SequencesCan you produce the following sequences?1,1,1,1,12,2,2,2,23,3,3,3,34,4,4,4,45,5,5,5,5...A := [0,0,0,0,0];

NiM+SSJBRzYiNyciIiFGJ0YnRidGJw==

for i to 5 do A[i] := A[i] + 1; end;

NiM+JkkiQUc2IjYjIiIiRig=NiM+JkkiQUc2IjYjIiIjIiIiNiM+JkkiQUc2IjYjIiIkIiIiNiM+JkkiQUc2IjYjIiIlIiIiNiM+JkkiQUc2IjYjIiImIiIi

A;

NiM3JyIiIkYkRiRGJEYk

Next := proc(A) local i; for i to 5 do; A[i] := A[i] + 1; end; return A; end;

NiM+SSVOZXh0RzYiZio2I0kiQUdGJTYjSSJpR0YlRiVGJUMkPyg4JCIiIkYuIiImSSV0cnVlR0kqcHJvdGVjdGVkR0YxPiY5JDYjRi0sJkYzRi5GLkYuT0Y0RiVGJUYl

Next(A);

Error, (in Next) illegal use of a formal parameter

Something does not work. The reason is that Maple does not like if you assign values to list entries. You should better use a data structure called an Array:T := Array(A);

NiM+SSJURzYiLUknUlRBQkxFR0YlNiUiKlcyNlEiLUknVkVDVE9SR0YlNiM3JyIiIkYuRi5GLkYuSSZBcnJheUdJKnByb3RlY3RlZEdGMA==

Next(T);

NiMtSSdSVEFCTEVHNiI2JSIqVzI2USItSSdWRUNUT1JHRiU2IzcnIiIjRixGLEYsRixJJkFycmF5R0kqcHJvdGVjdGVkR0Yu

Next(T);

NiMtSSdSVEFCTEVHNiI2JSIqVzI2USItSSdWRUNUT1JHRiU2IzcnIiIkRixGLEYsRixJJkFycmF5R0kqcHJvdGVjdGVkR0Yu

Next(T);

NiMtSSdSVEFCTEVHNiI2JSIqVzI2USItSSdWRUNUT1JHRiU2IzcnIiIlRixGLEYsRixJJkFycmF5R0kqcHJvdGVjdGVkR0Yu

Next(T);

NiMtSSdSVEFCTEVHNiI2JSIqVzI2USItSSdWRUNUT1JHRiU2IzcnIiImRixGLEYsRixJJkFycmF5R0kqcHJvdGVjdGVkR0Yu

T := Array(5);

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T := Array([0,0,0,0,0]);

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for i to 10 do Next(T); end;

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NiMtSSdSVEFCTEVHNiI2JSIqVz9WUSItSSdWRUNUT1JHRiU2IzcnIiIkRixGLEYsRixJJkFycmF5R0kqcHJvdGVjdGVkR0YuNiMtSSdSVEFCTEVHNiI2JSIqVz9WUSItSSdWRUNUT1JHRiU2IzcnIiIlRixGLEYsRixJJkFycmF5R0kqcHJvdGVjdGVkR0YuNiMtSSdSVEFCTEVHNiI2JSIqVz9WUSItSSdWRUNUT1JHRiU2IzcnIiImRixGLEYsRixJJkFycmF5R0kqcHJvdGVjdGVkR0YuNiMtSSdSVEFCTEVHNiI2JSIqVz9WUSItSSdWRUNUT1JHRiU2IzcnIiInRixGLEYsRixJJkFycmF5R0kqcHJvdGVjdGVkR0Yu

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OK, that was easy, except for the fact that we have to use arrays. Now, let's do something more interesting. Let's count like the mileage counter in a car:[0,0,0,0,0][0,0,0,0,1][0,0,0,0,2]...[0,0,0,0,9][0,0,0,1,0][0,0,0,1,1]....and so forth. Can you write a procedure to increase the milage counter by one?Here we go:Next := proc(A) local l, i; l := nops(A); i := l; while i >= 1 and A[i] = 9 do A[i] := 0; i := i - 1; end; if i >= 1 then A[i] := A[i] + 1; end; return A; end;

