# Notebook from LaurestinusV/CSCI-E-96
Path: notebooks/.ipynb_checkpoints/Ex 1-1-checkpoint.ipynb

# Assignment 01 - Pitfalls in Data Mining
## CSCI E-96

The goal of data mining is to find important relationships in large complex datasets. These dataset typically contain a large number of variables. The **high-dimensional** nature of the data leads to some commonly encountered pitfalls which lead to incorrect inferences.

In this assignment you will gain a bit of experience with three important concepts in data mining:

1. **False Discovery Rate Control:** The goal of data mining is to find important relationships in large complex datasets. These dataset typically contain a large number of variables. The **high-dimensional** nature of the data leads to some commonly encountered pitfalls which lead to incorrect inferences. A related problem is cutting off a large-scale analysis when a desired relationship is 'found'. This practice of **p-value mining** often leads to unwarranted inferences. You will apply false discovery rate (FDR) control methods to address this problem.
2. **Key-Value Pairs:** Large scale data is typically managed using key-value (KV) pairs. The exercises in this assignment give you some experience working with KV pair data management.
3. **Map and Reduce Processes:** Much of large scale data mining requires use of a split-apply-combine approach. The data is split into manageable chunks, analytic transformations are applied, and the result combined or aggregated. A commonly used class of a split-apply-combine algorithm is MapReduce.

In order to keep the scope of this assignment manageable, you will use limited versions of KV pair management and MapReduce. Specifically, you will use common Python tools to implement these concepts rather than dedicated large scale analytic platforms. _____no_output_____## Multiple Hypothesis Tesing

Testing multiple hypothesis in high-dimensional data can be problematic. Exhaustively testing all pairwise relationships between variables in a data set is a commonly used, but generally misleading from of **multiple comparisons**. The chance of finding false significance, using such a **data dredging** approach, can be surprisingly high.

In this exercise you will perform multiple comparisons on only 20 **identically distributed independent (iid)** variables. Ideally, such tests should not find significant relationships, but the actual result is quite different.

To get started, execute the code in the cell below to load the required packages. _____no_output_____

import pandas as pd
import numpy as np
import numpy.random as nr
from scipy.stats import ttest_ind, f_oneway
from itertools import product, combinations
import matplotlib.pyplot as plt
import seaborn as sns

pd.set_option("display.max_rows", None, "display.max_columns", None)_____no_output_____

In this exercise you will apply a t-test to all pairwise combinations of identical Normally distributed variables. In this case, we will create a data set with 20 iid Normal distributions of 1000 samples each. Execute the code in the cell below to find this data and display the mean and variance of each variable.  _____no_output_____

ncolumns = 20
nr.seed(234)
normal_vars = nr.normal(size=(1000,ncolumns))
print('The means of the columns are\n', np.mean(normal_vars, axis = 0))
print('\nThe variances of the columns are\n', np.var(normal_vars, axis = 0))The means of the columns are
 [-1.16191649e-01  2.80829317e-02 -1.78516419e-02 -1.44691489e-02
  3.03718152e-02  1.20007442e-02 -9.58845606e-05  1.98662580e-03
  4.94154934e-02 -4.11640866e-02 -6.32977862e-03 -5.93868192e-02
 -2.56373595e-02  1.43568791e-02 -1.44725765e-02 -1.37023955e-02
  1.80622439e-02  5.87029691e-02 -2.02650514e-02 -1.56346106e-02]

The variances of the columns are
 [0.94834508 1.04744241 1.0258018  0.96977571 1.0089001  1.04113864
 1.00657222 0.99192594 1.04713487 1.04329434 1.04023108 0.96791346
 1.03706907 1.07179865 1.01431404 1.05060289 1.02054329 0.9686211
 1.02810287 0.99521555]

Notice that means and variances are close to 0.0 and 1.0 respectively. As expected, there is not much difference between these variables.

How many of these t-tests will show **significance** at the 0.05 cut-off level? There are 380 pairwise combinations, so we expect to find a number of falsely significant test results at this level. To find out, complete and execute the code in the cell below to filter the test results and print those that show significance. _____no_output_____### Creating a hash

The goal of this exercise is to compute pairwise hypothesis tests of the differences in means for each of the iid Normal vectors. As an intermediate step you will create a Pandas data frame using a hash of the keys of the vectors. The data frame will contain the **key-value**, $(K,V)$, pairs. Each key must represent an index for the two vectors used to compute the test statistic. The keys will then be used to index the results of these hypothesis tests.

The question is, how can we create a hash from the keys for the pair of vectors? In this case to we will use a simple, but far from optimal hash. For the two vector indicies $i, j$, for some key and modulo, $m$, we will compute the hash as:

$$h(i,j) = (i + key*j) mod m$$

> **Computational Note:** The Pandas data frame is an efficient and reasonably scalable **hash table**. The hash function used depends on the type of the key; integer, string, etc. The resulting dictionary of key-value pairs, $(K,V)$, can therefore be access in far less than linear time, often about $O(log(N))$.

If you are not familiar with Python dictionaries you can find a short tutorial [here](https://www.tutorialspoint.com/python_data_structure/python_hash_table.htm), as well as many other places on the web._____no_output_____> **Exercise 1-1:** Given that our space of vectors is actually quite small, just 20, we do not need a sophisticated and scalable hash function. This hashed key will then be used to store and retrieve the values using a Python dictionary, in about $O(log(N))$ time.

> In this exercise you will test a simple hash function and its inverse. Examine the code below and notice that the hash function encodes the two indexes into a single integer by simple additional and multiplication. The modulo operation limits the size of the hash table. However, to keep things simple you will not need to implement any hash collision resolution mechanism. As a result, the size of the table is set much larger than required.

> To test this hash, do the following:
> 1. Create a function called hash function to compute the hash. The arguments to the function are $i$ and $j$, the `hash\_key` and the `modulo\_multiplier`. The defaults of the arguments are $hash\_key=1024$ and $modulo\_multiplier=32$. The modulo number is $hash\_key * modulo\_multiplier$, e.g. $modulo = 32,768$. The multiplier is the ratio of expected values stored, $n$, to the number of unique hash keys, $m$, e.g. the ratio $m/n$.
> 2. Using the Python [ittertools.combinations](https://docs.python.org/3/library/itertools.html#itertools.combinations) function create all unique pairwise combinations of indexes i and j. The arguments to this function are the indexes to the iid Normal vectors. The iterator is `range(ncolumns)` choose 2, since these comparisons are pairwise.
> 3. Within this loop call the hash with the values of $i$ and $j$ as arguments.
> 3. On a single line print the following; the values of i and j, the hash key value, but only if $i \le 6$. The restriction is to keep the printed output shorter.   _____no_output_____

def hash_function(i, j, hash_key=1024, modulo_multiplier=32):
    ## Put your code below.
    return ((i + hash_key) * j) % modulo_multiplier

count =0
hash = {}
harr = []
##h[(i,j)] = ((i + hash_key) * j ) % modulo_multiplier

for i,j in combinations(range(ncolumns), 2):
    ## if i <= 6:

        print( ' Count = ' + str(count))
        hash[(i,j)] = hash_function(i,j)
        harr.append( hash_function(i,j))

        print('i = ' + str(i) + '  j = ' + str(j) + '   hash = ' + str(hash) + '     Count hash = ' + str(count+1))
        count += 1
Count1 = 0
harr_u = np.unique(harr)
for u in harr_u:

