Class 10th Mathematics Gujarat Board Solution
Exercise 3.1- Father tells his son, "Five years ago, I was seven times as old as you were.…
- The sum of the cost of 1kg apple and 1kg pine-apple is Rs. 150 and the cost of 1…
- Nilesh got twice the marks as obtained by Ilesh, in the annual examination of…
- Length of a rectangle is four less than the thrice of its breadth. The perimeter…
- The sum of the weights of a father and a son is 85 kg. The weight of the son is…
- In a cricket match, Sachin Tendulkar makes his score thrice the Sehwag's score.…
- In tossing a balanced coin, the probability of getting head on its face is twice…
Exercise 3.2- 2x + y = 8, x + 6y = 15 Solve the following pair of linear equation in two…
- x + y = 1, 3x + 3y = 2 Solve the following pair of linear equation in two…
- 2x + 3y = 5, x + y = 2 Solve the following pair of linear equation in two…
- x-y = 6, 3x - 3y = 18 Solve the following pair of linear equation in two…
- (x + 2) (y — 1) = xy, (x — 1) (y + 1) = xy Solve the following pair of linear…
- Draw the graphs of lie pair of linear equations 3x + 2y = 5 and 2x-3y = -1.…
- 15 students of class X took part in the examination of Indian mathematics…
- Examine graphically whether the pair of equations 2x + 3y = 5 and x + 9/6 y =…
Exercise 3.3- x + y = 7, 3x — y = 1 Solve the following pairs of linear equations by the…
- 3x — y = 0, x — y + 6 = 0 Solve the following pairs of linear equations by the…
- 2x + 3y = 5, 2x + 3y = 7 Solve the following pairs of linear equations by the…
- x — y = 3, 3x — 3y = 9 Solve the following pairs of linear equations by the…
- 3x/2 - 5y/3 = - 2 , x/3 + y/2 = 13/6 Solve the following pairs of linear…
- Solve the pair of linear equations x — y = 28 and x — 3y = 0 and if the solution…
- A fraction becomes 4/5 if 3 is added to both the numerator and the denominator.…
- The sum of present ages of a father and his son is 50 years. After 5 years, the…
- A bus traveller travelling with some of his relatives buys 5 tickets from…
Exercise 3.4- x/5 - y/3 = 4/15 , x/2 - y/9 = 7/18 Solve the following pair of linear…
- 4x — 19y + 13 = 0, 13x — 23y = —19 Solve the following pair of linear equations…
- x + y = a + b, ax — by = a^2 — b^2 Solve the following pair of linear equations…
- 5ax + 6by = 28; 3ax + 4by = 18 Solve the following pair of linear equations by…
- The sum of two numbers is 35. Four times the larger number is 5 more than 5…
- There are some 25 paise coins and some 50 paise coins in a bag. The total number…
- The sum of the digits of two-digit number is 3. The number obtained by…
- The length of a rectangle is twice its breadth. The perimeter of the rectangle…
- An employee deposits certain amount at the rate of 8% per annum and a certain…
Exercise 3.5- 0.3x + 0.4y = 2.5 and 0.5x — 0.3y = 0.3 Solve the following pairs of equations…
- 5x + 8y = 18, 2x — 3y = 1 Solve the following pairs of equations by cross…
- x/3 + y/5 = 1 , 7x— 15y = 21 Solve the following pairs of equations by cross…
- 3x + y = 5, 5x + 3y = 3 Solve the following pairs of equations by cross…
- By cross multiplication method, find such a two digit number such that, the…
- The sum of two numbers is 70 and their difference is 6. Find these numbers by…
- While arranging certain students of a school in rows containing equal number of…
- In AABC, the measure of ∠B is thrice to the measure of ∠C and the measure of ∠A…
Exercise 3.6- 5/2x + 2/3y = 7 , 3/x + 2/y = 12 x ≠ 0, y ≠ 0 Solve the following pairs of…
- 2x + 3y = 2xy, 6x + 12y = 7xy Solve the following pairs of linear equations:…
- 4/x-1 + 5/y-1 = 2 , 8/x-1 + 15/y-1 = 3 x ≠ 1, y ≠ 1 Solve the following pairs…
- 1/3x+y + 1/3x-y = 3/4 , 1/2 (3x+y) - 1/2 (3x-y) = -1/8 3x + y ≠ 0, 3x - y ≠ 0…
- 3/root x + 4/root y = 2 , 5/root x + 7/root y = 41/42 x 0, y 0 Solve the…
- 5 women and 2 men together can finish an embroidery work in 4 days, while 6…
- A boat goes 21 km upstream and 18 km downstream in 9 hours. In 13 hours, it can…
- Solve the following pair of equations by cross multiplication method: 4x+7y/xy =…
- Mahesh travels 250 km to his home partly by train and partly by bus. He takes 6…
Exercise 3- Obtain a pair of linear equations from the following information: "The rate of…
- Draw the graphs of the pair of linear equations in two variables. x + 3y = 6, 2x…
- Solve the following pair of equations by the method of elimination: 4/x + 5/y =…
- Solve the following pair of linear equations by the method of cross -…
- Solve the following pair of equations: 4/x+1 + 7/y+2 = 2 and 10/x+1 + 14/y+2 =…
- The difference between two natural numbers is 6. Adding 10 to the twice of the…
- The area of a rectangle gets increased by 30 square units, if its length is…
- A part of monthly hostel charges is fixed and the remaining depends on the…
- A fraction becomes 2/5 when 2 is subtracted from the numerator and denominator…
- The solution set of x — 3y = 1 and 3x + y = 3 isA. {(0, 1)) B. {(1, 1)} C.…
- The solution set of 2x + y = 6 and 4x + 2y = 5 isA. {(x, Y)| 2x + y = 6; x, y…
- To eliminate x, from 3x + y = 7 and —x + 2y = 2 second equation is multiplied…
- If 2x + 3y = 7 and 3x + 2y = 3, then x — y =A. 4 B. —4 C. 2 D. —2…
- If the pair of linear equations ax + 2y = 7 and 2x + 3y = 8 has a unique…
- The pair of linear equations 2x + y — 3 = 0 and 6x + 3y = 9 hasA. a unique…
- If in a two digit number, the digit at unit place is x and the digit at tens…
- In a two digit number, the digit at tens place is 7 and the sum of the digits…
- The sum of two numbers is 10 and the difference of them is 2. Then the greater…
- 3 years ago, the sum of ages of a father and his son was 40 years. After 2…
- The solution set of 2x + 4y = 8 and x + 2y = 4 isA. {(2, 1)} B. empty set C.…
- Equation x/2 - y/3 = 1 can be expressed in the standard form asA. 2x — 3y — 6…
- Father tells his son, "Five years ago, I was seven times as old as you were.…
- The sum of the cost of 1kg apple and 1kg pine-apple is Rs. 150 and the cost of 1…
- Nilesh got twice the marks as obtained by Ilesh, in the annual examination of…
- Length of a rectangle is four less than the thrice of its breadth. The perimeter…
- The sum of the weights of a father and a son is 85 kg. The weight of the son is…
- In a cricket match, Sachin Tendulkar makes his score thrice the Sehwag's score.…
- In tossing a balanced coin, the probability of getting head on its face is twice…
- 2x + y = 8, x + 6y = 15 Solve the following pair of linear equation in two…
- x + y = 1, 3x + 3y = 2 Solve the following pair of linear equation in two…
- 2x + 3y = 5, x + y = 2 Solve the following pair of linear equation in two…
- x-y = 6, 3x - 3y = 18 Solve the following pair of linear equation in two…
- (x + 2) (y — 1) = xy, (x — 1) (y + 1) = xy Solve the following pair of linear…
- Draw the graphs of lie pair of linear equations 3x + 2y = 5 and 2x-3y = -1.…
- 15 students of class X took part in the examination of Indian mathematics…
- Examine graphically whether the pair of equations 2x + 3y = 5 and x + 9/6 y =…
- x + y = 7, 3x — y = 1 Solve the following pairs of linear equations by the…
- 3x — y = 0, x — y + 6 = 0 Solve the following pairs of linear equations by the…
- 2x + 3y = 5, 2x + 3y = 7 Solve the following pairs of linear equations by the…
- x — y = 3, 3x — 3y = 9 Solve the following pairs of linear equations by the…
- 3x/2 - 5y/3 = - 2 , x/3 + y/2 = 13/6 Solve the following pairs of linear…
- Solve the pair of linear equations x — y = 28 and x — 3y = 0 and if the solution…
- A fraction becomes 4/5 if 3 is added to both the numerator and the denominator.…
- The sum of present ages of a father and his son is 50 years. After 5 years, the…
- A bus traveller travelling with some of his relatives buys 5 tickets from…
- x/5 - y/3 = 4/15 , x/2 - y/9 = 7/18 Solve the following pair of linear…
- 4x — 19y + 13 = 0, 13x — 23y = —19 Solve the following pair of linear equations…
- x + y = a + b, ax — by = a^2 — b^2 Solve the following pair of linear equations…
- 5ax + 6by = 28; 3ax + 4by = 18 Solve the following pair of linear equations by…
- The sum of two numbers is 35. Four times the larger number is 5 more than 5…
- There are some 25 paise coins and some 50 paise coins in a bag. The total number…
- The sum of the digits of two-digit number is 3. The number obtained by…
- The length of a rectangle is twice its breadth. The perimeter of the rectangle…
- An employee deposits certain amount at the rate of 8% per annum and a certain…
- 0.3x + 0.4y = 2.5 and 0.5x — 0.3y = 0.3 Solve the following pairs of equations…
- 5x + 8y = 18, 2x — 3y = 1 Solve the following pairs of equations by cross…
- x/3 + y/5 = 1 , 7x— 15y = 21 Solve the following pairs of equations by cross…
- 3x + y = 5, 5x + 3y = 3 Solve the following pairs of equations by cross…
- By cross multiplication method, find such a two digit number such that, the…
- The sum of two numbers is 70 and their difference is 6. Find these numbers by…
- While arranging certain students of a school in rows containing equal number of…
- In AABC, the measure of ∠B is thrice to the measure of ∠C and the measure of ∠A…
- 5/2x + 2/3y = 7 , 3/x + 2/y = 12 x ≠ 0, y ≠ 0 Solve the following pairs of…
- 2x + 3y = 2xy, 6x + 12y = 7xy Solve the following pairs of linear equations:…
- 4/x-1 + 5/y-1 = 2 , 8/x-1 + 15/y-1 = 3 x ≠ 1, y ≠ 1 Solve the following pairs…
- 1/3x+y + 1/3x-y = 3/4 , 1/2 (3x+y) - 1/2 (3x-y) = -1/8 3x + y ≠ 0, 3x - y ≠ 0…
- 3/root x + 4/root y = 2 , 5/root x + 7/root y = 41/42 x 0, y 0 Solve the…
- 5 women and 2 men together can finish an embroidery work in 4 days, while 6…
- A boat goes 21 km upstream and 18 km downstream in 9 hours. In 13 hours, it can…
- Solve the following pair of equations by cross multiplication method: 4x+7y/xy =…
- Mahesh travels 250 km to his home partly by train and partly by bus. He takes 6…
- Obtain a pair of linear equations from the following information: "The rate of…
- Draw the graphs of the pair of linear equations in two variables. x + 3y = 6, 2x…
- Solve the following pair of equations by the method of elimination: 4/x + 5/y =…
- Solve the following pair of linear equations by the method of cross -…
- Solve the following pair of equations: 4/x+1 + 7/y+2 = 2 and 10/x+1 + 14/y+2 =…
- The difference between two natural numbers is 6. Adding 10 to the twice of the…
- The area of a rectangle gets increased by 30 square units, if its length is…
- A part of monthly hostel charges is fixed and the remaining depends on the…
- A fraction becomes 2/5 when 2 is subtracted from the numerator and denominator…
- The solution set of x — 3y = 1 and 3x + y = 3 isA. {(0, 1)) B. {(1, 1)} C.…
- The solution set of 2x + y = 6 and 4x + 2y = 5 isA. {(x, Y)| 2x + y = 6; x, y…
- To eliminate x, from 3x + y = 7 and —x + 2y = 2 second equation is multiplied…
- If 2x + 3y = 7 and 3x + 2y = 3, then x — y =A. 4 B. —4 C. 2 D. —2…
- If the pair of linear equations ax + 2y = 7 and 2x + 3y = 8 has a unique…
- The pair of linear equations 2x + y — 3 = 0 and 6x + 3y = 9 hasA. a unique…
- If in a two digit number, the digit at unit place is x and the digit at tens…
- In a two digit number, the digit at tens place is 7 and the sum of the digits…
- The sum of two numbers is 10 and the difference of them is 2. Then the greater…
- 3 years ago, the sum of ages of a father and his son was 40 years. After 2…
- The solution set of 2x + 4y = 8 and x + 2y = 4 isA. {(2, 1)} B. empty set C.…
- Equation x/2 - y/3 = 1 can be expressed in the standard form asA. 2x — 3y — 6…
Exercise 3.1
Question 1.Obtain a pair of linear equations in two variables from the following information:
Father tells his son, "Five years ago, I was seven times as old as you were. After five years, I will be three times as old as you will be".
Answer:Let the present age of father = x
Let the present age of son = y
Now,
Given, Five years ago, father was seven times as old as son.
⇒ (x–5) = 7(y–5)
x – 5 = 7y – 35
= x – 7y + 30 = 0 …[1]
Also, after five years, father will be three times as old as son
⇒ (x + 5) = 3(y + 5)
x + 5 = 3y + 15
= x – 3y – 10 = 0 …[2]
eq[1] and eq[2] are required equations
Question 2.Obtain a pair of linear equations in two variables from the following information:
The sum of the cost of 1kg apple and 1kg pine-apple is Rs. 150 and the cost of 1 kg apple is twice the cost of 1kg pine-apple.
Answer:Let the cost of 1 kg apple = x
Let the cost of 1 kg pine-apple = y
Given that, sum of the cost of 1 kg apple and 1 kg pine-apple is Rs. 150
⇒ x + y = 150 …[1]
Also, cost of 1 kg apple is twice the cost of 1kg pine-apple
⇒ x = 2y …[2]
eq[1] and eq[2] are the required equations.
Question 3.Obtain a pair of linear equations in two variables from the following information:
Nilesh got twice the marks as obtained by Ilesh, in the annual examination of mathematics of standard 10. The sum of the marks as obtained by them is 135.
Answer:let marks obtained by Ilesh be x and marks obtained by Nilesh by y.
Now,
given, Nilesh got twice the marks as obtained by Ilesh.
⇒ y = 2x …[1]
Also, the sum of the marks as obtained by them is 135.
x + y = 135 …[2]
These are the two required linear equations.
Question 4.Length of a rectangle is four less than the thrice of its breadth. The perimeter of the rectangle is 110.
Answer:Let the length of the rectangle be x and breadth be y.
Now,
given, Length of a rectangle is four less than the thrice of its breadth
x = 3y – 4 …[1]
and
also, the perimeter is 110
2(x + y) = 110
⇒ x + y = 55 …[2]
eq[1] and eq[2] are the required equations.
Question 5.Obtain a pair of linear equations in two variables from the following information:
The sum of the weights of a father and a son is 85 kg. The weight of the son is 1/4 of the weight of his father.
Answer:let x and y be the weight of father and son respectively.
Now,
Given, The sum of the weights of a father and a son is 85 kg
x + y = 85 …[1]
and,
also, The weight of the son is
of the weight of his father
…[2]
These are the required linear equations.
Question 6.Obtain a pair of linear equations in two variables from the following information:
In a cricket match, Sachin Tendulkar makes his score thrice the Sehwag's score. Both of them together make a total score of 200 runs.
Answer:Let the score of Sachin and Sehwag be x and y respectively
given, Both of them together make a total score of 200 runs.
⇒ x + y = 200 …[1]
also, Sachin Tendulkar makes his score thrice the Sehwag's score
⇒ x = 3y …[2]
These are the two required equations.
Question 7.Obtain a pair of linear equations in two variables from the following information:
In tossing a balanced coin, the probability of getting head on its face is twice to the probability of getting tail on its face. The sum of both probabilities (head and tail) is 1.
Answer:Let the probabilities of getting heads and tails are x and y respectively.
Given, the probability of getting head on its face is twice to the probability of getting tail on its face
⇒ x = 2y …[1]
also, the sum of probabilities is 1
⇒ x + y = 1 …[2]
∴ these two equations are the required equations.
Obtain a pair of linear equations in two variables from the following information:
Father tells his son, "Five years ago, I was seven times as old as you were. After five years, I will be three times as old as you will be".
Answer:
Let the present age of father = x
Let the present age of son = y
Now,
Given, Five years ago, father was seven times as old as son.
⇒ (x–5) = 7(y–5)
x – 5 = 7y – 35
= x – 7y + 30 = 0 …[1]
Also, after five years, father will be three times as old as son
⇒ (x + 5) = 3(y + 5)
x + 5 = 3y + 15
= x – 3y – 10 = 0 …[2]
eq[1] and eq[2] are required equations
Question 2.
Obtain a pair of linear equations in two variables from the following information:
The sum of the cost of 1kg apple and 1kg pine-apple is Rs. 150 and the cost of 1 kg apple is twice the cost of 1kg pine-apple.
Answer:
Let the cost of 1 kg apple = x
Let the cost of 1 kg pine-apple = y
Given that, sum of the cost of 1 kg apple and 1 kg pine-apple is Rs. 150
⇒ x + y = 150 …[1]
Also, cost of 1 kg apple is twice the cost of 1kg pine-apple
⇒ x = 2y …[2]
eq[1] and eq[2] are the required equations.
Question 3.
Obtain a pair of linear equations in two variables from the following information:
Nilesh got twice the marks as obtained by Ilesh, in the annual examination of mathematics of standard 10. The sum of the marks as obtained by them is 135.
Answer:
let marks obtained by Ilesh be x and marks obtained by Nilesh by y.
Now,
given, Nilesh got twice the marks as obtained by Ilesh.
⇒ y = 2x …[1]
Also, the sum of the marks as obtained by them is 135.
x + y = 135 …[2]
These are the two required linear equations.
Question 4.
Length of a rectangle is four less than the thrice of its breadth. The perimeter of the rectangle is 110.
Answer:
Let the length of the rectangle be x and breadth be y.
Now,
given, Length of a rectangle is four less than the thrice of its breadth
x = 3y – 4 …[1]
and
also, the perimeter is 110
2(x + y) = 110
⇒ x + y = 55 …[2]
eq[1] and eq[2] are the required equations.
Question 5.
Obtain a pair of linear equations in two variables from the following information:
The sum of the weights of a father and a son is 85 kg. The weight of the son is 1/4 of the weight of his father.
Answer:
let x and y be the weight of father and son respectively.
Now,
Given, The sum of the weights of a father and a son is 85 kg
x + y = 85 …[1]
and,
also, The weight of the son is of the weight of his father
…[2]
These are the required linear equations.
Question 6.
Obtain a pair of linear equations in two variables from the following information:
In a cricket match, Sachin Tendulkar makes his score thrice the Sehwag's score. Both of them together make a total score of 200 runs.
Answer:
Let the score of Sachin and Sehwag be x and y respectively
given, Both of them together make a total score of 200 runs.
⇒ x + y = 200 …[1]
also, Sachin Tendulkar makes his score thrice the Sehwag's score
⇒ x = 3y …[2]
These are the two required equations.
Question 7.
Obtain a pair of linear equations in two variables from the following information:
In tossing a balanced coin, the probability of getting head on its face is twice to the probability of getting tail on its face. The sum of both probabilities (head and tail) is 1.
Answer:
Let the probabilities of getting heads and tails are x and y respectively.
Given, the probability of getting head on its face is twice to the probability of getting tail on its face
⇒ x = 2y …[1]
also, the sum of probabilities is 1
⇒ x + y = 1 …[2]
∴ these two equations are the required equations.
Exercise 3.2
Question 1.Solve the following pair of linear equation in two variables (by graph)
2x + y = 8, x + 6y = 15
Answer:Generally, we substitute x = 0 or y = 0 in the given linear equations to get y and x. So we get two points on the straight line. To find more points on the line, take different values of x related to it, we get different values for y from the equation.
We get the following tables for the given linear equations.
For 2x + y = 8
y = 8 – 2x
![](data:image/png;base64,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)
For x + 6y = 15
x = 15 – 6y
![](data:image/png;base64,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)
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)
Plotting these points on a graph and joining them, we get two straight lines.
From the graph, we can see that both lines intersect at (3, 2), hence the solution to this pair is (3, 2).
Question 2.Solve the following pair of linear equation in two variables (by graph)
x + y = 1, 3x + 3y = 2
Answer:Generally, we substitute x = 0 or y = 0 in the given linear equations to get y and x. So we get two points on the straight line. To find more points on the line, take different values of x related to it, we get different values for y from the equation.
for x + y = 1
⇒ y = 1 – x
![](data:image/png;base64,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)
for, 3x + 3y = 2
![](data:image/png;base64,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)
Plotting these points on a graph and joining them, we get two straight lines.
![](data:image/png;base64,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)
From the graph, we can see that both lines are parallel and have no intersection points.
Question 3.Solve the following pair of linear equation in two variables (by graph)
2x + 3y = 5, x + y = 2
Answer:Generally, we substitute x = 0 or y = 0 in the given linear equations to get y and x. So we get two points on the straight line. To find more points on line, take different values of x related to it, we get different values for y from the equation.
We get the following tables for the given linear equations.
for
2x + 3y = 5
![](data:image/png;base64,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)
for
x + y = 2
![](data:image/png;base64,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)
Plot it
![](data:image/png;base64,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)
Plotting these points on a graph and joining them, we get two straight lines.