NiM+SSVOZXh0RzYiZio2I0kiQUdGJTYkSSJsR0YlSSJpR0YlRiVGJUMnPjgkLUklbm9wc0dJKnByb3RlY3RlZEdGMTYjOSQ+OCVGLj8oRiUiIiJGN0YlMzFGN0Y1LyZGMzYjRjUiIipDJD5GOyIiIT5GNSwmRjVGNyEiIkY3QCRGOT5GOywmRjtGN0Y3RjdPRjNGJUYlRiU=

A := Array([0,0,0,0,0]);

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Next(A);

NiMtSSdSVEFCTEVHNiI2JSIqN0dZTiItSSdWRUNUT1JHRiU2IzcnIiIhRixGLCIiIkYsSSZBcnJheUdJKnByb3RlY3RlZEdGLw==

Hmmm, that is unexpected. What is the problem? Maybe the nops stuff?nops(A);

NiMiIiU=

Why 4, shouldn' it be 5? OK, lets look up the help for Array. We will find that there is a different command for the length of an array. Hold on, it's name is ArrayNumElems !ArrayNumElems(A);

NiMiIiY=

# OK, we can rewrite the function:Next := proc(A) local l, i; l := ArrayNumElems(A); i := l; while i >= 1 and A[i] = 9 do A[i] := 0; i := i - 1; end; if i >= 1 then A[i] := A[i] + 1; end; return A; end;

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A := Array([0,0,0,0,0]);

NiM+SSJBRzYiLUknUlRBQkxFR0YlNiUiKmtuL1AiLUknVkVDVE9SR0YlNiM3JyIiIUYuRi5GLkYuSSZBcnJheUdJKnByb3RlY3RlZEdGMA==

Next(A);

NiMtSSdSVEFCTEVHNiI2JSIqa24vUCItSSdWRUNUT1JHRiU2IzcnIiIhRixGLEYsIiIiSSZBcnJheUdJKnByb3RlY3RlZEdGLw==

Next(A);

NiMtSSdSVEFCTEVHNiI2JSIqa24vUCItSSdWRUNUT1JHRiU2IzcnIiIhRixGLEYsIiIjSSZBcnJheUdJKnByb3RlY3RlZEdGLw==

for i to 15 do Next(A); end;

NiMtSSdSVEFCTEVHNiI2JSIqa24vUCItSSdWRUNUT1JHRiU2IzcnIiIhRixGLEYsIiIkSSZBcnJheUdJKnByb3RlY3RlZEdGLw==NiMtSSdSVEFCTEVHNiI2JSIqa24vUCItSSdWRUNUT1JHRiU2IzcnIiIhRixGLEYsIiIlSSZBcnJheUdJKnByb3RlY3RlZEdGLw==

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NiMtSSdSVEFCTEVHNiI2JSIqa24vUCItSSdWRUNUT1JHRiU2IzcnIiIhRixGLCIiIiIiJEkmQXJyYXlHSSpwcm90ZWN0ZWRHRjA=NiMtSSdSVEFCTEVHNiI2JSIqa24vUCItSSdWRUNUT1JHRiU2IzcnIiIhRixGLCIiIiIiJUkmQXJyYXlHSSpwcm90ZWN0ZWRHRjA=NiMtSSdSVEFCTEVHNiI2JSIqa24vUCItSSdWRUNUT1JHRiU2IzcnIiIhRixGLCIiIiIiJkkmQXJyYXlHSSpwcm90ZWN0ZWRHRjA=NiMtSSdSVEFCTEVHNiI2JSIqa24vUCItSSdWRUNUT1JHRiU2IzcnIiIhRixGLCIiIiIiJ0kmQXJyYXlHSSpwcm90ZWN0ZWRHRjA=

NiMtSSdSVEFCTEVHNiI2JSIqa24vUCItSSdWRUNUT1JHRiU2IzcnIiIhRixGLCIiIiIiKEkmQXJyYXlHSSpwcm90ZWN0ZWRHRjA=

