0,0,0,0,1,11,16,4,0,0,2,8,14,16,16,5,0,0,2,7,4,12,16,3,0,0,0,0,0,8,16,4,0,0,0,0,0,8,16,5,0,0,0,0,0,8,16,8,0,0,0,0,0,8,16,6,0,1\n0,0,6,11,4,0,0,0,0,0,14,12,14,1,0,0,0,0,7,0,16,6,0,0,0,0,0,0,11,9,0,0,0,0,0,0,13,3,0,0,0,0,0,3,14,2,0,0,0,0,9,16,12,8,7,0,0,0,11,16,16,15,12,0,2\n0,0,1,15,4,0,0,0,0,4,7,9,16,4,0,0,0,8,7,0,4,15,0,0,0,6,6,0,0,11,6,0,0,5,9,0,0,3,9,0,0,0,15,0,0,5,9,0,0,0,11,11,5,15,5,0,0,0,3,13,16,11,0,0,0\n0,0,0,0,7,15,0,0,0,0,0,0,10,16,1,0,0,0,2,11,16,16,0,0,0,7,16,14,11,16,3,0,0,1,2,0,8,16,3,0,0,0,0,0,4,16,4,0,0,0,0,0,4,16,3,0,0,0,0,0,6,15,2,0,1\n0,0,0,4,16,4,0,0,0,0,0,9,16,3,0,0,0,0,4,16,8,4,11,0,0,1,12,14,2,13,14,0,0,11,16,13,13,16,7,0,0,9,16,16,16,13,3,0,0,0,0,6,16,6,0,0,0,0,0,6,16,4,0,0,4\n0,0,0,0,12,15,2,0,0,0,0,1,15,16,0,0,0,0,3,12,16,16,0,0,0,6,16,16,16,15,0,0,0,6,11,6,16,12,0,0,0,0,0,0,16,12,0,0,0,0,0,0,15,13,0,0,0,0,0,0,9,16,3,0,1\n0,0,8,16,15,5,0,0,0,3,16,13,16,6,0,0,0,1,5,3,16,8,0,0,0,0,1,6,16,5,0,0,0,2,15,16,16,16,6,0,0,5,12,16,15,12,3,0,0,0,1,16,6,0,0,0,0,0,10,15,0,0,0,0,7\n0,0,1,10,16,8,0,0,0,0,13,11,10,15,2,0,0,5,16,0,6,16,4,0,0,3,16,16,14,16,4,0,0,0,0,0,0,13,6,0,0,0,0,0,0,12,8,0,0,0,2,13,5,13,7,0,0,0,1,14,13,9,1,0,9\n0,0,9,16,12,1,0,0,0,7,16,13,16,9,0,0,0,9,6,0,12,12,0,0,0,0,0,0,11,10,0,0,0,0,0,2,15,6,0,0,0,0,0,11,12,0,0,0,0,0,12,16,13,9,2,0,0,0,11,16,16,16,11,0,2\n0,0,6,16,15,10,1,0,0,1,14,8,8,11,2,0,0,5,12,11,12,6,0,0,0,7,16,14,12,15,3,0,0,1,2,0,0,10,8,0,0,0,1,0,0,9,6,0,0,0,14,4,5,14,1,0,0,0,8,16,13,3,0,0,5\n0,0,0,14,3,0,0,0,0,0,5,15,2,0,0,0,0,0,10,11,0,0,0,0,0,0,13,6,0,0,0,0,0,0,14,16,16,11,3,0,0,0,13,7,2,7,15,0,0,0,8,13,1,5,16,1,0,0,1,11,16,15,7,0,6\n0,0,2,15,1,0,0,0,0,0,10,10,0,0,0,0,0,1,14,3,0,0,0,0,0,7,13,0,0,0,0,0,0,7,15,16,12,6,1,0,0,4,16,11,8,13,9,0,0,1,15,10,4,10,14,0,0,0,4,12,16,12,5,0,6\n0,2,14,16,9,0,0,0,0,6,16,14,14,2,0,0,0,5,12,4,16,1,0,0,0,0,1,3,16,1,0,0,0,0,0,8,12,0,0,0,0,0,1,13,9,0,0,0,0,1,15,16,16,13,8,1,0,2,16,16,16,16,16,3,2\n0,0,5,16,16,5,0,0,0,5,16,11,7,1,0,0,0,11,16,14,5,0,0,0,0,4,8,11,16,13,1,0,0,0,0,0,4,16,7,0,0,0,2,0,0,9,11,0,0,0,8,11,8,15,7,0,0,0,3,12,16,9,0,0,5\n0,0,9,14,11,9,0,0,0,1,16,11,9,15,0,0,0,4,16,3,6,14,7,0,0,1,14,16,16,10,1,0,0,0,10,16,12,0,0,0,0,1,14,10,16,7,0,0,0,2,16,4,11,15,0,0,0,0,10,14,15,11,0,0,8\n0,0,5,14,10,0,0,0,0,1,16,11,11,11,0,0,0,4,15,3,1,13,4,0,0,5,9,0,0,6,8,0,0,6,8,0,0,4,8,0,0,4,14,0,0,7,6,0,0,1,16,11,10,15,2,0,0,0,5,12,13,6,0,0,0\n0,0,11,16,15,10,0,0,0,0,10,16,8,7,0,0,0,2,16,3,0,0,0,0,0,6,16,16,15,7,0,0,0,1,8,8,9,15,6,0,0,0,0,0,0,10,8,0,0,0,2,7,12,16,4,0,0,0,11,13,11,2,0,0,5\n0,0,5,16,8,1,0,0,0,4,13,14,15,6,0,0,0,8,13,0,8,16,1,0,0,8,12,0,0,12,8,0,0,8,12,0,0,12,8,0,0,5,15,2,0,13,9,0,0,0,15,11,12,15,4,0,0,0,6,16,14,5,0,0,0\n0,2,14,14,1,0,0,0,0,9,13,13,6,0,0,0,0,9,5,3,10,0,0,0,0,0,1,3,9,0,0,0,0,0,0,8,4,0,0,0,0,0,2,15,4,2,0,0,0,1,13,16,16,16,9,0,0,0,13,8,8,7,2,0,2\n0,1,8,16,16,15,3,0,0,4,15,9,6,4,0,0,0,7,15,12,8,1,0,0,0,8,15,12,14,15,1,0,0,1,2,0,1,14,8,0,0,0,0,0,0,12,8,0,0,0,12,6,7,15,3,0,0,0,10,16,11,3,0,0,5\n0,0,3,14,16,14,0,0,0,0,15,11,14,16,0,0,0,5,10,0,13,10,0,0,0,0,3,8,16,10,1,0,0,0,13,16,16,16,10,0,0,0,4,14,9,5,1,0,0,0,2,16,4,0,0,0,0,0,3,15,0,0,0,0,7\n0,2,10,13,7,0,0,0,0,8,12,9,16,3,0,0,0,1,0,0,16,5,0,0,0,0,0,6,16,2,0,0,0,0,0,4,14,13,0,0,0,0,0,0,3,16,7,0,0,0,3,5,10,16,5,0,0,3,16,14,12,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4,16,16,16,8,0,0,0,4,16,16,16,6,0,0,0,4,16,16,15,3,0,0,0,4,16,16,13,2,0,0,0,1,7,10,8,2,0,0,1\n0,0,4,13,11,1,0,0,0,9,15,10,12,8,0,0,0,8,10,0,6,9,0,0,0,0,0,1,16,3,0,0,0,0,0,14,16,13,3,0,