From the graph, we can see that both lines intersect at (1, 1), hence solution to this pair is (1, 1).
Question 4.Solve the following pair of linear equation in two variables (by graph)
x–y = 6, 3x – 3y = 18
Answer:Generally, we substitute x = 0 or y = 0 in the given linear equations to get y and x. So we get two points on the straight line. To find more points on line, take different values of x related to it, we get different values for y from the equation.
We get the following tables for the given linear equations.
for
x—y = 6
![](data:image/png;base64,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)
for, 3x—3y = 18
![](data:image/png;base64,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)
Plotting these points on a graph and joining them, we get two straight lines.
![](data:image/png;base64,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)
From the graph, we can see that both lines coincide and hence there are infinite number of solutions.
Question 5.Solve the following pair of linear equation in two variables (by graph)
(x + 2) (y — 1) = xy, (x — 1) (y + 1) = xy
Answer:Generally, we substitute x = 0 or y = 0 in the given linear equations to get y and x. So we get two points on the straight line. To find more points on the line, take different values of x related to it, we get different values for y from the equation.
We get the following tables for the given linear equations.
for
(x + 2) (y — 1) = xy
It is a straight line
![](data:image/png;base64,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)
for,
(x — 1) (y + 1) = xy
![](data:image/png;base64,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)
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gItQX/CmEDP0O+ujpi54Q+SeC2wYbaE2sL7c3X9vD1TxobsXNix9PiXqj+D91dWcmNvM0gSUw4FmtPrP/TtvetxNWBjN20XA3h7vp+oHyP9V3seNq+219cDeGRBvcDjatvlf4P7Z7Hx4MprrIbdeHdC+VH3/qRTJk8xSZZldW9BYVj4yrNnBgbU2nH5kDjKjuW//jcH+XRux6VefPn2QRr1sxZdg3W6LGjbajsWGu0FNvC32YuQaeks8t8KBaNHPQxDHE0PSe0aNDZ4FyffonTJsIe5PR9SJMAiw22I7M9N6lvwzZmfGI7q9PK6TMBmoQPG2w1jelosU08pKOFNklMR0vTWWErLnIITp/Gp03kdLTAC3x8GilIWYCLFYxN6Kzwd3CM4Z6PVR8bTkfLaFNZO0Yniz7KL/jmNEM0XSGSwRju4In2idVZ83zglHrsF+LNdne2RffRJjLXcRxf4GNMR8vHVYtlt34ZfvgmdauRY3R4qB98fbijv4IvFJ+OFlyl7+FAjKv0rabnZPXLzNZtfApy1UhnhHS0wB0/fTYsV82Ywl80apIfQgcjp6MV0hVCv6x0UKmqtZevkaPFCKdN5MO9sqLS6g5xDG2i2pJa6ezoy9UQ391NIX0Xwh3M6btgjGjWtYm4br05jh3GMHzx6XXhBwGbbeA+njkdLez5BEtjsTk/Rmhae/S/i1MaV8EN7SlKTEcrpLUXw93paGm4O20iMIXTaHLlF9qIfhXzBFz0JUJgRlsYD5r2mMPdJw/gbkwdV50wcTJmEvORAEBf0Ne/VkfLjDfaENN8g/MVJUZHKxE3seG09mIxAokfn+ab09Ei1vjGv2uvjb2lO628Qz5X7ZOsympZvGCx3HjdjfLeE97bo5PFmixXLO4mRsAfsAnNZy7hSvYfXCUGUIhZzR19tTQ5FtN8c/plQdzN+GWucLGZdrKDkH9XLl0pt829Te6ad5eg73fm2WdaAeVDDz3UaoXaWGj4tbM1N1e90WK4qnxcuoRgWFycu7MHHBrvm1RoGARwOjqarhDXEiw4nv8F73yCcg5aHD6C01EMHnenwHm+ErJh29JtX2sL5+Tb8A1W/ubO8flg72SMVpNLony+DurK4Yruky9Ld7jTsZqvxbuLU+HOQNVsuIHEcdfnvYJXCsxcwqH1ncPdccSHmcPdadz0STwNdzgW4qGzQTvU/u3GHV+1Lcb4SSBQ+Z7X/z6+46PF0nCAvg1ytVt/KolJDA+bNKTgaozv7uYoxFUe7oX4bvt3UJkd2xpm4Amu+OO7m3Qc0XB3YsjuvBKzuoH4lOQq9cf4btsSwN0di8aIbhsaV12807SJLNfN+FfHpsHdYRbiamhMECNc3/lwt/1v+i3Y/wbkaFztxiIUZ6I2IrHZTcB2DjFjzDeuuopzPANXLc5wPMRV+O5wD9lw84BX88/w3faL0r9u7DJ3hjBzfvjmxH7FCI2rzKvdcVWLVT1xJmGDv/MkZ8H8BfKNa78hx51wnFz/9eulbmidtLbmdLVcsTbM/K3FdzsP7TaxsjtG+OZEx1UX+waSA2h95/x1fpLc8yF7ygtLX5Bb5twiDy5+UEpKS2T6zOlyycxLZPzE8dJpflrbjDB4d39arpr4b7E1/xIffaUEgTNXCH5ciKiZVlBpRQRQe9UF0IhF5ttN2kLF2okS+upxAoE88dAKdzSIJvpET7mGO0gCYMgPMm4yd871FfcpoWHlw1Q/rLibuVPVfKVDeHrgBNh8hjgHPEO+ktWHcCeAcjcTssFTJDDTzuFOgkESxCyCOwKylBBm3N0h4sevr8AxfA35wSRLmzWuOtyHlw9X+44DcD6Ie3sYd/q+tqVW7X/qoO/ofy1glBeVWx7HcKcujautJa22nSEbViTW2IDzvmI/jdHZHuw7noQSVLCjFcfVEPAh3HlqR7AFs4qyCq+ZNHyP4Y4YJfEuhjsc84nN4hhPcGNche+cQ6zwFbDgnBBX08RmYiIxQiv0O0/fQnGV9oC79srFctX8xmKV5buZTH0lTWyGq9ShcZWnUfA1FGdiXHW4h2yYey37JEprL3MEMY/2av0LlswBaeZEX6IFhmBJfI7hznGNqxyDhxqm1IOftCMZmx+8/0H53je/J6dMOUX+5mt/I2OH5qQLasr7xnAwIZ7F5u/QnEgMoIRskEfAd+01YxrcGTNOaPSVVa/0CI2SWH7i4k/Ih875kAybOEyGmB9Xqsv2fLeRv7nxH8K11xot36u+/IHC5MU5bpLTgnXMTo8NZS2+75VCsi5nQwsqseNcFzsndhwbDFbfqxrnl7PhlJs1zEJrVtzrrYHi7uy82ZjFcE3b/yHMXB1O3V3DPdR37vV3CPdY/xeKZ2kwi427mK+xOlxbuCPVSj5Xtck61r+uT0LtSevr/rAR4lB/+j/GVRX07jjkMNFwj/V/vq+hvovxLNY3seMurhai70JcTeMH54TWaDkuF8JXbPAN4YHOq6H4vjdcXbJkiVxzzTVy0oknydXXXS3Nlf5Xeck5LzbPhObEmJ/5XNUSrTT9W1pRKi+8+ILccdsdMn/BfPtUa/qM6TJt2jQZP368mC/7yoaGDTKkRn/4FJtX8TXbdRiKXtmxDIEMgQyBDIEMgYMUgXydLCQcqqqrZOtOs34q98DpgC4rV6yUn/zqJ/LQ4oekpqpGLrzwQqvkni802tLe+5uwe9vgLNHaW+Sy6zIEMgQyBDIEMgTeZgi4ZUH5iu/sLiTJ4tViaIf8gQDFqlWr5JZbbrFrztqL2m2CNfOCmb0SrEK3I0u0Co1oZi9DIEMgQyBDIEPgAESAJIr1Wfffd79cddVVVvH9uuuuk5oa/3rat3oT85PC5cuXy9y5c63QKK8IZ86cKSd+5ESZcuSUfd6MXokWa15C617c8TTnhDyP1ZOm1TEbsePUETsndrw/fg4Es0Lh7tqs+Z2mvbFzYsfT4h7DNlZPITBLYyPmZ9r2hvhRKBsxX2OY9sePgfDd+TlQG7H2xI6nbe9AcU3Ds5ivaWzE/Ezb3rcbV2NzVZrjBwJX0/Q/r9DuWHCHfPf67/Z8VidfjDTGw/5wKMajmL8xXyrLK4VdzAiN3jznZptgVZRX9HpFuKF9g7R0tUhFkX/TTayOmI/ueEn+ojO3oE9biJa/GJ4G+Er+4m/Nidg51E9daReZ7ys/Yn5Sr/NT89XZ4F92QWq+0qGajfwFxgPB3S3ujvn6VsBd0z5x+IFnCLN83LUB7Rayqnzv1oKzdSl8fztyNdb/LDBOw9XQ+A8tzHY6QqFF82nGZuyc2HH8j53jFkvHMEvTFsdpLUbw94Hg3h+uIhfxpsZVM/ZCHIn1i+u7EFfT2gjFItf/afq3EBwZiI1g/5vpnPlp8fzFcsN1N8hpU0+Ta669xiq+J3OEUFvTjhmHvTYnuhiQpr35Gx54guXi/UvLXpJfz/m1PHnfk1JcWiwXzLzACo2OHzveUpt+bW42umNVtdI1yC84moYjsRyAukrWNK6xwYQGIwDHbhO2RSO+lywYRJiNf60gJXtf8wo2EO1Ca8KKb3pscDpChBxnC2jShhMs3da2zfrjEyujHvzmGFuFk/VwvKGjwYqd2cnY4wfnrG1aK7uMiKcVeEucw3W8j8YH7Z0022gR/0NYj1/kFfILNtjqirAa/+0VLDV+IJzJcbaa+vygf8AshDt44S9bmn028AuxOuxQEOBL9h3Ce2z/tgHdgxk+OtytwJun/xuNqCaCeJzrFRI07V3XvE6qi6tlZ9nOPvWwbR8fEYFb3bDa2vDVE+JqL9zzBl6yvQg40k621nv5bmqGI3Y3kJE08Anr0e9gTx8iS5Es+EJ76FsNM3BHxNEO2BBXTd9oXKVucIfXPhuWq4wp4y9Ce5pgKcJ7Gt+xzXHGPvX56iEw2hhhfryCpcYGuHPchzvrQDjOuHm94XWpK66Tjo6+XKUtyLP4+E4fpMEdzLe3h2PEmqY1dkz4cLdcNfxgXK1pWJMTLPWMCSdYuqtsl3dsEgsR18yfJJJcjfEdjoI7PvhwR8oCjiIAqsVV6lzXtM7y3StYavqOtlqukggpMcLy3fQNdWoxgripxWYnBA3XwAXB0WRcxT7t8Qm8cm6Mq9RtcTdjQdu1hg3HVcaLb56xgqUGE2KVr3+xYQVLjZAlnFYxMzziHNruwwzBUmJrMEYY3JHn4NVfsh7iFzzETnL8u8/qLLp7kdw424iRHv9eueKfrrDteWPXGz3Qp5kTHe7Uhy9qjDA8o5BvJNtLrCKP4O/gT7t9hbHHPGZlREyiiCQDbVn6/FKZ/7v5cs+Ce6S0vFTOPvdsOfPcM+Xwww+3seTVXa9a2zZGGBvwS8OdsU981uZEpE7AFGxHN43WBUudhgSGEF2j4Wgt+Yrr5AnVE2yw9RWUbSHU6KqcPL2vEIzHVI3xamDReLQx1pett/9qW2vpQPzUdIXonKqWKhlfk8teve0xnwpC+0LTP2Fw0c6JNRO91+MrekIjK0faX5+vYAEJJtRMUAe0FdU0BNF0ReydiPkJ4V7dWm0TvbFVOX0TX6krrZOx1WPtr684pewgZsaPEO5MwHCA9mrFrQPQNFIYPOiohPwoKc6JL2pcdbjTd9oTLb5MALajKkf5+QHqJvkZXz3ey3fLVdPvDDT6LsRVuKzp21hFfjOYqUflqrFuNbsULSaHu4aZ5arhOv6Orhzt9ZVAz/jX+I5vTgByWIVfW85xFRuqFlMAd7iBbeqBQ9UVvTVrHD5p+E6MCOFOwlDVGokRBil0tDTNNyZrxtW4mnFBvof0i7BBu0NcjcVmd+cPZppQLBwlMQjFVZIs5gRNA8t9PSI0Ni3uhmckWr5CbGYshLhKbGBcMo/4xhXtAJNQnIlxNR93rfPcwwDa4yvMEfQ/bdF0lPh6Cecx52kF3GkrE76v1LbV2oQ/FCPAHa0sH1cZ/9xkEVeT4x++3LPkHvnht35oxUi//a1vy/Da4bkvuySk0GJzIr4j3BnSBXRPAeG7JuI9tCKn70l8H2Z+fAXOgzvJDmXZS8usDhaL3HkFOnPWTDn7/LPlmEnH2OO2Pahn5CloYGNklc7V2JwIrhZT03f0rzYHlOQPSqtyHfneIee483yN5xiJRegbQzEbThU+9L2jmI3YcTtppGhLqK3YcN+5Un01WLh6tCcFHHffkfRhapWnC+Cr+zyH1jexOgqFWayeGB5p/ICDrh4tuHGc4JRxNYdQrF/SnJPPVW1MxHB3/RGLM7GxGWtP7Hia9haCq3wbNg1XQ7E5De5vp7haiL5zuMfGP5NnKGamiaudgzoHFGcK0V5sMCaT4/K+e++T2dfMlqmTp9onWXW1Oe0GX5sL4QfJSWxOxEf3FkiL3yRTJFmswWKRO98i5PM5F190sVww/QIZMmaINHbteRq2N+1J01731Y1gvpLfCN9rGt/xkIBbzAb2YueE7Dt/0tiI2SmEDdcejQyuDveo0ndeWj8HintaX7W2pO27tO0JYRbyoT9+xHBPg2nsnEL5uq9x35/9H8Msdnx/+jpQ3AvV/xlXeyMZ40gh4kwhbBzIXHU6WSeeeKJce921Voy0qa2p53M0SW7H5sxCxeYYphxnDdaPbv+RLFm0xL42TOpg9XzT0f/hF9u0WHtix/PzkVAcyOQdYlEyO54hkCGQIZAhkCHwNkMgX4wUCQfWR77R8IZ9FfZWLk6m4fa7bpe66jqZMXOGTD9/uowbp7++f7PbkyVab3YPZPVnCGQIZAhkCGQI7AcE3PKV/CQLMVIn4fBWFiNdsWKFfUW4YMEC+wTrrAvOkssvulzGj9PXtu4HSFNVkSVaqWDKTsoQyBDYFwg8/fTTdsPBCSecsC/MZzYzBDIEHAJm3WplVaU8/tDjcvXVVwuvC3mSla+T9ZYBy/jKeivKypUrZc6cOVYHiwRr1qxZ9lM5xaOKZWSR/hH1t0xbjCO9Ei12K4QWBrrdYtqOQxqGDbvjK1A4h10JWmEnYei4q0fbcchxvqjeWtp7W3CyPvzQdnFxLj5ou42cLc4J+QFW2AgtlON46E6Cazknhju7PUKFnUSh9oBFmr4LtZdjMcw4HjqHY9quJ9c+iwcbL5TicA+J4tlt0GbXiVa4NoY7u6e0nUL5vmo7DjnHJx3QX66mwT3G1Rg/3Lhj67ZWHFdDcQRf2wa1ya6du+RLX/qSXHTRRb0SLfDEDjv1tGJjVYTvnBPCnePstIzFqkJwNdQW8LQxgB0cSonF5jS4p+VqaOxZrgbGjOOItuMwbWyOcRWOpIkzIa463GP9H1rHhZ+xcYOfIT8cZqE4go3YerJYXB05eKQ89uvH5PHfPS5nnHyGXDv7WjPJ9W59zEaaOTE2vxMbYnNiXVWdvPDCC/KTOT+R2+fdbhOsT13yKauDVTui1jqN9IP4N2na42lxD3E1zZwIJuQboVIy95W5duAw0W9v3W4DHO9onWBY/sV0NNolw8uHe/UvsMH2X+yxFd1nA3vYGFI2xKtNxAT5xy1/tFoXbDNmC26yUM/m5s3WT7v91twR5xeOo1vE1swRlWbbfeI453IOHUXQ57ePjW6dFfR6NNkFBs9jmx6zGhq0KZmkEDjZUrqldYu14QukDnf+ZUvz3uLe0NZgJw22xfrwQN7nuW3Pya9X/dpumU0GS+pHIqCpvUmGVw5XMYvhzvZfOBDCHY0UggqTT9JX+Mc25Ge3Piu3vHILqxX7BBh8RYeHAevjalrcY1yF73BkWPkwL9/h6uObH7daP2z/9nLV9DrcCHEV3NGEQ9ZA5WrzFouX1eLy8d1sd0cTTsPdcnXzY1YHi18fV9t3t1tcNb5b3Fu22YS/tqw2zFXDsWLz02dyoD+LdstZh5wlC+cvlNNOO03GjBojzzU8J8s2LpOyyjK5f8P9Vqvpf1f8r1TWVEpXZ+9kGD84jg6Xj+92fKfAHcyxE4wRAdwdV5/b+lyQqyG+W803I2eCvlUsRmix2elRWa4aDvlwp88e3fSo1SdCrsLHVXBDYwuJgNJBfXXjXIxobjdcrdS52hMjzI6wZP/b2BzhKr4+sfkJG79fa3jNy1ViHTqJmlSFixHcjPm4mo87NnwFGztad9hD9eV9YzPH2zvbbVz95YpfeuMZ5zAuwTvEVXBHHsKnX4YNNKnALRQjwN3dXOTHCPuApLpGlt6/VBb+YKG849h3yLmfOFdu23SbtLfvmV85L8ZV2hGaE9PECHZ6w1X47nTQuK68otzmBG2vtcmv5vyqR6bhiNOPkDMvOFOGHDpEFrctlrZX2mzsIa7CVfrYxzP4Q/+kwt1ILPniKjEC7LU5kZu9p7Y8ZdtxxPYjrK6fr5RYMS4T/Fzwcts/tQmfStlS6dVq6Q6ATOJW0NST4OAENqzGiRnMyeLEEBERQ2+FYOpLtLBB49pL2tVEi3N8E5NLtDjuVF19vjLxWBuKHgz6VyQWTJSc5wteJFrOhpZocdzJO3hxNzhGcTcCrdRf1u4nDHYhHZhWtFd4Ey1IZfWYzHFtwre+koQOEHcmerujI8ER+Of63Yl4qv3fvVXZ52sa3J19jav4R3sJfj6+ExTADA5oXOUhheWq8dU+Pel9T2D73SVavpuGHq4iVmh+rAaNcmMR4rvjqgscPq4y4Yf4bgO+8QMs+G8f7ox9bPBJC99TXK4ZWz9WFv5+odW9GT16tLz00ksy8rSRws1CeVl5j2Ay/9/ZYQR4O/yJlsZ3y5c83DlPDaJoOrX3TV7T4E77bMJn+rVHnNHTv5yj8Z160nI1FJsd7sRmH+5oTnHzyWStcrU7NsN339PiXlxt73uDm8S9rdjPd/ywWloK7owrF1cddr3vpCUXywzPdhXnBJa1GBHiqsO9obhBt9EtEsqE6uMQfY8vTsTVdw7i2fS/Lza7iu2caBIG+skbI8wNMH0XjBHGhuNTjx9mHPBq8Nbf3yq//u6v5d3HvVs+f+XnpbO6U7Y1besNa/f8HeJqbE60eYRpLzE1TYxAD7GsvMxy9uGnH5Y7f3unbP/jdtm5e6ecc8E5cva0s2XQSCM6bm62tuwyQsd5sQ/M4IrGVTcnx3CHI2VdRjDMM3ZjcyLtJEdxOYD2Rqjk8qMu7wGbk6k09NqOLFK748UQA4TKQo/KyZo1wUNsPFL3iM0SP37Ex70DgD9y582dWajEzuGOSBOZc3ZjvvJU5Jihx8jpo09XXYlhRmdCytCj45gNMEewNPQq9OVdL8ufvePPgrtKeKrJ00itxDDlOrbVcqehFTALPTqmDu5GPnXUp1QbBGoG2EC4SuBiggq9Co31P4KJL21/KcjVGB4M8B3tO+wTTa3E+iUN7tydHz/8eDll1ClqPbH2uuBG4qaVGFe5bnHdYhk8ZLA88cQT1szfV/+9TDk693HX0gmlsrh0sfzlu/+yj2CiqzMN36O4p4gjMdy3tmy1XP3kUZ8M8p14GHqdGsMsTWyO9d3YyrH2CVEorsb8sFw1Ar084dFKIXCnLe8f837LV63wFJCnzVopBFdJCrnBCb2Cfn3X6/KX7/pLtX9J9JkXQ686Y31HgsFDkVCM0GLz0w8/Lb+Z8xs545Qz5KQrTpJL33Wpihl9yxwSWuoS85Wkk7gcel3KWx7ejFE2vrpR5t46V5bNXybvrHinzPjsDFl71Fo59LBDZfqY6Xsdq9Lgzvh14qh7G3tRl585aaYcWX+k6muvRS4EjFCiRWcDIq/9tPVC2IglWpwTeo/LJMokGCrYCL3HxwbnhJIx196QMjznhJJC/PR9eiV/QgAzAoJGXuoIJVokA2lwjyVaDHbq0rbvcozfUKIVwx0sOCeUaHGc4KUFDY4nPxGT5ALnhBItOAhmvCbV1r5gI5Ro4SPn4KfGd9qbhqs8FVWV4bs/fRQKopar5q46pAwfw909zdDGFXfnMb5znAA6rFhXawZ3+l9LLJiIp545Vc448wx5+OGH7ffGiir2fAfUfgKs+8lYdZl/7QN+xPjOOSHc8TNNjHDr/Xy4peUqr0u0mzomhDRcDcVm8HJjV8M9DVfxAx6qyvCOq4FEy+JuXnGHlOFjuMe4al8/EpsDiVaMqw730IMDF6u0sUuccnFV61/HkVCixTkk49rNtvs8WixGJNedud2F75v6Pjn38+fKoh2LovMqJ2j1uLaG5kTaYpexBG6224va5aXlL8ltt97WIzR67rRz7SJ3ZBpufv1m2dXgf1rpGuDmMi2hS4t7ZanO1TRzIpgwbkIl23UYhCc7mCGQIVBoBHhFubN5p1RVVskpp+hP1wpdb2YvQ+BgQmDJkiV2d+HkyZPla9d+TV43P60bwhvE9gc+y1cslx//8sfy5P1PSkV5hd0MM23aNBk7ds+n4Vpb33w/C4lFlmgVEs3MVoZAhkAUAZ4whnbYRQ1kJ2QIZAh4EXBvTdyTLJIsJBwqqiqkaUtTcHf7voZ01apVVqZh/vz50lXSJRfNvEguuOACGTNG/wbkvvZpf9nPEq39hXRWT4ZAhkCGQIZAhsA+QoDlJ6w3vf++++Wqq66Sk046ySZZNTU1tkaO76+SX5cTGiXBQhsLJfepH5sqk4+YvL/cedPryRKtN70LMgcyBDIEMgQyBDIEBoYAEg5/WPgH+edv/LNMPmmyzP76HsX3gVnu39WVlZVSPsh87HnFKrn5lpt7C41OO1/Gjhsr69rW2XW6B8uT7SzR6h+HsrMzBDIEMgQyBDIE3nIILJ63WG78+o1y+pTT37QkC1BWLFsht91ymzx232NSUlZiP/aM0Kh7RdgpncIarN2lJtHaj0/Z3swOK1ndsNoK5rFTBaFI3vGyO8Wn/suuwzWNa6zui0+7gmsRIuM4uw40BeHVjavtcd/OFnYSbmjeYCUCEFZkB1Ky0DlrGtZYLRav2Gi33g/bXX1aTe4x6trGtbKjLLed1acJhI/4oBV2ouAngpX8+nafgS2Cptj37TrkbwjNofvjdlsl6wPHGO60lfrZbecTI6V+tu7S3xynj/KLFdYzu0WsiKf50XS0HO52F46iCcX2X4rPBu1d17TOKun6xEbhIT4iRcBWdM0G/cK5GlfBgXpsX3sUtx1XwYJdI16+mwaCO33o4zs7hOh3tplrXKV+bNC3vh1FTtDQ7YD0+YGv2EACwstVuGNEJPFDwz2fq/DRt6szxnf82Ni00e7AZOz5fOVvbHfmX9/uN8t3IxFDv/pw58O2jAf677Vdr0ltUa3V0kpyFdkFje/uXDCDHxpX2SnEmIjFCHZ8WWXuhH6Z5aqJZW5cJccUfji+E6eINV69PrPrEB6FuBqLzRZ3E8/wwYc73IOjjM0YV60+mdHS8sVd4gO4MVl6dRINF4kRIdyRXQjFZnzlODxd32i4ajQVk4W+t8rgiRjkzkvDVdrJXKM9VXGxGX44KZgkD/k7/f96w+uysywn1p1fsMEcgdYS9WlzIlzFlhYjHO5c38tGt04WSda3rvuWHHP8MfKZf/qM7CjZIZt3mXmlu7Azj3HJuNHGP77CIXY/auLZ9AVcdMUKjRrVdsqLS1+0+njz5s2z4qMfOfsj8tHzPipHHHGEFUZ9teFV219wlNiszYmMV/qW49Sl7epn7IGpb9ehE6xNgzu7lytKjMS8Zz6LzYmMEzAF21GNo9QvTZSMrhrd8wgPoBmkbIn3yf1b0Usj4jm2aqx3uzuEpdEESWe3zwgxfwCcMVVjxKfFgw30Nehotu52lff9RIpV9TV14KdNtBIIcZyJAPE+fPW1xamHsyXXTl6eEUsncd7Y6j27IXoNIiOYip/4YdXWzU+yuMQHG75EC/tOVI9txj4/GFhM9iHcGaAQBly1TzUwWdAvvr7BD0hVVVwVxMzh7tvujA0GBRwI4U578MUOZk/fMeHXlNXYtviKXUptBjjJj8ZVi7v5AXevUKz5KwkDvoyqHOXnu/krdjTcEcylfvTYNK7iP32H+rQdzImCbztLdkp1e7Xad47vyG5oXCWRQ+xQwx1fHVfhmY+r4B7iu1vEbuUdULH3jJkerhrcvaLGEdwZI0iyIGVB31WXm68HlCe+/GBsIB0Q4zu401aNqyQMjJtgjDBKz/jj+wQKeDh9JC3eWdV2wzEmL2KNDzMrqGp+QlyNxWZ384QNb4Jr+h+OglmIq3AAG95Ey7SlpqTG3oxpmFm+mzGD2r5P3qEnNpsb6hDu3ITRd1aR28MzkhLHETVGdM9HGlfzcddsONVxvvzgi1X4ATeIVb7+pb08PIAnodiML6OqRvkTLWODG1Pic74NN98uWLxAvvfN78mxxx8r//ytf5ZhdcNyE36eHjjnEoNQydfGv5sTiTG+2AxGtINYMq5mXI/g+AsvvmA/9sy3CGsra2X6hdNl5oyZ8s6J77SwWpxLzBjufn9GosWvNidi30oMmUuQiNDkhrCLDW+iZdrL2I7hDldHVpnYbM71xmZzkxWbE8EUbO0XJpTMvyTfSaeArQqNmYZzjlWGV74zxnGAComVcY779RHcqb2Gvu3nrtfqiR2n3ug53e0NffvLqvmiTmsmbV/hcxgOM+0xKcc5prWFBDcN7pA3hDu+YqcQmGmYRDFNgbtTpg7h7s7R2pKPu7djuv1ggopxNcT3/nB1X2LWWdQZ7FswiHGVQBsal27M0OY0XNV046gjhDu2nS8hrsb47sbMvsQ9xsM0cYZ46XwNcZUEaiC4p+UqfB9ojMDGQHB3XI21NxYjQlx1uMdsMHmG/EgTV4nhaeJMfzG779775BvXfkNOnXyqfZI1uM4kKN2xLcklx9WBzKvMU/U19TbJWrlipdwy9xZZuMB87Nk8wbrsosusDlb1WCPOa35cSbabsR+bE+1XY8zTupiv8Ew7hzrS4B6KeY7HA5lXbezN7wz7CF17FmtOdMfTnKMFDP6etp63k43Qwr8Qnvl4ZbjvYURaDsVwT4NpmnPeTlwtRFsGgpm7diA2DsQ4k3G1/+O7EFwthI03g6tOwuHEE0+Ua667RhrLG+23ajVR41jMTDNmSICWvrBUfnbXz6xMA68N2UXIGiyng8WrSfuhZfM02lfy8wjttW1sTkzjayHaWwgbfRKtEOGyYxkCGQIZAhkCGQIZAm8+Ak6MFAmH2bNni13baNZkVVaYtbP7qCxfvlzm3DJH7rj7DhlSM8QuckdoFCX3rIQRyHYdZgzJEMgQyBDIEMgQeIsjkC9Ges0111jFd5IsPhpN2Vc7+EiwWIO1aOEiKSotkvNmnCefnPXJLMHqB1+yRKsfYGWnZghkCGQIZAhkCOxvBEiyqquq5YH7HrCf1eF1YX6SVSh/SNYqy3JPxVauNGuwbrnFviJEaJQnWGdNO0uqxlbJiEEjClXlQWGnV6JFZ4a+2k0nuN0vGjos2Owa1Hf3Xf75MRscj2XnMRv4EWoL/hTChsMkhEcM11h73fXax2KpO017eR8ewiSNjUJgNlA8XN+laUtIEC/GD4dXCPdYWwrFs0LgnparocgX8yMNV2O4u+MHAu527HrkQ5LxrhBcDdlIi3sa7AcaZ2IcSRNn9gdX0/hBW0LrheyO8f0QV1l39eu7fi0/vunHMuWkKXLd7Ovs68JCz6t8f/T5Zc/Lot8v6kmwLrnoEpl2/jQZPWa0rQ75HcmJzXtL2v6P8TmWgcXq2V+xOcZV2lGCRozVvDE/6EHYnS1mwZtv+7fVYjL6RltLtqryDuifsK2arb0+G1SKDbZTsmAuWdjBgU/IBCDRwPbLZIHYzle2vfq23TZ0GI0cU09daZ0q78Bx2kQdvsHE1lC27te31Xv7nN0OLD5k263mK7apZ1vpNr+OltlxRB12l9UgsxvLIxFB/6TBna3b1cXVfWxgm/axFRncGLR9dLSQGTC4s3VbkxBIgzs44Gt9ab2KOz5YzA32Sdzhn9VI6mixvvj6hQHEOXDFbb9OdpDDfXtZDttkYccRNsC2oqjCz3dTOxo5cMy3s4W/7WrbZTkQ4ypjSpMioZ1Wq8lsnfe11+JuOELxcdVtmQ/hbrlqxhT+ar6yJRwb6D35isXM+MEOHHtDFeJq6VZV3iGEe0lJidVpol/QH2Kbf6eRWMgvDg8kLXx851zOoS0h3J2OVihGONxru/pKwFiuGjwYV04HTeMZW9HZZ+TrX47ha4yr1KfxHbzAFakBX6JkuUqcMhpWWv+72AxPfbvfLKZGyw0O+eQueuFuOMK2eC0246uGO77Stz2aXUnNP+MHsc5ytVThKjGim6tasuRwj/GdOMXusyTfwYO+d3F10G4j5ZEYE5zDnMhcAh7qnGjiDPNhUmaASbyitEIWLFwgN82+SaZMmSJfuPoLsrsyF5tccXznX42rnE9cze9/Zx87y5ctl/+9+X9lyaIldq3Xx6Z9TKafP10OnXSo9Zv+sG01uNa11ekxwvQtbXHzTvJE5p7QnEj/MzYpIa7iB1zV5B3gWAx3yxEji6NxlTEDbtqcyFgDU86x+nIJrrq2lzDwnMgdjeLCyg6TJCWE17gAwnEOSYwmWMoxAmNjac6ur2CDem3wSRQ6iEGGhlVrR6sdUMkCObBR0V6R28GYEBK0x7sDCv5oopeuvXYgJmxQJxMPk6jr9KQfJJP4ib+ArQmWWsxMJ/gyeP6Gr/iMr5oIZBrcqd9nA9u0j/Y4X3yCpRazbtx8fvTg3jFw3Ml9kAhJ4g6vSAjAVRPFhKP4yYDUuEqy79rqTbTAvVt0U8MdboVwd9plLV0tKlfhjLtp8I0H1+92TCgioHAEHoKN68teiUcKvvdw1Ywn+OoTLGU8Osx849Zy1fiIH7Q9yFXDd02wlL4jcGMriQkBDx6DvR0znUV9BEvxg2Ma353v2Lf88Ajw9uBufNFihOM7PPPh7rhqceuOo30SrW7MaA8Tgg+zfNxDXA3FZuzCM3DRBEuJpfS7FlfdxEZb2oqMDlOi9MTVNDHCxOauLiN8nNjF7mxYX5XY7PSP8Jc+9nGVv4W4mh8jNK6m4rtpq+WiJzbTFvwgroK7r38tV821xDMtzuTjnnywwGd1fnvXb+Vbs78lx59wvHz5qi9LaU2pbG/e3qt33NgkafBxFd9cXLXzq/HZCY0+9cxT8vtbfy+PLHnE6l1dMPMCOXva2TLh0AnS0dEhW5r2CMPmzyFqjOg0c7vR22Qu9/GdMR+aE4lVrs/BTRMsdXOzL9Fy8yoCqyHcbWwmHpnx48sj6Fc3B/hyBLRAXQ7gcPXhUpIvCunuVBHo0wpBa0L1BPXVHqR2gnWqDdMo6tX0LxCQRCl5aMVQ1Q8ajVik76kYFzFAyXYRxdMKAwiROc7zFdpBMB1Xre+qGFIxRBCzQxTPV/CT4DmhZoLqh9PRQpwt5GsId566EJjATis8HRhfPd4KlvpKU1mTvSvWhEK5JoY7AwSByBDu4MEdMb9e3E2SVFdeF/SDJI2+0bjqcKe9WnGBAB6puJv+w4b2Kpu+524myFXDMwTtfAK91MvTP55oxXBHuE/jahrcwQp/tfa6G64Q352+kSYiaDlifibWTNxr3PGPiRIbFeVGSLDvg2/7lDHGd/wI4W6fiBk7Ia6SJ4CbT/SUBjJZI1iojSnOge8Ilmrb7gnyTAwhrqaJzdQVijNgAU9CXIUD9L/2+tBytTTMVdoDzzRNqDSxGcyJZRpXrSK4SSpCXHW6YxpXHe4hGzzJgkdafGeO4MkcuGv9y5gFdzDRCr7AoWTSwJqsH934I5kyeYp89bqvyiFDDsmZ8CgnYIM5ROMq8aW+IiewTXl55ct2DdaCBQvsGqxPX/ZpOfEjJ8qxhx27RweLxUV5C4zSzIngTmxF9DRUQlx1eMMDLcbTXvpOewWZBnfmCQRLNa66OTEUI+rL623fIViqlV5rtLQnUO5inHKqrr4nWpznjocA7rHRW8ar55I+nxnwGIvVEzuextc0NmK+OhtuUPtw4ZzQOg+n+qx9+ihNW+wE2N1/Wt+kaW/snNjxNL5iw/t5jzzHY5g5P0LaRJzju+Pq4bsJsDG+x/o/bXtjYy+Ga+w4fsR8TWODc4p2FwUnDGdHm6xjuLs+CWGS1tf9YSMNV9P4EeNqKKbmxwgN91j/53M11HdvF66m5VBojZaNVd1xohBx1UgB95hxEg5Tp0yVL171RSmu3SMCqs0job4pLS+1uwZfXfmq/L+b/58sWrTIPtXiCRZCo8g0bOnYIg1tDWqSlBazNHwPzYmhuOza7nzREq1C+hobezF/s12HwZw7O5ghkCGQIZAhkCGwfxFAjNRJOFx33XVSWl0qGxrM9zADi9BjHq5fuV7u/q+75ZGVuVeEPh2sltYWKS3N+3ZPzGh2PBUCWaKVCqbspAyBDIEMgQyBDIF9h4BbnuAU3/PFSFmeENuJr3mGTMPcW+bK3D/MlZ27d8qnPvEpOfe8c2XMGP+3ZPddCw9ey1midfD2fdbyDIEMgQyBDIG3AAIkUawHI8m66qqrhCSLJ1lOjDSti/nJmBMa5WPP9dX1cto5p0nl5Er58w/9eVpz2XkFQiBLtAoEZGYmQyBDIEMgQyBDYG8QqK6plnn3zJNvzv5mTvH9OqP4bv7Wn1JRmZNM4mPPfCrHLXLnFeHM6TNl59Cd8qvlv+qPyezcAiHQK9FiQXZoUbY7nuackH9p63k72RgIZhnufZmQlkMZ7nuwS4tZIcbdQHHHh4HYcNcfSDYG4msWI/Y+RsT4HjteiHG15O4l8t3rvyunTjlVZn99tlRW9f5mYawOfFyxdIXM+908K9NQVl4mF198sZw/7fweodENWzdIR1tfXcr89sXqiR3vz7iL8T2W48R8iR3vj69pOBA6p2R142qre8Uuk43NG+2/aEv4dg2wu2ZN0xp7zCecx+r/N1resIKl6G1oOw/WNK4R9C3c1tl8B5GHWN+83ooVbmre5NXQoB5soI/B9uzkin+ns4MYGTtCfDsCOGdt41orzsi23OQ5dBI+4gPFt/OE7aO0d0PzBosd28WTpAULvmbO9Qg++gQ6N7VsspMK1ycx4+/4trZpbRB3J4rH9tukDacTxnt++huJjqReC+cgSGeFF/nx6KilwR3NEfqOotkAD7Bj+2/yHLY3ozxM373e8Loqauq46tOeAjPat655ncXbN6Dh+eaWzbZ+tl57+W6uhSP0oY/vcJW+f6P1DZWrPMqHq4wptl0nd6g53J1Ip8+PHq4asUgfV51mzNY2HXfwpl/wF+mUpOYbGDFmwVXbZQVmXI8IqE8Dy/U5XAVXzvfxPYR7VZX5OK7pF3B4dderUldUZ7V88osTrEXewcd3G0DzcKftA4oRCu7I0zCe7LgynPXpdYHBuqZ1Kt/BHakCYl4oRoRiMzbAi3o0rsI9y1UTr3yxyuELV/GH7e7Jvsvnaqf4d+xyDpjAdw13dIu2tW1TYzPjCi7THmJFUkeLvkW3cHPrZlUENp+rXg2sbtzBRCsuRjBmGS++uGoFPNtNrNr1uiAj4TuH2IzWErjmH6cdvBpcMm+JXH/t9XLsCcfKZ/7pM7K9eLts3LWxxy1fjCgqKurRwVq+dLks+N0C+cPdfxCU3c8860z7qZwjjjhC2tvb5bWG12z8IpYh3+Mb/1RGexm7zKm+2Jw/J8ZiBPzxifg6roZiBFwlBlC0HIBjjqvMGT6uujkxibsDFl9sbO7UuUobmBe1OZEchnpoz8jGkTaG+krJiIoRPZMRxgBb0y6BcCQf6JtoGliQIqajxcDBhk8Di8YPLRtqNZbobLSffAWC46emK4RuDR0Q0i4BFOrQ9E/w0+ls+CZr/oaGDjof6HH5dEPAgo6mvQwsnx2bDJhj9EWyOEHWGO60lYknpOUBVmCm9S8Er2itCGIWw50AC4dCuIOH619f3zKJM9hDNgj0BA+tLRZ3I5qHvol652REU5mANczAngCp8R279D2TV4yraBhp+jZMLBUlFcG+g4sEco2rTaUGd6MtpmGGr2DudGl8gZLx4PR8tMmHiQKuabpCXI+dUVWjVC0mxGo13AcVDbJYEkewUV1mXp+U9fUmDd/BjDGl4e5UpUM8wwaYaZpvJA3YCY078CAeESN8hfFAguS0uHx8jcVm8MQONnzSDI6rjC0tVuEb4xvcNV0hy1XzG8IMG+CB8KR3fBsxa+aPEFdrS2plWPkwqwvl46q9UTA8wte95WoSd80O9Wv9Cz+IVSOqRqj9S1stFxM6S+jqLbhngfzL9f8i7z3hvfIv3/wXqa+vl7aONhlU1ftrFlY13sQINJ+Y3Il/Lyx7QW699VZZOH+h1FXXyfkXni8fn/lxOXzi4RYzm6CiCNHdDeDpYoCWKDHPEGM0DSw3J4Z04+Ay/vp0Id2DD8YENnzSDHDV1R+KqzaPMP3vEyylLzXc8/vZ9ovpO42rxA7wjsVVy9WA7mdJvuQ/Rp3qs0Y6OpvAEhIJg8DJTwnk23M2NIDoJAa6JkaKLXzFD60eOrSppCmVH5oNAha+ap2AH9ZP0xGar11F5hMv3ZhpmNIW8EyDWQh3Ak/IBnjbZMoESl9hEoV4IRsx3LFLewdigzrwNWaDJyvaOQ73UN9RDxPUQHCn79NyVeNIR0kuKYy1N8T3NLjHuEpgStN32EmDmZbgxnC3Ar7mJ9Ree4MV4bsbd+rYNH3PzclAcE/L1VBbLNcjcaY/sVnDPQ1XHWaaTqLlasr4Tn2+kiY2gwn9pvWdjZcp4kyIqw73UP/bp3LmJzRHuM88aee4+TJ5/L5775NvXfctOW3qafJn//RnMrQ+J1jtuzFoLzVPGSvMXDMotwYLoVEWuSM0+qeX/alMmzZNykaXSf2gnEgoHEjWB14O19BcFOKqmxNjY8Yl5Fr/x+ZEl+iHcgBnQ9N803D35SIaV9PMiW6uCmHSa40WT2+0bzHhnP02Hed0Kxn7QORYTMDP2QjdQYRE4pwvIZGwQviRyoa9dzDy0UpxNkKYxXBPYyO1r55PDTnXU9no7v9Ye1VAunkU6jvfNxCT9tJiFhKBdHwO8jDC91zv6/1/IHJ1IH2Xz1UtAKbBHR/eEuM7wvfUXPW8ik+OuxhXQ7E5Fe794Wrfz4Nad/dbjEgZVwvB1ZAN295YfFeWp4Tiar6EA7sLd5Xvskm/dmNIUvHos4/KQ3c9JPPmz7OvDWdeOFOmT5/eI9PweuPrUl5Wrj59LSRXC4F7cE6MxNT8uBoS6B1oLpKK7ynGVbbrMMSY7FiGQIZAhkCGQIZAARFwiu9OwqGquko27dxkJRh8ZcWKFfLrW34td951pwytHSozZ+YSrLFjE5+XC9/vFbAFman+IpAlWv1FLDs/QyBDIEMgQyBDoB8IOH0rkqx8xfeamm6pd88TRKeDtWjhIqvkPmPWDPn4jI/L2HH693v74VJ26n5EIEu09iPYWVUZAhkCGQIZAgcXAiRZNZU1wgeiSbKc4nu+GCnnuDU+KLnPmTOnZw3WRbMukg+e80EZMWGEmE8sH1zgvU1a2yvRYoGhttia9kKG2Dmx49iJncPxkMZGWhuhthTKBn6G6nFtjZ0T+rxCWhux9qb1NcTtNH0X8yONjUL1f8hOzE+HV7TvWJUdKGnaG/OlEDb2Z//HMAvh5cZCzMb+wCwN7vuLq2nwiJ1TKF/3Nd/3J1djbQmt0XJzVQh3dqbfevet8qMbfySTTzJipLNnC68L8wuL2pcuXyp/+O0f7Bos/p8Ea/r502XUmFHSbn42N22WIVV6orU/uRrDLMbDmK9pPjcUsxE7vr9yAOopYTs+C75oGFo+LCyzK/0973shHOegLeHdlWLmG46ztZ7tzNp6NmfDt9IfcPCJ3W/oSnkXxHbXg59WlyTpqznONmbq4V+vH902ehbSedrLVldrw2zh9hV8xU/81Xxlq6trLzpafUq3Hz13NB4/wCCGO33CludGs3Xahwd/Y0utionxAxtpMAvhDhZpbFjNIINf0lfHQ3yN9R0c1LjqcMcX7+TSjTvY2h1se8H3VFw1HY4PLHJNapdZLvQDd+QbbPHwPYZ7Gq728EPhO77SFnbZsDXdh1kPV9t2+eUdIrgXFRdZjST4scvY6Crr8rY3yPfuQdaDuxmDPsw4noar7Ma0k20C9/5wlettrPHwjB2nzpcQV0OxOYa74yoxQo2r3VwFd6+8Qz+4avle7BHHTBGbLVdN7CXuwmvfguaWrpZgbHZcpe80rjrctfjubNB3diegZ9wR/xk38DHZv0iVUPe8hfPs7sJTppwiX7r6S1JcldOqZIE7GxyWv7hcfvbrn8nDSx62QqPnXHCOnHfeeXL4IYfb45yL/hV6YLGY2KMp5eEq7Uwzr7oExMfV2JzoMGNnqlUV8PCdOdvOZ4ZnvoSMvxEDKGm46lUv6I4ztNdKsyjr12yMaDNcNbtpff0bmxOJAdQR4qpNtBDbYlIqNj/8t80CzY9vhwuEp8OriqusRkUfkTBzHaKIAMlA1XbJIEbptsQnbZB8IRDW2NloyZsUVszNTYOsr/zbUpILyvmFv0NIzkHjxHdH4mwg1tre2e61AYAI69W0+j+ZzqNe6nFCnz4RSCZX2lvTUuP9KChYgxkdRh8kMcNPgig2QrjjJ/VXFOUGbxIPS1qzqwVMSCx8wqhWnK19p1S3GBHYhI20uLugUFNS48Wd9uKrFbQ12Cf7huQJHxlg21q22eM+nnEOgc3HVTBjoFvcTd/5Ji/rh7FhdaGMTISX76ZmfKWffaJ4/N1xlQELvsnieEbfWsFSD1fBnV/61+eHw8xqJSlcBXfao+HOxIcwH/7Sx31EIA1K9InDzHtj0d139JHlpYcjPVw1HPOKGnfznVjiw72ystIGYewwLtrLjchjp7mZyivUjZ8a3x1XiVUh3K1wZruJEYbvaoww/W+1wYyemper5rgdVyGumnPAu6vLyh72aUtarmqxGTzgMVx1MhBJX+EqHCNeaXEVx8CVc32CpdTTw9UWP1d7+G7GJpxTY7PxVcOd+hn/8BS+JkUgbdxHKNT0L3pbvr6zcdWInsKxWIxAcFjjOzbgKlz29Z1NXFz/d/Xetc/6q9vuuk1umn2TnHDiCfJ3V/6dDKoZJDs6d9h4/8gzj8jtc2+XR+59JLcGa8YM+ci5H5GJh060Ir3rGo3gsqmb9oIDiVYoRtB3hBcfV4lfHMdX3/i3yVX3+CbG+GIzfsTmRGejbFDuRiwUI5ibfaLG9D8xgAJfiW2+QnucFJQ3FzF9BxbkFOp8ZnjIDWxlh5+r+LHDCBZXGb77eMY4AVPO8XHV+V0yrnpcTxvKS8ptw31CYz0nmUxxQvUEXUertMreuYcE7bA1pmqMKjSGkBnqtSEbEBWxSk27gsaTyY6vHu/tJEsso66LeB8d7itWIdnckUysmajaACv81Xy1W1hNPYfUHKLa4M6G9iB6ppYI7rVttbbDR1eOVk3Ul9bLhJoJFntfgdQEr3xOJM+L4U4ArDIcgCNagdj0jSa+yaBAqG58jd53ZSVlNvhpXAV36gnhXlma09HyCcU63wkucEh7FE7fM8BCgpXc5SFYqmnCMJgJfmOr9EWu4I5gqcbVNLgPKRtiuYoAq69ww0VADvGd8cA5iHhqBV+xob2miuE+vHK4jUOH1B4iJF6+UtdWF+V7DHcCOIl4MEaYG0/aqgkjk+AwrkJchYc84a8r9YsvYyPG1TSxGY4yvjXc6XcmylBcZTJh/Gs6Wparhu9jqwMLsuF7ZU5Y01dsbDY3niHcicvEKU0Yk+QLTEJxJsZVh3uI7+7mSBNGZo6g/yfWTuzTv/ffd7/89Maf2teF137jWhlXn5trX171stXBWjB/geX3py79lJz4kRPlpMNP2gOXeRgk/HYXl+CGYgR8Jx5qXN3SssXOd9r4d3MicVmLzWnmxNLinAaaJtBrZUxMjAjFZmIARcPd4QJXNXmHmrYay/dQe7HjRGD3dk6knfRLSMS11xot+woxsN7E6V+F9C84FtK/oTGxc2LaJWltFMKPmA1IE9P7ce3VJusY7u76geKe1ld1Bk3ZdzHMCtb/nicqzndXR0ibKOaHwyuGe2gNx4HI1UL0v010eVXmKVHcu7Xe0oyrQvg6UBuF6v8YV0OxOT9GBHWFtHco3SD09E1AR6sQ4ztm460Uq0L96+aqZHsWL15sF76fMvUU+fLXvyyVFZWyYvkKuWWuSbAWLLBrsGZcOEPOP/98K9Owvm197gmtIiYdGzNp40yhuDrQMRObE2P6V/nt3ds4kxazgXKVerJdhyHGZMcyBDIEMgQyBDIEFATsZ9XMWqz8xdtIOCBC+v73v1++PvvrsvyV5fKTX/xEnr7/aSktL5VZs2b1JFjObGur+VxO7/XxGeZvIwSyROtt1JlZUzIEMgQyBDIE9h8Cbi0byyUoKL5/85vflNNPP10uvfRS+ffv/bvc8ttbrJL7hbMutAnWmDH+pRv7z+uspv2NQJZo7W/Es/oyBA5yBHgtwO5CCgvdi4v9rxgPcpiy5r/FEVi7dq18/4ffl/mPz5f297TLu9/5bvnDH/4gdXV1ltNf+tKX7FKcaTOnyVnnnSXvmfSet3iLMvf2FQK9Ei1IEVoH4I6nOSfkcKyeNI2N2Ygdp47YObHj/fFzIJgVCnfXZs3vNO2NnRM7nhb3GLaxegqBWRobMT/TtjfEj0LZiPkaw7Q/foTaw91/Y0Oj/Md//Yds2rxJPvShD8kHPvCBPu4NZMz0x9eBxKpYv/XHj4G0N+Nq316M8Tl2PBQvX331VfnEJz4h7e3t8q5x75IXX3hR5t481y5unzhxojz33HNy7jnn2k/lDB071O6iHyjPYlyLtSd2fX+4Woi2pPGnEPXsaxuxeZXjvRItdlhoC8uss2aBJDvkevR8PC3AhlcvKO9cbFhtE6W47cUhgOzX7tE2UQrHOGcgNvAxZiP0dXjqBiu3qzDka0igzWpspcA9sI/BVs1usRhmPjmNfL/3B+7uK/OhvnPb2LVzHO4xG7GFjjHc03I1xCPa0ra7bUBcTcP3GFftV+gjY4Z6vLo13d47roYEC5GgeOONN2TSpEkyY+YMuemmm+T0U0+X4tLcky12LBGEY1yN8Z22xHCv6BxYjEjD1diYQSonDe6h2JwGd7cVPhYTQ/1ruWp2/MVsaIu6ua4QXKUtaTALtSUt7r4F5D/7yc+EdVWovPNv/fB6qa+vl6efelo+PuvjVqqhfkTu24XE1KJO8wQ38OCWtmi7kh1m6H7FcA+NGSdTMxAbaeZEfAi1hdgQmxND1zv/sUEfhubVmKixjRHKBgSHe2xOtHEzYAM7Jf/y3L9IQ1uD3b7OFlL7uQATCDUNLLR62Hrv079AQwOtD14NsD00pMXEcZ8WF06/tP0l2dC8wdryDWqCsNXzMnfGmt4L17F9m62Xms6K04yhU316LySMYML2bk1D497198pjmx+ThzY+5NV7YQsx26HZmo/fPr2PEO7uGtpbV2YeSZudXD4btJXt+Wwh13S08BVcwMSno8VWWEjFca3v8IOt6j5dKXy1uLcb3E17Q7jbQGnImTyH9qGf9Nimx+QbT31D1dFCDgHO+riKH7RvR9sOVYYgxtU0uMO9F7a9YP2FSypXzTFkGTTMYrjja4yrMdzxdcn6JfLElifk/g33W52x/EJ74Q8igvSdr+AHuNNHtMcbI4x2Dr4SI+gfH1d3tu6UScMmyZ+f++fy9au+LqOGjZJ1u9fJT5/8qZRXlctjLz9mbVz9xNVSUVshnR29dbTwA77brfWmHpWrMdyNKCZ6TVqMABM4ZCdBI1Xg5WqL4aoZ/9942nDVxD1fe61uoLlp82kgOa4OOEagcRjAnf5/fuvztj2bWzaryZLVpjJK5j4NNHyNcdXF5miMCMRmfL1n7T12bB1Wf1ifG3fLVRObkZoIxZkQV5O4a3ynDvrUzWe88mYH4T3L7pFJ4yfZJAt9NJ5s1VYbWYSRtfLq0a/Kj7f+WJrXNMug3TlNR+KRLzZTr8MMyRvfnMhx4jLYa7HZ6VehXeabz+jPtY1rZen2pXb8Jsc/fmADfthkyhObHe7MV3sbI7DBzS31aDGC/n988+O2S17Z+YoVr/WV2JxocTdajcybezufOb7jq28+o78WrlkoqxtWW2kV7SFTyZljz7TOkGChs0EnaIkFgWRd0zqr1eR7qgWITDoAif6FtpUUITaO+55qUT9kWr5juZw14Swb/H1lfdN6QRdIu6shgBJ4NM0ofEWrC3JbFXtPQewMTDTNGMi7qXmTHF53uJw++nSvrwC/sXmj9cOXXePHGy1vWPzRQPFhBp60N4Q7xHUaORruK3asEPobXRHfOQg4MojwVbMBZvSPhjuKvggnhnAHD7RerGJvojDY4RiYnD3xbFVIksnCab75fHW403e+R9RpuIrd9Y3rrSaQ786J/qcdDLIYV+nbkI4W2KPD4msLvtL/BHuNqzHc8RXcj6w/Uk4bdZqXqwTfzc2bVb7jB7hjS4sRPVw1bfE9gcEGSUXx7mI7CV3+6cvlv/7zv+SNV96QaZOm2bUtLUNb5JGSR+Rj4z8mVbVGKNAIQSaTwjR8B7MQ7iRr+BLSv4HvTJBusXO+H3B1bdPaHFcn6Fzd2LRR0A7Dzt5ylThE/AjFCHwdVTXKizt9xuQJB0JcZTKG79qTIPelDI2r4GNjs7k5VTUOI7EZX5kj3jvsvXLiiBP73BRSB7EOoVFNVyoNV12M0HQDbYwwiTR9hq4Tqu0kVS+++KI0b2qWlvoWGVIyRNra2ixvd+3cJdXl1XLWoWdJWXWZ5a1Nosw8hAgoWnuhOXFYxbBgjOAGlv4NxQiVq4Y7L25/UXgqBld98yq+hmIzuMfmRIc7/NFuYFyM0OZE+t/dtJ418SxvUogvcARMfVx1uOMvfNZwJ74PrdBjs5sTtRhBjHtt12vyvtHvk3cNeZeXq/hactyw43piB8GLC30ToDuJQaRNopyDYwRsLePlnHFV44LBzX3Gh4GmFRIchCa1V250JsEpJM7HpEGyFnr8SPAKBeLD6g6T9wx9jw0KWolhRrCnHZpInAteIdyZaFH+DonNIqo4ZcQUYUD7CoGHJ5Yh8c0Y7iTjm1o2BUXimJhoq/b6eFzzOHl408NywvATVEwJXqg+a4lHGsxIKuEJdyta2VAV7n+CPQM91P8Er1EVRiRU0SYiCKMsHBLnIwFi8tK4mgb3w2oPk2OGHhP0NcZ37iK54/QlHmljBOctfXap/PDWH9r1Wc2tzTbYTRyWEwZ+of4F+wTp1FGnSlGF57NV5pw0fI/hzg0m/ReMEQZ3xpS2XGJs01h5eGOYq/CdmBp6HRKLEcRmJqAQ32N9t6lpk/UjxFUSl1CcsVw1vjhBSd+4sbgroricnyY2T6qdJMcOO1by56dkXbz1CAk0F4KrzEUVpeYVlflZ/fJquXXurfLwIw9L6xut8sTLT8jUkqkybOgw2blzpzz55JPyj//4j3LyhJN7ucpNP0+kQiK/sTmRhIEndKEYQWxG9FrjKk9UV+1cFex/5kyStdDSnhjPmENIskOvMWN8JymkHDv0WDU2xzBLg/vGKsNVk7xqJc2ciLAyPCXR0kqvF5yQIZRoEcw5h8q1gI/qb2yNlnsMqgUe7lZ8jzbzG2G/2WXq0lRwORZ7t+ps1BbVevFxjw1V9MwB/Ex+ziT/fLCgnpDoJcdDiRbXpsE91l7ni9ae/mA2UNx7vkHmcca1NYS7PWdQ9zc1PSe6toZEIF2/mNUV3qq4NoZ7f7iqBZ7+4K5xNY2NGFe5i4xxiOO8BtESLcdVq7qtCJYyYYw5YoxMWDVB5s2bJ5/5zGdk4iF7vr6AH2BPm6rNj6+kaa8b34XAvabI/xmutFxl8tPiHf2CnRhX7Stb5el7Gtx5BZMmroK/91uHpiP6hbt5jbW3fRfjKngNlKsO91CcGVQ6SB5/7nG5/w/3y/yF82XYMPPUqbpchgwbIu89/r3S2NQoj73wmNSX18vf/d3fyRVXXNHHHJiF5ggucO0JfekkTXut6n6Aq2n6v+dbph5g0syJjsvauCM2xObE2DpAh1nPNxU9vqbFnfN45bqvuIrdTN4hNMqyYxkCGQIFR8B+NLpot0y/YHrBbWcGMwQKhcDy5cvllzf/0n4qZ1j9MPn0pz8tJSUl8rOf/UxOPfVUue7a64RE7LN3fFaue991Mm7ons/Z5fuQW7mnfNW4+8TY8UK1KbPz5iCQJVpvDu5ZrRkCBy0CPL1N84mNgxagrOFvKgIkWHPnzpVFCxZJZ0mnzLp4llx+2eWyctVK+epXvyrHHHOMfO1rX5PyinLpMD8jJoyQwUMGqz5XlJmdreENg8L3AWM7195UULLKB4RAlmgNCL7s4gyBDIEMgQyBAxWB/DW+JFh87HnhwoVWD+uSSy6RUz52irz7kHfL448+Ll/80hetnMPs2bOlujr3ShvB3Y62DrvrULoVizZu3CjDh5sPo3cL8bZub81tyNEVjWRo8VB56umnZMjgIXLooYda2xs2bJCRI0dKUZF/neKBivnB6HdvwVJzpxnSnbDfdYqcw/UhTShAjtmAlL6dYvkdFLNRCD9S2Yj46mykwVUjYBobqX01/RerJzQQ9gfulmcRkSTHxVhbQnZi9VgvYmPibcjVQvR/lO+B/nV9FrKRiu/7I1al5GqatsS4msZGEPeMq72ozVoknkrxsedbb72152PPF190sf1Uzugxo+35t9x9i/zwWz+UySdNtklWVfWejxJaHubh+tJLL1mx0pkzZtprW1pa5F++8y/y0Y991H770FcaGhrk5//zc7ursampyT4xO/PMM62dqqoqOe2002wNMU2oAy1WxbgaS8hi7d1vMSLFuCphcRsaE3Qkq/RZcKktdLaL4dndZrZFa4vhOcZuntDCPWfDtzgUP/CJxXDstND0vJwNrTPwg3OifhQ1qYt27cK/gA22d+Mni0w1X+2i7G7MNGKBO6RpKWnxNscudE2Be2yBqF38aezQLt+agNSYGWwHgrvjmbYtFx9jC1WxwS4sDTOHOwsdtQkMG24Rsa89djF8AHf63/Z9Sq5q6zBS416sczVmo4erjC1lXNnF8JExA2YdRR3qjqJ8rmqL4UO4c/fuFsPTJoQeNa7GFma7visE7po0Sxqucg7XawvM3biMcTUUm2O495ermq8xntnkonvM7C72r0uK2cBXtxhei1U21u0FV4mzThNt2UvL5Kf/76fy+H2PS2lZqZxzwTk2wTpswmE9+n1/WPAHuWH2DXLalNPkq9d+1co25M8pbjMMcYD58cEHH5T3vf99dqNOqfmZP3++7NhpdoyatV28ZmzvaO95EOE2P6xbv05GjhppPza9bp3Rk/vpT+UDZ3xAJk+dLL/631/JCSecIB0lHXbejc5nJkaoXDWYgWtsXiWuavIesTnR9T981F6F2sXwgTnRxSpsxXwFE81XjsUW7w+Uq8wtbq7SuEo7Stg2jqYGg5j/toKYhjA+xWyIwfZPGkZnJAsdzHGA5L811W1kFbTAw7ZSdJjYVssWfoJysjBYsGF3Pxkdo+R6D44jVsY2UyveZtrjtWHaCzjU4TuHwUM9GmHYVYGf1MOvbxCALZjgBwTyYUYdNhkwbvowI9mM4e7qp1+SNtyaGIhHXWBMMpxfOAe5A6QmOK5iFsGdOtBSs4J3HtwdR8DcEjNxDruz8JH+g48+PKyN5pzmm8ZVhzt++BIt54fdDWp+NL5vbjW6UUaUzsd3bIM7uGlcpVtpD35a7bEEFS3uRiQUG0xuWnudyKSPq9gAd2QENNzzuUr/+HZBkeCE+O4wcxzzcrVbVoW2+BItbDg8fLhXVlda+QD4iRxBc2lzH8FS2svWfcYbEh9anGHMhHBn7FJXMEZ0i3uCr8ZVjsHHpAgw48u1t6qjymop+XxF2whfg1w19rGl8R274Eps9uGObTBjfKtcNf46LUVfogXuXA9urCnyrrPr5jv+2F1nHr4jAUSM13DHV8Sq4Sm/TLa9g1VORwvMK4r8yv4Od8eP3YN22w87EwueffpZufO3d8pDSx6SotIiuWDGBfLBsz4okw6bZLn2euPr9tXgvD/Mk29/49ty/InHy19/9a+lraJN1u5a2+OKvTk2HCRW7egwOoabzVzS1CzjDhknzYOa5fmnn5fm5mb54Ac/KB3tHdK8uzk3x3ZLxLsbgPGHjpejjjxKnn/hebn9d7fbJ2ddg7qkqq7KPtFa+sJSGXXMKHstSWIoRjDp+7hKfyFl4nD1jX+HmUtQ1DnRxERtTnQ24A9j2Ocr48TOiaYtvqQQ3jAuKSGuOi1F7w276RtiM9zxzYmuE20sMj9abHYxQpsT+TvngK2Xq90VlaCt5ArEZ5BqOktu0EyonqBrdZjEh6cJIW0K6kOrRdPqQBsFkb+Qvg0DBk0RbQspZEE1HLVWrdDJiKppumF0EmRAJ0MraOzgr9ZeyAamh9Qcor5StQHWEEPTSIHwtDeEO7pU3BGHNHDQi8KGJsBqk1sTjPM50SdBjeBOIkDyO7Fmz3b9pA0nIYJir6/QXutroO/gDgNI46rDHT0ercAdAkGMZ+Orx6t8p+9JlGI2RlaMVEVeuR7JA004Ef/pf7TpNK6mwd1y1QiJarpwBGkCZIjvHCewoXul9R1cpv+1J7gx3NHHI7nFj6rKPa9p8utD6yfGd/wI4c6ET3AMxgiThKN/pMoqGAFLuBoaM06WQdNrs3I5hsshrsZis/1Qt4lntEXDHW0rkukQV5l04KH2lMBy1SRb42r8O+wcV6lDm4xtbG4Jx2b0DYllWjwjUQAT4qpW4GpZSZnVSqSsWrnKrsHiKRMJzJ9c8idy8v85WU467KQ9JlhHZX7vu+8++e9v/7eccOIJ8o3rvyFj6sfkzintXRtzBHMIfjz17FP2tSLSJ9u2bZPHH3/c7lS8++677UfUawcZ5fhav5QQT7u6OrusfMTadWulq7XLJoZDhg6RNWvWyHtPeq8U1RSpsdt5xRjXuEpiChYhXUi4w1yixeY0c6J9JWv6RtMNc1JHoTmRGEAJcZXjcFV7u0Y74EmovcTVkVU6V9PMibQTTa/Q3NvrsVRsG6o7HtqKGrMBOLFzYscPRBshjZzY1t6DEXc1enYfiHEkHzPt1WF/bGj+xGwciFwNYR9rbyG46sbDwRZnYjEiDR5pzilE/x4INsory+0Tz5XLV8qcuXN61mBdOOtCmX7+dBkzdoysa1vXpyn3LrlXrrr6Kjl16qnyua9+Tqrr/FpuybHN06vS0lwmRqLGh6fvuusueeqpp6SiokKOPPJIGTWqrzgma7R4e3Lsscfa3xtuuEFefvllOfroo22ytXPHTruEJu08caDEqhjfCzUHvNlcpf5s12GsN7PjGQIZAhkCGQIHHAIvvfCS3HbrbfLEfU/YheYXXXSRnHfeeTJuXO5pnF0HZr5VmL8bcMmSJXL11VfL5MmT5eprr5au6i4rSlpX5X/67kAhaRg8eLCsfHml/dOUKVNkzJgxdlciT8/q6ups0kRSxSd7hg7d80SY3Y6LFy+WP//zP5fNW8xSno4O+2SLwvm8xuRmMZZoHXAddBA5nCVaB1FnZ03NEMgQyBB4uyOwYsUKmXvLXLnj7jvsq+eZF86U6dOny+jRuV2EWslPstzuQtYJxnbRY4/Xv4cddpjce/+9NnkjyeKX0tjQaOUeSMR4nfj888/L5Zdf3uMGuwxXv75a/ud//seueyMZRNaBsmXLFjnzjDPVdYhv9758u7QvS7TeLj2ZtSNDIEMgQ+AgRoAnQ8g0sAarpqpGzp5xtsyaMUuOnHCkiopLonhd6J5kXXfddT06WXYjUUTV3SZa5ilU/ZB6m1w988wz9omWK+/74Pt6/puEa+zYsb384XXj+dPPl527dkplRWXP60dePaLFdcQRR0hDZ8NB3LMHftOzROvA78OsBRkCGQIZAgcVAiRAiIpS0K5CyR2hUdZC8YqQNVhVY6q8O70dUCz8rq6ptq/trr32Wpsc5SdZ/QHUJWNnnHGGPProo/aVoRMsbZbcDutRpaPsK0M+35Msr+56VcbVmk0IeavtV61aJe973/tkUNEg6ero6o872blvMQR6JVrsjtG0b/AbcsfOsVvuzVbaUInZYADExNliNmLH8S92Tuw4NmK+Ohuh9nBO6PE018Z8iR3P7z+tb9LYiJ0TO54W99jj+lg97nhIBNLiHhHOjNUT6/+07Q2Nu0LZiPkaa2saP9JyNYS7GyshTArha6FsFCpWxbgawiMN7rH+T9O/hcIsxveYr+wGf/HZF+V//vA/smjRIptgXXrxpTLt/GkyanRuwbmVuzCL4aXcH/HwYeGdC+W/bvwvmTp5qhUjrajqLRdh57PAEy0Xu117eOV3zlnn2F2GrgzanZPuodTX+z9gbzlELpWnAPTB939QikuL7XWFwr1QXB3I/J5mToz5mQaTQmGWhquxc0o2Nm+0+i+cyH/zL1uAfZowvD9e37TeTk5sqUwSkGutvhX6GebHZ4Nr1zWts++crTZFgsRsCcYG+hnoYLCFO1noBGxwl8BW2qRWB8edvhW6TD4tD3ylLZzHVtY+2lPGT7aybmje4G0rPvHFb+QQ0ATx+UpbeXdPPdRndXAS7eXvm5pz6wBYnJnEDBv4FsOdbepOxytpw+nvsDUb3BCFxK/8wjls2+YXzDRNoBjubss8/NBwxwZbkNnunjyHrcEcx1f4yHEfZvSLxtVeuJu2+CYwx1Xs01Yv7obD+ELx8Z3+R9sGDqhcNZETG2goWVkDG033FIc7Olr8tw93fMUGej21ZbVevoM7Wi4a7o6r+JvPlZ7JAL6bcb+hyeBqMPMV/OA4dbBLyuer46qb+LUYoeFeVV5l/cP2msY1UldcJx2dvbmKHyG+4zt9zphhDKsxoi2n1afFCBdnNNwtV5vX2TET4ip9h+QJ28B9PGPc2xhhcEdbzIcZ9vHHF5tpK3YtV82cjlRE0gb97+KUxlVwww8KbfP5AV4NBjdiSChG4GdVsYnNHr67GKHhjq/oKBEXXT/TdpIp5qCVy1bK7bfebtdg1dXUyRnnnCHTpk+Tww893I6z9c3rLY60hXYkuYrvVRVVsnjBYvn27G/LcZOPk7/86l9KQ5nR7mra2kN9GyPMeAEHdPl8cRXBS8bu2sa1Pf2L/d1tuf232EDfDjwo2pzIuOKY1cHrniOsnXYj7WPmhh2tO6wGVixGIJ3hixEkpsRMcPWNf5e4gNnOkp1WSsbHVeZcmycEYgQ2kNZgPvLZ4G+co8UI+h8fKfCNNvkKfAcrjatOL5BzQrkIOnZOciYZm5mHwEybE+kv+gZsx7WO8+oT2vmDE52uhdNqcX9LNg6Scw7HfY2zg8Ec6xyUI4wmJMgxfstL+oqJWu0T80uw8CnH2yBqiOds+AQaOU6y11zcHBTOxD6d6rVhIhaD1dXj62iuZ9LBX03lvr2o3R6jHt9TGjDjuGuTJgJpcTeCl9yhJQOgwx0ffbi7evHVtseI/NFH+cUmesVGNbi4Te27tLg7jmiCpaG+IzBx3PmKDa297lxfktw+KA93z1OrHq52BzdNsNT56uM77eTX6cb4ONKDmek7+s8nrgvmTLbamHG+Ol98NuC7dhy/8v0k6CaTT/eJD2zAVV9xXKW9mq/g6PrfN+E7G1ZI1BMjygfl8MQf1x6TBvdyJ8Z3FyPcmNFiBGrb5Z25eKYJ9Ea5asZSD1dhakKAN9l3Pq66WGdjhMLVUGx2iZbrOx/uXO800LS46niCHc71jTt87CjuSBcjFL6n4SqYuvFVWV5pfXnhhRdkzpw58sA9D0hFZYXMmDVDLp1xqUycONF8s9nELrObr2i3idmmTxzuSa7aV45llXLX/LvkG9d+Q4476Tir/M76qpbWll7c7+GqqVuNq+ZJFXg7nvT0b/e9ivPD/euLM/Rfz1yUxMzYwefWklab7MVihDafOTztv57xT9+79vZpS/fow083LkMxwvEnFiOw4Xti6GKV5aPxVfvCgPNT46qdV7vjiIZ7LI9gTmwtblVxt+LtjqsIsHpEyW2ilS+iR7Cn4ZqwHhfs6thlhTW1Vzs0CDtBG+YOAKFJTWiMaxFm5C5Q+xxQQ3mDtaEFDRs8zQ9iclrhDgEBN60OnvpwN6QJr2EXP3kipvlK4CUj1wQesUE94BnCDF+Hl+u4Q6imzqagDYhNWzQxOgjLYAv6EcGdOriLDeFu77qMmJwmvomP3GGE/KBfSDq1cyzuBg8E/LRC4HLiqCpHzBPPEN/BkqdzIa7uKjd8Lx+mCvTSDsZCDHdw0biaBnee7Dh/q6WvNhB3fdyxhvjOEyKCS5SrJkZoxT1B1GzADXgI7lax2bOSNA3fwZ0xowkjE8QpIa42ljdaDmnCyJarhvMhPKxAp4kTtMtXiJkxrqaJzTx500SPqZe+39G+I8hVhHOJq9qrEJIKfoPxHdxN32mf8UkTm6tLqmV0/Wjh31UrckKjbg3WJy/9pJw17SypGlslwwfleMbapqqy3uK2Glfvu/c++ffr/11Om3qafPbKz8roIbndiCR0yUJSyDyiis2aZJ3+BzOtf7HJ050QZg53TSjWfRYnZAMuEmc0rsJz4gfxyjf+8RMOIQasxWbmKp7OhWIEbaWPYzFCFUY3fjgsaYvWHp4kwrPQa8YY7tjAD42raeZE4mpI+Bxce4Uw3+O1fOK5zz9wnu+TJJzLMe1JlrPlXhuYIasGnrQ2QsF8f9kI1ePwcE8Nff5yTmh9Btf2YOb59FFa3AkYaXxVZ0hzwPmxL3G3rws9n+/Jr9P6kXjSkX/c4R4SxXO4am1xeIX4HrOB7f2BWZpxp32+xbU/jQ3O4amBVvK5qk3WsXocR0PxKGZjf+FuuZpYDpDEJm3/h7gai81pcO8PV/e27wqFOx97fva5Z+X+h+6X3939O/vacMaFM+SCCy6wMg1g9VrDazK8JpzQJ7nqJBymTpkqV11zlTRV6t9tdXE11L/0i/Zqqj/jynEkfzG8L54NJDanjqumTfsyvqeZE2Nzdz7PtERrf8WIWFztk2iFOjE7liGQIZAhkCGQIbCvEVixfIXc+1/3ytKHlspRw4+yH1ueNm1aL1kE37f6Yn6RZF1zzTV2dyG7DNlxuGXnFvOoL3ZldjxDYGAIZPIOA8MvuzpDIEMgQyBDoAAIOJmG+xbfJ0sblspnLvqMXHHJFfZTOXtbkEag5IuRuiSL17Gx3c17W292XYZAPgJZopXxIUMgQyBDIENgvyKQn+Cg5M4arAULFlgl98suuUyen/i8TD/FfI+wZmBJVk1ZjbAmy4mRIuHAJ22ykiGwPxHolWi5XQWaA+54THsodBzbaesJAXGg2RgIZhnufZmQtv8z3PdglxazQoy7geLu4kQsFhXC17eKjYFitj/7dyCYsbiZ3aUrV6zMJVgLF1hF9EsuuUTOn3a+1cH612X/ar/zJzX+mmJt5arqimq5Y94d8h/f/A9hTRZipFXVexbMp7GRdi4bSN9lc6I/vscSoVj/xY7vL9ypp4THp24RJrsJWATJ33yFRV+cw6+2kJ1j7EzQbGDX2fA9tnV6Uk63RFsU1+NHl/+hnDuexg/tnJgNFuHhJzoc2sI7t0sDW9qiPY65dvtwB4M0uHNOqL34GDon1t78vivZx7hbXBUeOj+6BuV2uPpKPu5aEKS9bpesl+9mZIRwpz+pPy1Xi7v8+lT9wX3AXO3217fZIK0fxAvNj3yuaguqQ7hbjTd2g3ZjX7rbCE569I/T+mpjWgFwL+sq8/LM6VrFuFraVapixrU9MVER0I3F5hju/eWqNsn1C3czl7hCfHMbqJYuWyo/+/XP5On7n5aSshKZfuF0+32/SeMn2dOJU00tTT1jq79cdXXds+Aeuf666+V9U98nV157pVRWV/bqA4d7rO9CfHf9X6i4GpojYvHd9Y2Pq8RAF6vcbmtfH8f6N3bcxebQfObmIW1OdPOq40IsB9A2K6T11Y2tvcEDXN1cxZyj+VKCcBgNzxcs9Qln4gRGEFYDCJ9WCzYQxXOBUhMJ29hkhCjNj9XISERR5Bo2t262ImGIxfkES+lE/AAgtqsmOwL/kEPY3rJdFXDkHGw4qYGkDQBEQgDRPJ+GEnhwZ4aftJnznGBoT3Dp7gTaC17U6RMBdIKldJRP4A3fsKHhzt8RIWSBKH73sWHwAma2siLmh/iaV7DUbO1GoC0k4Ahm4ALuPs0gtgdva9mWE/j07BzEVzjHFmPOTeLOddThxFV9OlpWOBMhWYOpJvJK+yzuxp4v0coXLNV2hdFXiPO5wJ3sO7Yw0/eI6vGvT1jPcRU/4YsPMwQv6Rt88o0Z114kANj23Ierpn+b2pusyB9c9QWmJFeTi4nBiPFEezXZFecHchRugkkGJ8dVp8rs4zuCxPm75PJtVFV1C5aabfWIQNaVGMFS8x25/AKHEIklNvj4zrn8nf4P4Y5YMeNXE3m1McLwTMPdctUct+PKcNq3A9EJI8N3+OGLM9yoOa6GBEvdTbAmAsm40biKBAGCtuAG/s0dfYWgwY3+p2jaRJarJkaQEPt4Bu744XDHlhUaNT9Ln18qd//2brl30b1SWlEq555/rpx5zply2OGHSXt7u7za8KodH4wr6sFPYmMfrhq+IxTKmEvqCtJ+Xg0u/MNCuenrN8lxJx4nf/GVv5Dm8mbZtmvbnsSvO/GgvZqkQr5gqZMkSfKQmE//I54Jpsm+yY/NLnFIjhnL1W7hcCd9kawHniL0qsUIN5/hD9IMyb6hPze2bLR958OU+pwg8a7SXd7YnD8nxmIE9dFvGledOLpPR4tYxXwGZ7S4ir+MPYqm6enmxBDu2LD6ZB7NNzClb52It4/v5DAW05ZNtg+Ji75SMrFmYs/fnSiepsXCIADsCdUT1GDMBMwkN7oq/KX0MVVjvBpYgDumcozw1fRRVaNU2QMCEn5qukJM4m+UvCH57UsCAJDoX2j6JxAFICfVTvKCh69o7IyuHG3b65vQwQIyHVJziPpEi8FFgBhRMcJbDx3M8RDuaJ8w8Yyt6v3B0nyD6JpMrJ4oY6vHen2FVATiCTUTvH64CSyEO5MJ2je0VyskSASDkAYWysQhG2gjYUfjqsXdJJT0nfZEy6kBj6rMfbIjWehfeDa+eryX7xyn38FtZOVItR7qH1kxUtWDsYr8JsmlHq1gA0w0rlrczWSuYdbDVeMvY8+HCUGCAKnxHd+c6KWmgQNXGVeMO+2JVgh3/GQcEMjxgzU7Pl/T8J0xE8KdRIvkNBgjTP+jGaTpCnV1dVkeh2yAA32j6XWRlMDlEFdjsRncqYex68MdXOE5fcy/oVdd46rHqbpC7usR42t0rvJQjnGBcCiFjz07HSw+9vzxyz4u7/8/75fjDzt+D915YNj90BBfwRyealy1Wk1mcpxU0zc28+3CH930Izn+pOPlWzd8S0bWjbQJ3KDa3MJ4VyzuhmeH1h6qjjsSVPxhfPsKcwT9z7jT+pcxy3m0JVQsZmYu8BUSLeJMLEYwH2lcJWkhhmiYUi9jF3+12BybE7HhBJw1DUMrEWPq0eZE8HZxPRZX4aqWKKfB3cbmKhObFZHm2JyIr2DKvKvNq2DyllsMnx8AYu/Hg6zdDwcPJF/z4Xir47ofuq4gVRxI/X+g+JrkZsbVglC1V2K1rzElOSbJQqbhlrm5Re6swUKm4YLpRgdrzGjZ2J57cuYrA+EquwuvveZaOXnqyfKXX/lLqa7LLXzPdhfuQXpf9/9AGTuQ/h9o3f29Pq2vb7lEq78Nzc7PEMgQyBDIEHjrILB86XL5we9+IPffc78gPEqCdf755/foYPG2obW1FTn3ghankzV5ymS55tprpK2qTZpbmu2i+KxkCLyZCGSJ1puJflZ3hkCGQIbA2wQBXhHOnTtXbr/rdqmvqZeLLr7ICo2OGbP3Eg1poeF1oRMjdbsLdzTuUD+/lNZudl6GQCEQyBKtQqCY2cgQyBDIEDhIEXAJltPBOmvGWfKpiz4lE8bqaz0LAZV7HXjvvffaJGvy5Mk5xfdunazsdWEhUM5sFAKBLNEqBIqZjQyBDIEMgYMAAZKXyqrcx5edkrtNsMxuUV4RTj9/upSMKZFhg4btUzRYTE1Cde+Se+Wqq6/q+axOTY0ivLVPvcmMZwiEEeiVaLkt2dolDDLO0T4ozXV2u+Ygj/BNntE0NkJf5Hb1hPzgmLbrybkS8yONDfwM1eNshNrD9aG7L1fHQNub1tcQZQqBWcwGx9P0fxrcQws/Le6KbhEYcKxQvg6072J+FJKrsf4P4e44Fjonhrvr+1ic2R/jO4b7/uRqIXBPM65CuFeVVsnTzzwtj9z1iCxcuNAucv+Ty/7E6mCNHJ3bmbe2aa10VHSoOxcLwVV2v86/c778903/LadMPUVQfC+vLO9F3dh8lsYPn/xAfiVOtifG94FyNdaWNHNiWq4WIlalwSPExRhP07Z3oLin4UhsXsXXErZ8OvkA9DVwTBM0Yysj57Al1tcZJAtvtLyR02hCusmjo0SlTjeKwZIs2EbvhW3E6GD4xOSoB80K/PTpOXHc6TkhA+Dzg3Oc9hXbQDVRPM5ha7WvsK0UP/FX8xUfsYEfSAUkC36gF8a/9kvwHszonxju1M+WZ6vVlbCBbf7Gdnank+TTYrKaIa07pbS4VMUshjsyA3AAzDTcsYHOWX1nvVdXirY2tDVYHZ2QDTiocdXhjh++ZApMHPfhta8ex3dkInx8t1w1bWXrtdb/9DftBW/f1m38cDpamvaY43tLV4vdeu3r3xjuPVw1/iJpkNRRw0+2/of47vzAFtpPIa5yji/IxXAvLSu1EiOMBbSpaoqNJpCRUMgv2HA6Wj6+u3NpC7j79MuwwXjATihG0HfoxrFl3qeBZrlq7MS4Wt1RbcenDzOwdLhrXI3F5vwY4cOd/iBOxbjq6nFb5tHLKi/P6R2uWrpKbr3lVrlz/p1SV10nHzr3Q3L+9PPl0EmHSqfRPQMDy3ejX8b/a3yPxWbGAWOC8ZnkqvNn8fzF8u3Z35YTJ58on7vyc9JY2ig7mnf00CQNVx3umqSC5WrzFtt2dB99444+dXHV17/Y6NE47I7DvrkEHSbmTOSEfHNEmhhB3zGGfVwlhtE/aD5p499hRv/4YnN/YgRxF198fGds2znRzP++hAruMS4p29pMDtDpF6XGBtf75B36gzt9q8WI2JwIV8EUbBlf8N5Xep5oJbcpagqnGOFcfpLn9MeGteMhXg/whnRpslpvqwrwxzRbYPP98/nqcHKY+dzqD2YDwb1XPd0CphpMvr4tAKTWRAzXnid7pv/duf3lWayOpB9p2us7J9b/juMOOx/feyUQnjGVBrM0fWN97ZYRinE1xIuetii+xtoT43sySYits9H6LnZdGsy6CaueauvoxtS2y3NzGWtvfozYW9yTfN9brubXT0JTVl4mXZ1d8tzzz8ncOXPlocUPSWl5qcy4cIZcOONCmTBxgk242dnnJtR83GN819oLP52dpD2Svnnz5sk3r/2m1cm65rprpH5wvbQ0t/Qytz9wTxNHYn70sRFIxty5vrk5FvN6jgfm1dQ2AoOn3+31xJH8+EQ8aDc/obK3uUisvWliRD4/eZDSaX58pSQp+EjDEIvTCoJlCHRqgcw+ETNPtDQhSew6G5q6LEJnCBJqomnYaOtss3VoT5tqO2utarAmAooNnpYhMqeJnlpJffMkSBOrw0ZdWZ0VLQ2Jb1KPJorpBg94agJvtr3m7iCEO3cHCJaGcEc0ET+GlfvXTyA0iv5NyEYMd/oWDoRwB1fuujRhPVSfORbyg2DDUyaNq/Qb9YRwZ0DzJCDWXgR0Nb4PrRhq72RCXAUThDN5cuIrVcVVloMxPxDG07iaBnfGFP5qworuM1IhvoMrd5D4ohW4GhJnjOGObThkBRzL/AKO3PnH+B7Dvaakxt5VB2OEuZuGY9zx+kpze3OUq/CQsaeJzcLBGFepOxabiTMh3Ikv9mmFEdhU47t5eocIJGXl8pV2F6F9RVhZKZ/5k8/IB876gIyYMEIGmx9bSDQTXWRxNwKfvjcWXJImNoMV42FIWe+56L4l98kPv/lDOe2U0+TzX/u8TBiaW3BfV1nXp0kxrjrcQ3x3Sv2aQK+LZcQZrX8ZL2ASGt88DSO+a+KbCGrGYgR10McaV+E5PmrjHwDhEOdosTnNnAiuzMvB+Zv5LCBq7uILMYtfX3EisNoDmTS4W64awVKNq25ODMWI2rJaG0NCeVOvNVq+z3/kNxDiuk8RaO9xfZ8qSILUY0PRS3Wf51CjgTkQqyd2HNuxc2LHsRHz1dlwitm+NnFOKLt2n4jhvIHg7vpPwzVNe2PnxI6nxV37vpXzPYaZ84OETMPWJRYaHlwb43us/9O2Nzb2YrjGjveHq7FxV7S77ytwd00+V7X1ETHcXd+HMEnT3tg5seNp+y4NV9O0JcbVUL+kwT0NV3liteylZfK7W38n8xfMtwnWzFkzZfr06TJ69GhpNT+bGzbL4JrBqjsxXGPHHVeTmDkJBz4QfeU1V0prpdHiChSuD3E1jR+cE3q747icpn9jvmKjVBEXS+trzI9CcTVNW2LzTGhOjPmZPza1RKtQmMVisxt7IUyyXYfBoZodzBDIEMgQODgQQKbhJ7/6iTyy+BGpra6Viy66yAqN5utgtbaFk5t9hZQTI50yZYpce11OwuGVXa+Yx2P7qsbMboZA4RDIEq3CYZlZyhDIEEiJQOgpQUoT2WkFQsDJNCxcsFC6SrvkkksukfOn7VFyL1A1/TbjXtcnxUhJsnjVVrB1eP32LLsgQ6B/CGSJVv/wys7OEMgQGCACJFnlZWaNVXOzvPrqq3L00UcP0GJ2eVoE8pOT/I89I9Nw8cUXywkfOUEmHz45rbl9dt6gokGCJtZjDzzWI0aKhAN6XVnJEDjQENgrHa2YRkYaHa2YJkxsx2FMVyR2nI6KnRM7jg38jGlkxfRLrK4QO5iUklabKKYZQh2xvovZiGESO54W90L1f2jtm8U9hY7WwcbVUBCL9W8arrJgd82aNfLtH3xbampr5O6775a/+su/korK3Kpq1/cZV/f0RCFwL6ssk+L2Ynn95dfl1zf/2n7smQ9AX3rxpXYN1ohRI+zHntnu7pOiSTN205wTaws2SKhuv/12eeTHj1idLD6rU1G1Z9V9Ghuxc2LHXVtCT19d7D7YuDqQGOFwL4SO1lsB91Q6WujvWB0t87OzfaediFmB7yMXf7O6EkbjBF2OZHE20JKw+lbmx1ewUd1W7d2FRTLQ2N4o7Dxzvmk28FPbYcG11IPGia/gK8edDo/PV3bYhWxwbXNHs/VT8xUsLGYGW6+OVjfutJudVD4/CHxpcGcXFjupNNxde2rbjRZTom8sHh27bD3gH+o7ds9Vdim7sAweaXCnTd5tuQYHrmc3iOaH67sQVx3u2PIlU46rVmfJ7OgJ8R3tId8OWfqffncc0BZw4gNaPRVd/h10HOe3rr3O60cPV82We60OfAj1Hb7yuoVdZ/x69ZzMjqNY38FjdvPw6+WqwRMbYOYLgrQFSYDt27bLOeecI6edbnaPff7zsnrtahk7aay94aAt+Eec6Szrqy3n+o72hPgewx0cYu3lOLHOtyAWX9NylW3fbgdbMh6xk8txIMTVEN/hhQ93+r2sJLfbddPKTfKLX/xCfrvyt9Jc1CznzTjPCo0ePvFwuy0dPLY0bJGyqjK/NlF3rIIDGleppwd3w3lfCcVmGwdLymXtw2vlF//yC5l5xkz5wte+IGLCTX4sJz7E+i7GVYd7aI7ABjxn/PpiJn4QV118953DMc5jB1sorla1VXl30Tu+42csRhCnQlx1McCrT9g9J7pNGXszJ7pYhfYcG7d8NvDPzWe+ZMvNq3AnlgMQI3yx2WGWBveKNhObFa6i9xiKq/DVaalpcZV2lNz4zI1WcIvG0ZH8S5KkBXQaxnZGX9BwEw/Xsj3UZwMAdrTvsKTzCTTyt5d3vmzF6qxYmQn+fRK6bpFHJkifuCaNh/wAgPyCj1T4ymQAwGxF7SPgafyEEFZYs7TeSxgmm0c3PSqPb35cHtjwQB8RSNrqkiS2qGr6NnQQBUx8fkBWBivbbjXcmZwQ6eScPja6n5Y9uOFBm7yASfIc8ICU/PqO4x+40v8kt3ai9QijIi5HwhfCHRska2Cf9INJDbG6Z954Rq558hpbR3KwxriaxN0X7LHhBoaPq66vwJ3JnEku6QdcXbljpeUpfA1xlTHl4zuYumCt4Z7PVZ+4JjYc7myp9o07x9UnNj8h96+/38tVy3eCueGHhlkhYsSu1l3yzhHvlL8//e/l97f9XsaNHCetQ1rl6sevluKKYnn2lWdle9t2+fpTX5fyWjM2O3oLltpAbDjGROnje1qu9idG+HDvw1WP8C2+ugmfeBWKM6EYAe70czBG5MVmzq2oqLAJ1CvLXpFtD22Tp+9/2upgvfP975Sxp42VbYdtk59u+am0rdsjLBniu0vWwW0gMULD3SaFJslb9cAquec/75HRR4+WjvM65Lsvf1daW/Yswqdt9D2TMJj5JvM0McLFd00+IBYjOM6Yf2jjQ9L+dLu9YfPFVfykLpWr3QmsFiPS4B6LEXAVIdkVO1ZYUU2fYLHjKg8wfLGZmMgcQ9wMYRaKET2x2eQcWh5BrHp267M2BOGvL65yLMbVgeKen0docZWYztz/+q7XrbSKD1ebaH3luK/YyQyjqCAzoaD34VXKNue91viajK8eryrDM+FQGRoZWtb8asOrVjOEO5fkQy/8WLx2sQX6b4/5W1UZ/PWG12V4+XDhkxC+CZ+EAn2jiTUTVRurG1fL4NLBtsO9yvAmoKxvXi+Taib5nzQYX//9+X+Xdw1+l3x4/Ie9NiDmmsY1MrF6oneypr1OKR8tjj5t6U74Xm98PYg76sNMPmOrxvqV4U0LrnzsSvncuz9ndXJ8mJFwM8FNqJmw17g3tTfJ5tbNckjNIaqNtY1rbSIOeX1+0Lc/WvYj+cbkb6g2NjRvsBzUuOpwxw/vUwKDO2q+BEY0cHy4kyTjy7iqcf67JmNj3up5snLnSourpmL/WsNrVmdF+4oBiSdBg3Gl2VjdYLhqNN98XIVDaXD/t+f+TY4ZeoycOe5MP9+Ntg1q7GDmfQps6tnQtMEm2egKacrwcHVC9QRVGR5latZo/e73vxPWCX35a1+21dHftOUXf/yFLCtfJteeaHaX1ZinAJ6EPsR3l2iBO/plIWV4fAnGCIM7Wk41ZX2V4fH1tV2v7eEqwSzxEJ9z4Ds6WvSfDzPi5ZqmNRZ3341ULDbDbyZy4tnE2omCLhvcfeHFF+TmOTfL6gXmaeGQsfLR6R+Vkz92svz1KX9tj5PwJP0hNhNDfLpC7kYLvo6v0bkaw90Xm+2TLHPDe/eiu+WR3zwiw98xXH763Z/K8WOPl/aO3jfb7qnnxpaNckj13nOVCZzPBRHfNb7z1Q4SObS2vMrw5s3LdU9dJ18+7sve/sVXOOY0n3z9T91gRhyqKDFPAT0c4qEAT1ZCMYJYNbRsqMrVZ994Vn732u/kqhOuUuMMcxUJoS824yftIPaGYgQxhL5kiUBoPgvNif9v5f+zuH/8iI97fXWYwVVNGT4N7mBG36rK8CnmxOufvl7OmXCOHDf8ONXXkvxHZkwEJFraYzQaxzncVWnvVzlO4IjaMIFHE2eDbC6r9o6Abj9IsrR66CQSj5gfIRtkq1Xtpg7IrxTrpzmu1cNEbjEz7Q21xd6BKo8v0+IeswHe+KLV01naaYVRY36EMLO+dup1uLaE/OAYvsb8INGK4a4JfDo/6J9YPfSdxve0XGXMaOK6HSUd9k4x5sdAcY9xtXR3jh/a63iHWZq+ATNt/RvB8eEHH5brrrlOrviLK2TOnDn2NaJb6Ow+mxRqL37G+M45/Gq40/c89R4I7mm5Ghx3JklyvoZiRCw2D60dapMsKzR669yeNVif+pNPyazps+TJoifl5e0v2ypI6HztdrFK0+uzXE0R3+k73+dkqFuLzfcuvldunH2jfPi0D0vbtDYTSMyTAH5K+u7Zsm9eOgbG1bLdZan47l4d+vqGPkEYOxbPYn3ncNeEM9tL2m0yPRCuujcRURuBOcLNibEYwZgLzc2xOdGJO8d8Jc5o67TS5jMhrqaZE4mH4BHytReD3VotbbCTnTrRO23iSSOKFzuH49q7bOdbGhsx0bNC2MDPUD2uDv4NYRYTLC0E7ml9VTNCc6AQmKWxkar/zV25Vlwdbr2B77yYHw6vWN+l8tX0f8zXfY37/ux/MNMCoP26wJjhcuXXrpSODvPx4bKyXptB3F1wmnG1rzGLcaSQsSrG1dgnQ5Y+v1R+dMePZPGixVJeUS4zL5xpdbDGjh1rYWp+zbxubTPfoQ2UnvYqe3NieGA6do7vODpZV19ztUyZPEW+dNWX5D9f/8/cZ3UG+52N1bG3fiRri/WvO36wcTUVh5ST0syJ2pO/fJPOjhZn9hdHYnEVnzN5h2DYyQ5mCGQIFBqB7e3bZfjE4TLzsJmFNn1Q2uP165xb5sgdd90hQ+qGWKHRaedP6yU0+lYGxiZZV5sky4iRIuHA7sim5iYZVK/vxH4rtyfzLUMgiUCWaGWcyBDIENivCPBkpq3dvBrKos+AcHc6WIsWLpLyynI578Lz5FOzPtXzBGtAxvfxxehkUZJipO71cezp3T52LzOfIVBQBLJQV1A4M2MZAhkCGQKFR4D1aIiKUlByv+WWW2TRokV2Z+Gsi2bJedPOk9LRpTKyaGThKy+wRbt7sqpa+ED0NddcI5MnT5Zrr819VicrGQJvRwQywVKzmFEraQTtWHelrb3CbhpxNid6p/mB/ZgvsePYzgRLeyOcCZb2xSMkAJjP54FyNfTEwo2nt4IYYWxcxTiUBjNXRwgTkqwXXnhB7r39XvuxZxIshEZZgzVydC65YtehBHKVWKzqj6+hyTCGGQv2f3fn7+S/b/pvK0bK60KeyOWXmK+xOgrZltAaTNf/BwpXQ3NVITFLg0fIl5if+9vXEN/d/Bw6p4Rt0nYRvLnLQJrB6QV55R3Mwm/OYUeBb1cKNt5oecPuoEK3Q1vQhg12L9idBYmtrPwdHSUn8ok+ULI4XxkA2pZ5tD62tmz1btt0SYfTPmI7q1fewezA29K6xdbhK2h44Sf+suXZp/cBFmCCxoqPPK4t/EvRtszHcKcf2UGl6VthFwkAZye5eJP6neAhO+k0mQGuD+GOdgnn+PolH3d2hLLDMVkPGHE9W8DZnhvywwniaVvmnR+avAPH3UJ3le+m/+Gpj+9puIrwPPXgg7Z1G+6APeNKba/xA6FPH1edvIPjqs8GXEXfBq6yVdyn90J/hPjuuEq7kQcIcZUdOF7B0u44o+FeWlZqxxLH2VpvNc46e28kwI8Q3+1AysM9JO+ABprveA9XDe6MYfzwctUcb+psynFVkXeg/zmH+ODDjH4lRtidlN1fKigy4rRIYGBz1bJV8qvf/EoWLlootVW18pHzPyLnTz9fDp14qN2JRt1oI21pNrHZiB77cCcuOIkApER8cZU2I4nDzjdty7zlqtnyjjSPN74HcHdtWjR/kd1dOHXqVPnbq/5WWspapKFlj7A0/IKr9DFyM7StVzF1tHa05uKMSdp8JQ1X6Q9ssCM4ZMNuUjCc88o7mJhL3yIV4+tfJ+/ABhCfjp6rl3FH7AvJO4BJMEaYtsAHH1eZj+EJcVUb/w4z5hFfbMbXtDGCmIkvPo7wd3DX5kRiFTyjEBfBzlfAzIkn+3IE+IMcRQx3u3tZkdWIzYng6uYqL1e7HSuBHDScTgZEBil/8+2igHAcs4Qa5BeSxAb2NBvUS2DhPB95iTMENmwwwDgvWZxQnPMl6atri3YcezEbdh2JqRsbPh+cDSv+ZvzlN3meE3hzflCnT3zTYeHDzAq8mUmHiTGEu6vDa4MkziS0TI5gz28yePUHM/wt6TKqvwl9o3wb2kCN4c6gcJx0gcuHmW3nINMeD1ct7uDleNY9eeXzyPkKtnvLd/hruWo4oHGVcxyHirv63nzE8EjFVVOH46rWFuphTLmx5eOq5ZC5sQnxHUx3d+XigC9G5HOV/tH4Dnd8NvATH7nOtcnH1RDfXZIEB2xMC+Fu2hvCzPWd7xzHVddmX/IZ61+nlO+4SuAuLzcirV1d8uRzT8qtc26VR5c8KoPKBsmFsy60rwjHTxpv+bajeYcdg05Hy9nwKXJbHpq+AxONqzY25/W/Nu5sDFH6X+O7ffVZVmkX7H/zum/KCSedIF+56itSWVMpTS1NvfMoc26Qqwm+a4KlbbvNjZzCVYs7fO+OEb6J3MUIN+/55hmHQ2guinLVxSvjz76KEeZbDj1xFWzVebW7b7W4mmZOBNNBXTl8+9zQd2u+9fDdIwTtYgB9EuRqdy7CeVqcCeUAPRwYAO7g6vIdN0f7uFSCWJcr7nHskPIh3gySP2IMAUf3BCZ5IndDnDOickTQBiqqPul8LkLcEXG/mB+IVWoaOfWd9VJRVGFF4LQCQNSjPbGiHejN4KtWBpcPtqKZiLP5ipPEGFud22Lt7QSjBwWemg2Lu5l8Qrhzd8BTolB7eRoypnKMFXH0FY5XF1cHbYBJCHfuIOAAgrRaARPuuvj1Fac8HWoLg5EJReOIxd38oNmkFe6GCAS0R+WImdBCuHMtd04xroK504ZJ1oXyPE8Zglw1fsA1jautZQZ3cxcZsoEIYYirjAeCT4jvjAdww5fQuEIUd29xZxwQi7BRUe7XsEvDd7gawh11a568xXCnbzXdIJ6sMG7y42iy3XARvR/O8xU3GTmurlqxyq7BWrhwoVRWVsrlH79cTvk/p8iRhxwp5ebHliLzm/gKFnYQtNQKAs98QSLEVSYmcNde/ViumqcNIcws7mZeSWpC3X/v/fJfN/6XnHryqfKFq78gk4ZOyrnqeSgFV+m7YeXDvM3BT5JShLG1EuOqk2YI8R2NLCZxBHp9xX2dgL7T+heOERdDHKE9tEXTluSpG09XYrgzdjSuci2K/qF5Bkxohxab08yJxBDmZfpwb2OE85E4w4+GPVzVXjOmwd1ytaovV119YMFT0xDuYMrx0DzSa42W7xtJ+Q0kYNgnTeZXE7Rzx1WEzYEeG8q2I46HdEmwHasndrxQNmJaHc4P96rEh4ub4DTMuLYQuDs7IfLHOBDDNXY8Le5p+j+0psX5EdImivGMa2O4x/o/bXv3B+4xX9P2XdFuZnl/yeeqNlnHcHd9H8Ikra/7w0Yarob8sDcNZSXy4ksvyq1zb7UJFrvvLrzoQrsGa/To0bK9yyynaDGv7Iw+lq+kwT3W//lcDfXd3nDV7S5kTdaXr/6ydFTG9bwK0XchrqblUGiNluNyIXzFBk9ItDlib3DPtxUbd/s7VoXmxNiYyvdVS7TS9u9A+y42r+JrtuswlBFmxzIEMgQyBPYxAsg0/PiXP5Yn73/SPsGaNWuWTJ8+vZcOVmtrq/qUaR+7N2Dz6GS53YVXX3u1VFZXyupdZuG+/wHfgOvLDGQIvNUQyBKtt1qPZP5kCGQIHBQIOJmGBQsXyKDSQVZo9Pxpe5TcD2QQ3NISJ0aKhMN1111nJRwaOnIfyM5KhsDBgkCWaB0sPZ21M0MgQ+BNQyA/sSDBmjt3rtXBqqqskosuvkimfGSKnHT4SW+af4Ws2O7iMutj711yr1V8Z3chSVYmRlpIlDNbBxICWaJ1IPVW5muGQIbAAYdARaX56LxJPFatXCU333yz8ASLV4QXzbpIpl8wXUaNGiXr2tYdcO3SHK6prpG7Ft4lN379RitGet21e5Kst00js4ZkCPQDgSzR6gdY2akZAhkCGQL9RWDF0hVy+623y6P3Pipl5WVy8cUXy7Rpe75FyM4n1mDtLstJNRzoZfHdi+U73/iOnHbyabknWdV+rasDvZ2Z/xkCaREoWd2w2koHsItwY/NGu+CSLcC+lfjsOlzTtMYec9te8ytyYpMcd1pIPkfWNK6xImQ+0Tu2r29o3mDF1RA1Q6QtWXg0vaZhjRUKqyqt8uo5WXFGI3ZH8e1gwNe1jWtlR+kOu+XVp/fR2tUqm5o3qViyBRZRVHBDsA5/8ovTyFnftN7qWPnWJYA313OspaPFizu+rW1aG8TdCThaTSeDfy8/unW0EKpDPZpdNEnBSvBwwpna18gt7qbvEIP1CZJiw4m3Ub9PrI5z1jWtsyKBbP9N4s72Zji5o3WHvN7wurWR3PUDZnCEfxFI9fUdOi0Wd1N8kxfX0mdcCxe9fDc1wxHGh4/vbNmn7+BAkKsGM8aUTxgzH3dtVxjngDv9U1tW27e9pl8Qo93attW21cd3y1UzpjY0bbCcBrckV9HIoT1acbgTK7jeh5njKv/69JxcjNBwr6mssVjCz9d2vSZ1xXXS0d57hxo2Qny3fd7N1RDuaWJECHfLVTOe3LhyuPMEC94ue26ZLPjdAqvkTrLx0WkflQ+f82E54rAjpK2jTV5teFUG7c7pDa1vDnOVfqHdGt/pi3WN63p2hCfHjOVqy0YrjKpxFdxoL9gjzeDTJqKt4IZ0Sj7PwJv1V4vuWiTfmv0tOX7y8fLnX/5z2Vm6Uzbv2txDKRcjEIrVYjO+cpzxS7vpw2Q8I1YyfsHPtysQroIp45Z45Y0R3bhryW1+jECeIcl32oIfSLO8vut12VW+y3sO8YGxZTXMErHZxSfmVerwiUVTD7gTW93O/+QYdTECCQgkCZLtRW6BuItg8aYWM/5NvEgW2ss8g5wBsgp7Myc63MsGleV4YuJAsrgYQVucQHr+OcQqJ4wd4ypjR+OqEywN4k5sNrJIWmxGnJf+1eZE+gtMwXZM8xjLB18pGVVldKbykgAajgaWVykbkUEzgaEZoinDo41Fw9AE0ZThIR16TiRaSWV46kc7hUkYvRe0bvoUc9OHsB66FSRaSRvcFEJKdIWszkpCfd4FYjoJHS0mL985JFoUTYsJHReSNPxF96O+tK9uCJM0xEKrxbcNlQDlftGN0dS2sRPCnYEEYby4d98kQ2D0PvjtU485h+Snsq3S+qqpPoOZxR21/CSuxgYDmAnIatMouBNs8MXqrCTOccGrpqxG9cMK3ZofuIbmmlcZvht3MNOU4amLCQPNL00ZnvZquNP/9P22spyOlsZV+E7fWn0bD2ZgWdVWFWwvYwq8vFztxr2kuETlO746HS18hvfJYkVmzY/Gd4c7/QsHYlzVlOH5u4Y7fuIb/8KhmnKjyF7aGzT8CPI9N3vZBAZ+aLgzEYRihLMxpGyIwEcfV0kC4LLVBTQJKGXpS0vl5jk3Cx97rq+ul+mzpsslF14iR4w/wh63YpF8+atbB8sKO3ZrvmlcxRcbmxW+E2PgCH3nw91ytWyYHZ8qV7t9oy1JDSwXM+EqCX+vGGF84/z598yX733ze/LeE98r/3zDP8uQ2iE2eRhUlfeUrjs2o/6txWYbV03ch2Nof3WW9VWGZ0Jj/GoaWGm4mo+7b3LEBnUwJnwx090cEzdpC7j61OPBBhxicyJ1+BTK6Xs4zKSv2cAXeMU8ZDWwPHEV7hA/7Pgv7Tv+nahtbUmtTbR84zs2J2IDLvOFArTHNGV4N5/55kQXA+iTGFfhu/YVA4u7mcNjuKNvpsUI+rairUKNzfhPYgu2cLWrrG9iSTtK8gcUwYtBqomm0Xmcbz/zYAaDr9hj5ke1YS7iHOryDWZs8neClhVQLVbqMdeHbHQUd9h6tDqoh+tDNuw52OBTQUpxnwDQfEXp12Jm6tJ22lAHxzTMIGsa3Am2IdzBlLq0cywegeMOjxCuncWdFq8g7vR/oG/cJ2+CHOr+DJR2Tj7uWt/R3hhmlqsBvlM/CV+Qq5H2uvEQaq/jkIYruMf4Tv9TB2OXn2SxCUyE744fUa4abDV9mxju2HaihzyR8Lhq/Yz1nRszGmaub6NcDcUqw3UWtIPtyuUrZc7cObJgwQL70eQ/ufRP5ILzL5Cy0Wb8O6HR7viWjz04uf5Vudr9aZ0Q7i6eabjHYpWLvdhRY0Q3l5PHWfh+w7U32NeFn/7yp2VwbW4i9wlKp4nN4AkmGld3F5uYSJwJxOYYVx3uMRskWiruxg8bV0OYmWOUgYxv2tJW3BafV0NxNc282j03x+bvGGYhPBi3sTnR1R+Nq8wDJv56c5EUuMdykTRzov2cINgqfthEK9/B3Esaz2OI7pPc8TTnqJmJOZC2nreTjZBwZghPMHi74c4d2luBQ4OKBqk3DIXEvajYfBS8RP94eWw85PuijYm3mo2B9K+7diA29hdmJFmvv/S63HTnTTJvwTzhtSFrsM477zwZOzb3VQJeP6NDySdofCV/fGuvsWL9+2bGiHvuuUeuvfZamTplqqCT1VDeYJ+ua98hjLVlf/VdIf04ELhayPYWYm4eyJx4IHGkT6IVAi87liFQCARef+11aSpvkrrhnlfChaig2wZ3FyQ4La0tQp1HHXVUH+us/XnllVdk2LvN5zX24RrkNa+tkaKhRTJ2pP45oAI2PTO1nxBYsXyF/N/f/F+Zf+t8eWPcG1amIX+R+35y402tBsV3kqwpU6bIdbNzuwtZk1VXtW/H95va6KzyDIF+IpDtOuwnYNnpe4/Aiy++KM8985ycet6p6vq9vbduNj2YD/E+/vjj8uqrr8rQ4UPlXe9/l33U/swzz8jmzZvltNNO62V+0d2LZORo893HAiZZTU1NsmrVKuns7JTjjjvO1kfCN+eWOXLF5VfYbf1ZObARWLFihcyZM0cWL1oszUXNMuWcKfKff/2f9lM5B0PhSTDFKb7bJCtfJysTIz0YaJC1sR8IZIlWP8DKTt17BNi+fvvtt8tnLv+MXdxKUtSf0t7eLnyq5Oijj5aior7f2mMd22233Sbjxo2T97znPfKFL35BPrDsA/KVv/6KnH322fLd737X/r2+Prdh4YXnXpCVr6+U82ac1x83gufSpmeffVa+//3vy/Dhw3sSrSOOPEJefeFVueP3d8isi2cVrL58Q3bhrgeXZGVvB/mAfQKgYhRcK0tzyTE3Crfeeqtdg8WTm0svuVTefea75c6mOw+qJIv1Z/cuNmKk11yde5LVrfi+P/slqytD4EBCoFeixeJAbSEljXK7MLQPjnJOzIY7J2Yj9omGWD3YD7Ulja9pbDhMtE53NkK+cCzUXtfWGGax9jLJhs5J016uD/mh2Xj0kUftdTxpYtt2dUW13RnT2tIq5ZVmYXNHlxSV5BIoHx6d7Z2ycMFCecdR77AJRZ/+N3nbv/3rv8k1V19jlagvuegS+eEPf2gTLbadjx0zVlhLcsEFF9g67rrzLjlh8gm9d8+yPLHXBqkcXjHcXd/h18knnyxPPvGkvPLqKz2UoI1nfuBM+fYN37avlmhvfiktKbWLu0MlxvfdXbultdnskjWbQbs6DZbmKZoteW2yit1mDVGMqwPxIy1XY3VwPIZ7jO9p+i5mgyeQzy17TubdNs9+7LmiokIuu+QymXb+NBk1epRs7tgsrU/ldidrJdZ3bsyEkuCYjbS4x9obw4wdab+681fy3zf9t5w85WSZPXu2VFT15lTMRqwt4FioWFWIeBdaf0XfxXxN095CYBarJzbPFGpOjPmRdk4MDqrueaIQMSI2N8fGTCwHoB0lbNVlO6aZuqweBI779G9szDZPDTinpqTGu8IewqFdwfb9imKjJaMsrEffiuO+HSnUj0/oxaB/ktR7cuA7X63MgKdwLfWw9VIr2KBNWh1sycVGfVtf2QYLnlkHhJ9su0VOgi2ryYJtNFDAxddhYIYfdteh2WHlw4xdGuhKbS3ZGsS9pbPFLkDVcOc4dbFl1XcOGiz4arcHKyWGO3hwTr7UQUlJiTz0+EMydvxYaepqkp0dO6Vha4OsenaVvPLaK1JbYfrIpPwvvfCSfOGfvmB1S5rbm2VXx66eXadNu5uE3UoNnQ1SXloujV1GU6Yzt+PHteVrN3xNxk4YK23m55XVr0jN6Bpp3G3OM0nI2MPGyqL5i+Sj0z8qjbsa5ZU1r8j7L3q/1ZSq7qyWJ554Qp5+4mk5+5yz5aijj5Kf/vCn8qGzPyTFI4tlR+cOb9/Q//jRsrtFWne3Skt7i5SVGf2Ytga7nZu6WQf2RvMbMr5+vLR0tciTS5+UY48/Vjo7clvWSc5eXfOqrN+yXsZWj+3VL3a3aYWRKBk32vYL7eyjf2aub9jZIA8/8bA8t/I5OXLokdJZ1CmrXlwlf/W3fyXP/PEZefzRx+Wyiy4Tdib+67/9q4z7s3EybMywPk8V2R4e4rvjqttlqXLV+Ipml1feoZvvcJrkMmmjtLS0R6cJG8gq0H/J4nS0QnxnzDCm7NZtT3E6WvkxwiajpbnYtfLFlfLzX/9c7rvnPruz8GPTPyYXTL9AJk2YJEatThgvG3ZuyGkpmZjlw8NiZmIIUgKEQ985HMPX7WUmDnjeYzvciR9abAZPG5vN2PXhTp/hL3EqFFfhGTE1uROT14XI8fA078bZN8opJ58iX7j6C9JZ0Wm5mV/wg1f2lcV+3G1sNudosZk2spgeTOkjn/aUi2U+SR2XqFFHiKvgTt8Mbhvs5YfDnT7zaTVxEeMcX+Cjr3/dnIhWH3hosRkMmQ+ZF33F6Zcx94Z4ZrUb4VqiwB1sIEeiYeraS4zx6V+59qaJEexKJKfw+Up/YqOutc47J9JnTj+T+cTXHnzBBlzVdkjS//RPCHdsIDWicTU2JzLWwNT1j4+rNleA9BzkAv6bfys7Kr1AE/hdAqSJETohQ59InOv7/CQq2RF0EMSFmDQAoJKFYIiNio5cQPRpl1C/q8en5eFs2EXTaKWYtuUXSIcGBzZ8oqmcy8CwfpqgwG/SV2yQfFk/TICz9SSST/6Gr/hT1VHlFYmjfziH3xDu4OYV5+sWLIWw+OITm6T+tJiFcHf2seUwJUit2bBGjjr2KGnuMjiZpOSPj/9RTnrPSTZJ+fH3fixXX3+1vLH5DXvcctL8bNm5RbZt2yYE+ebmZtm8dbO89NpLUlFeIRubNsrwocPtAHFBYfLpk23ysPSVpXLvg/fKFV+9wiZ2JGSV9ZX2evrp9Y1mQX5rk5TXGO0xU9+al9dIWXWZPP3s03Ls5GOlclil3Pr7W2XyGZNl2+ptVtTWpxtHorBu3TrZ3LBZXh38qlTWVdokFh6ANbYRpqQ9VjiztlKWrVgmR773SGlrN1pKppBYrFy5Ul5c9qKsrl3di4MkY3VD6+S04adZWyUdfbnKbsbHnn5MJh410Qq8/uaXv5GvXPcVm0y++PKLUl5bLk/+8Uk548wzZFvjNlly5xLp+mxXDmOzjswVuEqiFeI7XOW4TTA9IpDYoi84xpjRuOq44bOBjhD4wR07ZjqKevlpJ9Hu8a/x3U202LexzPz4YkQ+V+14LjdPVg1/wOv3c39vldzFKLtcOOtC+ei5H5WJh060vmxp2mLtESubOpssbq5NvvHtxGHBzRdn3LgEM1+i5XB3scInJEmMcH3nw51YBV7ENC2ugoGLVe1F7XtilXnKS6L52z/81n5W58TJJ8o/fu0fpaS6RLY3b+8dN7v7hr7DT29sNsdCsZk5wMVV30QLRrTF+eqbzB1WTMIhwdIY322/mh8trrqxjh3iXLJvXN/RHm3M0B7XFgSnk+1xfHeY+ZIgd46TCkriDvfod/QniYH440vGqMMm9ApXY3Oiay/zHkmjJljqcGcMJdsLV91cis/0ta84G74k2M1n9oZXiVX5uGtc9c1n+b7AL4up8TOUFJbkC75ZjR3TcETCtELQmlA9QX3VBbhkxIieqja6BTw13QkExHi9hGCdViASx31PxbjGPd3RxBedXcQRtaditIOgNa56nOoHWOGv5qsj/Pia8aoNiAIxEJtT22voGMKdCZ4BhOidVhCroy1WKNBT7NOoku2qYCWXxHC36saGA0ncq4qqZOKQiTKsZJi0l7bLeR84T4ZUDZFH5j0iU46bIlPfPdX+UiD9sOphUrqzVO797b020WKN1spnV8oD1Q/YIMBTr4suukjGjDbCqHmFtWDzfjVPrv3qtXL8B46XevODDlPj4EZ7Bz28ZLg0lzVLfXm9HDL4EFvXO979DnnxpReluK1Yznn/ObL4nsXyjknvkMOGHSb3P3u/DK4ebB49eQAzdrs2d0nnrk5pG94mh404zN5dwYmGsgYZXmz4y6s8+F42RkbWjJRa8zOixIyNvJf2Z3/4bPnghz8oQ8yPVoobjZCnERH0cRUsee1665xbLZYnv+dk+8vr2GXLlon50p6cetKpMu/n8+TDx3xYDht1mLcad8MV4rvT4sKXEFcn1kxUjzsdLW3MIHRIHJpQM8G+qvMV7uxjfCdWIRSraf4QHFEhd1xFB4uPPdtXhOYV6+Ufv1xO/OiJcsKhJ+xxAZWOvIfoTkhWE87kQgI69WhPcOAH4398tR4j0sRm6gIzrSCqSFwMxVU4QP8nn4rdt+Q++fG3fywnTz1Z/unaf5JDhhySq8asAEgW2kNM1PTJbGw2TyJCsRl+ISSMHV8hOeVJBE+BtRLjqsM9xHf31BVO+gr9T1yl77T+pa3ERa0t2AV34rL2dIY3BDxdCfGM2Mwcoj3B5VriHjwIFdqhvdVIMyfCHca4FaRWCslViKsObw13zNJ/9J32as/d9IZwt1yt0rnKnEisCXEVTME2VE+vNVraYy+HFR3JOfz67vAdYWJ2emz0lvHq6RIarz26dCc5G1pHxo6n8TWNjZivzgbnaYTgnND6DK4tBO6u/94MzFjrsqthl62aCbCxuVHqK+rl0ccflZkzZ9q/I7Vw6KGH2rYiyzB+0nj5+y/+vT3GE63Kn1TKX/zFX9inQHxOxMfBRYsXyYxZM+TII4+UO++9Uz562keFV5eNTebpSPe6JV7H8Yamqdmo2JcbccziQfLwIw/L4Uccbv/+8KMP20X3w0cMl5Pfd7JNkrSyZfwWKdlRIsccdUzPKdTjdmY5ntk2tDRLbX3fV9m80nzw8QdlTN2YXrzv6DBfWDA72dBl2j0oN/Z8BSwrqyrlpedeks9/+vM2GX7ttddk0qRJ8uDDD8o73vEOe1nny53ygckfUNuShu+cU7Tbl3XmzOZzVVs/gY3Q+HbHQnEkra8hG2UlRmTQ/KxcsdIquZNgwdMLL7qwR6ZhU/smaehosMHWV2Jt6U+cCekKxWJqGtxjsSrf1/y+Y3fh1VdfLaeefKr8w9f+QQZVh7fpxvomdjyfRwONVSGupvGDc0JrtOzx7nlxoL5iqxTBNU9J62tszLyV5tXQnBjzM5+roXk1Nm5iuMaOp+Eq52S7DtVpJztQSAQQb9y4MfcdPZ46ffHzX5Qr/vQK2blzp12ndP/95snR4MHBKpOPw5P/z87CW265xWpmbd+xXY465ig56/1nWZvUPWpU7mnfsGHDpKy0TLZs2SITDsk9ARgxYoSsWbPG/qINdMMNN/T42lFinmwqqr/tbe3S0bZnbd7q1avt7rT169fLyy+/bJMd2ser0B07dsgRR+Q+w5Jfpp42VY447ghJPvW0r6fMlxH41XZpkoD+7d/+rUyfOV1aGsxnSUxd9913n931SOHfN954Q/DrwQcflGuuv6aQ3XpA21q6bKn8/Fc/l6cffNomWJdccokVGh0zZk9iDVeryg/ejyIzFq65JrfB5Jprr5HiKvNt1gYzjvVlnAc0JzLnMwT2BQJZorUvUM1s9kGA3Xh33nmn/TtrYS7/9OUypHqIfOc735E//vGP9skN8gtaIengyZRLruy/eTfW/P8xxxwjI0eOtEkJa6MmHjOx5xX3c889J6eccoo1jx0kF/jbkYcdaf92wgknWOmHhx56yCY2x7xnzxOq/nTn1q1b7WTNqyASnIkTJ9oF8q++/qp9EscTu2TheE1RjV0H09/CtZ++/NPCmporv3mlbFuxTSYdOkne/e53W1NMkCRbTzz8hDz1xlNSMVHfddjfug/U81966SX7ivDu+XfbJ5qzZs2S888/v1eCdaC2rRB+uycELsmaPHmyTbZ4asqi30wipBAoZzYOJgSyROtg6u03sa3HHnus3HvvvbL8peUy/Mjh8rEPfaznMTnaV7HCWp0LL7zQJiu+QmLz4Q9/uNehtW3m0yemrF271j5FyxcsPefcc+T7P/++nHvOudK4tVGuvPJK+Y//+A/5yU9+Ip/4xCfsGp3QKwPN3/e+9719DhXvLra7tfCPJC9ZSBL7qyvmbJAUnv6+0+0TM15znfqOU3vM83SOdv3nf/6n/Oonv5Kjzz1adlfpn9iK9cGBeDxfNoUEiyeeixYtst8inHHRDDnj7DPkvZP69tmB2NZC+Ox2NvLtQpKrpE5WlmQVAuXMxsGGQJZoHWw9/ia1lwmPJwf3LLhHTh15qpTVlgn6UWkLr8R4vZe2sGiT13pIPTxw/wMyY8YM+2TJlXHjx8lpU0+Te++5Vz72gY/JJz/5SZsInnTSSX0U5NPWqZ33/DPP26dVZ5xxxkBNqde3drRKW6vZSZQH6dChQ+VTn/qU1Q87ceqJ8qd1fyqNjY3C/oCDofA6kEW5fCoHZX7WYCE0ypq36dOn21fJG9tzr7OzkkOgqrpK5i+aLzfMvsE+DeXzOujQZSVDIENg7xF40wRLYyJhAxUsjYmmAVnsnNhxbMTE6tKKs70VBEvTtDd2Tug4a1+mXzBdNrZtDL5+sMJ6ke/ixPzowd0kaGefdbZ3EfppHzhNNmzcYF9l+pIg17cxUbwYV0kQT551svqpn1hb9parJBX57Vr8/OLgQvZC+hHDLBSyXGyI2YgJCS5/Ybn84Pc/kAcXP2ifUF568aX2FaH97JIpdru7ScaV9cf2nBgmheTqfhEs9W6f3dMbi+9eLP/+zX+XU6ecahXfeV2YX2J4pMUs1ncxEchC+JFWoDn0ZNv1f2w+i7U31p7Y8bS4DzSuFsKPtHNiLK3Bl4HGiFh7YsfT5ACcU7KmcU2PjtbG5o05bRizpdG36p9XHPZ8o/XBNlSfZszmls25NTJGW0bbObC6YbXV8eBus4+OlpE6QNoBsULEJH0aGgzCNQ1rrM5OVakR6ExoYAEOmjRWRM4Unx+cQ1vQSKorq/PqV7ElF0y0gowBfm5o2mDP8+losQ2Z9uCjb7DxN9pJmwj8mu7I2sa1Qdzxg/p9YnM2ETBvjHa077BaS26HUjKAIhDohBc1rRb6LoQ7x/CF4tMv49XfGy1vSNPOJitXkKyHnYTUwVoQ+gcbPp5taN5gdx36uOpE+9Y1rbPXlpSVyLaGHBdcAfctrVvsDirq8fLdXAvPwNTHd/hL329tCXDVJIwN5Q2yunm1VLT2fR2JH7SVrdvarjDLVeMH53m5inZRe5O80fqGTVB9bYGrCKduqNggYJfU0XE6WrRHK/jB8ZiOFlzFB01Hy8YIcxy+Jn3lFTHjAR2eV3a9InWD6vroaOEHYxt5B8d3KzRqrsXei8+9KPN/N1/uXnC31FTXyIfO+5D8n/P+jxw6yexoNTpYjAFsIDSMYGEoRsBFxgRb+L1cbTRcNeMqxFXwYKu5j+9J3DUdrVBs5hp2R9kY0b0j3KdNRL/D+WRctZ8ZMk//Fs8zm0Cuu0GOP+l4+bN/+jPZXrzdasTljxnLVYMbO4dDMcLqxnkEOtPEZsYV/cv4hW/MJfnF6WjBo0G7B3lf8ce4mo+7lnxgY3PzZmufeSjZXo4jVmvj6q7Xvf3LOcQH9KeYC7yYmf6DP04axxfvELRl92soRsBV+sbLVbOZB37Ad9/4d4lajKuxOdHhTrxsqMj5myxwdF2jic3dWnTJ9hKrHO5aDoBN2gumPh0ti3v3nBjCfbUZv8QRJDF8eURsTqRuhFHXNq218g6auGoJuhtuWzEn2c+kdP8tCZAVETTiX+iwFBchKNO7uCBPIqbZ4AomY/QxfPo2BGf0N2xgMhpX7bv7qtxaoTEzsWADjZI+Am/mOIOV8zQ/nFgZdaEb4rtrYTJikGtaHqhOo4/D5IevmjK8067xPfnADyYLp6Pl8wOyklDgh2/3GzZc8PG1l2PYJfBxnF8CZTJ4MTjAP4SZ6zsNd/dFgGHlw1QFYzSm0GkB+z5Bxdxxo5EF8UN+0C8hX8EU3PHDBtLEW0o3OYGtynfjneOZD3fqp+9jXGXMDC0bKohx+saM0/uJ4c5E7eMqbXGTmmYjn6tDyoZ4ucr4J5BqfLeTkxkT8ESrJ5+rmjK8k0Tw2UAbiTaavZbWD9+k4fhOgCQWEUfg8/NLn8997NnooA2uGSzTL5ouf3Lhn8ih40yCZX54vbq7yNxxmG7ABkGSgBzDHV00+OrjKomHG1e+sUs9Tq+LGOE7B6463H2TvrtxCMVmcKcep0GW5JnlKlpMpbt6xVVsw8u7Ftwl//yNf7ZJ1ndu+I7U19VbvNCgc4VzLVdN3Ithhh++RAsbsdhMHcQX8ILzvi369qbSJONDK/zag2m4mo+77+bCxohuAVEtrraW5JTH8cPXv64/8Tc0J/JgAMx8upDYoO/L2suiuGtc5Xqnw6eNf8dVLTaDEeOfOBGLEYzJUIxwXPU9fIBfTscLn7Xkxc1FPu2xtLg7GxpXY3MiuPKwZ3DpYKufqMlJlOQLILrPN2gCngBNYsF52qNQjkHgNDY0cTYajVAcncWPrzg/tE8WkLhA7jR+aOcQiGkPE6lW8JOkgAHCT7IQAJ2vmg3qsMrwyueEHO5MQBruNkk2yW/IhmuPJmjHJBDrO3zlV8Md/5gAQ344G9o5HMfXmA0XkH249uCu6B9xDfVw3kBwd32fhquauK69SzU/sfbir3ZOGtxjXGXiivGd44zbNJhpTwpiuMMtxgN81z6N4XxFjBUdrLm3zLUbDnjV9anLPmVfERaPMsnaoJzQJImbz2cS9oHgnparxACtHoKzjRERrtqgniJGaLhrcfW+e++Tb3/j2/K+U98nn/nyZ2RYXQ4z38YN90Ql5ge4aN/vTBObHVe1OGOfmJgnPKHYHOOqwz1mg7iotRc/XFzVzoFjacaM45Ivnjk9rzS4a+e4Tytpc1X+/B6aE+FqCDOOU4dmAzxDAr744fodbDXhW2dDe33YH9w1rqaZE+1cZZItjat2LOV3KoNIG6ScZ3dHdYuJahO+9mgzWY/2WtHW0/2jZjfmQKye2HFsx86JHe/xNfHq0tdWbIUwC+Hu/IjZCGHqfA2dk6a9sXNix9PiHtvx55ITjSPOj5AIZMxXro3x3fdqM+lTrJ7Y8bSYpel/3+tc528h/cCWFgBj9bi+D7WH710+/tzj8sAdD8j8BfPtq6+Zs2baBAvNNsprDa/Zj5drNxYxP9LinoqrnlcoSdxjXE0bIzTcfXHVSTiwu5Bdhrsqdtmn+NrkVijM3kpcjc0zof6lHS5OxGJRrJ59HZvfarEqNJ/FxlT+2NzbOJN2fA+Uq30SrRARsmMZAhkCGQL7AwEkK9hlWmkWsPsKMg2/mvMrmTdvngyvH+4VGt0ffh7odeSLkbLwnc0Tm3ZuysRID/SOzfx/yyGQyTu85bokcyhD4OBGoGHbJtmxZZ0se+YJeffxue9fUlasMDINZg3WooWLch97vvhCuwZr1Gj9+54HN5J9W+/WifJZHaeThYQDSRYltoM2wzNDIEOg/whkiVb/McuuyBDIECgQAojJ1tXVSW1t7huQ3/72TfKd3zwuTUdfIR+44nvymY/cIR+fNV3unL9Q5psnWPZTORdfIu8/+/0yesLo3EfDlZJ75H9wCbQGu8XsCWEN2+MPPG6/XZjpZBWIxJmZDIEIAr0SLRZzhXQp7BZqc4723Tfq4njHoD3ffvPVzznawmDO55i2UN7Zw4a2UJZzOBZanOZ8DdnAj5gN/Ay1BaywEdJRcYt/tb7i2hjuvl0TSXvOF60ebLQUtwQpsz9wj7XV9Z32YXOOu7aG1rVQT+j9u92RFeE7i+ALwdXkFvZkJxQC9xhXWZcT4zvHQ+11XA3FERbJ8iHvp596Wr705S/JD3/wQ5to/ep//6986Sd/lLr3/YPUG+X2FiPAetOiX8tvb7lMTjr2eLvIfdq0aTJ4ZG733rY2I9nh3ytj4RtTW2+WyvfdoOKwTRMjwERb49XDQ+U7mGljFXjaGBDQjovF5jS4D64bLL/+1a/l9ttulw+c+gGZfd1sGVTe+wPR1KOtz3Jxta24t9zCm8FV/BwoVx3uoYDndlFr5xD7iTWheSTWt45HofZgX9t9l5ZnztdYewc6J8bmd2JDbE4McTC/vaFYlBb3WB4RmxNjcdXOR8++8ay0dJmP0ZofdHgYsGz/9C1GYzHd+ub1MqpilCrvgP4JOyTYdq0taENXym7LNkHMpxmCTy/vfFme2vKUd7skAQl9FbZ++gaC3aZqdr6hbzGmaowqM4CeCDub2EHhk4hgKyu6M9jwFQiDnxTs+LZ2sj14Y8tGGVM5xvtYHl/R+yCJTYM7g9rnK3ofaLWMqBjhPY6PaDE9uulRq/fhs4EMAduMR1WOUjGj79jGquGOpAIcCOGONgqTrW/LPHhQBxopT2x+wmLr85V+AX8fZthg9yS4j63KLYxOFs5hoibR0qQoqBeejawY6eU79T+/9Xnra4irMczAHOxDuOMHUgcaV2N8d1x1O9eSCaaTEECbSOM752xp2WInFk2qwMWI0ZWjvTcX2EB3qLqoWrZs2CJHHH6E3R28dOdz8sO5d0jZey6VilKjBda81cSHEql913nS8OyzMvMfzpGjjztRXu94XVZtWSXoCjm+09fjakbL4KKJ8tzqXXLqUfWydmur/ObhBhlZ1yofP22MrG15zfB/fc+NJH6wtRspkY9M/IB0tNTK82sa5PCJjdLVWSKrVpfLyUfVyLIdy2T39t2qrAZ9y7gKcRW+k6xp0hxMoJtaNlncNXmHNLGZeAaHkjd1xJbqymp5fOHj8tt//6186LQPyUc/91F5pukZad/ZWz4H7Sr47tONw7c0XGWOYFyGYjOyGHDEN0fAUauhZqRTaIuPq3AGTBjfmqxGiKuO7+AejBEmlmFfk3fgBgkNrIc2PqT2L23lPF9sJi7hC7gTh3zakmlxJ0aAmU96Bxxf2v6S1fsKxSr02ogxWmyOzYkuRsAfn3wP7aU/4ao2J9L/L+14yYZszVeOMfbAVONqGtxjsZm4jMahxlVwfW3Xa9ZPYrB2414yf+18O3ickBz/2m2ZnifuEA7BMwAkMfPMXlZ3iK3qVgdDeWqPDauVYwBNFupfuXOlneDufP1O1XFAZEslmhu+gv4W2lP1pcqrBXMjh42e7NvjK4kTIDOp+Aq+Ltu+zA54kjofyGBBPdjw3rEaPwj4PfIOe4k7uiRseQdXDfeXd70s96y7JzcAkjsljR8ELxIljms2mCThRxB3wwFrw5/hWAFIngTZO7hEe8EBLElg71xtPkLt45Dx1XFW46rDnYCv+eHETjWuwncnEurjuw1eJiAgSBjkKomFCV7eJ3BpcDfngJndlm3kRIJ8V/rOcZXkksTex1W0phA81PjOA5eGNhMrzEL1gcQI2gI/vnj2F+WVF1+RzkGd8siW++TVHRulYqzRqzKJk5XRtzt1S6W4rlaWFS2TpSteld0duY+J5/MdvaezD/2Q3P1MlYwabJKBlk754v8ul/e9Y4g8tmqnbNy2W6aevEruenVRr6fPBMb68hp5d90U+af/WWOSsgr5xPnrTeCukGdeGS87mjpkS/1yeXbTCpvk+rjKTQXjKsTVEN/txFOgGOHjKuOprLJMHr/ncVnwgwVy3EnHyUmfOUke2PmAtG/qq1EIP5iskcPwxfc0MWJ7+3YrVaE9cbaxORAjXFJAHzMP+LhKrCMGBLnaPa8NJEYQmylICfSJRYaH3EiTFC5YsyCnk5eMV46rhtM+DjmMmROJQ1qMIC6T5NA3Wkx0mm6+p0HwgKSCuVWNVd1xRovN+BqbE12MQGrIPgkOzGfanEj/P/PGMxYa4q6WvICZTcaVXCTNnAhm9K3GVW7mQnMivq7YscL6AA+0Xd0lXzz2iz3jiezNPdbzz05i77y449EKTnGH6QTHfOdx10wmqpWHNz5sM8TPvftz6jlMFtxlhErsHIKKmgB1G+auiKdvWvnB0h/IsUOPldNHn66eE8OMCd+qM5vHw3uLO3fFTByIEmqFu6p/fO8/qkmQTaRNksMTK63EMOU6njYNL9cxg9xOs81XD3X863P/KlefcLXqBxo6DI7Q4/YY7u4OJKQJE+v/JeuX2DvFvzj6L1RfScS5W9UKgYQnK+qkYS5kQucJbuj1Uqye77/wfTl++PFy6qg9H55O+hQbm0xusUflqXA3yUWl+SGQvbzsZRm0pkzKX1snO1vvl5EnXSRiJtndJrHcsfRuufjYSfK1k2/o5WqS75u3i/zPqqXyX1ccLb99bLOMHlwun/3YSNne3CmX/2CFfObMM+X0KWf26YLW9t3yzduMUnxxh3nq0yFThp9mz6k9rkn+5Y7X5V/MtyL/9DD9/SRfOYhxNRbMqS+GWZrYrHH18fsfl8d/97gce+Kx8ldf/Su57J2X7XWcsVw1iTJc1EqMh1wXiyNg+v4x75cThp+g1rO51cwj5fo8UhCuwkPzE9Kv6nisQ66bfJ06WRN3SVDtTbBSYuMumuCkwHTljpXym1d+I1ced6XqR+ghiLsoFhN5OMFNYej1X4zvc16eY6ubddisvcYsDe6MX018lYrTzIklxSUy45AZctTgo1Rfe63RgpihRMsqw5sMv6OsQ12nhY1YooUNEgJtbROJR/JzNskWUA+TrDYA3GuwUDKGDSZrbQDgA+eEEi3OwV+tgAXt7SrXdbSoI5RoEdzS4J4m0aIu7WkTx/gNJVox3MECX0OJFjYoIT9ia5Zc32mJlsN9d8VuNTnBBthqiRaDzN01a+sSuWtKw9Wq4ip1rY/DPZRo2fbyKk0J1uBu1aUDCV2Mq2BO34VugmKTl+NqZ3mnut6zs7jTPsV5eeXLcv/998svfvELOfzww+WLX/y83LnkCbnjkZ9KzYTjZOfrz8tJNSvka1+8qc/wwo98vs9/3ryKGFJunoANkpc3NcshwyulUbZIafFgqasskVe37JLjanpPdC3mxuSN1gb5u7PHyTOv18nvn9jzuZkjRleZJwhd8uxrzTLlcD3Rwo80XIVLWv+SNIJ7jKuh2AzubuzmvylwEg4fPv3D8s5PvlN2luxUYxUH8KOtTNfR6uFqINHiHOKyduOYJjbHuMoNveXqABIthztfCtAKbQklWvhJ/4eernEslmjRFsa2Fs/SxggnnuprD7gnP73lm1e5mdNic5o5EV/BVpt7SRpjc6Lv03tJX7HBmNLWaaXB3XLVvBnTuJpmTgQTsA2VbNdhEJ7sYIZAhkChEXjphZfk5ptvlqceeErKK82Tp89+1gqNjh49Wi6/vFGu/MpX5Af//TfyXzd+Qy6+xDyBHao/tXC+LV/fKGOH5l6rdnbtNq+meSXH90Vz3/L2aQq3m5ugTjHf3KweIU2tfb/JZhO0TS0m0dJ3NhYam0Lay5dw+OrVX5UlO5fIls1bCllFZitDIEMgBQJZopUCpOyUDIEMgYEj8OKLL8rcuXPlrnl3SVV1lcy6aJZMO3+aTbBcKTNK7pNPPk1G3fY7ueKzf5O60g6TXPHtdMro+jJZtbFFamWoNJiPDje2dprPyvRdy5l7Ddt7111+hWb5hVmTcmDJQzgdrHzFd8RISypKpHlDc6aTlZpR2YkZAoVDIEu0CodlZilDIEOgG4F84UuU3Emw+BZhbXWtTJs1Tc47/zw5euLRXryaW1rMK12TIDU2SnW1/p3R/IsPGVZpVM1zsgNnvHuo3Pr4i7LwuXr546sbzXqtUpkwtEIeNwvjK8uK5D0TzEadRGnvNB8Qb+vs9dcGs75rrFnrdaAUMGdRrkuyJk+eLCRZDsNMjPRA6cnMz7cbAlmi9Xbr0aw9GQJvIgJ2raERFWXCR8mdV4SLFi3KCY1ecolcMP0CqRlVE13X1N8mvO/owfLPd7xmErTdcsiICvnq9EPlF/dvlGE1JTL7osPt067HVhlJiPYub6I1cVi5nHLU4J5qN+xoM68gRd51SKm07zYfBR4UEOzqr7P74Hy7a9k8JVx0zyKZfe1s4duF+UnWPqgyM5khkCGQEoFeiRaLKGOCpbFzOL57UPhxe8wGWyZDAp+0LWYjdrxQNmK+Oj9C7eGc0N0m18baEztOe50djRtpbMTOiR1Pi3uh+j+0S8/iHnp1ZI7F2hPr/7TtDY27QtmI+Rpraxo/wHPZc8vkJ3f+RJbcs8R+2uWySy6za7BGjMqttdraZuQlukwWoyxCdn0fwiTp69HjqmWcWaO1ZOk2OdM80Tr5yHrzy2dl9rwyPHZCXa9xlm/juEm1wq8rdzy5WU47aqh5GtQqHR3FUqrckmJjf3E1GJsN7gvvXCg/vPGHcurJpwqf1amo6g1wrP/T9G8hOJLGxlspVoU+cOz6vz9c9cXfGCax42n7rlBcDeUXMV/TzIkxP9O2d3/F1Vg9JQiloQXCiQg88i87qXzaFew6XNO0xh7z6U4ADlv72fHFrgNN/wKBN477tn+i4YFoGtt/Nzdv9u/oMnenaxvX2t1+VpwtsY6CpIVdAGyJp/i0LThnbdNau1XZCgl61mKwmwRftMmYXZNoKHEOooS+HR3ovaBfYhMdj94HmLHVlTpaOnhl0ndRLn8L4U5bkKpg9wN92ceGXQ2c0w0De3Z82Ykur2CDbbngQWDRMON6cPdppGCDY2zvzgHfdzhyDpxjp59Pzwv9FepAkJI+9vkBZhtaNlgOalwFd+oBV1//YYPt4WBFv3n5bhqAL+yS8fEdrtLvcIDt2eg59SkGe2zQtz6dHfBA2gHsaavPD3zFBud5udqt1QPutNWHWXlJuR0PG5t0rsb4bnE3QoPs8nEaZIPMavOKigrLmReffVHu/t3d8od5f5D6mno587wz5Zxp58ikQyZZXtIGxkAIdxbHb2neYjF/veF1qSmqka6OvlxlGzq7DrHLuaXmQ9R/+v5RsnR1i7Blu6mzydY3wsiMVBg9H3A50rwyLClpt3aJc+wowk6Oqjmy7jZ8qCquk3qjPXXmsUaw1Ign15idi1bAMREjerhqxtW6xnV2XCU5D2bEGY3v1ImuFDEixFUtNoM/TwsX371Ybvr6TXL8ScfLn/3Tn8n24u3S0bDnCx3EKrgKNmpcNb4w5sDUt5Orh6tGa422ejWDUvA9FpsZV3AVTIit7Z0Jva9u7TkbN80rZl/J5yr1+Xx1uHt1mIjXxAgzruEGsbWPcKoZu+yOI67CKTT7fOfQFmRMmBdDcyLjz+7E92gLUodrh88GfQPf4bSPq+xYJh4i36PNVWm4mjZGMLc3lpvd9p75jPHKmKCdvoQKDJCQ4Dj/Ejt9hfaCqcbVVLibfIY+1GJzbE6kbjAFW8SCNfX+Ehe47SRpghMBCGE1HzH5W217rRUJ80082HCE0mwAWG1bra3DJ74IIUie2OaKkJhXAqJbbLRHBdeTaNGBNJpztKQB8U38QGrCdw5tgdxWJM5T7GdejEidU9LtMFo8ycKET2dpwmpgxoTBvxpmkDWGO/XQ6V4b3YmW2/pLe30BAd/5ewizmrYaW4dPBJA2MPkwGDVhPZfQEQx89dBvHCPYhvxo7GzMSXMoXGUA7irN4e5V2yZImi8iWGw1vpuRDlc1vvdw1XAAgUZNTJT2UIdvC3H+k0zND84Bd/zQEi2wgK8aZk77ijGFPz6uWnmHAN/dDQx11ZUbeRaTvCFy+sLSF+wrwvsX3y811TUy46IZ8qcX/qlMHD9R2s1PW3ubHV8VpeYzMxHc8ZMk3o4HcwNUW1IrXUV9Ey2b/CJ3kdd3o0dVyxHmtWSjSfaxs6OU8V3Xg3tZSYlJIorNDV6ptQ/XsJOPGZNqmRGFnXUKn/nplA3dscqHew9XzaQS6jvGLrhrfUOcaihtCHLVG5vNuAbTu+ffLTd+/UabZN14/Y1SV18nrW0m6c972+m4CgfVuGrGvxvfmuilu4HS2sIDYmdDuxmLxWZ8Je47riIHkiwtRS05eQ8lNjuuwoM0uPviu+WqmYThhK9/OV7WWZaLVSamaucQmzkvOicq8g7Ugw+hOSI/RnhvCsy8zjwFrtr4tzbaTawyfmiYxeZEbKBxSD1aexlz3DQ65f8k9vmfNMJnTY/LxUQt0UqDu7OhJVq0JzQnki/14qppmzdXyNflgVQ20QoIq9W111ntCu3RHkGDSS5owwyOkP4F1xIQQiJxPA3hV9MdobPo0JAfXI8fmo6SFUU0T/e0wQyg+AlxNV/ppJC6PDa4W3ITi7eXzB9JCkO4Uw+BJ9ResKLNmpis69M0mGm4Q3qb4AaEU50PWj2uX0N+0NaQBprFvWOXrlBvMCWxsIlWgO87ysK4gyUcYFLhx1fq23M803Tj7JOM7sRC63/Hd42rBCPu0ENtiXGVwMSTqhDfW8pbpK7CJFnmZ+WKlXLLnFtk4cKFdn3Q5R+/XM6bdp4UjSqSkYNyosacV17ae0F5DHcmWJ4yIIqpfWeQfrOTl6fvqvmyhSle3PM+aEGsC8UIc9tg+i3Xd9r4TsNVzqFNWt/gA5OT+jUF0xYtNt+75F757vXflfef9n654stXyIj63OvZ8rK+i/gtV0vDcZW+B3dNKds9dYvGCGNDu/FIE5vhqvs8mm9MVHRV2BulEFeby5pzN5/K+Ha4h2zwtNsmWooN+81F8yWB+vL6YD0xHS2He0jkk/gcwx0OaVyljpD2pB0z5np7g6O0N82c2FTWlEu0FBvgaQWaA1psVomf+TUUVxmbxob22o7+jeFu46rpO42rYG4fMAXmCDBlvnM+exOt/D8SvEJrVtyrDc7TEi2OaY9HXV2xczgeei+OnTQ2CuFHzAZ+hs5xfsYwC+Ge1kahfNUm+/2Je6r+51WNUhxm9k5QWYcV45Dr21DfEYhjgqUM+FDfcJzXNfsa97RcDflRXlEuTz/3tCy5fYnMWzDPrsGadbGRaTAfex4zJvdNUD5F0VmjC5bGcHdYpRlX+xqzNL6m4qrnFUoyHsa4muQxuwuvvvpqOfnkk+Waa6+RhrIGmzhqE4+NqxG5ip72KqoXMTwKFSMKwdWYr7Hjri2h/nVz1cHG1UKMu9icGAyIeTlAiO+xOTHGgdhxfIxxlXOyXYex3syOZwgEEBhXM0aqy/zf23SX1ZSVBZbcm9c/JaVSVpZ7CvNWLstfWi7/99f/V+5ZdI8Mqx0mF198sU2wxo7d8+HuWGB7K7fvQPLNSThMnTrV7i4k4d280yjb6195OZCal/maIfC2QiBLtN5W3Zk1Zn8jcEz9SfLMayy2NdKXeU8BkBG49bFNsnlXm3z4mMEyfJz+HcuujnL5zcNm8XLnWrn4lFFSaxTJn351l4wxGk6jB7/5sgLoYN1yyy02wdpdtlsuufQSuXjGxTJq1Kj9DfdBXZ9bz5efZLG7kCSLBDd/vd9BDVTW+AyBtxgCWaL1FuuQzJ0DC4GbH9lgPt/SKScdvkdYs8OIX37plysEZfEjRlbJlb96Va6/5HB51/i+4pvoPl09Z5VZS1IkJcWD5Ku/Xin/9sl3WDXzH9+zRq6acdh+BSR/ss4XGmUyv/SSS2Xqx6bKkYccaZQZAh+I268eHxyV2YXK5TVy35L75JprrrE6WSRZaQVdDw6UslZmCLw1EeiVaDGYQ3dF7niac0LNjdajbMnPtxm1EWkLtgpiI+JrITArhA3b3u5F11rfxPAoGGZpeBZ82Za+74I6WfgR0dEKYbajqUPuW7ZNvnHxEb0g5e9V5SXy9YsPMzvjjIzItlZZ9PxWb6K1dE2j/Z7enL8/1tq47N+fkydf2Smnv2Ow3PzwRnnK/PcJh+b0nwY87iJcZSFueXm52ATrlrlyzz33WOkAEixeEY4eM1q2dxlZhdZmqSj3J1qpuRrB3XHtTedqbMwUMFaFuFhTUSO33327/PBbP5SpU6bK7NmzpbJqz1PSVLgX0NcBxfc0sTllXN3nfuQ/pvZUZnGPcSRtewN1xcZ/qthcqP4vVGwOtTdSR6r2Fgr3WHtT4Fri9EHoSHbYsbCspcRsafUsmmTRF5oWnMeulOQiQWeDXYc+3RE32XO91T8q7rs4kx0p7LBhZ5LT40ry29WDDZ9uUP5xuz3X0xbOsW0p6m5LUiLCWGYrK3Vwnm9BJDta8JO2ut2WvZJBY4OdXA4zdlJpmFl/PLjTPl4LpMGdnXi+9toJ2rzacjtGNE0Y1y8hzNw5IdzxNWYDnjGxJ/uGTRbUga/2C+7G7yRm7hw4qGHmcGcXnSbv4DS4NF+pF0x9fC8vLpXHVu4w2+uLZESd+YJxXhlWWyyzLxlnxojRyDKfcXlhTYOce+IwwycjJ2G+yedKeXGJvL6lxVzPDrHcYvgxQyrkFZN4TT68To4eVyULnt0qxx9aY31gJ48ddx45k1jfaVwtMk/S3I6bF5a9ID/5fz+RJx94UsoqymTahdOs0OghYw+xukmMh+2N2+1OLnYD+cZVD1fbc7FE4zvn+XhYanBlTFnsiUdGjsGn+Wbbq/DdBWGHCf+vYRblqqmjoqMi15YE7paH5jhcpS0+/TkXizgXnPv4YdjJblH8gKvJGOH6Z/68+XLDdTfI+055n1x53ZVSWlVq8XExlUXw/H9Te5M3NhNX6b9QXMWWjTOm7zqLOtW+szExEFct7sYGK4D3hqv4ip/U4Y2r3bILtu+U2OxiREeRib9KXAX3fI5o84yd9zztpW9d7Lfj09e/3fMq56mYGQ5wDBu7i/tqGKadz2xbirvHXVLzjXm9G08fpvljhhjji83EUTsndsdEX5LrfGV8s3PUx3e46nhmd/UlhMNcrMK+lgNwzPGM87U4E8PdtiXG1UCcQc7IzVVwVtvUVIIgG40BXITs7Ap+MxcARrLQGM6nYaWD+jbOCbwBMvZ8NrCJCJnTn0h2BHoWiG8ivIbgGMHHNwCwQT0+wVL8YLs019PZvgW6VlzVCCPajvAIhTpSUY9P/wifqHuXEe9D9JC6XOBz/mKDwYwNtoD6JnxwAFN7V2TE93yY4T82Qrgj8EpbysynQpI2XKIFls4X+jy/gAdbbhEsxVcfZthJizs2NLFRbOCLTyiUNnK8sb3R8hEbyUEEuek7N/klfXW4g2sMd64130NQ+e7DnaRjVNVgWWk+XDzKfMDY3FbIM6+2ygPLDHYm8TrrRLM9usYkVS2D5K9/tlw+cswIozJeY0QNjailaY9Nns3P8EqjEWXGWmlxkbTuzk2axSbx4Rwj1iGTzKdk7nhyq0nWWw1HjCAuk4+Pq6ZfnFBsVXFuvU6ywFU7pszYslwxAZOnV+R3zz7zrNz927vlgcUPSHF5sVww4wI58+wz5ZDDDjGq6B3yWsNrNiY4rjIR0i8hrhKofTdjPSKQ5nof7lWVVVYAEtuIVbaUtUhHe1+u0g6w8PHdTRpO9NCXFOIHsivUpfHdxgjDRXD3CeNarhqBZrTH4JpvVx+YOb4jvKlx1RcjGG+8Gpx751z59uxvywmTT5DP/dPnpLWsVXbs2tHTxfAJvLCh4Q4GxCnGtxZXXWzumWgTEyB4IDPT0JbTSQrFCC7VcI/FZq6z53RzNSlYaW9KTdJgY3ORmcwTfubGUS6uwlXfzjEwazOfVkLAlTHjK47vcJ0EOMl38MAPNM6IVR2dHd5zEBKm75kzfWMGX+AR7fLFTYu74SnjFykJnw3HVeK6j6tofeEHNhj/PhFQx1Wu98XmNHOis8HY8IpnG6DdfKZxlVhFeylwlrnAV+j/EFdpJ+2I4Y5tjauxOREtQfwDWxtXfaLVxn7J+OrxPW2gMwBqWMUwb8McnydUT7BE9hVA4mkCKqmhMqZqjBV685UxlWNkU9MmGVGZ04TxFTp9eMVwVWeHiQcRyQk1E3Qbhtho5Gi6UnQSPh5Sc4hqA6xo68jKnG5Qstjt1garQ6oPUV/90FmuPT4bDHQUoC3uJMKegs4H2Tm4agXNEPAYW7Vnl1j+uU4pO58TSVsx3BmkaD1NrJmo+kEbnGCphhn6KKG+YyAzyDSuuq8dTKqdpPpBUs+g1/qOC2kvePj43mom6iKzrqrE6Gd1tLebXV/tUmU+Wlxugn9LQ5V84RcvylnHDZdPGMVyLE308Gh47Q7Z1miSnkG5Dx1vNQrTw2qHmLBeJWXmTrytw6h0D6q014a4Cu6MvRBmQ8qHyJjqMT1jk12EvCJcuGihVFdVyycu+4Sc/LGT5cTDTtyDGRsq8zZV8sQJ7IeWD/XiarlqxhX9r0nAENRCuI+oGGH7dlLNJKmqMJOg5y0lQrK0OcR3nviPrBipau2RIBEcGVdaof/BTdPIYWKjX0JjBhy4XtPJwgb8or3JwpqsH9/4Yzlx8oly/fXXy6i67ria2OhqkwFTD/2v4T6qYpSdeEJxlaRlXPU4r9o2vg1uH2yTNc4JFcaUprWXJjYPLRsqzAPaPMJNJcleKM7YG9MAV90DhkNq9fhOjABbDTPwrC+tt35o/Uusw9/RVaNVyMCd45rWXn1bvb0xiOHOuNS4SjIIl0NzM/MMIsGatpidE81NVAizEvOknqd71OUrbuMG86q2HIIYQGGO59dbzPgeV2XeHJhk2lfS4M51I6t0rto50Si/j6/Zkycl62Kuwo/RlXr/9vIw9+xA/06hOx49J6LVkrae0EDebzYG2haeyHQ/ldHWYNgnP4puDRi4VxKh82J45NvRcPW9+kieG6sndrzHjxQ8K0T/44+K+wD5PmF4hTyyfLt1c+qRdfaX0mJ2HJ570x/lnWOqzPqqWnloxXY5anSN9WPZuka7/sqVYyYalXazeP7mRzYaMUlz52rWd510WM7O+u1tMtI8MbOYeZ7s5eOTBvfSCpOcmo/2vbbyNfnf3/yvFRrlicnFlxiZhvNya7DWt+U+F6VypJvPQQ6lxDVkw/Ek6EeAQz2YBcavxXSg4zvS1tR898QI1six4J1vF372q5+V6rq+mykcPqljcwyzWN+9lTCLtSUlV6N8TxGronNizNcY7oXiWcyPAsSZtLEqFpuDgahAMTEWN2PH04xvzsl2HcZ6MzueIaAgwDoqPj5MYsUrQ1c27Wizsgzcsvz73aul1Xyq7XMfK5ERtaXy0yVrZeoR9eZ1YS6zrjav6q6ddYT8cP5q866/S66eeagMqc4Ny+de3yVnmA8kF6rsfHmnfO8/vydNz5l1a+WD5JJLLpHp06f3yDTwKqW1tfenWwpVd2anfwgsWbLE7i5EJwsx0vZKs56ouVlqKnNPPrOSIZAhcOAgkCVaB05fZZ6+xRCYOKxCjjRPrRY8+4acd+Ke19wTzZOu//3ce3q8NasmzB1NuXlC1SFnvGton4eXR40pk+9+ktcXez6bsmJ9k0nQuuSD7/I/fu8PFC+++KLcdutt8vPbfm4/0fKpWZ+Sc887t0fJvceW/jC7P9Vl5+4lAu7Jq9PJQvGdJ1rsLtzRtEN9RbKX1WWXZQhkCOwnBLJEaz8BnVXz9kTgMx+cKA+8uMMuajfLG7xlbcNGuy5iSFW5XDh1lNXLyi87zOLiXWYjwvi8tUIvb26Wy04b3etJWX8RJMFCaHTRokUycvBIOeIjR8jffPxv5Kx3ndVfU9n5+xgBt67KvS7MV3yn6pC0xz52LTOfIZAhMEAEskRrgABmlx/cCHSWr5Nj3tVokqzQK75BVjm+0iyU95Xck4zeydfHjlU2pChwMxGjeUVZvny5TbBYg2V1sC69VGZeMFN+vePXUlmvK9Qf3D355rXeLpavqba6ZTzBQozUfVbnzfMqqzlDIEOgUAj0SrTYDabtanN3VbFz7Jb7QeF3EGlsaDtnXMPT2Ai1BTuFsIGfIV9dHbFzQnesXFsoX0OYxOooFGaxejheqP4PiUBST+g4x2K+/nHzs/LSjuVy1DHvVMdkzEbseBrckSB57JnH5Gd3/swmWCi5X3bJZVYHa8So3GvN9g1GXqBK/xB3IfxIy9UQ7q7vDyauzr9zvvzoxh/Zhe8kWxVVvbdaxvomDe6xWJWGZzE/CmXDtUcbVPvLDzufBRaQu1h1MHG1UPNqKMbH4n+heBbjUew4fsS4yjklaNWwFZ6TN7ZstBOLJjYK4dY3rbeTk6aRg7YFkgb8enVWzLXrmtbZ41bgLUFi5BQ2Gc0gtlRqeh8kJdhAw8Sno8Vxtm6jF0O7NMFSbLB9E2kEn7AaWkPg42sr4LH1Fz/Ra0GPBdzyCzghdQFmdkB6BEvxj/ZaXRezddans4PmUgx32uoE8frY6BYsZVs2bQafpLAaf2P7MOfw3yHMQrizdZt+swHKs6OL9uIDEhBsIU6ewzZ3juMHbYYeSY5Yrpp+0biaxN03qTvdGcNUqyPn4yr14gv/+nTj2Iq9tVvzLcZV+tan1eJwB3urr+XRwHKYwWm2LDu5j8qKnEzC8ueWy+233S53zbtL6mvr5YxpZ8i086fJpEMmSWdnp8URXy1XzRZvqw1l/ElyFb0oh6tvgnO4O1Fhn6/8LcZVxgtt8OFeUVkhW1u22viwpmGN1BbXSqeRuOjlq+EnbUHOBDtanMGPEO6MffR6YjEiH/d8P/K5urFpY05HKxHPXN8Rp5CByPeVrfQ8cVx892K5afZNctKUk+Qvv/KXsqtkl2xt3NpTlY0RzZusn16x4W4dLbhqg7pHTJr+39C0wdrRuMq1YAamVrAy0Ra4yrgENx7AhmJECHd0h9DI0nC3XDX6SXARvTx4mex/YpDVyTI/vkQI2xuaN9hxy7mafhntBS+N75ar5gdRSl9cpT/QWlrbuLZP/7pJ2Oo5mTb49Lw4h3GPH8wV6GSpuBttsViMsNIZ3TEiv03IXIDHjtYd3vHvfHWxGakKbU6EQ1qy5XCHPz49L6f5RnuZD32JLPMqMYAS4iq+gqnGVeZEN15CuQh9o8VmFyO0ORFcwRRsxzSPsTzxlRIrPFfUZRuN7gkNtwJ+5idZAJ7zOW5FC5NBpduGJYxiA6A5xi+2kjawa4XMzL80wrcvEhvODyvwlgwI3YHHneMbiPl+aDYGdXb7ipaK567Gajl1+0uCmHwqZSd8M4k7P2xgUTBz/iRxdwMrDe7Y9uHuEg18dXZQfk5OtFbhurg1J5rnaW8a3CF0CHd4Fuo7xz+Cn9Ph8WHmVNK19vbgbvrOm2h1+wHeKt8NBtTD0yIf3+l/uOr0evaWq+DOYNf8cJjhS1Wp0dcqzU2Czz//vMyZM0ceXPyglFeWy8yLZ8qlMy+V8ePHGxFVI6Pa1mpFcLnO+QhP+f/kHSMYFXV1943BzDvxdGOGLc1X1/8ELl8QdXGG83w2ECDFvh0Pxg8r0FjSl6uOo6E4E4sRcKSluGWv+d7D1e5x5dsKns/3/HhnxSnLKuSuu++SG2bfICecdIJc//Xrpba+1u78LC7J6eUVc15psREKLbcCr5VgUma+4tFmmNt9I+MmLxtXzXHGTmmJETstNkK8hicNbUbLz/ztyKGHmOM5fLX95hYzY8M7eXEzWNxmJ5NojMDPUGzuzM0jWlwlQcIX+Io6fjJW8f/OV2+i1T0XYUeLEXx1wNnQ+B7iGbi7hw5uTkvGb8d3J0bqm1fTxFWLuxG/TjOv+nCFqzzYcHOA74lRLDbb1po5MYYZx6lLw90+ZOnmmS9G9MRT0ynwUOMq9okzXmX47jxDm1ddguv80LgaixGMNYcptjR90RLuslwhQaLhCHBphbs7BMS0V12Q3or4BWyQJWJDExojmyYr50mTVsjcsaEJvNEBgKyJpmGXO2Laz92mrzj5/5AN/MRfzVeSU+pRRWBNxRAPPAeCOwPHtieAO5gMKx+mCuu55CXU3hju9gmj+QnZ4A4T3DShWET3KksrgzYIOpBca28P7qa9WiHoMeGHMOOTJiG+p+GqGzOaQK9L1kJ+5IvRrlqxSubcMkcWLVxkXxF++k8+LR8+98NSM6ZGhg/KifuVmZ+qst68dqKZGlfhIU8iNDFS7DLJEtiCmHWPzb3Fvbas1iaC4F5R6k/6iFMxvsdwJ7hSTzBGGFFUjjN2fMVy1RwL4QHfwT6JO2Kk3/vm9+xndf7qK39lvjKQEyOtKs/rN/NE99nXmmXUSOOD0UCrKx1s/r9J3mU+z1SSeBDDEwQn9Lh1V6fcYqRHxgwul48dl9u5Wtt0ssyaVGWTMK242Kw9sYCr/IYw68GdSdJT0sRmx1VNONN+RsbMVyE/Ylxl7NM3Ib67p5Ra/zJHcCNGfNfGlftUT5o50SbBnmJv6trLouPO8dFng/q5UQvNq4wpjmux2c2JIcy4aWQu0QRc8c3NIxoPiQEUzQ+O8WSUGKG9ZnRPgIPzarcNm9B5ik2eTKwJ8QxMySM0rmK211DVPpnj6nef3eA87XGre22ojmRzwJ3DY19f0R6x5p8bqyd2HFuxc2LHsRHzNf81qkYIm2glFkPnt5U6ejBTHnOn8VX7bIqrK42N2Dmx42lxjwlJxjBzfoRE8bTX2z18NwljDPdY/6dtb2zslZiPVD/1wlMy77Z5Mn/hfCs0euFFF9qPPY8ZM8Y8uci9ahteo6go94OrsbFbtNu/qN+NB4eZNlnHcHeP+UOYFIpnMdxj9XA8DVeT9eRLOFx19VXSUN5gb1CScWDuYxutLMifTai3E8r3562RXz64XhZceYJJtPZ8JcLFCD7etL2xS/7+Fy/JUUZ65N5lW2XVpkb57EfHy+Ortsv/Z+884PQqyv3/JNtbGukVUEAsoHRCU8GGSBGEAIKK/YrX6/9aQKUpiiB677VdBdsVFaWq9JKEpjSRTmhSQnpC2vaSzX++877z5uzZeWbOZl+STXJm3U9wzznPeeY3v3nmOXNmfudpI5g7a6b/KxZJrobarhyYxWzE+lWsXVxdQlzNaiO0Rsu2fzFOaP0m6304z2jZe80MxIbmh00aIwK9sfvEjg8k3uGPNib6XvWl6+V8CY2rMZ7F6hM7jk/a8oWkv/muw9Cokh/LERgCCDzzzDPy68t/LffMuUdGjRhlhUZdguXc076xNQTcz11IIZCUcGDhO7OSy9cu7/OpIy5p7VxnPyp+9nE7mtcwNfLz2xfJXU+vlCmj+WSXv5gXwOaa5TKyrkK+fswOssx8Fuqzv3hKTjloohy333g54w/Pm89CjZGR9Xnoz4mZI7CpEMh726ZCOr9PjsAAEUCmgTVYc2bPkd6qXjnxpBPluGOOKym5D9BcfvpmRMA9dTOT5SQcXJLFKy7fUowHnl9r1moNk8kmseJ1zLt3HyFH7TVWvvan58xHivWd3S+v6JAdJxZeP27XaNa8mpmvRau6ZJfJ9VJjvmBw33Nr5D27D0w+ZDNCl986R2CLRyBPtLb4JswrsDUgkBxoERq9+mrzsefitwjRwdrjsD3MdxP32Bqqus3VgbZlrcmdc++Us88+W5ziO69/Q+W5JWZ9YGPhVRI7qCaOq5bWteYD5ibJCnwa1ayRXW/WDW14rYiQ7joUdU1hNuwZ89WBPNHa5miYV3gzItAn0XK7KDR/3PHQeqKYDWzHzgnZd75lsRGzUw4brj6vJWblwj2rryE+lgOzLDZifSKLjaznDLbtButrXXWd3c317DMbhEZ5nZR8Rbi8e7ndVq8tDo3VNdlvYvUtR/sPNkZsTVxtrG+Uv97yV/nhBT+0SVZajFTr3109vWYX04aUiv/vdhr62shhPqahSpauKUjNkHRxnXtVWFU53P7/jeVAFp7Fzokd39RcjfE9y/HB8j2GSez4ljiuxsbnwcbVcmGWxc/YOZXsIrCNZJ662MnFTixtgSeLvjiHqW7v9n9sFHeDhBaJOht2225qBpwpdnaTlBZ3+hbvmdjjbFStN0986Vl0jhs/OAdbHqWCUn2dv0EbRYzSDQ9m+On89S3gs7s0ipj5Fu1Z3Hl1YAKqhhl2o7hzD/PrtVGM1c6Odo7DTG27cuKutA0YWR4WNwBoWj2c4xah+s5J4u7rBCW+mw85q3w3dwjhPlCuVq43zzVFrtLebNenzJs3T/7v8v+TR+55RKpqq+S4WWaR+weOlKmTp9rj+NfS3iIsiPfyOSPfY1wt9ZkA38ED5ZcsXPUtqI7hbjXeTH0p+OO7j+szKt8Lo06p7ZK4l/pwBsySNny49+MqjZuIRa6N59w8R779zW/b3YV8IJok2sVdV0/HM8fV4QaHSaOr5aVlHUUO9Bgs2HxjdjEXpR3g/4vmeFfPerPwvaYY77rloDeMkjP/+Jw89OJaude8Jhw/stp85LwwM7Z8bZfsNr3R2EHnsP/rx7QfyZg3YNyN7MXGxGZwDXI12XaD4KqL/cm26Fdf4ozBKcRDG1cHw1W4XhwjrDxAYDzT+p3rV9p4loxVqp5XMQfQ6pLkagwzpGI0X/l7bEx0uz2z5BG+hKyEhzYmFi9yflgFhI3APcrV4n0qnXgoQdGJFbLF27dan469uNUIlhptHp+uEDYQeHO7G2xwShUCCWJlCGbWVBodrVRnZ6usFSw1gnWIgLJVOF2oHH6wAJitlekEh+NOFA+ffAkQf8dGa1WrNHU3eQXtnICjJliK6KYTLKXebFnt01HR0TIYIBTIoOrT0cIPBOAsMdYVBpa0DfzHBtj5fMEGwm5WMNWQJW3DCQMiiunEU9PCapzT3GUES434HvZ87W/FF1uNUGxPYbu6irt5zYGfGu5OFI8ZmvQ5bLPFR3xBBNB1uCQm2EYgDj99XAUnAoGrqy/RSnLVt7OEa5xQLJj6+I6UBe0OB4JcTQhnYrem1vDejJqPP/a43PqXW+XOOXcKQp1HHHOEvOP975AddthBuru75aWWl2z/sFxtN1w1fcHHVcd3OKDhbrlq+hSCpfQvpADSPIsJluIHuHMPxHx9HHFc1cQIHe5up046RjTWNVqxQtpvQesCGVk5Urp7+ooAOr6zNd/Hd5tnmf7kBEtpJx9X4R+YaDHC8t2IIhJLfLiXuGr6lYujLp5xf14N3nrDrXLRty6SvffdWz5zxmdkbeVaWd5sFr4XC3ygLzo+gxu8qzd6V3vuOFpu+udKWduBcLIRPe4cLpONvMPMnUbLumFd0iVt8o9/dcoT81vlzA+NMf1lgbG6Xt44dYZ89l3T5X9vWyDMbn3jgztKc+9KGdZVJ8g+7PP6JlneafjU3dVvlyNxRhMsBQ8ES4kj/LcWI4ir9EsN91hs5ro13WtsXGRMsu2cKGBLDEJ4VxMshaP0GY2rDnfO0XZYJrkKT31xFT/Ag1hF/E+fgw1iA31L2/WNL+AO59EwS4+JYI2wLrjBDx/uNkaYOEO/buwmke47a4muFRyj/Xz9H3idjbUVRpTWiKOmbeAnYwzXhzBLCsX6xjP+Rn21GEGsIpaRb/CvFcj1FCeu69PRSo6JIdyxQf9DcsQXI9yY6BKqtBtIxIApdfZx1Z1fOa1xWiGTM08JBA4cHFtntoh71lraWSzzv2nm47deDSxjA4chzMS6iV5w+CN2JtVNsolW+j50Iq5FaXl83Xj/dlRmaIwfaGiQaPkyUUjZ0Nkg0xune+viFjmgf2E1Ozz1ZTChEWc0zvDWBV9H1462Hwzm1zuzYjoojTSjYYZ/K6upC1odkHhcnflUiscPSwBznsXdJ+9gjjVWNlpdockNk714YBedj6kNU2VKwxTvOZCKgafEiXStM+CO7hSBMoQ7eODvyJqRXj8IaiNqRuh+GL/gH1hoXIWD3Gf7xu390hmmLk5Qj7bT+E67TK2f6uU77c+1dLQQV+HFhPoJVm+HMu/peaU1WE0NTfZbhOhg7TZjN3vcCl9WmXU4VcWpyOI/KlfN8RjulqtGDwo/6F8+rjIYwHcw8xPebIwzx/m1unAKV7nX9Ibp/mCcxL22oBuVHkRpU9qXftdQZ9YxeZ40eYXKoOLlOwaLmI2vHV/QwPLYsK9iOxuDXKX9R1ePlsbqRv8Tr3k4cv2q2Hj23lw3Z+4cufSiS2WPvfeQC79zoVmYvp0N5sOM4GiyEOiZyejDVWzUDZMdJ9TK3U+2yiFvmyFt5jlqrBGm/eL7Tcwu3myH8c1Ga8wozA8fYTCfIVMbp5qqVsp7dx9jf11ZL9vJrU+ulKljq+V1ExrMOSZumvCbLnBvSv2UglCkp//DdX65j6/9qTvcoj9ouMdis9UUNHF5Yv1EmVQ/qT9XzT1IcIibWmzGdSd6rXE1ibvGdydkSX18HOJhn/Yn3lm9Jg/PSBxIUCY1TPJjRp83mFFfEi2fDRIt4nMQd3Mh+lZ2eUHKDzAlQSLmav3f8tac11TZ5I/Nxk/qgR5gKEZYAU+T2I2pNfzzxAgSLe6jjYkcQ++Rgi7c2BpdsgauerXHTF2y4I5/4+t1rsbGRHwF08n1k/1cLRLL7GmxUcEWLrK/ib/1CYJmJqt0jjnPV9x7Ud8uGne+PSd0H+tBwb5mJ+pr0b5Wl0z1LfoRrUvAV3RcSvUNYRbAg8wfG/ZfzUak7VzwL7239jSfa5NBYRbzgzbN2P6D8YMki/poGiul9ofTGt+L7e9shfge4iqvikiyWINlhUZnF4RGT5x1ohx1pPkW4aRx8mrPqyXzDp8+fS+GWVbcA1wttb/CMVvHxI+LG0k/S1wt4u/FDF+LsUTDlL9b3ENtE+gzWXyN1aVkIxSrknGmcIEtd8y9Q8475zz77cJPfPUT0thoBr9indJ1drj7uPqRQybL7MdXmdeFfK4krV82THYxWlm7z+CzTIVYyYOyi5197zNMVrWsl08cUnhojOIai+9Ku2SKq1lic2QMiI1Dmdrf+RHhexCvhA0V0yx9Mzb2Rvp/pvpmGVezxJniOb6+m6nPZImriTZRxzzGxFicicWIGO5l4CqY9N116M+dSniGhNs00Lf1v5cDM2ejHLa2lfZIYuYfeOJIlAv3eY/Pkx//9cdyzx332NdJLHLnY88TJhRmdJgh6DKvcbRPTcQ9HTpnlAszarSl8h2drHPOOccufD/nvHOktbrVJErtUlPtmUJKNJ1PsHTKmBo59ZCJ5lXLUrOOs387jyjqYbnXHhpmhPaD3tZulgbMk0nypqFDmNyTbRaBkJh0VlC2lBjRJ9FqrDXvdj3fOMxa6fy8HIFtDYGGEWa2qtf/mRhkGq65+hq57ubr+giNTpyov1bf1vDb0uvb1NQotU0bXrM5nax9993X6mWx9m5Fy4rCq8dBlMCkS2ar/1j2kLzU/LLs8pY80coMWn5ijkAZEOiTaP33Rf8tr9vxdTLruFllMJ2byBHYuhFY9PK/5K9/vEoWtyyWQz98gOy4S2EAczpY9hVhXb0ccdwR8pHjPiJTpxR2EeZl60CgvWW1XH3NH+Seh++SB46708xarZNvfvN8cUmW08kKLT3YlEjwYWnte5ub0o/8XjkCWzMCf/7zn+W5556TL3/5y6VqlhKtC75zgXzj69+Qq/98tYoBAaPSfNhU+xg0F1ZVVcmw3vA7SGxUVfi/6YQNjruv12vOWBuVug2OcU6oWBvGX63gY8wGflamv+6aMGgXbZv7hNYKWcwCj6xcmwX3nuH9d3km6zbcaOiE6oMflb0ZMBsk7twnhLvFy/gaKtZX5buPlkNF3EOvDbER+qYW12q4X//Xa+VT37xMXq3bQ4ZXTJHZt3xLvnbyPjLc3Pe662+wa7BOPfVU+6mc4WOGyyjzo/KMukTeG0a5moHvlquBPsGi0hjfbdspH76lfo6r2q4kFyNCuFcYsU36Q7BvGj9ifI/GiKx898SIF59/Wk46/Vx5YOVUqRl5jLzzb7+XUctmy8dO/pCcfd75JjZt6EcxvjvcY1wNYZoFd+JUprgaaF/b75ApCZRYfM8Sm6NczRCbY1zNyvfQ6ynGCGJVjKu9w3XtMjfmhcZEi/sgY0SWuBqNM1lxD4zv8Dg2JsZ4WsIswtWy4B4ZE9NcJX6dccYZduf41772NdtTKnuNjtCFF15oFYsv/vnF8q73v0va2vrKFLg+xc6I5hYjAdCzVk221nSssdINdfX+r91jq7m52W7fZddIv2IWdbasbZH25nbVD2vD+FFdW213uPkKW+GbO5qlrdFfF2uj1WxTrjbbqc3nTXyFHRbNbcZGr24DP1sqW6StyZzjyS/Z/cZ9Wta1qMnWmvY1dmChPr7CoBTFvXON3QbdUK+rTXe2mPqsaZbGhkbvglm2KTd3NsvIRrMbUCkx3NniHMN9betaWVdlZCz81bV1xVeNh7i2tr0gQ4HulK843Ft7W5XFwSJwFWx5veMrBFi4mub7kgUvyukXXC4rdvqUjB7LOiujbdR+kHzhv86WAyaukuNP+oi8//1HyOte9zrp6emR55c9L+tqTZ9g95unuC3zIxpGBHEfXqNzNQvulqvVhqsNfq6y6xCuhvi+tq3Q9ytr9Q/C037N65rVLeAx3Gl34tKaNWtswup7CFmTge/4UVtbq+LOrkP4HowRxkZFTUVJKJYYuN7sNPzKN/9b7us+SMbte6BZ2N9jZFwOkYV/r5Zp06ab4+ukrcusuSsW+N5T1dNvt6E7zu43cA9y1cSIEN9djFBxN3G1tdmsFWuNxFVic88a/65D+h3yDmb324jGMFfpU26XbZrU0dhsfG1vMVw140BbrZ+rxLrm9nDbrWlbYx8KNK463EN8JzYTB2rMbk9tjCBWwdX0blJ3Ply1cheGy2pcNbjXd9fbndC+wq5D+BqLEWjtaaLGxH4bV1v9mHJfeMiOZy02ZxkTiRHMnNJvfIVdh/TN0JjY1lwYc0NjgM0jDFe1Bz9wx98Y7rXdOlezjIkdLR3SssZwtarg8/vf/375v//7P/noRz9qHryHy1e+8hWpXL16tV1LQAD53+/9r3zna98Jzr6QRHGx9vTlnlRDMzgAXdpR5GkJp430/crvq8SM2XA6PVYATinWRmAnHx2M+oSeJNliznFtSt7aMINGyI9MmBncYza4V8hXtlX/tvK3avtazMxPyIZt/8BOjyyYYSO0I5B2Yfv2b6t+q7ZdDLMsfsRscPM03xGS7DELm9t3/4KMGTdJejtWWx9r60ZI767vk3tv+bK8sniFeXi5SLqKg22sz2TCPQtXIzwbSlwFMy1GdHR0mMS1XXbddVd1ptfpqwW5GokzmWOE2/1YZGOvaf/m8QfJ+Pd8StabYA7XKs0T/Ji3fkC+cOZp8vVvfMM8dG2IO3Y7e3GHlI/QWWJEzIbjaihGuLh6fuX5g4urmyBGwFUnz6BiFonNMczKESOwgbTK7yp/F+RqiO++OJOuczliBA+fPExdWnlpsP0Hy9WscTXEVasJacqZFWduNFc3VYzgIfcnw3/SZ/Jp9OjRNqdiU8wnP/lJqayrq5NDDjlEbrvtNjnlU6fIG17/BjFKeGpBoBGNCy1IkgFSwZHV+qwINtD08b36YQB+fOXj8rJZtHnEjCP8OlrGu1c7X5Wmqib1yQsNrJauloLej1KwgdaG9hSBnhPfGEPLw1fw9Yb5N1htqt23293rK1hwHzS/tOQUkVCOUR8tqCDOF8Kdp0Q6EZo/Wvn987+Xw6cdbrVWfNPhPCVix2mY+OwgvofumFdnx1yAD9QnpH0CpmDum+EBhxWdK+TWBbfKia87Ua0LM6IkyRpmDnet7TBsuWp+RlaFuQoelRVGG6bGCI2aZOYv114pv3umrZ9ETId5GvzCv58u+888qI/qNvXhHtqTF4MKGmi0y8ZyNYY7XL3+5etlRtMMecuYt6iabyG+4xtP1iQ32lMzvIKrIb6HcMfPO++8035M++KLL7YzUj7Nryx8j+FOMGeWIBYj0Hxzs+/417b2VTnrl3eba43uWFFbjsSqec1qOWDffeSzHzvBoLBhehtMuV6bfSchQJgxxNUY32O44/dDyx+ysejdU9+txtVQbKb9s3CV9kdbqGqYf7bZxmZwL2olpTmPr3956S+yy6hd5A2j3uD1FUVvNP/G1fhjcxauZsGdWEYZUeWfwWOM+NPzf5Jjdjgm+HaF2TO0wbQC7uhwaZgxmBOfYzEiydXkvYirL7e8LPcvv1+O3/F4tf3hITOR2ux7bEzknrQLsY6xNTSeaTGC9r9r8V320oMnHRzkKnhoD1vEiBjuMa7aMdFMUGgxAlyvevEq2XPsnrJD0w6F2U8zTsyfP1++8IUvyMEHH2xn1GyidcUVV8ixHzxWrvjjFXLLTbfI1PH6ot2VslLGmB+tmEl0MR+DEdNU6jmrZJWMNj9amdEyQ/654p9y/PbH6wOtrJGR5idU1kTOMdJ7MsL8hErM15Uvr5TdxuwmM5tmqmZimHVKp020qrX5WmM5ZsM+WZmfBvOjlSefelI+/MYPS6P50UoMkximtqOZn9CapBYxQpEBH7jHsnnL5IRdT1D9NKmJmNVCwXULMczQ1ibRqjU/WknWZfny5VZodIX5t2rRPFm9+EAZMWFH8yQrsmLxSzK18zE56+s/ldFmpitZYnhwrnnZJk3mZ2PbJQvur770qrxt7Ntkv8b9Nrpvgjs8dZ8P8hkaLO7MmN900012jZtWsvA9C+4xPmv94eY7HpA/PXarjNnjA+aB0byWa++Q7nl/li9f9BE5/ANH93E7xndOjmHWIR2W66F1OrFYNW71ODvYHj9Vj6sxP7JwtRy4L/7XYnn75LfL7nW7b1auMpYRI2p86q5Fz55+8mn52Js+pvrJ9bRfPSKxSom1XRbcY1x+sedF6XmhR47fWW//WBzCj5ivjEPEVB6EtRLjWcXSwozwsROO3WjMsuCehauxMfHF516UY7c/Vl5f9Xrr68qVK+3rw7e//e32gZEcyy60GDVqlFxz7TVy+PsPl6v/dLV84fNf8FaOJ8s1LWvse2JtQfxq8yqFKcrQGq01zYW1F941WubOvO9sX9v3EyFph/CD9TmhNVqsBQmtN1rTWnivrs2K8MTLe/7RTXpSiJ8tFeYTAcoYCRbcZ1TjqOgaLe2JltmZKO7mMzDMioTWaHU0d1hfWKPlK8w08F47tP4ihjtPXuBOfbWCD6zR0mY9uQe+hgprJ6wyvJkp9BWHO22nzSTG1gpht727XRY+v1D+fM2f5fbbb7c6WCeceIp8ftwoOffH18hjD3P/4fLm2gXm1fu/90uysEF9+OxOaI0WT86oxKuYGRvDanSuZsHdcrXKcFXJs5kVo21CfHfrXrQnPMdV+p32pBnDvbW11b5u51+3cy+NC589ivE9hjuzKvA9GCMM7qyNS87g3XHHHbJ66cuye++LsvDJVfJqd5VMkKXy7U/v2y/Jsu1vMGWNljajwVO3w13lanGNlsb3Uowwa6c03NeuXitt7fp6U+uric3EB23G2inDNzWGucqaptAarVhsZn1Wc1Oz+dSIv0cw00AMGN2ox+YYVx3uY5r0iYPV7avtLIVVhvcUu2bJrH1ixlGbGYersbVC4M6YGVqjRXyOxYjkesJ+Y6ZZR9ba0v+Tdsnz4CFrlrXYnGVMBPeOCn32jZlE+mZoTFy7xqzBZdlP/49HlNx1XNXeFGTFvaZe52qWMRFMW1pMXC1S8fLLL7fLq6699lqbW1FKK1pHjhwpV99ytVVsHgrFvS5gnUtsB9Lm9tct1l21apWd5gRLdh7kZeMRcO/52bnBoMt07KYufOz5V5f/Sh646wFhYEFolF2EkyYVZqzefsjb5YfX/pe8vPZl+Z/TLjVJe72sMwuh87YPtxR9ZHhF4WmXAOVU0zd1+27M/ZDsOO+88+SAAw+Ur33lS/LoMw/K7fPmymfeebZMnP66jTG5ya45YOoB8sqSVzbZ/QZzI17FNfYOTntsMPfPei2zJjNGzJC6qjob+4eKlIfP/+2btpf3jn6vvPrqqzJixIjgTsms9X+tznvP9u+RVStXvVbmy2a3s7NTDm06VEZ2jRTWljJOffrTn5bPfOYzfcaBPluHKqvNtnrzyZjNXdwuj/nPzZfLrrjMLir+0Ic+JG9+85s3t2ve+zM1eNXvr5J7/3mvNDU1yWc/+9mS6vdQcji5LutnP/uZIJx59NFHDyUXS7401TfJ0089LZf/6XIbEPBzU7X/M888I1dddZWdweJt7sknndxHyd05WVXXJHu97xCZ3LVQ7r/vMbn+1uttRzv55JNlxx13HJK4uoHg17/+tf14NdPbm7rwjdN1Pevk0ksulX+98C850CQtRxxxxKZ2I/P9HGYovpNkoZN1llnwzqz8gfu+xwywdXLXfQ/J8UM40WJAuO6318mCBQvk7u3ulo9//OPqbGFmYF6jE5ctWyY3/eom823HNjnokIM2C0ezVo1v+n10x4/KuWeeK//2uX+TqVOHrlbe/bPvNzI0s+W2kbfZ76u+4Q1mPfYQLf+88Z/yyKOPWF9ZTK7NbG9u9x966CGZc90caelokRUrV8ill14q1dX9t9P3SbQIfj6Jgk1dmdrqWtmuZzu5/urrbRBmi7ydmhuCpbeiV9i+/egjj8ruu+8u+++//5BMsoCOBaQQ9oXnXrDvjtl+OhTLsOFGv8osPl+1epVNWhYuXCg33njja5JoJZ9AkwkWr0+YwdrrXXvJnjvuqcLU3dEt683bmOefe16+9KUvyV133WXXcSXF6oYKxj3Deqx+zf133y+/+93v5PTTT98srvGK5Y6/3yFrm9fK17/+dfn2t78te++995DsN3CRRb18u5Dd2SRZ7CRyW8YRp/3xD34ib3rz0FZbX7FihV1M/bVzvibfPv/bct9998mhhx66Wdo/dlNmXPY5YB+btPz0pz+1m7WG6kwRm8JmXz9b/n7v3+VTn/5UrGqb9fg9f79Hpu441SauQznJQuzzH4/8wyaDjz76aHAJwWYF1NyceMCntn75y19aV3xJFn8PK89twlrweshpZkwdPlXGVI2R7z/+fbuIEI2SY445ZhN6E74Vr7OYJqTzswh+ZOVIeW7Sc3aqkJmij33sY69JUrAxAOAn/uLrkROOlJZlLXLvfffKaaedZhfpDZXCtDtb+nn1VtVTJXvX7m127+0vPN2eddZZNukpd6mrrTP6Rz3y7NPPyhVXXWE/9kwiSgfnFSEzfou7FgtrCpLrXvARXymTzQ87rPb++N72/z/wwAN2YBgqhdlgZjNo/wNHHCiTKifJuLeOsxzdnGXB/AUyddpUOwPMawxmWty3HzenX+l7s+bxr7f8VX7w7R/YgEqyldTlIRk4/fOny0P/fGgoud3Pl8mTJ8tnP/NZeWnBS/Lqildl5513HrL+IuvBePDv//7vsv322w/ZJAsAmdHg9eFQGp+0hmXJA9z9wx/+YBdsb47Z7CykY8fes88+a5UQ3Ou4LNdtjnMY85cuXSosM7ngggtUFyqTr5P4b/fjuyJ5XFPLjdnAru+c5cuWyx8u/4OdvWI6dsK4CbLO/Hz+85+Xl19+WXjVsftbN+xAid0ndlzzI1lvzcYTTzwhN990s1TXVNvdla/f5fVGpPJ4mTRxks1o2Z7Oa640XiHMnD/lxp3XX4899pj9oO3kUZPltudus0rG4Exie/jhh9uF2lnwyHLOxuJOMkAA4MmbV0sTRk6QxXWL7XooVHY5xk6OqurClvHYfbTjycXGTz/xtFxx5RXyz7v/aQUJSctiQfkAAMfgSURBVLA+8IEPlNZgYYOO3lvZ22cjw+LFi+VPf/qTHQxQyd51l12lc1yn/M///I/stdde8q53vctKnLin8I31NQsX3TnaPR555BGZfftsy9Xa9bVSfUC17LD/DtY3K76ZEKmI+TlQ3DW+2x22xh8SVgr/WumMoi/Jf8sdZzJhavQaS68Lb5ojF51/kRw88+BSkpX0ifVlSFD0dPeoH8GO4Ro7Pmjci/Uhjv7sf39mZ16mTZvWh6MxHmU9PlBfffGuw+zghA+oan/ve9+TBQsXyJQpU/qcWm7MtBEydB