    print('harr_unique(' + str(Count1) + '): ' + str(u) + ' COUNT: '+ str(Count1+1))
    Count1 += 1
## print (harr_u) Count = 0
i = 0  j = 1   hash = {(0, 1): 0}     Count hash = 1
 Count = 1
i = 0  j = 2   hash = {(0, 1): 0, (0, 2): 0}     Count hash = 2
 Count = 2
i = 0  j = 3   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0}     Count hash = 3
 Count = 3
i = 0  j = 4   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0}     Count hash = 4
 Count = 4
i = 0  j = 5   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0}     Count hash = 5
 Count = 5
i = 0  j = 6   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0}     Count hash = 6
 Count = 6
i = 0  j = 7   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0}     Count hash = 7
 Count = 7
i = 0  j = 8   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0}     Count hash = 8
 Count = 8
i = 0  j = 9   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0}     Count hash = 9
 Count = 9
i = 0  j = 10   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0}     Count hash = 10
 Count = 10
i = 0  j = 11   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0}     Count hash = 11
 Count = 11
i = 0  j = 12   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0}     Count hash = 12
 Count = 12
i = 0  j = 13   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0}     Count hash = 13
 Count = 13
i = 0  j = 14   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0}     Count hash = 14
 Count = 14
i = 0  j = 15   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0}     Count hash = 15
 Count = 15
i = 0  j = 16   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0}     Count hash = 16
 Count = 16
i = 0  j = 17   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0}     Count hash = 17
 Count = 17
i = 0  j = 18   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0}     Count hash = 18
 Count = 18
i = 0  j = 19   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0}     Count hash = 19
 Count = 19
i = 1  j = 2   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2}     Count hash = 20
 Count = 20
i = 1  j = 3   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3}     Count hash = 21
 Count = 21
i = 1  j = 4   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4}     Count hash = 22
 Count = 22
i = 1  j = 5   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5}     Count hash = 23
 Count = 23
i = 1  j = 6   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6}     Count hash = 24
 Count = 24
i = 1  j = 7   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7}     Count hash = 25
 Count = 25
i = 1  j = 8   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8}     Count hash = 26
 Count = 26
i = 1  j = 9   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9}     Count hash = 27
 Count = 27
i = 1  j = 10   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10}     Count hash = 28
 Count = 28
i = 1  j = 11   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11}     Count hash = 29
 Count = 29
i = 1  j = 12   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12}     Count hash = 30
 Count = 30
i = 1  j = 13   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13}     Count hash = 31
 Count = 31
i = 1  j = 14   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14}     Count hash = 32
 Count = 32
i = 1  j = 15   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15}     Count hash = 33
 Count = 33
i = 1  j = 16   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16}     Count hash = 34
 Count = 34
i = 1  j = 17   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17}     Count hash = 35
 Count = 35
i = 1  j = 18   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18}     Count hash = 36
 Count = 36
i = 1  j = 19   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19}     Count hash = 37
 Count = 37
i = 2  j = 3   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6}     Count hash = 38
 Count = 38
i = 2  j = 4   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8}     Count hash = 39
 Count = 39
i = 2  j = 5   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10}     Count hash = 40
 Count = 40
i = 2  j = 6   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12}     Count hash = 41
 Count = 41
i = 2  j = 7   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14}     Count hash = 42
 Count = 42
i = 2  j = 8   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16}     Count hash = 43
 Count = 43
i = 2  j = 9   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18}     Count hash = 44
 Count = 44
i = 2  j = 10   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20}     Count hash = 45
 Count = 45
i = 2  j = 11   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22}     Count hash = 46
 Count = 46
i = 2  j = 12   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24}     Count hash = 47
 Count = 47
i = 2  j = 13   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26}     Count hash = 48
 Count = 48
i = 2  j = 14   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28}     Count hash = 49
 Count = 49
i = 2  j = 15   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30}     Count hash = 50
 Count = 50
i = 2  j = 16   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0}     Count hash = 51
 Count = 51
i = 2  j = 17   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2}     Count hash = 52
 Count = 52
i = 2  j = 18   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4}     Count hash = 53
 Count = 53
i = 2  j = 19   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6}     Count hash = 54
 Count = 54
i = 3  j = 4   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12}     Count hash = 55
 Count = 55
i = 3  j = 5   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15}     Count hash = 56
 Count = 56
i = 3  j = 6   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18}     Count hash = 57
 Count = 57
i = 3  j = 7   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21}     Count hash = 58
 Count = 58
i = 3  j = 8   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24}     Count hash = 59
 Count = 59
i = 3  j = 9   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27}     Count hash = 60
 Count = 60
i = 3  j = 10   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30}     Count hash = 61
 Count = 61
i = 3  j = 11   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1}     Count hash = 62
 Count = 62
i = 3  j = 12   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4}     Count hash = 63
 Count = 63
i = 3  j = 13   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7}     Count hash = 64
 Count = 64
i = 3  j = 14   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10}     Count hash = 65
 Count = 65
i = 3  j = 15   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13}     Count hash = 66
 Count = 66
i = 3  j = 16   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16}     Count hash = 67
 Count = 67
i = 3  j = 17   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19}     Count hash = 68
 Count = 68
i = 3  j = 18   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22}     Count hash = 69
 Count = 69
i = 3  j = 19   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25}     Count hash = 70
 Count = 70
i = 4  j = 5   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20}     Count hash = 71
 Count = 71
i = 4  j = 6   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24}     Count hash = 72
 Count = 72
i = 4  j = 7   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28}     Count hash = 73
 Count = 73
i = 4  j = 8   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0}     Count hash = 74
 Count = 74
i = 4  j = 9   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4}     Count hash = 75
 Count = 75
i = 4  j = 10   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8}     Count hash = 76
 Count = 76
i = 4  j = 11   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12}     Count hash = 77
 Count = 77
i = 4  j = 12   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16}     Count hash = 78
 Count = 78
i = 4  j = 13   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20}     Count hash = 79
 Count = 79
i = 4  j = 14   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24}     Count hash = 80
 Count = 80
i = 4  j = 15   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28}     Count hash = 81
 Count = 81
i = 4  j = 16   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0}     Count hash = 82
 Count = 82
i = 4  j = 17   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4}     Count hash = 83