0,0,6,2,4,8,12,0,0,1,15,4,5,12,12,0,0,0,7,13,16,13,1,0,3\n0,0,8,15,14,1,0,0,0,1,15,15,14,11,0,0,0,7,16,3,1,16,3,0,0,8,16,0,0,13,7,0,0,5,16,0,0,13,8,0,0,2,16,3,1,16,4,0,0,0,16,14,16,12,0,0,0,0,9,16,10,1,0,0,0\n0,0,0,13,6,2,0,0,0,0,2,16,8,16,3,0,0,1,14,13,12,16,0,0,0,9,16,16,16,16,10,0,0,3,12,14,16,13,6,0,0,0,0,8,16,1,0,0,0,0,0,11,10,0,0,0,0,0,0,13,7,0,0,0,4\n0,0,9,12,12,1,0,0,0,6,14,5,9,11,3,0,0,7,12,9,15,9,1,0,0,1,16,14,2,0,0,0,0,0,14,12,14,2,0,0,0,2,12,0,9,13,0,0,0,0,15,1,6,14,0,0,0,0,6,14,15,3,0,0,8\n0,0,4,16,7,2,0,0,0,0,8,16,16,4,0,0,0,0,11,16,16,3,0,0,0,0,9,16,16,0,0,0,0,0,11,16,16,2,0,0,0,0,9,16,15,0,0,0,0,0,9,16,15,0,0,0,0,0,6,12,3,0,0,0,1\n0,0,4,16,10,1,0,0,0,0,11,10,11,12,0,0,0,6,16,0,1,12,3,0,0,6,14,1,0,5,7,0,0,8,8,0,0,5,8,0,0,4,13,0,1,12,9,0,0,0,14,10,14,16,2,0,0,0,4,15,12,3,0,0,0\n0,0,0,5,12,15,12,0,0,0,8,11,3,4,14,1,0,2,15,2,4,16,13,0,0,1,15,12,12,12,10,0,0,0,1,2,0,13,7,0,0,0,0,0,2,14,1,0,0,0,0,0,12,7,0,0,0,0,0,8,11,0,0,0,9\n0,0,1,12,12,1,0,0,0,0,10,13,12,9,0,0,0,2,16,6,1,13,3,0,0,6,16,2,0,12,8,0,0,2,16,1,0,8,8,0,0,0,14,5,0,9,9,0,0,0,5,15,4,14,6,0,0,0,0,14,15,7,0,0,0\n0,3,12,12,15,16,16,2,0,2,14,13,12,16,11,0,0,0,0,0,11,15,2,0,0,0,0,11,16,3,0,0,0,0,1,16,12,0,0,0,0,0,8,16,2,0,0,0,0,0,14,12,0,0,0,0,0,3,16,9,0,0,0,0,7\n0,0,0,3,13,16,5,0,0,0,3,15,7,13,13,0,0,1,13,6,14,16,11,0,0,1,16,14,10,11,10,0,0,0,0,0,0,14,6,0,0,0,0,0,2,15,2,0,0,0,0,0,10,8,0,0,0,0,0,4,13,0,0,0,9\n0,0,0,2,15,10,0,0,0,0,0,10,16,16,0,0,0,0,4,16,16,3,0,0,0,4,15,16,16,1,0,0,0,4,12,16,16,0,0,0,0,0,0,12,16,4,0,0,0,0,0,9,16,4,0,0,0,0,0,4,15,4,0,0,1\n0,0,2,15,15,11,3,0,0,2,15,6,4,4,3,0,0,5,16,15,7,0,0,0,0,1,4,6,13,13,0,0,0,0,0,0,0,14,4,0,0,0,3,3,0,11,3,0,0,0,7,7,10,12,0,0,0,0,3,14,9,1,0,0,5\n0,0,7,13,15,6,0,0,0,1,16,6,10,8,8,0,0,4,16,3,4,11,8,0,0,0,11,11,13,9,0,0,0,0,2,15,16,3,0,0,0,0,9,9,7,15,2,0,0,0,12,7,0,15,4,0,0,0,4,15,16,13,1,0,8\n0,0,1,14,6,9,5,0,0,0,11,12,3,16,7,0,0,5,16,2,12,11,3,0,0,10,16,8,16,16,14,0,0,7,16,16,14,11,3,0,0,0,3,13,8,0,0,0,0,0,0,15,5,0,0,0,0,0,2,16,2,0,0,0,4\n0,0,8,16,16,16,9,0,0,5,15,9,5,14,16,2,0,0,0,0,3,16,9,0,0,0,0,0,14,11,1,0,0,0,0,7,16,5,0,0,0,0,3,16,8,0,0,0,0,0,9,16,3,0,0,0,0,0,12,16,1,0,0,0,7\n0,0,5,14,8,0,0,0,0,0,15,11,15,0,0,0,0,0,5,2,11,3,0,0,0,0,0,9,16,5,0,0,0,0,1,12,12,15,5,0,0,0,0,0,0,5,12,0,0,0,6,4,7,12,10,0,0,0,9,15,12,9,1,0,3\n0,0,6,16,9,1,0,0,0,3,15,8,13,3,0,0,0,8,8,0,11,4,0,0,0,1,0,7,16,6,0,0,0,0,2,16,14,16,5,0,0,0,0,5,0,11,8,0,0,0,4,6,9,15,2,0,0,0,4,15,11,3,0,0,3\n0,0,4,12,14,2,0,0,0,4,15,7,11,14,5,0,0,7,12,0,3,15,4,0,0,2,14,12,14,6,0,0,0,0,3,16,16,2,0,0,0,0,6,12,10,11,0,0,0,0,7,12,9,11,0,0,0,0,2,12,10,1,0,0,8\n0,2,4,7,13,15,2,0,0,14,16,16,15,16,5,0,0,1,4,0,14,14,0,0,0,0,0,0,16,12,0,0,0,0,0,3,16,7,0,0,0,0,0,5,16,7,0,0,0,0,0,5,16,6,0,0,0,0,0,7,16,9,0,0,7\n0,0,2,10,15,5,0,0,0,0,10,15,5,1,0,0,0,1,16,2,0,0,0,0,0,4,14,0,0,0,0,0,0,5,12,2,7,9,2,0,0,1,16,15,13,12,12,0,0,0,15,11,7,15,6,0,0,0,4,13,15,7,0,0,6\n0,0,12,14,1,0,0,0,0,8,16,12,6,0,0,0,0,8,7,7,8,0,0,0,0,0,0,9,7,0,0,0,0,0,0,11,5,0,0,0,0,0,0,14,1,0,0,0,0,0,9,13,4,7,4,0,0,0,15,16,16,16,13,0,2\n0,0,2,12,15,5,0,0,0,0,13,5,5,10,4,0,0,0,14,1,3,15,7,0,0,0,12,10,10,7,0,0,0,0,1,15,11,0,0,0,0,0,4,14,14,0,0,0,0,0,6,10,12,1,0,0,0,0,1,15,11,0,0,0,8\n0,0,3,14,11,0,0,0,0,3,14,9,14,0,0,0,0,8,11,0,4,11,7,0,0,3,15,13,14,11,1,0,0,0,0,14,16,12,1,0,0,0,7,14,2,14,8,0,0,0,8,10,5,14,5,0,0,0,4,15,13,6,0,0,8\n0,0,5,13,8,3,5,0,0,2,16,11,3,2,3,0,0,7,13,4,4,0,0,0,0,5,16,12,14,11,0,0,0,0,0,0,2,14,2,0,0,0,0,0,0,13,3,0,0,0,10,4,6,13,0,0,0,0,6,14,13,3,0,0,5\n0,0,10,16,12,