/eADEu7fT6neTue+6WcePG2cQwzdmh4CsPXMTPGTNm2NnMW265xSZaA/W13HXx9e8uI5uCn8y4/+AHP5B7771X3vPe9/RropgvsePl4CqxjM0xb3zjG/vEsLSzla+0vGKf2JkCXda+zP7LDibfJzIIzAtaF9hj7PhKg8S16FJgjx1M2mc2FrQssEq57DrEBk8Eo0eNls/+22ft/dF6WTd8naxYu8K+4mpe2yy77LyLEUHolIVrF9rdCAtbFlp9i/qq+n46G9hgRxF6HhSfH5yzsHWhrK0yu72MLlT6HABE7wVMkoW/v/5Nr5cvvvGL1tfF7Yulu6VbfnDRD+Rd732XMLAxWK9ct1JWt622dhe3LiYz8D6ZYWN5+3J7CzRqfL7yt0Wti4K4o9XDjhB22zmhNnZjHPruQ+Wwdx1m7c9vmy97rd5L1ry6Rq677jqprqwWXo282PyirQuKz+yysG1i7pkunEPbhXDnGFoslsSGLz4bi9sW292i7GzhPvw0VjTKh0/9sN2MwW6y1etWy9033m13SY0dO9buhOLV18LmhVGu0ka8JrW4m2IF+MwuEDuYG5+eePwJuf0vt9sZLHb6vO+o98mhRxxq11Ux+/dSy0ulJGRh20I76wWWtuOa60ePHS2fO/1zBcx6mi2Pv/yfX5a1LWttovXCCy9Iw+QGixNbnOkztC27sHx9hp1c8NVioeBuuWrO83IVbScjmgju1NXZ4L/fuPsbZbfdd7O+zm+Zb9sciQYSWz6FsrZ3rf3oMTN29Nml7Uu1Mcfa4Dh9H40ajav4qsUIjPPJijft9ia5/LLL5cYbbpTurm6Zuv1Umd863yb9xBB4jJZe0/Amu54rWfADvvMqzPE97TR1L+FuFPnTXAzFCJKs+oZ6mWOSrO+e913ZY5895BNf/YSsrFgpS5s34ENbjqwfKet71hsR2x5pX99uv3uZ3NZuY4ThIYul11av9cYZdr/RJxxXfX0mFJupKzGXGMG/ydiMj7VVtTJszTC7Lus973mPXQy97NVl0lnXKd1G5T758EHbgSm7DlWuGn1C22s9XAU7YoTlu4I7/YL2S8dm7I0bMU6eePgJO7jyWoZYz9rhBW0LSr5yDwSN0Z4iXvgG6xhXbYwwuC9pX6LuSk7GZriWrC//jYbT5z73Oels67Qz2WNGj7H9aXnr8hIHsEG/BGfu58WsyFXiN7sOfbijXwduoRgB7sQRdsgm7wNe2w3fzibZBx50oH3w3nOPPY3ITossXbu09BCJr3CooaqhFJvTY59vTEz3TWIE8dLFtDSf8Y24Sp8k7iQfrHjI3m233eSuO++SW2+91T54z9h+hizrWiatnX2/8kH/BlONq+BOnhHDnfFG4ypjIjvCfWMifWBy02R56omn5P1Hvl+Wdy+3X0Xx7RyunFw/uYQDHZSKa1uIAYaOPLV+qirvwGwUA9PEuolqwEYpe1L9JDtz4R6oIYN7PfPUiqfkqTVPyWc+9Rn545/+KGO2GyMfPOaDlrwzGmcUOqiZTcDPkLwDA9uU+r5PQkmnaHC2XIfkHfBpWsO0voHeDNoumF773LWyx4Q95PTPnS7X33y9XdTLKwZwQgaDoAVuiJpqIq+I1FH/kLwDvoZwr6+otwlKsj3toGYClWv4Sx+5VL6yx1dkpx12kvHjx9tNBsx0TaucZs9prmq2yWkIM9ouhDtJOokHvqrF5F8Eg/QWYicZsrR1qfzy+V/KmUecKX+97q+2s33xi1+0SfW0ikJb2O9lReQd4Nb0pukl7aEnnnpCrrr6Kplz+xwZPWK0nDDrBDniqCNk12m7Wpvw1r5ML75Qd50rjXuSq8+vfd4uhNxjjz3s5yv+8Y9/2F10JG091cae2cQLF8bXjreDbWICqQRPU2WT7cyD4arDPW2DBNNx9a8L/ypvHvNmmT5iuuUomwxGDB8hDY0F7TUSLc5N8z3ZjvYzMIavIXkHuIoNTWaAB6nRO4+2Gwwe/MeD8slPfdJu9WaXGf4ygMEF+kxjbaM3Ydf4XvI1ibvy6SMGgn4xwlwHr265/Rb5yQU/sUnWxRdcLGMax9i+bKTb+hQGnuHjh8th7z5M6obVyYyGQnzqUwwPGbxC8g6cD2aavEMsNtuHKxNnfLiD6ZKVS+TI9x9plws8/PDD9vNQU7abYuNoslDHKQ1TVHkHy9XKMFeJEcghhOQdSCh8fId/rNdD3oXNMIg+Thw3sYB9opD4OI5ocSbGVQZg+meI79XDCgmnT96BODB619Fy35r75Av/7wvyxje8UeqHG7Usk6QnCziQRDHmacWNmbWVRtOv//OpIETKQ3AsNtN3fGLCYPXF//ii3HT9TbLnnnvKu9/9bpssu/HU+QWHGA9D8g6+MTFZL8Y58gBNXJV4yL3Bvd+YSP+bXCmf+vin7GakY489VnZ9w642hm5X2Vd8HJ7BVU3eIQvuNjYHuMqY2NDVoOKOnuAR7zNjiPGR+D66wi83UpnUw8JhO4CZRvEWQwDOsecpn7bhGB+VDn54umjDKsN71CRo7M4u88RtXhOdcsopfVxxdp0f2n1ixzEaO4fgxaASqguvPZh1mfG6GfbpxhU7yJi6ETjdfbQFnRYz02m1+4BHFtzprCFfsWM/C2MGi+nTp5d8dUS194jUN4ZZ7HgW3Ak0HV1G4M8ErPTarGT7wx+tvnRg9MAQeHz2mWdLuwix+eGTPyxHH3m0NE1ssrOWrvj4CB4hvq9oWyHPrX1O/uO0/+jXZfpxVeF7JsyKfgyG7+t7jaxCUUSQqe5SvYv9nQHFfhtO6//0mYgfSa5qDxb8nafTvffZ2/6m/XBfjHDxyBcjOBbjewxX7fjcuXPlO9/8jhyw/wHy8TM+XtKV8+HCDNANzTfIOXudY6vhOyfmR7JPaANxLDbHcGeN1rFfPFZebX9VdqvbrXQbkrBkifkaO56lf8dsDK8aLg37Ncgx7zlGtjM/Plyr1hf65WC4an3NEO/oF9p9SKD++OQf5cKZF5ZETX2Y2hneLP1qMDHCjavafQyUO39oZ9l/5P4WU/sINsD2zzImxmIEygbuHG1MbB7fLG8/7e2yU/VO1lc3ng6Uq5lxVzDLMia27tJqHz6sCLci2tAno3LvNLXOPpB3npoN/h67T+hbS85uzEbseBY/sthg0NAGlOQ9sKU9rfqmvpP4lQv3kJ9Z8MhyThbMspwT+oZdFj+o61OPPyWXXn+pzJ0z1344etaJs/rINPDqwU6xK3sCsuDOfbR2HWpcje3cytIusXOyYAYuIcySrxJisWgwccZXF5IsdhXa3YXnniMtNUY82YjWarPe3J/XBeXwIxYjQnEiC+4PvPiAVYbf7S0bEq2031nbtxz1Ddm4+fmb5ZBJh1h1eF+J+ZklRpTDBvchgWo337/k7cBQ9nXBmgVy7QvXyv77FBKtjfG1HJgluarFgQcXP2hn9nZ6QyHR2ty+hrh6ywu3SOP2jTK5bsPbwfT5Q2bXYTBS5QdzBAaAAFvur7zqSvsqd9yocXLCCSfIkUcVdhG+FiWWaL0W98xtlh8BdLJIsnitil4W6/eWtyyXuprw7tzYQ0H5Pd04izyda1/j2DiLr91VvFoMzQC9dnceuOUtpf/DU+117sBr/dpeoX2Z4LW968ZZh6uxGJAnWhuHbX7VEESABAuh0Tmz5wifVTj6hKPlo8d9tLSLcAi6nLu0mRFwr05IspBuSEs4bCmD6GaGMb99jkCOQACBPNHK6bFFIsBrMHSwKAiNsjuVwRKdGF4RHvGBI6RiQoVMGB74WNYWWfPc6XIhYHcXGr7cdcddJTFSZrKSOlnlulduJ0cgR2DbRaBPosX0V2gKzO22Cp1jt2sO82ybSGAcu09s3ROmYjZix8tlI+ar8yO0PopzQutnuDZWn9hx6pvcLeejfBYbsXNix7PiHltPxOucxx9/XO663mwDvu1WKzR68onmUzlHHyVjxxU+NI2cgfYBZedHaMaCY7H6xNo/a31jU88xP2LH8SPmaxYbsXOycjWEu+srsTgzWMxQfL/2+mvlV9/7lczcb6Z9XYieWrLE6hvruwNp/xAmMT+y4B5r/4H4GhoyY77Gjm8qrmbxw45nvm2ARQBs+xfjhIZJ1vu81nwfau0fGhNj64mHElcZq2L+VqJn4nS0WBzsiOXT+4BwaNywdZP352kCWt0RFhibLcPsStQ0Q7DBfZB3SOvb8G4Wn9jKyi+7OtKFirmFzD4dLY47rRa2y/r0nDgHP9DZQJsofY7T0eI+SEj4OhvrHdDZ4CvhPl+dnhP34d04+GiYucTCp+dF+1jczf00/TI0Q8CKdRj9bJi6UtBaoj7YwWaycH+rGWK0msBM08iJ4c492L7v0yVxARQbbeva7I6/NO7Uzx4v6kI5UU1e8fBpJsozTzwjf7zyj1aIE2Xxdx/zbrvIffvp29t6cX90ayzuZmu/bwArcdUshue/Q3x3u6TSbQeOru1DXMUPig+TEu5G3gF7mo4WmCC/4OVqUUcrhLvlqulP+IuUBLzv0/4GJexzH/z0FYcZfV/TUcL/GFcdh3y408ZoBmEH7SgWoTthU+cT1xEjkDPx8Z3zXP/24Q6X6s0HwG+95Vb53vnfswvfP//1z0tHVUefhe0uziAD0FjdX2bCcrUzwdWizloSO4cZ8hs+PR+n5+S4yk4wLUZosdnpaIFrdUW1N0ZYrhrpFvq3xlX8xg8w9WkTgYe93sQJYrcWI2J8d1p7WmzGV6Q3aGO4YGUYEsXpaHEfZD58sTnG1STumkSQs2E3KZi6++JqZ0+njWVoIfraFxsrO0xsNrHO9huf9pjpe9SFc32YONzBJBQjrP6c2XmOvEO/uGruzRiBDV//d7EZG2ig+WKzHRPNGOO4GooR8MfKOKTq67iKDbe2yRdX4RmlpafFaqb5CjbANKSjhb8h3Okz7GoOxmbjiy9XwSf6iuOzj6vO70pHDjqx1Xwys1HoU6QHYi4AEM5BDNJEWm9A4DjXajYAGjLwW9FrnhZSopauIWggfEvrp7ggyt+tnaJOVTq4uXvghzZ4ORu+cyC3q4u9h+epxg0U1Nfna7KuYFaxvv/TkcOd+/kwc3hQH6f74gvEtl0MXl4bxUSLwTGJi4aZKgJZxCSKO23jaRfXmd313rYx22NdB7VtbzoBQqMk7w899pBcc+U18sBdD8iw6mFywolGB8u8Ipw6Y6q9X3O7EVs1fCrhXvTDl2g53OFGkO9FriJZ4sXdHNfav8TVIk81rjruaLjDM+4BbipXi/cI8d3WNcTVYt/19TnqYjFDa8z0fQ0z7uHal7bTuKrhTj+xmlDFWGP7oOnD/bhabFs1zsBVD+70M/TD/nrTX+WC8y6wmk1nnXOWNDQ1SHun+axSYjIe3INxBK4SX8yP+zcdzxxmzhffwEOd3XFfopWMzT6OuBiBD67P+HB3/UqLq2Ac8sPikYi7WqJlz1FigMPUjRFabHZ8d3bSiVaftvXE5iRXNcySuPsGcmfD6kd6xkRXF8f50DmOx75xNTlOqONZhO8lrhb7iw9Xh4PW/kmueuNMYuyOxQgkHDTcXZ9y+YbGVdqEB2btXpm4WsRDw93yLMJVLe7a+G5+kjFP87UyKcTmXi2NrvGLbtmKm8HcilF69K9chsfNxtWN82ah/JEnZ4Q1NS0uhDsRTNMEz2xA4B7mPJ7gfGXEuhF25s0nNOfOB0BEBLUnGsgGkBPq9XU+fOcOAU/VVxO4aYi0kGh64AD7YH2NryHceTrgCT+EO7MDk+rMt+4Mbr7CkxBPiEHMIrgzU0KWP6FOxww8uJdPWA+/eAppqmkq+fH8s8/bRe7uW4SfOPUTsve79padpu9U0q6x+iXJiZgi7iGRQDfrqgn0Op6FcAdLnrxDbUefmVA7QaoqUmqXxUbgFRZPmTHcR9XoXHW4h2zQp6jrdjV9hf8cF1xwnlgf3p1J++KLVuhXCAlqxT1hargTfwj62CDJ9pUsfNdwv3PunfLz7/5cDpx5oPzn2f8p00YVBYk9E3nEGdrWCkl6Ck/b9KtQvyOYI1iqSUTYWVvzG+JqltjMfUK4j60Za7/6EeIqsRkb2qsQy1XzhB/imcXd9H+nz5eGLUtshquI/GrCuLQLPoZisxuPNK463EN8d7OImh+METauGjFSrX2ZhSKmxcZEbGg7LRmjmIkM2QB32labkaZNRlSPUPu/jXem71IPLTa7MTGEGYkTddZET7kPXJ3coMshuBwkmosYUWNtmUkW3C1XzfiucTXLmAimxHeNI9S3zxotX9aX7CROGd4KBSKs5in2SSX1Wip9mntaQVVVs+HLyJPnOhvV4k+0svoR8tVmspG6uFmC0KDjniS14MXx0PoMd4/B4h7zNStm+KHhngWz2H2qaqsE0UInNHrb7bfZNVjHHX+cfUWITMOqXvN62egXue80pvF3foS0iXxT2334bgKG41mI71m5aiQWB9VnNhVX1QypGCB5WtWK4xi+amtOYrg7PGnDGvMz2DiTxN3tLtx/3/3lq2d/VXrq+yqOa7FKq2+sLm5QydJ2Ma6G2qUcuDtfbf82iujlxD0du8sVVwfD1ayxKrRGCxvljKsILA8G9xCu5eRqDPeYH7ExMRZTk1xF/HQwmNGGg4nNsfbHt3zXYYgx+bHNgsALT70gs386W+577j6prTdCo7NmyZFHHtlHpoFv9WnJz2ZxOr/pkEfAiZEi4YAYaU1DjSxoXiDSNORdzx3MEcgR2IIRyBOtLbjxtjbX0cG65upr5LpbrpMVvSvktI+cZhOsCRNyiYatra03VX34aDrFiZHuv//+BTFS880/XsXEdrduKj/z++QI5AhsvQjkidbW27ZDumbJAQ4dLNZg8RHR0U2j5X3Hvk9W77paPvnuTw7pOuTODW0E4Fjt8Fq5Y+4dJZ0sRElJsii5GOnQbr/cuxyBrQWBPNHaWlpyC6oHAx0bFZ552giNmk/llIRGzSvCY446xgqN/uDRH2xBNcpdHYoIsK7vhttukIu+dZGVcCDJysVIh2JL5T7lCGzdCAwo0XJPgNvKk2A56pkFs9h9stjYkmj69BNPy/XXXG9lGvie3IknntjnFeErra/Iuq6+W/oHWr9yYBZrl4H69FqeXw5fh4oNh9Ng/Zl942z5r2//lxx8wMFy7nkbZrJey3bYGNvl5OpgMSvXTF85/AhhWQ77WWzEzokdHwgfymlrIPcdyLnl8LEcfC9XjBhI3QdzbiWDGltl2SG0rGOZ3TLLFmDfqn92XyxoXWCPacKZiIixo4BtwtrOAWxwnFkNn1jZkvYlVlxtaftSK56WLrwSwEZrT2tBTDStxYVgqTmGOKP9UnjquA0m5pxFbYusIB7bWTXBUkQTtcI2WufnkrYl0rGur7Ca00dZ3LbYmgiJEXKcuvp0dvjbgrYw7k6w1Ktdgo6WkTtgWzbt7TSKkvWywpmIxBoxQnSBNMxiuMMdfKFgA3FIdgby30899pTc9pfb5Jbbb5GmhiZ519Hvkncf8W7ZYYcdpLu7W15uednyEEX3NZ1r7L9OsDTpKxyFG5zr46rF3XB6Ufsie5kvOGADrlJXtl5rfF/YutBueWZnS5qrSAzgRxau0raqKF5RnBcfNF0hcF/TrXC1KFiaxD3NWcdVeKpxlT5JfbTicGcLOv3L5yt/W9i2MBgjEAmkXX241zfUW9FU2u+l5pdkxPAR0tPTd2cgXKVv09/SfGdNFjZm3zBbLvzWhfK2vd8mp331NFk5fKV0N28QvsQG4o30/2CMaF1kpTc0EUj6EzZeaXnF22/AjDhDnFpbvdbbv9Fzok1CXCUOabHZ6WhxH2KvLzYjT7G0Y6m82vGqGle5v+W7wT4kWApuZm95MEaE+G7FpLtWqbjTr5BMIW5Sp37iuqbtkNVY0blChq3vr29nY63BnXGEfuvjKpixtX9x+2L1FbKLEfAD6Zx+sdn4AYdpf2KVr32tYKmJh/Qtn6Cpa3Nwx1ZIsNTVIxQjiOE+riItA5b0G1//d5g5riLNsDFjosMd/sCTUIzAvk95n1hFbAZ3eE+M9xViIlxFmiEdm+nfcAjuhHCn/9K2wdgcGBORlwJTcJvQNqEfV53fleg/OCchH0Bp+jYAg+MT6yaqeh8AR2cP6ShBOmz4viQPQOj8oE2BJkhvtVFH9BSEzNCt0DSwICVblLmPVmgkCKXpnzhVek3fBqxGVBX8xBdNJI6BGj80eQdwp96avhV2u9aHcYfYDDwh3NHy4TgaOL5ECo0cFOxDmMVwp1PAATRSCHIkMo8/+bhcdfVVcsfsO2Rk00g57oTj5IQPniCvm/o62zSoEFulD7N0xqo+m3oQLEJ14Truo3HVitCZH9pOewrjerDVNIHoF3RStMd8+ja0J22P8nOIq/QZ2lbTt0G7jN9QffEjxNW2qjbro9Z2lqto6BiealylX8b0nMCdgVzTjAFPEgdw1+Qd8IX7+HAnMUfbDo0ztHoaa4zKdXX/T3rxkNaP7+Z5gn5AIv/DC35ok6zvf/v7MnLESCt8mN5j3VJplLaNnViMwB+frhBcJaFwXNVkAIiHxCnseGMZQsPmnBBXY7HZiSZquFuuVo+xX1wIcZW+CO7g6CvwtLmyOYiZ5bvRUSSW+EprlYnNZoAKcZWYDMfo375YRduDf0zPiRikcdUKPJufkH5ZiKs2dpnkyLW/1r4kAmAS6t/gznGSTF8BSxKX2Lg6unq0ylWwdLhqkyCMVY2VjaoGVmxMxHf6AfzR9NrguosRvjGRv4EldtDR0vS4bB5huKppYOFDDHdshLgaGxPhIF/rAFuNqzZmJgU/SXzsp3HMv1rhmJXON4HQVzjGIBe0YYIb52liowBEB9EA5L7OD+0+dCCOZamLdg7BjUAcsuE+V6H5yqCEDeqr7XCyx8yTuHYfKwBXtBHC3QnFaW3nfNGCKOTnSTGKmXk6Vn01XxYYUzXGtt/T856Wq6++2gqNNjY2yqknnypHHXmUVE+sllrz4wp1Sxb3iaeYH7Y+CldJOhxmIS4TcKJcNfXVkgbLVRNIB8NV2t/O8Ib6XbH9tXNIaGN8p02cvz5M7OxjrM8YP6hrlKsGM2ZwtRgRwh0f6Xs83WtcBTMf3+fMniMXfPMCOeSAQ+RjX/2YjB5REF/2+evi1GBwt1w1PNRimb13pO3o01m4GorNpRgRwD0TV/HV2NC0iSxXTdIQ65vYSPdrxwUbm7vjcZXrtfa3X4yIcJWNECGuOtxDdcFGKK7CU9ofXDQ7Nr4zlsT6dwAzbJAYRm0E/HBxNRirIlzNMia6MTMYq4o80x6CnY9RXw1mmsxPOXDPMibGxlWbaCUDoZ1C93zOwJ3jXuMEz4nYcBnva24DteVAXTaZH0U8QmKE1s/Ad7g3Ge5ZMfO8ik0mTfc+cq/ce8O94oRGZ504ywqNOpkGpsmHVZmBtPjtwvRgHONhprYr1iWGexYe2idq5UsIZfG1HH0ma9tl6N/qU5Y5EKtviauDwMy1iW8moxSLPJhZMVKzFouF72efe7Z9lcMMqzbrHatLJp6Vse0GxVXH90HgXqpvuWwoRPItBxhoDBgyNhLxXes3mXkWiKuZbYT6dzm4Wg4bCa5qkw+xsXtL4mq/RCsUYPNjOQIxBNDBuuLKK+TGW2+UcaPGlRa5o+SelxyB1xIBxEjZVeh2F7KzdWnzUhlRN+K1vG1uO0cgRyBHIIrAgHYdRq3lJ2yTCMybN8/qYM2dM1eq6qrkgyd8UE497lT7qZy85Ai8Vgi4p2FeTZNkIUZ6zjnn2M81UXIx0tcK+dxujkCOwEAQyBOtgaCVn2sHL/cqhhms5MeeTz75ZDn08EOlcVKjjB02NkcrR+A1QwAeNtQ1yF133GWV3vmsTq6T9ZrBnRvOEcgRGAQCfRItVvtrO+PcE2LsnNhx7MTO4XhMryOLjVBdsvoRs0HAD53j/IydE3r6zmoj6mtxV6nGlximXFdbWyuPzntUbrr2Jrl99u3SUN8gJ590sl3kPm7COGuaLbNSmFTwlth9ytn+IR5lxWswbVcunmXBLGt9NrZdBlKXGGahmOWuDdlgB+UVN14hl150qfCBaKuTZTTZkqUcmGWxUa5YFeNqDNNMviL1EihZbMR4Vg4bbpflpuBqDI/QeiEXq7K0Tew+m8JGubhajrrE6hvLa8rBs3LYiOUA1KMS3Q12AHFD9EAqzA8r/b26QmYRm9WdqmyyW8nTBMQGmhJs32Qru88GDY0NtqvWVBb0lZKFXSb4hLYFW6fZjZUuVAwbrPavr+qvo4UfTiOHraGa7ghaTawd9OkX4afTSEF/ytfZ8LW9u93ey+er09HienDBLy9mXattYok9TUfL6X1p+mVOV4jtqD69FzBkC7Gzk/66Or7hJ8cZxJwN/l5bVdghOO/JefJ/l/+f/O3Ov9nXM4d/8HA5+qijZfrU6XabNO2GRg42fDosbqDmODu+KGlfqR/H2b6NPU1HK8RVp6PFOauL2KY5ZPlu2p/7szvFi7vZyYcNtjv7+F7iquFpjKuc69Nqcf0O/TK2XqtcNX44vHzty7Z9fGVbtM+G5arpU7ZvefoVmNHXsMGvrzhfwYJfTSPH4m747tPIcTZ6e/24V1dWWw5h28aSGsOsdRvEa9kZCY433HKDfPe878oBMw+QL539JVlfV4hNrrgYEcIdLBxXQ7g7naooV+ndqXjm6gvfsePjGbvJHFc1rT24ii1fbHb+Wa52Gq6aPpSOM07XCJ5oXAU7YgAxxKej1YerZku7N74XY3MI91hsjnK1qKNFfddW+WOzHYtM38eWj6tORysL390O2XR9uQe7tO04YdrH175uTKRv8SYgNCYSh3w6Wi5WwddYjIA/xPZ+XDX9lbYlrmrt79p3XW+hv/m46sbEWIwAdyefk4wlSa6ic+WLEVyLPBNjc4ir+ABXfTpari6dPZ1R3NkxrMVm35iYrA/3hgOcx8Yb+rKvVFrxOdMwVJhgz5bX2u5a+7d0IYhwPg2uJVotPcaeaShnt1+SZOhIIEWLxer2pHZJkIDhMITg1wKeKi6RsokJPyYoJwvHuYe9TzGR9NnANvUmKGukcjZ8iRaNjI/4yyCWFlazndlIJjjMfIkW9+e4fSXXXd8Pd0dM/EA40SecafEwuOOLD3d736IGGsf5RS8ljZk7ZhMc81NbU0iwHnz4QfnL1X+RB+58QIbVDJPjTzxe3v3+d8vUGVOt0Oiy1mX2/CTumlidazvOh2tp3Kkf17KFXEu0LGZdLSWuaoOXazvfU5y1AVcNzxu6G7y4wy04YnH3iOIROAkEdDSNq9yb+hBE6RfY9OJufAlxFRsaV7PwHa4SJHkwcHxNB0D6o8PMFywcV+n7tj6eGEFbOK5qDwXEGdrfh3vD8AbblzhuP/rcY8Rni4KlYNnY0ChXXH+F/azO3vvuLV/6xpdkWP0wWdlWEMl1hXPxw/npixFgGosRcMRKe5iJIC9XzXFwc3xPxwmHGdf6+O4GfOeHL9GysbnHxGbzL7HZx3faohSbPYkWXI3FVbBzNrREKxkjtOQ0xnfq6u7js4GvcNXGcNP/0kLQYARHQrHZ4W7ld8xAGosRGt9dLPRx1SVatL8bE30PsC6etVQV4o13TDT1xAYDte9h3D7EmnO0cdXFACvL4eGqS17A1df/8QnMwJQhWeOqbZeir6EYwf003JNc9SVadlw1MRUctLjKvV2c0bhKnHF9U8Od/u3yHTVGFOvr4yrxhWQOTPh1OmNpbCqTYm2QkoojEqYVBorpDdPVhaYkSjy9IQKm2jBBh/v6RCC5BlE21GvxQ/OFxAGBME2rgwaiw06un6z6wQFmALTt3051dkrDFNXGmNoxVngRcTafQBt+EkynNU5TbVjdIJNoaQJv7sJpDdNU3Jl1IfiEBO0QVpvaMFUV+WurbpMRXSNKAn7PP/e8XHXlVVYHi2/EfeLUT8jbDnub7LHDHhvqYvq18FssEI2ngxDuBEpE/nwikJghCRxRMyJow86qmAElxA+CD5hpBe7QeTTRU3udCTpgpr3ape15sgpy1RgZXzte1VoaWTXSJnMh4UT8GFWjczUL7vg4vn68KuDoVMWpr1bAnDiBL6EyvXG6etjNIGq483fiEDZssp+QWWNN1i++9wvZb//95OvnfV2mjSy2r+dVNYE6hDtJMkE9GCMM7uCmic0yMDIDHGo7+j9iwZowMhyMcTVLbI7FGbjKrHaIq3CA9td04yxXzSxSqL7Uh3tpGlhZYjM+IkapcQTcGchDsTnGVYd7iO/u6yWa6CljBO1KfNfa1z3kaMLIdBR8CYlvIoxNshXCnbGGMUTjKteOrBmp9n/XYamHGpuLSuwhzJzemyY0Wgir623/1orDO5YD0P70HV/JgrsVTjYxUeMqYyIz66EYMbJ2pG0XTXAc3/qs0fJlfckK4BSEcAHZVzmOxey4c8xQ6QWIe/iyx+TJsfvEjmMrdk7suOsgIV/dNK7r1BpmoXfnDvPB4k77hdqG1za8OnYfe3ZCox864UMlHayl3UuD2kRZMIudw/GQhpJruxBm7h4hbSLfFHsfvptgUOKqSTB8ZWvjapa+O3y9P7C5/uAw0wbrGO6uP6V9cbsLDzrgIPnC174gVY2JDN/TOFl4lqW+oXOycjVmw9oxPxqnY34mY4SGexauOjuhtov5Ug7cY77G7uFiRIirWW2E1mi5dsvSvqEHE+eLkT72npbV15AfYJolrparLlp9s4yJsfE/OX5riVY5MMtiw+VFofbNdx2G0NnGjj351JPy28t/K4/87RG7sHjWrFn2Y8+TJk0qIdHZ2SlNtU3bGDJ5dTc3AiRZbnfhWWefJVIvsrLVvC4MbLrY3D7n988RyBHIEQCBPNHKeSDPPPOMfUXIN+L4ADQJ1geO/ECug5VzY7Mg0FBnXheadS9OD8sqvhudLCQcSLZ4COBDvblO1mZpnvymOQI5AgNEIE+0BgjYln56cnAiwbryyivtGqwRjSPk2BOOlXe+/53ylulv2dKrmfs/xBFIvo6x6xiLsgOLF7wk1153gyxpqZSvnXWevGmnafLb3//JipEmdbJi29SHePVz93IEcgS2IQT6JFoEr1AAc8eznBPCMMt9Ym2QxUYsGJfDBn5mwSPLOVqdy4V7Va35GHBNjTz3zHNyxVVXyOzbzSL3hno56cST7BosdLCWdy8PQl8OzLLYKFf7bwrcy+XrYPtMjO9ZuVoOP2K+IBmy8tWV8stf/VL+7d/+zc5eLXjpX/L+U/9THquYKWOO/LB89/7nZP3//pd86qg9zEzWN6WOma5iiXHI1XUw7Z/VRrnafzC+Zo0R5fK1HBzJ4kssJr7WfsR47I4Ppu2y8iyLLzE/smAes1EOP7L036HkaxZfQuf0SbTYxaEtgrRGzLbRqgqzM9Fsy9cKNrTFae4abIS+du90ekKOc33IRuw4tmPncDz09XBsxHwFK+obes3BfULHOZYFd7SsQmX1v1bLd67+jjx///NSWVspHzn5I3YN1ujxhV2mVm6j22yzCqwxzoSZqe9g2s7WlS31gYIf2lfbuczibnbHxWzEFl3GcI+1f1aeVfdWR30dLN9jvoIX9Y1hFsLVcTUUAxprG6VjbYdc8vNL5O/3/V1O/9zp9pY/+NGl8pjMlAlvea+sN/Id43aZKcurG2VN7z/6JFkO0xjfs3A1hGmmtivqBcUwi8W7LLiH+kQW3GPtTx0sBwL9JoZpJswisdvF1ZgfWTAL2QCPLDEitBjejZmxvhn7SHJsTLS4DzJGUNdQzMzadllwD+Fh9eAiY2KsXRxXNeUCV5cY7jE+x45brhZ3YodiQOWFj1xot5Yn9ZzYFulzkCl+J2jpC6RkqWhJMHixRVSrJOJubB/1aXHhx7/W/EuWti8VBM3Sek9Uhvs40VOASN+H4+gwIXdghTNTWl1JG2w1Z5u/zwZbd9lSq21lB+C/Lf2b3Lf0Prlz8Z2qrhBiZvjhS6YsZmiXmCR2MLizVR3NLrYBO00r1lv1rOuRNS+skYV3LZSbb7tZmhqbZNx+42TPw/aUxTsslp8s+Yl0zS+IwiIRwNbrEGZsdUUk1qddUsLd+MI2Yg138KDdwL6fZoyRfljVtUoeWv6QnP2Ps1UbTntMwwwOch+t7RxX4TRcDHEVWQwf3+Hqs6ufteuFlrcvV7kKZmzv92lx4QeYg/1guArf0cehvr66WK4u+Zs8sOwBmbtorper7LBBn4y28xV8pT9QbyRRQjHC8Z167T5mdzl6ytFWKoPSY36Wdi2VEz5yggzrHSbPrzIyIk//Qa56+AEZMf3rZnnWWrNGyzw0dHbLqIm7yNxnr5UzZp8u1WPGyPp1hZ159G3qPL5urIw226uXtK4wbWSUIKqGS2/veqNts94KVmqChthI8h3nqiqHS1ePkVowPxMbxsqKdtr1Vbtd3hcjOI8Y9dCKAlcpvjhi+W4SMitG6YlFWbga4zs85j5ITfjiDG329Oqn7TmLWhd5uYr/cBW++5K6rFyN8T0Wm7n33UvulsdXPi43vHJDUAMrxFUwo99qXM2Cu43NptB/tTGC2H/2g2cXRC9T7Wu5auIh49jGjokOd3CjfTdmPIOri9sWyzNrnlF323OfUGzmOGMiuJYzRqRjDbHq4Vcftn9+ZvUzKlfJI7TYPBDcQ7E5NibCrzsW3SEvNb8kkxsmq2oJlUdvf3Qp6L7a+aoNMiFtooVtC61mhPZ0xSCJMGNIm2hh60Krs6VpV9y37D4L8PE7Hq8OgJAGPxmsfYVATIcP6Y4saV9iyU8w9hVmeBhANa0WF/BfP+L1MnPCTK8NBi98RYdDe8pnoKZoOloEhEVti4K4W9Xf3g6ZUD/Bvh5ETfvxxx+3a7AevudhmTJmirzlfW+Riz51kUyZPsUMKF3S3WXE8RJK1laIzoi8oeeilRjuJA3UJ6Q7QhJN8NN0Z7gHScOs181S/VjRucJKUWhcdbjTdtpUN34StLar2c57H44xKIGHxncGhJebXw5ylbajbTWuWuFMg31IAw1dOYKKxtUY7mAApjuP2ln2H7+/t74k6svalgW1iVZ0rLBPcFoCm+Yq7TC6crRcecWVsmTJEkHZHW2sD538IRk3ZZy0dbZZ/Gft+GF5YsYKuX71CqkduYOs722XYSYZb1u7St5UXysnv/k0qUBTq5iswfdOc86E2imyqnmYjJ5s0rd1vXLfc2tk4qgaeeOUBvPA9oq1reEOHjywESNI0F55tUO2M5IRlRVGVXxtlYyetM70uwXm4WWkqrUHP2JcjfGdQZj2DXE1FpvBnX4T4uqdi+6Uxe2Lg1xd0LrAxhArfOkpTuSVc7Ri+W70BWuHb3xsJg69bazR7Bub0OxL3BA9MLg4pV7XOIxx1eEe0oSKxWbGCNruuB2PU+MZHOO8kM4SY+JY89CAbpev8IADz0IxgvbnAUfThWRMZXKDcVUrMa7GxkTsLu9Ybsd2TUcrNiYSq5w+5lEzjlJzADCDh9osXRbc6b/b1W2n4p5lTHy141V5x6R3yK6jd1Vxrdxl1C6lg/azJuZpQhMr48TRtaODg6hVHTdZb0jQkMExlADhOE8SIccRNIO4IQ0NOlqImBB7dPXo4PQx5A35Sicl0Xrj6DeqIONrKPFg0OApVEs8bBJmAlfIBgPt+or1Umd+XnruJbnmqmuE3VoIjZ7xyTPk8A8cLj9a9iPZZYddZEzFGPPe1Bg1W+STBRFAntBDwnox3An4yzqWycQ6PVnDPnXVxGa5x8TFE4OYMltBBwtxNYa7U2IPCeuRIIXaH35Q5xBXabsJtRPU18M8qa7pXhMMxDy40G+0KfUsuMPVnUbsFMR1cW2Y7zy84ANPgVrxcfWkk04yM00FVXwSuroa811C87WKlvaWgmjoqMnyjt12kWsu/Km0vOvr0jhqvKxdtUI6H/mtfOGr75a3TOg74PIgVVnRLbf9w8xCGd7uP320fP3y+dLaUS93tfTIx985VQ580wSplVFqok2cIoEhRtz6cLNcds8SuezzO1kf//D4CmlpqpeD3zpeKnqZffcnHvBjwqIJQUzhOzzVEj7uR/uG+neW2AzfQ1xd0LLAvrIJcZW4HfLDctWMEyFBast3g6n2gMNAG4vNzA7sPHLnMFdN0jipboP0TJqPWbgaw919xYCZJK1Q19232z2Y0DMzEhICj42JXM+bp1CyRvvzYKG9TmOsfGL1E0FMaVfeimixGQxiYyLJKVzXEj5sxGLzoysftXCHuBrDjMQ0hrvtvyZZ07iaZUyc1DDJ+hnKAfqs0WKwDiVazH7gOAFKa0xsuO/YacTEBr9aY5I1a98McjbdlJ7WmO51jNo7zAFnQxu8nJ8hG/jp+x6juwYssBMSLMXXUKLFtTHczeSOPPDIA/K36/8mt82+TRobG+WDJ3xQPvCBD8iECYWnz86XzCdYOtpV7aGBYDZY3MFca39X1xDu+BpKtBzuIRFIbIDtSPPjK1wbw30gXNUUmweCu8bVLDZiXKUu2ickHD7ch4FSS7QcVzknOQtYXb1hDVprV6u0d7XLuOpx9luZI0eNlLlz58qNt94uH37nBHl66a/lsQdbZefJDfL5/zhITv3Yaf2ap9IMGivWDpPrH10gF5+yk9z8yApZurZFfvHpN8ojLzfLBdc+L297/Y5SXd1j/PAnSV1mVqTGvC783d1L5VdzF0hTfYWJXetNbBsm73xLk3zzmpfkrTtNkdH1fb/HmnTG8iP1Oau0s5zjPlvk4xntwjkxroZis4Z78n5Zucp5IVX3GEdcXOUrIb6Shav031BczWIjxlWHeyzO0C4jzI+vuPbnXloincVXh1k5bDQOb9R9LX5jNjQ2dwzvCMbmLO2PfW2MIDbExsTY+G/HM9NnOG8wMbFcXI1hkss7hHrZFnIMmYbf/+n3cuutt8r40eOF2QMWubsEawupRu7mNoIAM1skBsNMQnPQQQfZJOvss8+2Eg4XXXSR/PF3v5YvfuHf5Y4758l2E/yfA6oyr1j+Ps98+qjBfFi+ukIeerFZ3rp9QUj3DSZBY73WstXD5PUT9MX9tZXmG4Lt62XHCXXy/VN2lp/c+op5/VhItHj9WFc1TB54pkPev4d/4NpGmiuvZo5AjsAgEcgTrUECuDkvnzdvnlx99dUyd85cGVY9TGadNEtmfXBWLjS6ORslv3cmBNxsV1KM9JxzzrHXdvWajyePGCtN5qEhVJi5et3Ewvvv9u5eGWdmpygmxzJrwcyGGLMg3ldeWt4uq8zrxdqa9TJlbJ3M3LlJFpj1WZ0myUqW7cfVyRMLWkyiNTZTnfKTcgRyBHIEfAjkidYWwgteLbrXtS7Bct8iZAbroPceJBOnTlSnuLeQauZubgMIwOX6mnq5Y84dQnLFTJZVfK8rvGpiiQK/3d3mw8GJV45paJrbe8ysUyG5GllXYV5HFuRN2N/BzFS9f12xXHXfMrnzqVWy24wm+dbxr7PXdNvdjH1LY+1wWb62sCM3LzkCOQI5AhuLQJ9Ei8VyIf0bAmTsnNhxHI2dk0XMLGYjdjyLH1lsxHx1NkK4ciyko8VxdhLOe3qe/PnqP8tttxfWYH345A/bV4Tjxo+TDvOzun21jKjTF23ia8yPmAZaDJPY8ay4x0TxYvdxx0N2YnV1eAX7RETkN2t9Y75krW8oEGTlashGVj9C9WmqaZI/3/hnueTCS2Tm/jNtklWbEiN1uIV8GdtULWvaeuwp++00Sn5083w57R1T5K55q6TaJGCTR9fIMqPXVVtVafrFhlD3pQ/MEH6NhkRJEoHkrJBsbUi3Xm0x8hINYV0x23f7pWh9vc6KWYyrWfpuztUN2GfFPcb3kBaTa/8sbRO7z2ttgzGmXFwtR11iXI0lNeVq38HiblEtftlC87kSjQ+3CJOdfkzps4hR08hhJT87C7XF8Nhgcaiz67sxWyY5zydqhrwEiwdZCOkWK2s26rrrvLoVTiOJ+2h+2HOMD2xj5p6++rLDBhvU2VdoIOen5iuLOh1mvgZ1ftin/IoN2kScy8JIRBnnPTVPfnX5r+TBux6UWrPV/ajjj7KL3HecuqM9zg6sVR2r7L/tVYX29BUWDmqYOD9C9cUmx0O4U1f3q5EOG9yPxew+3RmOg6uGu/OV67XFow53d6+0L84Ga4UaK/06WvjG9RrfaSO70NUsqo5xFa6xCFTzg+NafR3uLPrUuArPQ3xPchWeJGU9nE+OH0HcDR70GZ8GGnbA0/E9LYkBx+nzt9x6i1z4rQvlwJkHype/8WUZXje8VHfkH8DTYo+GkYHM5yv12et1TXLro0ij9Mq+O9fLQy+Mkk/8/Cmzs26YSaSmmdeH680i9yUyYWS1fPiQsSaRKiRlxETan12nr3astItpOXdsU5WJXd3S22Nmyowm0vzlXXLsvmNN27abevXvUy7OwNVgnDGYUbRt6OAOZjGugqfGd3B3XPVJkWTlqvWDuOjZZTmQGGH5XqHwnfgfiM19uFocn9L9hsXHoTjj2gauaptuHO4xvsM/n14f93ALst1Y4ou9HOO8UGx2uPdUFDiaLCXcjZ3YuIo8BOdrel6Wq0r/d5gRY3yxGZ9iY6KzQfzVNlQQB0NjIu1PDKDE4iqxWVsMnwV3l4uoXDWYx/II1/81XG3fR0qBxIjOyZZb10l9itk0HufTmL6GACBsACTHNdXtlSa4cRw7aULQKdi6TxBE9gBi9SOeiZT4QQewYnSpIEhABxykCmzS6AuS5hz8oLNZaYS0DTqRaWzuQwLkKwRj/MRftjx39HT06yBsZccGfvieJixmRhPKzTasH7bezl6ZsUPueuQuue7q6+SBux6QCvNq5NgPHSuHfeAwq4PFa5WXW162ukLYoK7UA3KncXfZNuTGF5vAIQiZKJxDXdjOjK++tuOcGO7cg+29Gu74io2OykIyncadBJ52od3dvfqJmhZtaFwFy0y4G65ST+yE+A6mBOy0HwhQ0vZ09hhXh60fVhA09HAVzMGedvH54TBTuWraxeFuk3UP37k3frLlfW2n0VwzXEkHc9ojxHfXvx0WPl/5mzdGIMjb2CBX/vVK+f63vy/77LuP/PvX/l26a7tlcfPikiv1dfUWS2IIejwd1WaXY0//Abt7fafsudM4ufGfw+XZpc0yfkyX/Mfh0+UUMwvVVFshlZVG36hjgexiFsZXV1SYvtxsNPHW2kS1kGwNK+Bh2o8YMnbUdnLxyTtJW+8as96rWV5YOtIE8Ap5y+uGCdqBlexcTOValquG63CVuAc/0ti7tmuvNKKVZvDp1zcHwNUQ38ErFJvhKhIiobgKLtigfb2CxAYz2gbcNK66GAFWGxub8bWlp8XGNNqHwT0dq+Cv5epwv3BujKvJGKHFd2eDNuW/fXHVJnzr2mz7+9qX6+AIdSAh8MZVwwGrk1Z8uPbFCHAncQjFCOImcd034HNv/GBc9PV/8LW+GhtabLaJpRkTOSeEGe3ixqFQjEBnDU6n4yqxivpSrH5Yt3+iAz80rg4Ed+qlxuZiHmIfLD1xlQdH2gVsia1prjreVk5t3LCrB4JTcU040wWoaQ3madE0iq+w7RvChbSY6IzovWiZKKJ7S9uWBm1wfzRQQoKlaDWFxOj4TMuo6lGqCCQDG4nf9Mbp3rryR3RL8FfT64JoBOQZjbyq8BeSkuFGJHFMtdG3MuXZZ56Vq666yn6LsKmpST7xkU/IHoftIXvusOcGA+yWT3y1BZ0XOlhIvwq9KOqiae3QCSGLJtDqOmMIdwIgHIAjWgEPdIU03TA6Hr5Oa9Rt1FQWkv2QyGsMdxTuaZ+QNg08g0Ma38GbRCnG9/G149Una5uoGY2ckH4R90fjKCRYGsMdrCY2GK4qYpM8cBE4QnynP9BvQ5pAzEphI/1gwaaN33z/N7LvvvvKN8//pkwcUdRaS319iPagbbdv2r60bivNJXg6vLJTjtp7nPzzXx0yqyhhguBoodRKQ8Vosw6rytyH/zb6gE19hWldcpqMETUy2v7c/q/FcvQ+ZhF8RatMrJ0UlLOIcRUe0jboE/mKfTCNxIgssZl4Rp/RXg8Rowpq+oFNBiYhpv9rs2/uoQKdK60Q37mHJr5JnIrFZmIh+kRarOKhAEymN+ixOcbVLLg7VXlNgJsxYqQRtJ3RNENtX4SGSchCmo68fWYc0WaB7EOw+Q3FCHCnj2uyCiRz6EaGxGbhEG2jxeYsYyIxBOwZW32F+E6MCI2JLibbf/26t/ZhCa5qYtJZcLdcrde5mmVMJBYSQ0Iadn3WaNkt14H1BmR0nBPShHLH1V5oDsTOsYthlddfzm7MRuw4dmLnxI5jw/cUm6y7sxHCrKausGqXBAsl99lzZktDfYOccOIJctSRR8mEiRNkYddCO/OoBcCsvmqzjFnwyHJOFj9i53A8U/sz7acUd4+QNlHMD66N8b3AVF1naVNiFmrbgXB1MH03yfdkAETC4Zxzz5ED9j9APnfm56Suya+x5Px0uGm+gHlL5zo59M0jzTotv3jqavOJju3HG1V/ROY8JdT+R5sEjnVdr7SYz+eY3YkhnpWr/WNcDcVmDfek3wOKq+mdAUVDsT5TLr5njavl4GrMRqh9XazaquKqib+xuBrDLAseoTEx1qeSPNMSrU3J1VjszXcdhhiziY7Ne3yeXHXlVfLQ3Q9JfWO9zJo1S446yiRYxad0GrGr00yf01pKANxErua3yREYMAK33367XfA+c+ZMOfvcs6Wnrkda21plZL1fKHagNxhZr4cxvl2YWAef2XRy8Xzmi/ITcwRyBHIEPAjkidZmpMXTTz8tV191tdx4y412F+GJJ58oRxxxRK6DtRnbJL91eRBw6wKRICHJ2m+//eTcc8+1rwKXtS+L7tIpjxe5lRyBHIEcgc2PQJ5obaI2SK7xQcm9tAarsUmOOuEo+ymSnaftvIm8yW+TI/DaIWC3XZufO+beYZOrZJLFXUnCfAtLXzuPcss5AjkCOQKbD4E80XqNsWdQqasvrEdBaJQECzVsO4N14ok2waqfUB/9Xtpr7GZuPkegLAhYmZKGern1tlvl/G+eX3hdaD6v09Cgf4S6LDfOjeQI5AjkCAxRBPokWiwq0xaWuSdRnlZD59it8sP0xXTYidmwT8TKrkaHY8wGfmwqG6H74Me8x+bJL274hVXCZhA65eRTrA7WuAlmR4UpbIe1a68UJWuHRwz3WH1ZTBvzNWZjU+DOPWICcFn9CC0gBs/QcYdXCPetjaux9o/GCIPorTfcKj+78Gdy4P4HyrnnnSs1tX2JHcLTxQf+HSzfs3IkFJtjNixXMwiWZqlLjKtZeJjlnMHUd1PFVSeOrfmaxY8YV7PaCC3MdjEkS/tubtzLGVfLUZdQrInFoSx5RJb2jfXvLDZiXMXXykVti6wcAwaXti+1/7Lt2beKHsItbF1op/1jOlpsA9VW4i9oXWD1q9gCmn6FwN+WtC+xuhRok2g6WtjAz5hWC5XUdLSoy9rqtXYrq6ajBSZaAER7Ay0PzrGaP0ZHi22rDCzYe/aJZ+XGa2+Um269SUY2jZS3H/l2OeLII2SHHXaQHiOKSB2wvazDrFkxP1zvw4y/oeXDvz49J8jidLTQUUnbcEkLEgLck3bUdLScfonPD+zEcHdb5q1onkd3BF/hHDIFSFL4dLS4xxqzY8xxLR3o4Cgc0bjqNHIWty0u6ZOlAwN+0GbU031JPn0O98UXtoFrOlrIkJAox7hK28Z0tNyuXp+v+MH2bmQxfDo7ViPNbN/WcLdcNX0Kf1kjlf7aPNexZR5cNb6DGVyn77PtOckRPhBdX18vc2+eKxd96yLZc5895bSvniarhq+SbqNtlXxAAnfqgNRAmmfoaC1vX24xRyeuaXhTPx0teIi8A1IiPr67h0IwC+GOVAH6d7EYoeGOJAP3oF8tal1k9sCa3bIpzju+E6fY7t6vbxZ1tGJcpc2w5YvNtBd4uRjhi81IIdB2Ia6CA30OTGM6Wm5HbpqrLkaEcHcahxruVp/OtO+StiXWZ01HCx4NX+8XmwYruEy/TXPV8iOBu9NW02IEbeoTzqSu9CPaf37LfG/74ofT0fLpbDlfwN1KVnj0mriP0y+LxQg47YsRSLIQd4mrvv7vEhc4hICzLzY7Ha3QmOhwhz9ITYTGMzZrazpaVpfO4A5fNUFZ+p4TRvVpLWbB3cYIE0e02OxihLYLFimLNR1rhP6L1A9t6CuVaLu4bcXckIqjC+PL4qk4DU7AIMikz7HkNQkUHVWzgRPOhk20UlvjIX1TZZMVvCQ4+VR9uQ/aRfjhdE6SleO4FYfr7bXn+OrCOYCInzbRSvlhSWU6EQED/SJfASsaCGKikzO6drRVan/s8cfsLsK777hbmswarGNnHSunfuhUmTJpivSYn65uI15nfuqqCyKm3IfOFMKdYI8GioY7hK5ZV+O14QZOsETzxbV5GjP7dGaENTU/suBOB4P8IdwReAMv3324Bz4ScDhug7GnbdDi0biKDXzgPrSdL3FwiQW4qbib+8IzDXeCCkENDoa46vhuO7OnLnZFk7EVwz3E1RjulqumT+Ev2ONLuv2dwrHGdzDjwYe+lfSVv1dXVcvNt9wsF37zQtl7v73lu9/6rjSNaLJcT87UOtyJJb764if+cZ7TuFtf0VdewSWTGt/d4BXD3SYkxo9gjOhqscft4OVpO+pAv2Jg0rgKD9Fs0/huFfkjXA3FZpdoEc9oO+0hmDrQ7hpX8Z/EExveRMu0CVxFLiPEVYu7seH7wkiW2ExfoP/jL7G1t7LvGxL7UMoXGUzc5D5afPdx1XHejVUOd198t1w1DwPY19oOH2xcNTzQziEJxk4IM8Rk4Znviwv4wU9obOa447uPq7QbcR/7vv7v+oxL1EL1DY2JLkaQgGj1JeYyntF2vkSLvzktMPjq+4KMyyPQsCIe+fpmFtxJkkNctTOVJvxoMQJceTAghwB3Hra8iRYHXXGDV/Jv6YsQASOoaFN7BGsGuSw2NMFSiAAhNOE1fHJ+aIKlCK8RwLL4oYlA0oF4GtLE2/ADkMeOGGuVcp99uig0ig6WWZPy8VM+Lu874n1SNbFKxg0rvCas5scMSslC0CDRyuKrhruddVlXFbSBgCC4affBBzpBFj803EkEUQ+O2bBBNMG9JB74CPYhG6gxM6Bo51CPpm7DVUUkkvvhZ9b6arhbrhoOZOGq9ikQW3fz6jiGGf1O42oW3F2Q1Wyg00agDfEdH+i3aV8RI/3Bt38ghxx4iHzyq5+0fYJSU9X/fXgMd7AEb+6VTggdT7Lw3cUIDXfuQZ2z4K61L1jRr2I24Il2DnUh4Ie4miU2r6leYwc3bUaSdneJlnc0SMRVTa/PXRerL22nCZZmic0u0QI3X2HwJQaE/NC4muQQuIf4TiLFIK7dB25RT+6lnQPHsBPEzPAIG5pgqZ0MyThGaFzl/vir9X83rrqkwYd7ljExFr+pC+e4B2nffeApPM4SV7XXtgPBXeNqljHRjVUaV6nfkBQsdSJwWjDg7zExstjxctmoq62Txx59TB584EH5y81/sQnWrBNn2TVYEycWlK9fbH5RtmvcTk1O8VULjkk/QwJvWeqrTfc7nLPYiJ0TO54V95hgnb3PEBAstVz1vCJNcjeGSex4Vsy0V/XOl9eq/dnccc4558j+++1vRUnXVhU+oaMFwFh9XT1C9YnZKBdmsfuUM1a91oKlA+LqEBAsHSrtnwuWbohmsf4wkH4XGs8GIq67sXFmIL6GcpFYXO2XaIWM5cf6I4CS+5yfz5FH7nlE3jzpzXLSSSdZodHx4zd84oLZvbzkCGytCJSSrP33t1IOrNNaunapmXLeWmuc1ytHIEcgR2BgCOTyDgPDy56NTMPVV18t99xxj8xrmyennnSqnH7i6SUl940wmV+SI7DFIMDCd0pajJQky87OmlcceckRyBHIEcgRKCCQJ1oRJiQHDZTc+RYhT/G8IjzlpFPkqe2fkvft8T6ZMGpCzqkcga0eAZKshuoGuXPunSUxUpTfSbLykiOQI5AjkCPQH4E+iZbb3aABRdIRPad4RgjsLcUGi9yqa6rFKrmbXYQ8wSM0evJJJ8vRRx8tY8eNlZ8++1NpbW012xL8Nd6AmP6UH8VjG8M9hgdIx84pC+6lu2x82w3E183eZ4o8C/nRWNsof7nhL/K/F/2vzNx/ZuGzOkVBXltXx9XArFaWtnO21Fi0FcWZcsTVcuBe4uog2q6sNtghopQYh8rZ77L0y9Aa203p6xbhR8YYEUvYLK5bAFepR6XbvorT7IxgYZn7W7qiLFCzkgdml1zl+v6TYc4Gq/01G9hk15HbzZG+B8Cxc5Edg5oWl71P0YZve6jzg3M0P5I2kluZub/b+fHEvCfkF7//hTx8z8NSW19rZRpY5D598nTrtt2W3d4qXbUFf32LN1mjhR9g5tu55ny19S5uJU5jgl1nI4Q7mIZwd7swfOdkxszcw/FEk8RwbePrKA53dkiqfhi8Qhxyvq4bVtg27VusanEvctUXfJwNsFX5biyHcKc9Y1y1fC9i5gsKmXEv8t237b50jwDf8RWOOn99XOWY1nauX9x2021y4bculIMPPFjOPPtMqa6v7qPJVeKqkUXxLVKN4Y4OHX7Spp09nVLZW5BgSJYSZhG+u7qUA3dtCzn3iHLVnFO5rlLlGfV1PAtxNRSbY7hn5iqxCj2/4f23qWfhquMiNoZV9E+UstiwXF1f4Cq/vs0mtk8V+4QaZ8w5of7tcE9ryjl7zle4qMUq4nqmuJqRq6G6ZB3PvFwtjquWqwqmrr7EGC0mZsLdtAtFs8FGGct3dCc9wuQuVrkxVtsU4Wz41AsGFCNMnNlYrhJb3Biv4WoTraUdS/sJltIYvspBeMQ12UoeEyzFuAYQgmcUtlSmB0lmkRBeZNstgmOaYCnCi3SUkGAponeWdJ5dYQCEjfbqdmnpaSn4U2O2opvY8NjDj8lN194kf7/j71JZVylHHXuUvPP975QZ28+Q7u5ueanlJautwRZU66cRLUVYjU6XHhDAEoE4yIvmhk9YzQmWQsA0ZhCGv2EDzDXcwYpOAEn72SDrN/6ydZ/2rqyoDAqWWq0uDTNzPUHQhzv3Rg4DPGxCoAiW0v4tlS12e7ZPsJR2aTH6RQgO+nafJIUzfVwFM8hvcTfbwH2DV1KwVNs1wt+dUKRXsNRIkFDXIFfN3Wlf2tarK2TaBq0udGVoW1+fcfWFX3DVK1ja3Wb7i4Z7Fq4SKBxX0wG/salRbr7+Zrn4/Itlr332ks9+9bPSVt0mq5tX9zk1C1edYKkPd76csLprteUnIoBsNV/Xs65vv0oIlvr4zsm0+bI2g7uxExMjDMYIw1Vwb+zpLxRLPwEv26/Meb4diK7t6C9e0UvjJ3HM4a5x1fFQ4zv8coLTXsFSuNq10upkaXEV3Ox9zE9MsJS6+7hKXC3xHd24dJJsjqNdtaprlRqbkXagTyBayW8/wdKijhY8qhnWfwyhHlY4s6MgWEq88sVVh7u2td/FCMtTfkwc7hPfi4Kl9EnEVX3tmxQsdVIB6b5luWpwByuvjlZCsDQWI6yMhIercBy8wJWxypdcWq6a+E59fLHZPSRrMcLhDg9tsmbiiY8jLkbQNppgKTGAghC3JljqhFM1rnIt3Anhjg0bmxWuEpfBTBsTuTfnWK62G65qgqXTGqaV2p0kh4qPrS1o4KSL7TRmzOYabuwrBBQGuYn1BWkDrUyqn+QVI+V8FFYZbCfU6eueaHT81HQ2GPARu5veWJh98hWIhXqt0xVhDZb92LN5RTiiaYR85JSPyP7v3V/eNuNtGy5HFighDcT1E+onqPUFC+4zo3GGKu9A54IM42oLWlvpYskawZ0BCa2dyfWT1fqiW0LbTWmY4j0HwpCcTmvcwIn0iTHcnVo/9dUKHEPTRdNRob4ja0YG2662ygjv1TQIPxpmzI5s37S9Kp1B5+JeGs/cdvupDVNVvo+vGy+dFZ1BrtJ242vHq5pQCA2SrHEfrYA7wnqa5o/F3YhihnCPcZUgQUAGs3SZM3uO/OJ7v5C9991bvnP+d2RcU5GrfSXhSovh6XfatusY7vRr4suMphnSUOdvXzSnYnyP4U6CRNIRjBEm6UAUUdXAKoozh/qME2FF9NBXGPDRlgpxNRab3VZ5/NBwn1A7wQ48obgK54kPmp6T5ar5ndqoc5U60i94sPAVG5s7wrEZzBkjtHhGUlNTWRPkO3WAz9vVbhfFXet37uGI+vgKCQsCy9ObpltRS1+BO5xHfbQC7oyZmj4hCTLxORQjsE0f17hKMkAMCfnBWEWM0WIz9QBXX4xwdQNz+IovvkJiw3gXGhNdDqLh7uzCVU2Pk3rEcLdcrde5mmVMBFN4OrlBH3u36cXwrC2pHlYtyDRcceUVwmDS0NggJ598shz5gSNl/ITxsqhrkdo58gMbEFi6dKnc+/d75d1HvDv6jcly4PbKi6/Iyy+8LB88/IP9zF177bU2IagaU1WOWwVtVFdWy21X3yazPjJLRo4pKNlvbYXNH6zFOmDmAfKZMz8j9U35wvetrY3z+uQI5Ai8dghs04nW0489LTf9+Sa578777IJeJzQ6aVLhycOueeo0nxBJPbW/ds2xZVpet26dfP3rX5fD33e41FWZWaLO8EfFB1rLhQsXykMPPSRtbW0ya9YsezlisN+/+PuyXf12csjbDymZ/M1vfiP/+Mc/5H2Hv0+W9hReUZercP8XX3xR5s6dK+9///vtNyurqqvseoOLzr9IzrvoPKms3Lq6VFIn66yzz5Lu+m5p72iXhlr/TFO5sM7t5AjkCOQIbC0IbF2jQsZWsTpYV10tN9x6g4weMVpOPPFE+cCRH8h1sDLilz7tr3/9q7S0tMgHj/2gdK43GyoqzfehylRI4n7/+9/LH//4R3nDG95QSrRGjRolHz71w3Lpzy6VAw48wCY4r776qvz2t7+VX/7yl1JbY17H9tp9KZk84buYjzxihGff/GaprvZn1k8++aT87Gc/k5tuukn2NwKdJFpt7W3yoRM+JE9e9KT85S9/kWOPPTbT/QZ60uZI4HiFzkzWzJnF3YV1dbK4dbH67bGB1ik/P0cgRyBHYFtAYJtKtJBpQAfLrsFqHCFHnnCknHTsSTJjkr6eaFsgwWDrSKLFDA+FhKu5pVmkuByBdX0rV66U7bbzr5OI3Zu1K1/5ylfs9XfccUfp9LbONpvs/Pp/fi3//Oc/ZZ999rHHmekiAWJt3JqVa0QSy9GQ4aiqqvImUiRad911l7zuda9TE629995b+D300EPtpghXqOPhhx8uv7r8V95Eq6a2Rl2fhY3kBom1a9fa+9fW1lrzXV1d0tzcLGt6zEdnx48q3ZO/oeXGOrRyFidGymt09LH2228/+3mdOpNkUXIx0nKindvKEcgR2BYQ2GoTLQYEp+/jlNxJsBicmME6+qijpXKC+Six+cnLxiPQ3t4uvNrbbbfdColBW5ec+cUz5fyvny9vfsub5T/+4z/koIMOkuOOO650E5KDmur+Hxv2elGckOrp6fspIxKjETUjZMLECfLggw/aROvee+8t+cGizovOuUhOPOZEOfz9h8uyZcvkP//zP+UHP/iBjBtXWMhtJQuKs1fMGCG6aXeeFotvNoykinsnE47Ozk472wYOJJporblCovTwPx6WxuGN/ZItZutet+PrpG70hkXD8+fPlwsuuEB+/OMfW65+5jOfkVNOOUV+9ZtfyRlnnCFv2vVN9tUoM2v8ljPRAjPu6dZk7bd/IcnKxUg3vn/kV+YI5AjkCPRJtNitou1YcQNT7By7XXNYX92bNMwxGwR8n75G0k7MBrs37n/4frn3hnvtwMHgd8rJp8iRRx4pY8cXdlUual8k7F5jQbOvxO7BNTFfnY1QfTgnNFPAtTFfYseT7afRPouN9DnNa5rt7M7E8YVdppMmTJJZH50lF3/vYpk8dbI01jfKcR/ckGRxTntzuyx/ebndWZgsJDB8J7Kqsqpf+xdeAm54DWhxNz9TJk2RxYsWWzNLliyR3d5SSPg4/ua93iyXXHqJTbSYdauvqy8lWZzT09EjL/3rJbvbs2edkYNYukyef/Z5aWpqslutSeKqKgpbkF1xfri/2XY1dB+33Th7z9UrV/dJtHq7e2XRfMOz9bVSW1mYpXIF3MZvN15GjBlRugevLg9/7+Fy5pln2mR0n732kXe84x1y4003yq9+8Sv5/ve/L3/4/R9k11127bMeLEvbxbjK1vGbr7vZ7i488IAD7WvD6tq+fSN2n6xcDb3SdX0lFItifoBx7JzY8aw2BhurnB8hTGK+ZsE91v5Z6xtql3LZiPkaw6NcfvjkB5J92MZu87OtcVUbQwaCe6jfxPrUQO5TDl9DNlzfC51T6fRfrIaGkVSAMJr+BYMP2jYQyyeK5nRHGDB5HcI2Tl/BBtuR2QKa1pUiQULvAx0NpAbYwp0uJCWL2hbZxepsaccv7l1bV2tnG5598ln581V/lptvu9muwXrnMe+0CdaMGTOEmRE0T7CxuGWxtFa3SlN1YWBNFid4hpaTJmXB1l98ZNusz1dsoOFCfRnEfMkUfqNLwjFN9BSsLO7mHJ+ek9NqcdooIR0t7NDG6PH0qW9Rz4mt27yu0zRykrijx/Xy6pftlvEVPSukoqtC1nSskbe/9+3y6H2Pyk9/+FN5esHT8mrvq9LVYTYVmIKu1cPPPyx33HaHjKgdUWp/8CfxeM9h75GJb5pot5DDTf5eV1NX0FMxultr1q2Rzq5Oq7HVXtEurb2t8mrrq9LCT2eLtJofzmntapX9j9hf/vLHv8jfHv6b3H7n7XL8qcfLq93Gl24jY2ASqGcWGcX/q6+SEdUjhNmlhx96WFb1rrI86unukSM+cIQ0zWiynILvvFaDPyx+x7fmdUY/xWinoKW1uGOxtBktq/lr5kttd+2GV4smN9z9XbvbZM6no0WShi4bWi20I/3hpFNOksuuvEyWLl4qF//wYlnds1pmHj9Tzv/i+fLQvIfkiWefkFM/f6os6zQ6UcZveIE2EVIFmt5LfUVBnwp/wTKp+cZ9SUIRI7U6WfvtJZ8+49OytmKtdLdteEXKefQdsAADTSMHjnGupvm2vH15SZcoHSPqa+otnvx9QesCGVk50mKeLNimDi42eLlq+h5+EMs0rT3kHei38F3TjYPvyBH4YgT14zhbwOnDmo4W5yAhwzZwTc/JxggjaaHpaDmNLF9s5hrw4j5wwYc73CNOgZsWV8EYP2w/RQcPciYKuFuZAbhqZqVDMcLibjjXT9Q4wVUNd3zlPvDE6QOmYzP8Ra/LFw/dIExdNK6CGT66c3zjlB3PjA/UwadfxnF0HtGdWtS6yNu+NjYbPjuBbpWr7YttGwZ1tIy2IPY0rT3qgj+N1f0132hPOASu6f7v6o5tbKytXKtylXpYLUZF3ikZI3y6YtzLjWcuWU5zhPYHMwr+ajpa8J1rNa5a3E2c0nQS4QA2GKNVHS3DdaR3tDGRHGZN5xqLLfqfac03h20lJ1oNFvPjtFoQcEOgLV0IRlSK87yJFjbMtSh2c57PhhtsseFLtLDLL8GCf302AIj7cD0AVVdVW5I+8dgTdg3W3+/8u9Q11MnxJx4vs46ZJVOmThGjM293EHItg70V5TP/Wj88wqku4Dk/fR3R+mkI5/41lvola8N7C7jy6020iri7Ovnq65JS/AzhTvv42s7VBWJTZ34r1vddsG4DT0VXAROl/ZO4cw7kI5FlBmpd5zp73ej60XL732+XFUtXyBf/44vyw+//UL7xjW+UlHfB/Y1veqPM3Gum1WpxQcP6iK7quvXywuoXbDLo2mVkxUg7M8bMI/+9tsqsY+qslrrhddKytkVGjxotZi5WGhsa7atLJ+w6fdJ0Oe7Y4+T8c8+XqZOnyjsOeodtf9rCzoYZXvy/L/0/q9tG8vXrS38tJ5x8gowcOdIOvF09XfLympftzJLlpdlhyHor6j1mhNFfq2iw7Y9fPZ1GL838bDdyOysZMryiMAu5ctVKueqyq6zCeTqIkjAeduhh8obd32CDPvVlEf+frvuT7LTjTvKWN75F/veX/yuf/vinZY/d9pC99t5Lzv7a2bLXnnvJztvvXFBON8kudeqp6Cn0TQ+XIaUTGSbBTHKIa0lurr/pevnON79jxUjBa8SoEdLRabSKDFalQFzkKrY0jliuFvumN9Eq2uA8X4ywbVdMOOwnsEydKir6ctX1XXcvLUY4Lmv9u3t4d4nvvq8LOK5oMQJfXczkXl5x3WJ9tX7FPRicSjHCs3nDxmb6W7FPpOvrEq0Q7qU4FYirtLPzwzt4FetCnMgUIzwP0o6rGqZprvr0vLBBe7n6+trOYapx1c5Mm6TP2fAmWsX6unulcaddeit6bbto7eu4arHNElcVzMAhFJtj4xkJaXJc9WKWGhN9PHNJeDIu9EnGizZcLNLGM5dH+GYMbaw1cYr+ZNsvEYOS98rC1SjuxbFZixF2TFxnsPc8eDgsXN/iHG1WujIpskbWTsV58tIKT3c8nWuvumz2bxYiB22Yp28nSui7Dz4hutZQpQtSJsUKn3nazEwYoVEW8KJg/clTPimHHXGYNE5qlDHmxwJifhC4TBZmSLiXJnpKPZhl0oTXsOWENzWROMhCZq+J5mHDCbiFMCOrD+Fun67M7F/IBk8K29Vsp4rRQVwGj5gftJ0j/4iJI2yy1bKkRZpe3yRLlyyV31z4Gzn3zHNln/32kdP/7XT5/SW/l09++pMl6K3S9rBGqTc//cYVM6aCFTOVzo8r/3Sl3HD1DbJgwQL58Y9+LKd99DSZ2DRRGisaZdWSVXbmqs787LbrbrLslWXSMLxB6mvrZWnXUjntlNPk0p9cKqccf4qMrh3dp/2d2jPX1g6vlareKhkxfETJL/jXUttSwn3+S/Plsssuk1deekV++aNfyrCPDpMJb5hgZSe6V3Zbcc2dp+xcSCqLL+VHThgpn/vM56xgKQKLvsJs1Pqa9ba+Tz3xlFzxyyvkf3/+vzJ69Gg59cOnypumvUkOevdB8rFTPiYnHXWSfPvsb0v9cINe9QY9K8dhhB61onF17py58uPv/ljefuDb5bNnflYmji68BiYBSxf6A4EwxhFNfBd7DnfNBjOM8Bkb9nWrZyWp5XtlmO8uVjFA+QqJL3ZCmDFDwHEe6HyF/sQxTaySa+A7XNLEZkkYbYwwtrSSJTbjawh3Hmx4Og/FVWb56N/aqzDangeJLGOEJnoKXgxIIdzx0Y0DPkzgIZiEbHSvC3MV3JmhCcV3N0up1bex16y9NHEVzLT2ZazkPiHMHO6a+KYTAY3hTl00roIVcVUbq8CZMYR6aOdkGRPtQ6MZSzTRU+7DeKYJo3PcYclMsBMUT/OAuAnftdeMWXDHBn5oXHVjYohnYMpxrf3xu08I0171uQqSNHAOvwzIvuKOqxHDHCjZ8EVQArHpAL7p0aTNyupKeeTJR+SGa2+Q22ffbtfFnHjyiXLEEUfYnWc95mdRyyIZ0+hXp8VWzNfYcTtoRHx1Npxys4ZZaH0G15YD99Dr3Cx4eM8xS5Testtb5N7775WZB86Ujt4O+X9f+3+yz7772Kp+96LvCor7yRLDlePJVznTZkyTz//75+2OQV7jDa8cbl/jvbzsZVmydImwaJvy9ne83S4kt+3CjKxJ2pCBOOjgg+Sdh76zH/TJTx7ZaXtePSdmch1eju/Mku721t3kV7/6lV30vt347eSldS/ZWa47rr9D3vjGN3q/mcWaxdC6xSQeNXU1ctHFF5WkRv77h/8tK1assDOy243dTt5z+HvsJoN0iWGqcTUp4fCNc74hrVXmA+mBwn2Gr9d3Oia5qg3Wvk9NJW/p+n4oHmWpb+yc2PEsfSLNVa1/Z6mL+xKBZiPULllwj8WqZH1DbRcbJ2K4xo4PJK4OhqtZ/LDtm3qFmo5l5YyrZi7HW6WsvobaxiaNns+iDTQ2l6v9Q2NibPxPclVLtMqBWRYbdoNU6vNM6UbcIncdItPwy9//Uu69814ZNWKUnHTSSXYN1oQJGz7Zw2uVvGwaBNgVx+40ko9pk6dJ7YQNi75JgPfaa69BOYLEgK/87rLfya677mrX3lG4D0n27Ntny6GHHWrX6v3mxt/ILrvsYv8eKryeYmcku+60wm5FPiqeLC8teknmvzJfHr71YTnzm2d6L7WvlCIBzl2IvESy4De/cx6cI9f84RorLVEuTa3S7sKihAO7C1esXSFKrB9UG+YX5wjkCOQIbKsIbFGJ1lNPPWWFRufMnSPDaobJh0/+sJVpSCZY22pDbs5677TTTjYBufwPl8tpnzxNOjtMkvsaC4fPe3qePPnok/Kji35UqjoLdL/85S/Lz3/2c3nrHm+Vfz37L1nbvFa+8uWvROFhmpm1WQMtrN/67S9+K2cccYa89a1vHejlmc4nSXv4gYdl0sRJVhR2MMXJQbiZLLTInIQDU/6bQieLGYDQLMFg6pdfmyOQI5AjMNQQGLKJVjLgo4Nl12AZmQZmHEiw3nbo22SPHfYYanhus/6gTfbK/FekvdvsEg2re5QFo7rGOvnOd79jJRiSZccdd5T//NJ/2sXo7zvmffKx4z5WlvtpRlrbWuWYDx4jp7731NfsPvSFUz9zqoyr8H90POuNed3aUN8g9911n5VuIMni302tk8VrqbrqOqs7hpjtW97ylqxVyM/LEcgRyBHY4hDok2ixej6kB+K2DmtbO6l96JhDx+0s0tBirUxlTaW88q9X5A9//IPMnlMQGv3Ihz9iXxGOGTfGygnwBK4tYrO7rJQtqCU/Iue4nVqhVo1paDgbIV0Qu8vKDKZacVvlY7hXrg/nzdZOAJMs9Q3hOm36NNsmFd3hT/DE2gZ+xHRUSLC0Rc5ocVFeaXnF7FbQWw8/Qu/WWTcX4yo7EKe/bnqw40frm4Gr7GrsqOmwOxd9JXYPrqlvqJfr/nqdPPqbR+WgmQdZ5feq2g1rQgbb/tzDcTUUR0ZXj5b77r1P/vqXv8qo0aPk/gful0+c9onSxginTRTlaoTvsbbLVN/iLkitgbNwNdY2zo/QOs1YbM6CexbtqbJgliWuRmJzpri6CeI7uIdmXzmeJa7G1jVlwj1W303I1VDAi/EdHsb6TUyrzeYasfoavMqCu7Ie3WHg+l4QE7R13GCDxo6m04ERXmGs6FxhdxRoQfDVjldt5UIDJTa4PjlQ2q225jXMsPXDZOHTC+Xy31wu1/3rOruz6IhjjpCjjjxKtp++vbWNDgi6JZ01neoOC3Y1oMGiDUzUB10ZdqZoOyysPpTxlV0FvkJgtFo8BkN88nVIdmlgg50gGibgTv21dTy0Twx3tHHYuaRtUsB/MKHO2s4W6oJuibY7zmFmta2UXVjsfHL11YiHD5zXWe1fR8f1rv00G+gW0Rm13ZwOd9pOG8DgKovfteO0J77AU43vtu1bV6nt7zCD12nBUlc3dImae5rVh4YSV81OK42rJdzNDqh0cX3r5btfll9d/Cs57rDj5N/O+Ddpr2qX5k7zuaRiIUkO8d36YbgKFloAc1ylrm7rtt3JbHb3JgMTuH/2c5+VqVOmyumfO11mnTxLOod12j6Chhr20TBid6WvZOE7daFtNdzZcbSqy+impYRkk/fDBrvb2AXnK1m4Ct/hc1d1QUsuXdhB53DXuIgNKyegLLotxQizs9U3SGEXrqL5pcUq276mvmyt1x5gLVeNDU3kucR3cFceCrLEZmIRbUMM9xV28YEJWl1qnIlw1eGutS12iRGhRIsxgvrAVa19wZvzQskDuPPQpkkZ0CfQ69LaxbUd/UarDzpPTm9Pxcxg2tHTocbm2JjoYgQxkxjsK/gYGhPhKvWlZOGqNp5lxZ2Zfo2rWcZEMAVbjavUo/KHj/9Q1nSvsSTAKIHOCvz53v+YV0IMxIj3+ZIGAIJ0dHoGBI2gCHxxHGLZQcB89oRrnnniGVl29zKZd988YffVHoftIVP3nyrtM9rlslcvk67FGwIVDYGf2gBIJ4IwbBXXNHKwoel5Ac663nWW3No2VTC7f9n98sirj8iDyx/0Dj7Ui8A0omqEd9YKzNiGbvWMFNxJbPA1hDsDLQMCW0w13O9bdp9NLK34Yqp9uT/Bi2SN+mo2suCOL+DuK9yHYE0w94rzmeNwDEy/+8h31bajXRh4NMzYnQjuafV551NmrsJ3g6mP77T/c2ueswKQDGK+5IP7UB+Nqw53sB8MV+E7r22pb7rtautr5am5T8kdl9wh2+++vVQdXSU/femn0t21QYy0xHcTA0KYxWJEmqv0wb3G7iX7D99fOto7Cn3A/O/N+75ZRlWMkgsvuFDeefA75dG2R+WP8/4oDY0N8tj8xyxmFz92sVQ3Gn0qo62WLGCWhe8hrmbFHT/gqU/zz7VtjKshvlMvGyNMnygn7um+B1efXf2s7RMIQmuJMvVtrCzE5nShvsQHBluNq1wTw52EnvbT4gy+3rv0Xnlu7XNy16K7xOxz7+cLgzhxU4vN7iE4NJ5lihFGhJj+RPLii5n4wRjwg8d/4BUkzspVcEfGwDeeZcHdJSfaeEasRFTz2TXPykWPXqTGKtqOJMkXm7OMiQ53uzzAPIz7xpHYmMi1j6983Lb5yy0v9xPXdmSwuUilic2e771mxT3GVeJyKDaD6z1L7rFCr+gxatqhlWe87YwSiWOzBARRKj61YWpwRgvyTajvu3Ym2VNebn5ZJjdMLuljPPbUY3YN1tLZS2XSmEmy8wk7yy4H7yJfPvDL9jIGkXSD8VrI6i2Z5MRX6IQow05rnOY9zh+t8rRJKjT9CwBGCXtGk/7R6R8+8UN546g3ymFTD/PeByy4z/TG6eqMFk9DDECargjEnN8yP4i7U3ueVF/8mrPHmzMfOFM+/6bPW+x9hSBMEjy1caqKWQx3N2tGfbXCbCSBSwuS3ONn834m5+99vmqDoMHsXWhGC9xpu9AsAdiOryu8akwXODe/eb5MaZii8v2WV26R59c+L5970+dUX2k7qwyvzALS2cGe+2hlQYvhqkmiNK76cKfePO3dfPvNct8198nEN0+U/7nwf2Tm1Jn2k0NpDTOrlN26OMh3vh6BzTG1ftkUx1X6nX2CNzkSs3nXXnOtLF++3AZFHqwmTZokP7r8R7Lj63eUD33oQzaY7r3f3tanyx6+TJ6seVLO2fMcdRdoFr7HcLezJma2IRgjDO5oF2kzifAjxlX4bnXhErN6yXYmvi1sXRjkaiw2gzv9hr6rzZzc+PKN8krbK/LpXT+t8uyl5pdsfNBmTixXTVI4pVHnqsW9rvAlhI2NzRc/erHsP2F/OWDiAV4bJHzEgBmNemyOcdXhvn3T9ioezOASB6iPrzBGnPOPc4RxVGtfZjpITifW6zufGRMZM7WZFZIK+BqKEbQ/ek4aVx979TH588t/lrP3OFutLzx0entafWNjIsdJ1jR9MpJ8fA2Nib9/7vf29ifvdLLqq8sjtBmtLLjTf8fV61zNMiae//D5csS0I+StY9+q+lqZ7FAllWOjcKoVznFCf75zstgY1TjKqmo/9+xzcsUVV5S+RfjRUz4qx37wWJk3fJ48sOSBknkfkM4PLSCsqzBK5UVl6VhdNBsMVDEbDPZWbV3BzKlHh15hOtX40LRwFtzJpkM2nC/aOfjYUdERtBHDHaXkGGYxG04kLoaHxT6CO4q/ofZngIrdJ8R3+1ox4Af3jtUX+6H1hllsaLjfMecOueCbF8j73v4+WfcBowlUaz5XVVRvTuPi1LRjeFjRygwxIpngHn/88X1ux87Qa6++Vj7y0Y/ItX++Vo45+hire0axnzsqvnoKCQnG+J4F903FVdpYq4tVfC9+oSLEVatAPkDck/bgata205YgWK6ilp3Bj8HE5liscn0i5keovg73mA0SrdAYga+h9uUYfI7dJ2aDxHAwNrLG1ZAfWcbEpGK7j8/g6fqmxnfeeFCy1Fd7sCgX7rExMQtX+6yeZtDRnv6ptBPmigmNxcS7nnj0CZl73Vy554577KuCWSfOsvIATuuobWGbrOvyfyfRNUxMfC92HDuxc2LHLSbmJ1RfZyOGWQj3rDZiuGf1Vc1MyoRZDFeOx7b/Wxuez0Sl+RESgYz54fCKtV0mXwOCdjE/Npart99+u13wzu7CL3/NyF688nPp6OhQm7ecfmBLC4AMGAcecqDssOMOVlV/u+36KqK7tYpZ+tUWw9UM7R/jatYYoeFu+1VEz63EAWVvTjk5Emq7oRSrQv3bxaptjavl6HehuBrjaTImhvgeGxNjfI4dz5IDcM4mlXdAIfyqK6+S62+93n4rjgSLXYQxMclQo+bHcgRyBPojgBSKS7KQcKiorZD2tnYZVq/vbt1UOLKebeouU+VNu75pU90yv0+OQI5AjsBmQ2CTJFokWHzsmeDf1NgkR59wtHzk+I/IpPH6eqLNhkh+4xyBLRSBpBgpSdbMmTNLYqRUaVOIkWaFrr3TLIauG7hAbFb7+Xk5AjkCOQJDBYGyJ1oEcyeAiNDo1VdfLbzCaGpqKn0qZ/h488HYYYMTXxwqAOZ+5AgMBQRcv5s7e64VIeWzRU7xfSj4l/Yh9BpsKPqb+5QjkCOQI7CxCPRJtGKCdgTz2Dl1NXXyz0f+KffccE/pY8+nfvhUuwZr3IRCcsWOg576HnUnF/eICVbG/Igdx4/YObHj2MDPkK/ORuycmGBpzJfYcedrSMsli43YObHjWXEvV/uHBnR8DR3nWKw+sfbPWt9Qu2SxwQ6va66/Rn75vV/KgTMPtMkWEinJEhOBjNU1ix/uHjGehXB3bR+zMVjMylHfcsaqGFdD9c2C+1DhahbcNwVXs/jBOaE1Wq79tzWuhhKOGK5ZxsRY/M8Si2J+lMtGjKvcp9KKNppFkpzsthBrC8AgHFIE7ARgpT3/n9cVtTW1dpElOlhXXHmFncEaPXK0HPbBw+warBnTZ1hNKgTmOA8dF7fDKb3ojV0iiH/ZbZVmSyvbYvs9DZuED1/ZJmp1lFILPLGNzpITLPUtiOMc6mI1MozGVfocq7PT2ynLOpapW27ZxcN2Z7aIs+4EjapkwUb3+m5bX7cDIl0Xh7sTLPX5yt+wATZVw6r6dXxsUFcnWNqvLkXVeYTVwA2/aY/0ILy2e62tDztCfH7gI3iEcEdWA05ZHRbPwltbX2OD88A+fR90ZPCRrcxWLJAPMqc0v+hAnAMHfVzNijuYcj3n++rLffEVn3y4szOGtgezGFedyKuPq1xrRSBNv9K4ih/wMc1VJ5dw+023y0Xfukj2n7m/nP71060Y6dr2gugfhTZnWz6SJxpX2fkY4rtrO3CHAypXUzEizTOHO7sf03pO1dXVVpcM22zfRydn3br+XA3xnfvBVe4Twh3MwQKuhnAHF2Q1vFw17QJX8ce32Nxh1tDTYGOZL85kjRHwXuM7ONIniBEuNidxd1yFaxpXOR/M3C7adL+jLiWuGj6pMcL4EcI9Fpvxlbah/8MFNk/0iaumbYl1xO+64X6tJhsj6LsKV+nzXeu7bH01GQo7RhQ5xP3T9eU4flAfsPe1L+cwnjnBUg0z7gNnfXHT4Q7PQjECG2ClcZXx13E+PVZRP1dfpGJ8sTnLmOj4jp9IG/nqa8WIja/sCPclssQqeAb/Qlylfbmee/m4Sp+kHq7f9MsjDAewwbVW88uTRzAmWhFvZUykvxFXwZaxQBNprSzs3eq1PthBxzR28m9J5+yuQ37YvTLcbNGsNQPyul556NGH5OorrpYH7npAquqqrMrzMUcdI5OmTrIN39rRWqqEG9RcwPA9LdjBtVhp384ybJR2hBl/NFG0kr/K7jRXF199rZ/YLg70sZ0n7vx0opXeueb1FXVyozWk+eFs2H+V+jo/NRvkKoWUpbBL0oeraxOt/S3ucKB4vYa7u17DLOSr5VbB2VJd03ZKfgxzdyrw15U0P7SZgg1X98ejT/tTZ3Mvnx8lf+k/Hp7Rrq7dkucm/XVtquHOuUnc3X3sVmujSXX9DdfLhd+6UPbed2856+yzpLGp0bu70Plh+3rK12R9Y7s51w8rxgFPfZNtr3HV4eDlKl9ISPHU50/pnET86sMB+lORp6ofxVgWxb3UM/vyrE/bcy9lt6yv7ZJcTfY7ks+NiRFpDnn7TBFXX/s7f7JgFoqrpb7nxonUQ5IbZ6I2EnG3H1cztK0bZzSupmNZehBO4lHqvz6+s5uUWJXgWtqWG8/UuOrqE+BQKFb52i6Nmesvrjm0Ph4aA0qYFvMADbNQfX2xWc0BjLMuH/HdKzmOqDlAccz0xmY3nhX798bkEe4a96+GayVCislOT/aH6JlWePpygpfPzHtGrrnmGpk9e7Y0NjbKpz7yKdnvPfvJ9GnTpcH82DLc/KY+z0aWibCmpuqOCCXKwwha8uMrZOQIfGqfLCCrJ9NN1i9thyQQkTlN9NRmp6YTaYKW2MNP/NV8hQzYCYnVEVwhlCbwxn14qp5UN0ld0MzTQfu69mB9EQmdUDdBFUZFmZinuyBmEdyZcaFdx9f6RUCpC7NpiOJpwno8JTZWNwb9gNg8rWpcLeFu1Hq14p50NKFYroNncFV7tUvb8+QU4iptBx7atxn5jMjayrVR3BHOTHP1zrl3yiUXXWK/XfiFb3xBpowuCEn6Fpo7rmrCijxpghscUYvpDzzF4YsaI0y/CgnnxnCnTTkHG7XV/m87ZuF7DHcU0LET4zv+hD45BY9DHILv9D1NbJbBDexRltaKe40dis3Emcn1fjFi7BJfnJq6FlddbNZehVmuVoS5yuwNMVPTQMoSmx1XtfoSu+mTodgMl0NcdbiH+F5hxN2INSFhZOIm8V1rX3AA1xDPOI4NTXyTuNxc2Ry0Ae60scZV7s9XQbT+D0fgEPXQYrObsQlhBu6My5ogtY2rkRjh4gvjCb++Qn2JEdprxiy4W67W61zNMiaCKdiG+mafNVqxDzBS2YqqCnniqSfk2quulTlz59gEa9ZJBR2sCRMmSPN68y2stmZpqPd/G8wOtCao8Gs+++wF0Dc9nj7R2dACU+x40o/B2Ij56vzgPI0QnBPTyClhpnzgMkt96QChNs5iI3ZO7HhW3H1Tzsl2imHm/CBIathqr7/cfbg2hnus/bPWN9b3fLjygMNarAMPOFC++o2v2m9/hkrM16xtN3w9T0/+4gYvbGmDdQx31/ZbE1ez1CXG1VjbuvbTcI+1f5KrobbbGK6m+27MRszXcnA1q43Q2wz7cFKME4MZR5wvZnGI10xWX2M8yxJXYzZibRfzNcuYGPMzydXQuFouX7P0vdA5A9p1iEzDJb+7RB665yEZ0TRCTj75ZLsGa/z4DbMXnZ3hYB8cCfKDOQI5ApkQcEkWYqTsLqyuq7afC1LidCab+Uk5AjkCOQI5AuVHIFOilZRpGF47XE4+qZBg5UKj5W+Q3GKOgIZAUieLmSyXZNXW1RY+TF7c9JAjmCOQI5AjkCMwdBDol2glg/VTTz1lhUbnzp1rdbCYwdrzXXvKHtvvMXRqkHuSI7ANIDBs+DD7fVCnk9VPjDT9hehtAJO8ijkCOQI5AlsCAn0Srbq6Orue5blnnpM/XfEnmT2nsMj9lFNOkSM/cKSMGz9OFnUtsutWtHf4XB9abwQoWc6JgRezETuexY8sNrL6GcIkdh93fDA2nJ+DtZHV1xAuWWxkxVU7rxyYZbER87NcPGPN459v/rP89wX/LTP3n2k/r1Nbu2GheAzTcvg5kLoMlmfuXrH2HSzPBhurYtdvKsyGEldjXIwd39RcjXEoy/HB8j2GSex4Vp7FsI3dJ3Y8qx9Z7AwlX7P4EjqnT6I17zGj5H7V1XYNVm19rZx40ol2kfukiYVP5bBArb2jXdZVmMXb5gnbV5IL3bQbh86x2zmL26TtllTlI6ix+8SO41vsnNhxq31V9FHz1dngX3YXaphBPG0BYHKBMXIBG4u7W7Tp06bKgkeWc2KYxWyAg1tgGloQyTkhzJK4a0HQLcrW7pNcDO/D3Wmfua3TrwVXuQc/s2+abXWyDjngEDnr3LNskpX0O4b7QLgaw53F8Fm4Gur/2mJn56fjSaxfxXwNLbyPYVZOrmbxw3Fa698uBvuOJ2OE73iW9k/Wt2J9xUbHmRiuseNZfI3ZcHUJcTWrDSvvoHwUPLkYPnROqP1jPMtyPHYOmDpfh8q4qo2JyRgQ4rxrP21zTtb2zdI3tbZ1vprtfaVcwNdxKpetWyaPPvKo3PrnW61MA68I33P0e+SwDxwmO2y/g3R1dcmLzS/aaxlIFrYutAZ9onis/ke4C8eRgdCcW9i20G7vZAtoekcHf0OokC3zS9uWWsmCdKFyC9oWCMJq9VX9BUs5jjgnYoS8UfENgJyzqHWRFZtke2b6HAY3K1hqhOi0tS9suUUAEn+XtC2x4nXJgo2e9T2yuG1xYRbPs4bGCadyHdenMXPJBJiFcEcsjS3CPtLY+5pt+dQV3Hy7ZDgH4TUE7cDM13YW99Yw7m3dbbKya6Wtqw936ruobZGwbXZNtxGlSyXS8Ip7rO1cK6+0vuIVLMUGmDOrCj98mMG/xa0G92KikuaQ4yrXIgPgqy84gTuYsu06zVXEBaNcNWBSH9oWvvTTN0rgng7o+F7fUC+3XXebfO/b35O99ttLTvvKabKmco0sb15eqhLnWdxNn9FwZ8s3HMFf+AhX0lwFB45rfHe400Zt69pUwdIYV4kRGu58vovjbCOf3zJfmiqMYGlPX8FS/EPIEky1IEm/wQ+Lu0eMMGuMwEZzT7Pd7u7lqulPtl+ZNnYPiElcHd+RRWiuafZz1cTCxe1hrhKHsKXxHRzwFR0fX2yGq9hAPFOLq/hN38SWTwQyGSOsPpUn+eAcxogY7qu6VqmxGV9p3yXtS6w/adFq2tYKliJ8reiOWa6a8QOpGR9XscEYBO7arjUXm+mXjAX94oypK/2I9udrJ772tWLSZoygbzEWeDErcpVzrGBpSnsMTLkHY5qW9HEf2p+1mkiJpLlK/KLfr+lc4+3/tL3lqhkTbWyu6R+b7Zho6ovIZyxGIPCML7768jd8pfgES4mTxAAK8Yhx3lewAaaqYGkG3BkPO3r1GNHS1SKIlsJ333iGZA9cBVuwow29idalF10qt95yq4xqGlUQGj36GNlpyk72XDqcVJv/4NcUJzI3rWGaqoEFUWK6UQCN/oWmgYVGB4nLuDr9e4j4gnaNpoFFI9d31Au+hgqaIpr+CaQiaE1vnK6aQDsDLRdNz8XpjkxrnBbU+4C4ms6Kffo3PyHc6RwE4ZCODvWcUj9FpjQUtJbSpbnaKGUb0kxtmKrWN4Y7naK2ozaIOx2WgUvTWaHzkPyG/CCA0jaafhG4cx/aTpvRcmq/miaMe/LDD03zjXZHOTjEVdoOHS1N32ZtlVHkN505XV+C0K233yo/+97PZM9995SLv3OxjGoYZfvXsKq+M5sW98ow7nAdf7X6EiS4Z4jvYE7Q1nSFXLKBDW15QQz37Wq2s3jTZxpq/TIxaGDF+B7DHaVt4kcwRpgHFPq4pivklLi1PkVHgn8Mfpp+kdOECnEVzMFT47sb0MBMw534QoIS4ioxn7poGliWq2bQD/VNfIFnmuJ6lthMbMCGpi1GPVCQp75aiXE1ibtmA5014oAW3xkjiKtTG6eq7QvHnD6Zdh9wR0eL8dNX1lQVvh4Rwx0dLY2rJNrokwV18szNqY8Wm+2YaPpmKEbAP/q4pgvpZtawoSW5xABKSJ8OnsFVTXssC+6Wq0ZHS+OqGxNDMQKs4GlIK7Pyvr/dJ6d8+BQ5+sijpXZ839cRvg4LefnVOjPHmBEJffspZiPL96NiNmLHacTYObHj2IAo/Kr1NVg4O9pTAMc5ptngqS3mS+y48zXWdqHj5cIs5ivHg5hmaDs46O4TCsQMxoPharT9M/iq4cEmlPPPO18OOuAgOe3Lp0ljQ6Otii/pi2GahatZbMTOSXJVC6LYCOHurttWuMrTchauhr7dlgX315KryT4W40js+KaKVQ73WP8n0QqNd+Aa4+q6Yfq65i0prmZpu9g5PHjExkQXA2JtMxRwj7W/bd9LLr1EJk0qrMFyr2PSSu6uE5XWoqSmNpOdzJ2jDW78PXZOSCAu7Yt2n9g9svqRxZcsdcWONrMSu0e5cHd13tyYxdomhsdA2i6Ge+heWXAPtf1guMr3QlnwjoQDn9VpqW6xrwc