 Count = 83
i = 4  j = 18   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8}     Count hash = 84
 Count = 84
i = 4  j = 19   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12}     Count hash = 85
 Count = 85
i = 5  j = 6   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30}     Count hash = 86
 Count = 86
i = 5  j = 7   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3}     Count hash = 87
 Count = 87
i = 5  j = 8   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8}     Count hash = 88
 Count = 88
i = 5  j = 9   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13}     Count hash = 89
 Count = 89
i = 5  j = 10   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18}     Count hash = 90
 Count = 90
i = 5  j = 11   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23}     Count hash = 91
 Count = 91
i = 5  j = 12   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28}     Count hash = 92
 Count = 92
i = 5  j = 13   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1}     Count hash = 93
 Count = 93
i = 5  j = 14   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6}     Count hash = 94
 Count = 94
i = 5  j = 15   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11}     Count hash = 95
 Count = 95
i = 5  j = 16   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16}     Count hash = 96
 Count = 96
i = 5  j = 17   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21}     Count hash = 97
 Count = 97
i = 5  j = 18   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26}     Count hash = 98
 Count = 98
i = 5  j = 19   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31}     Count hash = 99
 Count = 99
i = 6  j = 7   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10}     Count hash = 100
 Count = 100
i = 6  j = 8   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16}     Count hash = 101
 Count = 101
i = 6  j = 9   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22}     Count hash = 102
 Count = 102
i = 6  j = 10   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28}     Count hash = 103
 Count = 103
i = 6  j = 11   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2}     Count hash = 104
 Count = 104
i = 6  j = 12   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8}     Count hash = 105
 Count = 105
i = 6  j = 13   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14}     Count hash = 106
 Count = 106
i = 6  j = 14   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20}     Count hash = 107
 Count = 107
i = 6  j = 15   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26}     Count hash = 108
 Count = 108
i = 6  j = 16   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0}     Count hash = 109
 Count = 109
i = 6  j = 17   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6}     Count hash = 110
 Count = 110
i = 6  j = 18   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12}     Count hash = 111
 Count = 111
i = 6  j = 19   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18}     Count hash = 112
 Count = 112
i = 7  j = 8   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24}     Count hash = 113
 Count = 113
i = 7  j = 9   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31}     Count hash = 114
 Count = 114
i = 7  j = 10   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6}     Count hash = 115
 Count = 115
i = 7  j = 11   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13}     Count hash = 116
 Count = 116
i = 7  j = 12   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20}     Count hash = 117
 Count = 117
i = 7  j = 13   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27}     Count hash = 118
 Count = 118
i = 7  j = 14   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2}     Count hash = 119
 Count = 119
i = 7  j = 15   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9}     Count hash = 120
 Count = 120
i = 7  j = 16   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16}     Count hash = 121
 Count = 121
i = 7  j = 17   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23}     Count hash = 122
 Count = 122
i = 7  j = 18   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30}     Count hash = 123
 Count = 123
i = 7  j = 19   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5}     Count hash = 124
 Count = 124
i = 8  j = 9   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8}     Count hash = 125
 Count = 125
i = 8  j = 10   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16}     Count hash = 126
 Count = 126
i = 8  j = 11   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24}     Count hash = 127
 Count = 127
i = 8  j = 12   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0}     Count hash = 128
 Count = 128
i = 8  j = 13   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8}     Count hash = 129
 Count = 129
i = 8  j = 14   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16}     Count hash = 130
 Count = 130
i = 8  j = 15   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24}     Count hash = 131
 Count = 131
i = 8  j = 16   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0}     Count hash = 132
 Count = 132
i = 8  j = 17   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8}     Count hash = 133
 Count = 133
i = 8  j = 18   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16}     Count hash = 134
 Count = 134
i = 8  j = 19   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24}     Count hash = 135
 Count = 135
i = 9  j = 10   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26}     Count hash = 136
 Count = 136
i = 9  j = 11   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3}     Count hash = 137
 Count = 137
i = 9  j = 12   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12}     Count hash = 138
 Count = 138
i = 9  j = 13   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21}     Count hash = 139
 Count = 139
i = 9  j = 14   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30}     Count hash = 140
 Count = 140
i = 9  j = 15   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7}     Count hash = 141
 Count = 141
i = 9  j = 16   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16}     Count hash = 142
 Count = 142
i = 9  j = 17   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25}     Count hash = 143
 Count = 143
i = 9  j = 18   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2}     Count hash = 144
 Count = 144
i = 9  j = 19   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11}     Count hash = 145
 Count = 145
i = 10  j = 11   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14}     Count hash = 146
 Count = 146
i = 10  j = 12   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24}     Count hash = 147
 Count = 147
i = 10  j = 13   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2}     Count hash = 148
 Count = 148
i = 10  j = 14   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12}     Count hash = 149
 Count = 149
i = 10  j = 15   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12, (10, 15): 22}     Count hash = 150
 Count = 150
i = 10  j = 16   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12, (10, 15): 22, (10, 16): 0}     Count hash = 151
 Count = 151
i = 10  j = 17   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12, (10, 15): 22, (10, 16): 0, (10, 17): 10}     Count hash = 152
 Count = 152
i = 10  j = 18   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12, (10, 15): 22, (10, 16): 0, (10, 17): 10, (10, 18): 20}     Count hash = 153
 Count = 153
i = 10  j = 19   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12, (10, 15): 22, (10, 16): 0, (10, 17): 10, (10, 18): 20, (10, 19): 30}     Count hash = 154
 Count = 154
i = 11  j = 12   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12, (10, 15): 22, (10, 16): 0, (10, 17): 10, (10, 18): 20, (10, 19): 30, (11, 12): 4}     Count hash = 155
 Count = 155
i = 11  j = 13   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12, (10, 15): 22, (10, 16): 0, (10, 17): 10, (10, 18): 20, (10, 19): 30, (11, 12): 4, (11, 13): 15}     Count hash = 156
 Count = 156
i = 11  j = 14   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12, (10, 15): 22, (10, 16): 0, (10, 17): 10, (10, 18): 20, (10, 19): 30, (11, 12): 4, (11, 13): 15, (11, 14): 26}     Count hash = 157
 Count = 157
i = 11  j = 15   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12, (10, 15): 22, (10, 16): 0, (10, 17): 10, (10, 18): 20, (10, 19): 30, (11, 12): 4, (11, 13): 15, (11, 14): 26, (11, 15): 5}     Count hash = 158
 Count = 158
