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Repository: eriklindernoren/NapkinML
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Directory structure:
gitextract_h9sfpovp/
├── .gitignore
├── LICENSE
├── README.md
├── napkin_ml/
│ ├── __init__.py
│ ├── data/
│ │ ├── digits.csv
│ │ ├── iris.csv
│ │ └── temp_linkoping.txt
│ ├── examples/
│ │ ├── __init__.py
│ │ ├── kmeans.py
│ │ ├── knn.py
│ │ ├── lda.py
│ │ ├── linear_regression.py
│ │ ├── logistic_regression.py
│ │ ├── mlp.py
│ │ └── pca.py
│ ├── models.py
│ └── utils/
│ ├── __init__.py
│ └── misc.py
├── requirements.txt
└── setup.py
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FILE CONTENTS
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FILE: .gitignore
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*~
\.DS_STORE
build/
dist/
*egg-info*
*__pycache__/
*.py[cod]
*eggs*
*\.png
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FILE: LICENSE
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MIT License
Copyright (c) 2017 Erik Linder-Norén
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.
================================================
FILE: README.md
================================================
# NapkinML
## About
Pocket-sized implementations of machine learning models, most of which will fit in a tweet.
## Table of Contents
- [NapkinML](#napkinml)
* [About](#about)
* [Table of Contents](#table-of-contents)
* [Installation](#installation)
* [Implementations](#implementations)
+ [K-Means](#k-means)
+ [K-Nearest Neighbors](#k-nearest-neighbors)
+ [Linear Regression](#linear-regression)
+ [Linear Discriminant Analysis](#linear-discriminant-analysis)
+ [Logistic Regression](#logistic-regression)
+ [Multilayer Perceptron](#multilayer-perceptron)
+ [Principal Component Analysis](#principal-component-analysis)
## Installation
$ git clone https://github.com/eriklindernoren/NapkinML
$ cd NapkinML
$ sudo python setup.py install
## Implementations
### K-Means
```python
class KMeans:
def fit(self, X, k, n_iter=200):
centers = random.sample(list(X), k)
for i in range(n_iter):
clusters = np.argmin(cdist(X, centers), axis=1)
centers = np.array([X[clusters == c].mean(0) for c in clusters])
return clusters
```
```
$ python napkin_ml/examples/kmeans.py
```
<p align="center">
<img src="http://eriklindernoren.se/images/napkin_kmeans.png" width="640">
</p>
<p align="center">
Figure: K-Means clustering of the Iris dataset.
</p>
### K-Nearest Neighbors
```python
class KNN:
def predict(self, k, Xt, X, y):
idx = np.argsort(cdist(Xt, X))[:, :k]
y_pred = [np.bincount(y[i]).argmax() for i in idx]
return y_pred
```
```
$ python napkin_ml/examples/knn.py
```
<p align="center">
<img src="http://eriklindernoren.se/images/napkin_knn.png" width="640">
</p>
<p align="center">
Figure: Classification of the Iris dataset with K-Nearest Neighbors.
</p>
### Linear Regression
```python
class LinearRegression:
def fit(self, X, y):
self.w = np.linalg.lstsq(X, y, rcond=None)[0]
def predict(self, X):
return X.dot(self.w)
```
```
$ python napkin_ml/examples/linear_regression.py
```
<p align="center">
<img src="http://eriklindernoren.se/images/napkin_linreg.png" width="640">
</p>
<p align="center">
Figure: Linear Regression.
</p>
### Linear Discriminant Analysis
```python
class LDA:
def fit(self, X, y):
cov_sum = sum([np.cov(X[y == val], rowvar=False) for val in [0, 1]])
mean_diff = X[y == 0].mean(0) - X[y == 1].mean(0)
self.w = np.linalg.inv(cov_sum).dot(mean_diff)
def predict(self, X):
return 1 * (X.dot(self.w) < 0)
```
### Logistic Regression
```python
class LogisticRegression:
def fit(self, X, y, n_iter=4000, lr=0.01):
self.w = np.random.rand(X.shape[1])
for _ in range(n_iter):
self.w -= lr * (self.predict(X) - y).dot(X)
def predict(self, X):
return sigmoid(X.dot(self.w))
```
```
$ python napkin_ml/examples/logistic_regression.py
```
<p align="center">
<img src="http://eriklindernoren.se/images/napkin_logreg.png" width="640">
</p>
<p align="center">
Figure: Classification with Logistic Regression.
</p>
### Multilayer Perceptron
```python
class MLP:
def fit(self, X, y, n_epochs=4000, lr=0.01, n_units=10):
self.w = np.random.rand(X.shape[1], n_units)
self.v = np.random.rand(n_units, y.shape[1])
for _ in range(n_epochs):
h_out = sigmoid(X.dot(self.w))
out = softmax(h_out.dot(self.v))
self.v -= lr * h_out.T.dot(out - y)
self.w -= lr * X.T.dot((out - y).dot(self.v.T) * (h_out * (1 - h_out)))
def predict(self, X):
return softmax(sigmoid(X.dot(self.w)).dot(self.v))
```
```
$ python napkin_ml/examples/mlp.py
```
<p align="center">
<img src="http://eriklindernoren.se/images/napkin_mlp1.png" width="640">
</p>
<p align="center">
Figure: Classification of the Iris dataset with a Multilayer Perceptron <br> with one hidden layer.
</p>
### Principal Component Analysis
```python
class PCA:
def transform(self, X, dim):
_, S, V = np.linalg.svd(X - X.mean(0), full_matrices=True)
idx = S.argsort()[::-1][:dim]
return X.dot(V[idx].T)
```
```
$ python napkin_ml/examples/pca.py
```
<p align="center">
<img src="http://eriklindernoren.se/images/napkin_pca.png" width="640">
</p>
<p align="center">
Figure: Dimensionality reduction with Principal Component Analysis.
</p>
================================================
FILE: napkin_ml/__init__.py
================================================
from .models import *
================================================
FILE: napkin_ml/data/digits.csv
================================================
0,1,6,15,12,1,0,0,0,7,16,6,6,10,0,0,0,8,16,2,0,11,2,0,0,5,16,3,0,5,7,0,0,7,13,3,0,8,7,0,0,4,12,0,1,13,5,0,0,0,14,9,15,9,0,0,0,0,6,14,7,1,0,0,0
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0,0,6,16,12,2,0,0,0,6,16,9,11,11,0,0,0,7,14,0,5,14,0,0,0,3,6,0,7,11,0,0,0,0,0,0,14,7,0,0,0,0,0,8,15,0,0,0,0,0,4,16,10,4,3,0,0,0,7,16,13,14,16,3,2
0,0,8,14,2,0,0,0,0,0,5,16,6,0,0,0,0,0,0,16,11,0,0,0,0,0,2,16,15,0,0,0,0,0,0,14,16,2,0,0,0,0,0,1,16,9,0,0,0,0,5,15,16,15,12,8,0,0,4,15,16,13,12,12,1
0,0,0,4,11,16,11,0,0,0,6,13,3,3,15,0,0,0,14,2,4,14,11,0,0,0,12,16,15,15,8,0,0,0,0,2,0,14,2,0,0,0,0,0,4,11,0,0,0,0,0,0,14,4,0,0,0,0,0,3,10,0,0,0,9
0,0,0,0,9,15,12,0,0,0,2,14,9,6,16,1,0,0,12,4,1,12,11,0,0,4,15,7,13,16,3,0,0,2,12,11,1,15,0,0,0,0,0,0,5,11,0,0,0,0,0,0,8,8,0,0,0,0,0,0,9,7,0,0,9
0,0,2,13,5,0,0,0,0,0,11,15,0,0,0,0,0,1,16,2,0,0,0,0,0,2,16,8,6,2,0,0,0,5,16,9,10,15,2,0,0,0,16,4,0,9,8,0,0,0,11,10,3,16,6,0,0,0,4,15,12,9,1,0,6
0,0,0,1,10,16,4,0,0,0,1,13,16,16,3,0,0,0,11,15,9,16,3,0,0,11,16,9,14,13,0,0,0,10,16,16,16,16,9,0,0,1,4,4,16,9,2,0,0,0,0,0,14,5,0,0,0,0,0,0,13,9,0,0,4
0,0,4,13,16,8,0,0,0,6,16,9,11,12,0,0,0,9,11,4,16,6,0,0,0,0,8,15,16,12,1,0,0,0,2,6,1,13,8,0,0,0,9,1,0,9,8,0,0,0,13,8,9,15,4,0,0,0,6,14,12,5,0,0,3
0,1,14,14,4,0,0,0,0,10,15,15,15,0,0,0,0,14,10,4,16,3,0,0,0,2,1,9,16,0,0,0,0,0,0,13,13,0,0,0,0,0,3,16,5,0,0,0,0,0,13,16,13,5,4,0,0,2,15,14,16,16,16,5,2
0,2,7,14,11,1,0,0,0,8,15,3,7,8,0,0,0,10,10,1,12,8,0,0,0,4,16,16,15,6,0,0,0,2,16,6,0,11,7,0,0,1,16,0,0,4,13,0,0,0,16,2,5,14,4,0,0,0,7,16,14,6,0,0,8
0,1,14,15,5,0,0,0,0,3,16,15,15,3,0,0,0,3,16,9,16,5,0,0,0,0,5,6,16,4,0,0,0,0,0,8,15,1,0,0,0,0,0,14,11,0,0,0,0,0,9,16,14,8,7,0,0,0,15,16,16,16,16,6,2
0,0,1,8,14,14,6,0,0,0,3,11,7,12,14,0,0,0,0,0,0,9,11,0,0,1,12,12,12,15,8,0,0,0,7,8,14,13,1,0,0,0,0,4,15,2,0,0,0,0,0,13,6,0,0,0,0,0,1,14,2,0,0,0,7
0,0,0,1,15,9,1,0,0,0,0,5,16,16,0,0,0,0,0,13,16,11,0,0,0,2,8,16,16,11,0,0,0,5,12,13,16,8,0,0,0,0,0,5,16,7,0,0,0,0,0,7,16,4,0,0,0,0,0,3,16,15,1,0,1
0,0,0,4,15,6,0,0,0,0,3,15,9,4,14,0,0,2,15,9,0,11,10,0,0,7,16,10,12,16,14,0,0,3,14,13,15,14,2,0,0,0,0,0,12,10,0,0,0,0,0,2,16,6,0,0,0,0,0,6,13,1,0,0,4
0,0,2,13,6,0,0,0,0,0,10,14,6,0,0,0,0,0,15,6,0,0,0,0,0,0,16,3,0,0,0,0,0,0,14,16,16,12,1,0,0,2,16,13,3,9,10,0,0,0,8,14,4,13,13,0,0,0,2,12,14,12,4,0,6
0,0,11,16,6,0,0,0,0,2,16,14,14,1,0,0,0,6,16,2,15,6,0,0,0,2,11,0,15,5,0,0,0,0,0,0,16,5,0,0,0,0,0,4,16,2,0,0,0,0,6,15,15,8,8,3,0,0,12,16,15,16,16,6,2
0,0,7,14,6,0,0,0,0,5,16,9,13,3,0,0,0,8,12,0,5,12,0,0,0,4,12,0,0,11,6,0,0,6,12,0,0,9,7,0,0,1,15,0,1,15,5,0,0,0,13,7,13,11,0,0,0,0,4,15,11,0,0,0,0
0,0,0,0,8,12,5,0,0,0,0,10,11,11,9,0,0,0,11,10,0,16,1,0,0,6,16,13,12,15,4,0,0,2,8,8,12,14,4,0,0,0,0,0,12,4,0,0,0,0,0,0,13,1,0,0,0,0,0,0,11,0,0,0,4
0,0,1,12,11,0,0,0,0,0,8,14,3,0,0,0,0,1,14,5,0,0,0,0,0,1,16,9,4,0,0,0,0,3,16,13,12,12,3,0,0,1,16,3,0,1,15,0,0,0,9,9,2,9,15,2,0,0,2,14,15,12,3,0,6
0,2,11,15,16,8,0,0,0,4,9,1,5,16,4,0,0,0,0,5,13,13,0,0,0,0,4,16,16,5,0,0,0,0,0,2,7,14,2,0,0,0,2,0,0,11,7,0,0,6,10,1,8,14,2,0,0,3,14,15,11,3,0,0,3
0,0,5,12,14,16,5,0,0,6,16,15,10,16,6,0,0,0,3,0,3,16,2,0,0,0,1,4,14,13,2,0,0,7,16,16,16,16,11,0,0,4,9,14,12,1,1,0,0,0,0,16,8,0,0,0,0,0,4,16,5,0,0,0,7
0,0,0,0,13,5,0,0,0,0,0,3,16,13,0,0,0,0,0,10,16,12,0,0,0,6,16,16,16,8,0,0,0,4,8,6,16,5,0,0,0,0,0,4,16,4,0,0,0,0,0,4,16,8,0,0,0,0,0,0,12,13,5,0,1
0,0,10,8,11,2,0,0,0,0,16,15,8,13,2,0,0,4,16,4,0,9,7,0,0,7,14,0,0,3,8,0,0,8,12,0,0,7,8,0,0,6,6,0,3,15,4,0,0,4,14,10,16,7,0,0,0,0,10,14,5,0,0,0,0
0,1,9,13,9,0,0,0,0,3,16,10,11,11,0,0,0,1,9,0,2,15,0,0,0,0,0,0,4,15,0,0,0,0,0,1,11,8,0,0,0,0,0,10,15,1,0,0,0,0,6,16,16,13,9,0,0,0,11,12,8,8,8,1,2
0,3,12,16,10,0,0,0,0,8,16,10,16,6,0,0,0,2,9,0,12,8,0,0,0,0,0,0,15,9,0,0,0,0,0,9,14,1,0,0,0,0,4,16,9,0,0,0,0,1,14,16,13,12,9,1,0,4,16,16,13,15,16,3,2
0,0,10,16,16,16,4,0,0,2,14,8,1,1,0,0,0,7,15,12,12,7,0,0,0,3,9,7,5,16,6,0,0,0,0,0,0,5,8,0,0,0,0,0,0,13,7,0,0,0,11,4,13,12,0,0,0,0,9,13,9,0,0,0,5
0,0,8,15,5,0,0,0,0,4,15,12,16,0,0,0,0,10,9,0,12,4,0,0,0,3,1,0,13,3,0,0,0,0,0,1,16,0,0,0,0,0,0,6,11,0,0,0,0,0,5,16,16,16,15,0,0,0,9,10,4,6,9,0,2
0,0,0,0,11,2,0,0,0,0,0,8,12,0,0,0,0,0,2,15,4,4,8,0,0,1,13,8,0,10,10,0,0,9,16,8,9,16,7,0,0,6,12,12,13,14,1,0,0,0,0,0,14,8,0,0,0,0,0,3,16,4,0,0,4
0,0,5,12,16,12,0,0,0,2,16,10,8,16,4,0,0,7,16,8,2,16,4,0,0,0,5,15,16,10,0,0,0,0,0,12,16,8,0,0,0,0,6,12,5,16,4,0,0,0,8,12,6,16,6,0,0,0,5,15,15,9,0,0,8
0,0,0,6,14,11,1,0,0,0,2,14,16,16,2,0,0,0,11,16,16,16,0,0,0,5,15,16,16,16,4,0,0,1,5,7,16,16,2,0,0,0,0,3,16,16,3,0,0,0,0,4,16,16,4,0,0,0,0,4,15,15,4,0,1
0,0,5,10,16,15,6,0,0,0,12,9,8,15,12,0,0,0,0,0,1,16,5,0,0,2,15,12,13,15,2,0,0,2,11,11,15,10,5,0,0,0,0,11,7,0,0,0,0,0,4,16,1,0,0,0,0,0,9,12,0,0,0,0,7
0,0,10,13,15,12,5,0,0,0,9,5,5,13,7,0,0,0,0,1,11,13,0,0,0,0,5,16,16,3,0,0,0,0,2,10,12,15,7,0,0,0,0,0,1,16,4,0,0,0,2,8,13,12,1,0,0,0,10,15,7,0,0,0,3
0,0,2,12,11,2,0,0,0,1,15,12,9,13,0,0,0,6,13,1,0,14,2,0,0,6,12,0,0,8,8,0,0,8,12,0,0,7,8,0,0,5,15,0,0,7,9,0,0,0,13,9,8,15,4,0,0,0,3,13,16,8,0,0,0
0,0,5,13,14,5,0,0,0,5,16,12,12,16,0,0,0,1,3,0,11,14,0,0,0,0,0,9,16,4,0,0,0,0,2,16,16,9,1,0,0,0,0,3,5,16,7,0,0,0,2,4,9,16,5,0,0,0,5,13,14,6,0,0,3
0,0,6,9,13,11,0,0,0,10,14,8,9,16,4,0,0,0,0,0,1,15,6,0,0,0,0,3,14,14,1,0,0,0,7,16,16,16,4,0,0,0,1,1,0,12,9,0,0,0,1,2,5,14,10,0,0,0,7,16,13,10,1,0,3
0,0,7,11,16,7,0,0,0,1,12,12,13,16,0,0,0,0,0,0,6,16,0,0,0,4,13,10,15,13,2,0,0,1,8,14,16,12,4,0,0,0,2,15,7,0,0,0,0,0,9,15,0,0,0,0,0,0,12,7,0,0,0,0,7
0,1,9,15,16,8,0,0,0,7,16,12,16,8,0,0,0,0,2,0,16,8,0,0,0,1,8,12,16,10,1,0,0,4,16,16,16,16,11,0,0,0,12,16,3,4,2,0,0,0,9,16,0,0,0,0,0,0,14,11,0,0,0,0,7
0,0,1,9,13,11,3,0,0,0,13,12,8,10,12,0,0,5,13,1,8,15,10,0,0,6,16,16,15,16,6,0,0,0,5,5,5,14,0,0,0,0,0,1,12,7,0,0,0,0,0,8,15,0,0,0,0,0,0,15,7,0,0,0,9
0,0,0,4,13,12,2,0,0,0,1,15,16,16,3,0,0,0,7,16,16,16,2,0,0,1,14,16,16,16,3,0,0,7,16,16,16,16,0,0,0,0,0,11,16,13,0,0,0,0,0,8,16,15,3,0,0,0,0,6,16,12,2,0,1
0,0,6,13,15,4,0,0,0,5,16,9,8,12,0,0,0,4,4,0,10,10,0,0,0,0,1,10,16,10,1,0,0,0,3,11,8,15,8,0,0,0,0,0,0,11,7,0,0,0,4,4,8,15,1,0,0,0,4,15,15,1,0,0,3
0,0,7,13,16,9,0,0,0,0,11,8,9,16,5,0,0,0,0,0,7,15,0,0,0,0,0,13,16,5,0,0,0,0,0,10,12,16,3,0,0,0,0,0,3,16,2,0,0,0,2,7,14,7,0,0,0,0,10,10,2,0,0,0,3
0,0,0,2,14,2,0,0,0,0,0,11,13,0,0,0,0,0,8,15,3,2,10,0,0,2,16,9,0,12,15,0,0,13,16,9,12,16,9,0,0,12,16,16,16,16,2,0,0,0,4,3,14,14,0,0,0,0,0,0,15,13,0,0,4
0,3,9,14,16,13,1,0,0,7,13,9,10,16,4,0,0,0,1,1,12,12,1,0,0,0,0,14,16,4,0,0,0,0,0,8,14,16,2,0,0,0,0,0,3,16,8,0,0,0,3,9,15,12,1,0,0,2,16,13,7,0,0,0,3
0,0,0,4,16,4,0,0,0,0,0,14,14,2,0,0,0,0,7,16,5,1,3,0,0,4,16,11,1,13,11,0,0,13,16,13,13,16,8,0,0,9,16,16,16,16,4,0,0,0,0,4,16,7,0,0,0,0,0,5,16,9,0,0,4
0,0,12,16,7,0,0,0,0,1,16,9,15,2,0,0,0,0,3,0,12,4,0,0,0,0,0,0,13,4,0,0,0,0,0,7,15,1,0,0,0,1,11,16,7,0,0,0,0,7,16,16,11,6,2,0,0,1,8,11,12,13,7,0,2
0,0,6,13,16,10,1,0,0,0,15,7,5,13,7,0,0,7,15,1,1,14,6,0,0,1,12,13,14,9,0,0,0,0,0,15,16,3,0,0,0,0,7,13,8,15,0,0,0,0,12,8,7,16,1,0,0,0,5,16,16,5,0,0,8
0,0,4,12,16,15,5,0,0,0,13,16,16,16,7,0,0,4,16,13,14,11,0,0,0,6,16,16,14,1,0,0,0,0,9,16,12,1,0,0,0,0,12,12,15,7,0,0,0,0,13,10,13,12,0,0,0,0,3,15,13,4,0,0,8
0,0,3,12,13,10,1,0,0,2,13,9,7,14,8,0,0,8,12,0,0,13,8,0,0,4,15,13,14,16,1,0,0,0,1,4,14,9,0,0,0,0,0,6,14,1,0,0,0,0,2,16,5,0,0,0,0,0,2,16,1,0,0,0,9
0,0,1,11,12,4,0,0,0,1,11,12,9,15,5,0,0,7,16,4,3,15,7,0,0,3,15,13,15,11,0,0,0,0,3,16,13,14,0,0,0,0,8,9,0,14,7,0,0,0,11,9,9,15,6,0,0,0,2,12,14,8,0,0,8
0,0,0,4,13,0,0,0,0,0,0,15,8,2,5,0,0,0,11,9,0,12,8,0,0,4,14,1,0,14,5,0,0,8,14,6,7,16,6,0,0,2,11,13,15,13,2,0,0,0,0,1,15,3,0,0,0,0,0,4,14,0,0,0,4
0,0,12,15,15,12,1,0,0,0,3,4,5,15,7,0,0,0,0,0,5,14,0,0,0,1,11,12,14,11,0,0,0,0,4,11,16,16,7,0,0,0,0,13,7,0,0,0,0,0,4,14,1,0,0,0,0,0,12,5,0,0,0,0,7
0,0,2,10,12,4,0,0,0,0,10,16,16,16,0,0,0,0,13,16,16,12,0,0,0,0,12,16,16,12,0,0,0,0,12,16,16,12,0,0,0,0,12,16,16,13,0,0,0,0,8,16,16,15,0,0,0,0,4,10,8,3,0,0,1
0,0,0,10,8,0,0,0,0,0,3,16,7,0,0,0,0,0,10,9,0,0,0,0,0,0,14,9,7,3,0,0,0,1,16,16,14,16,5,0,0,1,15,10,0,3,14,1,0,0,8,12,5,5,15,4,0,0,1,9,15,16,11,0,6
0,0,1,10,16,7,0,0,0,1,14,14,12,16,4,0,0,6,16,2,1,16,4,0,0,6,16,11,13,16,2,0,0,0,11,12,16,11,0,0,0,0,0,3,16,5,0,0,0,0,0,11,14,0,0,0,0,0,0,13,11,0,0,0,9
0,0,0,0,10,0,0,0,0,0,0,6,13,0,0,0,0,0,1,13,5,2,2,0,0,0,11,9,0,14,7,0,0,5,16,1,8,16,2,0,0,3,16,14,16,15,5,0,0,0,0,0,16,8,0,0,0,0,0,0,15,8,0,0,4
0,0,0,8,12,2,0,0,0,0,9,15,8,12,0,0,0,5,16,3,0,12,2,0,0,5,13,0,0,5,7,0,0,8,10,0,0,4,8,0,0,0,16,0,0,3,12,0,0,0,11,9,4,14,6,0,0,0,0,10,13,9,1,0,0
0,0,0,3,15,11,4,0,0,0,0,13,16,15,0,0,0,0,7,16,16,12,0,0,0,6,16,16,16,12,0,0,0,5,10,5,16,13,0,0,0,0,0,4,16,16,2,0,0,0,0,6,16,16,2,0,0,0,0,3,13,12,1,0,1
0,1,8,13,16,13,0,0,0,5,14,7,8,15,0,0,0,0,0,2,13,8,0,0,0,0,0,13,16,13,1,0,0,0,0,2,5,14,7,0,0,0,0,0,0,13,7,0,0,0,2,6,12,13,1,0,0,0,7,13,7,1,0,0,3
0,0,0,7,13,4,0,0,0,0,8,15,7,2,0,0,0,2,15,5,0,0,0,0,0,5,15,0,0,0,0,0,0,5,16,16,15,12,4,0,0,2,15,11,4,10,12,0,0,0,7,13,5,12,13,0,0,0,1,8,13,12,3,0,6
0,0,2,14,3,0,0,0,0,0,13,16,12,0,0,0,0,8,12,2,12,0,0,0,0,6,8,0,12,0,0,0,0,0,0,0,15,0,0,0,0,0,1,5,15,0,0,0,0,0,7,16,16,14,9,0,0,0,2,12,12,12,11,0,2
0,0,0,2,13,1,0,0,0,0,1,15,11,0,0,0,0,0,8,15,2,2,0,0,0,1,16,7,3,16,3,0,0,7,16,10,10,16,4,0,0,5,12,13,16,15,2,0,0,0,0,1,14,10,0,0,0,0,0,0,15,11,0,0,4
0,0,11,16,16,16,3,0,0,1,12,12,13,16,5,0,0,0,0,0,7,16,2,0,0,0,5,13,16,15,1,0,0,0,12,16,16,16,10,0,0,0,1,13,10,4,1,0,0,0,8,16,2,0,0,0,0,0,15,11,0,0,0,0,7
0,0,0,7,15,1,0,0,0,0,2,14,11,0,0,0,0,0,8,16,4,1,7,0,0,5,16,9,0,12,15,0,0,11,16,14,12,16,9,0,0,6,12,12,16,16,1,0,0,0,0,5,16,8,0,0,0,0,0,10,12,0,0,0,4
0,0,2,13,9,0,0,0,0,2,16,15,14,6,0,0,0,8,16,5,3,15,0,0,0,7,16,1,0,11,7,0,0,6,12,0,0,8,8,0,0,0,16,2,0,7,10,0,0,0,12,12,7,15,5,0,0,0,0,13,16,9,0,0,0
0,2,14,16,14,2,0,0,0,9,15,9,16,8,0,0,0,1,3,1,16,6,0,0,0,0,0,5,16,3,0,0,0,0,0,13,13,0,0,0,0,0,7,16,3,0,0,0,0,2,15,16,10,12,6,0,0,4,16,16,16,16,11,0,2
0,0,8,15,16,14,5,0,0,5,16,4,6,16,8,0,0,7,16,4,9,15,3,0,0,0,12,16,16,3,0,0,0,0,3,15,16,9,0,0,0,0,13,6,6,16,4,0,0,0,16,8,8,16,6,0,0,0,11,16,13,8,0,0,8
0,4,14,14,16,16,4,0,0,5,16,11,5,4,0,0,0,4,16,4,0,0,0,0,0,6,16,16,16,11,0,0,0,4,11,6,7,16,4,0,0,0,0,0,4,16,4,0,0,0,1,7,15,12,0,0,0,4,16,12,5,0,0,0,5
0,0,0,9,15,10,1,0,0,0,4,15,16,16,4,0,0,4,15,16,16,16,4,0,0,8,15,10,16,16,8,0,0,0,0,0,16,16,7,0,0,0,0,1,16,16,6,0,0,0,0,7,16,16,4,0,0,0,0,6,12,12,1,0,1
0,0,5,16,10,1,0,0,0,11,14,13,14,12,0,0,0,12,16,4,3,15,5,0,0,11,12,1,0,7,9,0,0,9,10,0,0,3,14,0,0,6,14,0,0,9,16,0,0,0,14,9,9,16,11,0,0,0,5,15,16,15,1,0,0
0,0,0,0,11,15,2,0,0,0,0,7,16,16,7,0,0,0,3,15,16,16,4,0,0,6,16,16,16,16,3,0,0,3,8,6,16,16,0,0,0,0,0,4,16,16,0,0,0,0,0,4,16,16,4,0,0,0,0,1,13,16,3,0,1
0,0,3,12,15,4,0,0,0,0,14,12,13,14,2,0,0,1,16,0,8,16,10,0,0,5,15,13,16,16,8,0,0,1,8,9,11,16,5,0,0,0,0,2,15,10,0,0,0,0,0,10,14,2,0,0,0,0,3,14,5,0,0,0,9
0,0,0,10,13,1,0,0,0,0,8,16,12,2,0,0,0,1,15,10,0,0,0,0,0,6,16,7,5,0,0,0,0,2,16,16,16,15,3,0,0,2,16,12,0,7,13,0,0,0,11,10,4,10,16,2,0,0,2,11,15,14,9,0,6
0,0,1,8,16,14,1,0,0,0,11,13,7,15,7,0,0,2,15,2,0,9,12,0,0,6,15,9,13,16,8,0,0,0,6,12,13,16,2,0,0,0,0,0,12,10,0,0,0,0,0,8,15,1,0,0,0,0,0,13,7,0,0,0,9
0,0,2,12,15,2,0,0,0,0,8,14,4,1,0,0,0,0,15,7,0,0,0,0,0,2,16,6,4,2,0,0,0,3,16,16,15,15,4,0,0,2,15,11,0,4,14,0,0,0,11,9,0,3,16,0,0,0,2,13,16,16,12,0,6
0,0,4,12,14,9,1,0,0,1,16,13,9,16,7,0,0,7,16,1,4,16,4,0,0,8,13,4,12,16,4,0,0,2,14,14,16,9,0,0,0,0,0,7,16,2,0,0,0,0,1,14,11,0,0,0,0,0,4,16,5,0,0,0,9
0,1,11,13,13,12,7,0,0,2,16,6,4,10,9,0,0,2,16,2,0,0,0,0,0,4,16,16,16,4,0,0,0,1,10,5,7,12,0,0,0,0,0,0,5,11,0,0,0,0,1,5,14,3,0,0,0,0,15,14,7,0,0,0,5
0,0,0,11,11,0,0,0,0,0,3,16,7,8,11,0,0,0,14,14,0,16,12,0,0,7,16,7,9,16,9,0,0,8,16,16,16,16,11,0,0,1,4,10,16,8,0,0,0,0,0,9,15,0,0,0,0,0,0,9,11,0,0,0,4
0,0,11,10,8,14,10,0,0,1,16,14,12,12,7,0,0,0,16,8,0,0,0,0,0,5,16,16,10,2,0,0,0,2,8,8,12,15,1,0,0,0,0,0,5,16,3,0,0,0,5,9,16,10,0,0,0,2,12,12,4,0,0,0,5
0,0,0,7,14,15,3,0,0,0,11,16,9,15,10,0,0,5,14,3,4,14,10,0,0,7,15,10,16,16,4,0,0,2,11,11,10,16,1,0,0,0,0,0,11,11,0,0,0,0,0,5,16,7,0,0,0,0,0,10,15,0,0,0,9
0,1,13,11,11,13,5,0,0,8,16,9,8,8,1,0,0,4,16,0,0,0,0,0,0,4,16,16,14,6,0,0,0,2,11,8,9,16,4,0,0,0,0,0,0,12,8,0,0,0,1,5,8,15,6,0,0,2,14,12,12,6,0,0,5
0,1,13,16,16,16,4,0,0,0,11,12,13,16,4,0,0,0,0,0,13,11,0,0,0,0,11,16,16,16,7,0,0,0,11,15,14,13,8,0,0,0,0,16,7,0,0,0,0,0,9,16,1,0,0,0,0,0,14,10,0,0,0,0,7
0,0,0,0,13,12,1,0,0,0,0,5,16,16,1,0,0,0,0,14,16,14,0,0,0,0,7,16,16,10,0,0,0,5,16,16,16,14,0,0,0,2,6,9,16,16,1,0,0,0,0,2,16,16,7,0,0,0,0,0,8,12,6,0,1
0,0,4,10,16,9,0,0,0,4,15,9,8,12,0,0,0,4,4,0,8,10,0,0,0,0,0,6,16,13,1,0,0,0,0,9,10,12,7,0,0,0,0,0,0,10,7,0,0,0,1,6,10,16,3,0,0,0,4,14,10,2,0,0,3
0,0,5,9,12,12,2,0,0,0,7,10,10,16,5,0,0,0,0,0,6,13,0,0,0,0,7,9,14,14,6,0,0,0,8,14,15,8,2,0,0,0,0,11,7,0,0,0,0,0,6,15,0,0,0,0,0,0,11,7,0,0,0,0,7
0,0,4,11,15,4,0,0,0,3,15,15,10,16,0,0,0,8,15,2,0,14,4,0,0,7,13,0,0,10,8,0,0,7,12,0,0,13,4,0,0,1,15,4,1,15,2,0,0,0,10,12,11,12,0,0,0,0,2,11,13,2,0,0,0
0,0,8,13,7,0,0,0,0,5,16,9,15,6,0,0,0,5,8,0,7,13,0,0,0,2,4,0,1,15,0,0,0,0,0,0,4,13,0,0,0,0,0,0,10,10,0,0,0,0,5,12,16,9,8,1,0,0,8,13,14,15,16,4,2
0,0,0,11,13,1,0,0,0,2,7,16,11,11,0,0,0,8,16,8,0,9,1,0,0,7,12,7,0,4,5,0,0,3,9,0,0,4,9,0,0,1,12,1,0,10,7,0,0,0,7,11,10,15,0,0,0,0,1,11,13,5,0,0,0
0,0,0,2,14,8,0,0,0,0,0,8,14,2,6,0,0,0,3,15,7,6,16,2,0,1,13,12,1,12,11,0,0,11,16,16,16,16,10,0,0,5,10,8,13,15,3,0,0,0,0,0,14,12,0,0,0,0,0,4,16,7,0,0,4
0,0,1,12,16,12,2,0,0,0,8,12,11,16,4,0,0,5,16,3,12,13,1,0,0,2,15,15,15,3,0,0,0,0,5,16,15,6,0,0,0,0,6,13,8,16,6,0,0,0,6,13,4,13,12,0,0,0,1,14,16,11,2,0,8
0,0,9,13,6,0,0,0,0,5,16,9,14,1,0,0,0,9,9,0,11,5,0,0,0,1,1,0,10,6,0,0,0,0,0,0,15,4,0,0,0,0,0,5,15,0,0,0,0,0,5,15,11,8,8,0,0,0,8,16,12,12,15,4,2
0,0,6,15,16,11,3,0,0,0,12,8,8,14,9,0,0,0,0,0,3,16,4,0,0,0,0,5,16,13,1,0,0,0,0,8,12,14,7,0,0,0,0,0,3,15,2,0,0,0,2,9,15,8,0,0,0,0,10,9,2,0,0,0,3
0,0,6,7,8,9,9,0,0,5,16,16,14,13,3,0,0,5,10,7,3,0,0,0,0,5,16,16,13,0,0,0,0,0,0,0,12,1,0,0,0,0,0,0,13,1,0,0,0,0,8,11,12,0,0,0,0,0,10,11,2,0,0,0,5
0,1,8,14,16,6,0,0,0,9,15,10,13,10,0,0,0,1,2,7,16,5,0,0,0,0,4,16,9,0,0,0,0,0,4,16,11,2,0,0,0,0,0,4,13,16,9,0,0,1,8,4,4,13,13,0,0,0,9,14,16,13,7,0,3
0,2,12,13,12,2,0,0,0,2,7,5,15,7,0,0,0,0,0,9,16,2,0,0,0,4,16,14,3,0,0,0,0,2,12,16,14,5,0,0,0,0,0,1,6,15,4,0,0,0,1,0,2,13,6,0,0,4,13,15,16,12,1,0,3
0,0,0,6,14,0,0,0,0,0,3,15,9,0,0,0,0,0,14,14,0,7,10,0,0,8,16,8,0,14,15,1,0,12,16,12,10,16,10,0,0,5,14,16,16,15,2,0,0,0,0,4,16,6,0,0,0,0,0,8,14,0,0,0,4
0,0,7,15,11,0,0,0,0,9,10,14,15,12,0,0,0,9,12,0,0,4,1,0,0,7,16,14,9,0,0,0,0,0,7,13,16,6,0,0,0,0,0,0,12,9,0,0,0,0,11,10,16,8,0,0,0,0,5,16,14,3,0,0,5
0,1,12,14,4,0,0,0,0,7,15,7,9,0,0,0,0,6,15,1,3,0,0,0,0,1,14,9,5,9,6,0,0,0,3,16,15,5,2,0,0,2,15,13,15,0,0,0,0,7,14,4,14,3,0,0,0,0,11,14,11,0,0,0,8
0,0,1,7,16,2,0,0,0,0,14,13,12,10,1,0,0,3,14,0,3,16,4,0,0,1,15,16,15,16,0,0,0,0,2,7,2,10,3,0,0,0,0,0,0,11,2,0,0,0,0,9,2,10,4,0,0,0,0,9,16,12,1,0,9
0,0,0,11,6,0,0,0,0,0,0,15,10,0,0,0,0,0,5,16,2,0,0,0,0,0,8,13,0,0,0,0,0,0,10,12,5,7,1,0,0,0,9,16,12,12,15,2,0,0,7,15,6,9,15,8,0,0,1,10,15,15,10,0,6
0,0,5,11,8,4,0,0,0,0,15,16,16,15,1,0,0,0,12,16,16,15,2,0,0,3,16,16,16,11,0,0,0,4,16,16,16,4,0,0,0,3,16,16,16,8,0,0,0,0,12,16,16,9,0,0,0,0,3,8,12,8,0,0,1
0,2,15,15,5,0,0,0,0,4,13,10,16,0,0,0,0,0,4,4,16,0,0,0,0,0,0,2,15,0,0,0,0,0,0,9,10,0,0,0,0,0,3,15,3,0,0,0,0,1,13,14,8,8,6,0,0,2,13,12,10,9,6,0,2
0,0,9,15,3,0,0,0,0,1,15,16,15,5,0,0,0,3,16,8,9,14,0,0,0,4,13,0,0,10,4,0,0,3,13,0,0,7,6,0,0,2,12,0,0,10,10,0,0,1,12,9,13,16,6,0,0,0,7,16,16,8,0,0,0
0,0,7,11,11,2,0,0,0,0,16,16,15,13,0,0,0,3,15,7,0,10,3,0,0,3,12,0,0,5,7,0,0,7,9,0,0,10,6,0,0,4,13,0,3,15,6,0,0,2,15,12,15,14,0,0,0,0,7,16,12,2,0,0,0
0,0,1,14,4,0,0,0,0,0,6,15,2,0,0,0,0,0,12,8,0,0,0,0,0,0,12,4,0,0,0,0,0,2,16,13,12,9,0,0,0,5,16,11,8,15,10,0,0,0,13,9,4,9,11,0,0,0,3,11,14,13,4,0,6
0,0,9,16,15,2,0,0,0,4,16,13,15,11,0,0,0,6,10,0,14,10,0,0,0,0,0,4,16,4,0,0,0,0,0,10,14,0,0,0,0,0,5,15,4,0,0,0,0,0,14,14,11,12,5,0,0,0,12,16,16,11,3,0,2
0,0,11,16,16,16,7,0,0,0,9,8,8,16,13,0,0,0,0,0,2,16,10,0,0,0,2,4,12,16,4,0,0,0,15,16,16,16,10,0,0,0,5,14,10,4,0,0,0,0,6,16,0,0,0,0,0,0,12,11,0,0,0,0,7
0,0,0,12,6,0,0,0,0,0,3,16,1,0,0,0,0,0,6,13,0,0,0,0,0,0,10,9,0,0,0,0,0,0,13,8,8,3,0,0,0,1,16,12,8,12,8,0,0,0,8,12,1,0,14,3,0,0,0,8,14,16,12,3,6
0,0,0,5,15,1,0,0,0,0,1,14,12,0,0,0,0,1,12,15,0,3,13,1,0,7,16,4,0,11,15,0,0,14,13,0,4,16,5,0,0,14,16,16,16,11,0,0,0,2,8,13,16,3,0,0,0,0,0,7,16,2,0,0,4
0,0,0,9,7,0,0,0,0,0,4,16,5,0,0,0,0,0,8,13,0,0,0,0,0,0,13,8,0,0,0,0,0,2,15,7,8,7,1,0,0,1,15,11,8,10,13,0,0,0,11,10,4,5,15,2,0,0,0,9,12,13,9,0,6
0,0,3,16,11,1,0,0,0,0,12,16,16,2,0,0,0,3,16,16,11,0,0,0,0,5,16,16,7,0,0,0,0,6,16,16,5,0,0,0,0,1,16,16,3,0,0,0,0,0,11,16,9,0,0,0,0,0,4,12,14,12,5,0,1
0,0,5,11,12,5,0,0,0,0,9,16,16,11,0,0,0,0,11,16,16,4,0,0,0,1,16,16,15,2,0,0,0,0,14,16,11,0,0,0,0,2,16,16,8,0,0,0,0,0,14,16,8,0,0,0,0,0,8,16,13,1,0,0,1
0,0,0,1,14,2,0,0,0,0,0,10,13,0,1,0,0,0,6,13,2,6,9,0,0,1,15,4,0,13,6,0,0,6,14,6,7,16,2,0,0,1,9,13,16,14,5,0,0,0,0,0,16,2,0,0,0,0,0,0,14,0,0,0,4
0,2,12,16,15,8,0,0,0,13,16,13,8,12,2,0,0,16,13,1,0,0,0,0,0,9,16,13,5,0,0,0,0,1,11,13,14,2,0,0,0,0,0,0,16,8,0,0,0,0,3,11,16,5,0,0,0,0,14,16,10,1,0,0,5
0,0,6,14,14,4,0,0,0,0,13,15,11,13,0,0,0,0,2,2,2,16,1,0,0,0,0,0,3,14,1,0,0,0,0,0,9,11,0,0,0,0,0,4,16,3,0,0,0,0,4,15,16,16,14,2,0,0,7,13,12,9,9,3,2
0,0,7,14,1,0,0,0,0,0,14,13,6,0,0,0,0,0,12,8,3,0,0,0,0,0,3,14,12,16,6,0,0,0,2,14,16,4,0,0,0,0,11,14,8,14,2,0,0,3,16,3,1,16,4,0,0,0,8,14,16,11,1,0,8
0,0,0,10,7,0,0,0,0,0,1,16,5,0,0,0,0,0,0,15,2,7,4,0,0,0,0,11,16,14,4,0,0,1,12,16,15,1,0,0,0,7,16,4,16,1,0,0,0,1,12,9,16,4,0,0,0,0,1,11,15,2,0,0,8
0,0,1,8,16,4,0,0,0,0,13,10,5,8,0,0,0,1,16,5,10,15,2,0,0,1,11,13,11,14,4,0,0,0,0,0,0,8,8,0,0,0,0,0,0,8,5,0,0,0,0,5,0,13,4,0,0,0,0,12,16,10,0,0,9
0,2,10,15,14,9,2,0,0,4,11,4,5,14,8,0,0,0,0,0,8,16,3,0,0,0,0,6,14,3,0,0,0,0,0,8,16,7,0,0,0,0,0,0,7,16,1,0,0,2,4,4,7,15,1,0,0,3,12,14,12,6,0,0,3
0,0,5,13,1,0,0,0,0,0,13,16,7,1,0,0,0,1,16,16,16,13,1,0,0,2,16,10,0,12,5,0,0,2,16,0,0,3,10,0,0,2,15,0,0,6,14,0,0,0,14,5,8,16,9,0,0,0,4,13,15,7,0,0,0
0,1,10,16,15,0,0,0,0,7,15,5,8,0,0,0,0,10,12,0,0,0,0,0,0,4,16,4,2,9,5,0,0,0,10,15,15,15,8,0,0,0,12,16,13,1,0,0,0,3,16,13,16,1,0,0,0,0,12,16,14,1,0,0,8
0,0,0,5,16,1,0,0,0,0,1,16,10,0,0,0,0,0,13,13,1,3,8,0,0,6,16,3,0,13,14,0,0,13,16,3,5,16,5,0,0,15,16,16,16,15,0,0,0,1,7,11,16,6,0,0,0,0,0,7,15,3,0,0,4
0,1,11,16,16,7,0,0,0,0,8,7,12,12,0,0,0,0,0,0,12,8,0,0,0,0,0,2,14,4,0,0,0,1,13,16,16,11,4,0,0,1,12,16,10,8,3,0,0,0,11,11,0,0,0,0,0,3,16,5,0,0,0,0,7
0,0,0,11,11,0,0,0,0,0,3,16,7,0,0,0,0,0,6,15,1,0,0,0,0,0,7,12,0,0,0,0,0,0,12,13,8,7,0,0,0,1,16,12,8,11,12,0,0,0,8,13,4,7,16,1,0,0,2,11,13,12,7,0,6
0,0,7,15,14,4,0,0,0,0,13,13,10,11,0,0,0,0,0,1,0,15,1,0,0,0,0,0,1,16,0,0,0,0,0,0,6,14,0,0,0,0,0,4,15,8,0,0,0,0,5,14,16,16,9,0,0,0,5,11,7,4,9,2,2
0,0,9,16,12,1,0,0,0,10,16,10,15,4,0,0,0,8,6,0,8,7,0,0,0,0,0,0,8,10,0,0,0,0,0,1,14,5,0,0,0,0,0,10,15,1,1,0,0,0,10,16,14,14,11,0,0,0,8,15,14,10,3,0,2
0,0,0,9,14,0,0,0,0,0,6,16,8,0,0,0,0,0,14,14,0,6,15,0,0,9,16,3,3,16,10,0,0,13,16,4,11,15,1,0,0,13,16,16,16,12,2,0,0,2,4,10,16,2,0,0,0,0,0,9,15,2,0,0,4
0,0,0,11,3,0,0,0,0,0,5,16,2,0,0,0,0,0,12,11,0,0,0,0,0,0,14,5,0,0,0,0,0,0,16,3,1,1,0,0,0,0,16,16,16,16,11,0,0,0,12,8,4,6,16,2,0,0,2,11,15,16,11,1,6
0,0,0,7,15,1,0,0,0,0,2,14,10,0,2,0,0,0,10,12,1,2,15,3,0,5,16,3,0,9,14,0,0,14,12,2,2,16,5,0,0,14,16,16,16,16,1,0,0,5,8,12,16,4,0,0,0,0,0,9,16,6,0,0,4
0,0,0,3,16,3,0,0,0,0,0,9,16,2,0,0,0,0,2,14,9,5,6,0,0,0,8,15,2,15,12,0,0,4,16,6,3,16,5,0,0,11,16,13,16,16,8,0,0,5,11,13,16,10,1,0,0,0,0,4,16,7,0,0,4
0,0,4,14,14,4,0,0,0,5,14,3,1,4,0,0,0,8,12,0,2,2,0,0,0,4,15,12,16,16,8,0,0,0,14,16,9,0,0,0,0,4,16,11,15,2,0,0,0,2,15,8,12,12,0,0,0,0,4,12,16,10,0,0,8
0,1,10,16,15,1,0,0,0,5,16,13,16,4,0,0,0,5,9,3,16,2,0,0,0,0,0,10,10,0,0,0,0,0,2,15,6,0,0,0,0,0,9,12,1,0,0,0,0,0,12,14,10,4,0,0,0,0,11,16,16,16,2,0,2