# OK, it seems to work. # How about counting up in binary. # That menas the digits should be either zero or one.Next := proc(A) local l, i; l := ArrayNumElems(A); i := l; while i >= 1 and A[i] = 1 do A[i] := 0; i := i - 1; end; if i >= 1 then A[i] := A[i] + 1; end; return A; end;

NiM+SSVOZXh0RzYiZio2I0kiQUdGJTYkSSJsR0YlSSJpR0YlRiVGJUMnPjgkLUkuQXJyYXlOdW1FbGVtc0c2JEkqcHJvdGVjdGVkR0YySShfc3lzbGliR0YlNiM5JD44JUYuPyhGJSIiIkY5RiUzMUY5RjcvJkY1NiNGN0Y5QyQ+Rj0iIiE+RjcsJkY3RjkhIiJGOUAkRjs+Rj0sJkY9RjlGOUY5T0Y1RiVGJUYl

A := Array([0,0,0,0,0]);

NiM+SSJBRzYiLUknUlRBQkxFR0YlNiUiKldgYVEiLUknVkVDVE9SR0YlNiM3JyIiIUYuRi5GLkYuSSZBcnJheUdJKnByb3RlY3RlZEdGMA==

Next(A);

NiMtSSdSVEFCTEVHNiI2JSIqV2BhUSItSSdWRUNUT1JHRiU2IzcnIiIhRixGLEYsIiIiSSZBcnJheUdJKnByb3RlY3RlZEdGLw==

Next(A);

NiMtSSdSVEFCTEVHNiI2JSIqV2BhUSItSSdWRUNUT1JHRiU2IzcnIiIhRixGLCIiIkYsSSZBcnJheUdJKnByb3RlY3RlZEdGLw==

Next(A);

NiMtSSdSVEFCTEVHNiI2JSIqV2BhUSItSSdWRUNUT1JHRiU2IzcnIiIhRixGLCIiIkYtSSZBcnJheUdJKnByb3RlY3RlZEdGLw==

Next(A);

NiMtSSdSVEFCTEVHNiI2JSIqV2BhUSItSSdWRUNUT1JHRiU2IzcnIiIhRiwiIiJGLEYsSSZBcnJheUdJKnByb3RlY3RlZEdGLw==

A := Array([0,0,0,0,0]);

NiM+SSJBRzYiLUknUlRBQkxFR0YlNiUiKnNRKGY4LUknVkVDVE9SR0YlNiM3JyIiIUYuRi5GLkYuSSZBcnJheUdJKnByb3RlY3RlZEdGMA==

for i to 40 do Next(A); end;

NiMtSSdSVEFCTEVHNiI2JSIqc1EoZjgtSSdWRUNUT1JHRiU2IzcnIiIhRixGLEYsIiIiSSZBcnJheUdJKnByb3RlY3RlZEdGLw==NiMtSSdSVEFCTEVHNiI2JSIqc1EoZjgtSSdWRUNUT1JHRiU2IzcnIiIhRixGLCIiIkYsSSZBcnJheUdJKnByb3RlY3RlZEdGLw==

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# OK, that was all 32 possibilities for binary strings of length 5 and then we started over from 0# let us print both, the counter and the binary string: A := Array([0,0,0,0,0]);

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for i to 40 do print(i, A); Next(A); end:

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# OK, that's right, at least until 32.# after that, we have an overflow. That could happen in old cars, too.# Some people were hiding a 100000 miles this way, for example.# (at least in Germany they did that, that was easier b/c they # use kilometers over there, and 1 mile is 1.6 kilometers, so # 100000 kilometers is only so and so many miles.# how much is that by the way?100000 / 1.6;