1,0,0,0,9,16,12,16,7,0,0,0,4,7,1,16,4,0,0,0,0,0,14,16,8,0,0,0,0,0,10,14,16,4,0,0,5,7,0,0,14,9,0,0,3,15,5,6,15,7,0,0,0,8,16,16,8,0,0,3\n0,0,0,12,14,1,0,0,0,0,7,16,6,0,0,0,0,1,14,8,0,0,0,0,0,3,16,10,8,2,0,0,0,2,16,16,16,15,4,0,0,1,14,16,6,8,15,0,0,0,5,16,16,13,16,1,0,0,0,9,16,15,7,0,6\n0,1,13,16,15,1,0,0,0,10,15,7,16,4,0,0,0,11,15,7,16,4,0,0,0,1,11,12,15,0,0,0,0,0,1,16,11,0,0,0,0,0,7,16,4,0,0,0,0,0,14,16,5,3,0,0,0,0,13,16,16,16,10,0,2\n0,0,1,13,16,6,0,0,0,6,14,16,16,7,0,0,2,14,16,16,16,2,0,0,0,0,5,16,16,2,0,0,0,0,2,16,16,2,0,0,0,0,0,16,16,1,0,0,0,0,0,14,16,2,0,0,0,0,0,13,16,1,0,0,1\n0,5,14,12,15,15,3,0,0,0,2,4,11,16,5,0,0,0,0,1,15,9,0,0,0,0,0,7,16,1,0,0,0,0,0,3,16,11,0,0,0,0,0,0,15,16,0,0,0,1,7,10,16,7,0,0,0,2,12,13,4,0,0,0,3\n0,0,2,12,13,0,0,0,0,3,15,13,16,0,0,0,0,10,13,1,16,0,0,0,0,0,1,4,16,0,0,0,0,0,0,6,13,0,0,0,0,0,0,9,10,7,8,0,0,0,0,14,15,15,3,0,0,0,0,15,12,3,0,0,2\n0,0,0,9,16,12,2,0,0,0,3,15,10,16,4,0,0,1,14,8,0,13,7,0,0,7,15,1,0,14,6,0,0,4,15,0,0,15,5,0,0,1,12,4,9,15,0,0,0,0,5,16,16,9,0,0,0,0,0,9,14,2,0,0,0\n0,0,0,11,15,4,0,0,0,0,4,16,14,2,0,0,0,0,11,16,3,0,0,0,0,0,14,13,0,0,0,0,0,1,16,12,3,0,0,0,0,2,16,16,16,6,0,0,0,0,11,16,16,15,0,0,0,0,0,8,16,15,1,0,6\n0,0,2,10,13,16,6,0,0,9,16,14,12,9,2,0,0,5,16,3,0,0,0,0,0,0,10,14,6,1,0,0,0,0,1,13,16,11,0,0,0,0,0,0,8,16,0,0,0,0,0,2,15,12,0,0,0,0,0,13,16,2,0,0,5\n0,0,3,11,15,8,0,0,0,0,9,14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  },
  {
    "path": "napkin_ml/data/iris.csv",
    "content": "5.1,3.5,1.4,0.2,Iris-setosa\n4.9,3.0,1.4,0.2,Iris-setosa\n4.7,3.2,1.3,0.2,Iris-setosa\n4.6,3.1,1.5,0.2,Iris-setosa\n5.0,3.6,1.4,0.2,Iris-setosa\n5.4,3.9,1.7,0.4,Iris-setosa\n4.6,3.4,1.4,0.3,Iris-setosa\n5.0,3.4,1.5,0.2,Iris-setosa\n4.4,2.9,1.4,0.2,Iris-setosa\n4.9,3.1,1.5,0.1,Iris-setosa\n5.4,3.7,1.5,0.2,Iris-setosa\n4.8,3.4,1.6,0.2,Iris-setosa\n4.8,3.0,1.4,0.1,Iris-setosa\n4.3,3.0,1.1,0.1,Iris-setosa\n5.8,4.0,1.2,0.2,Iris-setosa\n5.7,4.4,1.5,0.4,Iris-setosa\n5.4,3.9,1.3,0.4,Iris-setosa\n5.1,3.5,1.4,0.3,Iris-setosa\n5.7,3.8,1.7,0.3,Iris-setosa\n5.1,3.8,1.5,0.3,Iris-setosa\n5.4,3.4,1.7,0.2,Iris-setosa\n5.1,3.7,1.5,0.4,Iris-setosa\n4.6,3.6,1.0,0.2,Iris-setosa\n5.1,3.3,1.7,0.5,Iris-setosa\n4.8,3.4,1.9,0.2,Iris-setosa\n5.0,3.0,1.6,0.2,Iris-setosa\n5.0,3.4,1.6,0.4,Iris-setosa\n5.2,3.5,1.5,0.2,Iris-setosa\n5.2,3.4,1.4,0.2,Iris-setosa\n4.7,3.2,1.6,0.2,Iris-setosa\n4.8,3.1,1.6,0.2,Iris-setosa\n5.4,3.4,1.5,0.4,Iris-setosa\n5.2,4.1,1.5,0.1,Iris-setosa\n5.5,4.2,1.4,0.2,Iris-setosa\n4.9,3.1,1.5,0.1,Iris-setosa\n5.0,3.2,1.2,0.2,Iris-setosa\n5.5,3.5,1.3,0.2,Iris-setosa\n4.9,3.1,1.5,0.1,Iris-setosa\n4.4,3.0,1.3,0.2,Iris-setosa\n5.1,3.4,1.5,0.2,Iris-setosa\n5.0,3.5,1.3,0.3,Iris-setosa\n4.5,2.3,1.3,0.3,Iris-setosa\n4.4,3.2,1.3,0.2,Iris-setosa\n5.0,3.5,1.6,0.6,Iris-setosa\n5.1,3.8,1.9,0.4,Iris-setosa\n4.8,3.0,1.4,0.3,Iris-setosa\n5.1,3.8,1.6,0.2,Iris-setosa\n4.6,3.2,1.4,0.2,Iris-setosa\n5.3,3.7,1.5,0.2,Iris-setosa\n5.0,3.3,1.4,0.2,Iris-setosa\n7.0,3.2,4.7,1.4,Iris-versicolor\n6.4,3.2,4.5,1.5,Iris-versicolor\n6.9,3.1,4.9,1.5,Iris-versicolor\n5.5,2.3,4.0,1.3,Iris-versicolor\n6.5,2.8,4.6,1.5,Iris-versicolor\n5.7,2.8,4.5,1.3,Iris-versicolor\n6.3,3.3,4.7,1.6,Iris-versicolor\n4.9,2.4,3.3,1.0,Iris-versicolor\n6.6,2.9,4.6,1.3,Iris-versicolor\n5.2,2.7,3.9,1.4,Iris-versicolor\n5.0,2.0,3.5,1.0,Iris-versicolor\n5.9,3.0,4.2,1.5,Iris-versicolor\n6.0,2.2,4.0,1.0,Iris-versicolor\n6.1,2.9,4.7,1.4,Iris-versicolor\n5.6,2.9,3.6,1.3,Iris-versicolor\n6.7,3.1,4.4,1.4,Iris-versicolor\n5.6,3.0,4.5,1.