0,0,2,13,10,4,0,0,0,0,0,16,16,11,0,0,0,0,0,13,16,15,0,0,0,0,1,14,16,11,0,0,0,0,4,16,16,6,0,0,0,0,3,16,14,2,0,0,0,0,7,16,16,3,0,0,0,0,4,13,16,4,0,0,1
0,0,11,16,16,9,0,0,0,2,16,12,16,11,0,0,0,1,3,1,16,8,0,0,0,0,0,12,14,2,0,0,0,0,3,16,8,0,0,0,0,0,11,15,0,0,0,0,0,0,13,15,12,12,4,0,0,0,13,16,16,15,2,0,2
0,1,10,16,16,14,1,0,0,1,11,5,4,15,0,0,0,0,0,0,6,10,0,0,0,0,1,13,12,1,0,0,0,0,2,15,16,12,1,0,0,0,0,0,3,14,4,0,0,1,6,0,2,14,3,0,0,2,12,16,15,8,0,0,3
0,0,9,11,1,0,0,0,0,4,16,14,9,0,0,0,0,1,6,3,13,0,0,0,0,0,0,3,14,0,0,0,0,0,0,5,13,0,0,0,0,0,0,14,10,3,0,0,0,0,11,16,16,16,14,2,0,0,6,9,7,4,8,6,2
0,0,13,13,12,12,2,0,0,0,14,16,16,14,3,0,0,0,10,16,5,0,0,0,0,0,1,10,14,1,0,0,0,0,0,2,16,4,0,0,0,0,0,0,12,8,0,0,0,0,4,6,15,5,0,0,0,1,15,16,15,1,0,0,5
0,0,5,11,13,10,0,0,0,0,8,9,9,16,5,0,0,0,0,0,0,14,7,0,0,0,0,0,1,16,1,0,0,0,3,4,12,9,1,0,0,10,16,16,14,12,2,0,0,3,2,15,2,0,0,0,0,0,8,6,0,0,0,0,7
0,0,7,16,11,0,0,0,0,5,15,12,16,3,0,0,0,6,16,14,16,7,0,0,0,1,8,12,16,8,0,0,0,0,0,0,6,15,2,0,0,0,0,0,0,16,7,0,0,0,0,0,2,13,8,0,0,0,8,16,16,14,4,0,9
0,0,4,15,14,1,0,0,0,2,16,14,16,9,0,0,0,5,16,1,10,16,0,0,0,4,16,16,16,16,1,0,0,0,9,12,10,16,6,0,0,0,0,0,0,13,7,0,0,0,3,6,5,14,8,0,0,0,6,16,16,15,2,0,9
0,0,9,15,13,5,1,0,0,2,16,13,9,12,3,0,0,8,12,0,0,0,0,0,0,2,16,15,6,0,0,0,0,0,1,8,15,3,0,0,0,0,0,0,6,11,0,0,0,0,5,6,12,10,0,0,0,1,10,13,10,1,0,0,5
0,0,7,16,12,5,0,0,0,0,7,16,16,7,0,0,0,0,3,16,16,8,0,0,0,0,5,16,16,7,0,0,0,0,11,16,15,2,0,0,0,0,14,16,14,0,0,0,0,0,14,16,16,3,0,0,0,0,6,13,14,5,0,0,1
0,0,6,12,14,11,0,0,0,1,11,8,10,14,0,0,0,0,0,0,12,9,0,0,0,0,0,11,10,0,0,0,0,0,0,10,16,13,1,0,0,0,0,0,7,15,5,0,0,0,4,4,5,14,3,0,0,0,10,15,12,8,0,0,3
0,0,4,15,11,0,0,0,0,1,15,6,14,3,0,0,0,3,14,8,14,10,0,0,0,1,9,12,7,13,0,0,0,0,0,0,0,14,2,0,0,0,0,0,0,13,4,0,0,0,7,4,3,13,4,0,0,0,7,13,15,9,0,0,9
0,1,11,16,9,0,0,0,0,10,14,9,13,2,0,0,0,4,3,0,12,4,0,0,0,0,0,0,12,3,0,0,0,0,0,5,15,0,0,0,0,0,2,13,10,0,0,0,0,1,16,16,9,10,7,0,0,0,10,13,12,10,9,0,2
0,0,13,16,14,6,0,0,0,3,16,14,12,15,2,0,0,7,16,2,0,0,0,0,0,12,16,10,6,0,0,0,0,6,16,16,16,6,0,0,0,0,0,1,10,13,0,0,0,0,1,4,13,14,0,0,0,0,12,16,16,10,0,0,5
0,0,3,15,7,0,0,0,0,0,13,16,10,0,0,0,0,5,16,7,5,3,0,0,0,5,16,8,16,15,2,0,0,2,12,1,6,8,10,0,0,1,14,2,0,0,13,0,0,0,9,15,12,15,16,0,0,0,2,10,15,16,7,0,0
0,0,0,4,16,4,0,0,0,0,0,3,16,6,0,0,0,0,0,10,14,1,9,2,0,0,3,15,4,9,15,0,0,3,15,9,3,14,10,0,2,15,16,15,16,16,3,0,1,10,9,9,16,10,0,0,0,0,0,5,16,2,0,0,4
0,0,6,16,16,12,0,0,0,0,8,9,13,16,2,0,0,0,0,0,4,16,1,0,0,0,1,5,12,12,0,0,0,0,13,16,16,16,7,0,0,0,8,14,12,10,3,0,0,0,3,16,3,0,0,0,0,0,9,11,0,0,0,0,7
0,1,14,13,16,12,1,0,0,9,16,13,7,8,1,0,0,10,16,11,7,0,0,0,0,1,13,16,16,6,0,0,0,0,0,0,5,12,0,0,0,0,0,0,5,11,0,0,0,0,1,6,15,9,0,0,0,0,13,15,8,1,0,0,5
0,0,3,15,13,1,0,0,0,0,13,14,11,4,0,0,0,0,14,11,3,1,0,0,0,0,4,16,12,16,6,0,0,0,5,16,16,6,0,0,0,3,16,9,11,11,0,0,0,3,16,6,2,16,4,0,0,0,6,13,14,9,0,0,8
0,0,4,10,16,14,4,0,0,0,10,16,16,16,4,0,0,0,16,16,16,8,0,0,0,0,16,16,16,0,0,0,0,0,16,16,16,0,0,0,0,4,16,16,16,0,0,0,0,0,16,16,16,0,0,0,0,0,6,14,14,0,0,0,1
0,0,5,8,0,0,0,0,0,0,12,16,13,7,0,0,0,0,15,15,13,16,3,0,0,3,15,0,0,10,6,0,0,3,13,0,0,7,9,0,0,4,16,0,1,12,12,0,0,1,15,12,14,16,9,0,0,0,6,14,14,9,1,0,0
0,2,14,16,9,0,0,0,0,8,16,13,16,3,0,0,0,10,9,5,16,2,0,0,0,1,0,8,14,0,0,0,0,0,0,14,10,0,0,0,0,0,5,16,5,0,0,0,0,3,16,16,11,6,1,0,0,2,13,16,16,16,12,0,2
0,0,0,7,16,2,0,0,0,0,3,15,10,0,0,0,0,1,13,14,2,3,9,0,0,9,16,7,0,14,14,0,0,13,16,0,5,16,8,0,0,14,16,16,16,15,2,0,0,0,4,7,16,6,0,0,0,0,0,8,15,0,0,0,4
0,1,9,15,13,0,0,0,0,6,16,16,16,2,0,0,0,3,8,8,16,4,0,0,0,0,0,12,13,0,0,0,0,0,1,16,9,0,0,0,0,0,9,16,2,0,0,0,0,0,12,14,10,8,1,0,0,0,13,16,16,16,5,0,2
0,0,6,11,0,0,0,0,0,1,15,12,2,4,0,0,0,5,12,3,16,16,4,0,0,5,9,0,8,7,8,0,0,8,8,0,0,4,8,0,0,7,9,0,0,4,9,0,0,0,15,8,9,15,7,0,0,0,6,16,16,9,0,0,0
0,0,6,13,16,12,1,0,0,3,16,11,8,9,1,0,0,3,16,5,2,8,5,0,0,1,13,14,16,16,6,0,0,0,5,16,16,3,0,0,0,0,14,12,13,10,0,0,0,0,15,11,10,14,0,0,0,0,4,15,16,7,0,0,8
0,0,0,5,15,0,0,0,0,0,0,11,11,0,0,0,0,0,1,16,4,4,6,0,0,0,13,12,1,15,7,0,0,2,16,2,8,14,2,0,0,12,16,15,16,15,0,0,0,5,8,10,16,2,0,0,0,0,0,3,11,2,0,0,4
0,0,2,14,16,11,0,0,0,0,11,15,12,10,2,0,0,1,15,3,0,0,0,0,0,1,16,5,0,0,0,0,0,0,12,16,7,0,0,0,0,0,0,9,16,7,0,0,0,0,3,10,15,12,0,0,0,0,3,16,15,7,0,0,5
0,0,0,12,15,9,11,6,0,0,0,5,10,13,16,2,0,0,0,0,0,9,9,0,0,0,0,4,10,16,2,0,0,0,8,16,16,16,5,0,0,0,3,8,14,2,0,0,0,0,0,11,9,0,0,0,0,0,0,12,1,0,0,0,7
0,0,6,9,0,0,0,0,0,0,7,16,10,13,7,0,0,0,1,8,16,14,1,0,0,0,0,1,13,7,0,0,0,0,12,16,16,10,1,0,0,0,3,15,10,8,2,0,0,0,2,16,2,0,0,0,0,0,4,13,0,0,0,0,7
0,0,0,0,6,15,12,0,0,0,1,11,14,13,15,0,0,1,12,10,0,11,7,0,0,5,15,1,3,16,3,0,0,5,16,13,15,14,0,0,0,0,4,4,11,13,0,0,0,0,0,0,8,13,0,0,0,0,0,0,8,8,0,0,9
0,0,0,13,9,10,14,2,0,0,0,11,12,15,12,0,0,0,0,0,0,14,3,0,0,1,4,4,7,15,1,0,0,7,16,16,16,12,6,0,0,2,4,8,11,0,0,0,0,0,0,11,6,0,0,0,0,0,0,13,7,0,0,0,7
0,1,13,13,1,0,0,0,0,9,16,16,7,0,0,0,0,5,5,13,8,0,0,0,0,0,2,16,6,0,0,0,0,0,11,15,1,0,0,0,0,4,16,8,1,0,0,0,0,4,16,16,16,16,6,0,0,1,11,14,16,16,11,0,2
0,0,0,8,14,10,0,0,0,0,2,14,16,14,0,0,0,0,12,16,16,14,2,0,0,5,16,16,16,12,1,0,0,1,4,10,16,14,0,0,0,0,0,9,16,12,0,0,0,0,0,9,16,12,0,0,0,0,0,8,15,12,0,0,1
0,0,0,8,16,10,8,12,0,0,0,12,16,16,16,11,0,0,0,0,0,14,14,0,0,0,0,1,8,16,11,0,0,0,1,15,16,16,7,0,0,0,2,9,16,8,0,0,0,0,0,7,16,3,0,0,0,0,0,10,12,0,0,0,7
0,0,3,11,2,7,13,0,0,0,3,13,16,16,7,0,0,0,0,0,5,13,0,0,0,0,0,0,9,7,0,0,0,8,16,16,16,16,2,0,0,2,4,12,11,1,0,0,0,0,0,15,5,0,0,0,0,0,3,16,3,0,0,0,7
0,0,0,0,15,7,0,0,0,0,0,7,16,4,0,0,0,0,1,15,11,1,5,0,0,2,14,12,1,12,13,0,0,7,16,11,8,16,11,0,0,12,16,16,16,16,3,0,0,1,8,5,14,15,0,0,0,0,0,0,13,12,0,0,4
0,0,0,1,13,8,0,0,0,0,0,9,16,15,0,0,0,0,5,16,16,12,0,0,0,2,15,16,16,10,0,0,0,8,14,3,16,10,0,0,0,0,0,4,16,8,0,0,0,0,0,4,16,11,0,0,0,0,0,0,15,12,0,0,1
0,0,0,3,11,16,11,0,0,0,6,16,11,16,7,0,0,0,14,8,0,15,1,0,0,8,16,4,12,11,0,0,0,1,11,15,16,11,0,0,0,0,0,0,15,5,0,0,0,0,0,0,16,6,0,0,0,0,0,2,16,5,0,0,9
0,1,11,16,7,0,0,0,0,8,16,15,10,0,0,0,0,12,8,12,11,0,0,0,0,2,0,15,7,0,0,0,0,0,8,14,0,0,0,0,0,0,13,12,0,3,3,0,0,5,16,13,14,16,16,1,0,0,16,16,15,10,5,0,2
0,0,2,9,0,0,0,0,0,0,11,8,0,0,0,0,0,1,16,0,0,0,0,0,0,4,11,0,0,0,0,0,0,7,8,3,8,3,0,0,0,6,11,13,16,16,4,0,0,0,14,16,7,12,12,0,0,0,3,14,16,14,6,0,6
0,0,0,2,9,16,3,0,0,0,2,14,15,16,2,0,0,0,11,10,7,9,0,0,0,1,16,4,11,5,0,0,0,0,14,16,16,10,0,0,0,0,0,1,14,11,0,0,0,0,0,0,14,7,0,0,0,0,0,0,14,3,0,0,9
0,0,0,9,13,1,0,0,0,0,3,15,7,1,0,0,0,0,8,10,0,0,0,0,0,0,13,5,0,0,0,0,0,0,14,16,12,3,0,0,0,0,13,10,7,15,1,0,0,0,5,12,2,11,7,0,0,0,0,8,16,16,4,0,6
0,0,0,1,8,15,12,0,0,0,2,14,13,16,5,0,0,0,9,14,9,9,0,0,0,0,8,16,16,15,2,0,0,0,0,2,10,14,1,0,0,0,0,0,10,12,0,0,0,0,0,0,12,7,0,0,0,0,0,0,11,1,0,0,9
0,0,2,15,7,0,0,0,0,0,7,16,6,0,0,0,0,0,14,15,1,3,1,0,0,5,16,7,3,16,8,0,0,13,15,0,10,16,4,0,0,13,16,16,16,15,0,0,0,2,6,15,15,5,0,0,0,0,4,15,4,0,0,0,4
0,0,0,0,5,14,8,0,0,0,1,10,13,13,11,0,0,0,11,9,2,14,6,0,0,4,16,9,12,16,3,0,0,0,6,4,4,15,4,0,0,0,0,0,0,16,4,0,0,0,0,0,0,15,3,0,0,0,0,0,2,15,0,0,9
0,0,6,16,12,1,0,0,0,0,15,14,14,13,0,0,0,2,16,6,5,16,2,0,0,0,15,4,2,16,6,0,0,1,16,5,1,16,6,0,0,2,16,2,11,14,1,0,0,0,16,5,15,5,0,0,0,0,7,16,7,0,0,0,0
0,1,6,8,11,16,6,0,0,5,16,16,12,9,4,0,0,8,13,1,0,0,0,0,0,6,16,11,4,0,0,0,0,0,7,12,16,10,0,0,0,0,0,0,7,12,0,0,0,0,1,5,14,11,0,0,0,0,9,15,9,1,0,0,5
0,0,8,12,8,8,10,0,0,0,5,10,13,16,8,0,0,0,0,0,5,11,0,0,0,2,8,12,15,12,2,0,0,8,12,15,12,8,4,0,0,0,2,13,2,0,0,0,0,0,8,11,0,0,0,0,0,0,10,5,0,0,0,0,7
0,0,6,16,13,4,0,0,0,0,10,8,8,13,0,0,0,0,0,0,6,11,0,0,0,0,3,7,14,2,0,0,0,2,16,13,15,6,0,0,0,0,3,0,6,14,0,0,0,0,3,4,5,14,0,0,0,0,9,16,12,4,0,0,3
0,0,4,12,15,8,0,0,0,4,15,10,10,12,0,0,0,13,10,2,16,4,0,0,0,6,12,15,9,0,0,0,0,0,2,16,13,3,0,0,0,0,10,9,6,13,1,0,0,0,10,9,0,10,8,0,0,0,2,13,16,14,5,0,8
0,0,0,0,9,15,0,0,0,0,0,4,16,6,0,0,0,0,0,13,12,0,0,0,0,0,10,14,1,12,6,0,0,4,16,6,0,16,12,0,0,13,15,12,16,16,9,0,0,13,16,15,13,16,5,0,0,1,4,0,9,12,0,0,4
0,0,1,13,15,7,0,0,0,0,9,14,9,15,1,0,0,2,16,5,0,10,4,0,0,5,13,5,0,4,8,0,0,8,8,0,0,7,8,0,0,3,14,1,0,9,7,0,0,0,13,13,9,16,4,0,0,0,3,13,16,10,0,0,0
0,2,12,14,12,1,0,0,0,7,13,6,14,5,0,0,0,0,0,3,15,3,0,0,0,2,15,16,14,1,0,0,0,1,6,5,12,13,0,0,0,0,0,0,1,14,6,0,0,4,8,4,5,14,8,0,0,2,13,16,15,9,1,0,3
0,0,0,0,5,15,1,0,0,0,0,0,14,16,2,0,0,0,1,12,16,16,2,0,0,1,13,16,12,16,0,0,0,4,13,2,8,13,0,0,0,0,0,0,9,13,0,0,0,0,0,0,11,16,0,0,0,0,0,0,4,16,4,0,1
0,0,7,12,12,10,2,0,0,1,16,15,12,15,9,0,0,0,16,7,0,1,2,0,0,0,11,16,10,1,0,0,0,0,0,3,14,13,1,0,0,0,0,0,3,16,1,0,0,0,8,7,15,12,0,0,0,0,11,12,6,0,0,0,5
0,0,5,15,15,5,0,0,0,2,15,5,3,13,0,0,0,3,9,0,6,10,0,0,0,4,8,3,13,1,0,0,0,3,14,14,6,0,0,0,0,0,7,12,14,11,1,0,0,0,12,5,1,13,9,0,0,0,5,12,14,10,1,0,8
0,0,6,12,14,10,0,0,0,4,16,13,10,13,0,0,0,8,9,0,0,0,0,0,0,6,14,10,7,0,0,0,0,0,8,9,15,11,0,0,0,0,0,0,1,14,7,0,0,0,4,8,8,15,5,0,0,0,5,16,12,6,0,0,5
0,0,0,1,11,14,10,0,0,0,6,14,7,10,13,0,0,0,15,3,1,14,5,0,0,0,15,11,9,16,5,0,0,0,3,8,7,16,4,0,0,0,0,0,2,11,0,0,0,0,0,0,10,10,0,0,0,0,0,0,14,7,0,0,9
0,4,15,14,11,4,0,0,0,2,11,8,14,16,1,0,0,0,0,5,15,9,0,0,0,0,9,16,12,0,0,0,0,0,2,8,15,12,1,0,0,0,0,0,2,16,8,0,0,1,4,4,10,16,5,0,0,4,16,15,11,3,0,0,3
0,0,0,5,0,4,13,5,0,0,6,16,16,16,14,1,0,0,2,6,8,16,2,0,0,0,2,4,12,14,0,0,0,5,15,16,16,16,4,0,0,6,9,11,15,4,0,0,0,0,0,15,9,0,0,0,0,0,0,13,6,0,0,0,7
0,0,7,16,13,6,0,0,0,2,14,5,7,15,2,0,0,3,7,1,10,14,0,0,0,5,14,14,13,1,0,0,0,0,6,16,9,0,0,0,0,0,10,7,13,2,0,0,0,0,14,4,13,4,0,0,0,0,9,14,11,1,0,0,8
0,0,5,10,14,5,0,0,0,4,16,13,13,12,0,0,0,7,10,0,10,7,0,0,0,0,0,6,16,6,0,0,0,0,0,6,14,15,1,0,0,0,0,0,0,11,7,0,0,0,4,8,8,15,7,0,0,0,5,14,12,8,0,0,3
0,0,2,15,13,5,0,0,0,0,5,13,12,15,0,0,0,4,14,13,15,14,0,0,0,8,16,16,15,3,0,0,0,0,13,11,9,12,0,0,0,0,15,2,0,15,1,0,0,0,13,8,4,14,3,0,0,0,2,12,13,12,2,0,8
0,0,4,15,11,2,0,0,0,0,15,15,14,11,0,0,0,2,16,6,0,15,1,0,0,2,16,5,0,11,5,0,0,2,16,4,0,7,9,0,0,0,15,2,0,10,9,0,0,0,11,13,9,16,4,0,0,0,2,10,16,10,0,0,0
0,0,1,11,15,8,0,0,0,0,11,11,4,16,0,0,0,6,11,1,3,13,0,0,0,3,14,6,14,2,0,0,0,0,2,16,10,0,0,0,0,0,4,11,10,7,0,0,0,0,5,8,5,13,0,0,0,0,1,12,16,5,0,0,8
0,0,1,8,13,10,2,0,0,0,11,16,13,13,3,0,0,4,15,0,0,0,0,0,0,3,15,7,1,0,0,0,0,0,8,15,15,7,0,0,0,0,0,2,10,16,2,0,0,0,2,7,8,16,4,0,0,0,2,15,12,7,0,0,5
0,0,7,14,16,8,0,0,0,0,5,10,13,7,0,0,0,0,0,0,13,3,0,0,0,0,4,8,16,8,4,0,0,2,16,16,13,12,4,0,0,1,3,14,2,0,0,0,0,0,2,14,0,0,0,0,0,0,8,13,0,0,0,0,7
0,0,0,6,13,3,0,0,0,0,4,16,13,1,0,0,0,0,13,11,1,0,0,0,0,5,15,1,0,0,0,0,0,5,13,0,0,0,0,0,0,2,16,10,16,13,3,0,0,0,11,16,14,16,15,0,0,0,1,8,13,13,9,0,6
0,0,0,2,9,15,15,0,0,0,4,14,12,9,12,0,0,2,14,6,0,10,10,0,0,6,16,6,7,16,8,0,0,1,13,16,11,15,7,0,0,0,0,0,1,16,3,0,0,0,0,0,7,15,0,0,0,0,0,0,11,9,0,0,9
0,0,0,0,10,12,0,0,0,0,0,0,15,12,0,0,0,0,0,7,16,12,0,0,0,0,9,16,16,11,0,0,0,8,16,11,16,12,0,0,0,3,4,3,16,9,0,0,0,0,0,0,15,10,0,0,0,0,0,0,9,13,0,0,1
0,0,0,0,9,13,0,0,0,0,0,3,15,12,0,0,0,0,2,13,16,14,0,0,0,4,14,14,14,14,0,0,0,5,11,1,9,13,0,0,0,0,0,0,11,11,0,0,0,0,0,0,10,10,0,0,0,0,0,0,9,9,0,0,1
0,0,0,14,8,8,14,0,0,0,1,11,15,16,13,0,0,0,0,0,6,16,3,0,0,3,13,16,16,16,3,0,0,2,8,11,15,9,4,0,0,0,0,10,7,0,0,0,0,0,0,16,5,0,0,0,0,0,0,14,1,0,0,0,7
0,0,6,16,14,3,0,0,0,0,9,5,5,11,0,0,0,0,3,2,3,12,0,0,0,2,15,14,12,3,0,0,0,0,3,15,12,8,0,0,0,0,10,6,0,11,2,0,0,0,13,3,0,9,7,0,0,0,5,14,14,12,4,0,8
0,0,0,0,10,5,0,0,0,0,0,0,16,4,0,0,0,0,0,9,12,4,3,0,0,0,2,15,1,11,8,0,0,0,14,7,0,14,4,0,0,6,16,9,15,15,2,0,0,9,13,8,13,4,0,0,0,0,0,0,9,4,0,0,4
0,2,13,9,1,0,0,0,0,8,15,13,10,0,0,0,0,2,6,1,12,0,0,0,0,0,0,4,12,0,0,0,0,0,0,12,6,0,0,0,0,0,8,12,0,0,0,0,0,2,16,11,14,16,9,0,0,2,15,12,11,5,1,0,2
0,0,6,14,16,5,0,0,0,3,16,10,14,14,0,0,0,3,6,1,13,9,0,0,0,0,2,15,16,11,0,0,0,0,2,12,14,16,2,0,0,0,0,0,1,16,7,0,0,0,6,13,10,15,3,0,0,0,10,16,13,5,0,0,3
0,0,5,13,10,0,0,0,0,1,15,16,16,4,0,0,0,3,11,0,10,7,0,0,0,0,1,0,13,0,0,0,0,0,0,5,11,0,0,0,0,0,3,15,3,0,0,0,0,0,8,16,16,15,2,0,0,0,6,13,12,10,2,0,2
0,0,1,13,16,16,9,0,0,0,13,14,12,12,11,0,0,9,16,5,0,0,0,0,0,9,16,6,2,0,0,0,0,3,15,16,15,3,0,0,0,0,3,11,16,10,0,0,0,0,4,16,16,7,0,0,0,0,0,15,15,2,0,0,5
0,0,0,4,13,6,0,0,0,0,0,11,16,12,0,0,0,0,8,16,16,10,0,0,0,6,16,16,16,6,0,0,0,5,12,12,16,3,0,0,0,0,0,10,15,0,0,0,0,0,0,10,14,0,0,0,0,0,0,5,16,2,0,0,1
0,0,3,0,6,15,0,0,0,9,16,14,16,15,0,0,0,5,7,8,14,11,0,0,0,0,1,4,13,11,2,0,0,0,8,16,16,16,12,0,0,0,1,8,15,11,2,0,0,0,0,0,12,12,0,0,0,0,0,0,8,13,0,0,7
0,0,0,11,4,0,0,0,0,0,6,15,2,0,0,0,0,0,14,7,0,0,0,0,0,3,16,9,12,6,0,0,0,4,16,15,10,12,9,0,0,2,16,9,0,0,12,0,0,0,8,13,2,2,14,2,0,0,0,8,15,15,11,0,6
0,0,3,12,12,1,0,0,0,0,15,15,13,11,0,0,0,3,16,4,0,14,2,0,0,5,15,5,0,5,7,0,0,8,8,0,0,4,8,0,0,4,14,0,0,7,11,0,0,0,14,11,12,16,3,0,0,0,3,14,12,4,0,0,0
0,0,2,10,12,11,1,0,0,0,11,14,9,16,3,0,0,2,16,1,11,11,0,0,0,6,16,15,14,3,0,0,0,0,7,16,12,0,0,0,0,0,5,14,11,13,0,0,0,0,7,14,9,14,0,0,0,0,2,13,16,7,0,0,8
0,0,0,0,3,13,4,0,0,0,0,0,11,16,8,0,0,0,0,8,16,16,6,0,0,1,9,16,9,16,2,0,0,7,16,5,5,16,0,0,0,0,2,0,8,13,0,0,0,0,0,0,9,12,0,0,0,0,0,0,5,15,3,0,1
0,0,0,0,9,8,0,0,0,0,0,4,16,2,0,0,0,0,0,15,10,0,0,0,0,0,6,11,1,6,6,0,0,1,14,2,0,9,7,0,0,9,7,0,3,16,2,0,0,7,16,16,16,15,3,0,0,1,4,2,11,3,0,0,4
0,0,0,0,12,14,0,0,0,0,0,1,16,16,1,0,0,0,5,14,16,12,0,0,0,5,16,16,16,8,0,0,0,9,15,9,16,8,0,0,0,0,1,2,16,7,0,0,0,0,0,4,16,10,0,0,0,0,0,0,10,16,6,0,1
0,0,0,2,11,16,12,0,0,0,4,15,14,16,8,0,0,1,16,13,14,16,6,0,0,2,16,16,11,15,5,0,0,0,6,12,16,10,0,0,0,0,0,0,15,6,0,0,0,0,0,2,16,7,0,0,0,0,0,1,16,5,0,0,9
0,0,7,14,12,1,0,0,0,2,16,12,16,8,0,0,0,2,10,0,12,8,0,0,0,0,5,12,16,3,0,0,0,0,5,12,15,13,1,0,0,0,0,0,5,16,3,0,0,0,12,8,4,13,3,0,0,0,9,16,14,9,0,0,3
0,0,3,14,16,16,12,0,0,2,15,16,11,8,6,0,0,9,16,4,0,0,0,0,0,9,16,16,14,3,0,0,0,0,9,9,14,14,0,0,0,0,0,0,5,16,0,0,0,0,0,4,14,12,0,0,0,0,2,16,13,3,0,0,5
0,0,0,1,15,4,0,0,0,0,0,6,16,1,0,0,0,0,0,14,12,0,0,0,0,0,10,16,2,3,0,0,0,4,16,8,3,16,4,0,0,12,16,13,15,16,4,0,0,8,14,12,16,14,5,0,0,0,0,1,16,6,0,0,4
0,0,8,16,11,0,0,0,0,1,14,10,16,5,0,0,0,1,4,7,15,1,0,0,0,0,6,16,15,4,0,0,0,0,0,5,10,16,5,0,0,0,4,0,1,16,4,0,0,0,13,8,15,10,0,0,0,0,11,14,5,0,0,0,3
0,0,10,16,16,16,2,0,0,0,7,8,10,16,0,0,0,0,0,0,10,14,5,0,0,0,8,15,16,16,8,0,0,0,14,16,11,0,0,0,0,0,3,16,2,0,0,0,0,0,10,10,0,0,0,0,0,0,12,3,0,0,0,0,7
0,0,2,11,0,0,0,0,0,0,8,10,0,0,0,0,0,0,14,6,0,0,0,0,0,0,15,3,3,0,0,0,0,3,16,16,16,16,5,0,0,2,15,5,0,5,13,0,0,0,12,13,8,10,15,0,0,0,1,10,16,13,6,0,6
0,0,1,11,14,12,1,0,0,0,11,12,9,16,3,0,0,7,6,6,12,6,0,0,0,6,13,10,14,1,0,0,0,0,12,16,4,0,0,0,0,0,14,13,14,4,0,0,0,0,11,12,11,15,0,0,0,0,1,9,14,14,1,0,8
0,0,11,15,9,0,0,0,0,0,13,9,13,10,0,0,0,0,13,6,1,11,3,0,0,4,12,0,0,4,8,0,0,8,7,0,0,5,8,0,0,7,8,0,5,15,3,0,0,2,14,10,16,10,0,0,0,0,12,12,3,0,0,0,0
0,0,9,16,10,0,0,0,0,0,4,10,15,2,0,0,0,0,13,0,4,13,0,0,0,4,16,0,0,13,2,0,0,7,12,0,0,10,6,0,0,8,13,1,2,13,8,0,0,5,16,16,16,16,2,0,0,0,9,16,15,8,0,0,0
0,3,14,9,5,0,0,0,0,0,7,10,16,0,0,0,0,0,0,2,14,0,0,0,0,0,0,10,6,0,0,0,0,0,3,15,1,0,0,0,0,1,13,8,0,0,0,0,0,8,16,10,12,15,7,0,0,3,12,16,13,8,3,0,2
0,0,7,15,6,0,0,0,0,0,5,8,14,7,0,0,0,0,7,2,4,13,2,0,0,0,14,3,0,12,4,0,0,2,16,0,1,14,5,0,0,5,13,0,7,16,3,0,0,1,16,9,15,13,0,0,0,0,9,15,10,1,0,0,0
0,0,0,5,16,2,0,0,0,0,1,15,8,0,0,0,0,0,10,13,0,2,2,0,0,6,15,6,10,16,12,0,0,13,16,16,14,16,10,0,0,8,12,5,7,16,4,0,0,0,0,2,14,8,0,0,0,0,0,9,13,1,0,0,4
0,0,2,14,11,1,0,0,0,0,8,13,2,0,0,0,0,0,12,8,0,0,0,0,0,0,16,4,0,0,0,0,0,0,16,12,15,11,4,0,0,2,16,12,4,5,14,0,0,0,13,11,4,12,15,1,0,0,3,11,16,12,3,0,6
0,0,1,11,2,0,0,11,0,0,5,16,3,0,7,15,0,0,8,16,0,1,15,7,0,0,8,16,8,13,12,0,0,0,7,16,16,16,6,0,0,0,0,4,14,12,0,0,0,0,0,6,14,0,0,0,0,0,2,15,6,0,0,0,4
0,0,1,13,1,0,0,0,0,0,7,14,0,0,0,0,0,0,12,7,0,0,0,0,0,0,14,5,0,0,0,0,0,1,16,4,4,4,1,0,0,0,14,15,11,10,12,0,0,0,8,11,0,4,15,4,0,0,1,10,16,14,9,0,6
0,0,0,4,12,15,5,0,0,1,10,15,14,16,7,0,0,3,16,16,16,16,7,0,0,0,3,4,3,13,8,0,0,0,0,0,2,16,4,0,0,0,0,0,11,11,0,0,0,0,0,1,14,5,0,0,0,0,0,3,16,2,0,0,9
0,0,15,16,16,16,3,0,0,0,7,8,10,16,4,0,0,0,0,0,8,15,0,0,0,0,4,7,16,15,6,0,0,9,16,16,14,13,3,0,0,2,11,15,2,0,0,0,0,0,13,9,0,0,0,0,0,2,16,4,0,0,0,0,7
0,0,6,13,16,11,0,0,0,11,16,11,4,16,4,0,0,3,13,13,9,16,1,0,0,0,0,10,16,8,0,0,0,0,0,13,16,9,0,0,0,0,7,14,6,13,0,0,0,0,8,13,10,15,0,0,0,0,5,14,14,6,0,0,8
0,0,0,2,8,13,14,2,0,0,5,14,9,4,16,5,0,1,14,0,5,14,13,0,0,0,16,16,13,16,5,0,0,0,1,0,7,9,0,0,0,0,0,0,13,2,0,0,0,0,0,2,13,0,0,0,0,0,0,3,10,0,0,0,9
0,0,0,2,13,14,1,0,0,2,9,16,16,16,2,0,0,12,16,16,16,16,2,0,0,10,12,3,16,12,0,0,0,0,0,5,16,8,0,0,0,0,0,5,16,5,0,0,0,0,0,5,16,7,0,0,0,0,0,2,15,9,0,0,1
0,0,3,10,16,11,0,0,0,3,12,10,6,16,2,0,0,9,16,6,12,11,1,0,0,0,5,16,15,0,0,0,0,0,7,12,15,2,0,0,0,0,10,5,6,11,0,0,0,0,11,4,10,13,0,0,0,0,3,16,14,5,0,0,8
0,0,0,12,14,6,0,0,0,1,5,1,8,16,3,0,0,4,15,12,16,16,3,0,0,0,12,16,12,2,0,0,0,4,16,14,11,0,0,0,0,4,15,5,15,2,0,0,0,0,9,16,15,8,0,0,0,0,0,10,16,9,0,0,8
0,0,3,14,14,3,0,0,0,0,7,6,5,14,0,0,0,0,7,7,3,13,3,0,0,0,2,15,15,5,0,0,0,0,8,16,11,0,0,0,0,1,14,3,10,4,0,0,0,1,13,3,3,11,0,0,0,0,4,10,16,11,0,0,8
0,0,4,12,16,4,0,0,0,0,15,15,6,15,0,0,0,3,16,11,0,8,4,0,0,4,11,3,0,4,8,0,0,5,8,0,0,9,7,0,0,1,12,0,0,13,5,0,0,0,13,10,14,11,0,0,0,0,4,12,13,1,0,0,0
0,0,0,6,12,0,0,0,0,0,5,14,4,0,0,0,0,1,15,3,0,1,12,0,0,2,16,2,0,8,11,0,0,3,16,15,10,15,6,0,0,0,2,12,14,13,1,0,0,0,0,0,12,5,0,0,0,0,0,7,13,0,0,0,4
0,0,0,0,6,15,1,0,0,0,0,3,14,16,4,0,0,0,4,15,16,16,2,0,0,4,16,13,6,16,0,0,0,5,7,0,7,16,0,0,0,0,0,0,8,16,0,0,0,0,0,0,10,16,0,0,0,0,0,0,4,12,0,0,1
0,1,9,15,16,13,4,0,0,6,9,4,4,13,8,0,0,0,0,0,7,15,4,0,0,0,0,10,16,8,0,0,0,0,0,4,12,13,1,0,0,0,0,0,0,14,8,0,0,0,6,4,7,15,6,0,0,0,8,16,12,5,0,0,3
0,0,0,12,3,0,0,0,0,0,6,13,0,0,0,0,0,0,11,7,0,0,0,0,0,0,13,2,2,2,0,0,0,1,16,11,16,16,6,0,0,0,15,12,4,14,13,0,0,0,10,11,7,16,12,0,0,0,0,11,15,11,2,0,6
0,0,4,11,7,1,0,0,0,0,9,16,16,12,0,0,0,0,10,16,16,8,0,0,0,0,10,16,16,10,0,0,0,2,15,16,16,8,0,0,0,0,16,16,16,4,0,0,0,0,5,16,16,13,2,0,0,0,5,10,11,8,3,0,1
0,0,1,8,14,8,0,0,0,7,16,15,10,5,0,0,0,14,10,2,0,0,0,0,0,4,14,8,0,0,0,0,0,0,2,13,11,0,0,0,0,0,0,1,12,7,0,0,0,0,2,13,10,16,0,0,0,0,0,13,12,11,1,0,5
0,2,16,9,0,0,0,0,0,2,16,16,10,1,0,0,0,0,1,7,16,13,0,0,0,1,5,0,8,16,3,0,0,4,8,0,0,12,7,0,0,5,10,0,5,15,4,0,0,8,15,14,16,10,0,0,0,3,15,15,8,1,0,0,0
0,2,8,10,13,15,8,0,0,1,16,15,10,7,2,0,0,0,10,14,2,0,0,0,0,0,0,12,12,0,0,0,0,0,0,0,11,10,0,0,0,0,0,0,1,14,3,0,0,0,0,2,7,15,3,0,0,0,12,16,10,4,0,0,5
0,1,7,16,16,16,8,0,0,10,16,14,12,10,3,0,0,12,14,1,0,0,0,0,0,2,15,13,1,0,0,0,0,0,2,16,11,0,0,0,0,0,1,5,15,7,0,0,0,0,11,10,13,16,1,0,0,0,8,16,16,10,0,0,5
0,1,13,16,14,6,1,0,0,0,13,7,8,16,4,0,0,0,2,1,12,15,2,0,0,0,2,15,13,3,0,0,0,0,3,14,15,6,0,0,0,0,0,1,8,16,3,0,0,4,15,10,5,16,5,0,0,3,12,15,16,13,1,0,3
0,0,0,12,12,0,0,0,0,0,9,16,9,0,0,0,0,3,16,14,5,5,2,0,0,6,16,16,16,16,9,0,0,0,5,8,13,16,6,0,0,0,0,1,15,16,2,0,0,0,0,5,16,11,0,0,0,0,0,11,16,9,0,0,4
0,0,11,14,16,8,0,0,0,1,12,12,14,16,3,0,0,0,0,0,4,16,4,0,0,0,0,0,7,16,3,0,0,0,7,8,15,16,11,0,0,5,16,16,16,8,0,0,0,0,7,13,14,0,0,0,0,0,15,15,3,0,0,0,7
0,0,6,14,15,4,0,0,0,3,16,10,11,14,0,0,0,2,8,0,6,16,2,0,0,0,0,0,8,10,0,0,0,0,0,0,14,7,0,0,0,0,0,7,13,0,0,0,0,0,4,16,11,14,4,0,0,0,5,15,13,8,1,0,2
0,0,0,5,12,0,0,0,0,0,0,13,13,0,0,0,0,0,5,16,3,0,0,0,0,0,8,15,0,0,0,0,0,0,10,12,8,6,0,0,0,2,15,15,12,14,9,0,0,0,8,15,6,12,12,0,0,0,0,8,13,15,5,0,6
0,0,7,10,12,16,14,1,0,0,10,15,12,15,15,1,0,0,0,0,1,13,11,0,0,0,0,0,5,16,10,0,0,0,7,12,15,16,9,0,0,0,9,15,16,3,0,0,0,0,3,15,8,0,0,0,0,0,9,15,2,0,0,0,7
0,0,3,8,12,14,15,3,0,0,4,8,4,8,16,3,0,0,0,0,0,6,14,0,0,0,2,10,12,15,8,0,0,0,9,8,15,12,4,0,0,0,0,5,15,3,0,0,0,0,0,10,10,0,0,0,0,0,2,16,4,0,0,0,7
0,0,1,15,0,0,0,0,0,0,4,15,1,0,0,0,0,0,12,9,0,0,0,0,0,1,16,9,2,0,0,0,0,5,16,13,14,10,2,0,0,2,16,5,0,10,9,0,0,1,13,12,8,12,11,0,0,0,1,12,13,10,3,0,6
0,0,5,12,13,9,5,0,0,1,14,8,6,14,14,0,0,0,6,0,3,15,9,0,0,0,3,12,13,4,0,0,0,0,12,16,14,6,0,0,0,0,0,1,10,16,3,0,0,0,3,8,11,15,3,0,0,0,6,14,10,2,0,0,3
0,0,5,10,15,9,0,0,0,6,14,8,9,16,4,0,0,4,2,2,13,13,0,0,0,0,0,8,16,1,0,0,0,0,0,0,9,13,1,0,0,0,1,2,0,12,7,0,0,0,9,9,4,11,10,0,0,0,4,13,13,10,1,0,3
0,2,16,16,11,2,0,0,0,0,8,11,16,8,0,0,0,0,4,14,15,1,0,0,0,0,13,16,12,1,0,0,0,0,2,8,15,14,1,0,0,0,4,0,3,16,6,0,0,5,15,8,14,15,2,0,0,2,12,12,9,5,0,0,3
0,1,9,12,15,16,7,0,0,10,16,15,12,11,3,0,0,13,16,2,0,0,0,0,0,5,16,13,2,0,0,0,0,0,4,15,15,1,0,0,0,0,2,4,15,9,0,0,0,0,14,14,16,11,0,0,0,0,11,16,12,1,0,0,5
0,0,4,15,13,0,0,0,0,1,15,9,9,9,1,0,0,4,16,6,13,16,4,0,0,0,8,9,6,16,4,0,0,0,0,0,0,16,4,0,0,0,0,0,0,16,5,0,0,0,2,8,5,16,4,0,0,0,3,15,14,7,1,0,9
0,0,0,6,10,14,6,0,0,0,14,16,12,16,8,0,0,0,8,16,16,16,8,0,0,5,12,8,1,13,6,0,0,0,0,0,4,16,3,0,0,0,0,0,12,11,0,0,0,0,0,1,16,2,0,0,0,0,0,9,11,0,0,0,9
0,0,0,13,3,0,0,0,0,0,10,13,1,0,0,0,0,3,16,7,0,1,3,0,0,8,16,8,5,13,15,0,0,4,16,16,16,15,4,0,0,0,3,11,16,5,0,0,0,0,0,13,13,0,0,0,0,0,1,15,3,0,0,0,4
0,0,0,0,13,13,0,0,0,0,2,12,16,16,0,0,0,3,15,16,16,13,0,0,0,11,15,4,14,12,0,0,0,2,2,0,16,11,0,0,0,0,0,0,15,11,0,0,0,0,0,3,16,10,0,0,0,0,0,0,15,15,0,0,1
0,0,3,15,3,0,0,0,0,0,12,14,0,0,5,3,0,2,16,10,0,5,16,5,0,3,16,14,12,15,14,0,0,0,13,16,16,14,3,0,0,0,0,8,16,5,0,0,0,0,0,13,13,0,0,0,0,0,5,16,4,0,0,0,4
0,0,0,4,10,16,14,0,0,0,6,16,12,11,16,2,0,3,15,15,10,15,16,2,0,1,15,16,10,15,14,0,0,0,0,0,1,16,8,0,0,0,0,0,7,15,3,0,0,0,0,0,12,12,0,0,0,0,0,1,16,8,0,0,9
0,7,16,16,16,5,0,0,0,1,8,8,15,7,0,0,0,0,0,3,15,2,0,0,0,0,0,11,13,4,1,0,0,0,8,16,16,16,11,0,0,0,13,14,8,4,2,0,0,5,16,4,0,0,0,0,0,7,12,0,0,0,0,0,7
0,0,2,8,15,14,0,0,0,1,14,12,8,16,0,0,0,6,12,1,5,13,0,0,0,1,2,1,14,5,0,0,0,0,0,9,13,0,0,0,0,0,0,15,4,0,0,0,0,0,0,16,8,11,7,0,0,0,0,9,13,7,0,0,2
0,0,1,14,8,0,0,0,0,0,9,14,2,0,3,3,0,4,16,3,0,2,16,3,0,5,16,9,8,13,12,0,0,2,16,16,16,14,2,0,0,0,0,0,13,9,0,0,0,0,0,8,14,1,0,0,0,0,0,15,7,0,0,0,4
0,0,5,10,14,6,0,0,0,13,16,15,10,3,0,0,0,15,8,0,0,0,0,0,0,8,11,1,0,0,0,0,0,0,7,13,3,0,0,0,0,0,0,5,13,5,0,0,0,0,6,8,13,14,1,0,0,0,4,12,13,11,0,0,5
0,0,0,1,10,15,2,0,0,0,6,14,12,16,6,0,0,4,16,15,13,16,7,0,0,6,16,14,9,16,2,0,0,0,1,0,2,14,0,0,0,0,0,0,8,10,0,0,0,0,0,0,14,3,0,0,0,0,0,0,14,0,0,0,9
0,1,6,13,13,4,0,0,0,9,16,14,15,15,0,0,0,5,5,0,6,13,0,0,0,0,0,1,12,11,0,0,0,0,0,7,14,1,0,0,0,0,1,16,8,0,0,0,0,0,8,16,9,13,10,0,0,0,4,14,16,9,2,0,2
0,0,11,16,7,0,0,0,0,4,16,16,16,0,0,0,0,12,9,4,16,0,0,0,0,8,5,1,16,2,0,0,0,0,0,11,13,0,0,0,0,0,3,16,14,7,9,0,0,0,13,16,16,16,13,0,0,0,13,13,10,2,0,0,2
0,0,1,13,7,0,0,0,0,0,12,15,1,0,0,0,0,6,16,5,0,3,5,0,0,10,16,9,11,16,14,0,0,6,14,16,16,16,5,0,0,0,0,1,16,11,0,0,0,0,0,9,16,2,0,0,0,0,0,14,13,0,0,0,4
0,0,8,13,16,12,1,0,0,6,16,13,14,16,5,0,0,5,14,14,16,14,0,0,0,0,0,4,16,6,0,0,0,0,0,11,12,0,0,0,0,0,3,16,11,0,0,0,0,0,7,16,4,0,0,0,0,0,10,15,1,0,0,0,9
0,0,0,9,14,1,0,0,0,0,5,16,4,0,1,1,0,0,14,13,0,3,13,6,0,1,16,16,16,16,14,1,0,0,7,12,14,16,2,0,0,0,0,0,14,10,0,0,0,0,0,6,16,2,0,0,0,0,0,13,5,0,0,0,4
0,0,5,12,14,4,0,0,0,10,16,15,14,15,0,0,0,8,5,1,10,13,0,0,0,0,0,0,14,10,0,0,0,0,0,11,16,3,0,0,0,0,4,15,13,0,0,0,0,0,12,16,12,9,11,0,0,0,2,14,16,13,7,0,2
0,0,0,12,16,5,0,0,0,0,2,13,16,8,0,0,0,6,15,16,16,10,0,0,0,4,8,9,16,14,0,0,0,0,0,0,14,16,4,0,0,0,0,0,7,16,12,0,0,0,0,7,11,16,12,0,0,0,0,13,16,13,3,0,1
0,0,5,10,13,9,0,0,0,7,16,16,16,14,0,0,0,4,6,5,16,7,0,0,0,0,0,1,16,8,0,0,0,0,0,0,16,16,0,0,0,0,0,0,12,16,3,0,0,0,1,11,16,8,0,0,0,0,6,13,7,0,0,0,3
0,0,0,1,16,1,0,0,0,0,0,7,12,0,0,0,0,0,3,15,4,0,0,0,0,1,14,8,0,10,9,0,0,8,13,0,3,16,2,0,0,8,16,13,16,13,0,0,0,0,8,5,16,6,0,0,0,0,0,1,14,1,0,0,4
0,0,13,10,5,10,0,0,0,4,16,10,8,14,0,0,0,0,14,6,15,10,0,0,0,0,4,16,14,0,0,0,0,0,2,16,8,0,0,0,0,0,8,16,12,0,0,0,0,0,12,16,10,0,0,0,0,0,10,13,2,0,0,0,8
0,0,5,16,16,8,0,0,0,0,10,16,16,11,0,0,0,0,12,13,1,0,0,0,0,0,5,16,1,0,0,0,0,0,0,14,6,0,0,0,0,0,6,10,11,0,0,0,0,0,15,16,16,0,0,0,0,0,5,15,14,0,0,0,5
0,0,0,10,12,0,0,0,0,0,8,16,9,4,0,0,0,0,15,10,0,0,0,0,0,2,16,6,0,0,0,0,0,3,16,10,10,0,0,0,0,1,15,16,16,10,0,0,0,0,9,13,11,16,3,0,0,0,1,9,15,13,0,0,6
0,3,10,12,15,10,1,0,0,6,11,8,14,16,4,0,0,0,0,4,16,12,0,0,0,0,1,15,12,1,0,0,0,0,0,14,12,0,0,0,0,0,0,8,16,1,0,0,0,1,7,14,13,0,0,0,0,3,15,9,1,0,0,0,3
0,1,9,14,16,16,3,0,0,2,16,16,15,12,3,0,0,0,10,16,1,0,0,0,0,0,1,15,7,0,0,0,0,0,0,12,12,0,0,0,0,0,0,9,16,0,0,0,0,2,14,15,14,0,0,0,0,1,16,16,4,0,0,0,5
0,0,0,8,15,5,0,0,0,0,0,15,16,11,0,0,0,0,8,16,16,13,0,0,0,7,16,16,16,16,4,0,0,2,4,0,10,16,10,0,0,0,0,0,8,16,11,0,0,0,0,7,14,16,10,0,0,0,0,11,16,9,1,0,1
0,0,3,10,8,0,0,0,0,4,16,13,12,11,0,0,0,6,16,11,15,16,1,0,0,0,7,13,16,12,0,0,0,0,0,0,13,10,0,0,0,0,0,0,15,9,0,0,0,0,5,12,16,5,0,0,0,0,7,13,8,0,0,0,9
0,0,4,10,14,12,10,0,0,0,7,8,8,12,13,0,0,0,0,0,0,10,12,0,0,0,1,5,8,16,6,0,0,0,5,16,16,13,1,0,0,0,0,7,15,4,0,0,0,0,0,14,12,0,0,0,0,0,2,16,2,0,0,0,7
0,0,6,14,15,6,0,0,0,14,16,16,16,16,0,0,0,8,8,10,16,13,0,0,0,0,0,14,16,7,0,0,0,0,0,6,16,12,0,0,0,0,0,0,12,16,6,0,0,0,0,7,16,16,5,0,0,0,6,16,12,1,0,0,3
0,0,0,9,11,0,0,0,0,0,0,13,16,6,0,0,0,0,7,15,16,5,0,0,0,7,16,16,16,5,0,0,0,1,7,4,15,10,0,0,0,0,0,0,12,14,0,0,0,0,0,6,15,16,0,0,0,0,0,10,16,8,0,0,1
0,0,0,8,14,4,0,0,0,0,8,16,13,1,0,0,0,1,15,13,0,0,0,0,0,2,16,4,0,0,0,0,0,7,16,3,8,7,1,0,0,0,16,16,16,16,11,0,0,0,9,16,16,16,12,0,0,0,1,10,16,12,1,0,6
0,0,14,16,9,12,1,0,0,0,16,10,10,16,6,0,0,0,12,12,13,13,1,0,0,0,4,16,14,1,0,0,0,0,6,16,7,0,0,0,0,1,15,15,12,0,0,0,0,5,16,12,12,0,0,0,0,1,10,14,3,0,0,0,8
0,0,9,14,7,0,0,0,0,2,16,16,16,15,0,0,0,3,16,16,16,10,0,0,0,0,9,16,16,10,0,0,0,0,0,3,16,10,0,0,0,0,0,11,14,9,0,0,0,0,5,16,15,3,0,0,0,0,10,12,4,0,0,0,9
0,0,0,7,14,6,0,0,0,0,11,16,9,2,0,0,0,4,15,10,0,0,0,0,0,9,12,0,3,1,0,0,0,7,13,2,16,12,2,0,0,3,16,2,2,13,9,0,0,0,11,13,6,15,10,0,0,0,0,8,16,13,1,0,6
0,2,9,14,8,7,0,0,0,11,16,16,16,16,0,0,0,6,16,16,16,16,2,0,0,0,0,0,8,16,7,0,0,0,0,0,8,16,4,0,0,0,0,1,15,16,0,0,0,0,4,14,16,7,0,0,0,1,13,14,2,0,0,0,9
0,0,0,8,11,0,0,0,0,0,3,16,5,0,0,0,0,0,11,13,0,0,0,0,0,1,16,5,0,1,0,0,0,7,15,0,3,16,3,0,0,8,13,1,10,16,4,0,0,7,16,16,16,16,2,0,0,0,4,6,5,15,3,0,4