NiMkIisrKytdaSEiJg==

# OK, 62 thousand miles. Well it is hard to guess if a car has # 62 thousand miles more or less, isn't it?# HOMEWORK # hw 1)# write a procedure which takes an integer and produces # the binary representation of that number (as a list of coefficients) # EXAMPLE if I give you 1 you give me [1], # if I give you you give me # 2 [1,0] # 3 [1,1] # 4 [1,0,0] # 5 [1,0,1] # 6 [1,1,0] # 7 [1,1,1] # 8 [1,0,0,0] # and so forth # Using a for loop, convert the numbers 60-70 into binary. # What is 9999 in binary? # hw 2)# write a procedure which gets a list of 0's and 1's and produces the # integer in decimals (i.e. the integer # whose binary representation is the given list). # (I.e. the reverse procedure to the above). # using the previous loop, compute the binary representations of # the numbers from 60 to 70, and compute back the original number in decimal from # the binary representation. # What is [1,0,1,0,1,0,1,0] in decimal?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TTdSMApJNlJUQUJMRV9TQVZFLzEzODQzMjA0NFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIjNUYnRidGJ0YnRiYKTTdSMApJNlJUQUJMRV9TQVZFLzEzODQzMjA0NFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIjNUYnRidGJ0YnRiYKTTdSMApJNlJUQUJMRV9TQVZFLzEzODQzMjA0NFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIjNUYnRidGJ0YnRiYKTTdSMApJNlJUQUJMRV9TQVZFLzEzODQzMjA0NFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIjNUYnRidGJ0YnRiYKTTdSMApJNlJUQUJMRV9TQVZFLzEzODQzMjA0NFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIjNUYnRidGJ0YnRiYKTTdSMApJNlJUQUJMRV9TQVZFLzEzODQzMjA0NFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIjNUYnRidGJ0YnRiYKTTdSMApJNlJUQUJMRV9TQVZFLzEzODQzMjA0NFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIjNUYnRidGJ0YnRiYKTTdSMApJNlJUQUJMRV9TQVZFLzEzODQzMjA0NFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIjNUYnRidGJ0YnRiYKTTdSMApJNlJUQUJMRV9TQVZFLzEzODQzMjA0NFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIjNUYnRidGJ0YnRiYKTTdSMApJNlJUQUJMRV9TQVZFLzEzODQzMjA0NFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIjNUYnRidGJ0YnRiYKTTdSMApJNlJUQUJMRV9TQVZFLzEzODQzMjA0NFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIjNUYnRidGJ0YnRiYKTTdSMApJNlJUQUJMRV9TQVZFLzEzNTQ2MjgxMlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiIUYnRiciIiJGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTQ2MjgxMlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiIUYnRiciIiJGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNzA0Njc2NFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiIUYnRiciIiIiIihGJgo=TTdSMApJNlJUQUJMRV9TQVZFLzEzNzA0Njc2NFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiIUYnRiciIiIiIihGJgo=TTdSMApJNlJUQUJMRV9TQVZFLzEzNzA0Njc2NFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiIUYnRiciIiIiIihGJgo=TTdSMApJNlJUQUJMRV9TQVZFLzEzNzA0Njc2NFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiIUYnRiciIiIiIihGJgo=TTdSMApJNlJUQUJMRV9TQVZFLzEzNzA0Njc2NFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiIUYnRiciIiIiIihGJgo=TTdSMApJNlJUQUJMRV9TQVZFLzEzNzA0Njc2NFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiIUYnRiciIiIiIihGJgo=TTdSMApJNlJUQUJMRV9TQVZFLzEzNzA0Njc2NFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiIUYnRiciIiIiIihGJgo=TTdSMApJNlJUQUJMRV9TQVZFLzEzNzA0Njc2NFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiIUYnRiciIiIiIihGJgo=TTdSMApJNlJUQUJMRV9TQVZFLzEzNzA0Njc2NFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiIUYnRiciIiIiIihGJgo=TTdSMApJNlJUQUJMRV9TQVZFLzEzNzA0Njc2NFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiIUYnRiciIiIiIihGJgo=TTdSMApJNlJUQUJMRV9TQVZFLzEzNzA0Njc2NFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiIUYnRiciIiIiIihGJgo=TTdSMApJNlJUQUJMRV9TQVZFLzEzNzA0Njc2NFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiIUYnRiciIiIiIihGJgo=TTdSMApJNlJUQUJMRV9TQVZFLzEzNzA0Njc2NFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiIUYnRiciIiIiIihGJgo=TTdSMApJNlJUQUJMRV9TQVZFLzEzNzA0Njc2NFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiIUYnRiciIiIiIihGJgo=TTdSMApJNlJUQUJMRV9TQVZFLzEzNzA0Njc2NFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiIUYnRiciIiIiIihGJgo=TTdSMApJNlJUQUJMRV9TQVZFLzEzNzA0Njc2NFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiIUYnRiciIiIiIihGJgo=TTdSMApJNlJUQUJMRV9TQVZFLzEzNzA0Njc2NFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiIUYnRiciIiIiIihGJgo=TTdSMApJNlJUQUJMRV9TQVZFLzEzNzA0Njc2NFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiIUYnRiciIiIiIihGJgo=TTdSMApJNlJUQUJMRV9TQVZFLzEzODU0NTM0NFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiIUYnIiIiRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzODU0NTM0NFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiIUYnIiIiRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzODU0NTM0NFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiIUYnIiIiRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzODU0NTM0NFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiIUYnIiIiRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzODU0NTM0NFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiIUYnIiIiRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTk3Mzg3MlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTk3Mzg3MlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTk3Mzg3MlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTk3Mzg3MlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTk3Mzg3MlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTk3Mzg3MlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTk3Mzg3MlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTk3Mzg3MlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTk3Mzg3MlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTk3Mzg3MlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTk3Mzg3MlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTk3Mzg3MlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTk3Mzg3MlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTk3Mzg3MlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTk3Mzg3MlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTk3Mzg3MlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTk3Mzg3MlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTk3Mzg3MlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTk3Mzg3MlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTk3Mzg3MlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTk3Mzg3MlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTk3Mzg3MlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTk3Mzg3MlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTk3Mzg3MlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTk3Mzg3MlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTk3Mzg3MlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTk3Mzg3MlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTk3Mzg3MlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTk3Mzg3MlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTk3Mzg3MlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTk3Mzg3MlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTk3Mzg3MlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTk3Mzg3MlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTk3Mzg3MlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTk3Mzg3MlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTk3Mzg3MlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTk3Mzg3MlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTk3Mzg3MlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTk3Mzg3MlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTk3Mzg3MlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNTk3Mzg3MlgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNjQ0NTcyMFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNjQ0NTcyMFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNjQ0NTcyMFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNjQ0NTcyMFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNjQ0NTcyMFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNjQ0NTcyMFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNjQ0NTcyMFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNjQ0NTcyMFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNjQ0NTcyMFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNjQ0NTcyMFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNjQ0NTcyMFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNjQ0NTcyMFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNjQ0NTcyMFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNjQ0NTcyMFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNjQ0NTcyMFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNjQ0NTcyMFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNjQ0NTcyMFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNjQ0NTcyMFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNjQ0NTcyMFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNjQ0NTcyMFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNjQ0NTcyMFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNjQ0NTcyMFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNjQ0NTcyMFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNjQ0NTcyMFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNjQ0NTcyMFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNjQ0NTcyMFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNjQ0NTcyMFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNjQ0NTcyMFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNjQ0NTcyMFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNjQ0NTcyMFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNjQ0NTcyMFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNjQ0NTcyMFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNjQ0NTcyMFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNjQ0NTcyMFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNjQ0NTcyMFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNjQ0NTcyMFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNjQ0NTcyMFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNjQ0NTcyMFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNjQ0NTcyMFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNjQ0NTcyMFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==TTdSMApJNlJUQUJMRV9TQVZFLzEzNjQ0NTcyMFgqJSlhbnl0aGluZ0c2IjYiW2dsISElISEhIiYiJiIiISIiIkYnRidGJ0YmCg==