5,Iris-versicolor\n5.8,2.7,4.1,1.0,Iris-versicolor\n6.2,2.2,4.5,1.5,Iris-versicolor\n5.6,2.5,3.9,1.1,Iris-versicolor\n5.9,3.2,4.8,1.8,Iris-versicolor\n6.1,2.8,4.0,1.3,Iris-versicolor\n6.3,2.5,4.9,1.5,Iris-versicolor\n6.1,2.8,4.7,1.2,Iris-versicolor\n6.4,2.9,4.3,1.3,Iris-versicolor\n6.6,3.0,4.4,1.4,Iris-versicolor\n6.8,2.8,4.8,1.4,Iris-versicolor\n6.7,3.0,5.0,1.7,Iris-versicolor\n6.0,2.9,4.5,1.5,Iris-versicolor\n5.7,2.6,3.5,1.0,Iris-versicolor\n5.5,2.4,3.8,1.1,Iris-versicolor\n5.5,2.4,3.7,1.0,Iris-versicolor\n5.8,2.7,3.9,1.2,Iris-versicolor\n6.0,2.7,5.1,1.6,Iris-versicolor\n5.4,3.0,4.5,1.5,Iris-versicolor\n6.0,3.4,4.5,1.6,Iris-versicolor\n6.7,3.1,4.7,1.5,Iris-versicolor\n6.3,2.3,4.4,1.3,Iris-versicolor\n5.6,3.0,4.1,1.3,Iris-versicolor\n5.5,2.5,4.0,1.3,Iris-versicolor\n5.5,2.6,4.4,1.2,Iris-versicolor\n6.1,3.0,4.6,1.4,Iris-versicolor\n5.8,2.6,4.0,1.2,Iris-versicolor\n5.0,2.3,3.3,1.0,Iris-versicolor\n5.6,2.7,4.2,1.3,Iris-versicolor\n5.7,3.0,4.2,1.2,Iris-versicolor\n5.7,2.9,4.2,1.3,Iris-versicolor\n6.2,2.9,4.3,1.3,Iris-versicolor\n5.1,2.5,3.0,1.1,Iris-versicolor\n5.7,2.8,4.1,1.3,Iris-versicolor\n6.3,3.3,6.0,2.5,Iris-virginica\n5.8,2.7,5.1,1.9,Iris-virginica\n7.1,3.0,5.9,2.1,Iris-virginica\n6.3,2.9,5.6,1.8,Iris-virginica\n6.5,3.0,5.8,2.2,Iris-virginica\n7.6,3.0,6.6,2.1,Iris-virginica\n4.9,2.5,4.5,1.7,Iris-virginica\n7.3,2.9,6.3,1.8,Iris-virginica\n6.7,2.5,5.8,1.8,Iris-virginica\n7.2,3.6,6.1,2.5,Iris-virginica\n6.5,3.2,5.1,2.0,Iris-virginica\n6.4,2.7,5.3,1.9,Iris-virginica\n6.8,3.0,5.5,2.1,Iris-virginica\n5.7,2.5,5.0,2.0,Iris-virginica\n5.8,2.8,5.1,2.4,Iris-virginica\n6.4,3.2,5.3,2.3,Iris-virginica\n6.5,3.0,5.5,1.8,Iris-virginica\n7.7,3.8,6.7,2.2,Iris-virginica\n7.7,2.6,6.9,2.3,Iris-virginica\n6.0,2.2,5.0,1.5,Iris-virginica\n6.9,3.2,5.7,2.3,Iris-virginica\n5.6,2.8,4.9,2.0,Iris-virginica\n7.7,2.8,6.7,2.0,Iris-virginica\n6.3,2.7,4.9,1.8,Iris-virginica\n6.7,3.3,5.7,2.1,Iris-virginica\n7.2,3.2,6.0,1.8,Iris-virginica\n6.2,2.8,4.8,1.8,Iris-virginica\n6.1,3.0,4.9,1.8,Iris-virginica\n6.4,2.8,5.6,2.1,Iris-virginica\n7.2,3.0,5.8,1.6,Iris-virginica\n7.4,2.8,6.1,1.9,Iris-virginica\n7.9,3.8,6.4,2.0,Iris-virginica\n6.4,2.8,5.6,2.2,Iris-virginica\n6.3,2.8,5.1,1.5,Iris-virginica\n6.1,2.6,5.6,1.4,Iris-virginica\n7.7,3.0,6.1,2.3,Iris-virginica\n6.3,3.4,5.6,2.4,Iris-virginica\n6.4,3.1,5.5,1.8,Iris-virginica\n6.0,3.0,4.8,1.8,Iris-virginica\n6.9,3.1,5.4,2.1,Iris-virginica\n6.7,3.1,5.6,2.4,Iris-virginica\n6.9,3.1,5.1,2.3,Iris-virginica\n5.8,2.7,5.1,1.9,Iris-virginica\n6.8,3.2,5.9,2.3,Iris-virginica\n6.7,3.3,5.7,2.5,Iris-virginica\n6.7,3.0,5.2,2.3,Iris-virginica\n6.3,2.5,5.0,1.9,Iris-virginica\n6.5,3.0,5.2,2.0,Iris-virginica\n6.2,3.4,5.4,2.3,Iris-virginica\n5.9,3.0,5.1,1.8,Iris-virginica\n"
  },
  {
    "path": "napkin_ml/data/temp_linkoping.txt",
    "content": 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  },
  {
    "path": "napkin_ml/examples/__init__.py",
    "content": ""
  },
  {
    "path": "napkin_ml/examples/kmeans.py",
    "content": "from __future__ import print_function\nimport numpy as np\nimport matplotlib.pyplot as plt\n\nfrom napkin_ml import KMeans, PCA\nfrom napkin_ml.utils import Plot, load_iris, train_test_split\n\ndef main():\n    data = load_iris()\n    X = data['data']\n    y = data['target'].astype('int')\n\n    kmeans = KMeans()\n    clusters = kmeans.fit(X, k=3)\n\n    Plot().plot_in_2d(X, clusters, \"K-Means\")\n\nif __name__ == \"__main__\":\n    main()\n"
  },
  {
    "path": "napkin_ml/examples/knn.py",