0,1,12,16,8,2,0,0,0,2,16,8,16,15,0,0,0,0,16,9,16,6,0,0,0,0,8,16,8,0,0,0,0,0,9,16,1,0,0,0,0,0,15,16,8,0,0,0,0,3,16,16,9,0,0,0,0,0,7,14,2,0,0,0,8
0,0,0,2,14,1,0,0,0,0,0,10,12,0,0,0,0,0,8,15,1,2,1,0,0,3,15,5,0,12,7,0,0,10,14,0,6,16,2,0,0,8,16,16,16,12,0,0,0,0,2,4,16,5,0,0,0,0,0,2,13,0,0,0,4
0,0,5,11,14,9,1,0,0,6,15,12,13,16,2,0,0,8,5,4,16,9,0,0,0,0,0,4,16,8,0,0,0,0,0,2,15,11,0,0,0,0,0,0,10,16,3,0,0,0,1,11,16,10,1,0,0,0,5,13,6,0,0,0,3
0,0,0,0,10,10,2,0,0,0,0,6,16,7,0,0,0,0,3,16,7,0,0,0,0,0,14,13,0,3,0,0,0,4,16,6,4,16,4,0,0,5,16,9,13,16,6,0,0,0,7,12,16,14,1,0,0,0,0,0,12,14,0,0,4
0,0,9,12,16,16,3,0,0,0,14,16,16,11,0,0,0,0,7,16,2,0,0,0,0,0,1,16,7,0,0,0,0,0,0,12,10,0,0,0,0,0,0,8,15,0,0,0,0,3,14,16,12,0,0,0,0,1,15,16,6,0,0,0,5
0,0,5,11,12,2,0,0,0,5,16,14,14,12,0,0,0,5,7,0,10,10,0,0,0,0,0,1,14,6,0,0,0,0,0,14,12,1,0,0,0,0,11,16,1,0,0,0,0,0,15,13,8,5,2,0,0,0,3,12,16,15,9,0,2
0,0,2,10,15,16,16,5,0,0,10,13,12,14,16,6,0,0,0,0,0,8,16,1,0,0,0,4,4,14,12,0,0,0,6,16,16,16,8,0,0,0,2,11,16,11,1,0,0,0,0,12,15,0,0,0,0,0,1,16,8,0,0,0,7
0,0,4,14,15,3,0,0,0,0,14,16,16,9,0,0,0,0,11,16,16,15,0,0,0,0,3,13,16,16,1,0,0,0,0,0,3,16,6,0,0,0,0,0,13,16,1,0,0,0,2,11,16,12,0,0,0,0,6,15,10,1,0,0,9
0,0,0,7,16,6,0,0,0,2,9,16,16,11,0,0,0,10,16,12,13,16,1,0,0,2,4,1,7,16,5,0,0,0,0,0,2,16,10,0,0,0,0,0,2,16,13,0,0,0,0,4,14,16,12,0,0,0,0,4,14,9,2,0,1
0,0,6,16,16,11,0,0,0,0,15,16,14,8,0,0,0,0,9,13,0,0,0,0,0,0,3,15,1,0,0,0,0,0,0,11,8,0,0,0,0,0,2,13,14,0,0,0,0,0,16,16,13,0,0,0,0,0,7,16,6,0,0,0,5
0,0,0,13,14,2,0,0,0,0,7,16,12,2,0,0,0,0,14,14,1,0,0,0,0,0,15,11,0,0,0,0,0,4,16,16,14,14,4,0,0,2,16,16,13,10,14,0,0,0,9,13,8,12,16,1,0,0,1,11,16,16,10,0,6
0,0,0,8,14,16,6,0,0,3,13,16,13,15,14,0,0,3,12,6,0,11,16,0,0,0,0,0,4,15,13,0,0,0,0,12,16,16,11,0,0,0,1,11,16,11,0,0,0,0,0,7,16,5,0,0,0,0,0,11,12,0,0,0,7
0,0,2,7,13,3,0,0,0,0,10,16,12,13,0,0,0,0,15,9,1,12,4,0,0,1,15,0,0,8,7,0,0,5,8,0,0,12,5,0,0,1,11,0,1,15,4,0,0,0,14,13,15,10,0,0,0,0,3,13,14,3,0,0,0
0,0,0,14,8,1,0,0,0,0,9,16,16,4,0,0,0,11,16,16,14,0,0,0,0,5,8,14,16,2,0,0,0,0,0,7,16,6,0,0,0,0,0,4,16,12,0,0,0,0,1,6,16,14,0,0,0,0,2,14,16,9,0,0,1
0,0,3,12,13,1,0,0,0,0,14,16,15,11,0,0,0,0,15,15,15,14,0,0,0,0,11,16,15,16,2,0,0,0,1,5,3,16,6,0,0,0,0,0,1,16,6,0,0,0,0,5,15,16,4,0,0,0,6,16,16,6,0,0,9
0,0,9,16,7,5,0,0,0,0,9,16,16,16,0,0,0,0,7,16,15,6,0,0,0,0,7,16,7,0,0,0,0,0,14,16,5,0,0,0,0,3,16,16,4,0,0,0,0,1,16,16,5,0,0,0,0,0,7,12,1,0,0,0,8
0,0,0,1,11,5,0,0,0,0,0,13,12,1,0,0,0,0,8,14,3,0,0,0,0,2,16,6,2,12,4,0,0,7,16,7,8,15,5,0,0,2,16,16,16,11,0,0,0,0,4,10,16,7,0,0,0,0,0,3,14,4,0,0,4
0,0,1,14,15,3,0,0,0,0,9,16,16,8,0,0,0,9,16,16,14,10,0,0,0,0,3,8,16,14,0,0,0,0,0,2,16,16,2,0,0,0,0,0,13,16,9,0,0,0,1,10,16,16,9,0,0,0,2,10,15,10,0,0,1
0,0,4,12,16,9,0,0,0,0,13,10,4,14,3,0,0,5,13,1,0,12,4,0,0,4,12,0,0,8,8,0,0,6,12,0,0,10,7,0,0,3,15,0,2,16,3,0,0,0,16,13,15,11,0,0,0,0,6,15,10,0,0,0,0
0,0,1,10,13,0,0,0,0,0,11,16,9,0,0,0,0,0,15,12,0,0,0,0,0,3,16,5,0,0,0,0,0,5,16,8,12,10,1,0,0,2,16,8,10,15,9,0,0,0,9,14,8,12,15,0,0,0,0,8,14,15,8,0,6
0,0,1,9,13,16,8,0,0,0,12,13,9,11,14,0,0,0,0,0,0,9,12,0,0,0,0,5,9,15,10,0,0,0,5,16,16,16,5,0,0,0,0,0,13,12,0,0,0,0,0,2,16,7,0,0,0,0,0,9,16,0,0,0,7
0,0,6,16,16,10,0,0,0,5,16,16,13,6,0,0,0,1,15,15,1,0,0,0,0,0,4,16,5,0,0,0,0,0,0,14,11,0,0,0,0,0,0,13,14,0,0,0,0,0,9,16,11,0,0,0,0,0,8,15,5,0,0,0,5
0,0,0,12,9,0,0,0,0,0,4,16,16,2,0,0,0,5,15,16,16,3,0,0,0,6,14,13,15,12,0,0,0,0,0,0,8,16,2,0,0,0,0,0,0,16,10,0,0,0,0,7,9,15,15,0,0,0,0,10,16,14,5,0,1
0,2,15,12,3,6,0,0,0,5,16,13,6,16,6,0,0,6,16,1,3,16,2,0,0,0,15,11,15,14,0,0,0,0,9,16,16,3,0,0,0,0,13,16,6,0,0,0,0,8,16,16,2,0,0,0,0,3,15,13,0,0,0,0,8
0,0,5,13,14,1,0,0,0,0,14,16,16,9,0,0,0,0,10,16,16,14,0,0,0,0,2,12,14,16,2,0,0,0,0,0,8,16,2,0,0,0,0,4,15,16,2,0,0,0,5,16,16,14,0,0,0,0,4,14,15,1,0,0,9
0,0,1,13,10,0,0,0,0,0,10,16,7,0,0,0,0,3,16,7,0,0,0,0,0,3,16,3,0,0,0,0,0,8,16,6,8,7,0,0,0,3,15,16,16,16,8,0,0,0,9,16,16,16,5,0,0,0,0,8,15,9,0,0,6
0,1,7,14,16,11,0,0,0,11,16,12,15,16,1,0,0,8,4,3,16,10,0,0,0,0,0,1,16,7,0,0,0,0,0,0,16,11,0,0,0,0,0,0,12,16,0,0,0,0,2,7,15,13,0,0,0,0,10,15,9,1,0,0,3
0,1,9,14,7,2,0,0,0,8,16,11,16,14,2,0,0,5,16,14,16,16,4,0,0,0,4,7,10,16,7,0,0,0,0,0,4,16,8,0,0,0,0,0,6,16,9,0,0,0,4,11,16,11,0,0,0,0,12,14,8,0,0,0,9
0,0,0,0,13,6,0,0,0,0,1,10,13,3,0,0,0,0,5,16,5,0,0,0,0,2,15,9,0,1,0,0,0,7,16,1,5,16,6,0,0,8,16,12,16,14,0,0,0,2,11,13,16,12,0,0,0,0,0,1,14,5,0,0,4
0,0,5,12,13,1,0,0,0,3,15,14,7,10,0,0,0,0,15,7,14,16,2,0,0,0,8,16,16,9,0,0,0,0,3,16,16,1,0,0,0,0,12,16,16,6,0,0,0,1,16,16,16,7,0,0,0,0,6,14,12,1,0,0,8
0,0,9,16,16,8,0,0,0,2,16,16,13,4,0,0,0,3,16,6,1,0,0,0,0,0,11,11,0,0,0,0,0,0,2,14,5,0,0,0,0,0,0,12,10,0,0,0,0,0,10,16,15,0,0,0,0,0,10,15,6,0,0,0,5
0,0,13,10,2,8,0,0,0,2,16,13,13,14,0,0,0,0,14,4,12,11,0,0,0,0,12,13,16,5,0,0,0,0,3,16,13,0,0,0,0,0,9,16,9,0,0,0,0,0,16,16,10,0,0,0,0,0,11,13,2,0,0,0,8
0,1,12,16,10,1,0,0,0,11,15,15,16,8,0,0,0,9,16,16,16,14,0,0,0,0,11,7,6,16,8,0,0,0,0,0,8,13,2,0,0,0,0,8,15,12,0,0,0,0,7,16,15,3,0,0,0,0,9,8,1,0,0,0,9
0,0,0,0,11,9,0,0,0,0,0,8,15,3,0,0,0,0,4,15,5,0,0,0,0,1,14,9,0,5,3,0,0,8,15,0,1,16,7,0,0,12,15,12,15,15,3,0,0,6,15,12,15,12,0,0,0,0,0,0,10,4,0,0,4
0,0,4,15,16,6,0,0,0,0,14,15,8,14,2,0,0,7,12,2,0,8,4,0,0,7,8,0,0,5,8,0,0,8,8,0,0,9,8,0,0,3,11,0,0,10,7,0,0,0,15,7,8,14,2,0,0,0,5,12,14,6,0,0,0
0,0,4,13,12,1,0,0,0,2,15,12,11,7,0,0,0,1,12,13,15,14,0,0,0,0,3,16,16,5,0,0,0,0,4,16,11,0,0,0,0,0,10,16,16,0,0,0,0,0,14,16,13,0,0,0,0,0,8,13,3,0,0,0,8
0,0,5,15,15,2,0,0,0,4,15,11,16,4,0,0,0,2,4,6,16,2,0,0,0,0,0,14,10,0,0,0,0,0,6,16,2,0,0,0,0,0,9,13,0,0,0,0,0,0,10,15,8,4,3,0,0,0,3,14,16,14,4,0,2
0,0,4,9,7,13,1,0,0,1,16,6,6,14,4,0,0,7,13,0,0,10,8,0,0,8,6,0,0,12,7,0,0,8,5,0,0,13,4,0,0,8,10,0,5,16,4,0,0,1,15,12,15,10,0,0,0,0,5,14,9,1,0,0,0
0,1,6,14,10,1,0,0,0,9,16,15,16,13,0,0,0,6,6,9,16,7,0,0,0,0,0,14,10,0,0,0,0,0,0,8,15,5,0,0,0,0,0,0,13,13,0,0,0,0,2,9,15,8,0,0,0,0,10,16,7,0,0,0,3
0,0,8,16,6,0,0,0,0,0,13,10,8,8,0,0,0,0,8,12,13,15,3,0,0,0,6,16,16,6,0,0,0,0,11,16,6,0,0,0,0,2,14,14,11,0,0,0,0,1,16,11,15,1,0,0,0,0,9,16,10,0,0,0,8
0,0,6,13,11,4,0,0,0,5,16,10,14,12,0,0,0,7,8,1,14,9,0,0,0,0,0,5,15,3,0,0,0,0,2,15,10,0,0,0,0,0,12,14,0,0,0,0,0,4,16,12,4,6,5,0,0,1,9,14,13,12,5,0,2
0,0,2,13,8,0,0,0,0,0,12,15,16,11,0,0,0,2,16,3,3,13,4,0,0,5,13,0,0,9,7,0,0,7,8,0,0,13,3,0,0,3,14,0,1,15,2,0,0,0,14,10,12,12,0,0,0,0,2,13,12,3,0,0,0
0,0,6,16,16,7,0,0,0,1,15,16,14,10,0,0,0,0,15,11,0,0,0,0,0,0,6,16,2,0,0,0,0,0,0,10,10,0,0,0,0,0,0,7,14,0,0,0,0,0,5,12,16,2,0,0,0,0,9,16,10,0,0,0,5
0,0,3,9,13,14,1,0,0,4,16,15,11,14,8,0,0,0,2,0,2,14,6,0,0,0,0,0,10,16,5,0,0,0,5,16,16,16,7,0,0,0,1,10,16,5,0,0,0,0,0,8,16,0,0,0,0,0,0,10,10,0,0,0,7
0,0,0,11,12,0,0,0,0,0,8,16,12,0,0,0,0,0,15,14,1,0,0,0,0,1,15,8,0,0,0,0,0,3,16,6,1,0,0,0,0,1,15,16,16,16,10,0,0,0,8,16,16,16,16,3,0,0,0,7,15,16,9,0,6
0,0,1,15,9,0,0,0,0,0,4,16,16,2,0,0,0,5,15,16,16,5,0,0,0,2,8,11,16,12,0,0,0,0,0,2,16,16,2,0,0,0,0,0,13,16,8,0,0,0,2,8,13,16,8,0,0,0,1,11,14,12,2,0,1
0,0,0,10,11,0,0,0,0,0,3,16,5,8,5,0,0,0,10,14,2,16,2,0,0,4,15,5,8,12,0,0,0,12,16,12,15,16,6,0,0,14,16,16,16,14,2,0,0,0,0,11,13,0,0,0,0,0,0,14,5,0,0,0,4
0,0,6,16,12,1,0,0,0,0,16,10,13,7,0,0,0,0,14,6,10,12,0,0,0,0,5,14,16,16,6,0,0,0,0,0,4,11,9,0,0,0,0,0,0,7,13,0,0,0,10,10,4,11,12,0,0,0,6,14,12,12,5,0,9
0,0,6,14,10,0,0,0,0,0,8,16,16,0,0,0,0,0,8,16,16,1,0,0,0,1,13,16,14,0,0,0,0,3,13,16,13,0,0,0,0,0,7,16,16,0,0,0,0,0,6,16,16,9,0,0,0,0,5,14,16,13,4,0,1
0,0,2,15,5,0,0,0,0,0,5,15,1,7,0,0,0,0,10,10,6,16,0,0,0,5,15,2,13,11,0,0,0,14,15,12,16,16,6,0,0,14,16,16,16,14,3,0,0,1,4,15,11,1,0,0,0,0,2,15,7,0,0,0,4
0,0,13,16,6,0,0,0,0,6,16,13,15,0,0,0,0,4,15,7,16,0,0,0,0,0,3,10,13,0,0,0,0,0,0,14,10,0,0,0,0,1,13,16,1,2,0,0,0,8,16,16,15,16,2,0,0,1,11,15,16,16,3,0,2
0,0,9,16,9,1,0,0,0,5,16,9,16,11,0,0,0,8,12,0,15,12,0,0,0,1,15,16,16,16,2,0,0,0,0,5,4,16,4,0,0,0,0,0,0,13,7,0,0,1,12,12,12,15,9,0,0,1,10,14,8,8,1,0,9
0,1,13,16,9,0,0,0,0,6,16,14,13,0,0,0,0,5,11,8,15,0,0,0,0,0,0,12,9,0,0,0,0,0,3,16,6,0,0,0,0,1,13,13,1,0,0,0,0,11,16,16,16,16,5,0,0,2,12,14,15,16,5,0,2
0,0,10,12,2,0,0,0,0,0,16,14,8,0,0,0,0,0,14,7,12,0,0,0,0,0,1,5,12,0,0,0,0,0,0,9,9,0,0,0,0,0,3,16,2,0,0,0,0,4,16,16,10,6,2,0,0,1,8,8,11,13,10,0,2
0,3,15,11,1,0,0,0,0,8,13,12,7,0,0,0,0,5,5,9,9,0,0,0,0,0,2,14,10,0,0,0,0,0,3,12,15,13,1,0,0,0,0,0,1,15,7,0,0,4,11,5,10,16,4,0,0,4,12,13,12,3,0,0,3
0,0,4,15,14,2,0,0,0,0,14,8,16,2,0,0,0,0,6,3,16,0,0,0,0,0,0,12,16,5,0,0,0,0,0,7,15,16,4,0,0,0,0,0,0,16,4,0,0,0,8,12,10,15,3,0,0,0,6,13,13,4,0,0,3
0,0,3,15,16,16,3,0,0,0,3,9,13,16,2,0,0,0,0,0,10,16,0,0,0,0,6,12,16,16,9,0,0,0,15,16,16,14,7,0,0,0,0,10,15,1,0,0,0,0,2,16,10,0,0,0,0,0,7,15,4,0,0,0,7
0,0,8,16,16,16,7,0,0,0,16,12,8,8,4,0,0,2,16,6,0,0,0,0,0,7,16,16,16,8,0,0,0,2,12,9,9,16,3,0,0,0,0,0,1,16,3,0,0,0,8,11,12,16,2,0,0,0,10,16,14,6,0,0,5
0,2,14,10,1,0,0,0,0,6,13,13,6,0,0,0,0,8,5,6,8,0,0,0,0,3,2,8,6,0,0,0,0,0,0,11,4,0,0,0,0,0,6,14,0,1,0,0,0,3,16,15,12,15,7,0,0,2,13,9,8,9,7,0,2
0,0,6,12,12,12,2,0,0,1,16,12,12,12,5,0,0,5,12,5,1,0,0,0,0,8,16,16,14,0,0,0,0,2,6,0,16,1,0,0,0,0,0,0,15,1,0,0,0,0,8,11,13,0,0,0,0,0,9,9,3,0,0,0,5
0,0,9,6,0,0,0,0,0,0,16,4,0,0,0,0,0,2,15,0,0,0,0,0,0,6,12,1,2,0,0,0,0,7,15,14,16,11,1,0,0,4,16,10,4,16,5,0,0,0,16,11,8,16,6,0,0,0,6,14,14,9,0,0,6
0,1,9,12,12,15,6,0,0,1,16,11,8,8,4,0,0,6,16,5,4,2,0,0,0,7,16,16,16,15,2,0,0,0,2,2,3,14,6,0,0,0,0,0,2,14,6,0,0,2,11,8,12,13,2,0,0,1,11,16,10,2,0,0,5
0,0,0,11,16,10,0,0,0,0,0,15,16,8,0,0,0,0,7,16,16,6,0,0,0,4,16,16,16,4,0,0,0,1,4,12,16,4,0,0,0,0,0,9,16,7,0,0,0,0,0,11,16,15,0,0,0,0,0,8,14,11,2,0,1
0,0,2,15,16,10,0,0,0,0,1,12,14,16,0,0,0,0,0,0,5,16,2,0,0,0,0,0,8,15,1,0,0,0,7,8,14,15,4,0,0,5,16,16,16,15,2,0,0,1,4,14,12,0,0,0,0,0,3,15,5,0,0,0,7
0,0,7,15,12,5,0,0,0,0,15,7,6,16,2,0,0,3,16,3,10,16,6,0,0,0,14,16,16,11,2,0,0,0,1,14,16,3,0,0,0,0,2,14,15,12,0,0,0,0,12,8,8,16,0,0,0,0,9,16,14,10,0,0,8
0,0,10,11,10,2,0,0,0,0,16,14,14,10,0,0,0,3,16,13,12,9,0,0,0,4,16,16,14,15,2,0,0,0,0,0,0,12,4,0,0,0,0,0,0,13,7,0,0,0,7,8,14,14,1,0,0,0,10,13,9,0,0,0,5
0,0,1,12,16,3,0,0,0,0,7,11,8,12,0,0,0,2,14,1,0,14,1,0,0,4,14,0,0,11,7,0,0,3,13,0,0,5,8,0,0,0,13,4,0,9,7,0,0,0,10,13,8,14,1,0,0,0,1,9,14,6,0,0,0
0,0,4,15,16,15,2,0,0,0,16,12,10,15,9,0,0,2,16,5,0,9,11,0,0,0,15,6,0,8,10,0,0,1,16,7,0,13,6,0,0,2,16,10,4,16,0,0,0,0,10,16,16,8,0,0,0,0,2,14,12,2,0,0,0
0,0,14,10,0,0,0,0,0,2,16,14,4,0,0,0,0,0,9,8,8,0,0,0,0,0,0,10,4,0,0,0,0,0,2,15,2,0,0,0,0,2,13,9,0,2,1,0,0,8,16,13,13,16,5,0,0,1,9,15,16,16,7,0,2
0,0,0,10,16,13,7,0,0,0,2,9,10,15,11,0,0,0,0,0,0,13,8,0,0,0,1,7,9,16,5,0,0,0,7,16,16,15,5,0,0,0,0,0,14,3,0,0,0,0,0,6,16,1,0,0,0,0,0,16,8,0,0,0,7
0,0,4,14,13,3,0,0,0,1,15,11,16,9,0,0,0,2,15,0,10,14,0,0,0,0,13,11,13,16,4,0,0,0,1,11,12,14,7,0,0,0,0,0,0,10,9,0,0,3,16,10,6,9,12,0,0,0,6,9,12,13,6,0,9
0,2,11,16,5,0,0,0,0,10,14,12,12,0,0,0,0,3,2,8,11,0,0,0,0,0,0,11,12,0,0,0,0,0,1,13,16,10,0,0,0,0,0,0,4,16,5,0,0,0,8,6,6,16,10,0,0,2,12,13,12,10,1,0,3
0,0,0,10,13,3,0,0,0,0,0,13,16,7,0,0,0,0,4,16,16,5,0,0,0,2,16,16,16,6,0,0,0,7,16,16,16,11,0,0,0,0,0,8,16,12,0,0,0,0,0,15,16,14,0,0,0,0,0,8,13,9,0,0,1
0,0,5,14,16,15,2,0,0,0,12,14,11,16,5,0,0,0,3,0,8,15,0,0,0,0,0,3,15,11,0,0,0,1,11,16,16,15,6,0,0,1,13,16,16,13,3,0,0,0,3,16,9,0,0,0,0,0,6,16,2,0,0,0,7
0,0,6,13,2,0,0,0,0,3,15,14,8,0,0,0,0,8,6,5,12,0,0,0,0,3,2,4,10,0,0,0,0,0,0,8,8,0,0,0,0,0,0,13,4,0,0,0,0,0,10,16,16,16,7,0,0,0,7,12,10,13,7,0,2
0,0,11,7,0,0,0,0,0,3,16,4,0,0,0,0,0,2,15,2,0,0,0,0,0,3,16,4,0,0,0,0,0,8,16,16,16,10,1,0,0,5,16,7,3,16,8,0,0,0,13,14,11,16,6,0,0,0,9,16,11,2,0,0,6
0,0,3,14,16,16,4,0,0,0,4,9,10,16,5,0,0,0,0,0,7,16,2,0,0,0,3,8,13,16,7,0,0,1,16,16,16,16,9,0,0,0,7,11,15,3,0,0,0,0,0,15,12,0,0,0,0,0,5,16,5,0,0,0,7
0,0,0,6,15,10,1,0,0,0,1,11,16,16,5,0,0,0,8,16,16,16,6,0,0,8,16,16,16,16,6,0,0,0,3,7,16,16,4,0,0,0,0,4,16,16,4,0,0,0,0,6,16,16,7,0,0,0,0,4,14,14,6,0,1
0,0,4,14,11,2,0,0,0,0,8,11,5,16,0,0,0,0,8,13,9,15,6,0,0,0,3,16,16,12,1,0,0,0,11,14,12,0,0,0,0,4,11,1,15,3,0,0,0,6,11,4,7,12,0,0,0,1,8,14,16,9,0,0,8
0,0,7,15,13,2,0,0,0,4,16,6,13,8,0,0,0,0,7,1,13,7,0,0,0,0,0,2,16,11,0,0,0,0,0,1,12,15,6,0,0,0,0,0,0,5,11,0,0,3,13,9,7,13,7,0,0,0,6,13,15,9,1,0,3
0,0,5,12,12,5,0,0,0,0,13,4,5,16,0,0,0,0,15,1,12,14,0,0,0,0,9,16,16,6,0,0,0,0,7,16,16,1,0,0,0,1,13,4,7,11,0,0,0,2,13,1,5,16,0,0,0,0,6,9,9,6,0,0,8
0,1,11,14,0,0,0,0,0,4,15,14,6,0,0,0,0,6,9,7,8,0,0,0,0,3,5,6,11,0,0,0,0,0,0,9,8,0,0,0,0,0,1,14,7,0,0,0,0,1,15,16,16,16,6,0,0,0,8,8,12,13,4,0,2
0,0,5,16,16,16,6,0,0,0,5,10,11,16,3,0,0,0,0,0,10,14,0,0,0,0,1,4,16,10,0,0,0,0,10,16,16,16,6,0,0,0,6,14,13,12,3,0,0,0,2,16,6,0,0,0,0,0,7,14,1,0,0,0,7
0,0,1,9,13,1,0,0,0,0,11,11,13,9,0,0,0,2,15,0,4,16,4,0,0,8,9,0,0,13,6,0,0,5,12,0,0,9,8,0,0,0,15,3,0,8,8,0,0,0,6,14,4,11,7,0,0,0,0,11,16,13,2,0,0
0,0,5,13,15,12,1,0,0,0,16,12,4,4,1,0,0,6,16,5,4,3,0,0,0,6,16,16,16,15,2,0,0,0,3,0,0,12,6,0,0,0,0,0,0,14,5,0,0,0,0,0,8,16,1,0,0,0,4,14,16,7,0,0,5
0,0,10,12,12,5,0,0,0,0,8,16,16,14,0,0,0,0,8,16,16,11,0,0,0,0,13,16,16,7,0,0,0,0,9,16,16,1,0,0,0,0,9,16,16,7,0,0,0,1,15,16,16,7,0,0,0,0,7,12,12,9,0,0,1
0,0,6,13,12,2,0,0,0,6,16,12,16,13,3,0,0,7,13,5,16,16,8,0,0,1,14,16,15,7,0,0,0,0,3,16,14,1,0,0,0,0,4,16,16,11,0,0,0,0,6,16,13,16,4,0,0,0,7,15,12,10,0,0,8
0,0,4,11,10,2,0,0,0,2,16,5,14,9,0,0,0,1,15,4,13,16,3,0,0,0,4,16,15,4,0,0,0,0,2,16,11,0,0,0,0,0,9,11,14,7,0,0,0,0,14,3,5,15,0,0,0,0,5,8,12,10,0,0,8
0,0,8,15,12,3,0,0,0,5,16,6,10,14,0,0,0,7,14,7,14,16,2,0,0,0,11,16,13,6,1,0,0,0,11,16,12,0,0,0,0,0,16,7,10,12,0,0,0,4,16,0,2,16,6,0,0,1,10,16,16,15,2,0,8
0,0,2,9,16,5,0,0,0,0,14,9,10,15,4,0,0,4,16,2,10,16,11,0,0,2,15,16,16,9,0,0,0,0,2,16,16,11,0,0,0,0,10,9,7,16,0,0,0,0,10,11,8,16,0,0,0,0,2,15,14,8,0,0,8
0,0,0,5,14,0,0,0,0,0,0,14,11,0,0,0,0,0,1,16,5,0,0,0,0,0,5,16,1,0,0,0,0,0,12,16,12,4,0,0,0,0,16,16,12,15,7,0,0,0,7,16,11,12,14,0,0,0,0,5,15,16,11,0,6
0,0,0,2,12,3,0,0,0,0,0,9,11,0,0,0,0,0,2,15,6,6,7,0,0,0,13,7,0,16,3,0,0,7,15,3,2,16,2,0,0,13,16,16,16,13,1,0,0,1,4,5,16,6,0,0,0,0,0,4,16,3,0,0,4
0,1,10,16,15,3,0,0,0,8,14,4,16,12,0,0,0,8,13,1,16,12,0,0,0,2,13,16,16,13,0,0,0,0,0,3,9,16,0,0,0,0,6,4,4,16,4,0,0,0,16,13,10,16,5,0,0,0,7,12,13,10,1,0,9
0,0,0,9,16,9,0,0,0,0,0,14,16,11,0,0,0,0,5,16,16,8,0,0,0,3,15,16,16,6,0,0,0,5,15,16,16,7,0,0,0,0,4,16,16,5,0,0,0,0,1,16,16,12,0,0,0,0,1,12,13,12,0,0,1
0,0,4,14,15,9,1,0,0,0,0,14,16,16,4,0,0,0,0,15,16,16,0,0,0,0,7,16,16,13,0,0,0,2,16,16,16,12,0,0,0,0,4,15,16,8,0,0,0,0,5,16,16,12,0,0,0,0,4,14,15,5,0,0,1
0,0,2,15,11,1,0,0,0,0,9,12,14,13,2,0,0,2,15,2,1,13,6,0,0,7,16,0,0,9,8,0,0,4,16,0,0,10,7,0,0,3,16,3,2,14,2,0,0,0,14,14,14,9,0,0,0,0,3,11,13,1,0,0,0
0,0,11,15,8,0,0,0,0,6,16,10,16,0,0,0,0,2,7,8,16,0,0,0,0,0,0,13,16,2,0,0,0,0,0,8,14,13,1,0,0,0,3,0,3,16,5,0,0,0,16,10,12,15,2,0,0,0,12,15,9,2,0,0,3
0,0,0,14,8,0,0,0,0,0,3,16,5,0,0,0,0,0,12,12,10,14,0,0,0,4,16,6,13,11,0,0,0,12,16,7,16,14,3,0,0,15,16,16,16,16,6,0,0,2,5,13,16,4,0,0,0,0,0,15,11,0,0,0,4
0,0,0,5,15,0,0,0,0,0,1,14,12,7,3,0,0,0,10,15,5,16,6,0,0,5,16,7,5,16,3,0,0,12,16,13,15,16,9,0,0,4,12,13,16,13,3,0,0,0,0,7,16,5,0,0,0,0,0,7,15,0,0,0,4
0,1,11,16,8,0,0,0,0,8,16,5,16,3,0,0,0,8,11,0,13,10,0,0,0,3,15,9,11,15,2,0,0,0,1,7,7,15,7,0,0,0,0,0,0,8,12,0,0,1,10,5,4,11,12,0,0,0,8,15,16,15,6,0,9
0,0,5,13,1,0,0,0,0,0,13,11,0,0,0,0,0,0,16,2,0,0,0,0,0,5,16,0,0,0,0,0,0,8,15,9,14,6,0,0,0,7,16,16,10,16,2,0,0,1,16,16,4,16,5,0,0,0,4,14,16,13,0,0,6
0,0,1,11,16,16,13,0,0,0,3,7,4,9,13,0,0,0,0,0,0,10,6,0,0,0,2,4,8,15,6,0,0,0,9,13,15,14,5,0,0,0,1,2,15,0,0,0,0,0,0,12,9,0,0,0,0,0,2,15,3,0,0,0,7
0,0,5,12,14,16,8,0,0,0,16,16,13,12,4,0,0,0,16,14,8,2,0,0,0,1,16,16,16,15,2,0,0,5,16,9,6,16,4,0,0,0,0,0,4,16,4,0,0,0,3,12,15,15,2,0,0,0,5,13,13,2,0,0,5
0,0,2,12,15,5,0,0,0,0,11,9,9,15,3,0,0,0,15,1,0,15,4,0,0,4,10,0,0,13,3,0,0,3,14,0,0,12,8,0,0,0,15,3,0,13,5,0,0,0,10,13,5,16,2,0,0,0,1,13,16,8,0,0,0
0,1,13,9,0,0,0,0,0,10,14,15,2,0,0,0,0,8,6,10,6,0,0,0,0,2,3,10,5,0,0,0,0,0,3,16,2,0,0,0,0,0,6,11,0,0,0,0,0,4,16,15,12,12,6,0,0,0,10,12,12,13,11,0,2
0,2,12,8,0,0,0,0,0,11,16,16,0,0,0,0,0,7,8,14,6,0,0,0,0,1,2,12,8,0,0,0,0,0,0,14,4,0,0,0,0,0,2,16,1,0,0,0,0,2,13,16,9,15,11,0,0,2,14,16,13,15,9,0,2
0,0,13,10,8,8,3,0,0,3,16,16,13,11,3,0,0,5,16,8,0,0,0,0,0,6,16,16,15,6,0,0,0,0,3,2,10,15,3,0,0,0,0,0,5,16,2,0,0,0,4,8,16,8,0,0,0,0,14,14,4,0,0,0,5
0,0,2,11,15,16,15,0,0,0,8,13,12,16,13,0,0,0,0,0,6,16,5,0,0,0,0,6,13,16,7,0,0,0,9,16,16,16,9,0,0,0,5,9,16,5,0,0,0,0,0,11,16,1,0,0,0,0,1,16,9,0,0,0,7
0,0,10,16,15,12,0,0,0,0,14,9,4,4,0,0,0,0,16,0,0,0,0,0,0,5,16,12,12,8,0,0,0,7,15,10,8,15,6,0,0,2,1,0,2,16,4,0,0,0,3,10,14,12,1,0,0,0,10,14,6,0,0,0,5
0,0,6,13,15,8,0,0,0,4,16,12,12,16,5,0,0,6,16,2,5,16,5,0,0,1,15,13,13,16,1,0,0,0,0,7,13,16,1,0,0,0,0,0,4,16,0,0,0,4,16,11,7,16,0,0,0,1,10,13,16,13,0,0,9
0,0,0,9,16,11,0,0,0,0,6,15,12,16,6,0,0,0,16,11,0,9,12,0,0,5,16,3,0,8,8,0,0,4,16,0,0,8,8,0,0,2,16,7,0,12,5,0,0,0,11,16,14,16,1,0,0,0,1,9,13,6,0,0,0
0,0,5,15,2,0,0,0,0,1,15,10,0,0,0,0,0,8,16,2,0,0,0,0,0,10,13,1,4,6,0,0,0,8,16,13,16,15,9,0,0,6,16,13,1,4,12,0,0,1,16,15,3,8,11,0,0,0,5,12,16,16,4,0,6
0,0,1,12,16,2,0,0,0,0,5,16,15,0,0,0,0,0,13,16,11,0,0,0,0,8,16,16,12,0,0,0,0,7,10,16,15,0,0,0,0,0,0,14,16,2,0,0,0,0,0,13,16,7,0,0,0,0,0,12,16,9,0,0,1
0,0,5,8,11,13,10,0,0,0,12,12,7,4,4,0,0,3,12,0,4,0,0,0,0,5,16,16,16,14,0,0,0,1,7,1,0,14,6,0,0,0,0,0,0,12,4,0,0,7,11,1,6,12,1,0,0,0,8,13,10,2,0,0,5
0,0,2,12,13,7,0,0,0,2,14,5,0,13,2,0,0,10,6,0,2,16,4,0,0,6,13,7,9,16,4,0,0,0,8,12,8,13,4,0,0,0,0,0,0,7,7,0,0,0,0,0,0,4,11,0,0,0,1,14,11,13,12,0,9
0,0,8,16,15,9,0,0,0,2,15,5,3,16,6,0,0,8,12,0,3,16,8,0,0,8,15,10,14,16,5,0,0,1,9,10,3,15,7,0,0,0,0,0,0,15,5,0,0,0,1,4,0,13,7,0,0,0,5,16,16,16,2,0,9
0,0,3,15,15,3,0,0,0,2,14,10,13,9,0,0,0,6,16,1,6,12,0,0,0,9,14,7,14,13,0,0,0,2,12,12,14,14,0,0,0,0,0,0,6,16,0,0,0,0,0,4,5,16,5,0,0,0,2,12,16,16,4,0,9
0,0,0,7,16,2,0,1,0,0,0,11,13,1,13,8,0,0,6,16,4,8,15,1,0,0,15,16,16,16,12,0,0,0,8,8,13,16,3,0,0,0,0,0,13,11,0,0,0,0,0,4,16,4,0,0,0,0,0,9,12,0,0,0,4
0,0,0,8,16,16,16,9,0,0,0,8,8,9,16,8,0,0,0,0,0,7,16,1,0,0,0,0,1,12,14,0,0,0,3,14,16,16,6,0,0,0,4,6,11,10,0,0,0,0,0,3,15,3,0,0,0,0,0,10,11,0,0,0,7
0,0,0,8,15,1,0,0,0,0,0,8,16,5,0,0,0,0,0,14,16,4,0,0,0,0,8,16,16,4,0,0,0,2,15,12,16,6,0,0,0,3,8,1,16,10,0,0,0,0,0,5,15,16,1,0,0,0,0,9,16,16,11,0,1
0,0,1,9,16,16,16,8,0,0,7,15,9,12,13,1,0,0,0,0,0,14,6,0,0,0,0,0,5,15,1,0,0,0,13,16,16,16,8,0,0,1,9,8,14,5,0,0,0,0,0,7,13,0,0,0,0,0,0,14,6,0,0,0,7
0,2,14,16,9,0,0,0,0,10,15,10,16,0,0,0,0,8,12,0,16,5,0,0,0,3,3,3,16,5,0,0,0,0,0,5,16,1,0,0,0,0,0,11,13,0,0,0,0,0,7,16,13,11,11,1,0,1,15,16,16,16,16,5,2
0,1,12,16,16,8,0,0,0,8,14,8,16,8,0,0,0,1,2,9,15,3,0,0,0,0,12,15,3,0,0,0,0,0,10,15,9,1,0,0,0,0,1,9,16,11,0,0,0,0,1,0,3,16,4,0,0,2,15,16,16,15,4,0,3
0,0,1,16,13,0,0,0,0,0,3,16,15,0,0,0,0,0,12,16,16,0,0,0,0,3,16,16,16,0,0,0,0,7,7,12,16,0,0,0,0,0,0,7,16,3,0,0,0,0,0,10,16,14,1,0,0,0,2,13,16,16,12,0,1
0,0,0,7,15,1,0,0,0,0,1,15,5,2,4,0,0,0,10,10,2,16,6,0,0,4,16,3,9,14,0,0,1,15,14,12,15,10,0,0,5,15,12,11,16,4,0,0,0,0,0,6,15,1,0,0,0,0,0,9,12,0,0,0,4
0,0,9,15,15,3,0,0,0,8,15,11,16,6,0,0,0,2,1,12,15,1,0,0,0,0,6,16,7,0,0,0,0,0,2,15,15,3,0,0,0,0,0,1,7,15,5,0,0,0,14,1,0,12,12,0,0,0,8,16,16,16,10,0,3
0,0,11,16,10,0,0,0,0,2,16,14,15,0,0,0,0,0,13,7,16,1,0,0,0,0,0,6,16,1,0,0,0,0,0,10,12,0,0,0,0,0,1,15,8,0,0,0,0,0,12,16,15,10,4,0,0,0,11,11,8,13,16,6,2
0,0,0,3,15,5,0,0,0,0,1,12,15,1,6,5,0,0,10,16,2,5,16,4,0,2,16,10,0,13,10,0,0,12,16,11,11,16,1,0,0,4,14,16,16,9,0,0,0,0,0,7,16,1,0,0,0,0,0,6,14,0,0,0,4
0,0,8,16,16,8,0,0,0,6,14,8,16,9,0,0,0,3,3,9,13,3,0,0,0,0,0,11,15,2,0,0,0,0,0,1,13,13,1,0,0,0,0,0,1,16,5,0,0,0,7,8,4,12,7,0,0,0,10,16,16,16,4,0,3
0,0,0,2,15,5,0,0,0,0,0,10,14,0,3,0,0,0,3,16,3,6,16,2,0,1,14,8,0,14,10,0,1,12,14,8,11,16,5,0,5,16,16,15,16,11,1,0,1,3,0,1,16,6,0,0,0,0,0,5,15,1,0,0,4
0,0,9,16,15,1,0,0,0,6,14,9,16,4,0,0,0,3,4,11,15,0,0,0,0,0,8,16,1,0,0,0,0,0,3,14,10,0,0,0,0,0,0,2,15,8,0,0,0,0,5,6,5,16,5,0,0,0,13,16,16,16,5,0,3
0,1,14,15,2,0,0,0,0,9,15,15,12,0,0,0,0,9,12,8,15,0,0,0,0,3,5,9,10,0,0,0,0,0,0,11,11,0,0,0,0,0,1,15,7,0,0,0,0,0,7,16,11,7,4,0,0,1,15,16,16,16,16,5,2
0,0,12,16,10,0,0,0,0,3,16,6,14,9,0,0,0,7,14,0,3,15,3,0,0,9,12,0,0,8,10,0,0,8,12,0,0,4,12,0,0,7,13,0,0,5,12,0,0,2,16,6,2,13,9,0,0,0,9,16,16,13,0,0,0
0,0,15,16,13,2,0,0,0,3,15,2,10,15,2,0,0,8,12,0,0,10,8,0,0,8,12,0,0,4,12,0,0,9,12,0,0,4,12,0,0,8,12,0,0,9,8,0,0,6,15,4,11,14,2,0,0,0,12,16,15,3,0,0,0
0,0,11,16,16,16,6,0,0,4,16,13,10,4,2,0,0,4,16,0,0,0,0,0,0,1,15,10,0,0,0,0,0,0,6,15,9,0,0,0,0,2,1,3,16,1,0,0,0,9,11,5,16,2,0,0,0,1,11,16,14,0,0,0,5
0,0,2,14,11,0,0,0,0,0,13,7,9,6,0,0,0,0,12,0,1,12,2,0,0,3,12,0,2,15,4,0,0,1,13,14,12,14,7,0,0,0,0,0,0,12,4,0,0,0,0,0,0,10,3,0,0,0,2,14,12,14,0,0,9
0,0,0,14,7,0,0,0,0,0,0,16,12,0,0,0,0,0,5,16,13,0,0,0,0,1,14,14,16,1,0,0,0,3,3,1,16,5,0,0,0,0,0,0,11,8,0,0,0,0,0,3,13,13,0,0,0,0,0,12,16,16,8,0,1
0,0,6,16,15,2,0,0,0,1,16,10,7,2,0,0,0,6,15,0,0,0,0,0,0,8,15,0,0,0,0,0,0,9,12,5,11,4,0,0,0,5,15,16,14,14,10,0,0,0,11,15,1,6,16,0,0,0,5,12,16,16,8,0,6
0,0,0,7,15,6,0,0,0,0,7,16,4,1,3,0,0,2,16,10,0,14,13,0,0,6,16,7,4,16,8,0,0,6,16,16,14,16,6,0,0,1,7,9,16,13,0,0,0,0,0,4,16,7,0,0,0,0,0,10,12,0,0,0,4
0,4,16,16,6,0,0,0,0,4,14,8,16,0,0,0,0,3,8,5,16,0,0,0,0,0,0,5,16,0,0,0,0,0,0,14,9,0,0,0,0,0,5,15,2,0,0,0,0,1,13,15,11,9,7,0,0,6,16,14,12,12,12,0,2
0,1,13,16,15,1,0,0,0,5,13,10,16,5,0,0,0,0,0,10,14,1,0,0,0,0,7,16,3,0,0,0,0,0,4,16,13,1,0,0,0,0,0,5,16,12,0,0,0,0,6,6,8,16,6,0,0,0,15,16,16,15,1,0,3
0,2,13,16,13,9,2,0,0,1,13,5,4,4,2,0,0,0,12,5,0,0,0,0,0,0,14,16,13,3,0,0,0,0,1,4,8,12,0,0,0,0,0,0,3,16,0,0,0,7,8,4,8,13,0,0,0,3,10,14,12,4,0,0,5
0,0,11,16,16,10,1,0,0,8,16,10,8,10,6,0,0,14,7,0,0,0,0,0,0,9,14,0,0,0,0,0,0,2,15,10,0,0,0,0,0,0,2,15,12,0,0,0,0,3,11,10,16,1,0,0,0,1,11,16,16,2,0,0,5
0,0,0,13,15,2,0,0,0,0,4,16,14,1,0,0,0,0,15,16,11,0,0,0,0,6,9,16,14,0,0,0,0,0,0,10,15,2,0,0,0,0,0,6,16,4,0,0,0,0,0,1,16,11,0,0,0,0,0,15,16,15,0,0,1
0,0,11,14,4,0,0,0,0,3,13,2,12,0,0,0,0,4,12,2,8,0,0,0,0,0,12,12,6,0,0,0,0,0,8,16,10,1,0,0,0,2,15,1,5,10,8,0,0,0,10,0,0,2,12,0,0,0,9,11,12,14,4,0,8
0,0,1,10,16,16,4,0,0,0,7,8,6,16,7,0,0,0,0,0,3,16,5,0,0,1,4,4,10,14,3,0,0,12,16,16,16,10,5,0,0,2,0,9,13,1,0,0,0,0,1,16,7,0,0,0,0,0,0,15,4,0,0,0,7
0,0,0,10,16,16,16,9,0,0,0,2,5,10,16,12,0,0,0,0,0,6,16,2,0,0,0,0,0,14,10,0,0,1,8,14,16,16,5,0,0,5,10,8,16,10,1,0,0,0,0,5,14,1,0,0,0,0,0,13,9,0,0,0,7
0,0,0,4,15,6,0,3,0,0,0,13,14,1,11,11,0,0,8,16,4,4,16,4,0,2,16,6,3,11,13,0,0,12,16,16,16,16,7,0,0,11,9,7,13,14,1,0,0,0,0,1,14,5,0,0,0,0,0,7,12,0,0,0,4
0,1,10,16,16,16,16,5,0,1,16,13,6,1,1,0,0,4,16,15,10,3,0,0,0,1,8,11,16,16,2,0,0,0,1,0,1,14,7,0,0,7,9,0,0,12,8,0,0,5,16,3,0,15,5,0,0,0,9,16,16,13,2,0,5
0,0,8,16,12,1,0,0,0,3,15,5,13,13,0,0,0,10,12,0,1,15,6,0,0,12,9,0,0,7,12,0,0,12,10,0,0,5,12,0,0,8,14,0,0,7,12,0,0,3,16,9,5,15,5,0,0,0,9,16,16,11,0,0,0
0,0,6,16,16,10,0,0,0,1,15,11,6,15,3,0,0,7,16,2,0,11,9,0,0,12,14,0,0,9,11,0,0,8,16,0,0,8,12,0,0,4,16,5,0,9,11,0,0,1,14,13,6,16,3,0,0,0,5,15,16,6,0,0,0
0,0,4,16,14,0,0,0,0,0,8,16,6,0,0,0,0,1,15,16,4,0,0,0,0,10,16,16,4,0,0,0,0,0,5,16,10,0,0,0,0,0,1,16,12,0,0,0,0,0,1,15,16,6,1,0,0,0,6,16,16,16,4,0,1
0,0,1,11,16,16,15,1,0,0,6,9,8,14,14,0,0,0,0,0,0,12,10,0,0,0,1,4,6,16,4,0,0,0,10,16,16,15,7,0,0,0,3,5,16,6,0,0,0,0,0,9,15,0,0,0,0,0,1,15,4,0,0,0,7
0,0,12,16,9,0,0,0,0,3,16,7,5,0,0,0,0,11,13,0,0,0,0,0,0,9,12,0,0,0,0,0,0,9,13,10,15,8,0,0,0,5,16,15,8,11,10,0,0,4,16,12,1,5,16,0,0,1,10,15,16,16,10,0,6
0,0,4,13,15,2,0,0,0,2,16,11,10,8,1,0,0,8,15,1,0,13,10,0,0,8,15,9,13,16,9,0,0,0,10,16,12,16,4,0,0,0,0,0,4,16,4,0,0,0,0,2,5,16,7,0,0,0,4,16,16,16,5,0,9
0,0,0,3,14,7,0,0,0,0,0,12,12,0,3,8,0,0,9,14,0,2,16,6,0,4,16,2,0,10,14,0,1,15,8,3,8,16,4,0,7,16,16,16,16,12,0,0,2,9,5,2,15,3,0,0,0,0,0,5,14,0,0,0,4
0,0,13,15,4,0,0,0,0,8,15,8,10,0,0,0,0,11,12,0,0,0,0,0,0,12,7,0,4,1,0,0,0,11,10,11,16,14,3,0,0,4,16,16,6,7,14,0,0,1,16,14,1,1,14,3,0,0,10,13,16,15,15,0,6
0,0,7,15,13,9,2,0,0,4,15,0,0,10,9,0,0,1,15,5,3,13,5,0,0,0,7,16,13,1,0,0,0,0,10,12,15,4,0,0,0,0,8,1,8,13,0,0,0,11,11,4,1,16,0,0,0,1,9,12,16,12,0,0,8
0,0,7,13,14,2,0,0,0,5,12,0,4,7,0,0,0,8,8,0,0,16,3,0,0,5,11,0,1,16,1,0,0,0,10,13,14,15,5,0,0,0,0,0,0,10,8,0,0,0,0,0,0,11,6,0,0,0,6,13,12,9,0,0,9
0,0,7,15,3,0,0,0,0,0,15,6,0,0,0,0,0,6,13,0,0,0,0,0,0,7,13,0,0,0,0,0,0,8,11,7,13,11,2,0,0,3,16,15,5,4,11,0,0,0,16,6,0,7,11,0,0,0,8,12,15,10,1,0,6
0,2,12,16,16,3,0,0,0,11,10,5,16,4,0,0,0,0,0,11,13,0,0,0,0,0,1,15,9,0,0,0,0,0,0,4,16,5,0,0,0,0,0,0,6,15,3,0,0,0,3,1,0,11,11,0,0,1,16,16,16,16,9,0,3
0,0,1,15,16,13,1,0,0,3,11,11,3,13,9,0,0,12,13,0,0,8,12,0,0,9,15,0,0,8,12,0,0,4,16,2,0,8,12,0,0,2,15,9,0,8,12,0,0,0,10,16,5,14,8,0,0,0,1,12,16,15,1,0,0
0,0,6,12,12,2,0,0,0,4,14,0,9,6,0,0,0,5,13,0,12,3,0,0,0,0,7,14,12,0,0,0,0,0,1,12,13,10,0,0,0,0,10,3,1,12,6,0,0,7,10,0,0,11,8,0,0,1,10,13,12,9,1,0,8
0,0,9,13,16,6,0,0,0,2,16,14,16,2,0,0,0,0,2,14,8,0,0,0,0,0,4,16,13,6,0,0,0,0,0,4,12,16,6,0,0,0,0,0,0,13,7,0,0,0,5,7,12,15,1,0,0,0,12,16,11,1,0,0,3
0,1,12,16,3,0,0,0,0,5,14,14,4,0,0,0,0,9,7,7,8,0,0,0,0,6,2,8,8,0,0,0,0,0,0,10,5,0,0,0,0,0,0,14,2,0,0,0,0,0,9,16,11,8,5,0,0,2,14,11,12,16,9,0,2
0,0,8,16,14,4,0,0,0,1,15,7,9,15,2,0,0,8,11,0,0,12,9,0,0,9,5,0,0,6,12,0,0,9,8,0,0,4,12,0,0,8,12,0,0,9,12,0,0,3,16,6,7,15,5,0,0,0,8,16,16,12,0,0,0
0,0,5,14,9,0,0,0,0,1,14,4,9,0,0,0,0,0,16,0,6,4,0,0,0,0,13,3,13,2,0,0,0,0,1,13,13,0,0,0,0,0,4,14,9,13,3,0,0,0,13,3,0,3,15,0,0,0,5,12,12,15,4,0,8
0,0,1,15,16,16,15,0,0,0,0,8,8,14,10,0,0,0,0,0,4,15,1,0,0,0,0,3,12,12,2,0,0,2,12,16,16,14,7,0,0,3,6,9,10,0,0,0,0,0,0,13,6,0,0,0,0,0,2,16,2,0,0,0,7