i = 11  j = 16   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12, (10, 15): 22, (10, 16): 0, (10, 17): 10, (10, 18): 20, (10, 19): 30, (11, 12): 4, (11, 13): 15, (11, 14): 26, (11, 15): 5, (11, 16): 16}     Count hash = 159
 Count = 159
i = 11  j = 17   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12, (10, 15): 22, (10, 16): 0, (10, 17): 10, (10, 18): 20, (10, 19): 30, (11, 12): 4, (11, 13): 15, (11, 14): 26, (11, 15): 5, (11, 16): 16, (11, 17): 27}     Count hash = 160
 Count = 160
i = 11  j = 18   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12, (10, 15): 22, (10, 16): 0, (10, 17): 10, (10, 18): 20, (10, 19): 30, (11, 12): 4, (11, 13): 15, (11, 14): 26, (11, 15): 5, (11, 16): 16, (11, 17): 27, (11, 18): 6}     Count hash = 161
 Count = 161
i = 11  j = 19   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12, (10, 15): 22, (10, 16): 0, (10, 17): 10, (10, 18): 20, (10, 19): 30, (11, 12): 4, (11, 13): 15, (11, 14): 26, (11, 15): 5, (11, 16): 16, (11, 17): 27, (11, 18): 6, (11, 19): 17}     Count hash = 162
 Count = 162
i = 12  j = 13   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12, (10, 15): 22, (10, 16): 0, (10, 17): 10, (10, 18): 20, (10, 19): 30, (11, 12): 4, (11, 13): 15, (11, 14): 26, (11, 15): 5, (11, 16): 16, (11, 17): 27, (11, 18): 6, (11, 19): 17, (12, 13): 28}     Count hash = 163
 Count = 163
i = 12  j = 14   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12, (10, 15): 22, (10, 16): 0, (10, 17): 10, (10, 18): 20, (10, 19): 30, (11, 12): 4, (11, 13): 15, (11, 14): 26, (11, 15): 5, (11, 16): 16, (11, 17): 27, (11, 18): 6, (11, 19): 17, (12, 13): 28, (12, 14): 8}     Count hash = 164
 Count = 164
i = 12  j = 15   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12, (10, 15): 22, (10, 16): 0, (10, 17): 10, (10, 18): 20, (10, 19): 30, (11, 12): 4, (11, 13): 15, (11, 14): 26, (11, 15): 5, (11, 16): 16, (11, 17): 27, (11, 18): 6, (11, 19): 17, (12, 13): 28, (12, 14): 8, (12, 15): 20}     Count hash = 165
 Count = 165
i = 12  j = 16   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12, (10, 15): 22, (10, 16): 0, (10, 17): 10, (10, 18): 20, (10, 19): 30, (11, 12): 4, (11, 13): 15, (11, 14): 26, (11, 15): 5, (11, 16): 16, (11, 17): 27, (11, 18): 6, (11, 19): 17, (12, 13): 28, (12, 14): 8, (12, 15): 20, (12, 16): 0}     Count hash = 166
 Count = 166
i = 12  j = 17   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12, (10, 15): 22, (10, 16): 0, (10, 17): 10, (10, 18): 20, (10, 19): 30, (11, 12): 4, (11, 13): 15, (11, 14): 26, (11, 15): 5, (11, 16): 16, (11, 17): 27, (11, 18): 6, (11, 19): 17, (12, 13): 28, (12, 14): 8, (12, 15): 20, (12, 16): 0, (12, 17): 12}     Count hash = 167
 Count = 167
i = 12  j = 18   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12, (10, 15): 22, (10, 16): 0, (10, 17): 10, (10, 18): 20, (10, 19): 30, (11, 12): 4, (11, 13): 15, (11, 14): 26, (11, 15): 5, (11, 16): 16, (11, 17): 27, (11, 18): 6, (11, 19): 17, (12, 13): 28, (12, 14): 8, (12, 15): 20, (12, 16): 0, (12, 17): 12, (12, 18): 24}     Count hash = 168
 Count = 168
i = 12  j = 19   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12, (10, 15): 22, (10, 16): 0, (10, 17): 10, (10, 18): 20, (10, 19): 30, (11, 12): 4, (11, 13): 15, (11, 14): 26, (11, 15): 5, (11, 16): 16, (11, 17): 27, (11, 18): 6, (11, 19): 17, (12, 13): 28, (12, 14): 8, (12, 15): 20, (12, 16): 0, (12, 17): 12, (12, 18): 24, (12, 19): 4}     Count hash = 169
 Count = 169
i = 13  j = 14   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12, (10, 15): 22, (10, 16): 0, (10, 17): 10, (10, 18): 20, (10, 19): 30, (11, 12): 4, (11, 13): 15, (11, 14): 26, (11, 15): 5, (11, 16): 16, (11, 17): 27, (11, 18): 6, (11, 19): 17, (12, 13): 28, (12, 14): 8, (12, 15): 20, (12, 16): 0, (12, 17): 12, (12, 18): 24, (12, 19): 4, (13, 14): 22}     Count hash = 170
 Count = 170
i = 13  j = 15   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12, (10, 15): 22, (10, 16): 0, (10, 17): 10, (10, 18): 20, (10, 19): 30, (11, 12): 4, (11, 13): 15, (11, 14): 26, (11, 15): 5, (11, 16): 16, (11, 17): 27, (11, 18): 6, (11, 19): 17, (12, 13): 28, (12, 14): 8, (12, 15): 20, (12, 16): 0, (12, 17): 12, (12, 18): 24, (12, 19): 4, (13, 14): 22, (13, 15): 3}     Count hash = 171
 Count = 171
i = 13  j = 16   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12, (10, 15): 22, (10, 16): 0, (10, 17): 10, (10, 18): 20, (10, 19): 30, (11, 12): 4, (11, 13): 15, (11, 14): 26, (11, 15): 5, (11, 16): 16, (11, 17): 27, (11, 18): 6, (11, 19): 17, (12, 13): 28, (12, 14): 8, (12, 15): 20, (12, 16): 0, (12, 17): 12, (12, 18): 24, (12, 19): 4, (13, 14): 22, (13, 15): 3, (13, 16): 16}     Count hash = 172
 Count = 172
i = 13  j = 17   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12, (10, 15): 22, (10, 16): 0, (10, 17): 10, (10, 18): 20, (10, 19): 30, (11, 12): 4, (11, 13): 15, (11, 14): 26, (11, 15): 5, (11, 16): 16, (11, 17): 27, (11, 18): 6, (11, 19): 17, (12, 13): 28, (12, 14): 8, (12, 15): 20, (12, 16): 0, (12, 17): 12, (12, 18): 24, (12, 19): 4, (13, 14): 22, (13, 15): 3, (13, 16): 16, (13, 17): 29}     Count hash = 173
 Count = 173
i = 13  j = 18   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12, (10, 15): 22, (10, 16): 0, (10, 17): 10, (10, 18): 20, (10, 19): 30, (11, 12): 4, (11, 13): 15, (11, 14): 26, (11, 15): 5, (11, 16): 16, (11, 17): 27, (11, 18): 6, (11, 19): 17, (12, 13): 28, (12, 14): 8, (12, 15): 20, (12, 16): 0, (12, 17): 12, (12, 18): 24, (12, 19): 4, (13, 14): 22, (13, 15): 3, (13, 16): 16, (13, 17): 29, (13, 18): 10}     Count hash = 174
 Count = 174
i = 13  j = 19   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12, (10, 15): 22, (10, 16): 0, (10, 17): 10, (10, 18): 20, (10, 19): 30, (11, 12): 4, (11, 13): 15, (11, 14): 26, (11, 15): 5, (11, 16): 16, (11, 17): 27, (11, 18): 6, (11, 19): 17, (12, 13): 28, (12, 14): 8, (12, 15): 20, (12, 16): 0, (12, 17): 12, (12, 18): 24, (12, 19): 4, (13, 14): 22, (13, 15): 3, (13, 16): 16, (13, 17): 29, (13, 18): 10, (13, 19): 23}     Count hash = 175
 Count = 175
i = 14  j = 15   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12, (10, 15): 22, (10, 16): 0, (10, 17): 10, (10, 18): 20, (10, 19): 30, (11, 12): 4, (11, 13): 15, (11, 14): 26, (11, 15): 5, (11, 16): 16, (11, 17): 27, (11, 18): 6, (11, 19): 17, (12, 13): 28, (12, 14): 8, (12, 15): 20, (12, 16): 0, (12, 17): 12, (12, 18): 24, (12, 19): 4, (13, 14): 22, (13, 15): 3, (13, 16): 16, (13, 17): 29, (13, 18): 10, (13, 19): 23, (14, 15): 18}     Count hash = 176
 Count = 176
i = 14  j = 16   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12, (10, 15): 22, (10, 16): 0, (10, 17): 10, (10, 18): 20, (10, 19): 30, (11, 12): 4, (11, 13): 15, (11, 14): 26, (11, 15): 5, (11, 16): 16, (11, 17): 27, (11, 18): 6, (11, 19): 17, (12, 13): 28, (12, 14): 8, (12, 15): 20, (12, 16): 0, (12, 17): 12, (12, 18): 24, (12, 19): 4, (13, 14): 22, (13, 15): 3, (13, 16): 16, (13, 17): 29, (13, 18): 10, (13, 19): 23, (14, 15): 18, (14, 16): 0}     Count hash = 177
 Count = 177
i = 14  j = 17   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12, (10, 15): 22, (10, 16): 0, (10, 17): 10, (10, 18): 20, (10, 19): 30, (11, 12): 4, (11, 13): 15, (11, 14): 26, (11, 15): 5, (11, 16): 16, (11, 17): 27, (11, 18): 6, (11, 19): 17, (12, 13): 28, (12, 14): 8, (12, 15): 20, (12, 16): 0, (12, 17): 12, (12, 18): 24, (12, 19): 4, (13, 14): 22, (13, 15): 3, (13, 16): 16, (13, 17): 29, (13, 18): 10, (13, 19): 23, (14, 15): 18, (14, 16): 0, (14, 17): 14}     Count hash = 178
 Count = 178
i = 14  j = 18   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12, (10, 15): 22, (10, 16): 0, (10, 17): 10, (10, 18): 20, (10, 19): 30, (11, 12): 4, (11, 13): 15, (11, 14): 26, (11, 15): 5, (11, 16): 16, (11, 17): 27, (11, 18): 6, (11, 19): 17, (12, 13): 28, (12, 14): 8, (12, 15): 20, (12, 16): 0, (12, 17): 12, (12, 18): 24, (12, 19): 4, (13, 14): 22, (13, 15): 3, (13, 16): 16, (13, 17): 29, (13, 18): 10, (13, 19): 23, (14, 15): 18, (14, 16): 0, (14, 17): 14, (14, 18): 28}     Count hash = 179
 Count = 179
i = 14  j = 19   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12, (10, 15): 22, (10, 16): 0, (10, 17): 10, (10, 18): 20, (10, 19): 30, (11, 12): 4, (11, 13): 15, (11, 14): 26, (11, 15): 5, (11, 16): 16, (11, 17): 27, (11, 18): 6, (11, 19): 17, (12, 13): 28, (12, 14): 8, (12, 15): 20, (12, 16): 0, (12, 17): 12, (12, 18): 24, (12, 19): 4, (13, 14): 22, (13, 15): 3, (13, 16): 16, (13, 17): 29, (13, 18): 10, (13, 19): 23, (14, 15): 18, (14, 16): 0, (14, 17): 14, (14, 18): 28, (14, 19): 10}     Count hash = 180
 Count = 180