    "content": "from __future__ import print_function\nimport numpy as np\nimport matplotlib.pyplot as plt\n\nfrom napkin_ml import KNN, PCA\nfrom napkin_ml.utils import Plot, load_iris, train_test_split\n\ndef main():\n    data = load_iris()\n    X = data['data']\n    y = data['target'].astype('int')\n\n    X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.33)\n\n    clf = KNN()\n    y_pred = clf.predict(5, X_test, X_train, y_train)\n\n    accuracy = np.mean(y_pred == y_test)\n\n    print (\"Accuracy:\", accuracy)\n\n    Plot().plot_in_2d(X, y,\n        title=\"K-Nearest Neighbors\",\n        accuracy=accuracy,\n        legend_labels=data['target_names'])\n\nif __name__ == \"__main__\":\n    main()\n"
  },
  {
    "path": "napkin_ml/examples/lda.py",
    "content": "from __future__ import print_function\nimport numpy as np\nimport matplotlib.pyplot as plt\n\nfrom napkin_ml import LDA, PCA\nfrom napkin_ml.utils import Plot, train_test_split, load_iris\n\ndef main():\n    data = load_iris()\n    X = data['data']\n    y = data['target']\n\n    # Reduce to two classes\n    X = X[y != 2]\n    y = y[y != 2]\n\n    X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.33)\n\n    clf = LDA()\n    clf.fit(X_train, y_train)\n    y_pred = clf.predict(X_test)\n\n    accuracy = np.mean(y_pred == y_test)\n\n    print (\"Accuracy:\", accuracy)\n\n    Plot().plot_in_2d(X, y,\n        title=\"Linear Discriminant Analysis\",\n        accuracy=accuracy,\n        legend_labels=data['target_names'])\n\nif __name__ == \"__main__\":\n    main()\n"
  },
  {
    "path": "napkin_ml/examples/linear_regression.py",
    "content": "from __future__ import print_function\nimport numpy as np\nimport sys\nimport matplotlib.pyplot as plt\n\nfrom napkin_ml.utils import load_regression, train_test_split\n\nfrom napkin_ml import LinearRegression\n\ndef main():\n\n    data = load_regression()\n\n    X = data['data'][:-150]\n    y = data['target'][:-150]\n\n    # Insert constant ones for bias\n    X = np.insert(X, 0, 1, axis=1)\n\n    X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.4)\n\n    n_samples, n_features = np.shape(X)\n\n    model = LinearRegression()\n\n    model.fit(X_train, y_train)\n\n    y_pred = model.predict(X_test)\n    mse = (np.mean(y_test - y_pred)**2)\n    # Print MSE\n    print ('Mean Squared Error: %.4f' % mse)\n\n    y_pred_line = model.predict(X)\n\n    X = X[:, 1]\n    X_train = X_train[:, 1]\n    X_test = X_test[:, 1]\n\n    # Color map\n    cmap = plt.get_cmap('viridis')\n\n    # Plot the results\n    m1 = plt.scatter(366 * X_train, y_train, color=cmap(0.9), s=10)\n    m2 = plt.scatter(366 * X_test, y_test, color=cmap(0.5), s=10)\n    plt.plot(366 * X, y_pred_line, color='black', linewidth=2, label=\"Prediction\")\n    plt.suptitle(\"Linear Regression\")\n    plt.title(\"MSE: %.2f\" % mse, fontsize=10)\n    plt.legend((m1, m2), (\"Training data\", \"Test data\"), loc='lower right')\n    plt.show()\n\nif __name__ == \"__main__\":\n    main()\n"
  },
  {
    "path": "napkin_ml/examples/logistic_regression.py",