0,2,15,9,0,0,0,0,0,8,13,15,0,0,0,0,0,10,4,14,3,0,0,0,0,11,2,12,4,0,0,0,0,1,0,12,4,0,0,0,0,0,2,16,0,0,0,0,0,0,11,14,6,6,5,0,0,2,16,16,16,16,9,0,2
0,0,6,13,12,2,0,0,0,0,14,2,2,10,0,0,0,4,10,0,6,13,0,0,0,4,10,0,8,12,0,0,0,0,11,12,13,13,0,0,0,0,0,3,0,11,0,0,0,0,0,0,0,9,4,0,0,0,5,16,16,13,2,0,9
0,0,8,12,12,0,0,0,0,5,14,2,9,8,0,0,0,4,14,1,11,4,0,0,0,0,7,14,12,1,0,0,0,0,11,11,12,4,0,0,0,3,14,0,2,12,5,0,0,4,12,0,0,1,12,0,0,0,9,11,12,12,4,0,8
0,2,15,13,11,8,1,0,0,7,16,14,13,12,3,0,0,8,16,4,0,0,0,0,0,4,16,16,14,3,0,0,0,0,3,4,13,14,0,0,0,0,0,0,1,15,7,0,0,0,7,3,2,13,10,0,0,2,15,16,16,16,9,0,5
0,0,8,16,9,0,0,0,0,2,15,9,15,3,0,0,0,6,14,0,11,11,0,0,0,7,15,10,16,14,0,0,0,2,13,11,5,16,3,0,0,0,0,0,0,13,6,0,0,0,0,1,4,14,4,0,0,0,10,16,13,5,0,0,9
0,0,1,11,16,16,4,0,0,0,8,10,8,16,3,0,0,0,0,0,3,14,0,0,0,0,0,0,8,8,0,0,0,0,7,11,16,16,8,0,0,11,13,12,11,0,0,0,0,0,0,8,9,0,0,0,0,0,0,14,2,0,0,0,7
0,0,8,12,16,15,8,0,0,3,15,3,0,0,0,0,0,4,12,0,0,0,0,0,0,4,14,12,12,3,0,0,0,0,7,5,5,14,2,0,0,3,2,0,0,11,4,0,0,2,11,0,0,13,2,0,0,0,11,13,12,5,0,0,5
0,0,9,15,2,0,0,0,0,3,16,10,1,0,0,0,0,7,14,0,0,0,0,0,0,9,11,3,8,8,1,0,0,10,11,13,14,15,8,0,0,7,16,14,0,7,12,0,0,3,16,10,4,13,10,0,0,0,10,16,16,13,1,0,6
0,0,0,8,16,6,0,0,0,0,5,15,16,1,0,0,0,5,16,16,13,0,0,0,0,4,9,16,14,0,0,0,0,0,0,16,14,0,0,0,0,0,0,12,15,0,0,0,0,0,0,10,16,5,0,0,0,0,0,6,16,15,1,0,1
0,0,12,16,16,15,2,0,0,0,5,8,10,16,7,0,0,0,0,0,8,15,1,0,0,0,10,13,15,15,8,0,0,0,12,16,15,12,5,0,0,0,1,14,6,0,0,0,0,0,6,16,2,0,0,0,0,0,12,11,0,0,0,0,7
0,0,9,14,8,0,0,0,0,7,12,6,15,3,0,0,0,3,1,0,12,8,0,0,0,0,0,7,15,11,0,0,0,0,0,10,11,15,5,0,0,0,0,0,0,9,8,0,0,0,4,7,4,14,5,0,0,0,8,14,16,14,1,0,3
0,0,11,12,12,14,4,0,0,0,16,8,4,4,5,0,0,2,16,8,4,0,0,0,0,5,16,15,15,9,0,0,0,1,4,1,4,16,3,0,0,0,0,0,0,14,7,0,0,3,7,6,9,16,2,0,0,2,11,12,13,7,0,0,5
0,3,13,12,12,13,2,0,0,3,16,8,5,7,3,0,0,3,14,2,3,0,0,0,0,4,16,15,16,9,0,0,0,0,4,0,2,15,2,0,0,0,0,0,0,12,5,0,0,1,6,4,6,15,5,0,0,3,13,16,16,10,0,0,5
0,0,5,14,11,3,0,0,0,2,16,14,16,14,0,0,0,4,13,4,2,13,4,0,0,8,9,0,0,8,8,0,0,8,10,0,0,7,8,0,0,4,13,0,0,9,8,0,0,0,14,9,4,14,6,0,0,0,4,16,16,8,0,0,0
0,0,0,3,15,1,0,0,0,0,0,7,14,0,0,0,0,0,0,12,10,0,0,0,0,0,3,15,3,0,0,0,0,0,11,14,8,6,0,0,0,5,16,11,16,11,0,0,1,13,16,16,16,16,4,0,0,4,4,7,16,5,0,0,4
0,2,12,12,13,12,1,0,0,8,14,8,4,6,0,0,0,8,14,8,7,1,0,0,0,8,15,12,14,12,0,0,0,0,0,0,1,14,4,0,0,0,0,0,0,12,8,0,0,2,8,4,6,15,7,0,0,0,11,16,15,7,0,0,5
0,1,12,12,1,0,0,0,0,4,14,12,10,0,0,0,0,7,11,4,12,0,0,0,0,2,12,7,12,0,0,0,0,0,0,8,12,0,0,0,0,0,1,14,9,0,0,0,0,0,13,16,16,15,6,0,0,0,9,12,12,12,7,0,2
0,0,0,5,15,1,0,0,0,0,0,11,13,0,0,0,0,0,0,14,10,0,0,0,0,0,7,15,4,0,0,0,0,1,13,9,13,6,0,0,1,12,16,14,16,14,3,0,1,11,12,14,16,12,1,0,0,0,0,8,15,0,0,0,4
0,0,0,13,5,0,0,0,0,0,8,15,3,0,0,0,0,0,12,8,0,0,0,0,0,3,16,13,12,5,0,0,0,5,16,12,12,15,5,0,0,4,12,0,0,8,12,0,0,1,13,10,5,12,14,0,0,0,2,11,14,12,2,0,6
0,0,0,0,11,9,1,0,0,0,0,0,14,15,0,0,0,1,7,11,16,12,0,0,0,6,15,12,16,13,0,0,0,0,0,0,16,12,0,0,0,0,0,0,13,15,1,0,0,0,0,0,12,16,2,0,0,0,0,0,9,16,4,0,1
0,0,0,9,6,0,0,0,0,0,3,15,5,0,0,0,0,0,14,9,0,0,0,0,0,2,16,6,8,2,0,0,0,5,16,16,12,15,4,0,0,3,16,5,0,5,12,0,0,0,8,14,3,3,16,0,0,0,0,9,16,16,10,0,6
0,0,1,13,4,0,0,0,0,0,10,11,0,0,0,0,0,1,16,3,0,0,0,0,0,3,16,16,10,3,0,0,0,6,16,11,10,14,1,0,0,4,16,1,0,7,11,0,0,1,13,7,0,9,12,0,0,0,1,13,16,15,5,0,6
0,1,8,15,13,1,0,0,0,6,14,9,16,4,0,0,0,3,6,1,14,4,0,0,0,0,4,14,16,3,0,0,0,0,9,12,14,16,1,0,0,0,0,0,0,16,8,0,0,3,12,11,10,16,7,0,0,1,10,14,15,10,0,0,3
0,0,4,13,16,7,0,0,0,1,15,13,16,15,1,0,0,5,13,0,7,14,4,0,0,6,9,0,0,8,7,0,0,5,11,0,0,8,8,0,0,4,13,0,0,8,8,0,0,0,14,12,6,16,4,0,0,0,3,16,15,5,0,0,0
0,0,7,15,11,0,0,0,0,5,14,4,12,14,3,0,0,8,11,0,0,16,4,0,0,2,15,9,11,16,4,0,0,0,5,10,8,12,8,0,0,0,0,0,0,9,8,0,0,0,12,7,4,15,7,0,0,0,7,16,15,8,0,0,9
0,0,7,15,16,16,9,0,0,2,15,6,15,15,11,0,0,1,13,0,7,15,3,0,0,1,14,12,15,3,0,0,0,0,10,16,16,4,0,0,0,2,13,2,10,12,0,0,0,1,16,5,8,16,0,0,0,0,8,16,16,7,0,0,8
0,0,7,15,12,1,0,0,0,3,15,5,10,11,0,0,0,0,8,0,4,16,0,0,0,0,0,5,13,9,0,0,0,0,0,8,13,13,1,0,0,0,0,0,1,14,6,0,0,5,15,3,0,15,8,0,0,0,9,16,16,14,3,0,3
0,0,0,15,4,0,0,0,0,0,8,14,0,0,0,0,0,0,14,7,0,0,0,0,0,1,16,9,8,2,0,0,0,2,16,16,15,15,2,0,0,3,16,7,0,6,12,0,0,0,11,12,4,7,15,0,0,0,1,9,16,16,6,0,6
0,0,11,16,16,12,5,0,0,1,16,10,8,8,5,0,0,2,16,10,7,1,0,0,0,3,16,13,14,12,1,0,0,0,5,0,2,15,5,0,0,0,0,0,0,13,7,0,0,0,6,5,10,16,2,0,0,0,12,14,12,6,0,0,5
0,0,10,16,15,13,10,0,0,0,4,4,6,16,6,0,0,0,0,0,8,13,0,0,0,0,9,16,16,16,6,0,0,0,5,13,14,13,5,0,0,0,1,14,3,0,0,0,0,0,6,16,0,0,0,0,0,0,9,10,0,0,0,0,7
0,3,16,15,4,0,0,0,0,8,13,12,12,0,0,0,0,9,8,8,12,0,0,0,0,1,5,5,16,0,0,0,0,0,0,11,12,0,0,0,0,0,1,16,8,0,0,0,0,3,14,16,13,15,12,0,0,3,16,16,16,16,15,0,2
0,0,4,13,7,4,4,0,0,0,12,12,13,16,6,0,0,0,11,0,6,13,0,0,0,0,4,4,13,5,0,0,0,0,16,16,16,16,4,0,0,0,0,12,10,10,1,0,0,0,2,14,2,0,0,0,0,0,6,10,0,0,0,0,7
0,0,6,15,11,3,0,0,0,1,14,16,16,14,0,0,0,4,16,1,9,16,2,0,0,6,16,0,0,13,7,0,0,5,13,0,0,12,8,0,0,4,16,1,0,14,8,0,0,0,14,10,10,15,1,0,0,0,4,13,16,8,0,0,0
0,0,2,13,6,0,0,0,0,0,11,11,3,0,0,0,0,1,16,3,0,0,0,0,0,3,16,11,5,0,0,0,0,3,16,15,4,6,3,0,0,2,16,4,0,7,10,0,0,0,13,8,0,8,13,0,0,0,3,12,16,16,6,0,6
0,0,6,12,13,4,0,0,0,1,16,5,8,15,3,0,0,4,13,0,0,16,5,0,0,2,15,9,11,16,7,0,0,0,1,8,8,14,8,0,0,3,5,0,0,11,8,0,0,2,16,9,6,15,7,0,0,0,3,14,15,6,0,0,9
0,0,0,1,16,8,0,0,0,0,0,5,16,8,0,0,0,0,5,12,16,4,0,0,0,8,16,16,16,3,0,0,0,0,0,9,16,5,0,0,0,0,0,11,16,6,0,0,0,0,0,6,16,12,0,0,0,0,0,2,16,14,1,0,1
0,0,12,13,14,5,0,0,0,0,16,9,8,6,0,0,0,3,16,2,3,0,0,0,0,5,16,16,16,8,0,0,0,0,2,0,4,16,3,0,0,0,0,0,0,15,8,0,0,0,3,0,4,16,7,0,0,0,11,16,16,13,1,0,5
0,0,6,13,13,12,2,0,0,4,15,5,6,11,8,0,0,8,11,0,0,10,6,0,0,3,14,13,13,13,1,0,0,0,8,16,14,9,0,0,0,0,16,4,1,15,0,0,0,0,15,5,6,16,0,0,0,0,5,15,16,9,0,0,8
0,0,5,15,13,3,0,0,0,0,15,7,10,15,1,0,0,0,16,4,2,15,8,0,0,1,10,16,16,16,4,0,0,0,0,0,0,12,7,0,0,5,2,0,3,16,5,0,0,7,14,8,14,14,1,0,0,1,8,16,11,1,0,0,9
0,0,8,13,4,0,0,0,0,2,16,11,15,1,0,0,0,0,12,0,11,5,0,0,0,0,4,2,9,9,0,0,0,0,0,0,12,11,0,0,0,0,0,6,15,4,0,0,0,0,6,16,13,5,8,0,0,0,7,16,16,16,16,5,2
0,0,3,14,12,11,11,0,0,0,7,10,7,13,11,0,0,0,15,3,4,14,0,0,0,0,4,0,10,7,0,0,0,0,11,15,16,16,3,0,0,0,3,10,11,4,0,0,0,0,0,14,5,0,0,0,0,0,3,16,0,0,0,0,7
0,0,0,8,10,0,0,0,0,0,0,15,7,0,0,0,0,0,6,15,1,0,0,0,0,1,14,7,4,2,0,0,0,6,14,4,15,2,0,0,0,14,15,13,16,12,3,0,0,15,12,15,15,11,1,0,0,0,0,13,8,0,0,0,4
0,0,0,0,8,13,0,0,0,0,0,0,16,16,0,0,0,0,0,1,16,14,0,0,0,4,12,15,16,12,0,0,0,0,3,4,16,14,0,0,0,0,0,0,15,16,0,0,0,0,0,0,12,16,2,0,0,0,0,0,11,16,4,0,1
0,1,9,13,14,13,8,0,0,4,14,4,4,4,2,0,0,4,12,0,0,0,0,0,0,5,15,16,16,6,0,0,0,0,4,0,4,16,3,0,0,0,0,0,0,13,7,0,0,0,3,2,5,16,6,0,0,0,10,16,15,8,1,0,5
0,0,0,1,11,10,0,0,0,0,0,6,16,15,0,0,0,4,13,16,16,11,0,0,0,3,8,10,16,10,0,0,0,0,0,4,16,12,0,0,0,0,0,0,16,14,0,0,0,0,0,0,16,16,5,0,0,0,0,0,12,13,6,0,1
0,0,7,14,9,3,0,0,0,0,15,7,15,15,1,0,0,4,12,0,3,13,6,0,0,4,12,0,0,8,8,0,0,5,8,0,0,5,8,0,0,4,12,0,0,8,7,0,0,2,15,6,6,15,2,0,0,0,6,15,16,8,0,0,0
0,0,7,12,14,16,8,0,0,0,16,11,8,8,4,0,0,0,16,1,5,3,0,0,0,5,16,16,16,13,1,0,0,2,9,4,2,14,6,0,0,0,0,0,0,15,5,0,0,0,2,8,10,16,4,0,0,0,6,15,12,6,0,0,5
0,0,4,13,0,0,0,0,0,0,11,9,0,0,0,0,0,3,16,0,0,0,0,0,0,4,16,13,14,6,0,0,0,8,16,10,7,16,3,0,0,4,15,0,0,8,10,0,0,0,15,8,1,9,12,0,0,0,4,13,16,14,3,0,6
0,0,12,14,16,12,0,0,0,1,15,9,5,9,0,0,0,4,16,12,12,5,0,0,0,0,5,5,7,16,3,0,0,0,0,0,0,12,8,0,0,0,0,0,0,9,11,0,0,0,11,6,5,14,12,0,0,0,9,16,16,14,3,0,5
0,0,4,13,13,13,3,0,0,3,16,9,12,16,8,0,0,7,14,0,4,16,5,0,0,2,15,13,15,11,0,0,0,0,10,16,16,10,0,0,0,1,16,5,3,16,4,0,0,0,15,10,5,16,7,0,0,0,5,16,16,9,0,0,8
0,0,2,12,1,0,0,0,0,0,11,12,0,0,0,0,0,0,16,5,0,0,0,0,0,2,16,5,4,1,0,0,0,2,16,16,16,13,2,0,0,1,15,8,0,7,12,0,0,0,8,9,2,5,15,0,0,0,0,11,16,14,8,0,6
0,0,5,12,12,3,0,0,0,1,16,8,13,14,3,0,0,2,16,1,3,16,9,0,0,2,14,11,14,16,6,0,0,0,2,7,5,16,8,0,0,2,3,0,1,15,5,0,0,5,16,5,8,15,2,0,0,0,10,16,13,4,0,0,9
0,0,6,14,15,12,11,0,0,2,15,5,4,4,3,0,0,2,16,11,12,7,0,0,0,5,11,6,6,16,3,0,0,0,0,0,0,13,7,0,0,0,0,0,2,16,3,0,0,4,15,5,12,15,0,0,0,0,9,15,11,1,0,0,5
0,0,0,14,3,0,0,0,0,0,7,15,3,0,0,0,0,0,15,7,0,0,0,0,0,2,16,9,7,2,0,0,0,2,16,13,12,14,5,0,0,0,15,3,0,3,13,0,0,0,11,10,3,4,15,2,0,0,0,9,16,16,13,1,6
0,0,9,13,14,1,0,0,0,2,16,4,16,13,0,0,0,3,16,1,11,14,0,0,0,0,10,16,16,4,0,0,0,1,13,13,15,13,1,0,0,5,13,1,4,16,5,0,0,8,12,2,5,16,4,0,0,1,8,16,16,11,1,0,8
0,0,0,0,12,11,0,0,0,0,0,1,16,9,0,0,0,5,12,13,16,7,0,0,0,2,8,10,16,8,0,0,0,0,0,0,16,9,0,0,0,0,0,0,12,11,0,0,0,0,0,0,11,16,3,0,0,0,0,0,13,16,4,0,1
0,0,14,16,16,16,9,0,0,0,6,8,10,16,6,0,0,0,0,0,9,14,2,0,0,0,13,14,16,14,4,0,0,0,8,16,16,16,11,0,0,0,3,16,4,3,1,0,0,0,11,12,0,0,0,0,0,0,16,8,0,0,0,0,7
0,0,6,14,9,1,0,0,0,0,14,9,13,12,0,0,0,2,13,0,2,15,2,0,0,5,8,0,0,8,4,0,0,8,8,0,0,5,8,0,0,6,11,0,0,6,5,0,0,0,15,7,4,13,3,0,0,0,5,12,16,11,0,0,0
0,0,3,11,16,13,2,0,0,0,14,8,8,15,8,0,0,0,15,11,5,13,12,0,0,0,6,16,16,13,0,0,0,0,13,12,12,15,1,0,0,3,12,0,0,16,5,0,0,1,15,6,7,16,4,0,0,0,6,12,14,7,0,0,8
0,0,0,0,14,12,0,0,0,0,0,0,16,16,0,0,0,1,6,12,16,16,0,0,0,6,12,10,16,14,0,0,0,0,0,0,16,16,0,0,0,0,0,0,16,15,0,0,0,0,0,2,16,16,7,0,0,0,0,1,13,16,4,0,1
0,0,0,12,3,0,0,0,0,0,10,14,1,0,0,0,0,0,14,9,1,0,0,0,0,1,16,16,15,6,0,0,0,3,16,10,5,14,6,0,0,2,16,1,0,5,12,0,0,0,12,9,4,7,15,0,0,0,1,10,16,16,7,0,6
0,1,7,12,12,0,0,0,0,3,12,4,15,3,0,0,0,0,0,1,15,3,0,0,0,0,5,15,13,2,0,0,0,0,1,4,8,15,2,0,0,0,0,0,0,16,5,0,0,3,11,4,5,16,3,0,0,0,10,16,13,7,0,0,3
0,1,10,16,13,2,0,0,0,6,14,9,16,6,0,0,0,0,1,0,13,11,0,0,0,0,1,13,16,11,1,0,0,0,2,12,11,16,8,0,0,0,5,0,0,15,9,0,0,3,16,12,8,16,7,0,0,0,10,16,16,11,1,0,3
0,0,13,16,7,0,0,0,0,0,16,13,16,2,0,0,0,0,11,8,13,8,0,0,0,0,1,1,16,8,0,0,0,0,0,3,16,6,0,0,0,0,0,10,15,2,0,0,0,0,12,16,15,9,9,0,0,0,15,16,16,16,16,5,2
0,0,10,16,16,16,16,4,0,0,4,8,8,14,14,1,0,0,0,0,6,15,4,0,0,0,4,12,15,14,4,0,0,0,11,16,16,16,9,0,0,0,0,14,10,3,0,0,0,0,6,16,5,0,0,0,0,0,12,12,0,0,0,0,7
0,0,0,1,12,16,2,0,0,0,0,0,16,16,1,0,0,6,12,13,16,16,0,0,0,8,16,15,16,16,0,0,0,0,0,0,16,16,0,0,0,0,0,0,16,16,3,0,0,0,0,0,12,16,7,0,0,0,0,0,14,16,6,0,1
0,0,5,11,14,7,0,0,0,4,16,6,9,15,1,0,0,7,12,0,1,16,4,0,0,2,16,9,11,16,6,0,0,0,2,5,4,12,8,0,0,0,0,0,0,10,8,0,0,3,15,7,3,14,8,0,0,0,5,14,16,11,2,0,9
0,1,14,15,4,0,0,0,0,6,15,12,14,0,0,0,0,4,16,4,16,4,0,0,0,0,6,4,16,3,0,0,0,0,0,9,15,0,0,0,0,0,1,14,11,0,0,0,0,0,13,16,10,8,9,1,0,2,14,16,16,16,16,6,2
0,0,8,12,7,0,0,0,0,0,14,8,15,14,0,0,0,3,14,0,6,15,2,0,0,5,11,0,0,9,8,0,0,8,8,0,0,5,8,0,0,5,11,0,0,8,8,0,0,1,15,2,2,14,5,0,0,0,6,15,16,12,1,0,0
0,0,0,3,10,0,0,0,0,0,0,9,8,0,0,0,0,0,4,15,0,0,0,0,0,0,9,9,1,0,0,0,0,3,16,2,10,6,0,0,0,13,16,6,14,12,0,0,0,15,16,16,16,13,0,0,0,0,0,4,13,3,0,0,4
0,0,1,11,4,0,0,0,0,0,5,14,1,0,0,0,0,0,12,7,0,0,0,0,0,1,15,0,4,1,0,0,0,4,15,14,16,14,1,0,0,2,14,5,1,6,11,0,0,1,13,7,0,1,14,0,0,0,3,10,15,16,10,0,6
0,2,12,16,14,1,0,0,0,12,12,8,16,7,0,0,0,2,1,1,16,8,0,0,0,0,2,14,16,10,0,0,0,0,1,11,12,16,7,0,0,0,0,0,0,15,12,0,0,3,13,6,4,16,11,0,0,1,14,16,16,12,3,0,3
0,0,8,12,15,12,0,0,0,8,15,7,4,4,0,0,0,6,14,4,3,0,0,0,0,7,16,13,16,8,0,0,0,1,4,0,5,16,5,0,0,0,0,0,0,15,9,0,0,1,7,4,6,15,8,0,0,0,10,15,16,9,0,0,5
0,0,11,15,7,0,0,0,0,2,16,10,16,14,4,0,0,5,13,0,6,16,6,0,0,4,16,9,10,16,8,0,0,0,7,12,11,14,8,0,0,0,0,0,0,12,8,0,0,1,12,10,10,15,6,0,0,1,10,12,14,10,1,0,9
0,0,9,16,16,3,0,0,0,5,16,10,14,7,0,0,0,1,10,0,14,10,0,0,0,0,2,15,16,9,0,0,0,0,1,8,11,16,6,0,0,0,0,0,3,16,8,0,0,1,16,11,11,16,4,0,0,0,11,16,16,11,0,0,3
0,0,3,16,7,0,0,0,0,0,0,13,13,0,0,0,0,0,2,15,11,0,0,0,0,8,16,16,16,12,3,0,0,6,12,15,16,16,12,0,0,0,0,8,16,7,1,0,0,0,0,10,15,2,0,0,0,0,2,16,13,0,0,0,4
0,1,10,16,16,9,0,0,0,11,15,8,15,12,0,0,0,3,2,2,16,9,0,0,0,0,0,7,16,4,0,0,0,0,0,2,15,11,0,0,0,0,0,0,5,16,6,0,0,0,3,7,6,15,12,0,0,0,12,16,16,14,5,0,3
0,0,0,7,14,6,0,0,0,0,1,15,11,2,0,0,0,0,8,13,0,0,0,0,0,1,14,13,8,1,0,0,0,3,16,14,12,10,0,0,0,0,15,2,0,7,9,0,0,0,11,13,7,4,15,0,0,0,0,7,12,12,13,2,6
0,1,10,14,7,0,0,0,0,7,12,5,15,0,0,0,0,4,7,5,15,1,0,0,0,0,2,15,9,0,0,0,0,0,0,9,16,4,0,0,0,0,0,0,4,14,4,0,0,0,10,3,3,10,12,0,0,0,11,16,16,14,4,0,3
0,0,7,15,10,1,0,0,0,1,16,10,14,7,0,0,0,0,11,2,0,15,0,0,0,0,0,0,0,15,3,0,0,0,0,0,5,16,0,0,0,0,0,3,15,9,0,0,0,0,9,16,16,10,6,0,0,0,9,12,12,12,13,1,2
0,0,6,14,15,3,0,0,0,0,8,15,12,2,0,0,0,0,8,14,12,11,1,0,0,0,0,0,0,9,6,0,0,0,0,0,0,3,9,0,0,0,3,1,0,1,12,0,0,0,13,8,4,9,11,0,0,0,5,13,16,13,7,0,5
0,0,9,13,6,0,0,0,0,0,15,16,15,5,0,0,0,4,13,1,3,14,0,0,0,5,11,0,0,10,7,0,0,8,8,0,0,8,6,0,0,4,12,0,0,7,7,0,0,2,13,4,7,16,0,0,0,0,8,16,13,8,0,0,0
0,0,0,6,16,3,0,0,0,0,5,16,8,1,0,0,0,0,10,14,0,0,0,0,0,0,14,15,8,3,0,0,0,0,14,15,12,15,4,0,0,0,16,6,0,6,11,0,0,0,9,13,5,6,15,0,0,0,1,8,12,15,13,1,6
0,1,15,10,0,0,0,0,0,9,13,12,9,0,0,0,0,10,8,8,16,10,0,0,0,3,14,16,16,12,0,0,0,0,0,0,6,14,0,0,0,0,0,0,2,14,3,0,0,3,11,5,2,8,12,0,0,1,8,13,16,16,11,0,9
0,0,7,10,2,0,0,0,0,3,16,16,16,10,0,0,0,5,16,12,11,16,2,0,0,6,12,0,0,9,8,0,0,4,12,0,0,8,8,0,0,4,16,0,0,8,8,0,0,1,16,10,11,15,6,0,0,0,7,16,13,5,0,0,0
0,0,4,15,10,0,0,0,0,0,14,8,16,7,0,0,0,0,15,0,13,10,0,0,0,1,15,16,16,9,0,0,0,0,0,0,5,12,0,0,0,2,1,0,3,15,0,0,0,8,14,6,4,14,1,0,0,0,6,13,16,15,0,0,9
0,0,7,14,5,0,0,0,0,3,16,16,16,5,0,0,0,6,16,0,5,14,0,0,0,4,12,0,0,13,3,0,0,8,8,0,0,12,8,0,0,7,9,0,0,12,7,0,0,1,15,8,14,16,3,0,0,0,8,14,12,4,0,0,0
0,0,14,16,8,3,0,0,0,5,15,8,16,16,3,0,0,9,11,1,12,15,2,0,0,1,13,16,15,3,0,0,0,0,11,14,15,3,0,0,0,1,16,4,4,14,5,0,0,4,14,5,4,11,12,0,0,0,9,12,13,12,8,0,8
0,0,1,11,13,2,0,0,0,0,9,14,13,3,0,0,0,1,15,12,0,0,0,0,0,3,15,9,2,0,0,0,0,2,16,16,16,11,0,0,0,0,13,7,4,14,7,0,0,0,9,11,9,16,6,0,0,0,1,12,16,7,0,0,6
0,0,0,10,14,1,0,0,0,0,8,16,10,1,0,0,0,2,16,9,0,0,0,0,0,7,16,7,4,1,0,0,0,5,16,15,12,13,0,0,0,0,15,6,0,4,11,0,0,0,5,13,2,9,13,0,0,0,0,6,15,16,6,0,6
0,1,9,16,10,0,0,0,0,6,12,4,15,2,0,0,0,0,0,0,13,3,0,0,0,0,0,10,16,1,0,0,0,0,0,6,13,11,0,0,0,0,0,0,0,14,4,0,0,3,10,1,0,10,8,0,0,0,10,16,16,15,3,0,3
0,0,6,15,2,0,0,0,0,0,3,16,8,0,0,0,0,0,4,16,10,0,0,0,0,0,7,16,13,0,0,0,0,0,0,9,16,2,0,0,0,0,0,1,16,7,0,0,0,0,2,10,15,15,15,6,0,0,4,16,16,16,16,13,1
0,0,3,12,11,1,0,0,0,0,9,13,10,10,0,0,0,0,5,13,11,13,0,0,0,0,0,7,12,14,5,0,0,0,0,0,0,6,10,0,0,0,0,0,0,1,15,0,0,0,8,8,4,4,13,5,0,0,3,10,16,16,16,5,9
0,0,14,12,0,0,0,0,0,3,13,16,0,0,0,0,0,12,16,16,4,0,0,0,0,5,10,16,6,0,0,0,0,0,1,15,9,0,0,0,0,0,0,12,15,0,0,0,0,0,7,13,16,9,8,0,0,0,13,16,16,16,16,3,1
0,0,0,0,11,15,0,0,0,0,0,2,15,11,0,0,0,0,0,9,16,4,0,0,0,0,8,16,8,7,3,0,0,9,16,16,12,16,11,0,0,4,11,12,14,16,5,0,0,0,0,0,9,16,4,0,0,0,0,0,12,15,2,0,4
0,0,12,16,12,0,0,0,0,4,16,12,16,6,0,0,0,1,8,0,12,8,0,0,0,0,0,0,15,5,0,0,0,0,0,3,16,3,0,0,0,0,8,16,8,0,0,0,0,3,16,16,16,13,2,0,0,1,8,9,14,16,4,0,2
0,0,10,16,7,0,0,0,0,1,16,16,15,3,0,0,0,4,16,16,16,13,0,0,0,4,16,10,11,14,2,0,0,6,16,0,0,12,4,0,0,5,15,0,0,10,7,0,0,4,16,8,11,16,0,0,0,1,10,15,13,4,0,0,0
0,0,10,16,11,8,3,0,0,0,6,12,13,16,7,0,0,0,0,0,5,15,1,0,0,0,4,6,13,8,0,0,0,0,15,16,16,16,4,0,0,0,1,14,11,13,4,0,0,0,4,16,1,0,0,0,0,0,12,10,0,0,0,0,7
0,0,0,3,12,5,0,0,0,0,8,16,12,4,0,0,0,2,16,8,0,0,0,0,0,6,16,14,9,2,0,0,0,4,16,11,10,15,3,0,0,0,14,3,0,6,10,0,0,0,5,15,5,12,9,0,0,0,0,5,15,11,2,0,6
0,0,11,15,4,0,0,0,0,0,7,16,16,16,11,0,0,0,0,1,7,16,11,0,0,2,4,2,15,12,1,0,0,13,16,16,16,12,3,0,0,2,6,16,11,14,4,0,0,0,7,16,4,0,0,0,0,0,14,14,1,0,0,0,7
0,1,14,12,1,0,0,0,0,7,16,16,13,0,0,0,0,6,14,3,16,2,0,0,0,2,12,0,14,6,0,0,0,0,0,0,15,8,0,0,0,0,0,8,16,4,0,0,0,2,12,16,16,12,10,0,0,0,15,16,16,16,16,6,2
0,0,7,14,12,0,0,0,0,5,16,16,16,6,0,0,0,8,16,8,5,15,3,0,0,8,12,0,0,10,7,0,0,8,11,0,0,12,5,0,0,4,13,0,0,12,5,0,0,0,16,12,9,16,3,0,0,0,8,14,12,7,0,0,0
0,0,9,9,0,0,0,0,0,0,7,16,2,0,0,0,0,0,8,16,3,0,0,0,0,0,6,16,9,0,0,0,0,0,0,6,14,0,0,0,0,0,0,1,15,4,0,0,0,0,6,12,15,14,9,5,0,0,7,16,16,16,16,14,1
0,4,16,13,0,0,0,0,0,12,11,15,4,0,0,0,0,12,6,10,10,0,0,0,0,1,1,8,10,0,0,0,0,0,0,15,7,0,0,0,0,0,4,16,1,0,0,0,0,0,13,16,12,12,8,0,0,2,16,16,16,16,16,0,2
0,0,11,8,0,0,0,0,0,0,9,15,0,0,0,0,0,12,15,16,6,0,0,0,0,8,15,16,9,0,0,0,0,0,1,13,13,0,0,0,0,0,0,6,16,2,0,0,0,0,8,13,16,13,12,5,0,0,11,16,16,16,16,11,1
0,0,5,13,5,0,0,0,0,4,16,11,12,11,2,0,0,7,8,0,12,16,6,0,0,3,15,14,16,12,1,0,0,0,9,14,14,10,0,0,0,0,11,1,2,13,5,0,0,0,9,7,4,8,12,0,0,0,5,14,15,13,7,0,8
0,0,0,1,11,14,0,0,0,0,0,2,16,10,0,0,0,0,0,11,16,4,0,0,0,0,12,15,3,5,1,0,0,7,16,13,9,16,10,0,0,5,16,16,16,16,5,0,0,0,0,0,12,13,0,0,0,0,0,0,13,13,1,0,4
0,0,0,0,11,13,0,0,0,0,0,2,16,10,0,0,0,0,0,13,15,2,0,0,0,0,11,15,8,11,4,0,0,9,16,15,14,16,11,0,0,2,7,11,13,16,4,0,0,0,0,0,8,16,3,0,0,0,0,0,15,16,2,0,4
0,0,0,1,15,8,0,0,0,0,0,2,16,9,0,0,0,0,0,7,16,4,0,0,0,1,7,16,15,15,2,0,0,11,16,16,13,16,5,0,0,7,12,12,14,16,5,0,0,0,0,0,13,15,0,0,0,0,0,4,16,10,0,0,4
0,0,6,12,12,1,0,0,0,4,16,8,13,7,0,0,0,5,10,0,11,8,0,0,0,0,0,0,14,3,0,0,0,0,0,0,13,8,0,0,0,0,0,0,3,14,2,0,0,0,7,9,4,11,7,0,0,0,7,12,12,13,5,0,3
0,0,5,14,15,2,0,0,0,4,15,7,11,8,0,0,0,4,6,1,15,5,0,0,0,0,0,4,15,4,0,0,0,0,0,0,7,15,1,0,0,0,0,0,0,9,7,0,0,3,12,5,4,12,7,0,0,0,6,13,16,9,1,0,3
0,0,10,13,16,5,0,0,0,0,15,15,10,12,0,0,0,3,14,1,0,14,2,0,0,6,12,0,0,9,7,0,0,4,12,0,0,4,8,0,0,0,12,0,0,11,6,0,0,0,16,10,14,16,2,0,0,0,8,13,10,1,0,0,0
0,0,4,15,8,0,0,0,0,0,12,16,15,3,0,0,0,1,16,11,7,14,2,0,0,4,14,0,0,12,8,0,0,4,12,0,0,14,5,0,0,4,14,1,0,15,5,0,0,0,13,9,9,16,6,0,0,0,7,16,12,5,0,0,0
0,0,10,9,0,0,0,0,0,0,7,16,2,0,0,0,0,11,14,16,3,0,0,0,0,5,15,16,5,0,0,0,0,0,1,10,10,0,0,0,0,0,0,5,15,0,0,0,0,0,5,12,16,14,12,4,0,0,8,16,16,16,16,13,1
0,0,4,15,11,1,0,0,0,0,9,13,10,11,0,0,0,0,7,11,3,16,1,0,0,0,1,14,16,16,5,0,0,0,0,0,2,11,6,0,0,0,0,0,0,6,10,0,0,0,8,5,4,8,13,0,0,0,4,12,15,16,8,0,9
0,0,4,16,16,16,12,0,0,0,1,7,8,13,15,0,0,0,0,0,0,14,10,0,0,0,2,8,11,15,1,0,0,0,4,14,16,16,4,0,0,0,0,8,15,13,4,0,0,0,0,14,10,0,0,0,0,0,6,16,4,0,0,0,7
0,0,7,13,12,3,0,0,0,2,14,8,14,8,0,0,0,2,15,4,14,8,0,0,0,0,8,12,12,8,0,0,0,0,0,0,4,12,0,0,0,0,0,0,1,15,0,0,0,0,10,10,1,16,3,0,0,0,5,13,16,12,0,0,9
0,1,6,13,16,5,0,0,0,6,16,9,15,4,0,0,0,4,9,5,16,2,0,0,0,0,0,8,13,0,0,0,0,0,0,3,15,7,0,0,0,0,0,0,6,15,0,0,0,0,4,6,4,14,6,0,0,0,10,16,16,16,5,0,3
0,0,10,16,16,15,2,0,0,0,5,8,8,16,6,0,0,0,0,0,4,16,3,0,0,0,6,8,12,11,0,0,0,1,16,16,16,15,1,0,0,0,1,13,10,11,3,0,0,0,8,14,0,0,0,0,0,0,13,6,0,0,0,0,7
0,3,14,16,4,0,0,0,0,8,10,11,11,0,0,0,0,5,9,0,13,2,0,0,0,0,0,0,12,4,0,0,0,0,0,2,15,1,0,0,0,0,0,14,11,0,0,0,0,1,13,16,14,12,6,0,0,2,12,12,12,12,11,0,2
0,0,7,14,1,0,0,0,0,0,6,16,8,0,0,0,0,8,16,16,10,0,0,0,0,0,11,13,16,1,0,0,0,0,0,3,16,6,0,0,0,0,0,1,13,12,0,0,0,0,10,16,16,16,12,7,0,0,5,15,16,16,16,15,1
0,0,5,15,10,10,4,0,0,0,12,12,15,14,8,0,0,0,11,7,1,15,5,0,0,0,6,15,8,14,0,0,0,0,4,14,16,2,0,0,0,3,16,11,12,5,0,0,0,7,14,7,6,14,0,0,0,0,7,13,16,14,0,0,8
0,0,5,16,11,3,0,0,0,0,14,15,10,15,2,0,0,5,13,6,0,11,8,0,0,8,8,0,0,5,8,0,0,8,7,0,0,8,5,0,0,4,10,0,1,13,1,0,0,0,14,9,13,10,0,0,0,0,5,13,9,1,0,0,0
0,1,14,14,2,0,0,0,0,7,16,16,8,0,0,0,0,11,11,10,14,0,0,0,0,0,0,8,16,0,0,0,0,0,0,10,13,0,0,0,0,0,5,16,12,0,0,0,0,4,16,16,16,16,6,0,0,1,8,6,8,15,11,0,2
0,0,0,8,11,0,0,0,0,0,3,16,12,0,0,0,0,0,11,15,1,0,0,0,0,1,15,12,5,0,0,0,0,2,16,16,13,12,1,0,0,0,14,9,1,4,13,0,0,0,5,14,3,0,11,6,0,0,0,5,15,16,16,7,6
0,0,11,11,0,0,0,0,0,0,12,14,0,0,0,0,0,13,16,15,0,0,0,0,0,6,11,16,3,0,0,0,0,0,1,16,4,0,0,0,0,0,0,11,9,0,0,0,0,0,10,15,15,12,7,0,0,0,11,16,16,16,16,4,1
0,0,0,11,11,0,0,0,0,0,2,16,13,0,0,0,0,0,6,16,5,0,0,0,0,0,11,16,5,0,0,0,0,0,13,16,14,12,1,0,0,0,11,14,2,8,14,0,0,0,6,16,5,12,15,1,0,0,0,8,15,13,6,0,6
0,0,8,16,7,0,0,0,0,0,11,14,16,4,0,0,0,0,0,1,14,3,0,0,0,0,8,14,16,6,0,0,0,0,6,16,16,16,7,0,0,0,0,12,9,13,5,0,0,0,4,14,2,0,0,0,0,0,9,10,0,0,0,0,7
0,0,4,14,3,0,0,0,0,0,9,16,16,4,0,0,0,0,14,16,16,14,0,0,0,2,16,6,1,16,4,0,0,5,15,0,0,12,4,0,0,5,13,0,0,12,8,0,0,0,16,10,9,16,7,0,0,0,6,16,15,8,0,0,0
0,0,11,14,5,0,0,0,0,5,13,4,16,6,0,0,0,3,14,11,15,8,0,0,0,0,2,6,6,13,0,0,0,0,0,0,0,14,2,0,0,0,0,0,0,5,10,0,0,1,4,0,0,7,12,0,0,1,9,15,16,15,4,0,9
0,0,2,13,10,1,0,0,0,0,8,16,16,14,1,0,0,0,11,8,3,15,1,0,0,0,6,12,9,11,0,0,0,0,9,16,16,2,0,0,0,1,16,7,9,10,0,0,0,2,14,5,4,16,3,0,0,0,4,11,14,13,5,0,8
0,2,15,10,1,0,0,0,0,8,15,16,9,0,0,0,0,8,10,11,12,0,0,0,0,1,5,7,16,0,0,0,0,0,0,10,13,0,0,0,0,0,2,15,10,0,0,0,0,5,16,16,16,12,8,0,0,3,12,12,11,14,16,1,2
0,0,3,14,11,1,0,0,0,1,15,10,16,5,0,0,0,2,10,2,16,3,0,0,0,0,0,1,16,6,0,0,0,0,0,0,9,15,3,0,0,0,6,0,0,10,9,0,0,2,16,7,4,13,10,0,0,0,5,11,14,11,1,0,3
0,0,7,13,9,0,0,0,0,0,13,11,13,11,0,0,0,0,14,8,12,16,2,0,0,0,5,13,13,15,3,0,0,0,0,0,0,11,7,0,0,0,0,0,0,3,13,0,0,0,12,9,4,4,16,0,0,0,7,16,16,16,12,0,9
0,0,14,14,11,2,0,0,0,1,16,16,16,15,0,0,0,4,16,9,7,14,6,0,0,8,15,0,0,8,8,0,0,8,11,0,0,8,8,0,0,8,12,0,0,12,5,0,0,4,16,10,14,13,0,0,0,0,9,16,15,3,0,0,0
0,0,2,15,3,0,0,0,0,0,2,14,10,0,0,0,0,0,15,16,14,0,0,0,0,0,6,12,16,0,0,0,0,0,0,1,16,2,0,0,0,0,0,0,13,6,0,0,0,0,8,14,14,14,8,3,0,0,2,11,12,12,13,9,1
0,1,12,10,2,0,0,0,0,5,14,13,12,0,0,0,0,4,8,3,16,0,0,0,0,0,1,0,15,0,0,0,0,0,0,5,12,0,0,0,0,0,4,15,6,0,0,0,0,4,16,16,15,10,3,0,0,2,11,7,8,11,9,0,2
0,0,5,14,15,2,0,0,0,0,11,16,12,1,0,0,0,0,7,16,13,2,0,0,0,0,1,11,14,15,2,0,0,0,0,0,0,10,10,0,0,1,8,1,0,2,15,1,0,2,13,10,5,7,16,2,0,0,4,13,16,16,14,0,5
0,0,10,15,8,2,0,0,0,0,5,13,16,15,1,0,0,0,0,0,4,16,4,0,0,0,1,4,7,16,3,0,0,0,9,16,16,16,1,0,0,0,1,12,15,12,4,0,0,0,3,16,5,0,0,0,0,0,14,14,0,0,0,0,7
0,0,0,8,13,0,0,0,0,0,6,15,8,0,0,0,0,2,16,10,0,0,0,0,0,2,16,13,10,1,0,0,0,2,16,11,9,13,1,0,0,0,10,6,0,5,13,0,0,0,4,15,1,9,16,2,0,0,0,7,15,16,7,0,6
0,0,11,8,0,0,0,0,0,0,12,15,1,0,0,0,0,0,13,16,5,0,0,0,0,0,12,16,6,0,0,0,0,0,2,15,7,0,0,0,0,0,0,10,14,1,0,0,0,0,16,16,16,16,11,3,0,0,11,16,16,16,16,11,1
0,0,1,14,9,0,0,0,0,0,5,15,13,6,0,0,0,0,9,12,4,12,0,0,0,0,6,15,10,16,4,0,0,0,0,10,16,16,10,0,0,0,0,0,0,2,16,0,0,0,1,4,4,6,15,4,0,0,1,13,15,14,11,0,9
0,0,6,15,16,7,0,0,0,10,16,9,14,11,0,0,0,5,3,1,14,10,0,0,0,0,0,9,16,5,0,0,0,0,0,8,16,16,4,0,0,0,1,0,1,12,8,0,0,3,13,5,4,13,11,0,0,0,8,16,16,12,2,0,3
0,0,1,13,15,3,0,0,0,6,16,16,16,9,0,0,0,9,15,16,16,6,0,0,0,3,16,16,10,0,0,0,0,0,12,16,11,0,0,0,0,0,14,6,10,15,2,0,0,0,11,12,6,16,13,0,0,0,1,10,15,13,5,0,8
0,0,3,9,8,0,0,0,0,2,15,14,14,4,0,0,0,9,16,5,13,16,1,0,0,5,16,16,16,16,7,0,0,0,6,8,8,16,6,0,0,0,0,0,0,15,9,0,0,0,7,4,9,16,8,0,0,0,9,16,13,9,1,0,9
0,0,6,11,11,1,0,0,0,0,9,16,16,14,0,0,0,0,11,16,16,10,0,0,0,0,7,16,16,12,0,0,0,0,12,16,16,11,0,0,0,0,9,16,16,12,0,0,0,0,8,16,16,16,0,0,0,0,5,12,12,12,3,0,1
0,0,0,1,12,2,0,0,0,0,1,16,16,2,0,0,0,0,10,15,3,0,0,0,0,0,14,11,0,0,0,0,0,1,16,16,15,7,0,0,0,0,14,16,11,15,5,0,0,0,6,16,6,16,9,0,0,0,0,5,12,12,3,0,6
0,0,7,15,16,15,3,0,0,0,15,8,6,4,0,0,0,0,16,5,4,2,0,0,0,3,16,14,16,10,0,0,0,7,16,13,10,14,0,0,0,0,4,0,6,16,1,0,0,0,8,8,12,14,0,0,0,0,7,13,11,4,0,0,5
0,0,0,11,13,0,0,0,0,2,12,16,16,7,0,0,0,12,16,8,3,14,2,0,0,6,16,10,0,14,6,0,0,0,15,9,0,11,5,0,0,0,11,13,0,9,9,0,0,0,8,16,13,16,5,0,0,0,0,13,16,10,1,0,0
0,0,0,2,15,5,0,0,0,0,0,9,15,2,2,0,0,0,3,16,7,5,16,2,0,1,12,16,8,14,13,0,0,11,16,16,16,16,10,0,0,10,10,4,14,14,1,0,0,0,0,0,14,8,0,0,0,0,0,1,15,3,0,0,4
0,0,0,4,13,1,0,0,0,0,3,16,13,0,0,0,0,0,8,15,4,0,0,0,0,0,12,14,0,0,0,0,0,0,15,11,6,6,0,0,0,0,13,16,16,16,10,0,0,0,8,16,5,11,16,2,0,0,0,6,12,15,10,0,6
0,0,0,6,14,3,0,0,0,0,2,15,14,4,0,0,0,0,9,16,2,0,0,0,0,0,13,13,0,0,0,0,0,0,14,14,16,16,5,0,0,0,14,16,15,13,11,0,0,0,10,16,6,13,13,0,0,0,1,9,15,13,4,0,6
0,0,3,14,10,0,0,0,0,2,14,15,13,3,0,0,0,2,16,8,4,10,0,0,0,0,15,14,13,16,4,0,0,0,2,10,14,15,10,0,0,0,3,0,0,11,9,0,0,0,10,8,4,15,8,0,0,0,2,12,13,14,4,0,9
0,0,0,2,13,0,0,0,0,0,0,11,12,0,0,0,0,0,3,16,6,1,4,0,0,0,11,10,0,12,8,0,0,6,16,7,7,16,1,0,0,9,16,16,16,16,3,0,0,0,3,5,15,8,1,0,0,0,0,2,11,0,0,0,4
0,0,8,12,13,16,8,0,0,0,9,9,9,16,5,0,0,0,0,0,7,15,0,0,0,0,6,11,15,11,1,0,0,0,9,14,15,15,6,0,0,0,0,16,8,0,0,0,0,0,3,16,3,0,0,0,0,0,8,14,0,0,0,0,7
0,0,2,10,12,1,0,0,0,0,10,15,14,8,0,0,0,6,16,7,8,8,0,0,0,5,16,16,16,10,0,0,0,0,8,16,16,16,2,0,0,0,11,14,1,13,6,0,0,0,12,13,7,14,4,0,0,0,4,14,12,10,2,0,8
0,0,0,10,15,2,0,0,0,0,0,13,16,11,0,0,0,0,0,15,16,9,0,0,0,0,6,16,16,7,0,0,0,1,15,16,16,3,0,0,0,1,14,16,16,2,0,0,0,0,0,14,16,8,0,0,0,0,0,6,14,9,0,0,1
0,0,7,12,14,12,8,0,0,0,10,8,9,16,14,0,0,0,0,0,2,16,6,0,0,0,6,16,13,14,1,0,0,0,3,10,16,10,0,0,0,0,0,14,11,0,0,0,0,0,3,16,3,0,0,0,0,0,8,11,0,0,0,0,7
0,1,11,14,14,4,0,0,0,3,14,8,10,16,0,0,0,0,0,0,5,16,1,0,0,0,0,3,16,14,0,0,0,0,0,4,12,16,7,0,0,0,0,0,0,9,12,0,0,0,9,8,8,14,13,0,0,0,7,12,12,10,3,0,3
0,0,9,15,12,10,7,0,0,0,5,8,12,16,12,0,0,0,0,0,4,16,6,0,0,0,1,5,14,10,0,0,0,0,13,16,16,12,0,0,0,1,8,16,10,2,0,0,0,0,9,16,3,0,0,0,0,0,9,13,0,0,0,0,7
0,0,1,10,9,0,0,0,0,1,10,13,8,7,0,0,0,5,16,2,0,9,0,0,0,0,16,12,14,16,1,0,0,0,11,16,13,13,3,0,0,0,2,15,5,6,3,0,0,0,4,15,4,13,2,0,0,0,1,11,12,4,0,0,8
0,0,0,1,10,0,0,0,0,0,0,11,8,2,1,0,0,0,3,13,0,8,8,0,0,0,10,8,2,15,3,0,0,6,16,15,16,16,5,0,0,12,15,12,15,14,3,0,0,0,0,0,15,1,0,0,0,0,0,0,12,0,0,0,4
0,0,0,4,14,4,0,0,0,0,3,16,14,4,0,0,0,0,8,16,5,0,0,0,0,0,15,12,11,8,1,0,0,0,16,16,16,16,8,0,0,2,16,16,4,3,14,0,0,0,10,16,5,10,16,1,0,0,0,7,13,14,10,0,6
0,0,13,16,16,11,0,0,0,0,10,7,4,16,0,0,0,0,0,0,10,12,0,0,0,0,0,3,13,14,2,0,0,0,0,10,13,14,6,0,0,0,0,0,0,6,11,0,0,1,14,6,4,13,7,0,0,0,9,13,16,12,0,0,3
0,0,10,15,16,15,1,0,0,7,16,10,4,3,1,0,0,8,13,8,0,0,0,0,0,7,16,16,7,0,0,0,0,1,8,10,8,0,0,0,0,0,0,5,15,0,0,0,0,0,1,8,14,0,0,0,0,0,6,16,10,0,0,0,5
0,0,3,14,9,1,0,0,0,0,10,15,13,8,0,0,0,0,13,10,4,14,0,0,0,0,12,16,16,16,4,0,0,0,0,6,8,12,10,0,0,0,0,0,0,4,13,0,0,0,3,8,8,13,13,0,0,0,2,10,12,10,5,0,9
0,0,4,10,16,4,0,0,0,4,16,13,10,10,0,0,0,8,16,8,7,12,0,0,0,3,15,16,16,9,0,0,0,5,16,16,16,16,2,0,0,1,13,12,1,9,9,0,0,0,14,10,2,14,5,0,0,0,2,12,15,11,1,0,8
0,0,9,13,7,0,0,0,0,2,15,10,14,6,0,0,0,12,13,0,9,16,2,0,0,8,16,12,14,16,6,0,0,1,8,8,10,16,2,0,0,0,0,0,1,16,5,0,0,0,8,4,7,16,2,0,0,0,10,15,16,13,0,0,9
0,0,0,5,11,0,0,0,0,0,7,16,14,1,0,0,0,3,16,3,9,11,0,0,0,4,16,13,16,14,3,0,0,0,7,16,13,4,4,0,0,0,1,16,6,3,5,0,0,0,5,14,5,10,3,0,0,0,0,9,9,5,0,0,8