i = 15  j = 16   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12, (10, 15): 22, (10, 16): 0, (10, 17): 10, (10, 18): 20, (10, 19): 30, (11, 12): 4, (11, 13): 15, (11, 14): 26, (11, 15): 5, (11, 16): 16, (11, 17): 27, (11, 18): 6, (11, 19): 17, (12, 13): 28, (12, 14): 8, (12, 15): 20, (12, 16): 0, (12, 17): 12, (12, 18): 24, (12, 19): 4, (13, 14): 22, (13, 15): 3, (13, 16): 16, (13, 17): 29, (13, 18): 10, (13, 19): 23, (14, 15): 18, (14, 16): 0, (14, 17): 14, (14, 18): 28, (14, 19): 10, (15, 16): 16}     Count hash = 181
 Count = 181
i = 15  j = 17   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12, (10, 15): 22, (10, 16): 0, (10, 17): 10, (10, 18): 20, (10, 19): 30, (11, 12): 4, (11, 13): 15, (11, 14): 26, (11, 15): 5, (11, 16): 16, (11, 17): 27, (11, 18): 6, (11, 19): 17, (12, 13): 28, (12, 14): 8, (12, 15): 20, (12, 16): 0, (12, 17): 12, (12, 18): 24, (12, 19): 4, (13, 14): 22, (13, 15): 3, (13, 16): 16, (13, 17): 29, (13, 18): 10, (13, 19): 23, (14, 15): 18, (14, 16): 0, (14, 17): 14, (14, 18): 28, (14, 19): 10, (15, 16): 16, (15, 17): 31}     Count hash = 182
 Count = 182
i = 15  j = 18   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12, (10, 15): 22, (10, 16): 0, (10, 17): 10, (10, 18): 20, (10, 19): 30, (11, 12): 4, (11, 13): 15, (11, 14): 26, (11, 15): 5, (11, 16): 16, (11, 17): 27, (11, 18): 6, (11, 19): 17, (12, 13): 28, (12, 14): 8, (12, 15): 20, (12, 16): 0, (12, 17): 12, (12, 18): 24, (12, 19): 4, (13, 14): 22, (13, 15): 3, (13, 16): 16, (13, 17): 29, (13, 18): 10, (13, 19): 23, (14, 15): 18, (14, 16): 0, (14, 17): 14, (14, 18): 28, (14, 19): 10, (15, 16): 16, (15, 17): 31, (15, 18): 14}     Count hash = 183
 Count = 183
i = 15  j = 19   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12, (10, 15): 22, (10, 16): 0, (10, 17): 10, (10, 18): 20, (10, 19): 30, (11, 12): 4, (11, 13): 15, (11, 14): 26, (11, 15): 5, (11, 16): 16, (11, 17): 27, (11, 18): 6, (11, 19): 17, (12, 13): 28, (12, 14): 8, (12, 15): 20, (12, 16): 0, (12, 17): 12, (12, 18): 24, (12, 19): 4, (13, 14): 22, (13, 15): 3, (13, 16): 16, (13, 17): 29, (13, 18): 10, (13, 19): 23, (14, 15): 18, (14, 16): 0, (14, 17): 14, (14, 18): 28, (14, 19): 10, (15, 16): 16, (15, 17): 31, (15, 18): 14, (15, 19): 29}     Count hash = 184
 Count = 184
i = 16  j = 17   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12, (10, 15): 22, (10, 16): 0, (10, 17): 10, (10, 18): 20, (10, 19): 30, (11, 12): 4, (11, 13): 15, (11, 14): 26, (11, 15): 5, (11, 16): 16, (11, 17): 27, (11, 18): 6, (11, 19): 17, (12, 13): 28, (12, 14): 8, (12, 15): 20, (12, 16): 0, (12, 17): 12, (12, 18): 24, (12, 19): 4, (13, 14): 22, (13, 15): 3, (13, 16): 16, (13, 17): 29, (13, 18): 10, (13, 19): 23, (14, 15): 18, (14, 16): 0, (14, 17): 14, (14, 18): 28, (14, 19): 10, (15, 16): 16, (15, 17): 31, (15, 18): 14, (15, 19): 29, (16, 17): 16}     Count hash = 185
 Count = 185
i = 16  j = 18   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12, (10, 15): 22, (10, 16): 0, (10, 17): 10, (10, 18): 20, (10, 19): 30, (11, 12): 4, (11, 13): 15, (11, 14): 26, (11, 15): 5, (11, 16): 16, (11, 17): 27, (11, 18): 6, (11, 19): 17, (12, 13): 28, (12, 14): 8, (12, 15): 20, (12, 16): 0, (12, 17): 12, (12, 18): 24, (12, 19): 4, (13, 14): 22, (13, 15): 3, (13, 16): 16, (13, 17): 29, (13, 18): 10, (13, 19): 23, (14, 15): 18, (14, 16): 0, (14, 17): 14, (14, 18): 28, (14, 19): 10, (15, 16): 16, (15, 17): 31, (15, 18): 14, (15, 19): 29, (16, 17): 16, (16, 18): 0}     Count hash = 186
 Count = 186
i = 16  j = 19   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12, (10, 15): 22, (10, 16): 0, (10, 17): 10, (10, 18): 20, (10, 19): 30, (11, 12): 4, (11, 13): 15, (11, 14): 26, (11, 15): 5, (11, 16): 16, (11, 17): 27, (11, 18): 6, (11, 19): 17, (12, 13): 28, (12, 14): 8, (12, 15): 20, (12, 16): 0, (12, 17): 12, (12, 18): 24, (12, 19): 4, (13, 14): 22, (13, 15): 3, (13, 16): 16, (13, 17): 29, (13, 18): 10, (13, 19): 23, (14, 15): 18, (14, 16): 0, (14, 17): 14, (14, 18): 28, (14, 19): 10, (15, 16): 16, (15, 17): 31, (15, 18): 14, (15, 19): 29, (16, 17): 16, (16, 18): 0, (16, 19): 16}     Count hash = 187
 Count = 187
i = 17  j = 18   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12, (10, 15): 22, (10, 16): 0, (10, 17): 10, (10, 18): 20, (10, 19): 30, (11, 12): 4, (11, 13): 15, (11, 14): 26, (11, 15): 5, (11, 16): 16, (11, 17): 27, (11, 18): 6, (11, 19): 17, (12, 13): 28, (12, 14): 8, (12, 15): 20, (12, 16): 0, (12, 17): 12, (12, 18): 24, (12, 19): 4, (13, 14): 22, (13, 15): 3, (13, 16): 16, (13, 17): 29, (13, 18): 10, (13, 19): 23, (14, 15): 18, (14, 16): 0, (14, 17): 14, (14, 18): 28, (14, 19): 10, (15, 16): 16, (15, 17): 31, (15, 18): 14, (15, 19): 29, (16, 17): 16, (16, 18): 0, (16, 19): 16, (17, 18): 18}     Count hash = 188
 Count = 188
i = 17  j = 19   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12, (10, 15): 22, (10, 16): 0, (10, 17): 10, (10, 18): 20, (10, 19): 30, (11, 12): 4, (11, 13): 15, (11, 14): 26, (11, 15): 5, (11, 16): 16, (11, 17): 27, (11, 18): 6, (11, 19): 17, (12, 13): 28, (12, 14): 8, (12, 15): 20, (12, 16): 0, (12, 17): 12, (12, 18): 24, (12, 19): 4, (13, 14): 22, (13, 15): 3, (13, 16): 16, (13, 17): 29, (13, 18): 10, (13, 19): 23, (14, 15): 18, (14, 16): 0, (14, 17): 14, (14, 18): 28, (14, 19): 10, (15, 16): 16, (15, 17): 31, (15, 18): 14, (15, 19): 29, (16, 17): 16, (16, 18): 0, (16, 19): 16, (17, 18): 18, (17, 19): 3}     Count hash = 189
 Count = 189
i = 18  j = 19   hash = {(0, 1): 0, (0, 2): 0, (0, 3): 0, (0, 4): 0, (0, 5): 0, (0, 6): 0, (0, 7): 0, (0, 8): 0, (0, 9): 0, (0, 10): 0, (0, 11): 0, (0, 12): 0, (0, 13): 0, (0, 14): 0, (0, 15): 0, (0, 16): 0, (0, 17): 0, (0, 18): 0, (0, 19): 0, (1, 2): 2, (1, 3): 3, (1, 4): 4, (1, 5): 5, (1, 6): 6, (1, 7): 7, (1, 8): 8, (1, 9): 9, (1, 10): 10, (1, 11): 11, (1, 12): 12, (1, 13): 13, (1, 14): 14, (1, 15): 15, (1, 16): 16, (1, 17): 17, (1, 18): 18, (1, 19): 19, (2, 3): 6, (2, 4): 8, (2, 5): 10, (2, 6): 12, (2, 7): 14, (2, 8): 16, (2, 9): 18, (2, 10): 20, (2, 11): 22, (2, 12): 24, (2, 13): 26, (2, 14): 28, (2, 15): 30, (2, 16): 0, (2, 17): 2, (2, 18): 4, (2, 19): 6, (3, 4): 12, (3, 5): 15, (3, 6): 18, (3, 7): 21, (3, 8): 24, (3, 9): 27, (3, 10): 30, (3, 11): 1, (3, 12): 4, (3, 13): 7, (3, 14): 10, (3, 15): 13, (3, 16): 16, (3, 17): 19, (3, 18): 22, (3, 19): 25, (4, 5): 20, (4, 6): 24, (4, 7): 28, (4, 8): 0, (4, 9): 4, (4, 10): 8, (4, 11): 12, (4, 12): 16, (4, 13): 20, (4, 14): 24, (4, 15): 28, (4, 16): 0, (4, 17): 4, (4, 18): 8, (4, 19): 12, (5, 6): 30, (5, 7): 3, (5, 8): 8, (5, 9): 13, (5, 10): 18, (5, 11): 23, (5, 12): 28, (5, 13): 1, (5, 14): 6, (5, 15): 11, (5, 16): 16, (5, 17): 21, (5, 18): 26, (5, 19): 31, (6, 7): 10, (6, 8): 16, (6, 9): 22, (6, 10): 28, (6, 11): 2, (6, 12): 8, (6, 13): 14, (6, 14): 20, (6, 15): 26, (6, 16): 0, (6, 17): 6, (6, 18): 12, (6, 19): 18, (7, 8): 24, (7, 9): 31, (7, 10): 6, (7, 11): 13, (7, 12): 20, (7, 13): 27, (7, 14): 2, (7, 15): 9, (7, 16): 16, (7, 17): 23, (7, 18): 30, (7, 19): 5, (8, 9): 8, (8, 10): 16, (8, 11): 24, (8, 12): 0, (8, 13): 8, (8, 14): 16, (8, 15): 24, (8, 16): 0, (8, 17): 8, (8, 18): 16, (8, 19): 24, (9, 10): 26, (9, 11): 3, (9, 12): 12, (9, 13): 21, (9, 14): 30, (9, 15): 7, (9, 16): 16, (9, 17): 25, (9, 18): 2, (9, 19): 11, (10, 11): 14, (10, 12): 24, (10, 13): 2, (10, 14): 12, (10, 15): 22, (10, 16): 0, (10, 17): 10, (10, 18): 20, (10, 19): 30, (11, 12): 4, (11, 13): 15, (11, 14): 26, (11, 15): 5, (11, 16): 16, (11, 17): 27, (11, 18): 6, (11, 19): 17, (12, 13): 28, (12, 14): 8, (12, 15): 20, (12, 16): 0, (12, 17): 12, (12, 18): 24, (12, 19): 4, (13, 14): 22, (13, 15): 3, (13, 16): 16, (13, 17): 29, (13, 18): 10, (13, 19): 23, (14, 15): 18, (14, 16): 0, (14, 17): 14, (14, 18): 28, (14, 19): 10, (15, 16): 16, (15, 17): 31, (15, 18): 14, (15, 19): 29, (16, 17): 16, (16, 18): 0, (16, 19): 16, (17, 18): 18, (17, 19): 3, (18, 19): 22}     Count hash = 190
harr_unique(0): 0 COUNT: 1
harr_unique(1): 1 COUNT: 2
harr_unique(2): 2 COUNT: 3
harr_unique(3): 3 COUNT: 4
harr_unique(4): 4 COUNT: 5
harr_unique(5): 5 COUNT: 6
harr_unique(6): 6 COUNT: 7
harr_unique(7): 7 COUNT: 8
harr_unique(8): 8 COUNT: 9
harr_unique(9): 9 COUNT: 10
harr_unique(10): 10 COUNT: 11
harr_unique(11): 11 COUNT: 12
harr_unique(12): 12 COUNT: 13
harr_unique(13): 13 COUNT: 14
harr_unique(14): 14 COUNT: 15
harr_unique(15): 15 COUNT: 16
harr_unique(16): 16 COUNT: 17
harr_unique(17): 17 COUNT: 18
harr_unique(18): 18 COUNT: 19
harr_unique(19): 19 COUNT: 20
harr_unique(20): 20 COUNT: 21
harr_unique(21): 21 COUNT: 22
harr_unique(22): 22 COUNT: 23
harr_unique(23): 23 COUNT: 24
harr_unique(24): 24 COUNT: 25
harr_unique(25): 25 COUNT: 26
harr_unique(26): 26 COUNT: 27
harr_unique(27): 27 COUNT: 28
harr_unique(28): 28 COUNT: 29
harr_unique(29): 29 COUNT: 30
harr_unique(30): 30 COUNT: 31
harr_unique(31): 31 COUNT: 32