    "content": "from __future__ import print_function\nimport numpy as np\nimport matplotlib.pyplot as plt\nimport pandas as pd\n\nfrom napkin_ml import LogisticRegression, PCA\nfrom napkin_ml.utils import Plot, load_iris, train_test_split\n\n\ndef main():\n    # Load dataset\n    data = load_iris()\n\n    X = data['data']\n    y = data['target']\n\n    # Reduce to two classes\n    X = X[y != 0]\n    y = y[y != 0]\n    y -= 1\n\n    X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.33)\n\n    clf = LogisticRegression()\n    clf.fit(X_train, y_train)\n    y_pred = np.rint(clf.predict(X_test))\n\n    accuracy = np.mean(y_pred == y_test)\n    print (\"Accuracy:\", accuracy)\n\n    Plot().plot_in_2d(X, y,\n        title=\"Logistic Regression\",\n        accuracy=accuracy,\n        legend_labels=data['target_names'])\n\n\nif __name__ == \"__main__\":\n    main()\n"
  },
  {
    "path": "napkin_ml/examples/mlp.py",
    "content": "from __future__ import print_function\nimport numpy as np\nimport matplotlib.pyplot as plt\n\nfrom napkin_ml import MLP, PCA\nfrom napkin_ml.utils import Plot, load_iris, normalize, train_test_split\n\ndef main():\n    data = load_iris()\n\n    X = normalize(data['data'])\n    y = data['target']\n\n    # One-hot\n    y = np.zeros((data['target'].shape[0], 3))\n    y[np.arange(data['target'].shape[0]).astype('int'), data['target'].astype('int')] = 1\n\n    X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.33)\n\n    clf = MLP()\n    clf.fit(X_train, y_train, n_epochs=1000, lr=0.01, n_units=16)\n\n    y_pred = np.argmax(clf.predict(X_test), axis=1)\n    y_test = np.argmax(y_test, axis=1)\n    accuracy = np.mean(y_pred == y_test)\n\n    y = np.argmax(y, axis=1)\n\n    print (\"Accuracy:\", accuracy)\n\n    Plot().plot_in_2d(X, y,\n        title=\"Multilayer Perceptron\",\n        accuracy=accuracy,\n        legend_labels=data['target_names'])\n\nif __name__ == \"__main__\":\n    main()\n"
  },
  {
    "path": "napkin_ml/examples/pca.py",
    "content": "from __future__ import print_function\nfrom sklearn import datasets\nimport matplotlib.pyplot as plt\nimport matplotlib.cm as cmx\nimport matplotlib.colors as colors\nimport pandas as pd\nimport numpy as np\n\nfrom napkin_ml import PCA\nfrom napkin_ml.utils import load_digits\n\ndef main():\n\n    # Demo of how to reduce the dimensionality of the data to two dimension\n    # and plot the results.\n\n    # Load the dataset\n    data = load_digits()\n\n    X = data['data']\n    y = data['target']\n\n    # Project the data onto the 2 primary principal components\n    X_trans = PCA().transform(X, 2)\n\n    x1 = X_trans[:, 0]\n    x2 = X_trans[:, 1]\n\n    cmap = plt.get_cmap('viridis')\n    colors = [cmap(i) for i in np.linspace(0, 1, len(np.unique(y)))]\n\n    class_distr = []\n    # Plot the different class distributions\n    for i, l in enumerate(np.unique(y)):\n        _x1 = x1[y == l]\n        _x2 = x2[y == l]\n        _y = y[y == l]\n        class_distr.append(plt.scatter(_x1, _x2, color=colors[i]))\n\n    # Add a legend\n    plt.legend(class_distr, y, loc=1)\n\n    # Axis labels\n    plt.suptitle(\"Principal Component Analysis\")\n    plt.title(\"Digit dataset\")\n    plt.xlabel('Principal Component 1')\n    plt.ylabel('Principal Component 2')\n    plt.show()\n\n\nif __name__ == \"__main__\":\n    main()\n"
  },
  {
    "path": "napkin_ml/models.py",