0,0,3,9,9,0,0,0,0,0,9,16,16,5,0,0,0,0,9,16,16,8,0,0,0,0,7,16,16,7,0,0,0,0,12,16,16,7,0,0,0,0,16,16,16,8,0,0,0,0,12,16,16,12,0,0,0,0,2,7,10,4,0,0,1
0,0,9,15,16,16,14,0,0,1,15,10,8,14,13,0,0,0,0,0,2,15,9,0,0,0,0,10,14,16,4,0,0,0,1,16,16,16,11,0,0,0,0,13,15,4,1,0,0,0,5,16,7,0,0,0,0,0,9,15,0,0,0,0,7
0,0,4,16,12,0,0,0,0,9,16,16,16,8,0,0,0,9,16,9,6,14,0,0,0,6,16,2,0,12,5,0,0,6,16,1,0,8,9,0,0,3,16,1,0,12,10,0,0,0,12,13,15,16,8,0,0,0,3,12,12,10,1,0,0
0,0,0,9,7,0,0,0,0,0,3,16,8,0,0,0,0,0,8,14,2,0,0,0,0,0,13,10,0,0,0,0,0,0,15,16,16,15,5,0,0,0,15,16,11,11,12,0,0,0,8,15,6,9,15,0,0,0,0,8,14,16,8,0,6
0,0,4,8,10,13,8,0,0,0,10,12,12,14,12,0,0,0,0,0,0,13,8,0,0,0,5,12,13,16,6,0,0,0,7,13,16,12,3,0,0,0,0,8,14,1,0,0,0,0,3,16,9,0,0,0,0,0,5,14,2,0,0,0,7
0,0,6,16,12,12,14,6,0,0,5,8,8,11,15,2,0,0,0,0,1,14,5,0,0,0,0,1,12,12,0,0,0,0,0,11,16,15,1,0,0,0,0,10,11,1,0,0,0,0,1,14,4,0,0,0,0,0,5,12,2,0,0,0,7
0,0,6,12,12,15,7,0,0,0,14,15,12,16,9,0,0,0,0,0,0,16,8,0,0,0,1,1,9,14,0,0,0,3,15,16,16,16,2,0,0,3,8,14,16,5,0,0,0,0,3,16,8,0,0,0,0,0,7,15,5,0,0,0,7
0,0,0,9,13,0,0,0,0,0,5,16,16,4,0,0,0,0,15,15,7,0,0,0,0,1,16,13,0,0,0,0,0,3,16,15,16,16,6,0,0,1,14,16,16,16,15,1,0,0,8,16,13,14,16,1,0,0,0,7,12,12,6,0,6
0,0,1,15,1,0,0,0,0,0,6,16,0,2,0,0,0,0,11,13,2,16,2,0,0,6,16,8,9,14,0,0,0,8,16,16,16,14,3,0,0,0,8,15,16,16,8,0,0,0,0,12,14,3,0,0,0,0,1,16,9,0,0,0,4
0,0,1,12,11,2,0,0,0,0,2,16,16,3,0,0,0,0,5,16,16,3,0,0,0,1,15,16,14,2,0,0,0,5,16,16,13,0,0,0,0,1,11,16,14,0,0,0,0,0,5,16,16,7,0,0,0,0,1,15,16,9,0,0,1
0,3,11,15,14,2,0,0,0,10,13,8,14,10,0,0,0,5,1,0,13,8,0,0,0,0,0,9,16,8,0,0,0,0,0,5,9,16,3,0,0,0,0,0,0,16,9,0,0,4,12,8,11,15,3,0,0,1,8,12,11,4,0,0,3
0,0,7,13,12,12,5,0,0,3,15,8,7,8,3,0,0,4,15,5,6,0,0,0,0,5,16,16,16,2,0,0,0,2,8,1,12,4,0,0,0,0,0,0,12,4,0,0,0,0,3,5,16,2,0,0,0,0,9,15,8,0,0,0,5
0,0,11,16,15,8,0,0,0,0,9,13,5,3,0,0,0,0,12,13,0,0,0,0,0,0,12,13,8,2,0,0,0,0,15,16,16,7,0,0,0,0,0,0,9,11,0,0,0,0,5,6,15,8,0,0,0,0,11,16,13,2,0,0,5
0,0,3,11,14,11,8,4,0,0,3,8,8,10,16,6,0,0,0,0,0,13,9,0,0,0,0,3,11,16,9,0,0,0,0,11,16,8,3,0,0,0,0,10,13,0,0,0,0,0,1,16,3,0,0,0,0,0,5,11,0,0,0,0,7
0,0,10,16,16,14,1,0,0,0,15,9,8,8,2,0,0,4,16,0,0,0,0,0,0,6,16,15,14,0,0,0,0,5,13,12,16,3,0,0,0,0,0,0,13,7,0,0,0,0,9,8,16,7,0,0,0,0,11,16,15,0,0,0,5
0,0,0,0,13,9,0,0,0,0,0,10,16,16,1,0,0,1,12,16,16,13,0,0,0,7,16,16,16,15,0,0,0,0,7,12,16,13,0,0,0,0,0,4,16,16,0,0,0,0,0,3,16,16,3,0,0,0,0,0,13,16,6,0,1
0,0,7,15,16,9,0,0,0,1,16,12,8,7,0,0,0,0,14,3,0,0,0,0,0,0,14,16,13,1,0,0,0,0,12,16,15,7,0,0,0,0,0,0,9,9,0,0,0,0,4,5,14,9,0,0,0,0,6,16,15,3,0,0,5
0,0,8,12,12,14,8,0,0,2,11,12,12,16,12,0,0,0,0,0,3,16,5,0,0,0,3,7,15,13,0,0,0,0,15,16,16,16,4,0,0,0,1,15,9,0,0,0,0,0,10,14,0,0,0,0,0,0,10,11,0,0,0,0,7
0,0,6,15,10,0,0,0,0,4,16,15,15,5,0,0,0,10,11,1,12,4,0,0,0,11,9,0,15,3,0,0,0,4,8,1,14,4,0,0,0,0,0,8,16,2,1,0,0,0,5,16,16,15,15,2,0,0,8,16,14,11,13,1,2
0,0,9,15,16,8,0,0,0,0,7,7,9,15,1,0,0,0,0,0,9,12,0,0,0,0,5,13,16,13,3,0,0,0,1,11,14,4,2,0,0,0,0,15,4,0,0,0,0,0,6,16,3,0,0,0,0,0,10,12,0,0,0,0,7
0,0,5,14,16,13,1,0,0,0,15,14,9,10,2,0,0,1,16,5,0,0,0,0,0,4,16,16,5,0,0,0,0,2,8,12,12,0,0,0,0,0,0,6,15,0,0,0,0,2,13,14,11,0,0,0,0,1,10,12,3,0,0,0,5
0,0,1,8,12,3,0,0,0,0,9,16,16,12,0,0,0,0,11,16,7,11,0,0,0,0,14,11,0,7,2,0,0,0,14,8,0,9,4,0,0,0,16,7,2,13,1,0,0,0,11,15,11,15,0,0,0,0,1,7,9,1,0,0,0
0,0,6,16,13,0,0,0,0,7,16,14,15,10,0,0,0,12,16,3,7,16,1,0,0,11,13,0,7,16,1,0,0,0,0,0,14,14,0,0,0,0,2,9,16,10,5,0,0,0,11,16,16,16,16,3,0,0,6,16,11,8,8,2,2
0,0,0,8,14,4,0,0,0,0,5,16,10,0,0,0,0,0,12,13,1,0,0,0,0,1,16,7,1,0,0,0,0,4,16,16,16,12,1,0,0,2,16,14,9,14,5,0,0,0,12,14,6,16,5,0,0,0,1,8,13,9,2,0,6
0,0,6,13,16,7,0,0,0,5,16,16,12,14,1,0,0,9,16,11,0,16,4,0,0,6,16,4,0,13,7,0,0,8,13,0,0,12,7,0,0,4,16,0,0,11,8,0,0,2,15,6,9,16,5,0,0,0,6,16,16,11,0,0,0
0,0,1,9,10,1,0,0,0,0,5,16,16,8,0,0,0,0,6,16,16,10,0,0,0,0,7,16,16,10,0,0,0,0,2,16,16,7,0,0,0,0,1,16,16,10,0,0,0,0,8,16,16,15,1,0,0,0,1,6,9,9,2,0,1
0,0,13,16,16,15,0,0,0,4,16,13,7,3,0,0,0,5,16,11,1,0,0,0,0,7,16,16,12,0,0,0,0,3,9,6,16,1,0,0,0,0,0,3,16,4,0,0,0,0,7,10,16,3,0,0,0,1,13,16,14,0,0,0,5
0,0,3,14,10,0,0,0,0,4,15,12,15,2,0,0,0,11,15,1,11,5,0,0,0,9,12,0,10,7,0,0,0,1,1,0,15,7,0,0,0,0,0,7,16,6,2,0,0,0,1,16,16,16,16,3,0,0,2,12,11,8,8,3,2
0,0,10,16,8,0,0,0,0,3,16,14,14,2,0,0,0,6,13,6,16,2,0,0,0,2,7,8,16,1,0,0,0,0,2,16,10,0,0,0,0,1,12,16,5,2,2,0,0,4,16,16,16,15,14,1,0,0,9,12,11,12,13,1,2
0,1,13,16,16,10,0,0,0,2,16,13,9,11,2,0,0,5,16,4,0,0,0,0,0,7,16,16,12,0,0,0,0,1,7,7,16,0,0,0,0,0,0,3,16,3,0,0,0,0,14,14,15,3,0,0,0,0,9,12,7,0,0,0,5
0,0,6,15,6,0,0,0,0,4,16,14,15,2,0,0,0,4,16,7,13,12,0,0,0,3,16,16,16,16,3,0,0,0,5,11,10,14,10,0,0,0,0,0,0,12,10,0,0,0,0,2,12,16,8,0,0,0,5,15,16,11,1,0,9
0,0,11,16,14,5,0,0,0,0,15,10,8,8,0,0,0,0,12,7,0,0,0,0,0,0,16,16,9,0,0,0,0,0,15,11,15,1,0,0,0,0,0,0,8,5,0,0,0,0,2,3,11,7,0,0,0,0,12,16,15,3,0,0,5
0,0,8,15,10,0,0,0,0,3,16,16,15,1,0,0,0,9,13,1,16,1,0,0,0,7,11,2,16,1,0,0,0,0,0,9,14,0,0,0,0,0,1,16,9,2,4,0,0,0,13,16,16,16,16,0,0,0,11,16,9,8,9,0,2
0,0,0,7,14,2,0,0,0,0,5,16,16,4,0,0,0,0,13,16,7,0,0,0,0,0,14,13,0,0,0,0,0,0,16,16,16,5,2,0,0,0,14,16,15,13,15,1,0,0,8,16,11,14,16,1,0,0,0,4,12,14,7,0,6
0,0,0,5,12,5,0,0,0,0,2,16,14,7,0,0,0,0,8,16,2,0,0,0,0,0,14,7,0,0,0,0,0,0,15,14,16,16,5,0,0,1,16,16,12,6,14,0,0,0,10,16,7,7,16,1,0,0,1,8,14,16,10,1,6
0,0,6,15,16,13,1,0,0,3,16,16,16,16,6,0,0,7,16,8,12,14,1,0,0,0,12,16,14,1,0,0,0,0,11,14,16,6,0,0,0,0,14,0,2,15,3,0,0,0,16,2,3,13,8,0,0,0,6,14,16,14,2,0,8
0,0,1,14,15,2,0,0,0,2,12,16,16,5,0,0,5,16,16,16,16,2,0,0,1,8,5,11,14,0,0,0,0,0,0,10,16,1,0,0,0,0,0,8,15,0,0,0,0,0,0,12,14,0,0,0,0,0,0,14,16,1,0,0,1
0,0,7,16,12,1,0,0,0,0,9,12,9,11,0,0,0,0,5,13,10,16,3,0,0,0,0,9,16,16,9,0,0,0,0,0,0,6,13,0,0,0,0,0,0,3,15,0,0,0,0,0,0,5,16,0,0,0,6,16,16,16,12,0,9
0,0,6,15,13,2,0,0,0,0,11,16,13,12,0,0,0,0,8,13,6,16,2,0,0,0,0,2,2,16,5,0,0,0,0,0,4,16,4,0,0,0,0,0,10,16,3,0,0,0,2,11,16,15,8,1,0,0,6,14,16,16,16,14,2
0,1,10,14,15,6,0,0,0,6,13,1,4,9,0,0,0,3,14,2,1,9,3,0,0,0,7,15,16,16,3,0,0,0,0,0,6,10,0,0,0,0,0,0,4,11,0,0,0,0,2,0,4,9,0,0,0,0,8,14,15,9,0,0,9
0,0,0,12,14,0,0,0,0,0,4,16,14,1,0,0,0,0,10,15,2,0,0,0,0,0,14,14,1,0,0,0,0,0,14,16,15,5,0,0,0,0,10,11,4,14,1,0,0,0,6,12,4,14,7,0,0,0,0,9,16,16,6,0,6
0,0,0,9,10,2,0,0,0,0,5,16,16,2,0,0,0,4,14,16,16,4,0,0,0,8,11,10,16,6,0,0,0,0,0,7,16,3,0,0,0,0,0,10,16,2,0,0,0,0,0,12,11,0,0,0,0,0,0,9,13,0,0,0,1
0,0,14,4,4,0,0,0,0,9,16,16,16,9,0,0,0,3,11,5,14,15,0,0,0,0,0,14,16,10,0,0,0,0,0,9,16,16,6,0,0,0,1,0,0,7,16,0,0,2,15,4,5,12,15,0,0,0,10,16,16,15,3,0,3
0,0,15,16,16,15,2,0,0,0,5,8,11,16,3,0,0,0,0,0,15,8,0,0,0,3,8,8,16,7,2,0,0,6,15,16,16,16,8,0,0,0,2,15,7,3,0,0,0,0,11,13,0,0,0,0,0,0,16,7,0,0,0,0,7
0,0,5,14,15,4,0,0,0,1,16,2,3,13,2,0,0,7,12,4,0,5,4,0,0,0,13,3,0,1,7,0,0,2,12,0,0,1,8,0,0,0,13,0,0,2,12,0,0,0,14,1,0,13,4,0,0,0,6,16,15,9,1,0,0
0,0,8,12,11,1,0,0,0,0,13,12,6,12,0,0,0,1,14,4,0,12,0,0,0,2,16,1,0,5,4,0,0,5,11,0,0,8,4,0,0,4,12,0,0,9,5,0,0,2,15,6,8,14,0,0,0,0,5,15,12,3,0,0,0
0,0,5,13,14,12,1,0,0,0,9,16,7,7,7,0,0,0,16,4,0,1,8,0,0,4,12,0,0,4,8,0,0,4,8,0,0,6,5,0,0,5,8,0,0,11,2,0,0,1,14,5,11,8,0,0,0,0,4,14,11,0,0,0,0
0,0,9,15,16,4,0,0,0,0,8,7,6,16,0,0,0,0,0,0,10,12,0,0,0,0,3,15,15,1,0,0,0,0,1,9,12,11,2,0,0,0,0,0,0,5,10,0,0,0,12,4,4,6,15,0,0,0,5,11,12,12,6,0,3
0,0,12,16,15,6,0,0,0,0,15,13,11,16,3,0,0,0,1,7,5,16,5,0,0,0,1,13,16,11,0,0,0,0,1,10,15,15,1,0,0,0,0,0,0,13,11,0,0,2,11,4,4,14,8,0,0,0,11,16,16,14,1,0,3
0,3,16,16,16,16,8,0,0,0,5,8,12,16,6,0,0,0,0,0,13,12,0,0,0,8,12,12,16,10,1,0,0,8,16,16,16,15,1,0,0,0,8,15,3,0,0,0,0,2,15,8,0,0,0,0,0,2,15,2,0,0,0,0,7
0,0,0,4,16,5,0,0,0,0,1,12,16,6,0,0,0,5,14,16,16,1,0,0,0,13,16,14,16,3,0,0,0,1,2,9,16,4,0,0,0,0,0,5,16,4,0,0,0,0,0,4,16,6,0,0,0,0,0,5,16,9,0,0,1
0,0,0,0,15,8,0,0,0,0,0,2,16,8,0,0,0,0,0,11,16,3,0,0,0,0,5,16,16,3,0,0,0,9,16,11,16,1,0,0,0,1,7,1,16,2,0,0,0,0,0,1,16,5,0,0,0,0,0,0,13,8,0,0,1
0,0,13,16,16,12,0,0,0,0,9,12,8,7,0,0,0,0,11,16,7,0,0,0,0,0,11,15,14,3,0,0,0,0,1,2,6,11,0,0,0,0,0,0,3,14,0,0,0,0,0,0,9,12,0,0,0,0,12,16,16,6,0,0,5
0,0,8,16,16,7,0,0,0,2,16,14,7,16,0,0,0,3,15,1,5,16,1,0,0,1,14,13,13,16,3,0,0,0,1,8,8,14,6,0,0,0,0,0,0,10,10,0,0,0,0,1,2,15,9,0,0,0,10,16,16,16,4,0,9
0,0,0,8,11,0,0,0,0,0,3,16,6,0,0,0,0,0,9,10,0,0,0,0,0,0,11,4,1,0,0,0,0,0,13,15,16,14,4,0,0,0,13,10,4,4,14,1,0,0,6,10,2,6,16,2,0,0,1,8,13,14,5,0,6
0,0,0,9,14,1,0,0,0,0,2,16,11,0,0,0,0,0,7,16,5,0,0,0,0,0,11,14,0,0,0,0,0,0,14,10,4,0,0,0,0,0,16,16,16,13,2,0,0,0,9,15,6,12,10,0,0,0,0,8,16,16,12,0,6
0,0,0,3,16,9,0,0,0,0,0,8,16,10,0,0,0,0,5,15,16,11,0,0,0,5,16,16,16,12,0,0,0,7,12,3,16,11,0,0,0,0,0,0,15,9,0,0,0,0,0,3,16,9,0,0,0,0,0,4,16,4,0,0,1
0,0,4,10,14,3,0,0,0,0,16,11,10,12,0,0,0,4,12,0,0,10,3,0,0,5,11,0,0,7,4,0,0,6,8,0,0,10,4,0,0,3,9,0,0,10,3,0,0,0,13,9,11,13,0,0,0,0,2,14,12,3,0,0,0
0,2,16,14,12,9,2,0,0,0,6,12,16,16,12,0,0,1,1,1,15,11,2,0,0,10,13,12,16,7,0,0,0,3,14,16,16,16,5,0,0,0,10,14,6,6,1,0,0,2,16,8,0,0,0,0,0,2,16,4,0,0,0,0,7
0,0,3,12,13,3,0,0,0,0,12,14,7,12,0,0,0,1,16,1,0,14,0,0,0,0,14,0,0,15,0,0,0,0,1,0,4,12,0,0,0,0,0,0,14,8,0,0,0,0,2,14,16,12,14,2,0,0,7,16,12,12,12,3,2
0,0,8,16,15,5,0,0,0,7,16,14,5,15,2,0,0,10,16,8,0,9,9,0,0,10,16,3,0,4,12,0,0,9,14,0,0,6,12,0,0,7,13,0,0,14,7,0,0,2,16,8,12,14,1,0,0,0,10,16,13,3,0,0,0
0,0,0,11,13,0,0,0,0,0,3,15,9,0,0,0,0,0,10,13,1,5,11,0,0,5,16,4,3,14,11,0,0,10,16,9,15,15,3,0,0,9,16,13,16,9,0,0,0,0,0,6,16,2,0,0,0,0,0,14,9,0,0,0,4
0,2,11,11,16,16,4,0,0,3,16,12,10,8,0,0,0,7,16,11,1,0,0,0,0,11,16,16,13,0,0,0,0,1,4,0,16,4,0,0,0,0,0,0,12,8,0,0,0,0,4,4,16,5,0,0,0,1,15,16,13,1,0,0,5
0,2,6,16,11,0,0,0,0,9,16,8,10,10,0,0,0,7,11,0,0,11,1,0,0,8,13,0,0,7,5,0,0,6,13,0,0,8,7,0,0,2,14,0,0,14,4,0,0,0,12,7,12,12,0,0,0,0,2,13,14,4,0,0,0
0,0,6,16,16,13,1,0,0,0,11,13,7,16,6,0,0,0,1,3,0,16,7,0,0,0,0,2,8,15,2,0,0,0,8,16,16,8,0,0,0,0,0,5,11,15,6,0,0,0,0,0,1,14,12,0,0,0,9,13,16,15,3,0,3
0,0,0,12,15,2,0,0,0,0,6,16,11,1,0,0,0,0,14,14,0,0,0,0,0,0,16,11,3,0,0,0,0,2,16,16,16,7,0,0,0,0,16,13,4,14,5,0,0,0,10,14,6,15,10,0,0,0,0,9,15,16,5,0,6
0,0,3,8,14,9,0,0,0,0,11,14,6,13,3,0,0,3,16,3,0,6,6,0,0,6,15,0,0,8,5,0,0,4,12,0,0,11,1,0,0,1,12,0,4,10,0,0,0,0,9,11,14,5,0,0,0,0,2,13,7,0,0,0,0
0,0,8,16,16,10,0,0,0,1,15,15,9,15,1,0,0,0,14,3,0,15,5,0,0,0,0,0,0,15,6,0,0,0,0,0,5,16,4,0,0,0,0,0,12,14,0,0,0,0,8,15,16,6,4,1,0,0,10,16,16,16,16,9,2
0,0,0,4,16,5,0,0,0,0,0,11,16,8,0,0,0,2,9,16,16,4,0,0,0,11,16,16,16,4,0,0,0,3,4,6,16,4,0,0,0,0,0,4,16,3,0,0,0,0,0,6,16,6,0,0,0,0,0,6,16,2,0,0,1
0,0,0,4,12,1,0,0,0,0,2,16,11,3,0,0,0,0,7,15,1,0,0,0,0,0,11,11,4,2,0,0,0,0,13,16,13,15,4,0,0,0,13,7,0,0,15,1,0,0,5,13,2,3,15,1,0,0,0,6,14,15,5,0,6
0,0,0,10,16,2,0,0,0,0,4,16,13,1,0,0,0,0,10,16,2,0,0,0,0,0,13,10,0,0,0,0,0,0,16,15,10,0,0,0,0,0,14,16,13,10,0,0,0,0,11,16,8,16,1,0,0,0,1,10,16,13,0,0,6
0,0,0,10,13,0,0,0,0,0,3,16,10,0,0,0,0,0,6,15,1,0,0,0,0,0,10,13,0,0,0,0,0,0,8,16,15,7,0,0,0,0,11,15,12,13,7,0,0,0,5,15,5,7,16,1,0,0,0,6,15,16,15,1,6
0,0,5,16,16,8,0,0,0,0,6,14,10,16,1,0,0,0,0,4,13,16,1,0,0,0,6,16,16,5,0,0,0,0,1,9,15,10,0,0,0,0,6,0,3,15,5,0,0,0,14,8,11,16,7,0,0,0,5,15,16,13,1,0,3
0,0,0,8,16,5,0,0,0,0,0,13,16,7,0,0,0,0,5,16,8,0,0,0,0,0,7,16,4,0,0,0,0,0,9,15,8,8,5,0,0,0,15,16,16,16,16,4,0,0,5,15,10,8,16,5,0,0,0,6,15,16,14,0,6
0,1,7,15,13,6,0,0,0,7,13,2,4,15,0,0,0,4,12,6,13,4,0,0,0,0,10,16,8,0,0,0,0,0,14,12,6,0,0,0,0,2,12,0,12,3,0,0,0,0,14,1,6,8,0,0,0,0,4,13,13,5,0,0,8
0,0,5,12,14,3,0,0,0,0,9,10,7,12,0,0,0,0,0,0,6,15,0,0,0,0,1,5,15,7,0,0,0,0,2,14,16,1,0,0,0,0,0,0,8,13,1,0,0,0,4,1,1,10,8,0,0,0,7,13,16,13,7,0,3
0,3,15,16,16,16,4,0,0,1,10,8,12,16,0,0,0,0,0,0,14,10,0,0,0,5,16,13,16,14,9,0,0,3,12,16,13,8,2,0,0,0,9,14,1,0,0,0,0,2,16,7,0,0,0,0,0,5,13,1,0,0,0,0,7
0,0,0,13,8,0,0,0,0,0,11,13,3,0,0,0,0,2,16,5,0,4,2,0,0,7,14,1,5,16,5,0,0,6,15,12,16,11,0,0,0,0,6,11,16,1,0,0,0,0,0,8,13,0,0,0,0,0,0,15,7,0,0,0,4
0,0,6,16,14,5,0,0,0,0,9,15,12,15,0,0,0,0,0,6,2,16,5,0,0,0,0,0,6,16,3,0,0,0,0,0,13,15,0,0,0,0,1,9,16,8,0,0,0,0,11,16,16,12,5,0,0,0,6,16,16,16,14,0,2
0,7,16,16,16,16,3,0,0,3,12,12,13,15,1,0,0,0,0,2,14,6,0,0,0,3,8,11,15,8,5,0,0,5,16,16,14,12,6,0,0,0,7,13,0,0,0,0,0,2,16,3,0,0,0,0,0,7,11,0,0,0,0,0,7
0,0,5,16,16,7,0,0,0,0,6,15,8,15,3,0,0,0,0,0,0,15,6,0,0,0,0,1,10,16,5,0,0,0,0,10,16,8,0,0,0,0,4,1,13,13,0,0,0,3,15,5,7,16,0,0,0,0,2,15,16,13,1,0,3
0,0,1,15,10,0,0,0,0,0,11,15,3,0,0,0,0,5,16,7,0,9,5,0,0,11,13,0,8,16,11,0,0,11,15,12,16,12,0,0,0,3,11,16,16,1,0,0,0,0,0,13,12,0,0,0,0,0,0,15,8,0,0,0,4
0,0,5,16,0,0,0,0,0,0,12,9,2,13,1,0,0,4,16,1,8,15,0,0,0,8,13,1,14,15,11,0,0,7,16,16,16,9,2,0,0,1,8,14,13,0,0,0,0,0,1,15,7,0,0,0,0,0,4,16,0,0,0,0,4
0,0,0,4,15,12,0,0,0,0,0,10,16,14,0,0,0,2,9,16,16,13,0,0,0,14,16,13,14,14,0,0,0,5,12,0,11,16,0,0,0,0,0,0,13,14,0,0,0,0,0,1,16,11,0,0,0,0,0,4,16,7,0,0,1
0,0,6,15,12,2,0,0,0,3,16,5,8,12,0,0,0,3,14,4,5,16,0,0,0,0,6,12,12,14,1,0,0,0,0,0,0,6,6,0,0,0,0,0,0,3,9,0,0,0,2,1,1,8,10,0,0,0,5,11,15,14,7,0,9
0,0,0,12,13,1,0,0,0,0,1,14,16,3,0,0,0,2,13,16,16,2,0,0,0,15,16,16,16,3,0,0,0,5,3,10,16,2,0,0,0,0,0,6,16,5,0,0,0,0,0,9,16,5,0,0,0,0,0,10,16,3,0,0,1
0,4,16,16,16,16,6,0,0,3,11,8,14,15,2,0,0,0,0,0,15,7,0,0,0,0,2,7,16,8,3,0,0,7,16,16,16,16,11,0,0,1,9,16,3,0,0,0,0,0,13,13,0,0,0,0,0,6,15,4,0,0,0,0,7
0,2,16,16,16,16,5,0,0,0,4,8,10,16,6,0,0,0,0,0,10,9,0,0,0,3,4,4,15,5,3,0,0,9,16,16,16,16,8,0,0,1,12,14,5,2,0,0,0,1,14,6,0,0,0,0,0,4,14,0,0,0,0,0,7
0,1,14,16,6,0,0,0,0,4,15,10,13,0,0,0,0,1,3,4,15,0,0,0,0,0,0,2,15,0,0,0,0,0,0,9,9,0,0,0,0,0,1,15,4,0,0,0,0,1,13,14,7,2,0,0,0,3,15,16,16,16,13,1,2
0,0,0,1,13,2,0,0,0,0,0,8,16,4,0,0,0,0,0,16,8,0,0,0,0,0,3,16,2,0,0,0,0,0,13,16,11,5,0,0,0,1,15,12,6,12,4,0,0,0,1,13,8,12,10,0,0,0,0,2,12,13,8,0,6
0,1,12,14,16,11,0,0,0,3,15,11,13,16,2,0,0,0,2,11,16,5,0,0,0,0,8,16,16,6,0,0,0,0,0,3,12,16,3,0,0,0,0,0,0,12,15,0,0,3,10,1,3,14,15,0,0,3,11,16,16,16,4,0,3
0,0,11,12,16,15,2,0,0,0,14,13,4,4,0,0,0,0,14,9,0,0,0,0,0,1,16,16,11,1,0,0,0,0,3,4,14,7,0,0,0,0,0,0,6,12,0,0,0,2,9,2,14,11,0,0,0,0,15,16,15,3,0,0,5
0,3,16,16,16,16,0,0,0,0,13,12,8,4,0,0,0,0,12,12,0,0,0,0,0,0,16,16,8,0,0,0,0,0,11,5,14,7,0,0,0,0,0,0,8,16,0,0,0,2,11,4,14,13,0,0,0,2,15,16,15,2,0,0,5
0,0,9,15,16,6,0,0,0,7,16,12,11,14,1,0,0,7,16,4,9,16,5,0,0,0,11,16,16,16,3,0,0,0,0,3,8,16,2,0,0,0,0,0,3,16,4,0,0,0,9,2,5,16,3,0,0,0,10,16,16,13,1,0,9
0,2,13,16,14,3,0,0,0,11,15,8,14,14,0,0,0,9,6,0,6,15,2,0,0,0,0,0,11,13,0,0,0,0,0,2,16,6,0,0,0,0,1,12,13,0,0,0,0,1,12,16,8,4,4,0,0,2,15,16,16,16,16,5,2
0,0,9,16,16,8,0,0,0,0,15,13,12,12,0,0,0,0,11,2,13,11,0,0,0,0,0,4,16,8,0,0,0,0,5,15,10,0,0,0,0,3,16,13,0,0,0,0,0,7,16,10,4,4,7,0,0,0,8,16,16,16,14,0,2
0,3,16,14,12,13,7,0,0,0,7,8,13,15,5,0,0,0,0,3,15,4,0,0,0,0,0,9,10,0,0,0,0,9,14,16,13,12,9,0,0,3,13,13,9,8,5,0,0,2,16,2,0,0,0,0,0,5,14,0,0,0,0,0,7
0,0,0,14,6,0,0,0,0,0,4,16,6,0,0,0,0,0,8,15,0,0,0,0,0,0,12,11,4,3,0,0,0,0,15,16,16,16,10,0,0,0,16,12,4,3,12,6,0,0,9,13,1,0,11,12,0,0,0,9,15,16,16,7,6
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
0,0,5,16,16,10,0,0,0,0,14,12,10,13,0,0,0,0,11,12,15,10,0,0,0,0,3,16,14,1,0,0,0,0,7,16,15,0,0,0,0,0,16,9,14,6,0,0,0,1,16,4,10,12,0,0,0,0,5,16,16,8,0,0,8
0,5,15,15,3,0,0,0,0,12,14,13,12,0,0,0,0,7,9,3,16,2,0,0,0,0,0,0,16,4,0,0,0,0,0,5,16,0,0,0,0,0,0,9,12,0,0,0,0,1,8,16,12,4,1,0,0,8,16,16,16,16,13,0,2
0,0,7,10,10,2,0,0,0,0,12,16,16,4,0,0,0,0,5,16,16,4,0,0,0,0,4,16,16,5,0,0,0,0,1,15,16,7,0,0,0,0,4,16,16,12,0,0,0,0,9,16,16,12,0,0,0,0,6,12,12,11,0,0,1
0,7,16,13,2,0,0,0,0,8,14,12,14,0,0,0,0,1,2,4,16,0,0,0,0,0,0,0,16,4,0,0,0,0,0,5,16,2,0,0,0,0,0,11,15,0,0,0,0,1,11,16,16,13,11,0,0,4,16,16,12,12,9,0,2
0,0,8,15,16,8,0,0,0,5,16,12,11,16,0,0,0,3,8,1,12,13,0,0,0,0,0,11,16,13,1,0,0,0,0,5,8,15,9,0,0,0,2,1,0,9,11,0,0,0,14,12,5,15,7,0,0,0,9,16,16,13,1,0,3
0,0,8,16,12,2,0,0,0,0,13,4,6,12,0,0,0,3,15,1,3,13,0,0,0,6,14,10,4,16,1,0,0,0,8,12,11,13,4,0,0,0,0,0,0,6,8,0,0,0,6,4,0,6,7,0,0,0,6,14,14,15,1,0,9
0,0,5,16,16,6,0,0,0,1,15,13,10,15,1,0,0,5,16,9,0,12,7,0,0,8,11,0,0,7,12,0,0,12,9,0,0,4,12,0,0,9,13,0,0,6,13,0,0,1,15,10,4,11,11,0,0,0,6,16,16,13,1,0,0
0,0,3,11,9,3,0,0,0,0,8,16,16,15,1,0,0,0,1,16,16,16,0,0,0,0,2,16,16,15,2,0,0,0,4,16,16,16,3,0,0,0,6,16,16,16,0,0,0,0,9,16,16,14,0,0,0,0,7,12,11,5,0,0,1
0,3,16,16,7,0,0,0,0,4,16,11,16,5,0,0,0,0,3,1,12,12,0,0,0,0,0,0,10,12,0,0,0,0,0,0,10,11,0,0,0,0,0,3,15,8,0,0,0,0,4,14,16,11,6,0,0,1,16,16,16,14,16,5,2
0,1,12,12,13,13,4,0,0,3,14,6,4,2,1,0,0,5,11,6,2,0,0,0,0,6,16,12,15,4,0,0,0,1,1,0,5,14,0,0,0,0,0,0,2,16,0,0,0,0,4,3,7,14,0,0,0,2,14,16,14,3,0,0,5
0,2,11,16,15,4,0,0,0,11,15,8,15,10,0,0,0,3,3,8,16,7,0,0,0,0,4,16,16,9,0,0,0,0,0,4,7,16,4,0,0,0,0,0,0,13,11,0,0,2,15,6,1,14,10,0,0,2,16,16,16,13,3,0,3
0,0,9,16,10,1,0,0,0,9,16,9,16,6,0,0,0,16,9,3,16,5,0,0,0,3,6,12,16,10,0,0,0,0,1,10,9,15,8,0,0,0,0,0,0,9,15,0,0,0,3,9,2,13,12,0,0,0,7,16,16,15,4,0,3
0,0,2,10,13,3,0,0,0,1,13,7,7,13,0,0,0,7,7,0,2,16,1,0,0,2,11,2,0,13,4,0,0,0,6,15,13,16,8,0,0,0,0,0,0,8,8,0,0,0,0,10,4,9,7,0,0,0,0,11,16,14,2,0,9
0,0,0,1,14,7,0,0,0,0,0,5,16,1,0,0,0,0,2,14,7,0,0,0,0,0,10,15,1,6,12,0,0,3,15,3,1,14,6,0,1,15,10,4,10,15,0,0,10,16,16,16,16,12,0,0,0,2,2,0,16,2,0,0,4
0,0,1,12,7,0,0,0,0,0,10,13,0,0,0,0,0,2,15,3,0,0,0,0,0,4,15,0,3,0,0,0,0,4,14,15,16,15,2,0,0,0,16,11,2,6,12,0,0,0,13,10,1,5,13,0,0,0,2,10,16,16,6,0,6
0,0,0,9,15,10,0,0,0,0,6,10,4,14,4,0,0,0,12,2,0,12,5,0,0,5,15,3,6,13,2,0,0,0,5,16,14,1,0,0,0,0,2,14,12,5,0,0,0,0,0,13,1,13,3,0,0,0,0,9,13,13,2,0,8
0,1,12,16,15,3,0,0,0,11,13,5,13,8,0,0,0,3,1,8,16,5,0,0,0,0,3,16,16,13,1,0,0,0,0,0,1,14,6,0,0,0,1,0,0,9,11,0,0,2,15,1,0,13,9,0,0,0,13,16,15,15,2,0,3
0,0,8,12,13,14,4,0,0,0,15,8,2,4,1,0,0,1,16,5,2,0,0,0,0,4,12,13,14,8,0,0,0,0,0,0,1,12,4,0,0,0,0,0,0,8,5,0,0,0,6,3,2,14,2,0,0,0,9,16,14,5,0,0,5
0,0,6,12,0,0,0,0,0,0,12,9,0,0,0,0,0,0,15,3,0,0,0,0,0,1,16,1,0,0,0,0,0,3,16,15,10,4,2,0,0,2,16,9,0,6,12,0,0,0,13,10,0,6,15,0,0,0,6,16,16,15,7,0,6
0,0,0,1,12,10,0,0,0,0,0,1,16,7,0,0,0,0,0,12,12,0,4,0,0,0,5,15,3,7,13,0,0,2,15,5,1,15,6,0,0,12,14,8,11,16,5,0,1,15,16,15,15,14,2,0,0,0,0,0,12,10,0,0,4
0,0,0,11,6,0,0,0,0,0,5,16,3,0,0,0,0,0,10,14,0,0,0,0,0,0,14,8,0,0,0,0,0,0,16,15,16,14,5,0,0,0,15,9,0,4,14,0,0,0,9,15,0,3,16,2,0,0,0,9,14,12,7,0,6
0,0,12,15,16,8,0,0,0,0,11,13,0,2,0,0,0,0,11,6,1,0,0,0,0,2,16,16,15,8,0,0,0,0,3,0,0,11,2,0,0,0,0,0,0,8,8,0,0,4,5,0,1,12,2,0,0,1,11,15,16,8,0,0,5
0,0,0,10,2,0,0,0,0,0,2,16,5,0,0,0,0,0,6,11,0,0,0,0,0,0,12,13,7,1,0,0,0,1,16,14,12,14,2,0,0,2,16,10,0,6,13,0,0,0,10,14,2,1,16,2,0,0,1,10,16,15,14,2,6
0,0,6,12,9,4,0,0,0,0,2,14,16,14,0,0,0,0,0,12,16,16,0,0,0,0,0,15,16,13,0,0,0,0,0,16,16,12,0,0,0,0,5,16,16,5,0,0,0,0,7,16,16,5,0,0,0,0,9,12,11,2,0,0,1
0,0,3,13,0,0,0,0,0,0,11,9,0,0,0,0,0,0,14,6,0,0,0,0,0,0,16,1,0,0,0,0,0,2,16,15,16,8,0,0,0,1,16,13,5,11,10,0,0,0,13,11,0,2,16,3,0,0,2,15,16,16,13,1,6
0,0,13,16,15,13,4,0,0,0,11,14,4,2,1,0,0,0,6,12,15,7,0,0,0,0,0,0,1,11,2,0,0,0,0,0,0,5,7,0,0,1,3,0,0,5,8,0,0,7,9,2,4,13,4,0,0,1,10,14,14,7,0,0,5
0,0,9,12,12,12,7,0,0,0,10,12,4,4,2,0,0,0,14,9,5,0,0,0,0,3,16,15,14,12,0,0,0,3,9,0,0,15,5,0,0,0,0,0,0,10,7,0,0,0,7,6,1,15,2,0,0,0,8,16,16,10,0,0,5
0,0,3,10,15,13,2,0,0,3,14,12,9,12,7,0,0,4,14,4,2,14,2,0,0,0,5,15,14,8,0,0,0,0,3,15,12,13,1,0,0,0,10,8,0,12,7,0,0,0,11,7,0,9,8,0,0,0,3,11,15,14,2,0,8
0,0,9,16,16,12,14,0,0,0,4,8,11,14,13,0,0,0,0,0,3,15,2,0,0,0,0,6,13,15,8,0,0,0,6,16,15,8,2,0,0,0,1,14,9,0,0,0,0,0,4,16,1,0,0,0,0,0,12,9,0,0,0,0,7
0,0,13,15,16,16,3,0,0,1,14,4,4,0,0,0,0,2,14,11,7,1,0,0,0,2,15,9,13,11,0,0,0,0,0,0,0,15,2,0,0,0,0,0,0,14,3,0,0,3,13,4,6,14,0,0,0,0,13,16,12,3,0,0,5
0,0,12,16,12,1,0,0,0,8,15,10,15,6,0,0,0,3,6,1,15,3,0,0,0,0,0,10,16,9,1,0,0,0,2,14,12,16,6,0,0,0,4,0,0,10,9,0,0,0,16,8,6,15,7,0,0,0,10,16,16,13,1,0,3
0,0,0,0,12,7,0,0,0,0,0,2,16,4,0,0,0,0,0,12,13,9,3,0,0,0,8,15,4,16,1,0,0,1,15,8,4,16,0,0,0,14,14,8,11,15,1,0,0,9,16,16,16,16,4,0,0,0,0,0,13,6,0,0,4
0,0,10,16,15,14,8,0,0,0,7,9,8,14,13,0,0,0,0,0,3,15,2,0,0,0,0,6,13,13,6,0,0,0,1,16,15,12,4,0,0,0,0,12,6,0,0,0,0,0,6,13,1,0,0,0,0,0,12,6,0,0,0,0,7
0,0,6,13,15,6,0,0,0,1,16,5,3,13,0,0,0,8,13,0,4,12,0,0,0,3,12,5,15,4,0,0,0,0,7,16,11,0,0,0,0,0,14,7,12,7,0,0,0,0,13,1,1,16,2,0,0,0,4,13,13,10,1,0,8
0,3,15,15,3,0,0,0,0,6,16,10,14,2,0,0,0,0,4,0,16,5,0,0,0,0,0,0,15,7,0,0,0,0,0,3,16,2,0,0,0,0,0,8,14,0,0,0,0,0,10,16,7,6,7,1,0,2,16,16,16,16,13,2,2
0,0,0,13,6,0,0,0,0,0,4,15,1,0,0,0,0,0,11,9,0,0,0,0,0,1,15,6,0,0,0,0,0,1,16,12,16,12,3,0,0,0,15,16,5,6,14,0,0,0,12,15,1,1,15,2,0,0,1,12,15,15,10,0,6
0,0,4,12,9,0,0,0,0,0,8,15,9,9,0,0,0,0,15,6,0,12,2,0,0,3,12,0,0,8,7,0,0,7,11,0,0,5,8,0,0,6,12,0,0,7,8,0,0,3,16,7,5,15,4,0,0,0,5,13,13,8,0,0,0
0,0,5,12,15,11,2,0,0,7,11,5,5,16,4,0,0,7,6,0,11,13,0,0,0,0,13,14,11,1,0,0,0,0,14,14,13,2,0,0,0,3,13,0,8,12,2,0,0,0,14,3,0,11,12,0,0,0,8,16,16,14,3,0,8
0,0,6,12,8,4,0,0,0,0,6,16,16,10,0,0,0,0,2,16,16,14,0,0,0,0,0,14,16,16,1,0,0,0,1,14,16,13,0,0,0,0,7,16,16,10,0,0,0,0,8,16,16,7,0,0,0,0,6,12,12,11,0,0,1
0,2,14,16,10,1,0,0,0,11,15,8,15,9,0,0,0,8,5,0,11,12,0,0,0,0,0,0,11,15,0,0,0,0,0,1,16,7,0,0,0,0,0,8,16,4,0,0,0,0,7,16,14,4,1,0,0,2,16,16,16,16,15,1,2
0,0,7,16,16,10,0,0,0,0,13,16,16,7,0,0,0,0,9,16,16,14,1,0,0,0,7,16,16,13,0,0,0,0,2,16,16,10,0,0,0,0,6,16,16,10,0,0,0,0,12,16,16,6,0,0,0,0,8,16,16,10,0,0,1
0,0,3,14,3,0,0,0,0,0,12,11,0,0,0,0,0,0,15,4,0,0,0,0,0,4,16,10,6,0,0,0,0,3,16,15,13,11,1,0,0,2,16,4,0,9,9,0,0,0,13,11,0,6,15,0,0,0,4,14,13,16,7,0,6
0,0,5,12,14,5,0,0,0,0,6,16,16,13,1,0,0,0,0,16,16,16,0,0,0,0,0,13,16,16,1,0,0,0,0,14,16,10,0,0,0,0,2,16,16,8,0,0,0,0,7,16,16,5,0,0,0,0,9,16,16,7,0,0,1
0,0,0,6,14,1,0,0,0,0,0,13,7,0,0,0,0,0,6,14,2,0,6,0,0,1,14,5,0,9,15,0,0,9,14,0,2,16,6,0,1,15,15,12,14,15,3,0,1,12,12,10,16,4,0,0,0,0,0,7,13,0,0,0,4
0,0,2,10,16,13,0,0,0,2,15,9,1,15,3,0,0,8,10,0,6,14,0,0,0,6,14,12,14,3,0,0,0,2,16,13,11,0,0,0,0,7,10,0,11,8,0,0,0,0,14,3,0,13,1,0,0,0,2,14,16,14,0,0,8
0,0,9,15,12,2,0,0,0,4,15,5,8,15,0,0,0,7,13,0,4,16,1,0,0,2,16,7,8,16,4,0,0,0,5,12,11,14,6,0,0,0,0,0,0,12,8,0,0,0,3,2,1,13,4,0,0,0,11,16,16,10,0,0,9
0,1,14,15,2,0,0,0,0,2,13,12,12,0,0,0,0,0,0,4,16,3,0,0,0,0,0,1,16,6,0,0,0,0,0,5,16,0,0,0,0,0,0,8,12,0,0,0,0,0,5,16,10,8,7,1,0,1,15,16,16,14,12,2,2
0,0,4,15,0,0,0,0,0,0,11,9,0,0,0,0,0,0,16,3,0,0,0,0,0,3,16,4,7,0,0,0,0,3,16,16,14,11,1,0,0,3,16,9,0,8,10,0,0,0,14,9,0,2,16,0,0,0,3,14,16,16,10,1,6
0,2,12,13,15,16,7,0,0,2,16,6,0,0,1,0,0,1,16,12,8,0,0,0,0,2,12,6,11,13,0,0,0,0,0,0,0,11,6,0,0,1,1,0,0,8,8,0,0,6,10,0,3,15,2,0,0,2,15,16,12,5,0,0,5
0,0,3,12,13,1,0,0,0,1,14,11,10,8,0,0,0,4,16,3,0,12,2,0,0,4,13,1,0,9,6,0,0,6,12,0,0,5,8,0,0,3,13,0,0,4,9,0,0,0,15,8,4,13,8,0,0,0,5,15,15,9,0,0,0
0,0,7,16,16,4,0,0,0,5,15,14,8,13,0,0,0,8,12,0,0,12,6,0,0,8,8,0,0,6,12,0,0,12,8,0,0,4,12,0,0,8,10,0,0,7,11,0,0,2,16,7,6,14,7,0,0,0,6,15,15,8,0,0,0
0,0,3,11,13,10,0,0,0,3,15,7,4,14,2,0,0,8,13,1,1,14,2,0,0,7,13,14,10,13,0,0,0,0,1,14,16,1,0,0,0,0,10,11,10,10,0,0,0,0,11,6,3,13,0,0,0,0,3,13,16,9,0,0,8
0,0,0,4,15,2,0,0,0,0,0,9,12,0,1,2,0,0,1,15,4,0,12,8,0,1,12,9,0,5,15,1,0,8,13,0,0,12,10,0,4,16,13,12,14,15,1,0,7,14,12,12,16,6,0,0,0,0,0,6,14,0,0,0,4
0,0,0,0,15,11,0,0,0,0,0,1,16,8,0,0,0,0,0,12,13,1,0,0,0,0,7,15,2,12,3,0,0,1,15,7,2,16,4,0,0,10,16,11,11,16,3,0,0,15,12,12,15,16,5,0,0,0,0,0,13,7,0,0,4
0,0,14,16,16,15,5,0,0,0,13,8,4,5,2,0,0,0,13,6,2,0,0,0,0,0,16,13,14,2,0,0,0,0,0,0,5,11,0,0,0,0,0,0,0,16,0,0,0,4,11,1,5,12,0,0,0,1,11,16,15,3,0,0,5
0,1,6,14,11,0,0,0,0,7,10,2,15,4,0,0,0,5,10,1,13,9,0,0,0,2,14,4,12,16,0,0,0,0,5,12,5,11,7,0,0,0,0,0,0,8,8,0,0,0,3,1,0,11,6,0,0,0,10,13,12,8,0,0,9
0,0,6,14,16,9,0,0,0,5,16,10,12,12,0,0,0,1,7,0,9,12,0,0,0,0,2,13,16,8,0,0,0,0,2,13,14,16,7,0,0,0,1,0,0,10,9,0,0,0,11,9,5,15,7,0,0,0,7,16,16,10,0,0,3
0,0,11,15,0,0,0,0,0,0,9,16,1,0,0,0,0,0,9,16,0,0,0,0,0,0,11,13,0,9,5,0,0,0,13,11,0,11,13,0,0,1,15,10,6,12,16,1,0,4,16,16,16,15,16,4,0,0,7,7,4,0,15,7,4
0,0,0,10,15,6,0,0,0,0,7,16,10,12,2,0,0,1,15,5,1,11,4,0,0,3,14,0,0,5,6,0,0,7,10,0,0,3,8,0,0,4,12,0,0,4,11,0,0,0,15,4,0,10,8,0,0,0,2,12,13,13,1,0,0
0,0,0,1,16,6,0,0,0,0,0,9,15,2,0,0,0,0,3,16,4,1,4,0,0,1,13,11,0,11,13,0,0,6,15,2,2,16,7,0,0,13,15,12,15,16,6,0,0,4,8,8,14,11,1,0,0,0,0,0,15,6,0,0,4
0,0,4,13,14,3,0,0,0,6,15,6,5,11,0,0,0,11,8,0,4,12,0,0,0,8,11,4,16,5,0,0,0,1,10,16,15,2,0,0,0,1,14,7,6,15,4,0,0,1,15,2,0,6,15,0,0,0,5,12,13,15,6,0,8
0,0,3,16,13,6,0,0,0,1,9,13,12,16,2,0,0,10,16,10,6,16,4,0,0,7,16,16,16,16,8,0,0,0,4,8,5,10,10,0,0,0,0,0,0,8,12,0,0,0,1,10,5,15,8,0,0,0,2,14,16,12,0,0,9
0,2,12,16,16,13,1,0,0,11,15,4,3,16,7,0,0,7,11,1,13,13,0,0,0,0,0,10,16,15,3,0,0,0,0,1,4,14,11,0,0,1,4,0,0,12,12,0,0,8,14,0,3,16,5,0,0,3,13,16,16,10,0,0,3
0,0,7,15,16,11,1,0,0,0,0,15,16,16,1,0,0,0,0,13,16,16,6,0,0,0,0,13,16,16,3,0,0,0,0,14,16,14,2,0,0,0,2,16,16,12,0,0,0,0,5,16,16,14,0,0,0,0,8,16,16,8,0,0,1
0,0,12,16,14,6,0,0,0,2,16,16,16,6,0,0,0,4,16,16,12,2,0,0,0,3,16,16,16,1,0,0,0,2,16,16,16,0,0,0,0,4,16,16,12,0,0,0,0,3,16,16,15,4,0,0,0,2,14,16,12,8,0,0,1
0,0,0,8,16,5,0,0,0,0,9,13,7,14,0,0,0,0,15,2,0,9,4,0,0,3,13,0,0,4,8,0,0,4,7,0,0,4,8,0,0,3,12,0,0,4,9,0,0,0,11,10,1,7,9,0,0,0,1,9,15,14,3,0,0
0,0,14,16,12,16,16,0,0,0,8,12,8,16,11,0,0,0,0,0,7,15,3,0,0,0,2,7,14,14,3,0,0,0,12,16,14,12,6,0,0,0,1,15,5,0,0,0,0,0,9,16,0,0,0,0,0,0,16,9,0,0,0,0,7
0,6,16,12,2,0,0,0,0,1,13,16,12,0,0,0,0,0,0,12,12,0,0,0,0,0,1,15,9,0,0,0,0,0,4,16,1,0,0,0,0,0,14,11,0,0,0,0,0,5,16,15,16,15,4,0,0,4,15,13,12,11,8,0,2
0,0,0,5,16,4,0,0,0,0,1,13,13,1,0,0,0,0,7,16,5,2,3,0,0,3,16,15,10,15,13,0,0,10,16,16,16,16,8,0,0,1,4,5,16,15,3,0,0,0,0,4,16,11,0,0,0,0,0,7,16,3,0,0,4
0,0,6,9,13,7,0,0,0,7,16,12,13,14,0,0,0,5,3,1,15,7,0,0,0,0,0,5,16,1,0,0,0,0,0,4,16,6,0,0,0,0,0,0,10,16,10,0,0,0,0,1,7,16,10,0,0,0,4,15,13,8,0,0,3