> Examine the key pairs and the hash values. The question is, are there any hash collisions? This can be done as follows:
> 5. Compute a list of the hash values for all combinations of $i$ and $j$.
> 6. Print the length of the list.
> 7. Print the length of the unique values of the hash. You can find the unique values in a list with the [numpy.unique](https://numpy.org/doc/stable/reference/generated/numpy.unique.html) function. _____no_output_____

## Put your code below.

Count1 = 0
ui, harr_u = np.unique(harr,return_counts = True)

for uindex in range(len(harr_u)):

   print('harr_unique(' + str(uindex) + '): ' + str(ui[uindex]) + ' Reoccurrances: '+ str(harr_u[uindex]))
##    Count1 += 1
## print (harr_u)

print (ui)
print (harr_u)harr_unique(0): 0 Reoccurrances: 29
harr_unique(1): 1 Reoccurrances: 2
harr_unique(2): 2 Reoccurrances: 6
harr_unique(3): 3 Reoccurrances: 5
harr_unique(4): 4 Reoccurrances: 7
harr_unique(5): 5 Reoccurrances: 3
harr_unique(6): 6 Reoccurrances: 7
harr_unique(7): 7 Reoccurrances: 3
harr_unique(8): 8 Reoccurrances: 10
harr_unique(9): 9 Reoccurrances: 2
harr_unique(10): 10 Reoccurrances: 7
harr_unique(11): 11 Reoccurrances: 3
harr_unique(12): 12 Reoccurrances: 9
harr_unique(13): 13 Reoccurrances: 4
harr_unique(14): 14 Reoccurrances: 6
harr_unique(15): 15 Reoccurrances: 3
harr_unique(16): 16 Reoccurrances: 16
harr_unique(17): 17 Reoccurrances: 2
harr_unique(18): 18 Reoccurrances: 7
harr_unique(19): 19 Reoccurrances: 2
harr_unique(20): 20 Reoccurrances: 7
harr_unique(21): 21 Reoccurrances: 3
harr_unique(22): 22 Reoccurrances: 6
harr_unique(23): 23 Reoccurrances: 3
harr_unique(24): 24 Reoccurrances: 10
harr_unique(25): 25 Reoccurrances: 2
harr_unique(26): 26 Reoccurrances: 5
harr_unique(27): 27 Reoccurrances: 3
harr_unique(28): 28 Reoccurrances: 7
harr_unique(29): 29 Reoccurrances: 2
harr_unique(30): 30 Reoccurrances: 6
harr_unique(31): 31 Reoccurrances: 3
[ 0  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
 24 25 26 27 28 29 30 31]
[29  2  6  5  7  3  7  3 10  2  7  3  9  4  6  3 16  2  7  2  7  3  6  3
 10  2  5  3  7  2  6  3]