    "content": "import numpy as np\nimport random\nfrom scipy.special import expit as sigmoid\nfrom scipy.spatial.distance import cdist\nfrom scipy.linalg import svd\n\n\ndef softmax(x):\n    e_x = np.exp(x - np.max(x, axis=-1, keepdims=True))\n    return e_x / np.sum(e_x, axis=-1, keepdims=True)\n\n\nclass LinearRegression:\n    def fit(self, X, y):\n        self.w = np.linalg.lstsq(X, y, rcond=None)[0]\n    def predict(self, X):\n        return X.dot(self.w)\n\n\nclass KNN:\n    def predict(self, k, Xt, X, y):\n        idx = np.argsort(cdist(Xt, X))[:, :k]\n        y_pred = [np.bincount(y[i]).argmax() for i in idx]\n        return y_pred\n\n\nclass PCA:\n    def transform(self, X, dim):\n        _, S, V = np.linalg.svd(X - X.mean(0), full_matrices=True)\n        idx = S.argsort()[::-1][:dim]\n        return X.dot(V[idx].T)\n\n\nclass LDA:\n    def fit(self, X, y):\n        cov_sum = sum([np.cov(X[y == val], rowvar=False) for val in [0, 1]])\n        mean_diff = X[y == 0].mean(0) - X[y == 1].mean(0)\n        self.w = np.linalg.inv(cov_sum).dot(mean_diff)\n    def predict(self, X):\n        return 1 * (X.dot(self.w) < 0)\n\n\nclass LogisticRegression:\n    def fit(self, X, y, n_iter=4000, lr=0.01):\n        self.w = np.random.rand(X.shape[1])\n        for _ in range(n_iter):\n            self.w -= lr * (self.predict(X) - y).dot(X)\n    def predict(self, X):\n        return sigmoid(X.dot(self.w))\n\n\nclass MLP:\n    def fit(self, X, y, n_epochs=4000, lr=0.01, n_units=10):\n        self.w = np.random.rand(X.shape[1], n_units)\n        self.v = np.random.rand(n_units, y.shape[1])\n        for _ in range(n_epochs):\n            h_out = sigmoid(X.dot(self.w))\n            out = softmax(h_out.dot(self.v))\n            self.v -= lr * h_out.T.dot(out - y)\n            self.w -= lr * X.T.dot((out - y).dot(self.v.T) * (h_out * (1 - h_out)))\n    def predict(self, X):\n        return softmax(sigmoid(X.dot(self.w)).dot(self.v))\n\n\nclass KMeans:\n    def fit(self, X, k, n_iter=200):\n        centers = random.sample(list(X), k)\n        for _ in range(n_iter):\n            clusters = np.argmin(cdist(X, centers), axis=1)\n            centers = np.array([X[clusters == c].mean(0) for c in clusters])\n        return clusters\n"
  },
  {
    "path": "napkin_ml/utils/__init__.py",
    "content": "from .misc import *\n"
  },
  {
    "path": "napkin_ml/utils/misc.py",
    "content": "import progressbar\nfrom mpl_toolkits.mplot3d import Axes3D\nimport matplotlib.pyplot as plt\nimport matplotlib.cm as cmx\nimport matplotlib.colors as colors\nimport numpy as np\nimport pandas as pd\n\ndef normalize(X, axis=-1, order=2):\n    \"\"\" Normalize the dataset X \"\"\"\n    l2 = np.atleast_1d(np.linalg.norm(X, order, axis))\n    l2[l2 == 0] = 1\n    return X / np.expand_dims(l2, axis)\n\ndef min_max_scaler(X):\n    \"\"\"Min max scale the dataset X\n\n    Arguments:\n        X {list or array}\n\n    Returns:\n        Returns a numpy array\n    \"\"\"\n    arr = np.array(X)\n    return np.divide([x - arr.min() for x in arr],\n        (arr.max() - arr.min()))\n\n\ndef train_test_split(X, y, test_size=0.5, shuffle=True, seed=None):\n    \"\"\" Split the data into train and test sets \"\"\"\n    if shuffle:\n        X, y = shuffle_data(X, y, seed)\n    # Split the training data from test data in the ratio specified in\n    # test_size\n    split_i = len(y) - int(len(y) // (1 / test_size))\n    X_train, X_test = X[:split_i], X[split_i:]\n    y_train, y_test = y[:split_i], y[split_i:]\n\n    return X_train, X_test, y_train, y_test\n\ndef shuffle_data(X, y, seed=None):\n    \"\"\" Random shuffle of the samples in X and y \"\"\"\n    if seed:\n        np.random.seed(seed)\n    idx = np.arange(X.shape[0])\n    np.random.shuffle(idx)\n    return X[idx], y[idx]\n\ndef load_regression():\n    data = pd.read_csv('napkin_ml/data/temp_linkoping.txt', sep=\"\\t\")\n\n    time = np.atleast_2d(data[\"time\"].as_matrix()).T\n    temp = data[\"temp\"].as_matrix()\n\n    return {'data': time, 'target': temp}\n\ndef load_iris():\n    df = pd.read_csv('napkin_ml/data/iris.csv', index_col=False)\n\n    X = df.iloc[:, :-1].values\n    y = df.iloc[:, -1].values\n\n    labels = [\n        'Iris-setosa',\n        'Iris-versicolor',\n        'Iris-virginica'\n    ]\n\n    for i, label in enumerate(labels):\n        y[y == label] = i\n\n    return {'data': X, 'target': y.astype('float'), 'target_names': labels}\n\ndef load_digits():\n    df = pd.read_csv('napkin_ml/data/digits.csv', index_col=False)\n\n    X = df.iloc[:, :-1].values\n    y = df.iloc[:, -1].values\n\n    return {'data': X, 'target': y.astype('float'), 'target_names': y}\n\nclass Plot():\n    def __init__(self):\n        self.cmap = plt.get_cmap('viridis')\n\n    def _transform(self, X, dim):\n        e_val, e_vec = np.linalg.eig(np.cov(X, rowvar=False))\n        idx = e_val.argsort()[::-1]\n        e_vec = e_vec[:, idx][:, :dim]\n        return X.dot(e_vec)\n\n    # Plot the dataset X and the corresponding labels y in 2D using PCA.\n    def plot_in_2d(self, X, y=None, title=None, accuracy=None, legend_labels=None):\n        X_transformed = self._transform(X, dim=2)\n        x1 = X_transformed[:, 0]\n        x2 = X_transformed[:, 1]\n        class_distr = []\n\n        y = np.array(y).astype(int)\n\n        colors = [self.cmap(i) for i in np.linspace(0, 1, len(np.unique(y)))]\n\n        # Plot the different class distributions\n        for i, l in enumerate(np.unique(y)):\n            _x1 = x1[y == l]\n            _x2 = x2[y == l]\n            _y = y[y == l]\n            class_distr.append(plt.scatter(_x1, _x2, color=colors[i]))\n\n        # Plot legend\n        if not legend_labels is None:\n            plt.legend(class_distr, legend_labels, loc=1)\n\n        # Plot title\n        if title:\n            if accuracy:\n                perc = 100 * accuracy\n                plt.suptitle(title)\n                plt.title(\"Accuracy: %.1f%%\" % perc, fontsize=10)\n            else:\n                plt.title(title)\n\n        # Axis labels\n        plt.xlabel('Principal Component 1')\n        plt.ylabel('Principal Component 2')\n\n        plt.show()\n"
  },
  {
    "path": "requirements.txt",
    "content": "matplotlib\nnumpy\nscipy\nprogressbar\npandas\n"
  },
  {
    "path": "setup.py",
    "content": "from setuptools import setup, find_packages\nfrom codecs import open\nfrom os import path\n\n__version__ = '0.0.1'\n\nhere = path.abspath(path.dirname(__file__))\n\n# get the dependencies and installs\nwith open(path.join(here, 'requirements.txt'), encoding='utf-8') as f:\n    all_reqs = f.read().split('\\n')\n\ninstall_requires = [x.strip() for x in all_reqs if 'git+' not in x]\ndependency_links = [x.strip().replace('git+', '') for x in all_reqs if x.startswith('git+')]\n\nsetup(\n    name='napkinml',\n    version=__version__,\n    description='Pocket-sized implementations of machine learning models.',\n    url='https://github.com/eriklindernoren/NapkinML',\n    download_url='https://github.com/eriklindernoren/NapkinML/tarball/master',\n    license='MIT',\n    packages=find_packages(),\n    include_package_data=True,\n    author='Erik Linder-Noren',\n    install_requires=install_requires,\n    setup_requires=['numpy>=1.10', 'scipy>=0.17'],\n    dependency_links=dependency_links,\n    author_email='eriklindernoren@gmail.com'\n)\n"
  }
]