0,5,14,15,9,1,0,0,0,7,14,12,16,15,1,0,0,0,1,0,9,16,4,0,0,0,0,0,7,16,4,0,0,0,0,0,12,14,0,0,0,0,1,11,16,4,0,0,0,3,14,16,13,8,2,0,0,4,12,16,12,10,4,0,2
0,0,3,10,12,0,0,0,0,0,9,16,16,11,0,0,0,0,14,12,2,15,3,0,0,1,16,9,0,9,7,0,0,4,15,1,0,8,8,0,0,3,16,0,0,7,11,0,0,2,15,10,9,15,6,0,0,0,3,15,15,7,0,0,0
0,0,1,14,10,0,0,0,0,0,10,13,1,0,0,0,0,2,15,4,0,0,0,0,0,5,16,2,0,0,0,0,0,8,15,2,0,0,0,0,0,4,16,16,16,14,2,0,0,0,12,16,14,16,10,0,0,0,2,11,14,13,7,0,6
0,0,1,10,2,3,0,0,0,0,8,16,15,16,0,0,0,0,12,16,16,4,0,0,0,0,12,16,7,0,0,0,0,3,16,13,13,1,0,0,0,1,16,4,12,10,0,0,0,0,11,12,11,16,2,0,0,0,2,12,14,9,1,0,8
0,0,9,15,4,0,0,0,0,8,16,11,7,0,0,0,0,11,11,0,2,10,0,0,0,6,16,6,13,14,1,0,0,0,7,16,16,4,0,0,0,0,5,16,16,9,0,0,0,0,10,16,16,14,0,0,0,0,6,16,9,4,0,0,8
0,0,7,15,10,8,1,0,0,4,16,7,11,16,8,0,0,8,16,2,7,16,5,0,0,0,14,16,16,9,0,0,0,0,6,16,16,3,0,0,0,0,9,14,15,14,2,0,0,0,15,12,11,16,4,0,0,0,7,15,14,7,0,0,8
0,0,1,11,10,0,0,0,0,0,11,16,13,3,0,0,0,2,16,14,14,16,10,0,0,2,13,16,16,16,8,0,0,0,0,2,0,16,7,0,0,0,0,0,2,16,3,0,0,0,0,4,15,12,0,0,0,0,0,13,8,0,0,0,9
0,0,11,8,0,0,0,0,0,0,11,12,0,0,0,0,0,0,14,8,0,0,0,0,0,4,16,10,5,1,0,0,0,3,16,16,16,13,2,0,0,0,16,10,10,16,8,0,0,0,16,11,12,16,6,0,0,0,8,16,16,9,0,0,6
0,1,8,14,13,2,0,0,0,8,15,12,16,10,0,0,0,3,3,3,16,4,0,0,0,0,0,4,14,0,0,0,0,0,0,3,16,5,0,0,0,0,0,0,8,16,5,0,0,0,2,7,9,16,6,0,0,0,7,15,11,5,0,0,3
0,1,3,15,14,4,0,0,0,6,13,16,14,14,0,0,0,10,6,9,2,14,3,0,0,8,4,0,0,7,8,0,0,7,6,0,0,8,8,0,0,1,13,1,0,13,5,0,0,0,10,11,9,15,1,0,0,0,2,12,16,6,0,0,0
0,0,0,7,15,0,0,0,0,0,0,14,13,0,0,0,0,0,5,16,3,0,0,0,0,1,13,13,0,6,11,0,0,8,16,9,2,15,10,0,1,14,16,16,16,16,6,0,0,4,8,9,16,14,0,0,0,0,0,7,16,10,0,0,4
0,0,4,15,10,7,0,0,0,0,8,16,16,16,1,0,0,0,8,16,16,16,0,0,0,0,3,16,16,10,1,0,0,0,10,16,16,4,0,0,0,3,16,14,15,11,0,0,0,3,15,11,13,15,0,0,0,0,5,13,16,8,0,0,8
0,0,4,12,12,1,0,0,0,1,15,16,16,8,0,0,0,6,16,16,16,16,1,0,0,1,4,5,7,16,4,0,0,0,0,0,1,16,8,0,0,0,0,0,2,16,7,0,0,0,10,8,13,14,1,0,0,0,7,16,9,1,0,0,9
0,0,5,12,15,10,1,0,0,6,16,16,16,15,2,0,0,4,14,16,16,5,0,0,0,0,5,16,8,0,0,0,0,0,3,16,16,10,1,0,0,0,0,3,16,16,7,0,0,0,4,14,16,12,0,0,0,0,4,14,8,0,0,0,3
0,0,10,10,7,0,0,0,0,0,13,16,16,12,1,0,0,3,16,14,6,15,7,0,0,6,12,2,0,8,8,0,0,4,8,0,1,14,7,0,0,4,10,0,8,15,1,0,0,2,16,14,15,4,0,0,0,0,10,16,9,0,0,0,0
0,0,6,9,0,0,0,0,0,0,5,16,12,0,0,0,0,4,5,3,13,11,0,0,0,6,11,0,1,14,5,0,0,3,13,0,0,8,9,0,0,0,15,1,5,12,12,0,0,0,15,14,16,14,4,0,0,0,5,16,10,2,0,0,0
0,0,3,14,12,0,0,0,0,1,16,16,16,7,0,0,0,6,16,12,16,16,2,0,0,3,16,16,12,16,4,0,0,0,0,0,0,16,6,0,0,0,0,0,2,16,7,0,0,0,1,11,15,15,2,0,0,0,4,13,9,3,0,0,9
0,0,0,3,13,8,0,0,0,0,0,12,16,10,0,0,0,0,0,15,16,11,0,0,0,1,15,16,16,12,0,0,0,7,16,16,16,12,0,0,0,4,13,14,16,13,0,0,0,0,0,8,16,16,2,0,0,0,0,6,14,11,3,0,1
0,0,0,9,8,0,0,0,0,0,2,15,16,8,0,0,0,0,9,16,16,8,0,0,0,0,13,16,16,12,0,0,0,1,13,16,16,12,0,0,0,0,1,16,16,15,0,0,0,0,0,16,16,16,3,0,0,0,0,9,12,12,7,0,1
0,0,6,11,16,8,0,0,0,1,15,15,11,2,0,0,0,8,16,7,0,0,0,0,0,6,16,5,0,0,0,0,0,0,10,16,13,4,0,0,0,0,0,1,14,16,0,0,0,0,2,8,15,10,0,0,0,0,10,14,7,0,0,0,5
0,0,3,13,16,16,2,0,0,0,10,14,13,16,7,0,0,0,0,0,6,16,4,0,0,0,2,11,15,16,12,0,0,0,9,14,16,9,1,0,0,0,0,9,15,0,0,0,0,0,2,15,6,0,0,0,0,0,7,10,0,0,0,0,7
0,0,5,15,2,0,0,0,0,0,16,15,0,0,0,0,0,5,16,6,0,0,0,0,0,8,16,11,11,4,0,0,0,8,16,16,16,16,2,0,0,6,16,8,6,16,5,0,0,2,16,14,16,16,2,0,0,0,9,16,14,7,0,0,6
0,0,0,11,15,6,0,0,0,0,11,16,16,11,0,0,0,2,16,16,16,12,0,0,0,0,12,16,16,9,0,0,0,0,5,16,16,15,1,0,0,0,7,16,3,15,2,0,0,0,1,16,6,16,0,0,0,0,1,11,15,7,0,0,8
0,0,4,14,16,8,0,0,0,3,16,16,16,16,0,0,0,3,9,4,16,16,4,0,0,0,2,16,16,16,14,0,0,0,2,13,16,12,2,0,0,0,0,7,16,4,0,0,0,0,0,13,13,0,0,0,0,0,5,13,3,0,0,0,7
0,0,0,0,13,4,0,0,0,0,0,9,12,1,0,0,0,0,4,14,4,0,0,0,0,1,14,12,4,4,1,0,0,7,16,16,16,16,7,0,0,4,7,2,9,16,3,0,0,0,0,0,12,12,0,0,0,0,0,0,14,5,0,0,4
0,0,9,15,8,2,0,0,0,3,15,15,16,9,0,0,0,0,11,16,16,12,0,0,0,0,0,0,2,14,2,0,0,0,0,0,0,15,8,0,0,0,0,0,0,9,12,0,0,0,14,5,7,13,14,0,0,0,10,16,15,12,1,0,9
0,0,11,3,8,7,0,0,0,1,15,11,16,16,7,0,0,0,16,4,5,13,10,0,0,3,13,0,0,8,9,0,0,5,13,0,0,8,8,0,0,6,13,0,7,16,2,0,0,2,16,12,16,10,0,0,0,0,9,13,8,0,0,0,0
0,0,0,1,11,7,0,0,0,0,0,13,16,15,2,0,0,0,4,16,16,16,4,0,0,2,16,16,16,16,0,0,0,1,8,9,16,16,1,0,0,0,0,10,16,16,1,0,0,0,0,9,16,16,0,0,0,0,0,2,11,7,0,0,1
0,0,0,1,13,9,0,0,0,0,0,8,16,2,0,0,0,0,7,16,4,0,0,0,0,4,16,7,3,11,4,0,0,12,16,13,16,16,5,0,0,11,12,12,16,15,0,0,0,0,0,0,15,13,0,0,0,0,0,1,16,5,0,0,4
0,0,0,1,13,7,0,0,0,0,0,12,14,0,0,0,0,0,8,15,3,0,2,0,0,6,16,7,4,10,13,0,0,13,16,16,16,16,10,0,0,1,8,8,9,15,2,0,0,0,0,0,10,10,0,0,0,0,0,0,15,7,0,0,4
0,0,4,15,6,0,0,0,0,3,16,16,16,5,0,0,0,7,11,4,8,14,1,0,0,7,10,0,0,14,6,0,0,7,10,0,0,11,9,0,0,2,14,0,0,9,10,0,0,0,12,10,9,15,6,0,0,0,2,13,16,7,0,0,0
0,0,8,13,1,0,0,0,0,0,12,16,0,0,0,0,0,0,15,11,0,0,0,0,0,0,15,13,6,3,0,0,0,0,15,16,16,16,5,0,0,0,15,16,14,16,12,0,0,0,13,16,15,16,7,0,0,0,5,15,13,7,0,0,6
0,1,10,12,16,12,3,0,0,0,12,16,10,11,3,0,0,0,7,14,0,0,0,0,0,0,7,16,7,1,0,0,0,0,1,12,15,12,0,0,0,2,11,13,3,16,2,0,0,8,15,6,15,11,0,0,0,3,13,14,9,1,0,0,5
0,2,15,12,12,12,7,0,0,0,12,16,14,14,9,0,0,0,10,10,0,0,0,0,0,0,8,13,3,0,0,0,0,0,0,7,15,4,0,0,0,0,0,0,10,11,0,0,0,2,7,9,14,3,0,0,0,4,15,11,1,0,0,0,5
0,0,3,13,16,15,2,0,0,0,10,12,10,16,10,3,0,0,0,0,8,16,15,4,0,0,0,8,16,15,1,0,0,0,0,2,10,10,0,0,0,0,0,4,15,1,0,0,0,0,0,11,9,0,0,0,0,0,4,15,0,0,0,0,7
0,0,11,16,14,9,1,0,0,0,15,13,13,16,4,0,0,0,0,0,4,16,5,0,0,0,0,0,10,15,2,0,0,0,0,8,16,6,0,0,0,0,8,16,8,0,0,0,0,6,16,16,16,10,0,0,0,1,8,8,12,13,0,0,2
0,4,16,13,0,0,0,0,0,10,16,16,2,0,0,0,0,8,7,16,4,0,0,0,0,0,5,16,2,0,0,0,0,0,10,14,0,0,0,0,0,1,15,10,0,0,0,0,0,8,16,16,16,16,6,0,0,3,13,16,16,15,5,0,2
0,0,8,0,8,7,0,0,0,0,16,4,13,16,2,0,0,2,14,2,7,16,6,0,0,7,12,0,0,13,7,0,0,5,13,0,0,12,8,0,0,5,16,8,4,15,7,0,0,3,16,16,16,16,1,0,0,0,7,14,10,3,0,0,0
0,4,16,14,1,0,0,0,0,9,16,16,8,0,0,0,0,5,9,12,7,0,0,0,0,0,1,16,3,0,0,0,0,0,6,15,0,0,0,0,0,1,15,10,0,0,0,0,0,6,16,14,10,6,1,0,0,4,15,16,16,16,13,0,2
0,0,5,16,10,0,0,0,0,0,12,15,15,5,0,0,0,0,10,3,11,9,0,0,0,0,0,0,12,8,0,0,0,0,0,0,15,6,0,0,0,0,2,7,16,2,0,0,0,0,11,16,16,15,10,2,0,0,6,8,4,9,15,3,2
0,0,5,13,3,0,0,0,0,0,12,16,11,0,0,0,0,0,5,13,16,1,0,0,0,0,0,3,16,3,0,0,0,0,0,9,16,1,0,0,0,0,1,16,9,0,0,0,0,0,7,16,13,8,4,0,0,0,5,16,16,16,16,5,2
0,0,4,13,12,3,0,0,0,0,15,16,16,7,0,0,0,0,16,16,16,16,3,0,0,0,11,16,16,5,0,0,0,0,15,10,12,15,1,0,0,2,16,4,1,16,10,0,0,1,15,12,11,16,5,0,0,0,6,15,9,1,0,0,8
0,0,0,6,16,2,0,0,0,0,0,12,13,0,0,0,0,0,8,15,2,0,0,0,0,3,16,8,1,11,7,0,0,14,16,16,16,16,10,0,0,5,12,12,16,16,4,0,0,0,0,3,16,9,0,0,0,0,0,7,16,5,0,0,4
0,0,6,15,16,9,0,0,0,2,15,14,15,16,0,0,0,0,2,0,13,15,0,0,0,0,2,6,14,15,2,0,0,0,12,16,16,16,10,0,0,0,2,11,16,2,0,0,0,0,2,15,9,0,0,0,0,0,8,13,1,0,0,0,7
0,0,8,13,16,11,1,0,0,0,16,8,8,12,2,0,0,4,15,0,0,0,0,0,0,4,12,0,0,0,0,0,0,2,15,14,9,1,0,0,0,0,2,7,12,11,1,0,0,2,10,5,7,16,2,0,0,0,10,16,14,5,0,0,5
0,0,6,14,16,10,0,0,0,3,15,14,16,16,1,0,0,0,3,0,10,16,4,0,0,0,0,5,12,16,8,0,0,0,0,13,16,15,6,0,0,0,0,5,16,10,0,0,0,0,0,11,15,0,0,0,0,0,8,15,2,0,0,0,7
0,0,1,11,14,10,4,0,0,0,8,16,16,16,12,0,0,1,15,14,14,16,12,0,0,7,16,16,16,16,8,0,0,0,4,3,8,16,1,0,0,0,0,0,16,12,0,0,0,0,0,6,16,9,0,0,0,0,2,16,7,0,0,0,9
0,0,1,10,14,7,1,0,0,4,16,12,11,16,4,0,0,6,6,0,5,15,1,0,0,0,0,3,16,6,0,0,0,0,0,6,16,11,0,0,0,0,0,0,10,16,4,0,0,0,0,7,10,16,4,0,0,0,0,7,13,5,0,0,3
0,0,11,15,8,0,0,0,0,4,16,9,15,5,0,0,0,6,15,1,15,13,0,0,0,1,15,15,16,16,4,0,0,0,1,7,5,16,6,0,0,0,0,0,0,16,5,0,0,0,15,9,11,15,3,0,0,1,13,16,14,3,0,0,9
0,0,5,12,16,9,0,0,0,1,16,15,15,13,0,0,0,0,4,1,13,14,2,0,0,0,0,5,16,16,13,0,0,0,0,12,16,11,4,0,0,0,0,8,15,1,0,0,0,0,0,15,12,0,0,0,0,0,4,15,2,0,0,0,7
0,0,5,14,10,0,0,0,0,2,15,14,13,0,0,0,0,6,16,3,9,14,1,0,0,8,16,16,16,16,7,0,0,0,8,5,6,16,8,0,0,0,0,0,8,15,6,0,0,0,3,12,16,7,0,0,0,0,6,16,7,0,0,0,9
0,0,5,10,16,8,0,0,0,1,16,16,16,6,0,0,0,4,16,15,4,0,0,0,0,3,16,10,0,0,0,0,0,0,11,16,6,0,0,0,0,0,1,15,15,2,0,0,0,0,5,13,16,8,0,0,0,0,7,16,13,3,0,0,5
0,0,5,11,14,2,0,0,0,8,16,16,14,4,0,0,0,12,15,8,1,0,0,0,0,2,15,10,0,0,0,0,0,0,2,13,13,3,0,0,0,0,0,1,9,15,4,0,0,0,2,10,15,15,3,0,0,0,3,12,8,3,0,0,5
0,1,10,13,16,9,0,0,0,11,16,14,16,16,2,0,0,7,6,3,16,11,0,0,0,0,0,5,16,9,0,0,0,0,0,3,16,12,0,0,0,0,0,0,9,16,5,0,0,0,3,9,16,15,1,0,0,0,12,15,11,1,0,0,3
0,0,0,8,15,10,0,0,0,0,1,16,16,16,0,0,0,0,6,16,16,15,1,0,0,3,14,16,16,12,0,0,0,8,16,16,16,12,0,0,0,5,7,13,16,13,0,0,0,0,0,8,16,16,4,0,0,0,0,6,15,15,9,0,1
0,0,7,15,8,0,0,0,0,7,16,16,12,0,0,0,0,12,14,11,11,0,0,0,0,8,3,16,7,0,0,0,0,0,5,16,3,0,0,0,0,0,9,14,0,0,0,0,0,0,12,15,12,8,3,0,0,0,6,16,16,16,11,0,2
0,0,7,9,15,6,0,0,0,2,16,16,16,16,3,0,0,7,15,8,1,13,8,0,0,8,10,0,0,8,8,0,0,8,9,0,0,8,8,0,0,7,14,0,3,15,5,0,0,2,16,14,16,13,1,0,0,0,8,13,8,0,0,0,0
0,0,8,12,5,0,0,0,0,3,15,13,15,0,0,0,0,0,0,9,13,0,0,0,0,0,0,13,12,0,0,0,0,0,0,7,16,11,3,0,0,0,0,0,3,14,14,0,0,0,4,7,7,15,12,0,0,0,8,13,12,6,0,0,3
0,0,0,1,14,4,0,0,0,0,0,9,15,2,0,0,0,0,2,16,8,0,0,0,0,0,13,14,0,3,2,0,0,7,16,7,10,16,9,0,1,14,16,16,16,16,6,0,0,7,8,4,15,14,1,0,0,0,0,0,16,10,0,0,4
0,1,9,12,14,6,0,0,0,6,16,10,16,12,0,0,0,1,14,13,12,16,0,0,0,0,0,0,2,16,4,0,0,0,0,0,0,15,9,0,0,0,0,0,0,10,9,0,0,0,0,0,5,14,11,0,0,0,10,16,16,7,0,0,9
0,0,0,11,9,0,0,0,0,0,3,16,3,0,0,0,0,0,10,14,0,1,2,0,0,3,16,5,0,13,9,0,0,10,16,8,10,16,8,0,3,16,16,16,16,15,4,0,0,4,3,7,16,3,0,0,0,0,0,11,11,0,0,0,4
0,0,0,6,14,3,0,0,0,0,2,14,16,12,0,0,0,0,4,16,16,16,0,0,0,1,11,16,16,12,0,0,0,6,16,16,16,12,0,0,0,0,8,16,16,9,0,0,0,0,4,16,16,10,1,0,0,0,0,9,14,11,2,0,1
0,0,1,11,14,13,0,0,0,1,13,16,9,5,0,0,0,2,16,9,1,8,6,0,0,0,13,16,15,16,6,0,0,0,1,13,16,13,0,0,0,0,1,16,16,16,2,0,0,0,5,16,16,14,1,0,0,0,2,14,11,1,0,0,8
0,0,1,11,5,0,0,0,0,0,8,16,1,0,0,0,0,2,15,10,0,0,0,0,0,6,16,5,3,0,0,0,0,8,16,16,16,14,0,0,0,3,16,9,1,16,10,0,0,0,11,16,12,16,6,0,0,0,0,10,14,11,1,0,6
0,0,3,12,16,10,0,0,0,0,16,10,5,16,1,0,0,4,16,11,10,14,0,0,0,0,14,16,16,13,1,0,0,0,2,8,8,16,7,0,0,0,0,0,1,16,3,0,0,0,0,10,16,7,0,0,0,0,2,10,3,0,0,0,9
0,0,1,14,6,2,6,0,0,0,10,13,1,10,10,0,0,4,16,3,3,16,5,0,0,10,16,12,14,16,9,0,0,3,16,16,16,10,2,0,0,0,0,5,15,1,0,0,0,0,0,11,10,0,0,0,0,0,0,13,8,0,0,0,4
0,0,0,14,4,1,1,0,0,0,4,16,1,12,7,0,0,1,15,8,5,16,3,0,0,9,14,0,10,11,0,0,0,11,16,14,16,14,4,0,0,6,8,14,16,14,5,0,0,0,0,11,9,0,0,0,0,0,0,13,4,0,0,0,4
0,0,0,0,8,16,2,0,0,0,0,6,16,16,3,0,0,0,1,15,16,16,0,0,0,0,13,16,16,12,0,0,0,4,16,7,16,12,0,0,0,5,4,3,16,9,0,0,0,0,0,2,16,8,0,0,0,0,0,0,12,14,0,0,1
0,0,0,4,14,5,9,0,0,0,4,16,6,11,13,0,0,2,14,9,2,16,4,0,0,7,16,16,16,15,0,0,0,3,16,16,16,13,2,0,0,0,2,9,16,1,0,0,0,0,0,6,16,2,0,0,0,0,0,6,16,5,0,0,4
0,0,9,12,13,15,16,3,0,1,14,13,12,16,14,1,0,0,0,0,6,15,3,0,0,0,5,13,16,16,10,0,0,1,16,16,15,12,3,0,0,0,5,16,7,0,0,0,0,0,7,16,0,0,0,0,0,0,11,14,0,0,0,0,7
0,0,6,13,16,14,1,0,0,5,15,4,1,12,4,0,0,1,16,10,15,10,2,0,0,0,10,13,3,0,0,0,0,0,9,15,1,0,0,0,0,0,13,11,10,0,0,0,0,0,15,3,13,6,0,0,0,0,5,12,14,9,0,0,8
0,0,7,12,15,13,3,0,0,2,16,6,2,11,7,0,0,7,14,9,13,11,1,0,0,2,16,12,6,7,2,0,0,2,16,15,8,2,0,0,0,2,16,14,2,0,0,0,0,0,14,16,8,0,0,0,0,0,4,12,11,0,0,0,8
0,0,0,0,10,12,1,0,0,0,0,1,15,16,3,0,0,0,2,10,16,11,0,0,0,1,11,16,16,12,0,0,0,5,8,3,16,9,0,0,0,0,0,1,16,10,0,0,0,0,0,0,15,11,0,0,0,0,0,0,7,13,1,0,1
0,0,0,8,11,3,7,0,0,0,6,15,4,10,9,0,0,3,15,6,1,16,5,0,0,7,16,12,14,16,14,0,0,5,16,16,16,14,7,0,0,0,4,7,16,5,0,0,0,0,0,9,15,0,0,0,0,0,0,7,16,0,0,0,4
0,0,0,0,2,15,3,0,0,0,0,0,12,16,4,0,0,0,0,6,16,16,0,0,0,0,7,16,16,14,0,0,0,6,16,11,16,12,0,0,0,1,3,0,15,13,0,0,0,0,0,0,10,16,0,0,0,0,0,0,2,14,5,0,1
0,0,0,7,12,2,0,0,0,1,10,16,15,6,0,0,0,0,15,13,1,0,0,0,0,2,16,8,0,0,0,0,0,2,16,11,12,9,0,0,0,2,16,14,10,14,10,0,0,0,11,15,8,11,16,1,0,0,1,9,16,16,13,1,6
0,0,4,14,15,6,0,0,0,2,16,12,15,14,0,0,0,7,9,0,0,12,4,0,0,8,6,0,0,6,7,0,0,5,8,0,0,4,8,0,0,2,14,1,0,7,7,0,0,0,12,16,16,16,2,0,0,0,2,11,15,8,0,0,0
0,0,0,9,16,7,0,0,0,0,7,16,8,0,0,0,0,0,14,10,0,0,0,0,0,1,16,4,0,0,0,0,0,2,16,8,8,2,0,0,0,1,14,14,9,15,7,0,0,0,9,14,4,8,14,0,0,0,0,9,15,15,7,0,6
0,0,0,0,3,13,3,0,0,0,0,0,11,16,4,0,0,0,0,11,16,16,2,0,0,0,9,16,16,16,0,0,0,3,16,5,13,16,0,0,0,3,2,0,12,15,1,0,0,0,0,0,8,16,0,0,0,0,0,0,2,14,3,0,1
0,0,5,15,13,2,0,0,0,3,16,16,16,16,0,0,0,8,7,1,3,14,7,0,0,3,1,0,0,5,8,0,0,5,10,0,0,5,8,0,0,3,16,12,8,14,8,0,0,0,13,16,16,16,5,0,0,0,3,14,16,10,0,0,0
0,0,3,13,0,0,0,0,0,0,11,14,0,0,0,0,0,2,16,3,0,0,0,0,0,7,14,0,0,0,0,0,0,8,13,8,12,7,1,0,0,6,16,10,10,16,6,0,0,0,13,14,12,15,8,0,0,0,3,13,16,12,3,0,6
0,0,3,15,16,16,9,0,0,0,1,9,14,16,5,0,0,0,0,1,11,15,0,0,0,0,5,16,16,16,14,0,0,0,1,12,14,5,2,0,0,0,1,15,8,0,0,0,0,0,5,16,2,0,0,0,0,0,7,15,2,0,0,0,7
0,0,0,0,9,10,0,0,0,0,0,5,16,15,0,0,0,0,3,14,16,12,0,0,0,3,15,16,16,10,0,0,0,4,4,8,16,8,0,0,0,0,0,3,16,9,0,0,0,0,0,3,15,10,0,0,0,0,0,0,7,14,2,0,1
0,0,4,15,8,0,0,0,0,1,14,12,16,1,0,0,0,2,10,1,16,0,0,0,0,0,3,11,8,0,0,0,0,0,0,10,15,6,0,0,0,0,0,2,12,15,2,0,0,0,1,10,8,15,3,0,0,0,2,15,16,11,0,0,3
0,0,0,4,13,15,0,0,0,0,6,16,9,1,0,0,0,0,15,9,0,0,0,0,0,3,15,0,0,0,0,0,0,8,12,0,0,0,0,0,0,4,15,12,12,7,1,0,0,0,9,15,9,13,11,0,0,0,0,6,12,16,10,0,6
0,0,0,12,15,4,0,0,0,0,7,9,8,15,0,0,0,2,12,0,0,9,4,0,0,5,11,0,0,4,8,0,0,8,4,0,0,8,6,0,0,2,12,0,1,14,5,0,0,0,13,15,16,12,1,0,0,0,2,10,12,1,0,0,0
0,0,0,9,14,13,4,0,0,0,6,14,6,10,12,0,0,0,9,12,6,15,7,0,0,1,11,16,15,5,0,0,0,7,16,16,10,0,0,0,0,7,16,9,16,9,0,0,0,1,11,8,7,16,0,0,0,0,2,11,12,13,0,0,8
0,0,8,15,16,16,12,0,0,0,4,12,13,16,8,0,0,0,0,0,10,14,0,0,0,1,9,12,16,13,4,0,0,5,16,16,16,14,5,0,0,0,2,16,5,0,0,0,0,0,10,14,0,0,0,0,0,0,11,11,0,0,0,0,7
0,0,2,11,16,9,0,0,0,0,9,14,15,14,0,0,0,0,0,0,13,10,0,0,0,0,4,9,16,12,5,0,0,9,16,16,16,16,11,0,0,3,8,12,11,0,0,0,0,0,0,16,5,0,0,0,0,0,2,16,2,0,0,0,7
0,0,1,10,16,16,7,0,0,0,13,14,10,7,3,0,0,6,16,2,0,0,0,0,0,10,16,16,16,8,1,0,0,1,6,11,13,16,9,0,0,0,0,0,4,16,8,0,0,0,0,1,9,16,5,0,0,0,2,15,16,8,0,0,5
0,0,0,6,15,16,6,0,0,0,3,16,5,9,12,0,0,0,4,15,7,13,4,0,0,0,14,16,16,10,0,0,0,5,16,13,11,0,0,0,0,5,15,1,16,3,0,0,0,0,10,13,15,6,0,0,0,0,0,5,13,5,0,0,8
0,0,1,11,15,2,0,0,0,6,6,16,16,9,0,0,0,8,14,13,3,13,4,0,0,7,16,1,0,6,6,0,0,3,12,0,0,6,9,0,0,0,14,5,2,13,12,0,0,0,3,16,16,16,8,0,0,0,0,9,16,13,2,0,0
0,0,4,12,13,11,0,0,0,3,15,3,7,16,1,0,0,4,12,9,15,4,0,0,0,0,11,15,1,0,0,0,0,1,13,16,12,0,0,0,0,3,14,1,14,3,0,0,0,0,12,3,4,12,0,0,0,0,3,12,12,13,0,0,8
0,0,10,15,2,0,0,0,0,5,16,16,8,0,0,0,0,9,13,8,12,0,0,0,0,12,7,4,14,0,0,0,0,3,1,7,12,0,0,0,0,0,0,15,13,1,0,0,0,0,9,16,16,16,6,0,0,0,10,16,16,16,10,0,2
0,0,2,11,16,16,11,0,0,0,13,11,4,13,13,0,0,0,12,14,15,14,2,0,0,0,12,16,15,5,0,0,0,0,8,16,11,0,0,0,0,2,16,9,16,4,0,0,0,4,16,6,14,10,0,0,0,0,3,12,15,6,0,0,8
0,0,0,8,13,1,0,0,0,0,6,16,11,1,0,0,0,0,12,12,0,0,0,0,0,2,16,6,0,0,0,0,0,0,15,10,9,6,2,0,0,2,15,12,10,16,11,0,0,0,8,15,10,14,14,0,0,0,0,9,13,12,7,0,6
0,2,15,14,3,0,0,0,0,7,15,14,13,0,0,0,0,9,11,2,16,4,0,0,0,7,4,0,14,6,0,0,0,0,0,0,14,7,0,0,0,0,0,3,16,3,0,0,0,0,4,15,16,8,4,0,0,1,16,16,16,16,16,5,2
0,0,0,8,13,10,5,0,0,0,8,16,11,14,15,0,0,0,9,16,16,14,11,0,0,0,3,10,16,16,7,0,0,0,0,0,2,16,4,0,0,0,0,0,4,16,2,0,0,0,0,1,11,11,0,0,0,0,0,14,15,2,0,0,9
0,0,3,12,13,9,0,0,0,0,12,8,2,12,2,0,0,0,11,8,12,11,0,0,0,0,7,16,5,0,0,0,0,3,12,6,11,0,0,0,0,4,8,0,7,9,0,0,0,1,12,2,0,13,4,0,0,0,2,12,11,12,6,0,8
0,0,9,15,16,15,8,0,0,5,16,16,13,12,13,1,0,6,16,5,1,0,0,0,0,11,16,16,10,0,0,0,0,8,15,11,16,0,0,0,0,0,0,10,12,0,0,0,0,0,2,15,7,0,0,0,0,0,9,13,0,0,0,0,5
0,0,7,11,15,13,0,0,0,1,14,12,16,9,0,0,0,0,0,3,16,6,0,0,0,0,2,11,16,8,1,0,0,1,15,16,16,16,10,0,0,0,10,16,9,4,1,0,0,0,8,13,0,0,0,0,0,0,11,9,0,0,0,0,7
0,0,0,4,13,10,0,0,0,0,0,12,10,14,4,0,0,0,0,14,4,15,4,0,0,1,9,15,14,8,0,0,0,5,14,10,8,0,0,0,0,4,8,2,12,0,0,0,0,0,9,8,12,4,0,0,0,0,1,7,13,2,0,0,8
0,0,2,14,1,0,0,0,0,0,9,11,0,0,0,0,0,0,16,4,0,0,0,0,0,4,16,0,0,0,0,0,0,3,13,2,8,8,3,0,0,0,16,14,8,12,12,0,0,1,10,12,4,10,13,0,0,0,2,11,14,14,4,0,6
0,0,0,2,10,16,2,0,0,0,0,10,13,16,6,0,0,0,0,0,5,16,7,0,0,1,7,8,10,16,3,0,0,5,16,13,16,13,3,0,0,0,0,2,16,9,0,0,0,0,0,4,16,5,0,0,0,0,0,0,11,8,0,0,7
0,0,6,12,16,16,11,0,0,0,5,15,13,4,0,0,0,0,1,14,0,0,0,0,0,0,7,16,14,4,0,0,0,0,1,6,12,15,0,0,0,0,0,0,0,16,2,0,0,0,3,0,3,13,0,0,0,0,10,16,14,4,0,0,5
0,1,13,16,1,0,0,0,0,7,16,16,3,0,0,0,0,12,9,16,4,0,0,0,0,5,3,15,4,0,0,0,0,0,6,15,1,0,0,0,0,0,14,10,0,0,0,0,0,4,16,13,11,9,3,0,0,1,15,16,16,15,5,0,2
0,0,0,10,10,1,0,0,0,0,5,16,5,11,7,0,0,2,16,7,3,16,4,0,0,7,16,2,9,15,2,0,0,7,16,12,16,15,7,0,0,1,10,14,16,10,1,0,0,0,0,11,15,1,0,0,0,0,0,12,13,0,0,0,4
0,0,0,3,10,13,12,4,0,0,3,16,6,5,14,9,0,0,12,16,13,12,14,4,0,0,11,16,16,16,12,0,0,0,0,0,2,15,2,0,0,0,0,0,10,6,0,0,0,0,0,1,16,4,0,0,0,0,0,1,15,1,0,0,9
0,0,7,15,16,11,0,0,0,0,9,11,13,12,0,0,0,0,0,0,12,8,0,0,0,0,5,8,16,7,0,0,0,10,16,16,16,16,7,0,0,5,6,16,11,4,1,0,0,0,4,16,2,0,0,0,0,0,8,14,1,0,0,0,7
0,0,7,14,0,0,0,0,0,0,9,16,2,0,0,0,0,1,14,16,4,0,0,0,0,8,16,16,9,0,0,0,0,12,13,9,16,0,0,0,0,1,2,3,16,5,0,0,0,0,4,10,16,13,7,1,0,0,7,16,16,16,16,3,1
0,2,14,4,0,0,0,0,0,6,16,10,0,0,0,0,0,8,8,14,0,0,0,0,0,2,3,15,0,0,0,0,0,0,4,12,0,0,0,0,0,1,13,8,0,0,0,0,0,6,16,16,16,12,4,0,0,3,15,16,14,7,2,0,2
0,0,4,13,16,16,5,0,0,0,13,16,12,7,0,0,0,0,8,15,0,0,0,0,0,0,10,16,16,15,2,0,0,0,6,13,15,16,7,0,0,0,0,0,1,15,6,0,0,0,0,7,9,16,2,0,0,0,5,16,15,7,0,0,5
0,0,1,12,2,0,0,0,0,0,10,8,0,9,9,0,0,1,16,1,0,15,5,0,0,3,16,5,7,16,2,0,0,2,16,16,16,16,7,0,0,0,6,10,16,1,0,0,0,0,0,9,7,0,0,0,0,0,0,14,1,0,0,0,4
0,1,9,14,16,16,13,0,0,8,16,12,7,4,2,0,0,10,15,4,2,0,0,0,0,8,16,16,15,3,0,0,0,0,3,6,15,13,0,0,0,0,0,0,5,16,2,0,0,0,2,4,8,16,4,0,0,0,13,16,16,10,0,0,5
0,0,12,9,0,0,0,0,0,4,15,15,5,0,0,0,0,7,10,3,11,0,0,0,0,10,6,0,12,2,0,0,0,5,3,0,12,5,0,0,0,0,1,3,16,4,0,0,0,0,14,16,16,16,14,0,0,0,12,13,10,8,4,0,2
0,0,1,10,7,0,0,0,0,0,9,15,2,0,0,0,0,0,13,7,0,0,0,0,0,0,16,1,0,0,0,0,0,5,16,16,16,10,0,0,0,2,14,8,5,13,7,0,0,0,4,15,9,12,10,0,0,0,1,9,15,13,3,0,6
0,1,13,16,7,0,0,0,0,8,15,15,9,0,0,0,0,12,8,8,12,0,0,0,0,10,7,8,12,0,0,0,0,1,0,11,10,0,0,0,0,0,3,16,5,0,0,0,0,0,13,15,6,6,1,0,0,1,16,16,16,16,8,0,2
0,0,0,4,10,13,12,0,0,0,9,16,13,10,16,0,0,2,15,16,16,16,10,0,0,0,0,0,0,14,6,0,0,0,0,0,5,15,1,0,0,0,0,0,11,9,0,0,0,0,0,0,15,3,0,0,0,0,0,2,11,0,0,0,9
0,0,6,15,10,0,0,0,0,0,15,16,9,0,0,0,0,5,16,16,3,0,0,0,0,8,16,16,16,9,0,0,0,0,4,8,13,16,4,0,0,0,0,2,4,16,6,0,0,0,10,15,14,14,1,0,0,0,8,16,14,2,0,0,3
0,0,2,16,16,11,0,0,0,0,13,15,15,16,5,0,0,4,14,3,3,14,9,0,0,8,15,0,0,6,8,0,0,4,12,0,0,6,8,0,0,1,16,11,10,16,7,0,0,0,14,16,16,11,1,0,0,0,2,12,11,2,0,0,0
0,0,6,16,15,3,0,0,0,0,16,13,8,1,0,0,0,0,12,7,4,0,0,0,0,0,14,16,16,13,2,0,0,0,3,4,4,13,8,0,0,0,0,0,0,9,4,0,0,0,2,8,13,15,3,0,0,0,4,14,12,5,0,0,5
0,0,0,1,12,14,0,0,0,0,0,5,16,12,0,0,0,0,1,14,16,12,0,0,0,3,15,16,16,8,0,0,0,9,15,7,16,8,0,0,0,1,2,6,16,5,0,0,0,0,0,2,16,10,0,0,0,0,0,0,11,16,4,0,1
0,0,4,13,16,16,9,0,0,1,15,14,13,16,7,0,0,0,6,0,10,15,2,0,0,0,0,5,16,7,0,0,0,0,0,4,15,15,1,0,0,0,0,1,8,16,5,0,0,0,4,15,13,16,2,0,0,0,3,15,15,5,0,0,3
0,0,3,12,14,16,2,0,0,0,8,12,15,16,1,0,0,0,0,1,16,8,0,0,0,2,8,13,16,8,3,0,0,9,16,16,16,16,10,0,0,1,9,16,5,4,1,0,0,0,8,16,1,0,0,0,0,0,4,16,3,0,0,0,7
0,0,13,13,2,0,0,0,0,2,16,15,11,0,0,0,0,2,16,9,16,1,0,0,0,2,16,8,16,0,0,0,0,0,8,9,15,0,0,0,0,0,2,15,13,4,0,0,0,0,12,16,16,16,11,3,0,0,13,11,0,6,9,3,2
0,0,0,9,10,0,0,0,0,0,6,16,7,0,0,0,0,0,15,7,0,0,0,0,0,3,16,2,0,0,0,0,0,5,16,16,16,7,0,0,0,2,16,12,10,16,4,0,0,0,8,15,9,14,7,0,0,0,0,7,14,16,3,0,6
0,0,5,9,13,13,0,0,0,0,11,16,9,4,0,0,0,0,7,12,0,0,0,0,0,0,10,15,12,12,2,0,0,0,3,12,8,14,7,0,0,0,0,0,0,13,4,0,0,0,1,9,14,12,1,0,0,0,3,16,10,1,0,0,5
0,0,9,16,16,16,12,0,0,0,8,12,10,14,10,0,0,0,2,5,4,15,1,0,0,0,9,16,16,16,13,0,0,0,2,14,15,7,1,0,0,0,0,14,7,0,0,0,0,0,6,14,0,0,0,0,0,0,10,9,0,0,0,0,7
0,0,16,13,16,16,10,0,0,0,11,7,4,2,2,0,0,0,11,1,0,0,0,0,0,5,15,6,1,0,0,0,0,2,8,10,15,4,0,0,0,0,0,0,4,11,0,0,0,2,9,0,8,8,0,0,0,0,11,16,13,1,0,0,5
0,0,3,14,10,1,0,0,0,0,12,9,9,12,0,0,0,2,16,5,0,8,6,0,0,4,8,1,0,3,7,0,0,5,7,0,0,4,8,0,0,2,12,0,0,7,5,0,0,0,12,7,5,13,2,0,0,0,3,14,15,6,0,0,0
0,0,8,16,15,4,0,0,0,2,16,5,7,8,0,0,0,0,6,0,5,8,0,0,0,0,0,0,12,5,0,0,0,0,0,9,14,0,0,0,0,1,11,15,4,0,0,0,0,3,16,13,4,0,0,0,0,0,8,13,16,15,5,0,2
0,0,6,10,16,12,0,0,0,1,16,13,11,12,0,0,0,1,4,0,10,8,1,0,0,0,5,8,15,16,13,0,0,1,16,16,14,8,1,0,0,0,4,16,4,0,0,0,0,0,5,13,1,0,0,0,0,0,9,10,0,0,0,0,7
0,1,11,13,12,4,0,0,0,1,8,8,12,11,0,0,0,0,0,1,11,10,0,0,0,0,7,12,13,1,0,0,0,7,16,16,8,0,0,0,0,0,4,9,14,12,2,0,0,1,10,7,5,16,7,0,0,2,15,16,15,9,1,0,3
0,0,0,0,11,16,3,0,0,0,1,11,16,16,8,0,0,3,13,16,16,16,5,0,0,10,16,11,9,16,6,0,0,1,4,0,11,16,4,0,0,0,0,0,12,16,2,0,0,0,0,0,13,15,1,0,0,0,0,0,8,16,5,0,1
0,0,1,11,12,4,0,0,0,1,13,11,6,15,0,0,0,7,13,0,3,15,0,0,0,1,12,13,15,6,0,0,0,0,4,15,13,11,0,0,0,2,15,4,1,14,6,0,0,3,14,3,0,12,7,0,0,0,4,13,16,15,1,0,8
0,0,4,14,8,0,0,0,0,0,15,13,15,8,0,0,0,3,14,0,1,14,5,0,0,4,12,0,0,9,8,0,0,4,12,0,0,8,8,0,0,4,13,0,0,14,6,0,0,0,15,10,10,13,1,0,0,0,5,15,12,3,0,0,0
0,0,10,13,16,16,12,0,0,0,6,12,8,13,11,0,0,0,0,0,2,16,5,0,0,0,6,8,14,16,13,0,0,0,15,16,15,9,1,0,0,0,0,13,6,0,0,0,0,0,6,14,1,0,0,0,0,0,14,9,0,0,0,0,7
0,6,16,16,13,1,0,0,0,13,11,8,15,9,0,0,0,5,1,0,10,14,0,0,0,0,0,0,12,11,0,0,0,0,0,3,16,2,0,0,0,0,0,13,13,0,0,0,0,3,14,16,12,8,7,0,0,5,16,16,16,16,10,0,2
0,0,0,9,14,4,0,0,0,0,10,14,4,1,0,0,0,0,14,4,0,0,0,0,0,6,16,16,10,3,0,0,0,3,16,2,5,14,4,0,0,0,14,2,0,12,10,0,0,0,7,12,0,13,9,0,0,0,0,8,16,14,2,0,6
0,0,0,1,12,14,0,0,0,0,0,6,16,4,0,0,0,0,3,16,4,9,3,0,0,2,13,15,6,16,6,0,0,11,16,16,16,16,9,0,0,3,4,4,10,16,1,0,0,0,0,0,11,13,0,0,0,0,0,0,12,10,0,0,4
0,0,7,16,16,16,3,0,0,0,8,15,12,16,3,0,0,0,13,12,0,0,0,0,0,1,13,16,14,5,0,0,0,0,1,4,13,13,0,0,0,1,5,0,4,16,3,0,0,4,15,8,11,15,0,0,0,0,7,16,16,8,0,0,5
0,0,0,4,13,5,0,0,0,0,2,14,12,5,0,0,0,0,7,12,1,0,0,0,0,0,11,7,0,0,0,0,0,0,12,14,12,8,0,0,0,1,14,14,8,12,8,0,0,0,2,14,5,9,14,0,0,0,0,3,15,15,6,0,6
0,3,13,16,16,12,1,0,0,1,8,4,5,15,6,0,0,0,0,1,9,15,2,0,0,0,6,16,15,5,0,0,0,0,5,14,16,8,0,0,0,0,0,0,8,16,2,0,0,6,12,6,12,15,1,0,0,4,13,12,11,2,0,0,3
0,0,6,14,16,9,0,0,0,5,15,5,8,16,1,0,0,4,14,1,3,16,6,0,0,0,7,16,15,14,8,0,0,0,0,0,0,8,8,0,0,0,0,0,0,8,9,0,0,0,12,3,0,11,9,0,0,0,8,14,16,13,1,0,9
0,0,0,4,16,11,0,0,0,0,0,13,16,10,0,0,0,0,12,16,16,7,0,0,0,5,14,13,16,5,0,0,0,0,0,8,16,4,0,0,0,0,0,4,16,7,0,0,0,0,0,4,16,8,0,0,0,0,0,3,14,8,0,0,1
0,0,1,10,16,9,0,0,0,0,10,13,5,3,0,0,0,1,16,3,0,0,0,0,0,4,13,0,0,0,0,0,0,3,15,15,13,5,0,0,0,1,16,11,4,15,4,0,0,0,8,14,5,14,2,0,0,0,0,8,16,12,1,0,6
0,0,4,16,16,16,16,12,0,0,2,8,8,11,16,4,0,0,0,0,1,15,8,0,0,0,2,4,10,16,11,0,0,11,16,16,16,6,0,0,0,9,9,13,11,0,0,0,0,0,2,15,2,0,0,0,0,0,8,12,0,0,0,0,7
0,1,13,16,16,3,0,0,0,0,2,2,10,14,0,0,0,0,0,0,5,14,0,0,0,0,0,11,16,3,0,0,0,0,0,11,15,8,1,0,0,0,0,0,9,16,4,0,0,0,3,4,7,15,1,0,0,0,15,16,12,5,0,0,3
0,0,10,15,13,8,0,0,0,1,12,4,11,10,0,0,0,0,0,8,13,3,0,0,0,3,13,16,5,0,0,0,0,1,8,13,16,13,2,0,0,0,0,0,1,13,6,0,0,5,10,8,8,16,2,0,0,0,10,16,16,6,0,0,3
0,0,2,13,16,7,0,0,0,0,7,15,12,16,2,0,0,0,4,16,11,16,8,0,0,0,0,8,16,13,10,0,0,5,4,0,0,7,13,0,0,4,13,0,0,9,11,0,0,1,12,10,4,13,10,0,0,0,2,12,16,16,4,0,9
0,0,0,5,16,1,0,0,0,0,1,13,8,2,7,0,0,0,9,12,0,10,10,0,0,7,16,4,4,16,11,0,0,11,16,16,16,16,7,0,0,2,8,7,14,8,0,0,0,0,0,2,16,2,0,0,0,0,0,6,12,0,0,0,4
0,0,6,10,10,15,3,0,0,4,13,6,9,8,8,0,0,3,11,0,7,13,1,0,0,0,14,14,9,0,0,0,0,1,14,13,3,0,0,0,0,3,8,1,14,1,0,0,0,0,13,0,6,9,0,0,0,0,5,15,15,5,0,0,8
0,0,0,6,15,10,1,0,0,0,0,12,16,14,2,0,0,1,12,16,16,7,0,0,0,7,16,16,16,7,0,0,0,1,4,10,16,4,0,0,0,0,0,5,16,7,0,0,0,0,0,8,16,11,0,0,0,0,0,6,16,12,0,0,1
0,2,13,16,16,16,2,0,0,1,10,8,10,16,0,0,0,0,7,8,12,15,7,0,0,3,16,16,16,12,5,0,0,0,2,11,14,0,0,0,0,0,3,15,3,0,0,0,0,0,10,12,0,0,0,0,0,0,15,4,0,0,0,0,7
0,0,0,6,15,2,2,0,0,0,3,15,10,4,15,0,0,2,14,9,0,12,11,0,0,9,16,4,3,16,14,0,0,11,16,16,16,15,7,0,0,1,10,11,16,8,0,0,0,0,0,3,16,1,0,0,0,0,0,8,11,0,0,0,4
0,2,15,16,10,0,0,0,0,8,16,10,16,2,0,0,0,4,7,0,16,6,0,0,0,0,0,2,16,4,0,0,0,0,0,8,14,0,0,0,0,0,2,16,7,0,0,0,0,2,15,16,9,8,8,0,0,3,16,16,16,16,12,0,2
0,4,15,16,12,0,0,0,0,12,15,7,16,5,0,0,0,3,3,0,15,4,0,0,0,0,0,0,13,7,0,0,0,0,0,5,15,2,0,0,0,0,1,14,11,0,0,0,0,1,13,16,9,8,3,0,0,3,16,16,16,16,16,1,2
0,0,7,15,13,3,0,0,0,0,11,6,8,14,0,0,0,0,0,3,8,12,0,0,0,0,0,16,14,2,0,0,0,0,0,10,15,7,0,0,0,0,0,0,2,11,10,0,0,1,15,3,1,11,10,0,0,0,4,15,16,13,2,0,3
0,0,10,16,12,0,0,0,0,1,14,13,16,4,0,0,0,0,2,3,16,5,0,0,0,0,0,4,16,2,0,0,0,0,0,11,14,0,0,0,0,0,2,16,8,0,3,0,0,1,13,16,14,16,16,3,0,0,12,16,16,13,7,0,2
0,0,5,16,16,15,1,0,0,0,10,9,10,16,2,0,0,0,0,1,12,10,0,0,0,0,0,9,16,8,0,0,0,0,0,2,14,16,5,0,0,0,0,4,0,16,5,0,0,0,3,14,8,13,0,0,0,0,4,16,13,3,0,0,3
0,0,11,16,15,2,0,0,0,0,12,10,14,8,0,0,0,0,0,0,11,8,0,0,0,0,0,1,15,3,0,0,0,0,1,11,11,0,0,0,0,6,15,15,2,0,0,0,0,9,16,14,9,3,0,0,0,1,9,12,15,16,13,0,2
0,0,1,9,15,12,0,0,0,0,13,8,5,14,4,0,0,0,14,1,5,14,1,0,0,0,7,13,16,4,0,0,0,0,11,12,14,12,1,0,0,4,13,0,0,11,7,0,0,1,13,7,2,8,8,0,0,0,1,9,16,13,2,0,8
0,3,15,16,11,0,0,0,0,10,15,13,16,2,0,0,0,10,7,4,16,0,0,0,0,1,0,9,12,0,0,0,0,0,1,16,6,0,0,0,0,0,10,15,0,0,0,0,0,7,16,14,12,14,11,0,0,6,16,16,16,11,3,0,2
0,0,9,13,15,10,1,0,0,0,7,4,4,12,13,0,0,0,0,0,0,7,11,0,0,0,2,12,13,12,2,0,0,0,0,10,15,1,0,0,0,0,0,1,11,9,0,0,0,0,12,3,3,15,0,0,0,0,8,16,16,3,0,0,3
0,2,16,10,9,8,0,0,0,0,10,16,16,12,0,0,0,1,5,10,16,10,6,0,0,11,16,16,16,15,7,0,0,3,5,14,9,2,0,0,0,0,6,16,0,0,0,0,0,0,10,10,0,0,0,0,0,3,16,1,0,0,0,0,7
0,0,3,14,16,12,1,0,0,3,16,14,3,11,4,0,0,2,13,1,3,15,4,0,0,0,10,16,16,8,0,0,0,2,15,10,14,4,0,0,0,5,14,0,3,14,1,0,0,0,14,4,1,14,2,0,0,0,2,13,16,10,0,0,8
0,0,0,9,14,0,0,0,0,0,5,16,4,4,9,0,0,4,16,3,0,13,9,0,0,6,16,15,12,16,13,0,0,0,8,11,15,14,3,0,0,0,0,0,16,5,0,0,0,0,0,6,13,0,0,0,0,0,0,9,10,0,0,0,4
0,0,0,0,8,13,1,0,0,0,1,9,15,14,1,0,0,6,14,16,16,10,0,0,0,5,11,4,16,9,0,0,0,0,0,3,16,5,0,0,0,0,0,3,16,7,0,0,0,0,0,0,16,10,0,0,0,0,0,0,11,13,0,0,1