> Examine the results you have printed. Is there any evidence of hash key collisions?
> The ratio of $m/n$ is deliberately kept high since the simple hash function has no collision resolution mechanism. Optionally, you can try reducing this ration (the multiplier) to 16 and 8, noting the increase in hash collisions.
> **End of exercise.**_____no_output_____Yes: There is evidence of hash key collisions. There are 190 Combinations with only 32 unique values. Each reoccurance has been determined for the unique hash values indicating the number of collisions._____no_output_____### The map process

We are constructing this example a map and a reduce process. The processes are intended to compute the hypothesis test for differences of means between all the pairs of vectors. The first step is the map process, which creates the keys, or values of $i$ and $j$ for these pairs.

> **Exercise 1-2:** You will now create the code for the map task which build a data frame with $i, j$ key pairs indexed by the hash. By the following steps you will create code that represents a map task.
> 1. Create a data frame with two columns $i$ and $j$ with rows $= hash_key * modulo_multiplier $ and set all values to $= numpy.nan$.
> 2. Create a loop over all combinations of the pairs of i and j.
> 2. Compute the hash key value for the indexes, i and j.
> 4. Add the $i$ and $j$ values to the row indexed by the hash key.
> 5. Return the hash table.
> 6. Execute the function to create the hash table.
> 7. Compute and print the length of the hash table. _____no_output_____

def map_hypothesis(vars, hash_key=1024, modulo_multiplier=32):
    ## Put your code below.

    for i,j in combinations(range(ncolumns), 2):
        ## Put your code below.
        ## Compute the hash key and added the values to the
        ## row of the data frame.

    return hash_table

hash_table = map_hypothesis(normal_vars)_____no_output_____

> **End of exercise.**_____no_output_____### The shuffle and reduce task

Now that you have the keys for the pairwise combinations of the vectors it is time to perform the reduce process. The reduce process computes the pair-wise t-statistics and p-values. These statistical values are indexed by the keys of the pair of vectors. This process reduces the full vectors of values down to just two numbers for each pair of vectors.

> **Exercise 1-3:** You will now create and apply the following code for the reduce process:
> 1. Create an empty data frame with columns, `i`, `j`, `t_statistic`, and `p_value`.
> 2. Using a for loop iterate over all possible (hashed) keys of the data frame. An if statement is used to test if these are valid values of the key, i. Use the [numpy.isnan](https://numpy.org/doc/stable/reference/generated/numpy.isnan.html) function for this test.
> 3. Extract the values of i and j from the input data frame.
> 4. Using keys, compute the t-statistic and p-value using [scipy.stats import ttest_ind](https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.ttest_ind.html).
> 5. Append a row to the output data frame.
> 6. Return the data frame, sorted in ascending order, using the [Pandas.DataFrame.sort_values](https://turned.pydata.org/docs/reference/api/pandas.DataFrame.sort_values.html) method and re-indexed using the [Pandas.DataFrame.reset_index](https://pandas.pydata.org/docs/reference/api/pandas.DataFrame.reset_index.html) method.
> 7. Execute your function and save the returned data frame._____no_output_____

def reduce_significance(hash_table, values):
    ## Create a data framreturn the results of the
    ## the reduce process. The results are grouped by the first
    ## index i.
    test_results = pd.DataFrame(columns=['i','j','t_statistic','p_value'])

    ## As a substitute for a shuffle we will use a simple search
    ## through the data frame
    for hash in range(hash_table.shape[0]):
    ## Put your code below.
        if not np.isnan(hash_table.iloc[hash,0]):

    ## Given the i,j pairs we need to compute the t-statistic and the p-value.
    ## This is the reduce step, since for each i,j pair there is only
    ## a t-statistic and a p-value.
    ## Put your code below.

    ## Sort and return the results
    #test_results.sort_values('p_value', axis=0, ascending=True# , inplace=True)
    return test_results.sort_values('p_value', axis=0, ascending=True).reset_index(drop=True)

test_stats = reduce_significance(hash_table, normal_vars)       _____no_output_____

> 8. In the cell below, create a filter for pair test cases which are significant and save these cases in a data frame.
> 9. Print the number (len) of significant results.
> 10. Print the rows with the significant test results._____no_output_____

significance_level = 0.05
## Put your code below.

_____no_output_____

> Notice the large number of apparently significant tests. Answer the following questions:
> 1. Is the number of false positive cases higher than expected?
> 2. Examine which of the iid Normal vectors contribute to the false positive results. Are there vectors which contribute multiple times?
> **End of exercise.**_____no_output_____### Bonferroni correction

Several adjustments to the multiple comparisons problem have been proposed. In Dunn published a method know as the **Bonferroni correction** in 1961. The Bonferroni correction is a widely used method to reduce the false positive rate of hypothesis tests.  The adjustment is simple:
$$\alpha_b = \frac{\alpha}{m}\\
with\\
m =\ number\ of\ groups$$

Can the Bonferroni correction help? Yes, by greatly increasing the confidence level required for a statistically significant result. The problem with the Bonferroni correction is the reduction in power as the  grows smaller. For big data problems with large numbers of groups, this issue can be especially serious.

**Exercise 1-4:** You will now apply the Bonferroni correction to the iid Normal vectors. To do so, you will compute the Bonferroni threshold and the apply it to the p-values:   _____no_output_____

## Put your code below

_____no_output_____

> Even with the Bonferroni correction we have some false significance tests, if only just barely!
> **End of exercise.**

But, can we detect small effect with Bonferroni correction, as this method significantly reduces power of tests? Execute the code in the cell below, which compares a standard Normal to a Normal with a small mean (effect size), to find out. _____no_output_____

nr.seed(567)
print(significance_bonferroni)
ttest_ind(normal_vars[:,0], nr.normal(loc = 0.01, size=(1000,1)))_____no_output_____

Given the Bonferroni correction, this difference in means would not be found significant. This illustrates the downside of the correction, which may prevent detection of significant effects, while still finding false significance. _____no_output_____## False Discovery Rate Control Methods

We have seen the potential pitfalls of multiple hypothesis testing. Further, we have seen that a simple approach to **false discovery rate (FDR) control** is not effective. You will now apply more sophisticated FDR control methods to control the FDR.

Inflammatory bowel disease is an auto immune disease that is characterized by chronic inflammation in the digestive tract. In 2020, there were around 2.5 million people with inflammatory bowel disease in the United States. It is estimated that the prevalence of IBD among U.S. population will rise to around 3.5 million by 2030.There are two forms of IBD: Ulcerative Colitis (UC) and Crohn’s disease (CD).

The specific problem we will explore is to determine which genes lead to expression of a certain disease. In this example, there are gene expression data for 97 patients. Some of these patients have ulcerative colitis and others have Crohn's disease, which are believed to be genetically inherited.

One approach to this problem is to perform hypothesis tests on the expression of the genes between patients with the two conditions. Since there are over 10,000 genes there is considerable chance for false discovery. Therefore, careful application of FDR control is required.

To continue with the example, execute the code in the cell below to load the data and print the dimensionality of the data frame. _____no_output_____

gene_data = pd.read_csv('../data/ColonDiseaseGeneData-Cleaned.csv')
print(gene_data.shape)_____no_output_____

There are data from 97 patients for 10,497 genes. A large number of hypothesis tests are required!

Execute the code in the cell below to view the first 5 columns of the data frame, which includes the expression of the first 4 genes.  _____no_output_____

 print(gene_data.iloc[:,:5])      _____no_output_____

### Holm's method

You will apply two FDR control methods to these data.These methods attempt to conod trol the FDR while not being overly conservative like the Bonferronic correction. The first of these Holm's method.

The Holm's method operates on the ordered set of p-values, $D = \{ p_{(1)}, p_{(2)}, p_{(3)}, \ldots, p_{(n)} \}$. The threshold for the $ith$ p-value, $p(i) is:

$$p(i) \le Threshold(Holm's) = \frac{\alpha}{N - i + 1}$$

For example: for the 10th ordered p-value with 1,000 total tests (genes) and significance level of 0.05, the cutoff is:

$$p(10) \le \frac{0.05}{1000 - 10 + 1} = 0.00005045$$_____no_output_____### Map process

> **Exercise 01-4:** To start the processing of these data you will first create and execute code for a map process. The map process groups the data by the patient's disease into data frame, ulcerative, crohns. The keys for each of these key-value pairs are the gene identifier. Notice that one key is all that is needed in this case. Now do the following to create and execute a function, `map_gene`:
> 1. Create a logical mask and group the values by `Disease State` into two data frames.
> 2. Return the transpose of the two data frames, removing the `Disease State` values. The result of this operation should be data frames with gene expressions in the columns and the gene identifier as the row index. _____no_output_____

def map_gene(gene_data):
    ## First, separate the columns by disease type
    ## Put your code below.

ulcerative, crohns = map_gene(gene_data)    _____no_output_____

> 3. Execute the code in the cells below to display the heads of these data frames and examine the results. _____no_output_____

ulcerative.head()_____no_output_____crohns.head()_____no_output_____

### Reduce process

> **Exercise 01-5:** With the key-value pairs organized by disease state, it is time to create and execute code of a reduce process. The reduce process will compute the pairwise t-statistics and p-values for each gene and return the sorted results. Specifically, your `gene_test` with arguments of the two mapped data frames will do the following:
> 1. Create an empty data frame with columns gene, t_statistics, and p-value.
> 2. A for loop iterates over the keys of either of the data frames.
> 3. Compute the t-statistic and p-value for the gene (key).
> 4. Append the results to the data frame.
> 5. Sort the results data frame, inplace, into ascending order.
> 6. Return the resulting data frame._____no_output_____

def gene_test(ulcerative, crohns):
    test_results = pd.DataFrame(columns=['gene','t_statistic','p_value'])
    ## Put your code below.

    return test_results.set_index('gene')

gene_statistics = gene_test(ulcerative, crohns)    _____no_output_____

### Significance of results

With the gene data reduced to the t-test statistics, you will now determine the significance of these tests. It is important to understand that scientists believe that expression of a disease, like Corhn's, is only in a small number of genes.

> **Exercise 01-6:** As a first step in understanding the gene expression significance complete and execute the code in the cell below to find the number of 'significant' genes using the simple single hypothesis test cutoff criteria.  _____no_output_____

significance_level =0.05
## Put your code below.

_____no_output_____

> Does this large number of 'statistically significant' results appear credible, given that only a few genes are thought to have significant expression for this disease?
> **End of exercise.**

> **Exercise 01-7:** We have already seen that the Bonferroni correction is a rather conservative approach to testing the significance of large numbers of hypotheses. You will now use the Bonferroni correction to test the significance of the gene expression, by completing the code in the cell below.  _____no_output_____

## Put your code below.
_____no_output_____

> The foregoing result seems reasonable, but is it too conservative?_____no_output_____> **Exercise 01-08:** You will now apply the Holms method to determining significance of the gene expression test results. In the cell below complete the `holms_significance` function with arguments of the results data frame and the significance level. This function does the following:
> 1. Find the number of test results and compute the numerator used for the cutoff calculation.
> 2. Compute the vector of thresholds using the Holms formula. Use the Python `range`function to get the values of the index i. But, keep in mind that range produces a zero-indexed iterator, and the algorithm needs a one-indexed list.  Use the [numpy.divide](https://numpy.org/doc/stable/reference/generated/numpy.divide.html) function to perform the vector divide. Save these threshold values in a data frame in a 'holms_threshold' column.
> 3. Using the threshold values compute a logical vector and save it in a column names 'significance' in the data frame.
> 4. Return the data frame.
> Finally, execute the function and save the results in a data frame. Then find the length of the subset where the 'significance' value is True. _____no_output_____

def holms_significance(test_results, significance):
    ## First compute the thresholds for each of the ordered tests
    ## Put your code below.

    ## Now we test the significance of the ordered p-values

    return test_results

holms_results = holms_significance(gene_statistics, significance_level)
len(holms_results.loc[holms_results.loc[:,'significant'],:])_____no_output_____

> Despite the general properties that the Holm's method is considered less conservative than the Bonferroni correction the results agree in this case. Does this agreement give you some confidence in the result and why?
> **End of exercise.**_____no_output_____You can visualize the results of the Holm's method test. The plot has two key elements:
1. Plot the curve of the p-values vs. the order number, i. The line is color coded by significance or not.
2. Plot the threshold line. This line is straight since the threshold is a linear function of i._____no_output_____

def plot_significance(results, threshold):
    results['number'] = range(len(results))
    fig, ax = plt.subplots(figsize=(8, 6))
    sns.lineplot(x='number',y=threshold, data=results, ax=ax, color='black', linewidth=0.5)
    sns.scatterplot(x='number',y='p_value', hue='significant', data=results, s=3, ax=ax)
    ax.set_title('Significance of gene expression')
    ax.set_xlabel('Gene number')
    ax.set_ylabel('p-value')

plot_significance(holms_results.iloc[:500,:], 'holms_threshold')    _____no_output_____

Notice the following about this plot:
1. The p-value significance line crosses the threshold point at an apparent break point.
2. The significant p-values are all very small since there are so many tests._____no_output_____### Benamini-Hochberg FDR Control

The Benamini-Hochberg FDR control algorithm is another way to control false discoveries. Stat with an ordered set of $n$ p-values, $D = \{ p_{(1)}, p_{(2)}, p_{(3)}, \ldots, p_{(n)} \}$ we define a false discovery rate, $q$:

$$FDR(D) \le q$$

The cutoff threshold for the ith p-value is then:
$$p_{(i)} \le Threshold(D_q) = \frac{q}{n} i$$_____no_output_____> **Exercise 01-9:** In this exercise you will apply the Benamini-Hochberg FDR control algorithm for testing the significance of the gene expressions. The `BH_significance` function is quite similar to the Holm's method function you have already created. Given the large number of genes you must use a low false discovery rate, $0.001$, or 1 out of 1,000.
> Execute your function, saving the result. Then print the number of significant cases. _____no_output_____

def BH_significance(test_results, false_discovery_tollerance):
    ## First compute the thresholds for each of the ordered tests
    ## Put your code below.

    ## Now we test the significance of the ordered p-values

    return test_results

BH_results = BH_significance(gene_statistics, 0.001)
len(BH_results.loc[BH_results.loc[:,'significant'],:])_____no_output_____

> The result is similar to the first two FDR control methods. Given the false discovery parameter of 0.0001 do you think this is a reasonable result? _____no_output_____Finally, execute the code in the cell below and examine the resulting plot._____no_output_____

plot_significance(BH_results.iloc[:500,:], 'bh_threshold')    _____no_output_____

> **Exercise 01-10**: Bonus question. Compare the plot above to the foregoing plot for Holm's method. Are the breaks in slope of the p-value curve at the crossing point with the threshold values reasonable in both cases? _____no_output_____##### Copyright 2021, Stephen F. Elston. All rights reserved. _____no_output_____