0,0,1,13,14,2,0,0,0,0,7,16,10,12,0,0,0,3,15,10,0,12,3,0,0,7,9,0,0,8,7,0,0,5,9,0,0,8,7,0,0,1,13,0,0,11,2,0,0,0,13,7,5,10,0,0,0,0,3,14,15,3,0,0,0
0,0,0,0,15,15,1,0,0,0,0,2,16,16,4,0,0,0,2,11,16,15,1,0,0,9,16,16,16,12,0,0,0,3,10,8,16,8,0,0,0,0,0,0,16,11,0,0,0,0,0,0,15,13,0,0,0,0,0,0,15,15,0,0,1
0,0,2,14,15,8,0,0,0,0,8,10,3,15,1,0,0,0,5,11,1,15,4,0,0,0,0,12,15,16,5,0,0,0,0,0,2,8,6,0,0,1,3,0,0,7,5,0,0,1,12,4,0,10,7,0,0,0,4,14,14,13,1,0,9
0,0,9,15,14,1,0,0,0,2,16,8,15,10,0,0,0,2,14,4,13,14,1,0,0,0,7,15,15,14,6,0,0,0,0,1,1,7,9,0,0,0,0,0,0,3,12,0,0,0,6,0,0,6,12,0,0,0,9,16,16,16,6,0,9
0,0,7,10,13,5,0,0,0,6,16,12,16,12,0,0,0,6,15,6,16,14,1,0,0,1,13,16,12,16,2,0,0,0,0,0,0,13,4,0,0,0,0,0,0,11,7,0,0,0,11,6,4,13,8,0,0,0,9,16,16,12,3,0,9
0,0,8,16,16,16,16,2,0,0,8,10,7,12,13,0,0,0,0,0,3,15,2,0,0,0,4,11,15,16,13,0,0,0,11,16,14,6,0,0,0,0,1,14,6,0,0,0,0,0,7,13,1,0,0,0,0,0,12,8,0,0,0,0,7
0,0,10,12,13,11,2,0,0,0,14,9,8,8,2,0,0,0,15,0,0,0,0,0,0,6,16,6,0,0,0,0,0,3,12,13,15,5,0,0,0,0,0,0,6,13,1,0,0,0,9,5,4,14,0,0,0,0,8,15,15,7,0,0,5
0,0,2,13,13,4,0,0,0,0,12,13,11,14,0,0,0,0,9,13,13,14,1,0,0,0,0,4,8,13,3,0,0,0,0,0,0,7,9,0,0,0,0,0,0,3,13,0,0,0,14,6,0,6,12,0,0,0,2,12,16,16,7,0,9
0,0,0,5,12,15,7,0,0,0,3,14,4,13,6,0,0,0,4,13,0,14,7,0,0,0,0,13,14,16,8,0,0,0,0,0,3,8,8,0,0,1,3,0,0,10,8,0,0,5,16,7,0,12,4,0,0,0,2,6,13,15,1,0,9
0,0,6,12,15,15,9,0,0,0,8,12,4,4,3,0,0,0,12,3,0,0,0,0,0,1,15,6,3,0,0,0,0,8,16,12,16,6,0,0,0,3,4,0,4,11,0,0,0,4,15,5,13,6,0,0,0,0,6,16,10,0,0,0,5
0,0,3,10,13,5,0,0,0,0,15,12,5,14,1,0,0,4,12,1,0,10,4,0,0,5,8,0,0,8,7,0,0,5,8,0,0,8,8,0,0,4,11,0,0,11,5,0,0,1,14,6,7,12,0,0,0,0,4,15,14,4,0,0,0
0,0,0,2,15,7,0,0,0,0,0,11,12,1,0,0,0,0,6,15,1,14,2,0,0,5,15,5,3,16,1,0,0,7,16,14,13,16,8,0,0,1,6,12,15,14,3,0,0,0,0,1,13,7,0,0,0,0,0,3,16,1,0,0,4
0,0,5,13,12,15,2,0,0,0,13,13,8,8,2,0,0,3,16,5,0,0,0,0,0,7,16,13,5,0,0,0,0,1,7,10,16,10,0,0,0,0,0,0,4,16,4,0,0,0,8,6,5,16,4,0,0,0,7,13,13,10,0,0,5
0,0,0,2,14,5,1,0,0,0,1,12,13,1,15,4,0,0,9,15,2,6,16,2,0,7,16,13,8,14,12,0,0,9,16,16,16,16,10,0,0,0,0,3,11,15,1,0,0,0,0,0,14,10,0,0,0,0,0,2,16,4,0,0,4
0,0,7,13,12,9,1,0,0,3,15,5,5,16,4,0,0,3,15,2,7,16,1,0,0,0,5,15,16,15,4,0,0,0,0,0,0,11,7,0,0,1,4,0,0,9,7,0,0,3,13,1,0,10,8,0,0,0,9,15,16,16,1,0,9
0,0,2,14,12,2,0,0,0,0,12,13,7,13,0,0,0,5,16,1,0,12,3,0,0,6,12,2,0,4,8,0,0,7,8,0,0,7,8,0,0,1,14,1,0,9,6,0,0,0,9,11,7,16,1,0,0,0,2,12,16,8,0,0,0
0,0,2,8,15,7,0,0,0,0,11,15,6,14,3,0,0,0,16,6,0,4,9,0,0,8,4,0,0,4,8,0,0,6,7,0,0,5,8,0,0,3,13,0,0,13,1,0,0,0,10,11,8,11,0,0,0,0,1,13,11,2,0,0,0
0,3,16,16,10,0,0,0,0,2,12,11,16,3,0,0,0,0,0,2,16,5,0,0,0,0,0,3,16,2,0,0,0,0,1,15,10,0,0,0,0,0,13,16,1,0,0,0,0,7,16,13,10,12,13,0,0,2,15,16,16,12,6,0,2
0,0,14,16,14,5,0,0,0,0,3,0,2,16,3,0,0,0,0,4,10,15,1,0,0,6,16,16,14,2,0,0,0,1,4,6,12,12,0,0,0,0,0,0,0,12,9,0,0,0,10,0,4,14,5,0,0,0,13,16,13,4,0,0,3
0,0,0,13,16,16,16,1,0,0,0,7,8,13,11,0,0,0,0,0,0,14,10,1,0,6,12,13,16,14,9,0,0,6,14,10,16,6,0,0,0,0,0,7,13,1,0,0,0,0,0,13,10,0,0,0,0,0,0,15,3,0,0,0,7
0,0,6,12,13,12,6,0,0,0,6,8,2,5,7,0,0,0,12,2,0,0,0,0,0,7,15,12,7,2,0,0,0,2,8,8,9,15,4,0,0,0,0,0,0,7,7,0,0,0,4,5,4,13,2,0,0,0,4,15,16,6,0,0,5
0,0,1,8,15,8,0,0,0,0,14,11,14,16,0,0,0,3,12,0,6,9,0,0,0,1,15,10,14,1,0,0,0,0,1,15,16,5,0,0,0,0,5,12,3,15,3,0,0,0,6,11,1,13,4,0,0,0,0,8,16,13,1,0,8
0,0,5,8,12,12,13,0,0,0,14,12,8,4,4,0,0,0,14,0,2,0,0,0,0,3,16,16,16,10,0,0,0,0,5,1,2,15,2,0,0,0,0,0,0,16,0,0,0,0,4,10,8,9,0,0,0,0,3,16,13,1,0,0,5
0,0,4,15,10,0,0,0,0,3,16,9,10,7,0,0,0,7,15,3,1,11,2,0,0,8,6,0,0,6,7,0,0,8,5,0,0,4,8,0,0,4,10,0,0,7,8,0,0,0,13,6,5,15,3,0,0,0,4,15,14,6,0,0,0
0,0,0,3,15,4,0,0,0,0,0,13,9,0,0,0,0,0,8,12,0,7,4,0,0,4,14,3,0,15,5,0,0,11,16,16,16,16,10,0,0,5,9,9,13,12,0,0,0,0,0,0,12,7,0,0,0,0,0,2,16,3,0,0,4
0,0,0,2,11,1,0,0,0,0,0,7,13,1,0,0,0,0,6,15,2,4,7,0,0,1,14,11,0,14,8,0,0,7,16,16,16,16,3,0,0,0,0,3,13,14,0,0,0,0,0,0,15,9,0,0,0,0,0,3,15,5,0,0,4
0,0,4,14,5,0,0,0,0,0,12,15,14,0,0,0,0,0,12,8,15,9,0,0,0,0,5,16,15,16,4,0,0,0,0,0,6,12,10,0,0,0,0,0,0,5,15,0,0,0,3,8,4,9,16,4,0,0,5,12,15,12,11,0,9
0,0,0,3,12,0,0,0,0,0,0,12,9,1,1,0,0,0,3,16,3,10,7,0,0,1,13,10,1,16,3,0,0,8,16,13,13,16,2,0,0,3,6,8,16,14,2,0,0,0,0,2,16,2,0,0,0,0,0,3,13,0,0,0,4
0,0,2,13,14,2,0,0,0,1,15,16,16,9,0,0,0,7,16,8,5,16,1,0,0,6,16,3,0,11,7,0,0,5,16,4,0,8,8,0,0,0,16,9,0,10,11,0,0,0,10,15,10,16,8,0,0,0,2,13,16,14,2,0,0
0,0,3,15,8,0,0,0,0,0,8,16,16,7,0,0,0,0,7,11,9,12,0,0,0,0,2,5,9,11,0,0,0,0,0,0,13,7,0,0,0,0,7,10,16,4,0,0,0,0,14,16,16,16,15,0,0,0,1,4,4,7,11,1,2
0,0,0,6,11,6,0,0,0,0,8,13,9,16,3,0,0,2,15,4,0,13,3,0,0,0,7,14,9,13,0,0,0,0,1,15,16,6,0,0,0,0,11,10,10,12,0,0,0,0,9,10,1,16,3,0,0,0,0,9,12,10,1,0,8
0,0,4,16,7,1,0,0,0,0,10,13,15,11,0,0,0,2,15,3,4,15,3,0,0,4,16,0,0,12,8,0,0,5,16,1,0,9,8,0,0,4,16,2,1,13,7,0,0,0,14,9,9,14,1,0,0,0,5,14,15,6,0,0,0
0,0,5,12,6,0,0,0,0,0,11,16,15,6,0,0,0,0,10,11,11,15,2,0,0,0,4,15,15,16,6,0,0,0,0,4,8,13,9,0,0,0,0,0,0,8,13,0,0,0,9,8,8,12,13,0,0,0,5,10,13,12,5,0,9
0,0,1,13,10,0,0,0,0,0,9,16,11,0,0,0,0,3,16,11,0,0,0,0,0,5,16,11,7,1,0,0,0,4,16,16,16,15,3,0,0,3,16,12,2,12,11,0,0,0,12,14,5,9,15,0,0,0,0,10,15,16,11,0,6
0,0,2,9,3,0,0,0,0,5,14,9,13,9,0,0,0,7,14,0,10,10,0,0,0,0,9,14,15,6,0,0,0,0,7,16,16,0,0,0,0,0,12,6,7,12,1,0,0,0,15,5,0,14,6,0,0,0,2,8,12,11,3,0,8
0,0,6,12,8,4,0,0,0,1,14,5,7,16,1,0,0,2,16,4,6,13,0,0,0,0,9,14,15,2,0,0,0,0,7,14,12,1,0,0,0,0,15,2,9,11,0,0,0,0,15,7,6,16,0,0,0,0,3,8,9,6,0,0,8
0,1,8,15,10,0,0,0,0,6,15,13,16,8,0,0,0,0,0,3,14,12,0,0,0,0,4,15,16,10,0,0,0,0,7,12,13,16,6,0,0,0,0,0,0,14,8,0,0,0,8,10,13,16,3,0,0,0,10,16,12,5,0,0,3
0,1,13,12,0,0,0,0,0,7,16,16,8,0,0,0,0,8,10,4,14,0,0,0,0,2,6,2,15,0,0,0,0,0,0,9,10,0,0,0,0,0,5,16,5,0,0,0,0,2,16,16,16,16,11,0,0,1,11,11,8,9,9,0,2
0,0,8,12,9,1,0,0,0,3,16,16,16,10,0,0,0,3,16,16,16,10,0,0,0,0,8,16,16,4,0,0,0,0,12,16,16,8,0,0,0,1,15,16,16,9,0,0,0,0,13,16,16,9,0,0,0,0,6,9,11,3,0,0,1
0,0,6,14,16,5,0,0,0,3,16,13,13,12,0,0,0,1,4,1,12,12,0,0,0,0,4,14,16,6,0,0,0,0,6,14,16,15,2,0,0,0,0,0,8,16,2,0,0,2,16,10,13,15,0,0,0,0,9,14,8,2,0,0,3
0,0,6,12,12,8,0,0,0,0,11,16,16,16,0,0,0,0,9,16,16,16,1,0,0,0,12,16,16,15,2,0,0,0,12,16,16,16,4,0,0,0,12,16,16,11,1,0,0,0,8,16,16,1,0,0,0,1,11,12,5,0,0,0,1
0,0,1,12,14,16,10,0,0,0,3,10,8,16,6,0,0,0,0,0,3,15,1,0,0,0,1,7,14,14,3,0,0,0,4,13,16,12,5,0,0,0,0,7,13,0,0,0,0,0,0,13,7,0,0,0,0,0,2,14,2,0,0,0,7
0,0,10,16,6,0,0,0,0,0,15,14,16,0,0,0,0,0,14,4,16,0,0,0,0,0,0,2,15,0,0,0,0,0,0,6,10,0,0,0,0,0,1,14,6,0,0,0,0,1,14,16,13,12,6,0,0,0,8,8,8,11,11,0,2
0,0,0,4,15,0,0,0,0,0,1,13,11,0,0,0,0,0,7,16,7,12,0,0,0,2,16,11,10,16,2,0,0,6,16,16,16,16,3,0,0,0,4,4,15,13,1,0,0,0,0,1,16,7,0,0,0,0,0,4,11,1,0,0,4
0,0,2,16,15,6,0,0,0,7,11,15,12,16,0,0,0,9,16,10,10,16,1,0,0,0,11,16,16,6,0,0,0,0,15,16,15,2,0,0,0,0,14,5,10,13,1,0,0,0,11,11,6,16,7,0,0,0,3,11,16,12,3,0,8
0,0,0,4,15,0,0,0,0,0,3,15,10,0,0,0,0,0,11,15,0,4,0,0,0,5,16,8,4,16,3,0,0,3,16,14,13,16,2,0,0,0,4,6,15,14,2,0,0,0,0,0,15,6,0,0,0,0,0,2,15,2,0,0,4
0,1,9,13,12,6,0,0,0,5,16,13,8,10,2,0,0,4,14,1,0,0,0,0,0,2,16,14,4,0,0,0,0,5,16,15,16,4,0,0,0,0,0,1,11,16,3,0,0,0,6,6,15,15,1,0,0,0,7,13,10,3,0,0,5
0,0,9,16,15,5,0,0,0,4,16,12,12,16,7,0,0,5,16,4,0,1,1,0,0,8,16,15,11,3,0,0,0,4,14,12,14,15,2,0,0,0,0,0,4,16,4,0,0,0,5,8,15,15,2,0,0,0,11,15,9,2,0,0,5
0,0,0,0,9,6,0,0,0,0,0,9,14,2,0,0,0,0,3,15,4,3,6,0,0,1,13,11,0,13,7,0,0,7,16,13,13,16,3,0,0,0,4,4,13,13,1,0,0,0,0,1,16,7,0,0,0,0,0,1,14,1,0,0,4
0,1,15,12,3,0,0,0,0,1,12,16,15,4,0,0,0,0,0,4,16,10,0,0,0,0,0,15,16,5,0,0,0,0,0,12,14,13,1,0,0,0,0,0,0,8,12,0,0,0,7,8,6,13,13,0,0,0,13,16,16,13,7,0,3
0,3,14,14,4,0,0,0,0,8,15,11,16,6,0,0,0,1,4,4,16,7,0,0,0,0,5,16,16,4,0,0,0,0,2,9,15,16,3,0,0,0,0,0,4,16,8,0,0,0,7,4,11,16,5,0,0,2,14,16,14,7,0,0,3
0,0,4,14,15,4,0,0,0,1,16,14,15,13,0,0,0,4,16,7,4,16,3,0,0,5,16,3,0,12,4,0,0,4,16,2,0,11,8,0,0,2,16,6,1,15,4,0,0,0,12,13,13,14,1,0,0,0,3,16,15,4,0,0,0
0,0,6,14,9,0,0,0,0,3,16,13,16,6,0,0,0,2,16,3,9,13,0,0,0,1,16,1,1,15,4,0,0,3,16,0,0,12,6,0,0,0,16,1,0,13,4,0,0,0,16,8,8,15,1,0,0,0,7,15,14,5,0,0,0
0,0,4,14,11,0,0,0,0,3,16,9,15,7,0,0,0,9,15,0,4,14,2,0,0,8,13,0,0,12,6,0,0,8,12,0,0,11,7,0,0,6,14,1,0,14,4,0,0,0,14,11,8,16,1,0,0,0,5,16,14,6,0,0,0
0,0,1,8,6,0,0,0,0,0,14,16,16,16,0,0,0,0,16,16,16,16,0,0,0,0,16,16,16,16,0,0,0,0,16,16,16,15,0,0,0,0,16,16,16,13,0,0,0,0,9,16,16,9,0,0,0,0,6,8,6,1,0,0,1
0,2,10,15,8,0,0,0,0,6,16,15,16,8,0,0,0,8,16,5,13,16,0,0,0,4,16,12,16,16,5,0,0,0,5,11,13,16,7,0,0,0,0,0,1,16,8,0,0,0,2,4,10,16,8,0,0,0,12,16,14,11,0,0,9
0,2,15,13,2,0,0,0,0,6,16,14,15,1,0,0,0,7,12,0,15,8,0,0,0,4,7,0,16,8,0,0,0,0,0,1,16,3,0,0,0,0,0,9,15,0,0,0,0,2,15,16,16,14,5,0,0,2,10,12,13,16,8,0,2
0,0,13,14,4,0,0,0,0,4,16,13,14,2,0,0,0,0,16,4,16,14,2,0,0,0,11,14,16,14,0,0,0,0,0,8,11,15,0,0,0,0,0,0,4,16,2,0,0,0,6,6,7,16,2,0,0,0,12,16,16,10,0,0,9
0,1,12,16,15,11,3,0,0,7,16,14,11,9,4,0,0,3,16,8,2,0,0,0,0,5,16,16,15,3,0,0,0,2,14,16,16,14,0,0,0,0,0,0,12,16,1,0,0,2,12,12,16,16,0,0,0,1,14,16,10,3,0,0,5
0,0,8,16,15,5,0,0,0,0,7,8,15,10,0,0,0,0,0,0,14,10,0,0,0,0,5,12,16,14,2,0,0,0,16,16,15,10,6,0,0,0,1,14,7,0,0,0,0,0,4,16,0,0,0,0,0,0,4,12,0,0,0,0,7
0,0,8,12,3,0,0,0,0,5,16,16,14,4,0,0,0,10,15,2,14,16,2,0,0,3,16,10,13,16,7,0,0,0,5,8,10,16,8,0,0,0,0,0,0,12,12,0,0,0,10,7,4,14,12,0,0,0,10,16,16,14,7,0,9
0,0,3,8,6,1,0,0,0,2,15,16,16,12,0,0,0,0,13,16,16,13,0,0,0,0,10,16,16,16,0,0,0,0,12,16,16,16,0,0,0,0,14,16,16,16,2,0,0,0,12,16,16,15,2,0,0,0,1,6,6,0,0,0,1
0,0,5,14,12,1,0,0,0,0,14,15,16,10,0,0,0,4,13,1,3,15,0,0,0,5,7,0,0,11,7,0,0,4,13,0,0,6,8,0,0,4,16,2,0,9,8,0,0,0,13,15,10,16,3,0,0,0,4,13,16,11,0,0,0
0,1,9,13,9,2,0,0,0,6,16,10,16,7,0,0,0,0,0,2,16,6,0,0,0,0,2,13,14,0,0,0,0,0,2,13,16,13,0,0,0,0,0,0,4,15,8,0,0,0,8,4,4,14,11,0,0,1,14,16,16,12,1,0,3
0,0,8,13,16,10,3,0,0,5,16,10,8,10,6,0,0,6,12,0,0,0,0,0,0,6,15,12,3,0,0,0,0,4,12,14,16,1,0,0,0,0,0,0,16,8,0,0,0,0,4,7,16,7,0,0,0,0,11,14,10,0,0,0,5
0,0,0,6,7,0,0,0,0,0,2,15,6,0,0,0,0,0,10,11,1,1,0,0,0,4,16,5,10,9,0,0,0,8,16,16,16,15,2,0,0,1,4,7,16,10,0,0,0,0,0,5,16,1,0,0,0,0,0,9,11,0,0,0,4
0,0,2,12,5,0,0,0,0,1,13,16,13,2,0,0,0,3,16,10,14,11,0,0,0,7,16,8,5,16,4,0,0,7,16,8,1,14,5,0,0,2,15,9,1,15,5,0,0,0,11,14,11,15,2,0,0,0,3,16,15,3,0,0,0
0,0,1,8,12,7,0,0,0,2,15,8,5,14,0,0,0,0,11,5,3,15,0,0,0,0,1,14,16,12,0,0,0,0,5,15,15,9,0,0,0,1,15,6,1,12,1,0,0,0,12,11,1,12,5,0,0,0,1,8,8,9,3,0,8
0,0,2,12,16,14,10,0,0,0,1,8,4,11,13,0,0,0,0,0,0,14,5,0,0,0,0,3,9,15,0,0,0,0,5,16,16,15,3,0,0,0,2,10,13,3,0,0,0,0,0,13,7,0,0,0,0,0,1,15,2,0,0,0,7
0,0,0,12,7,0,0,0,0,0,7,16,3,0,0,0,0,2,15,6,0,0,0,0,0,4,16,10,7,0,0,0,0,5,16,16,16,12,0,0,0,6,16,9,5,16,3,0,0,1,14,15,11,16,3,0,0,0,1,10,16,7,0,0,6
0,0,9,16,8,1,0,0,0,5,16,9,14,11,1,0,0,10,10,0,8,16,4,0,0,4,16,15,15,16,8,0,0,0,4,8,7,13,8,0,0,0,0,0,0,9,11,0,0,0,11,6,9,16,7,0,0,0,11,13,12,6,0,0,9
0,0,0,11,12,0,0,0,0,0,7,16,11,1,0,0,0,2,16,12,0,0,0,0,0,2,16,7,0,0,0,0,0,8,16,16,8,1,0,0,0,4,16,13,13,14,3,0,0,0,13,14,7,16,12,0,0,0,0,10,16,12,6,0,6
0,0,7,14,7,0,0,0,0,0,15,14,16,3,0,0,0,0,15,12,16,6,0,0,0,0,6,16,16,4,0,0,0,0,8,16,16,11,0,0,0,0,15,12,3,16,8,0,0,2,15,11,8,16,10,0,0,0,9,16,16,12,6,0,8
0,0,1,14,13,1,0,0,0,0,12,16,16,12,0,0,0,1,11,14,11,16,5,0,0,3,8,16,2,8,10,0,0,0,5,14,0,8,7,0,0,0,7,12,0,15,3,0,0,0,7,14,11,11,0,0,0,0,2,16,13,2,0,0,0
0,3,12,16,15,4,0,0,0,4,11,8,14,11,0,0,0,0,0,6,16,3,0,0,0,0,3,15,15,1,0,0,0,0,1,11,15,14,1,0,0,0,0,0,4,12,6,0,0,1,8,12,15,16,6,0,0,2,12,12,11,7,0,0,3
0,0,2,6,9,4,0,0,0,3,15,5,8,13,0,0,0,4,15,3,5,16,0,0,0,0,9,13,15,7,0,0,0,0,3,16,12,0,0,0,0,0,9,9,13,6,0,0,0,0,10,8,11,16,1,0,0,0,5,12,12,7,0,0,8
0,0,7,15,14,3,0,0,0,0,8,11,10,12,0,0,0,0,0,0,5,13,0,0,0,0,0,5,15,9,0,0,0,0,0,5,12,15,6,0,0,0,0,0,0,8,12,0,0,0,8,1,1,12,12,0,0,0,9,15,16,13,1,0,3
0,1,8,15,16,12,3,0,0,4,16,13,5,6,2,0,0,0,16,7,1,0,0,0,0,6,16,16,15,8,0,0,0,1,12,8,12,16,5,0,0,0,0,0,5,16,5,0,0,0,3,8,15,12,0,0,0,0,8,14,8,0,0,0,5
0,0,4,15,6,0,0,0,0,0,13,13,16,0,0,0,0,4,15,1,16,2,0,0,0,0,0,2,16,0,0,0,0,0,0,8,12,0,0,0,0,1,12,16,6,4,0,0,0,7,16,16,16,16,6,0,0,0,2,0,4,8,3,0,2
0,0,0,8,12,1,0,0,0,0,8,16,14,8,0,0,0,6,16,2,2,16,0,0,0,8,16,2,0,10,6,0,0,4,16,3,0,8,8,0,0,0,10,9,0,8,8,0,0,0,4,16,12,16,2,0,0,0,0,7,13,8,0,0,0
0,0,10,12,13,9,4,0,0,2,16,11,8,5,3,0,0,3,16,1,0,0,0,0,0,7,16,16,15,3,0,0,0,6,12,9,14,15,1,0,0,0,0,0,6,16,2,0,0,0,4,4,13,15,1,0,0,0,13,15,9,2,0,0,5
0,0,13,15,3,0,0,0,0,2,16,11,15,4,0,0,0,4,16,2,16,16,0,0,0,2,13,16,16,16,2,0,0,0,0,4,5,15,2,0,0,0,0,0,0,12,7,0,0,0,2,4,4,11,12,0,0,0,11,16,16,15,10,0,9
0,0,12,16,6,0,0,0,0,6,16,11,15,5,0,0,0,8,16,0,11,15,1,0,0,8,14,0,2,16,5,0,0,8,14,0,0,12,7,0,0,5,16,2,1,16,4,0,0,3,15,10,11,14,2,0,0,0,6,12,10,1,0,0,0
0,0,11,16,12,1,0,0,0,0,16,12,16,12,0,0,0,0,3,2,12,12,0,0,0,0,5,16,16,6,0,0,0,0,4,12,16,15,2,0,0,0,0,0,5,15,7,0,0,1,11,12,12,16,7,0,0,2,12,15,12,5,1,0,3
0,0,3,11,7,0,0,0,0,4,16,16,16,0,0,0,0,4,16,16,16,0,0,0,0,4,16,16,10,0,0,0,0,1,14,16,16,0,0,0,0,0,12,16,16,6,0,0,0,0,11,16,16,11,0,0,0,0,2,11,12,6,0,0,1
0,0,6,11,14,3,0,0,0,2,16,12,11,16,0,0,0,4,16,9,7,15,0,0,0,0,14,15,16,12,0,0,0,0,10,16,16,3,0,0,0,1,16,6,11,15,1,0,0,3,16,3,7,16,3,0,0,0,7,14,16,12,1,0,8
0,2,12,16,16,10,2,0,0,7,16,8,6,8,2,0,0,6,15,0,0,0,0,0,0,6,16,13,8,0,0,0,0,6,15,12,16,6,0,0,0,0,0,0,11,13,0,0,0,0,4,6,16,12,0,0,0,2,15,14,9,0,0,0,5
0,0,6,16,5,0,0,0,0,6,16,16,16,7,0,0,0,11,15,2,16,14,0,0,0,9,16,10,16,16,7,0,0,2,13,16,16,16,8,0,0,0,0,0,0,13,12,0,0,0,3,8,12,16,7,0,0,0,5,16,12,5,0,0,9
0,0,3,15,13,2,0,0,0,2,15,14,16,8,0,0,0,5,15,6,4,15,0,0,0,1,15,1,1,15,3,0,0,3,16,2,0,12,5,0,0,3,16,3,0,12,6,0,0,0,12,14,15,15,0,0,0,0,2,14,14,4,0,0,0
0,0,2,14,1,0,0,0,0,0,11,13,0,0,0,0,0,2,16,1,0,0,0,0,0,4,16,1,3,0,0,0,0,8,12,12,16,13,0,0,0,4,16,9,4,13,6,0,0,0,13,12,8,12,11,0,0,0,2,10,13,14,4,0,6
0,0,8,12,11,6,0,0,0,1,14,16,16,13,0,0,0,4,16,16,16,8,0,0,0,1,15,16,16,3,0,0,0,3,15,16,16,7,0,0,0,2,13,16,16,8,0,0,0,1,14,16,16,7,0,0,0,0,7,12,9,0,0,0,1
0,0,1,12,14,1,0,0,0,0,8,15,7,0,0,0,0,1,14,7,0,0,0,0,0,1,16,16,16,10,2,0,0,1,16,15,5,11,10,0,0,1,16,4,0,8,13,0,0,0,11,11,9,16,8,0,0,0,2,11,15,5,0,0,6
0,1,10,16,12,1,0,0,0,7,16,10,13,5,0,0,0,1,6,0,9,8,0,0,0,0,0,7,15,10,0,0,0,0,0,6,12,14,7,0,0,0,0,0,0,2,14,0,0,0,7,6,4,9,14,0,0,0,7,15,16,13,7,0,3
0,0,8,15,10,1,0,0,0,0,15,13,15,10,0,0,0,0,16,2,0,14,1,0,0,0,14,5,7,16,2,0,0,0,7,12,11,15,3,0,0,0,0,0,0,13,4,0,0,0,6,6,9,16,2,0,0,0,7,13,14,3,0,0,9
0,4,16,16,16,16,13,0,0,5,12,12,13,16,14,0,0,0,0,0,10,15,4,0,0,0,0,3,16,9,0,0,0,0,0,7,16,2,0,0,0,0,3,15,9,0,0,0,0,0,13,16,2,0,0,0,0,2,16,12,0,0,0,0,7
0,0,1,16,15,5,0,0,0,0,9,16,16,12,0,0,0,2,16,16,16,7,0,0,0,0,12,16,16,2,0,0,0,0,8,16,16,5,0,0,0,0,15,16,16,11,0,0,0,0,15,16,16,16,8,0,0,0,2,10,15,11,4,0,1
0,0,2,16,10,1,0,0,0,0,8,15,13,7,0,0,0,0,3,9,4,13,0,0,0,0,0,0,6,13,0,0,0,0,0,0,12,8,0,0,0,0,0,4,16,3,0,0,0,0,2,15,14,8,14,5,0,0,2,15,16,16,12,7,2
0,0,1,12,13,2,0,0,0,0,12,16,10,2,0,0,0,2,16,7,0,0,0,0,0,1,16,12,8,2,0,0,0,2,16,13,13,14,2,0,0,0,13,7,0,12,12,0,0,0,9,13,6,15,13,0,0,0,1,11,15,14,6,0,6
0,0,4,9,9,0,0,0,0,1,16,15,12,10,0,0,0,3,16,5,0,0,0,0,0,6,16,16,7,0,0,0,0,3,16,15,16,1,0,0,0,0,1,0,12,5,0,0,0,0,13,10,16,6,0,0,0,0,8,16,9,0,0,0,5
0,0,12,14,8,3,0,0,0,3,16,15,16,16,3,0,0,0,14,12,14,13,1,0,0,0,7,16,16,3,0,0,0,0,12,16,16,2,0,0,0,1,15,4,9,14,0,0,0,3,15,4,5,16,1,0,0,1,12,16,16,12,0,0,8
0,0,2,9,16,6,0,0,0,1,15,16,11,5,0,0,0,2,16,7,0,0,0,0,0,5,16,0,3,0,0,0,0,4,16,16,16,14,3,0,0,2,16,6,1,10,10,0,0,0,10,12,8,15,10,0,0,0,1,11,16,12,4,0,6
0,1,11,9,14,11,1,0,0,8,16,14,14,16,2,0,0,7,16,0,11,12,0,0,0,1,1,1,15,5,0,0,0,0,0,10,14,0,0,0,0,0,2,15,5,0,0,0,0,0,12,16,4,0,0,0,0,0,15,11,1,0,0,0,7
0,0,11,15,16,16,16,7,0,0,14,14,12,16,16,3,0,0,1,0,4,16,6,0,0,0,0,0,13,12,0,0,0,0,0,7,15,4,0,0,0,0,3,16,9,0,0,0,0,0,11,16,5,0,0,0,0,0,15,15,0,0,0,0,7
0,0,11,12,2,0,0,0,0,3,16,12,7,0,0,0,0,2,14,3,10,0,0,0,0,0,0,5,8,0,0,0,0,0,0,11,5,0,0,0,0,0,3,16,1,0,0,0,0,0,11,14,9,15,15,0,0,0,8,13,12,8,10,2,2
0,0,2,16,11,0,0,0,0,1,11,16,16,7,0,0,0,10,16,16,16,9,0,0,0,2,9,15,16,11,0,0,0,0,0,12,16,8,0,0,0,0,4,16,16,5,0,0,0,0,10,16,16,15,4,0,0,0,3,15,16,12,0,0,1
0,4,8,8,12,16,5,0,0,8,16,16,16,15,3,0,0,2,3,7,16,7,0,0,0,0,0,12,14,1,0,0,0,0,9,16,7,0,0,0,0,0,14,16,0,0,0,0,0,6,16,12,0,0,0,0,0,6,14,7,0,0,0,0,7
0,0,9,16,16,7,0,0,0,0,13,15,13,11,0,0,0,1,15,11,1,0,0,0,0,2,16,16,15,3,0,0,0,0,7,12,12,10,0,0,0,0,0,0,9,14,0,0,0,0,4,8,15,15,0,0,0,0,10,16,16,7,0,0,5
0,0,5,7,13,7,0,0,0,7,16,16,10,15,0,0,0,5,15,5,6,11,0,0,0,1,9,15,15,4,0,0,0,0,5,16,16,3,0,0,0,0,14,7,13,8,0,0,0,0,15,11,13,11,0,0,0,0,5,12,12,4,0,0,8
0,0,4,15,9,1,0,0,0,0,11,16,16,9,0,0,0,0,1,10,16,11,0,0,0,0,0,8,16,12,0,0,0,0,0,11,16,10,0,0,0,0,1,16,16,7,0,0,0,0,5,16,16,12,0,0,0,0,5,16,14,6,0,0,1
0,4,15,9,8,8,1,0,0,4,16,16,16,16,8,0,0,9,15,2,15,14,1,0,0,5,5,5,16,4,0,0,0,0,0,12,12,0,0,0,0,0,7,15,2,0,0,0,0,3,16,7,0,0,0,0,0,6,16,4,0,0,0,0,7
0,0,3,13,14,1,0,0,0,0,8,15,7,2,0,0,0,0,10,12,2,0,0,0,0,0,13,16,16,10,1,0,0,0,15,14,11,10,10,0,0,0,13,5,0,6,14,0,0,0,8,12,8,12,10,0,0,0,1,10,12,12,4,0,6
0,0,0,10,13,3,0,0,0,0,7,16,12,6,0,0,0,0,12,13,1,0,0,0,0,0,16,16,16,10,0,0,0,2,16,15,1,12,8,0,0,0,16,4,0,6,15,0,0,0,11,14,8,15,14,1,0,0,2,11,16,11,2,0,6
0,0,10,13,11,10,0,0,0,0,12,16,16,16,0,0,0,0,13,11,0,2,0,0,0,0,14,16,13,1,0,0,0,0,5,10,14,9,0,0,0,0,0,0,10,13,0,0,0,0,14,16,16,11,0,0,0,0,10,16,13,1,0,0,5
0,0,3,14,3,0,0,0,0,3,15,16,15,1,0,0,0,6,15,5,8,11,0,0,0,7,10,0,0,12,5,0,0,4,11,0,0,6,10,0,0,2,14,0,0,6,12,0,0,0,12,9,5,13,8,0,0,0,2,15,16,13,2,0,0
0,0,8,12,13,2,0,0,0,7,16,10,10,15,2,0,0,10,11,0,1,16,4,0,0,6,15,12,16,16,7,0,0,0,5,8,4,12,8,0,0,0,0,0,0,12,12,0,0,0,11,10,12,16,8,0,0,0,9,12,15,9,1,0,9
0,0,5,13,12,2,0,0,0,0,14,12,12,13,0,0,0,0,11,4,2,15,0,0,0,0,8,8,4,16,1,0,0,0,2,14,16,16,6,0,0,0,0,0,0,7,10,0,0,0,8,9,8,15,10,0,0,0,4,16,16,13,2,0,9
0,0,0,15,12,3,0,0,0,0,0,16,16,8,0,0,0,0,9,16,16,9,0,0,0,0,0,10,16,13,0,0,0,0,0,4,16,16,2,0,0,0,1,8,16,16,10,0,0,0,8,16,16,16,16,5,0,0,1,9,12,14,12,4,1
0,0,14,15,12,12,6,0,0,1,16,12,12,16,7,0,0,0,6,1,12,12,0,0,0,0,0,8,15,2,0,0,0,0,0,13,7,0,0,0,0,0,6,15,1,0,0,0,0,0,15,10,0,0,0,0,0,0,15,6,0,0,0,0,7
0,1,12,13,9,5,0,0,0,5,16,11,15,16,0,0,0,4,16,5,8,16,4,0,0,2,13,16,16,16,5,0,0,0,0,3,4,15,6,0,0,0,0,0,1,15,6,0,0,0,11,9,12,16,2,0,0,0,11,16,14,8,0,0,9
0,0,0,7,8,0,0,0,0,0,0,14,4,5,0,0,0,0,2,14,4,12,0,0,0,0,9,7,7,9,0,0,0,1,16,2,10,12,3,0,0,10,16,16,16,16,3,0,0,4,8,8,15,4,0,0,0,0,0,7,11,0,0,0,4
0,0,4,16,14,2,0,0,0,0,16,11,11,10,0,0,0,1,4,1,11,10,0,0,0,0,1,11,16,6,0,0,0,0,6,16,14,13,2,0,0,0,1,2,1,10,11,0,0,0,7,11,6,13,14,0,0,0,3,12,16,15,7,0,3
0,0,9,11,8,5,0,0,0,2,16,14,16,15,0,0,0,6,16,11,2,0,0,0,0,8,16,16,13,2,0,0,0,1,3,0,12,9,0,0,0,0,0,0,9,12,0,0,0,0,5,8,16,6,0,0,0,0,8,15,10,0,0,0,5
0,0,4,14,10,0,0,0,0,0,14,15,15,6,0,0,0,1,16,5,5,11,0,0,0,0,5,4,6,13,0,0,0,0,0,0,14,6,0,0,0,0,0,3,16,2,0,0,0,0,3,15,16,12,16,3,0,0,4,16,12,12,12,5,2
0,0,6,15,16,6,0,0,0,5,15,16,16,11,0,0,0,8,16,16,16,9,0,0,0,0,4,16,16,6,0,0,0,0,2,16,16,0,0,0,0,0,8,16,16,2,0,0,0,0,11,16,16,13,2,0,0,0,5,13,11,8,2,0,1
0,0,5,3,10,10,0,0,0,4,16,13,14,13,0,0,0,4,14,0,8,8,0,0,0,1,13,13,15,0,0,0,0,0,0,14,16,1,0,0,0,0,13,13,8,5,0,0,0,1,13,10,8,10,0,0,0,0,2,13,16,6,0,0,8
0,0,5,10,12,7,0,0,0,1,14,16,16,16,0,0,0,11,16,4,7,15,0,0,0,5,12,0,11,14,0,0,0,0,0,5,16,9,0,0,0,0,2,14,13,5,1,0,0,0,10,16,16,16,15,0,0,0,7,12,12,9,12,1,2
0,0,9,14,9,2,0,0,0,2,16,10,14,8,0,0,0,2,16,2,6,16,1,0,0,0,14,9,11,16,5,0,0,0,2,11,11,14,9,0,0,0,0,0,0,13,11,0,0,0,5,9,11,16,6,0,0,0,7,13,12,8,0,0,9
0,0,11,16,14,7,1,0,0,7,15,7,13,16,4,0,0,10,12,0,5,16,6,0,0,3,16,12,15,16,8,0,0,0,2,4,7,16,6,0,0,0,0,0,3,16,4,0,0,0,7,10,10,15,2,0,0,0,11,16,14,6,0,0,9
0,0,5,15,12,3,0,0,0,0,9,12,10,3,0,0,0,0,14,6,0,0,0,0,0,0,15,16,16,3,0,0,0,0,7,8,10,10,0,0,0,0,0,0,5,13,0,0,0,0,4,12,16,11,0,0,0,0,6,16,11,2,0,0,5
0,0,5,12,11,2,0,0,0,1,14,15,13,14,0,0,0,2,15,4,6,16,0,0,0,0,0,2,13,12,0,0,0,0,0,11,16,13,2,0,0,0,0,1,5,12,12,0,0,0,8,11,8,14,12,0,0,0,7,16,12,12,3,0,3
0,0,0,11,15,5,0,0,0,0,8,16,13,6,0,0,0,0,11,14,0,0,0,0,0,0,15,15,12,8,0,0,0,0,16,14,12,15,9,0,0,0,16,6,0,11,14,0,0,0,10,14,9,16,11,0,0,0,1,11,13,12,1,0,6
0,0,11,12,16,10,1,0,0,5,16,15,7,15,4,0,0,5,16,6,8,15,1,0,0,0,7,16,16,10,0,0,0,0,6,16,16,7,0,0,0,0,14,10,10,12,0,0,0,4,16,9,12,14,0,0,0,1,11,16,15,5,0,0,8
0,0,2,13,16,6,0,0,0,0,11,16,11,5,0,0,0,0,15,6,0,0,0,0,0,4,16,4,10,2,0,0,0,3,14,15,16,14,1,0,0,3,16,8,0,14,9,0,0,0,13,8,5,16,5,0,0,0,4,13,16,10,0,0,6
0,0,0,5,4,1,0,0,0,0,0,14,8,12,0,0,0,0,4,13,4,12,0,0,0,0,12,5,7,9,0,0,0,2,16,4,13,16,7,0,0,10,16,16,16,11,1,0,0,5,6,7,15,0,0,0,0,0,0,7,7,0,0,0,4
0,0,0,11,8,0,0,0,0,0,0,13,7,0,0,0,0,0,3,16,6,15,0,0,0,0,9,11,7,14,0,0,0,1,15,6,12,13,1,0,0,7,16,16,16,16,11,0,0,5,12,13,16,8,3,0,0,0,0,12,12,0,0,0,4
0,0,10,16,16,8,0,0,0,0,15,14,9,9,0,0,0,3,16,5,0,0,0,0,0,2,16,16,10,0,0,0,0,0,11,13,15,6,0,0,0,0,0,0,10,11,0,0,0,0,5,11,15,13,0,0,0,0,7,16,15,4,0,0,5
0,0,5,12,8,2,0,0,0,0,12,6,8,13,0,0,0,2,10,0,0,12,2,0,0,0,14,12,12,10,0,0,0,0,1,15,16,7,0,0,0,0,14,8,0,9,1,0,0,0,14,2,1,12,2,0,0,0,8,12,12,6,0,0,8
0,0,4,11,4,0,0,0,0,0,12,15,16,14,0,0,0,4,15,0,5,12,6,0,0,6,10,0,0,7,8,0,0,7,8,0,0,8,8,0,0,6,13,0,1,13,3,0,0,2,16,10,12,13,0,0,0,0,6,13,12,1,0,0,0
0,0,3,16,11,0,0,0,0,0,5,16,16,0,0,0,0,1,11,16,15,0,0,0,0,3,15,16,15,0,0,0,0,0,2,16,14,0,0,0,0,0,0,15,16,0,0,0,0,0,1,16,16,2,0,0,0,0,1,11,14,5,0,0,1
0,0,3,14,7,1,0,0,0,0,11,15,16,12,0,0,0,0,14,8,0,13,4,0,0,1,16,2,0,12,6,0,0,1,16,2,0,13,7,0,0,2,16,0,4,16,1,0,0,0,13,10,15,13,0,0,0,0,6,15,12,6,0,0,0
0,0,9,13,4,0,0,0,0,1,16,9,11,0,0,0,0,2,11,0,13,0,0,0,0,0,2,3,13,0,0,0,0,0,0,11,5,0,0,0,0,0,3,14,1,0,0,0,0,0,11,14,10,8,11,0,0,0,11,13,12,12,14,2,2
0,0,7,11,13,7,0,0,0,1,15,15,13,15,2,0,0,4,16,4,5,14,4,0,0,0,10,16,16,13,2,0,0,0,7,15,16,3,0,0,0,1,16,9,8,15,0,0,0,3,15,6,9,16,0,0,0,0,6,16,15,6,0,0,8
0,0,4,14,15,8,1,0,0,0,14,14,12,15,7,0,0,3,15,1,0,9,7,0,0,6,12,0,0,8,8,0,0,8,11,0,0,9,8,0,0,8,12,0,0,14,5,0,0,3,16,9,14,11,0,0,0,0,6,14,11,0,0,0,0
0,2,12,16,16,16,14,0,0,9,16,16,15,16,6,0,0,11,13,0,11,14,0,0,0,0,0,2,16,6,0,0,0,0,0,12,14,1,0,0,0,0,4,16,6,0,0,0,0,0,11,16,1,0,0,0,0,2,15,13,0,0,0,0,7
0,0,1,7,12,5,0,0,0,0,4,16,9,6,0,0,0,0,11,8,0,0,0,0,0,0,15,8,8,5,0,0,0,0,16,16,12,16,2,0,0,0,15,5,0,15,5,0,0,0,11,9,8,16,4,0,0,0,2,14,15,8,0,0,6
0,0,5,10,12,2,0,0,0,2,16,13,11,11,0,0,0,7,14,0,4,15,0,0,0,1,6,0,10,12,0,0,0,0,0,2,16,6,0,0,0,0,0,9,12,0,0,0,0,0,4,16,16,16,16,2,0,0,7,15,11,8,8,1,2
0,0,7,13,16,8,0,0,0,9,16,12,8,16,2,0,0,4,7,0,6,15,1,0,0,0,4,13,16,8,0,0,0,0,6,13,15,16,3,0,0,0,0,0,2,11,12,0,0,0,7,8,4,14,12,0,0,0,10,16,16,14,4,0,3
0,0,10,15,10,0,0,0,0,10,15,10,16,6,0,0,0,2,2,13,15,1,0,0,0,0,4,16,16,5,0,0,0,0,0,3,7,15,5,0,0,0,0,0,0,9,13,0,0,0,13,7,5,11,14,0,0,0,7,16,16,14,3,0,3
0,0,0,11,14,2,0,0,0,0,9,16,12,6,0,0,0,2,15,8,0,0,0,0,0,0,16,4,3,1,0,0,0,0,16,14,16,15,3,0,0,0,13,14,2,4,14,1,0,0,7,14,5,8,16,4,0,0,1,9,15,14,7,0,6
0,0,10,14,11,9,0,0,0,0,9,12,8,9,0,0,0,0,11,9,1,0,0,0,0,0,15,16,14,2,0,0,0,0,12,2,10,6,0,0,0,0,0,0,0,13,0,0,0,0,7,5,8,12,0,0,0,0,10,16,15,4,0,0,5
0,1,11,14,12,6,0,0,0,8,15,7,11,15,0,0,0,11,9,0,8,16,4,0,0,8,14,13,16,16,7,0,0,0,6,9,4,15,8,0,0,0,0,0,0,11,10,0,0,0,9,8,11,16,3,0,0,0,14,14,11,5,0,0,9
0,0,8,11,15,4,0,0,0,0,14,14,12,6,0,0,0,0,11,9,0,0,0,0,0,0,10,16,14,2,0,0,0,0,4,8,9,14,2,0,0,0,0,0,0,15,2,0,0,0,4,11,13,16,1,0,0,0,4,15,12,9,0,0,5
0,0,8,12,14,15,15,1,0,3,15,16,14,16,15,2,0,0,10,2,5,16,7,0,0,0,0,1,14,12,0,0,0,0,0,6,16,5,0,0,0,0,0,15,12,0,0,0,0,0,6,16,7,0,0,0,0,0,11,16,3,0,0,0,7
0,0,7,8,8,8,0,0,0,0,12,16,14,12,0,0,0,0,15,5,2,0,0,0,0,0,14,16,13,2,0,0,0,0,7,4,12,9,0,0,0,0,0,0,6,12,0,0,0,0,11,12,16,10,0,0,0,0,8,13,8,1,0,0,5
0,0,3,12,15,3,0,0,0,0,14,15,14,4,0,0,0,1,16,15,1,0,0,0,0,3,16,16,5,2,1,0,0,2,16,11,4,8,10,0,0,2,16,2,0,6,13,0,0,0,11,11,4,11,10,0,0,0,1,10,13,10,3,0,6
0,0,5,15,11,9,1,0,0,0,10,16,12,14,7,0,0,0,15,2,0,10,8,0,0,2,12,0,0,11,8,0,0,4,10,0,0,12,5,0,0,8,10,0,3,15,1,0,0,2,15,12,14,9,0,0,0,0,6,14,9,1,0,0,0
0,0,0,10,14,0,0,0,0,0,4,16,7,0,0,0,0,0,8,16,6,8,0,0,0,0,14,9,8,15,0,0,0,4,16,3,11,15,6,0,0,10,16,16,16,16,9,0,0,6,12,13,16,7,0,0,0,0,0,12,16,2,0,0,4
0,0,1,10,14,13,2,0,0,0,9,15,13,16,5,0,0,0,0,0,0,11,5,0,0,0,0,0,4,13,0,0,0,0,8,16,16,13,2,0,0,0,8,14,16,10,1,0,0,0,0,12,7,0,0,0,0,0,0,14,2,0,0,0,7
0,0,7,15,8,2,0,0,0,0,12,16,14,5,0,0,0,0,12,16,16,4,0,0,0,0,12,16,16,2,0,0,0,0,13,16,16,2,0,0,0,0,14,16,16,0,0,0,0,1,14,16,16,14,1,0,0,1,8,16,11,8,0,0,1
0,0,6,9,4,1,0,0,0,0,6,16,16,9,1,0,0,0,4,16,1,13,7,0,0,0,0,14,5,12,8,0,0,1,10,15,16,10,0,0,0,6,15,9,16,1,0,0,0,7,13,8,14,4,0,0,0,0,6,10,13,1,0,0,8
0,0,5,12,8,1,0,0,0,0,15,16,16,8,0,0,0,0,15,16,16,6,0,0,0,1,14,16,16,4,0,0,0,2,15,16,16,9,0,0,0,0,6,16,16,14,1,0,0,0,8,16,16,15,0,0,0,0,4,12,10,4,0,0,1
0,0,0,2,15,3,0,0,0,0,0,8,14,0,0,0,0,0,0,12,8,2,4,0,0,0,4,15,2,15,8,0,0,4,13,14,9,16,6,0,3,16,16,16,16,14,0,0,1,6,4,4,13,9,0,0,0,0,0,3,16,4,0,0,4
0,0,7,16,10,0,0,0,0,1,13,14,16,8,0,0,0,5,16,4,7,13,0,0,0,4,16,4,0,13,5,0,0,7,16,0,0,12,8,0,0,2,15,7,0,10,11,0,0,0,12,15,12,16,5,0,0,0,6,15,16,8,0,0,0
0,0,4,14,16,11,0,0,0,0,12,12,16,15,0,0,0,0,0,1,16,11,0,0,0,0,2,9,16,9,0,0,0,0,13,16,16,16,9,0,0,0,2,15,12,8,1,0,0,0,4,16,9,0,0,0,0,0,5,15,7,0,0,0,7
0,0,3,12,15,3,0,0,0,0,9,15,15,7,0,0,0,0,12,14,12,1,0,0,0,0,8,16,16,14,0,0,0,0,0,0,0,13,7,0,0,0,0,0,0,7,12,0,0,2,16,10,8,13,10,0,0,0,6,11,16,14,3,0,5
0,0,0,3,15,5,0,0,0,0,0,6,16,2,0,0,0,0,0,6,16,3,0,0,0,0,2,13,5,12,2,0,0,5,13,13,9,16,1,0,4,16,16,16,16,15,0,0,2,9,7,4,13,9,0,0,0,0,0,5,16,5,0,0,4
0,3,13,16,16,6,0,0,0,4,16,9,14,12,0,0,0,0,8,3,14,7,0,0,0,0,0,12,16,3,0,0,0,0,0,5,15,15,1,0,0,0,0,0,1,16,10,0,0,2,12,8,11,16,7,0,0,2,15,16,15,9,0,0,3
0,1,14,16,9,0,0,0,0,8,16,12,15,6,0,0,0,6,16,7,5,14,0,0,0,4,16,4,0,14,4,0,0,4,16,3,0,10,6,0,0,6,16,1,0,10,8,0,0,3,16,9,7,15,6,0,0,1,15,16,15,9,0,0,0
0,0,8,16,11,0,0,0,0,1,15,15,14,9,0,0,0,1,15,12,0,12,6,0,0,0,16,7,0,10,4,0,0,0,16,6,0,10,8,0,0,3,16,3,0,15,3,0,0,1,14,14,12,16,0,0,0,0,7,13,16,8,0,0,0
0,0,8,14,12,2,0,0,0,3,16,12,15,6,0,0,0,3,7,7,13,9,0,0,0,0,5,15,16,3,0,0,0,0,0,7,14,14,1,0,0,0,0,0,3,16,5,0,0,0,7,5,10,16,5,0,0,0,13,10,8,3,0,0,3
0,1,9,15,5,0,0,0,0,6,16,13,15,3,0,0,0,12,11,0,12,14,0,0,0,5,15,11,15,16,3,0,0,0,4,8,10,16,5,0,0,0,0,0,0,12,12,0,0,0,6,4,7,14,13,0,0,0,7,14,14,12,5,0,9
0,2,14,16,11,0,0,0,0,8,15,7,16,0,0,0,0,1,2,0,15,1,0,0,0,0,2,12,14,0,0,0,0,0,1,11,14,11,0,0,0,0,0,0,2,14,5,0,0,2,8,3,4,10,12,0,0,1,13,16,16,14,4,0,3
0,0,3,11,16,16,10,0,0,0,11,10,8,16,7,0,0,0,0,0,4,16,2,0,0,0,1,4,13,11,0,0,0,0,10,16,16,16,9,0,0,0,4,13,13,8,2,0,0,0,2,14,6,0,0,0,0,0,4,12,1,0,0,0,7
0,0,1,13,12,14,7,0,0,0,5,12,9,16,2,0,0,0,0,0,3,13,0,0,0,0,0,0,10,7,0,0,0,0,7,16,16,10,1,0,0,0,9,14,16,11,1,0,0,0,0,15,5,0,0,0,0,0,1,15,2,0,0,0,7
0,0,0,0,10,7,0,0,0,0,0,0,15,5,0,0,0,0,0,4,16,3,0,0,0,0,0,7,15,3,0,0,0,3,7,14,12,16,1,0,1,14,16,16,16,15,0,0,0,9,10,14,16,16,0,0,0,0,0,0,12,9,0,0,4
0,0,4,16,16,8,0,0,0,2,16,10,12,16,4,0,0,4,16,4,10,16,4,0,0,3,16,16,16,16,1,0,0,0,0,0,4,16,4,0,0,0,0,0,2,16,1,0,0,0,0,6,11,16,0,0,0,0,4,13,9,3,0,0,9
0,1,11,16,15,2,0,0,0,4,12,8,14,8,0,0,0,1,1,2,15,6,0,0,0,0,0,7,16,4,0,0,0,0,0,1,13,13,0,0,0,0,0,0,2,16,7,0,0,0,10,11,8,15,8,0,0,0,8,14,16,12,1,0,3
0,0,0,8,14,5,0,0,0,0,0,9,16,14,2,0,0,0,0,11,16,13,1,0,0,0,6,16,16,7,0,0,0,3,13,16,16,4,0,0,0,3,11,15,16,12,0,0,0,0,0,10,16,15,3,0,0,0,0,8,16,15,6,0,1
0,0,3,15,12,2,0,0,0,1,16,14,13,11,0,0,0,5,16,12,0,11,5,0,0,4,11,11,0,3,8,0,0,6,8,0,0,4,8,0,0,4,11,0,0,9,7,0,0,0,15,13,9,13,5,0,0,0,3,12,14,12,0,0,0
0,0,0,10,13,3,0,0,0,0,0,16,16,8,0,0,0,0,4,16,16,7,0,0,0,2,15,16,16,10,0,0,0,6,16,16,16,13,0,0,0,0,0,8,16,14,0,0,0,0,0,11,16,16,1,0,0,0,0,12,12,7,0,0,1
0,0,0,9,14,14,12,6,0,0,3,8,8,11,16,7,0,0,0,0,1,12,12,0,0,0,3,4,11,14,0,0,0,0,13,16,16,15,4,0,0,0,0,10,11,0,0,0,0,0,0,14,9,0,0,0,0,0,0,15,4,0,0,0,7
0,0,2,14,16,13,0,0,0,0,15,9,7,9,0,0,0,0,14,6,5,4,0,0,0,0,11,16,16,16,3,0,0,0,1,5,4,11,8,0,0,0,3,0,0,7,9,0,0,2,16,11,4,8,10,0,0,0,1,10,14,15,3,0,5
0,0,4,13,16,15,4,0,0,3,16,10,8,16,4,0,0,3,10,0,3,16,4,0,0,0,0,11,16,15,0,0,0,0,0,3,14,16,6,0,0,0,0,0,2,16,9,0,0,0,2,12,8,16,8,0,0,0,3,16,16,13,1,0,3
0,0,8,14,13,1,0,0,0,3,16,16,16,7,0,0,0,4,16,3,11,8,0,0,0,0,4,0,15,4,0,0,0,0,0,3,15,1,0,0,0,0,7,14,15,5,2,0,0,1,16,16,16,16,15,0,0,0,6,4,6,9,11,0,2
0,0,6,11,4,0,0,0,0,0,12,16,14,0,0,0,0,0,12,16,6,1,0,0,0,0,5,16,16,5,0,0,0,0,12,16,16,4,0,0,0,0,12,16,16,9,0,0,0,0,13,16,16,12,0,0,0,0,8,12,11,6,0,0,1
0,0,0,16,11,4,0,0,0,0,2,16,16,12,0,0,0,0,10,16,16,8,0,0,0,2,16,16,16,4,0,0,0,2,11,16,16,4,0,0,0,0,1,16,16,6,0,0,0,0,0,14,16,16,6,0,0,0,0,12,16,15,6,0,1
0,0,0,9,15,10,0,0,0,0,2,16,16,16,0,0,0,0,0,15,16,16,0,0,0,0,2,16,16,12,0,0,0,0,14,16,16,12,0,0,0,4,16,16,16,11,0,0,0,0,0,12,16,16,4,0,0,0,0,14,15,10,2,0,1
0,0,13,14,5,0,0,0,0,3,16,15,16,3,0,0,0,7,11,1,13,4,0,0,0,1,2,2,15,2,0,0,0,0,0,9,12,0,0,0,0,0,8,16,4,1,1,0,0,0,16,16,16,16,8,0,0,0,11,12,10,11,7,0,2
0,0,7,13,14,6,0,0,0,2,16,16,16,14,0,0,0,3,16,9,4,2,0,0,0,2,16,16,14,5,0,0,0,0,6,8,9,15,7,0,0,0,0,0,0,8,12,0,0,0,11,4,5,14,11,0,0,0,8,16,16,13,1,0,5
0,0,9,16,14,1,0,0,0,4,16,14,15,8,0,0,0,8,16,5,3,15,2,0,0,7,13,0,0,15,4,0,0,8,12,0,0,12,5,0,0,5,14,1,2,14,4,0,0,0,16,16,16,13,1,0,0,0,8,14,11,3,0,0,0
0,0,0,7,8,2,0,0,0,0,2,15,16,8,0,0,0,0,4,16,16,8,0,0,0,0,8,16,16,9,0,0,0,3,16,16,16,16,0,0,0,1,6,9,16,16,0,0,0,0,0,7,16,16,2,0,0,0,0,7,11,3,0,0,1
0,0,3,14,8,0,0,0,0,8,16,16,16,6,0,0,0,11,14,4,7,14,0,0,0,9,10,0,0,12,7,0,0,6,11,0,0,6,8,0,0,0,16,4,0,4,12,0,0,0,10,14,10,14,10,0,0,0,2,12,16,13,2,0,0
0,0,12,13,9,2,0,0,0,3,16,16,16,7,0,0,0,2,16,5,0,0,0,0,0,0,14,16,14,3,0,0,0,0,1,4,10,15,3,0,0,0,0,0,0,9,12,0,0,0,13,12,12,13,13,0,0,0,6,12,14,14,5,0,5
0,0,2,11,15,8,0,0,0,0,14,13,13,8,0,0,0,0,14,8,8,4,0,0,0,0,7,16,16,14,2,0,0,0,1,4,1,13,6,0,0,0,0,0,0,7,13,0,0,0,10,7,2,7,12,0,0,0,2,10,14,16,7,0,5
0,0,12,10,2,0,0,0,0,2,16,8,10,2,0,0,0,0,16,0,10,10,0,0,0,0,5,10,12,15,0,0,0,0,0,6,8,14,3,0,0,0,0,0,0,5,12,0,0,0,0,1,4,9,13,0,0,0,10,15,16,15,5,0,9
0,0,1,12,7,0,0,0,0,0,14,16,6,0,0,0,0,2,16,5,0,0,0,0,0,1,16,2,0,0,0,0,0,3,16,11,5,3,0,0,0,1,16,15,14,16,8,0,0,0,11,16,5,7,16,5,0,0,1,10,16,16,13,1,6
0,1,11,14,14,3,0,0,0,9,14,10,11,14,0,0,0,8,8,0,9,12,0,0,0,3,3,8,16,6,0,0,0,0,0,8,14,16,2,0,0,0,0,0,0,10,12,0,0,0,5,6,4,12,13,0,0,0,11,12,15,14,6,0,3
0,0,0,1,16,8,0,0,0,0,0,3,16,6,0,0,0,0,0,7,15,9,3,0,0,0,3,14,8,16,4,0,0,7,15,14,12,16,3,0,3,15,16,16,16,16,1,0,1,4,4,4,14,13,0,0,0,0,0,1,16,7,0,0,4
0,0,3,15,16,16,6,0,0,0,11,15,12,16,2,0,0,0,0,0,11,13,0,0,0,0,4,8,16,8,2,0,0,0,14,16,16,16,10,0,0,0,3,13,12,6,1,0,0,0,1,16,6,0,0,0,0,0,7,15,2,0,0,0,7
0,0,0,4,16,1,0,0,0,0,0,6,14,0,0,0,0,0,0,11,10,9,2,0,0,0,4,16,8,16,4,0,0,5,14,11,11,16,2,0,3,15,16,16,16,14,0,0,3,12,11,14,16,13,0,0,0,0,0,7,16,7,0,0,4
0,0,10,16,14,6,0,0,0,0,14,16,9,15,3,0,0,0,10,16,5,15,4,0,0,0,3,16,16,13,1,0,0,0,12,16,16,10,0,0,0,2,16,5,10,14,0,0,0,7,16,8,7,16,3,0,0,0,9,14,16,11,1,0,8
0,1,12,8,0,0,0,0,0,9,16,14,9,0,0,0,0,9,8,0,16,0,0,0,0,1,0,4,13,0,0,0,0,0,0,9,7,0,0,0,0,0,1,13,3,0,0,0,0,1,15,15,11,10,7,0,0,0,11,12,12,12,11,0,2
0,0,0,1,16,5,0,0,0,0,0,4,16,6,0,0,0,0,0,7,15,3,2,0,0,0,1,14,8,16,7,0,0,3,12,15,9,16,2,0,2,15,16,16,16,15,0,0,0,3,7,8,15,12,0,0,0,0,0,1,16,9,0,0,4
0,0,6,8,0,0,0,0,0,0,11,14,0,0,0,0,0,0,13,7,0,0,0,0,0,0,16,7,0,0,0,0,0,0,16,9,6,0,0,0,0,4,16,16,16,14,2,0,0,2,14,14,8,16,9,0,0,0,6,15,16,16,6,0,6
0,0,0,9,9,1,0,0,0,0,10,16,10,12,1,0,0,0,5,14,1,12,4,0,0,0,0,11,15,16,2,0,0,0,3,12,16,9,0,0,0,1,12,10,4,16,7,0,0,2,15,5,0,11,12,0,0,0,1,10,13,13,6,0,8
0,0,13,16,5,0,0,0,0,4,15,13,13,0,0,0,0,7,8,3,16,1,0,0,0,9,3,4,16,0,0,0,0,0,0,8,10,0,0,0,0,0,2,15,5,0,0,0,0,0,12,16,16,16,7,0,0,0,13,12,9,15,7,0,2
0,0,10,16,14,3,0,0,0,2,16,10,14,12,0,0,0,0,7,4,14,8,0,0,0,0,0,8,16,9,0,0,0,0,0,0,7,16,4,0,0,0,0,0,0,13,7,0,0,8,11,5,4,16,4,0,0,1,11,15,16,8,1,0,3
0,0,0,9,14,0,0,0,0,0,0,13,11,0,4,0,0,0,2,16,6,6,15,0,0,0,9,14,0,14,10,0,0,12,16,14,13,15,1,0,0,11,14,14,16,12,0,0,0,0,0,7,16,5,0,0,0,0,0,14,13,0,0,0,4
0,0,11,15,6,0,0,0,0,0,10,16,8,0,0,0,0,0,8,16,16,0,0,0,0,2,12,16,14,2,0,0,0,0,6,16,16,7,0,0,0,0,8,16,16,9,0,0,0,0,12,16,16,15,3,0,0,0,8,15,12,5,1,0,1
0,0,6,9,13,11,2,0,0,7,16,16,16,16,3,0,0,8,16,10,6,0,0,0,0,5,16,16,16,13,1,0,0,0,0,3,6,16,4,0,0,3,0,0,0,12,5,0,0,5,16,9,8,14,6,0,0,0,5,10,12,10,0,0,5
0,1,10,10,6,0,0,0,0,4,15,11,15,7,0,0,0,2,14,1,11,14,0,0,0,0,11,16,16,16,0,0,0,0,0,0,0,16,3,0,0,0,0,0,0,11,8,0,0,2,8,8,8,12,12,0,0,2,12,12,16,13,5,0,9
0,0,8,16,15,4,0,0,0,0,8,16,16,10,0,0,0,0,8,16,16,7,0,0,0,0,8,16,16,4,0,0,0,2,16,16,16,4,0,0,0,0,12,16,16,4,0,0,0,0,7,16,16,11,0,0,0,0,7,16,16,13,4,0,1
0,0,7,11,15,6,0,0,0,3,16,15,12,4,0,0,0,5,16,13,14,8,0,0,0,6,15,11,8,15,6,0,0,0,0,0,0,8,8,0,0,0,0,0,0,4,8,0,0,0,13,9,8,13,5,0,0,0,6,11,14,9,0,0,5
0,1,12,16,16,8,0,0,0,4,10,8,8,4,0,0,0,9,11,6,7,0,0,0,0,4,16,16,16,11,0,0,0,0,0,0,1,16,4,0,0,0,0,0,0,16,6,0,0,0,5,8,11,14,2,0,0,0,15,13,10,1,0,0,5
0,0,7,13,16,8,0,0,0,0,16,14,10,16,2,0,0,0,9,14,4,16,1,0,0,0,1,16,16,14,0,0,0,0,8,16,16,3,0,0,0,2,16,13,14,15,1,0,0,4,16,7,5,16,6,0,0,0,10,15,16,15,2,0,8
0,0,6,16,8,0,0,0,0,0,14,10,11,7,0,0,0,0,16,1,3,16,1,0,0,0,11,10,13,16,5,0,0,0,2,8,8,9,10,0,0,0,0,0,0,2,14,0,0,0,0,0,1,5,15,1,0,0,6,15,16,14,5,0,9
0,1,9,15,2,0,0,0,0,10,14,14,7,0,0,0,0,5,3,10,8,0,0,0,0,0,0,14,4,0,0,0,0,0,2,16,0,0,0,0,0,0,10,12,1,0,0,0,0,2,16,16,16,14,8,0,0,0,7,9,14,16,7,0,2
0,0,5,15,10,0,0,0,0,1,15,12,13,10,0,0,0,5,16,2,1,11,3,0,0,5,14,2,0,4,8,0,0,4,12,0,0,4,8,0,0,3,14,2,0,9,9,0,0,0,12,12,7,14,9,0,0,0,5,16,16,10,0,0,0
0,0,0,8,11,0,0,0,0,0,5,14,7,0,0,0,0,0,12,10,0,0,0,0,0,4,16,3,0,0,0,0,0,5,15,12,10,3,0,0,0,4,16,12,8,15,5,0,0,0,10,15,6,10,15,0,0,0,0,7,12,12,8,0,6
0,0,2,14,11,4,0,0,0,1,14,16,13,16,2,0,0,4,16,10,3,15,3,0,0,0,9,16,14,14,2,0,0,1,12,16,16,4,0,0,0,5,16,9,11,13,0,0,0,1,14,13,10,16,7,0,0,0,4,9,13,11,1,0,8
0,0,9,14,10,1,0,0,0,3,13,2,8,9,0,0,0,4,12,0,4,16,1,0,0,1,14,8,11,16,6,0,0,0,1,6,3,10,7,0,0,0,0,0,0,8,8,0,0,3,8,3,1,10,8,0,0,1,9,11,16,12,1,0,9
0,0,11,12,4,0,0,0,0,4,16,8,14,7,0,0,0,5,16,7,6,15,1,0,0,0,12,16,16,16,2,0,0,0,0,1,0,7,9,0,0,0,0,0,0,4,12,0,0,0,4,8,10,14,12,0,0,0,10,12,9,7,0,0,9
0,0,10,16,16,16,5,0,0,0,2,4,10,16,5,0,0,0,0,0,9,12,0,0,0,0,4,14,16,13,6,0,0,0,6,15,16,15,7,0,0,0,0,14,10,0,0,0,0,0,6,16,7,0,0,0,0,0,11,15,0,0,0,0,7
0,1,12,12,11,5,0,0,0,5,15,8,12,15,2,0,0,7,12,0,9,16,3,0,0,3,15,9,10,16,7,0,0,0,5,11,16,16,8,0,0,0,0,0,1,14,10,0,0,0,7,8,11,16,2,0,0,0,12,16,13,6,0,0,9
0,1,10,16,13,4,0,0,0,9,13,4,11,15,0,0,0,0,0,0,4,16,1,0,0,0,0,3,13,11,0,0,0,0,0,7,16,14,2,0,0,0,0,0,4,15,8,0,0,0,5,4,5,14,9,0,0,0,15,16,14,9,0,0,3
0,0,8,16,8,0,0,0,0,0,10,16,16,0,0,0,0,0,6,10,16,4,0,0,0,0,0,0,16,2,0,0,0,0,0,7,13,0,0,0,0,0,1,14,8,0,0,0,0,0,13,16,16,16,14,0,0,0,8,12,11,8,14,0,2
0,0,3,12,6,0,0,0,0,0,16,16,16,8,0,0,0,0,14,14,7,15,0,0,0,0,5,16,15,8,0,0,0,0,0,13,16,0,0,0,0,2,14,10,13,7,0,0,0,3,15,7,9,15,0,0,0,0,5,12,11,5,0,0,8
0,1,11,13,5,0,0,0,0,7,12,7,15,4,0,0,0,8,4,0,8,12,0,0,0,2,6,0,0,13,0,0,0,0,0,1,8,3,0,0,0,0,0,11,8,0,0,0,0,1,12,16,13,8,2,0,0,2,12,12,12,12,12,0,2
0,3,13,16,13,1,0,0,0,11,11,8,14,8,0,0,0,5,1,0,5,14,0,0,0,0,0,0,5,11,0,0,0,0,0,1,14,3,0,0,0,0,0,9,11,0,0,0,0,0,11,16,15,12,7,0,0,1,8,8,9,13,7,0,2
0,3,14,16,12,2,0,0,0,11,12,4,12,8,0,0,0,1,1,0,12,7,0,0,0,0,0,9,16,6,0,0,0,0,0,4,11,16,2,0,0,0,0,0,0,8,11,0,0,1,8,6,7,14,6,0,0,2,11,16,12,8,0,0,3
0,0,8,10,16,13,0,0,0,4,16,16,16,16,1,0,0,6,16,12,8,15,5,0,0,6,16,1,0,12,8,0,0,5,13,0,1,14,6,0,0,4,14,2,12,16,2,0,0,2,16,16,16,8,0,0,0,0,9,12,7,0,0,0,0
0,0,6,15,8,0,0,0,0,0,13,15,16,4,0,0,0,0,15,6,15,13,0,0,0,0,15,12,16,16,1,0,0,0,3,11,7,12,6,0,0,0,0,0,0,6,11,0,0,0,1,4,2,7,14,0,0,0,7,14,16,15,9,0,9
0,2,16,14,2,0,0,0,0,6,14,12,14,0,0,0,0,7,12,8,15,0,0,0,0,2,5,8,12,0,0,0,0,0,0,15,1,0,0,0,0,0,5,13,0,0,0,0,0,1,13,14,9,8,2,0,0,2,14,15,12,16,10,0,2
0,1,5,11,13,5,0,0,0,10,16,16,15,3,0,0,0,10,13,0,0,0,0,0,0,10,14,8,8,3,0,0,0,2,12,13,13,16,5,0,0,0,0,0,0,11,14,0,0,0,2,11,8,14,15,0,0,0,2,11,16,14,6,0,5
0,1,10,12,12,2,0,0,0,7,15,8,12,8,0,0,0,0,2,0,13,7,0,0,0,0,0,7,16,4,0,0,0,0,0,5,13,13,1,0,0,0,0,0,1,11,9,0,0,0,8,4,6,14,8,0,0,2,12,16,14,9,1,0,3
0,0,14,14,13,15,5,0,0,0,16,14,12,6,0,0,0,4,16,11,8,1,0,0,0,3,16,16,16,9,0,0,0,0,0,0,5,16,2,0,0,0,0,0,3,16,4,0,0,0,6,9,15,14,0,0,0,0,12,16,10,2,0,0,5
0,0,0,1,16,14,1,0,0,0,0,10,16,14,0,0,0,3,9,16,16,3,0,0,0,5,16,16,16,4,0,0,0,0,0,14,16,4,0,0,0,0,0,9,16,8,0,0,0,0,0,5,16,12,0,0,0,0,0,2,15,14,2,0,1
0,1,9,12,12,2,0,0,0,7,12,4,11,10,0,0,0,0,1,0,11,8,0,0,0,0,2,15,16,2,0,0,0,0,2,8,12,12,0,0,0,0,0,0,1,16,6,0,0,1,16,3,6,16,6,0,0,1,11,15,12,4,0,0,3
0,0,2,12,16,10,0,0,0,0,11,12,11,16,4,0,0,0,1,1,1,16,4,0,0,0,0,0,8,14,2,0,0,0,0,4,15,5,0,0,0,0,8,16,5,0,0,0,0,5,16,16,14,9,1,0,0,0,3,8,10,15,3,0,2
0,0,6,15,12,10,8,0,0,0,11,16,16,16,7,0,0,1,14,11,12,6,0,0,0,4,16,16,16,13,0,0,0,2,11,8,10,16,2,0,0,0,0,0,1,16,1,0,0,0,0,11,13,15,0,0,0,0,4,16,12,1,0,0,5
0,0,7,12,8,0,0,0,0,0,15,16,15,2,0,0,0,0,11,16,16,2,0,0,0,0,12,16,16,4,0,0,0,0,12,16,16,7,0,0,0,0,9,16,16,11,0,0,0,0,11,16,16,13,0,0,0,0,2,8,12,6,0,0,1
0,0,12,16,12,2,0,0,0,12,15,9,15,12,0,0,0,12,7,0,8,16,0,0,0,3,1,0,8,14,0,0,0,0,0,4,16,6,0,0,0,0,1,13,15,1,0,0,0,0,11,16,13,12,8,0,0,0,11,12,12,15,14,0,2
0,0,14,14,16,15,0,0,0,4,16,13,12,8,0,0,0,6,13,0,0,0,0,0,0,5,16,12,4,0,0,0,0,3,14,16,14,0,0,0,0,0,0,0,12,12,0,0,0,0,10,8,15,10,0,0,0,0,15,16,11,1,0,0,5
0,0,0,2,13,10,0,0,0,0,0,6,16,4,0,0,0,0,0,14,12,0,0,0,0,0,11,15,1,6,1,0,0,6,16,5,6,16,6,0,4,15,16,12,14,16,2,0,1,8,12,13,16,10,0,0,0,0,0,4,15,4,0,0,4
0,0,6,15,16,14,0,0,0,2,11,5,7,16,2,0,0,0,0,0,4,16,0,0,0,0,8,13,16,6,0,0,0,0,5,13,16,14,3,0,0,0,0,14,8,14,4,0,0,0,6,16,2,0,0,0,0,0,7,9,1,0,0,0,7
0,0,6,16,16,16,12,0,0,0,6,12,11,15,16,1,0,0,0,0,0,15,12,0,0,0,1,11,12,16,3,0,0,0,3,16,16,16,4,0,0,0,0,9,16,13,3,0,0,0,1,16,9,0,0,0,0,0,7,15,4,0,0,0,7
0,0,9,15,7,1,0,0,0,5,16,7,12,14,0,0,0,10,10,0,8,16,0,0,0,6,12,0,5,16,4,0,0,0,12,13,15,16,3,0,0,0,0,0,1,13,10,0,0,0,2,4,5,13,11,0,0,0,8,16,12,8,1,0,9
0,1,7,12,10,1,0,0,0,1,14,16,16,12,0,0,0,0,12,16,16,14,0,0,0,0,7,16,16,14,1,0,0,0,5,16,16,13,0,0,0,0,7,16,16,14,0,0,0,1,14,16,16,15,2,0,0,1,8,12,10,8,0,0,1
0,0,4,14,13,4,0,0,0,0,13,14,6,15,0,0,0,0,4,15,8,16,0,0,0,0,0,3,14,14,0,0,0,0,0,9,16,12,0,0,0,0,8,15,4,15,3,0,0,0,15,8,4,14,7,0,0,0,4,13,13,12,2,0,8
0,0,6,13,12,4,0,0,0,2,16,9,12,13,0,0,0,0,9,0,13,10,0,0,0,0,0,6,16,4,0,0,0,0,0,0,8,14,1,0,0,0,0,0,0,14,9,0,0,0,4,9,5,10,13,0,0,0,7,12,13,12,5,0,3
0,1,15,16,14,2,0,0,0,1,11,12,16,8,0,0,0,0,0,5,16,4,0,0,0,0,2,15,16,3,0,0,0,0,4,16,16,14,4,0,0,0,5,16,12,16,7,0,0,0,11,11,0,0,0,0,0,0,16,6,0,0,0,0,7
0,0,11,16,13,12,3,0,0,3,16,11,8,8,1,0,0,5,16,9,9,1,0,0,0,8,16,16,16,6,0,0,0,6,11,3,9,11,0,0,0,0,0,0,4,12,0,0,0,0,10,14,11,16,0,0,0,0,9,12,12,6,0,0,5
0,0,4,6,14,14,1,0,0,0,16,16,16,16,5,0,0,3,16,7,3,12,8,0,0,4,16,0,0,9,8,0,0,4,16,0,0,8,8,0,0,1,15,1,1,13,7,0,0,0,14,13,15,12,0,0,0,0,6,14,14,4,0,0,0
0,0,5,15,12,2,0,0,0,0,7,16,16,1,0,0,0,0,10,16,16,6,0,0,0,0,11,16,16,2,0,0,0,0,7,16,16,3,0,0,0,0,7,16,16,7,0,0,0,0,8,16,16,8,0,0,0,0,12,16,13,3,0,0,1
0,1,13,14,6,0,0,0,0,3,16,9,15,4,0,0,0,2,16,8,15,4,0,0,0,0,0,0,16,4,0,0,0,0,0,6,12,0,0,0,0,0,0,14,6,0,0,0,0,0,14,16,9,6,4,0,0,2,11,12,12,12,12,0,2
0,0,0,8,15,0,0,0,0,0,0,16,10,0,0,0,0,0,4,16,4,0,0,0,0,0,12,12,0,0,0,0,0,9,16,5,7,14,0,0,3,16,16,13,16,13,0,0,1,7,9,15,16,7,0,0,0,0,0,12,14,2,0,0,4
0,0,0,5,16,2,0,0,0,0,0,12,14,0,0,0,0,0,4,16,5,0,0,0,0,1,12,12,0,4,6,0,0,8,16,3,2,16,10,0,2,16,16,16,15,16,2,0,1,4,7,11,16,11,0,0,0,0,0,7,16,4,0,0,4
0,0,8,15,11,4,0,0,0,7,15,13,14,16,2,0,0,8,14,0,10,16,4,0,0,0,14,15,16,12,1,0,0,0,9,16,13,1,0,0,0,0,14,16,11,0,0,0,0,0,15,16,16,2,0,0,0,0,8,16,15,3,0,0,8
0,0,9,12,9,0,0,0,0,0,16,16,16,4,0,0,0,0,13,16,16,4,0,0,0,0,12,16,16,2,0,0,0,0,12,16,16,4,0,0,0,0,13,16,16,4,0,0,0,0,16,16,16,9,0,0,0,0,4,8,10,4,0,0,1
0,0,7,12,14,7,0,0,0,0,12,11,12,16,0,0,0,0,0,2,4,12,0,0,0,0,0,14,15,14,1,0,0,0,0,12,15,15,6,0,0,0,0,12,8,1,1,0,0,0,5,16,1,0,0,0,0,0,7,7,0,0,0,0,7
0,0,3,14,13,2,0,0,0,0,16,14,14,11,0,0,0,7,15,2,1,16,1,0,0,5,12,0,0,12,8,0,0,8,10,0,0,11,8,0,0,1,15,0,0,8,11,0,0,0,11,10,7,15,6,0,0,0,3,12,16,11,1,0,0
0,1,14,13,9,2,0,0,0,2,16,16,16,14,2,0,0,0,14,10,3,16,3,0,0,0,5,15,14,13,0,0,0,0,1,15,15,3,0,0,0,0,8,16,16,2,0,0,0,0,16,13,16,8,0,0,0,0,12,12,9,2,0,0,8
0,0,9,16,4,0,0,0,0,0,14,14,13,7,0,0,0,4,15,12,16,16,5,0,0,4,12,7,8,14,8,0,0,7,12,0,0,12,8,0,0,5,13,0,0,13,8,0,0,2,16,12,15,16,5,0,0,0,9,14,12,8,0,0,0
0,0,8,14,10,2,0,0,0,0,15,14,11,13,0,0,0,0,0,0,5,16,1,0,0,0,0,0,11,14,0,0,0,0,0,0,3,15,3,0,0,0,0,0,0,9,13,0,0,0,3,9,8,15,11,0,0,0,6,16,14,7,1,0,3
0,0,0,8,16,1,0,0,0,0,0,14,16,2,0,0,0,0,3,15,13,0,0,0,0,0,9,16,3,3,1,0,0,1,14,11,4,16,7,0,1,12,16,14,14,16,2,0,1,11,12,14,16,11,0,0,0,0,0,9,16,5,0,0,4
0,0,0,2,13,7,0,0,0,0,0,9,15,3,0,0,0,0,2,14,10,0,0,0,0,0,13,13,2,6,0,0,0,8,15,2,14,14,0,0,4,15,16,16,16,12,0,0,1,4,8,10,16,7,0,0,0,0,0,5,16,6,0,0,4
0,0,0,4,15,0,0,0,0,0,0,11,13,0,0,0,0,0,1,15,7,0,0,0,0,0,11,11,0,0,0,0,0,2,16,2,11,8,0,0,2,13,14,10,16,8,0,0,2,6,12,15,16,4,0,0,0,0,0,5,14,1,0,0,4
0,0,8,16,15,11,0,0,0,0,5,7,11,16,3,0,0,0,0,0,9,13,0,0,0,0,7,15,15,5,0,0,0,0,8,14,16,14,4,0,0,0,0,10,9,4,1,0,0,0,4,14,1,0,0,0,0,0,10,7,0,0,0,0,7
0,0,0,0,10,13,2,0,0,0,0,4,16,16,2,0,0,0,0,10,16,16,2,0,0,1,13,16,16,16,4,0,0,5,12,10,16,16,0,0,0,0,0,0,15,16,1,0,0,0,0,0,14,16,5,0,0,0,0,0,11,16,6,0,1
0,0,4,12,10,3,0,0,0,0,9,16,16,5,0,0,0,0,10,16,16,3,0,0,0,0,12,16,16,3,0,0,0,0,4,16,15,2,0,0,0,0,7,16,16,4,0,0,0,0,8,16,16,6,0,0,0,0,6,12,9,4,0,0,1
0,0,5,14,0,0,0,0,0,0,12,14,0,0,0,0,0,0,15,12,0,0,0,0,0,1,16,9,5,2,0,0,0,5,16,16,16,15,2,0,0,7,16,15,10,16,9,0,0,1,15,13,13,16,5,0,0,0,5,13,13,9,0,0,6
0,0,8,15,12,2,0,0,0,4,16,13,11,12,1,0,0,9,14,1,13,15,2,0,0,9,15,0,14,15,0,0,0,2,15,16,16,16,0,0,0,0,1,4,4,16,4,0,0,0,4,8,4,16,5,0,0,0,5,14,16,15,5,0,9
0,1,12,15,16,9,0,0,0,2,16,16,12,9,0,0,0,6,14,1,0,0,0,0,0,7,15,5,1,0,0,0,0,7,16,16,12,0,0,0,0,0,4,4,15,4,0,0,0,0,8,5,16,6,0,0,0,0,13,16,12,1,0,0,5
0,0,15,14,14,15,10,0,0,0,16,8,11,10,6,0,0,5,14,0,0,0,0,0,0,8,16,16,16,4,0,0,0,4,14,9,12,12,0,0,0,0,0,0,5,15,0,0,0,0,11,4,11,9,0,0,0,0,14,16,14,1,0,0,5
0,2,14,12,16,13,1,0,0,4,16,15,4,10,7,0,0,2,16,5,2,14,2,0,0,0,9,12,14,6,0,0,0,0,2,16,11,0,0,0,0,0,11,13,12,0,0,0,0,2,13,0,15,0,0,0,0,2,14,15,10,0,0,0,8
0,0,0,2,16,6,0,0,0,0,0,6,16,2,0,0,0,0,0,13,13,0,0,0,0,0,6,16,4,9,4,0,0,3,15,10,4,16,6,0,2,15,16,16,14,16,5,0,1,8,13,16,16,15,0,0,0,0,0,2,16,9,0,0,4
0,0,0,7,15,6,0,0,0,0,10,13,14,13,0,0,0,2,13,0,12,6,0,0,0,0,2,3,12,1,0,0,0,0,1,15,3,0,0,0,0,2,13,8,0,0,0,0,0,10,16,14,12,8,0,0,0,2,4,7,9,14,0,0,2
0,1,8,15,16,11,1,0,0,5,16,13,10,13,7,0,0,4,13,0,0,9,8,0,0,1,13,8,6,15,4,0,0,0,2,15,16,9,0,0,0,0,8,14,15,8,0,0,0,0,14,8,9,14,0,0,0,0,11,16,14,8,0,0,8
0,0,6,9,16,10,1,0,0,2,15,15,9,15,8,0,0,6,16,1,0,12,8,0,0,0,14,13,14,12,2,0,0,0,4,16,15,1,0,0,0,0,11,11,16,3,0,0,0,2,16,8,13,14,0,0,0,0,8,16,12,10,0,0,8
0,0,9,16,13,2,0,0,0,3,16,9,12,12,0,0,0,4,16,0,0,16,0,0,0,1,8,0,2,16,0,0,0,0,0,0,5,13,0,0,0,0,0,1,11,9,0,0,0,0,4,11,16,10,7,0,0,0,9,12,8,9,13,0,2
0,0,5,14,16,14,1,0,0,2,15,4,7,16,1,0,0,0,5,0,12,12,0,0,0,0,0,6,16,3,0,0,0,0,0,0,7,15,1,0,0,0,0,0,2,16,2,0,0,0,1,4,8,16,4,0,0,0,8,15,13,8,0,0,3
0,0,7,15,13,3,0,0,0,0,16,16,16,16,1,0,0,5,15,7,7,16,5,0,0,8,12,0,0,15,5,0,0,6,16,0,0,13,7,0,0,5,16,1,2,16,4,0,0,3,16,9,14,15,0,0,0,0,9,13,12,3,0,0,0
0,0,0,7,12,7,0,0,0,0,13,13,13,12,0,0,0,3,12,0,9,9,0,0,0,0,0,7,16,9,0,0,0,0,0,2,8,16,0,0,0,0,0,0,1,15,3,0,0,0,0,12,9,15,0,0,0,0,1,12,15,5,0,0,3
0,0,7,14,0,0,0,0,0,0,12,15,0,0,0,0,0,0,16,9,0,0,0,0,0,1,15,7,2,0,0,0,0,1,16,16,15,10,2,0,0,3,16,12,4,14,12,0,0,0,12,10,1,14,9,0,0,0,5,16,16,11,3,0,6
0,0,9,15,16,10,0,0,0,0,16,16,16,16,4,0,0,0,14,11,14,16,2,0,0,0,7,16,16,7,0,0,0,0,10,16,11,0,0,0,0,2,16,15,14,1,0,0,0,4,16,14,16,4,0,0,0,0,9,15,13,1,0,0,8
0,1,14,16,16,12,1,0,0,0,13,8,4,4,0,0,0,0,12,4,0,0,0,0,0,0,8,16,16,9,0,0,0,0,4,7,5,14,0,0,0,0,0,0,0,13,0,0,0,0,5,0,3,15,0,0,0,2,14,16,14,7,0,0,5
0,0,0,13,7,0,0,0,0,5,14,16,16,8,0,0,0,12,10,0,6,16,0,0,0,2,14,12,5,16,3,0,0,0,0,11,16,11,0,0,0,0,2,15,9,16,5,0,0,0,10,14,4,13,12,0,0,0,1,9,14,16,11,0,8
0,0,7,12,14,6,0,0,0,7,16,14,14,6,0,0,0,5,16,10,3,0,0,0,0,6,16,16,16,6,0,0,0,3,7,4,10,14,0,0,0,0,0,0,10,15,1,0,0,0,2,15,16,8,0,0,0,0,5,16,9,0,0,0,5
0,0,5,15,2,0,0,0,0,0,15,16,16,13,2,0,0,4,16,16,14,16,8,0,0,7,12,0,0,8,8,0,0,4,12,0,0,8,8,0,0,4,15,0,0,9,7,0,0,1,15,5,7,15,4,0,0,0,5,13,12,7,0,0,0
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gitextract_h9sfpovp/ ├── .gitignore ├── LICENSE ├── README.md ├── napkin_ml/ │ ├── __init__.py │ ├── data/ │ │ ├── digits.csv │ │ ├── iris.csv │ │ └── temp_linkoping.txt │ ├── examples/ │ │ ├── __init__.py │ │ ├── kmeans.py │ │ ├── knn.py │ │ ├── lda.py │ │ ├── linear_regression.py │ │ ├── logistic_regression.py │ │ ├── mlp.py │ │ └── pca.py │ ├── models.py │ └── utils/ │ ├── __init__.py │ └── misc.py ├── requirements.txt └── setup.py
SYMBOL INDEX (37 symbols across 9 files)
FILE: napkin_ml/examples/kmeans.py
function main (line 8) | def main():
FILE: napkin_ml/examples/knn.py
function main (line 8) | def main():
FILE: napkin_ml/examples/lda.py
function main (line 8) | def main():
FILE: napkin_ml/examples/linear_regression.py
function main (line 10) | def main():
FILE: napkin_ml/examples/logistic_regression.py
function main (line 10) | def main():
FILE: napkin_ml/examples/mlp.py
function main (line 8) | def main():
FILE: napkin_ml/examples/pca.py
function main (line 12) | def main():
FILE: napkin_ml/models.py
function softmax (line 8) | def softmax(x):
class LinearRegression (line 13) | class LinearRegression:
method fit (line 14) | def fit(self, X, y):
method predict (line 16) | def predict(self, X):
class KNN (line 20) | class KNN:
method predict (line 21) | def predict(self, k, Xt, X, y):
class PCA (line 27) | class PCA:
method transform (line 28) | def transform(self, X, dim):
class LDA (line 34) | class LDA:
method fit (line 35) | def fit(self, X, y):
method predict (line 39) | def predict(self, X):
class LogisticRegression (line 43) | class LogisticRegression:
method fit (line 44) | def fit(self, X, y, n_iter=4000, lr=0.01):
method predict (line 48) | def predict(self, X):
class MLP (line 52) | class MLP:
method fit (line 53) | def fit(self, X, y, n_epochs=4000, lr=0.01, n_units=10):
method predict (line 61) | def predict(self, X):
class KMeans (line 65) | class KMeans:
method fit (line 66) | def fit(self, X, k, n_iter=200):
FILE: napkin_ml/utils/misc.py
function normalize (line 9) | def normalize(X, axis=-1, order=2):
function min_max_scaler (line 15) | def min_max_scaler(X):
function train_test_split (line 29) | def train_test_split(X, y, test_size=0.5, shuffle=True, seed=None):
function shuffle_data (line 41) | def shuffle_data(X, y, seed=None):
function load_regression (line 49) | def load_regression():
function load_iris (line 57) | def load_iris():
function load_digits (line 74) | def load_digits():
class Plot (line 82) | class Plot():
method __init__ (line 83) | def __init__(self):
method _transform (line 86) | def _transform(self, X, dim):
method plot_in_2d (line 93) | def plot_in_2d(self, X, y=None, title=None, accuracy=None, legend_labe...
Condensed preview — 20 files, each showing path, character count, and a content snippet. Download the .json file or copy for the full structured content (599K chars).
[
{
"path": ".gitignore",
"chars": 76,
"preview": "*~\n\\.DS_STORE\nbuild/\ndist/\n*egg-info*\n*__pycache__/\n*.py[cod]\n*eggs*\n*\\.png\n"
},
{
"path": "LICENSE",
"chars": 1074,
"preview": "MIT License\n\nCopyright (c) 2017 Erik Linder-Norén\n\nPermission is hereby granted, free of charge, to any person obtaining"
},
{
"path": "README.md",
"chars": 4415,
"preview": "# NapkinML\n\n## About\nPocket-sized implementations of machine learning models, most of which will fit in a tweet.\n\n## Tab"
},
{
"path": "napkin_ml/__init__.py",
"chars": 22,
"preview": "from .models import *\n"
},
{
"path": "napkin_ml/data/digits.csv",
"chars": 563639,
"preview": "0,1,6,15,12,1,0,0,0,7,16,6,6,10,0,0,0,8,16,2,0,11,2,0,0,5,16,3,0,5,7,0,0,7,13,3,0,8,7,0,0,4,12,0,1,13,5,0,0,0,14,9,15,9,"
},
{
"path": "napkin_ml/data/iris.csv",
"chars": 4550,
"preview": "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,"
},
{
"path": "napkin_ml/data/temp_linkoping.txt",
"chars": 6025,
"preview": "time\ttemp\n0.00273224\t0.1\n0.005464481\t-4.5\n0.008196721\t-6.3\n0.010928962\t-9.6\n0.013661202\t-9.9\n0.016393443\t-17.1\n0.0191256"
},
{
"path": "napkin_ml/examples/__init__.py",
"chars": 0,
"preview": ""
},
{
"path": "napkin_ml/examples/kmeans.py",
"chars": 423,
"preview": "from __future__ import print_function\nimport numpy as np\nimport matplotlib.pyplot as plt\n\nfrom napkin_ml import KMeans, "
},
{
"path": "napkin_ml/examples/knn.py",
"chars": 680,
"preview": "from __future__ import print_function\nimport numpy as np\nimport matplotlib.pyplot as plt\n\nfrom napkin_ml import KNN, PCA"
},
{
"path": "napkin_ml/examples/lda.py",
"chars": 749,
"preview": "from __future__ import print_function\nimport numpy as np\nimport matplotlib.pyplot as plt\n\nfrom napkin_ml import LDA, PCA"
},
{
"path": "napkin_ml/examples/linear_regression.py",
"chars": 1312,
"preview": "from __future__ import print_function\nimport numpy as np\nimport sys\nimport matplotlib.pyplot as plt\n\nfrom napkin_ml.util"
},
{
"path": "napkin_ml/examples/logistic_regression.py",
"chars": 831,
"preview": "from __future__ import print_function\nimport numpy as np\nimport matplotlib.pyplot as plt\nimport pandas as pd\n\nfrom napki"
},
{
"path": "napkin_ml/examples/mlp.py",
"chars": 976,
"preview": "from __future__ import print_function\nimport numpy as np\nimport matplotlib.pyplot as plt\n\nfrom napkin_ml import MLP, PCA"
},
{
"path": "napkin_ml/examples/pca.py",
"chars": 1272,
"preview": "from __future__ import print_function\nfrom sklearn import datasets\nimport matplotlib.pyplot as plt\nimport matplotlib.cm "
},
{
"path": "napkin_ml/models.py",
"chars": 2164,
"preview": "import numpy as np\nimport random\nfrom scipy.special import expit as sigmoid\nfrom scipy.spatial.distance import cdist\nfro"
},
{
"path": "napkin_ml/utils/__init__.py",
"chars": 20,
"preview": "from .misc import *\n"
},
{
"path": "napkin_ml/utils/misc.py",
"chars": 3602,
"preview": "import progressbar\nfrom mpl_toolkits.mplot3d import Axes3D\nimport matplotlib.pyplot as plt\nimport matplotlib.cm as cmx\ni"
},
{
"path": "requirements.txt",
"chars": 42,
"preview": "matplotlib\nnumpy\nscipy\nprogressbar\npandas\n"
},
{
"path": "setup.py",
"chars": 1014,
"preview": "from setuptools import setup, find_packages\nfrom codecs import open\nfrom os import path\n\n__version__ = '0.0.1'\n\nhere = p"
}
]
About this extraction
This page contains the full source code of the eriklindernoren/NapkinML GitHub repository, extracted and formatted as plain text for AI agents and large language models (LLMs). The extraction includes 20 files (579.0 KB), approximately 509.6k tokens, and a symbol index with 37 extracted functions, classes, methods, constants, and types. Use this with OpenClaw, Claude, ChatGPT, Cursor, Windsurf, or any other AI tool that accepts text input. You can copy the full output to your clipboard or download it as a .txt file.
Extracted by GitExtract — free GitHub repo to text converter for AI. Built by Nikandr Surkov.