1leQYpuXwc6C4D4ZnOVf7ohdr383J1XQ7Z/U1xsksfTNL7B0MD7PUZVvkajlwD8XmGDcGEovK4WvMn9iYVemSrJih/HiOQI7ApkEgmWShl1VXX2fXZCV3GW4aT/K75AjkCOQI5AgMFoFMgqWDvUl+fY5AjkAYASdGOmfOnNJMFkkWi8Mp2mvnHNccgRyBHIEcgaGNQJ5oDe32yb3bBhBAKqW+ul7mzplrP6eTFiPdBiDIq5gjkCOQI7DVItAn0QottnRP1bFz7HZNs7gzVGI23KLNwdiI3QPbsXNix7ER89XZ0BYGOz9CMxZuYXhoYWAWX0ML7rPgkeWcLH7EzuF4bAYniw1rh1XxSokd59rYfWLtnwWzpsom+d11v5NfX/xrOWD/A+S8c8+TmrqaPl7H/IgdHwhXB9PvsnI11C5ZFsJmqW/snNjxLG0X41BWGzE7MV+z4F4Orsb8GEh9QzyL+bqp/LDjWWBNsmu3wcbmWH1ix7PgHsM0i41y+JFlTAyNl443MV9ix8tV3yy4VrI1nS2ODGzo8HCRpsUD4TiHbep2d2GqcB06Let6je6Q2XqrCThiA/0J3xbiiuEVdvswW6/ZzurkEfrcyoydTjOILZz9NLDQ0TLyDpzj0xRxSSPH2WrKtnafr/ydc7Ttsuz+wk/81XxFqsD6YeQXfORxmPEvx31+0D4x3NFIYsuz1SZLi7ySa5jct72nvWTHpwlDHdBZ8WmTJTHDVytVkMqnrZ6TkRlwmGn6ZRxHlwZs0udY3RlzHF/RQQvZcAmZ7xx44/zwDeoOd3CgHX02HN+RTfDxneuychVfsZPEjNeF1VXVctvNt8nF377YzmT9x1n/IV3VXdLWuUE7xvVNRPG8XDXt295daFuf3hNth6/o8OAvUhL00XSJ8d35YXc9Kvp0jqv0S9/g43AHbx/ulVWVti9h59WOV219ent7+3Z/wzP4jryDl+/Fs8HDh7vjMn0XO7EYwQ7Jxt7+Ololrho/YlxFq8dua/cIMKP5loWrIb4nY4QP90xcNcDgBxIDvi3zTs8Jvb26KqMJp4hJu3FEixHwMBSbHVcZm+CrlRlKFsO9zp7OAmZG5sNXHM9sPRSuIu+ADU3ep8RVdh2acck3zhBz4aEd9zzt6/oMWmCMeSHM8NUneYQNsICvPk24ZGwmZmlchaM2Bij9v+RrUfPL5ytxOzQmOhu2rkUx73T7gFNoTKT9rZ6jKdSZdvIVbICXxlU7zhg5ihjutG06NjtMY2Mifc1pdnq5WnS8EqIw4FWYH/6b4NHRY4QzzU+6ADyOc9wGydRIyxZjjgGkZgOblpxmIO2t6O1no3p9dWkQBuC0CKgFoChYhw3+O+0Hf+OYu4/vicTZqO6p9gr8OXE215F8DV1rtmcyoEM+BimfCKQ9Dmamzr5ZGosZx6iTB3enlB7F3djAjmYD//HFnlMUeuwbu7JjNhjcXX0hqE9ojoTGchJfDR6+XT+OZ9jQ6utwJwj6Ei1nA56rfDd3dxzyCZbWSI1te3iahavg7biIT3U1dXLt9dfKRedfJPvst4985etfkaqGKmnuKAQZVxxmNT01KlepZ4jvcBUf4RFBPy2shz/8LcR350fletNGSoxgwOce+ENbajGCv/ts1FbVWv84bm30Vsq6dSnB0mL/1/juYoT1w8SBJO4O04HECGz4ZjYs/4rxM8hVF1eH94+rTjjTYaZy1dgI8d3G3OKg78Od9o9xFWycH07rKB0jqGcMdxdj1Ngc4WrN+horeG25ajjp46q7B//64rvjqjYWpXH3xXdnQ+OqGyMYPy0unvZ1ccb2LaXPODvw3Rfv3NgQwt35yj18XCV+gSdx0df/qX+pf5t+6xWsLQqWZokRxIGOCn8ekYwRPl9trFrXbbGABz7R8lIeYTALcRXOh3BP1mVj8ghwcmON618+LlUmxctInqg4An1aoVKIpmmvdsgwuXFQFM88TSNYqolAIqyHuJ8meIZvNBZiZproqVUmNgqz3EcrAMt9NNFT6gEeIRHQUTWjrNCoE1hL38t97iYkaEgnAM9YfUO4UwcIGRKjQwSUumjnjOwZKasrVwcxi+FOZ6ZNQriDETMVIRFIhPVCAnA8hTCgaFwt4W4EWrXCk46rj3YOsykh3Gl7RF5DbUefQbCU+yULH4j+xfd+IQfMPEC+es5XZfrIojBuYf17n4KfcE3jahbcLVeNCLAmAug+iRHiO/0BvmJLxcz4GhL4i+GOGCr3AffaGr+AoxPoDfFdw935TQIFnsEYYR4u4ZgmNsuAwIxIiKvcj1kzbebEzS4jJqyVLLEZzodwd4KlIa4S84hV2qsw5EV4cg/V1+JuxEY10dMssdmJ62pc5aEBTEJtF+Oqwz3Ed5dwaAK94GWFoA1mWvvCHfqnJnpKmzuRb018E9vMrsRwp201riKqObJmZFAElDGRe2mxOcuYyGQNY4AmeurG75D46pjaMbYrjK4ebX99hVl5cNdeMzrB0hDu2ECwVONqljERTMFWExzH9z7v//pN0aZqR0d23w/yvUrhdHdcjRiJc4z0qfc0q4SufFvKXRC7T+x4Fl+z2Ij56mxwnkYIzgmtWeHacuDu2k9rmyz1jZ0TO54V9yztH8LM+RHSauGc0H24NoZ7rP21+vK5K3YVkmT95zf+U4bV62vJsmIW678xX7O2nfZtMRdAnR1tsI7h7tokVJ+svm4KG9rroIHGqhhXQzE1GSM03GPtn+RZqO1iPIu1Tey441Gob2axYR8czHc5BxvvQmu0uEc542qVmFednpK1vjG+Z4mrMRvlav/QmBjzM8nV0LhaLl+z9L3QOfmuwxA6+bEcgdcAAZdksSaLZKuirkKWtCwx03yvwc1ykzkCOQI5AjkCmxWBPNHarPDnN99WEHA6WS7JQvEdKYfaulr7Kia2y3JbwSmvZ45AjkCOwNaGQJ5obW0tmtdnyCFAEsXHaefMnmNnsEiykmKkQ87h3KEcgRyBHIEcgbIhkCdaZYMyN5Qj4EegvqFerr/levne+d+zEg72szp1Rh4jLzkCOQI5AjkCWz0Cmy3RCi1k3hpR35rquzXVZVNwbfYNs+W/v/PfcsgBh9gki9eFQ7Fsje26JdRpS/BxqPG1HJgNFRtDDdvX2p9y4P5a+1hu+5ULWhfYraXsMlnavtT+y7Zn32p9dl9wvhV59GjkcO3yzuVWYBBtEZ/YKCBjA10Rn9ggW1OXtC+xQoLL25db4dF0YZcBNhDHZAtneocCx1t6Wuy2e4pvBwO+YmNt9Vq7nTV9Dq970BsBE58eDHbZYo4oGucsa19m/UkWrgOHxW2L7Z/RKUnvYMGPZR3LSjpaadyxgW8L2xYGcXfibGxXTduwQqjmh7VA1JmSFoHjHLYPcw7F1/6c80rrK7ZNqLsPd47Rds7vdNtRX+rC9Wz/Tdtgmy0+Ipz6Sssr9ngaM7Z1L2lbonLV4b6obZG9va9jW652GK6aH9rZi7s5trB1oT3m4zvco+3BPs1V1mQxk3X7DbfLd7/5Xdlz3z3ltK+cJqsqVklnc2cJFjBFQLClq0XdvVTiqjnPx1VsOIFeDXfwpl2Wti21Pjt9KeeI09HimFbwg74J/nDdxxHHVXZiadpT4G41cswW/XSMaKxrlBUdK+zfX255WUZWjJTu7r6Chdhd2bWyoNnn4bttc9N/4ZGTcPDGCCOGiIijFiNcnKF9fLhbrraZGFLsV24HWhI/fIWHxLXm6mYvz9AKisWIUGx2WnvcJ8RV4gwisFpcxW/LdwSnjYRHPw20JFeLO3LTXHGYhXB3MULDnX61qmuV5Rq/tHOfuGraFokIeDJsfX8dRc6Fo2CqcdXqaBVx1wZ+FyPAAXkGX1zFD/gxv2W+t32xgZgpMQZO+/pMbEwEUwRLEcbUdji6GIHApxX5Te3aZ6yFH4yJvv4PZrHYPJAYAX/w1xdX+RtjgBYjiFW0LYV/qZOvuNzFx1UbI4qCpTHcrdyI6Z++GOHGRDjgyyMQOgVTsJ3UPqkfV53flWhMUGG7GNf8DwfRLvEqZZvzSJAm1RU0sPoJfBkb6BtRMfRttC2aCHuhO4GTPmVwNKnQfEK/Bj2ldLFJkPFjbM1Yr4o5x2kcAiG6I5q6eNf6LhlZNdLew6f6i/owddS0S8CKa9Euwde0bogTxSPZAjPfgmf+5n7R4dCU4fEVzHyk4nq0iayOVv0Eb13AEC0f2ptfX2JZ31VvVaF9NtzgBe60j09NGz/oXHAjhDt4EAzAy9f+bevapLG60fqBJq4v4JMgkfz4uNoHd6Oj5gukVonfJEPgAFc1ZXiSAQ13AiBtT4dOctW2h+HejbfeKD/8zg9tkvX9C74voxpGFURtEzpZnAvuayvXRnFHW4h+4eNqDHe4yrXo0+Bzb3VKbR0xQtMvwVrTJsJXjsNBdIU0rjKA0f6+5DSNe5qHxA/qyb/gjs+9Vf2V4UN8T3J1XM04PUaY5BY7Ia7S/hruLsGlL1gO8ZNSS6e+8J3BA+2xfscZ8M09GHzAXeNqKDa7RMvGGfQJfUKxhqvoEcETLa6Cm43Npu28gpV8EaKrTuor6oNcxQaxTPtqB7EZDmm4gyuJLXGG335cNX5Y0WTzL/X1CpYaG3BL46pLGhzuvoHccrX4kOrGyX4Jn0kCaVu46m1fY8OKhRpM1Lha7HvamIgfaEI2VzVHcaeNfTGCehArbQzw9H/XZ+i7qO1rXCV+xWIEsZk1qcSaUIyg7bSHMfocxfY9wwVfYSwKcZWv0+BvCHds0LY+xX0XmxkTg1w1mIKtj6ulRCsp1AU4VFwT72LQ4xyyYwKhr1gb5kcTXuMazsF57T78vWpYlR2wNa0t54dmA/uco9Ylgx+mGqX6eitr/oif1l8+9eAp4Ol8VUVejZ9ucPbZgKwOsxDuBJZQfZ0vmq9ghrrxYDBbV7EuE+6htuEYg0XMj9A5rq7USSvcJ4ZZDHeNq+wu/O63viuHHHiInPbV02ySZblv+k66WH5k4CrXaphkwT3GVbdoXxMBdn0X/mh+JLmq6ds43DUeWgFf86N9Csb5kbXtNF+pZxbcQ7HKcTUW70JtZwUeizExxNVQbM6Cu4tTWeKqGiOGG+X+4eZzMibmhXwNYZYlNse4ur6iEBPTIsBJnzge4qrDPcZ3Egu1vmaMsLEm0Ded/RhmMRskBTEb5eBqyIbrezHMQnWh3zq+a2Oi41+Mq/iqCZ9zD3KWGGYhX7OMiYxDjmtan+izRssn/5+80B0PCbjFbGAvdk7s+JZoIyRGGMIzWdfB4u5saWTYFnHPgmmWc5KYJnWyzjrnLPtKwb3m9ibSxR6hjlxbYJ8ZKGbpOJNztS8bYn0zj839e09WzAbb77ZFrg4WM9c22mvb2Ji4JeUA+LrZFsOHGio/liOwpSJw++23y3nnnWd3F6KTVV9fL8ual8mIuv6vwLfUOuZ+5wjkCOQI5AhkRyBPtLJjlZ+ZI+BFwE1/uyTL6WQ5CYdcjDQ1O8M6pvAXh3Km5QjkCOQIbDUI5InWVtOUeUU2CwImYWB34QN3P1CayTr77LNznaxAY7CuZn3vern9ttulta1VDj/8cKmq8q9x3Cxtmt80RyBHIEegjAj0SbTYJaJ9TJR72t0PZhuktviMc7Dhk3VI+oyN0GK62GI8dx/upRWOtVe2B6HinJANfNS+hO4Ms9AutOAarLChLQx2dQnNenBtFtxjMycsMIxhxjbkUIlhFjuete1Ci4udDe3D5hx3uIc0W3zSIMm6c20M9zEjxshvL/ut3PSXm+RdB79Lzj7nbLP6si+C3CfEI9tnzI6xweI+WK7C5ZgNfA21jeNqKI6wk+iOuXfIk08+KaPHjJZLLrlEPve5z5WqT7+zO34i/TvGd+oSw52t3YPFPQtXQ3XhevyMcTWEaRbcbVw1SW6o4Edo8XCW+G75bnbJDSY2x+IqdRksVx3usfYPrReCq1niaqjtuD91CY0jYBr7QHIs9tImg+VqljERP0LjO1jExsTQ9a69sBGqTyyfceNIjKuxMdHyKMB3Ox49uPxBuwWSTo42DVpPbmtlmoAQDv0itkNqxEHvg0GDrY5aQd+E7ZA+kAie/1jxD3l+zfPy96V/924PxS5aIMgDaORE6gB9G7ZdawVdGbayakGQbdfoeIS2uz+z5hkrNWHlLlJbu7kvnYP7sHVXC6RWd8rUezC4o/fBFmIkL7TyUvNLcufiO237+XxFVgE9J45rJYY7AxfaRNRXK+go0UnAPl3AAY692Pyi/G3J31QbaNPAQQ0zi7vRNmNbroY7frIDhu3OvhLi+7DhZldcTa3cffPdcv1PrpeDDzhYDvj0AXL/2vulp6dv0oQWENuuteCBrhC/42t13KkLkhdsrfeVGO7gClfBxW5Z93CVrd0r2nW+c19wJ8FNS5k4nxxmbKkmlnA/5ATeMuYtfdzeZY9dZK999pLL/3C5sA17YcdCeX7V83Zm64mVT1g9mtkLZ0t9Y72d/UqXLHyP4Z4pRhjc2RLvC6Rgurh1sdCvQlwN8Z16ES/RtgpxFQkR2k3jO1vq0UhzuPv61cOvPmzjZiiu2thcZ2Kz2U3tK5arRiIiFCMs7qbN7a4vT4GrjBNabAbXZ9c8a+V/iK0+rvJ3uIhsjlZiXHW4a/Edu2gkwWnq4yuMEbT/nEVzpKnSL0OAzhbnxcZEJFO0JBddSDbUhGIEbYvckMbV59Y8Jy+sfSHY/oxVjIe+2Ez9Y2OiixGM7SOq/OtSs3CVGECZ2jBVzQHg6ri6cTYe+UoW3BlrRtfqXI2NiXD1X2v/Jfcuu9fmTz6u4lvlvUvvtZpTVuTT/MuF6IJ4s3gT7xCSI8j6ZmgY0OiICJZaLQ/2VnoK5EUbwydVgDTEs2uftWJz9yy5RxV4w0Z9Vb1f76WoS9LW3WY7iM8PfGWghZRWONXjK8J9BHQ0RXyFgR7iEnicFk76PAZyggoDrW9dCn5YQTbzCgpy+/yg8fA1hDu6MvhgNcFSdXGCqwi83b/sfhusIXuycA4JN4MPxzXMSArRDfLq7BgbBECn1aPZAA+erME+fQ6DM4PKgpYFcveSu1U/aBe4qmFWwl0JkI6rYIumV4irBAz3UWgws9ID9SbJuuVuueWnt8jb9nmbvP1Tb5dHWh+RrpV9ZwQ5N4YZSQVJstUV8/DQctXw3c0E+9o3hjvB6IXmF2ywtuKL5iddYnzHj+auZouFFiMcV+EQ7cO9dhu9myz55xJZvWq1vbaiskIOft/B0tXWJS+9+JJMnTRVFrUukrmL5trNAySEDMZ/W/o3qW2ptfEkzdUQ3925YEbberXnHN9Nv7GaQRrugRjhuIqIb4irlu/F2ULffajfmm4TIwJche/E3BDu3AcO+Wb6iFVPrXrKxhEtroIbXIXvvthM+2fhKmMEfoZiBDzU4gy+8qAFVjwsp2MVfvLWhLipxeYsXM2CuxPL9MUI7oEfxNV7l9xb0GLyxF7qynm+2Jzmqu9tEfeB7/TxUIyg7dxski+uIqqJsGpoXI1xNUuMoM2oh9VR8/SrdIxIxyHa/5nVz9hryRO02X76dzo2O1tgNhDcgzEiMCYSA+Y3z5d/VvzTPtj7uGoTrX9/87+X6gmp3LSeN7Mwf8RY6GkGQkAqEi2t8PRGJqoVnrgeXvGwfO5NG14npM9F4ZgngFCJneOEJkNT9jFf6YA8rR808SDVlRhmJCaxVyUxG3RCsNdmGnCO+3xpty+pwQlir+pYZYXmtBLDlOuYBWTGUis20Tb80GZFucf/PPE/csZbz1BtMPCQPIReH8QwoyOSkNGGA+XqfXfeJ3ddd5fstd9ecuqXTpXT3nSaaiOGRywpxPDKDiOKap68QlyN3YfA99axb5UDJhww4Pq6C0i0CErMNgwkRvxt8d+kp7vHJlqVlZXy6N2Pyo6v31HO//b58olPfEJO+/hpsveee1uTf9rhT/KPmn/IOXue0+81rLtnFr7H8MBWjM/gHuoPzADGuArfG6ob1Fki/IhxNUtsjsWq2Qtmy8utL8tpu+hcjflhuWq+2gAXtVIO3EnSDpp0kOw5dk+dq2ZmHGFUrWwsV5P2eFgnLvJwqRXi7ll7nqXOrPAQhfi1T3zb2Yy1HTPDJDBaMp6Fy8xoXfHCFfKV3b+i1sUm2uZhPfSqM+YrftZUFjTqBhIjkude+cKV9v9+aMcPbXSsyoI7/ZcZXK1kGRN7h/XKB2d8UHYZtYtqp8+cG7NRoUSLTJRzSKS0dVrueCjR4pwR60aor1IgrlXQDhRs1PUYlWJlHYd7HWO0hVUrnMOgoSnP4gPnjDM/WrGzQMZfrYCVneUzAUpbp8XxUKLFtVHcTRLFbFQo0bKzHuZe2lMgwZzjRjs8iFkId5IXbIw1P1px9dV85Ti+xto/lGg53OkoWnLi2kVLtLiWc0b3ju7Dd7e78D2HvEfe9LE3yZLeJVFfG3oa1KTQ4R4Kopar3TpXs+Ae46rjR4jvrs9oiZbjKgNDMlgfcEDf5O6hfz4kP//5z+2rwiOPPFJq6jcEZWazbKwxnCZB8RWOxfhuPxWVAfdYjKjurlaT8axcZcZae+3HTDR2YlwNxWaH+5j1Y9RBEryyxNWQMGaJq6InWhb3dYbvyrqVLLE5xlU4EovNMa463GNxJpRo4Sd42dm1opp52h5c5bxQooWvTeua1KUwWWNETXeNylViRJa4yjilxeYsY6Idq8zr8Joaf6JFbIiNibG1k2Bsx7LeUeo6ray4h7iaZUxkDVf683tpDuS7DoNDZH4wR6AvAoiROp2sr571Vbln7T0yf8n8HKYBIMDaGdZofW2nr0lbu1l3Ml5fmzYAs/mpOQI5AjkCQxKBPNEaks2SOzWUEHBrXpKK70g4VNVUSXt74ZtrecmOAE+0Le0tMrFpojQ26a9ts1vMz8wRyBHIERi6COSJ1tBtm9yzIYAAuwt5ZUOShdI7r8DOPffckk5WnmQNvJF4lRtaazZwi/kVOQI5AjkCQxeBPNEaum2Te7aZESAZaGhokJtvu1m+863v2M/qJJOszexefvscgRyBHIEcgS0AgT6JFovgQsKaPL3HzokdB5PYORyPzRRksRGqS1Y/YjYcJlpbOz9DdmL1zWoj6qtJHGJ+xGxsKtxjMx5Z/QjZidWVNr3t+tvkJ9/9iRx0wEE2yaqp67vAM9Z25eJZ1vqGYg5YbKr2j90n6GfxVWzMRqz9yoFZFhubiqtZ8Iids7XF1RCPsrRdFg5p0i+ub2/KfjXY+paLq4P1I0vbhHDfkuIqvlYubFsoaGPwegTBM/5lF51PhZaKo2/EDhd2fKWB4FrE+biWXV8+/QsaGhvsfrD6VSnhRHaqIHjHNlO2CftW89NIr7S8Yo/51L05jsDb6o7Vlg/4my74iv7J2uq1dtdh+hz8xEd8cTpUaRvcm+3fnEO907sPrc6K2X2BfoklhvnxYYZInNOoSePO3/FtQVsYd6Qq2KlBW6ZtgAc4I+CG5g+FHTfJwjlIJrA1l+Jrf4e73VVkdHLSmHGcY2Di/PbhvrB1od0uzc6WtA22dcMP9Fw4j+NpzNjxis6axtUS7kabieILLo6r2GfXSLK+SBDU19XLbTfeJhd+60LZe7+95RNnfEJWV6yWzpYNu2GRlkDwjvpqXGVgoz7oD7FTL813MANzsOeYD3d8pd1oPx9Xs+AOV+lT+KtxFb4jeqkV/IDr4E/f8/kKnrQbdeF8LUZwXve67n4xoqG2wYqm0m9ebnlZRg4fKd09fbmKXcQBwdTHd9vm4G76N31SjRFmpxi6UlqMAFcbIxTcLVfNcTSw6OPgkW5ffAUPNP/Q0vP1b4Ri4XMoRoRiM/zGLvfhX19shqvYQM5C4yr3h6tg6tMVoi7UFdkE2lWLEdgI4e5ihIY7vsJVMEFuIr0DjXZhByUyA8PWD/NqNcFR2oR6+LgKZhZ3IzirJR/JGGG15wy26ZhpxVcNJuhT+doXG2z+IMYwJvows2Oi4ZE2JlJf4iG76EIxAtzZJccu6nRcZaxlrIfvvv5PvSxXzTnEdl9sdmMiPArFiMXti62GWmtNq5fvjqtajKC/0rYU+ApffAXMwFTjKmMi7abibmIEcZU2hHO+8cyNifDdl0cgmI58C7ghfKvtlqyEHE56AN0JwGabuc8oN6MhOY5ycD9xNuM4AZKOioSAz4YVkjODCmrcvkTLyi0YhV3ARozMp/xOEMUGflhRtFSyxnH7qQmjl2oFSz0q2JxDMgahGLz62UDQ0OABcNq2e8gEKfGT3/R2ZteZ6ejU15do0YnoYPjjw90FUXwN4U5bOF/7JY3FGQKwpL29ncicQ3CyXwZAwFHBzLWdhjttyv1DuNNxCAZWfC91H6v2bu5PUmJlKEwb9hPfM5hRV3eur+0Iog53XyAFd8vVonK5w4x24N433HKDfP/b35c999tTLjr/ImlqapKO7g5pqNkgN2DVj43mTIyrrs9YQUMPV6kHApEx3Dnu5arxOYY7XGWw53qNq/CQwKQp5YMZx+GJFiOczADHfQM++NI24OCLEfRbknCEi/EDNfzeipRgqbEBJ9or2lU/bP82sQobGu7uyxTBGFGMd1aw0sdVs6Wffu/EN32JtH0wMXWy56Tbvzjgk5jEYgT4+zjiYoTjuw93J2Pj4pX2RQ0XV71io8U3GrRNjKsh3O23Lg0OGu7ukzY2rtK/evt+DYG2rVtXZx8WuY9v5sMmYwZTbGmYda0vaA+G+M49sO+NzUVBXtqf424sTSYF+IqIJYmW1mfcmMhx2sUXI6gPdVFtJMZEL1eJL1WGqyYG+fq/TfKLD8pabMZPq00ViRHEZto4xFUrI2TazvcwBvec5A4yUdoXNVxc1bgK7vgawr2lujCuajHCjYkaV92n3ujbPq46LlQmdaisWrsJ+qHvcgGAVWM1jeIrnVWFDDJmg3tp3yliQEDsjMbSvs3F9fxqAcMmMIbcBBatUBdsaOdU91ZLS1XhCUEr9ttPRXV5HyGswF/VGlWrC7v4EBMsbewK4+60zUK4OwKHziFJDmEWwx3+0NFiNsBUO4djtH+s7RhQtHOy4O6e/NJ4zJk9xyZZ7zjoHfLxr35cRjcVNIN8PHDfKAtx1fFMCxgEVqvVE+Cqw107JwvuYGr7luGsz5ea9TX2ASbEd6e0HuzfcNUMkNpMQUdVh03GNRv2u39m4KDOdcPNN/M8oSYL32O42wchM5BmwV3zlXvYJDbwXUYbY0yipd2HZN/5GopVtHGwT0RwJ0657x1qcdX6YQY37bMmlqvmN9Y37QCpCFZmic2Oqza+V/RHhbHDJbAaZm6M0XytXV8ra6vWBvluH2zMj9a+tD2/nBf6lFvn8M5MY6L2CR73IJhlXNXOgYPgqvV/F+MGOyba+G1ijIY7eNrxzMQIrbhx3eHrO8/mIgFxVfp2rG86vofEVWNjoqurxlV877NGi8YMvcOlg3FOSHzTHVcRNAdi57iBZzA2YvfAduyc2HFsFIZI/6eGkveIYRbC3fkRs+GbQUxiqE1/unOy1Dd2Tux4Vtxj7+ftfVKfEUrW1fkREoH0+ZrcXcguQwJxSKB3i+OqZ6bytWh/sNXUpWMccU/0IT7HbGTlWazPxO7D8Uxc9SxfSOMe42rWGKHhHotVfTBTFEtieJQLd+vrJuJqbJyJxfetLq5m4GoMsyx9NzSexfpUkmcbG2fKydVYHMl3HYYYkx/bphBwiu9IOJBk8d29pWvNeoRc6mmb4kFe2RyBHIEcgXIikCda5UQzt7XFIeB2YbkkKynhYGcYcjHSLa5Nc4dzBHIEcgSGEgJ5ojWUWiP3ZZMiwFqRupo6uWPOHVa6wc1k1dWZdUF5yRHIEcgRyBHIESgDAkNSR4u1CENJ7yOEc8xXpxcyGH2brDZimjDbot5LiEeNNY1yzQ3XyKUXXSoHHnCgnHvOuVJbbxbfFovDK4QrM15bFFcDM3QxbRtgiZ2TlauxPuXupZ0X82MgvoZ8id2H4+Vq/5CdLH7EzonFqk2JWZZYFZpNjtW1nHUJrRdy7R+L77H6xuoTO561vuXi6mD7TKw+MT+z1ndT4B4bV/G1ku2tLCrmZLZLsrDMbjH1LPBmcSJaHuxMYltjujgbLB62W0yVReLcBxu+nU9WG4mvzBe3kWpaXNjAT99iVOuHkUPgHLY8+/xwvrK7hv/2ncPWUPf1bh+xuBY/8ddqWKV0VrgGLBxmvkZ3ftgty2ZXkM8P6pgFd/xoq+pfX1c/95V51+bJOrktxlkwC+HOTqAsNri3b2sv8hJcj69Z2k7jqsMdHqQ7Le3ArqubbrpJLvzmhfL2g94uXz3nqzKsflgfzRbawnHVx3en4xXiKvXEBm0b4nIWzPDBx1X+FsO9xFXT3zWuOn5oujWOq+z4stIsnv6d5KpvkaqzwXnsSkrbqKystP4Ra4gRYqSL0gtNnQ2N747Xts9UNBf0rVK+OhucE+VZMdalbQyEq1zrk13AV3ZH4YePqxzPEpvByHHVhzv3tnHVxDSrLWSkTXzFxRnf7jfnR4irJb6bnaM9Ff3vkYWr+G/jaoCrcCQUm7Nw1eEe47vbdejjEH64fuOVMymOq2DudjCGcPfKGRVtZIkRrt36cbUo3YCvWv8vjUXmfr7YjN+xMdHZcDv+fDGC/hgaE8HR6VGFuOr47lMvcH7EcMdGfXe9ylWOh3AHJzCFQxquNtFC1ItOhzYK/82FBBDfji6CH0JykME38HAdNtgOSYNru8KwYbdtonWVKvzdibMhrgZQvoQOG4DZXtnuDaJUnHN8wdwFL47jKzIQPkLwd87Rtrsz2EAYBCfx2ecrAz422HLrS7QcZtSFNvBhRhAFVw13rl3Vtcrev3a4ST5Tu/Hc4Ezgcr74hBOdOJvVyPIMovY+EdwZtCxmlf5E29kgkIJN+j7wj+vxFbE6nx9gxjkhrjrc2dKcTrT4rM5Vf71KLv72xbLPfvvI5776Oemq7pLmFjOwJwr3DvGdLcG0PRyg/TWxOuur+UGfy8dlBDFth6+o97a/qy9t5uMq9Yvh7riKnwjsERzShb+F+F7C3WjycE+Nq9hAosE34Du+E0vQ4kvbqK2rtVgY2V0rBNtd3S3r1vUViuTexAbw9vHd1Ys+w/20GMF9sBPjO/3Ph3uJqyaBwVcfHg4zK3hpYo2PzwxKNlZ5uEpdHGYhvuNjCHfan/5thZyVuMq9sMG52uBludplHhzQhFMepF3f1JKGWGymX8FnuIqttLiyG/BdnPElLg4zN06FcNfie4mrxSTZF1fhIAkssaq3t/9OaGwgWEodqJc2JiLAi6++yQf4bsdEM6ZpMcLFVfoVXOv3AGNs0+/butvU/u+46sRVtcmHLDHC8sdsxvfVlzgWGhPBgL5JIb6Cr6/EuMqYSF1CuHMOGoYaV2NjohXEBVPTpzSu2kRrSsOUUh1qKmtscNQE3OyJZtvvtIZpqo4WOj0McuPrxnvBcX9ERVXT0eIYCtUT6iaoNpgBGls7VtXRonHoQFMbpqo2UABHaEzT+7BZuUkGpzdOV22A1cT6iaqvdpu7acgZjTNUGwzA1Ge7mu2C9Q3hPqJrhCXkxLqJqg0EQqc1TrMKtr5CR6YzJjnRLzGI4E7ggQP4qhUCSkg3iA7ufNVsVFdW2xkCjash3OfOmSu//v6vZf+Z+8u53zxXJjYVMfPsLiSAwSFtCpq2JxiE+E7bjq8dHxTeYwCbXD852P4IAGpczYI7WNH2+OwrPHDxoBPiO/3BCSdqzlJfbKQTXHd+XVVBhXlc7TivibF1Y23bzmiaUfp4d/rELHyP4c5g3tTZFI4RZibACSP7nKUeI6tGytRGPc7Q/0mi0B/0FavmbvpEKEZkic1wlP6t4U485QEnFFfpe/R/TUeLARC+T24Ic5X+oGkTZYnNiH/CVS1WWRV1M15Nb9Bjc4yrDvcQ311CyVjjK4wRtD9c1doX0V2SnxDu2KZfajpao7pH2UQ5FiPo45qOFskgMUTr//jAmOg0+7T6kgiFMKuqKMx4M7b6ChyDqyG+EwMo4+r8McLZhauavENTV1MUd/rK+Hqdq1nGRDCdUj9F5Sq+DkkdrXJq06gjlzkQ04SJHcd2Vg2VkGYIx7TgyD2cHzEbMS2PrL6+1pjFcM3c/huho+V2Fx584MHyb2f+m9Q29p9lcvV3eMVwD63hSLafhmsMj3LZ2JTtbxNd89CmJSchruY6Wv1RG0iMCOEe0qbqw7MhoKOVRYtpU8SqUP92sWqo+BrzYyjFqlBcjfE0ydWNjTObKq72S7RCpM2P5Qhs6QiQZLndhWefc7Z013ZLS5uZou77hY8tvZq5/zkCOQI5AjkCQwiBXN5hCDVG7kr5EXAzhSi+n3feeVbC4eyzz5aaWrO+qn1trpNVfshzizkCOQI5AjkCCQTyRCunw1aLwLDhhfcfs2+fLeeed64gRuoU3+0BDutfT9pqcckrliOQI5AjkCOw6RDIE61Nh3V+p02IAAuhG+ob5LbbbpNvfvObNsnitWEuRroJGyG/VY5AjkCOQI5A38XwLCrTFpbZCQAzeHFc25HCOVZ/Y1h4miCLjZjQWMwGPobq4nwNnZPFBn5msRGqD9fHxPli9Y21HfXN6muoX8TukwWzmA27jd3gOhg/sHHrdbfKJd+7RA6aeZCcc+45UlNX08ekxd1Oa/mLldzIwPcsvsb6zFDi6mBwdxwL1SeGu8OzHJhtChtZ2j9LjAhxMdZnsuKexdfXGrMsMWIoxarQAnLqEvM11nZuLCoH7rF+l6X9s3B1MDHC4RETeY3lZ1lic5a4OljcY+1PPSoXty22gn44tLR9qf2XreK+3QvsBFjYutDutPM5xw1XdKywulz8ajsgFrYttMd9W1nZOo4faFIsb1/u1fshKcEPtglbDZzUV945jraR1Xwy/+3bweBssGXWCsl5vhTPFmJ80QiB/9xjWfsy1VfquahtkfUDnZJ0wTbXc5wtwD7M+BuYabhzLX6469M2HAZsy3bt5zunuatZkBkg9whhFsKdLfNsI6Zemg3wQKYACYf0OfAPH9d0rrG4+Wxge0n7EsvBNFfZnlxTUyNzbp4jF51/key7/77yyTM+KauHr5ae1g0CithY3rHc4s0WbS/fDeLgjhaMj++0f4yrtDf1sRpnRn8uXWgb2sXpxvj8wFf8aO7xcxUbaLmg16Ph7riKv/DNp00U47vDHf0rOBDiqhs8fHwP4U7bwR9i0vyW+dI4vFF61/X2MeP47tpejTNF3O0WfU+McDpawRhhcEd7ygowp2xYrprjtB9xNNR2Gt+pGG2xuH2xbTtfssXfY7E5GSN8gwvtT7ujLabFVctV+G76hFdHK8FVHqa9O8NM7Ijx3cZmo1+k4Y6vyMzQxzWu0p+WdSzzxlT3UMn1cLVtnRFx9sR3h7s2GLsYwbX0DV/M7OjpsO2/oGWBlU7wneNiM5wOjYlWa8vIIvhihNOW5JjPhh3PTNshR+DlqpEYgaPEVQ1TF2dCXM0aI2hDxgKfr+CAr3DdN7ZyLTGAQj7h06d0XMWWxtWsuCN5osUIp6OljYncG66C7YT6CVbaylcqAdVuHTYNRdIC6XzJCxc7hVyu8Q08zgbCfJoN7CC6hg1fooWeDAMSx9CeqVpnhM9Sxd0HG1qixSU0kBUs9XSypA3tnKreqpKvPvDQacFP/EU7yucriZarry/Rcn64f32+0j7OhoY7wmxa27mABinAy7V5sk6cw30gShbMNNydiGzIRkNFg72H7xxXB7RYgjbM9f3qa4J8XXWdXH/T9fLdb31X9t5vb/n2N78tjSOMjk1Xp9XdccW+WjQ26KhBvhe56sMdH2NcpYM6zK1gaWqyFz/oL7aNPQ8N+Gu5UfTDhwnHLe4m+dEwS3KVc3yJVozvFjPTdvRRzdckV30DWJLnPhv4yWBDfej/lqvD+idaIb7bNk7grgVRO4CafhPkewB3BgnahX5l/URuxNO+YOY44B3w13dLfVehX/oSLcdVez+FIzHcLVcN/0JxNRmbtcHLctUIc2qYZeF7LDZzb3jA1xSob7/By7St5WBPATNfcX3GtU0M95CNkjK8J1mH4zaumvivxUTGIeJHcEwkLhu+20TLwyEr7mzuv7ExAi03+oHDw9f/Y3EGjLLECPoE7af5amNusV95E61iDLB8NLhoM07OhsbVzLgbDmkxwo6J6/QxER7Sp7geLqqJ1ojqDSJ6ZKsQh5kGrTDjgbCm9qoLELlZzAbCaj51ee6LT464mvhac02zFav0PQFgg78DUsgPnlRDgqXUg6dmnlS0gp9N1U2FDu9Z8WY/W2SeMkIisJAePEO+MpsRwh3/GGhDNkgKqEuyzZP1grAE+qAfBncEHH2zM9ji7ySXIRs86YQES/GRIBuywVMIHTB9ztzZc+VHF/zIflbnU2d8SsaNKAjekYCli5t1DdbXzHiGcB8IV31fQsAnO5VuAmGQqzWGqwHB0iy4w1X8JaD7Cn03xneCFzyJcrVWF9+N4Q43CMD0GZucKitJY3x3MULDnXo4cVytf7cY3PGDQOortAnYa32Ka+B7SLCUOMU59CutZInNxLPtArgzcw+2xFQtrq7pXiNjaseoyyHca59YjMCGJr6ZJTbT/8FUU20nZhIDQrE5xlWHe8iG+3qFVt+G3gbb/rSdJlgKx/Aly5ioiXjTHxgvY7iHxHW5FrFgrf/DPcaqkGBpljGRGEIbx8ZeOKIV1+4hrtpcxPBde+OUBXdmrEJcdZ89C9UFTDmucZU6bpRgqVXUNYOcr0DekGga13Dc2lAiKMdjgmXOhtZQoWlad03M1yw28DNUX2eDczRC2BnFwFoh5+dgcY8JVmapbzkwi9mw7R/ZDmhtpARLnRgpEg5fP+vr0lLdYu1o2Mb8cHjFcB8sV2N+uD6ThWdq5DIHsnI1ZCPma5Kr2iuZLDbwwfft0Kx9NxlntPrE/MhqIxNXDV9jsSrG1awxYmNxT9a3HDZi9Q1y1fTbwfI91r5Z412ofd13NEO+xvxI4l4l/d/gZOn/Wc7JOq5uKtxjY2KIH0nMQuNq1lxkMDEiFlf7JVqxiuXHcwSGKgJJMVIkHNhduHztcjPXPVQ9zv3KEcgRyBHIEdgWEMjlHbaFVt5K61jSyUqIkToJB6a4tdfbWykcebVyBHIEcgRyBIYgAnmiNQQbJXcpjgDTxQ3VDcIHokmunBhprpMVxy4/I0cgRyBHIEdg0yHQJ9Eq7F0K6AoVdzfFtIdCx6mavYuxpZWYH5lsFH0NQVk2PyJaTJnuE8IjC+5Z65uhfQeFWTn8iPAQ/xprG+UvN/xFfnbhz+SAmQdYnaxkkuU4NBiulmyUg6sZOLLZcS9H2zmuxvi8Ptz/bR8fKrhvoraLcjWG6aaIqxn6ZjTelZFn0T5ThniX5R5l4eqWwPcytl0Ms1gaVDaeZehXWTgQOqeS3RBuESa7BVgE6f6WvpBFX5zDb+X6yn4Llqk4x3hto9lw56A/sr6CO/fdy2rvb3aTsKsEO+xQSpekDSQT0jbscWMfX7L4gdaKzwbXhmywIQA/2RHk8xU/OG4xM/5YjaNUfV1dhvUaHa3KQlskC8fdbjB2WVWt9/saqq8L4GCJL2xpTy8kHyhmg8Wd3Rw162r61Re7SQ6BRRITMGQ30y033WIlHN5x0Dvka+d8Tarqqux1Lgl3uIOZd8t8kasslvRxhGvACJvtPQb34g61ZNvQ/rR9Jq4aO1ZmQ2n/wXI1xnfHVde30gvNqS91cf3bFzQcV7lW61fg6TDjnlrf1HCvrChgynXgXtlb2V+bqNh2mTAbLO69xXhn+JquS4mrpl85rR+tfSt6KqR2eK0XjyRX1X5FbO41sTEWI8DMg7vjqharXHu7WNU7vP+GlFLczRBXabthFQrfI7HZctVIXoS46ngai+8aV/vE5mLc0MYZt3tNGyNsXDV10trX8TTmKzakom+8c/Esa33t2OzjqombDk/45tto4tqXWOeLzRx3Y6KLtRuDWWk8MxxhvE/j6riKbavJqWhTuTjDeKDFGfwN4k7/NrhvLFfx3+2A1XClHpWIl1EZKsd/c6G2o49EC7FBGsLXmZ1gqdtNoO0aQmiORkPXKL1ji22hiOqxdRPRMgbKfo1pBixs0ABsWU/bwA/ECBHFc1uJ0zasGJ0RRAXktur+wmqWVCbh4z6ahARbkPETfxFWS5PPdmYTMMCsZrjRBvJkzk4o1glN+jADT2zQgXxJIdc6cTbapd8gyn1N/gYm1Ift7mnyYgPhPba7cty3WwP/Y7gjRriya6XFTBMbxQbbiH3CuNSR4/iKSCM2XCeyekINDXLzX2+W7337e7LPfvvIp7/yaWmrapOVzStLTdwH96ImU7r9wd0JZ7pktt+DhbkzvjitnHRnZlt3Vq6Cp0+rBdwRI6S+9Csf7lbU1vgBXl6uGlwQLAV3fPLZcFxd1bHKKwLoEq0Q38GB445jIa5miRE+3JmVXN212mqLLW1bKu1V7dLT0/dhy/HdDioevrvZMNe+Gu5wHexDMYKYSKBu6mnqh6vlameBq5xHYu4TNQWz+u56ryCxG/BtjAhwFfvU27dTzuFo28b45IvNlquGH6G4Cm74QTv7Bq8+XDW6XKEYEeJ7LDbjK21D/McfHgz7PHwavhO3l3cu9yY3nJvkqk88O4m7JlXjbLg2TfMdPOAgshpwFT995xAjnO6bluBQTwpyJr7xzAmW0i4+G05clUTax1X6I2MU2GsioC4marHZJVqOq76HMYcZfmpC0G484xxfokWsor7EW5sDmITMV6xgbfHBu99DUGJM5B4a7rbfBmIzYyJ9RhsT+bvDNCQEXDmtcVqpDnR0nFK1WMxgzWA3rWGa1f3xFSfahUqqVmiwSfWTrPO+MqlukixrW2aVVrXCk9/Y2rGqvg26NE0dTZKsny/ZQkdL07+gc5AgzWiaofqBxtLEuokysX6i9xwGDALfjMYZ6qsQOjq4Uh9foeNBqBDuaLiQlIKrVqjr9IbpMrlhsvcUq5RtVG6nNk7daNzpFA0dDTK9cbpqAzzAXNMeor5o2/hs8IHoX1z8C9l3v33lO9/5joxtKGKW2l3ocN++aXvVDwZgOtn4uvHB+k5tmKrynbZHUT/G9/G14wuaUJ7iFPmnNEwJ+gEmGlez4G65aniqcYTASPAL8Z3jBG1NA8dxlbbTtl2jjRPCHaxIGGi7+rp6LyZZ+E6cCeFuHwrMIBiMESbOoE2kaQ8h3km/CtkgpnK9psXDQ4+rr0aAWGwGd+6DHxruE2snSve67iBXuT881PScLFfN4DOlUeeqxd30KS2ByRKbx1SPkcn1k+2vr9gvLZj+RFzVSoyrWXBn0GcQH1dX0ONLF8aIUVWjbJ/R2hddKvzVxghnk+PaQ717CA7FCHBH803jKkkLXA6NEXAHf7XYbMdEkyeEYoSdETPnaLpwbiImNCaOqy3gPaEunEeAh6bHmQV3y9V6natZxkTqOaV+ijquUo8+a7QKcwf6dwrd8SznqOw3B7LeZ2uyEdLICeEJBjnuBSY4nayDDzxYPn3Gp6Wmof/nKhxnkpj5Xh0mcdV4luPeH5msfXcwMcJdOxgbA2nfoRJnYjEiCx5Zzhkq9d2a/Mhx39CaA4kRodgc4seW1L/7JVqxiuXHcwQ2FwJJMdKzzzlbOmrMu/X2Dmmqa9pcLuX3zRHIEcgRyBHIEYgikMs7RCHKT9jcCKTFSGtqa2RV2yp1ynhz+5vfP0cgRyBHIEcgR8AhkCdaOReGJAJunQlrss477zzhszpO8d06rKsDDMn65E7lCOQI5AjkCGybCOSJ1rbZ7kO61mwMqK6rFj4Q7U2yhrT3uXNZEHBrM/74xz/KnnvuKTvttFOWy/JzcgRyBHIEtjgE+iRa7OTRdhPaSQQzALKSX1vlzznsVuhZ11/7KokMNrTdFZzHzkVtx4qzgw3tC/TORldV323B6dYJfaWcc/GRc0IFP/FXK2CFDW0nkMXM4O4+J+Oz43aCxHCv6gl/2I/6aF+Y5774yW69UInhTpvEMMOHxupG9TbjGsbJw7c/LA/+9UE5/B2HyxnnniFm81efgo0QHg53bbGl4yq7xrTCtTG+0/bsTIphxg5HrdBnYhsiYlzNgnuMq+zSytJ2VWZrv1YcV7WPEnMddW2oa5CnnnhKvve978mPf/zjPokWWDnl/xBmMb5TlxDu7OBkp2Ws7bSdnq7PhGKZ6998xUAr7NLC1yBXI7E5C+6WqwEeuvrAgyBXzQ7HGGahPoEfsdgMV0O4c3ywXHW4h+pCnAn1TdrexlXTh0OYdfZ0RjELjXkh+84weIQw41iMq6Edh9wny5gIZkg3aYXYEBsTQ2N7sr7a7ljb70ybZME9xNUsY2KMq/hSedlzlwnbnJ2OkkumvOQy/evVzsIWUV/iQKBA/4Ttm2x11QjKNlOO+0QgsfvUqqdkQcsCIaB7tVrMffDDEsfIL6Tv4/Q+0ANhu6vPD85hazcNClC+c9j+i56HJneBr3MXzZVnVj8jT61+yusr/qNxhR8+HS38QKfDDeo+P9i6ja8h3KkrgwZbzX148LcHlj0gP33qp9aO7xyr02RkMUKY0Xauw2q4syUWzDTcwYMOC/bJc4YPHy41NTXy4t9elLsuvUu2f+v2UvvBWvnlv37ZR0sJrNZ0rzG5V2Ersu8+Dnet7RxXuTYUTN2WaB/f+dvjKx+3UiS0rabVAlfxUxPWQ5oB7H3tQieNcdVpvlncjYSDDw/H1efWPidPrHrCy1X8R94jhBn9gUAJB7JwFU7uOGJHOXza4aW4i+TC8lXL5aGHH5JZJ8ySiqoKuW7BdTJ/zXxh/d3f5v/NSgj86LEfSU2j6d+9/UV8Q3x3mMVwz8L3UIwAd/hx/7L75ZJ5l9j6+fqExncHSBbcBxsjaP9HVzxqtQU1fSP8oT7EEN8DN/XNwlVsNFXrfEfqIBSb8fXOxXfKwraF8uDyB72CtdQhFJttjIhwNQvujGdajHBaXA8sf0B++PgP+8Uzx0PGV7S8NnZMzIr7yg4znhldSd94Rqyc3zpfHl7xsFz69KXquBrjamxMdLgj4YPMRChGaGMi7X/v0ntt98AfTY8zxtUsuINZiKuxGAGuf1vyNyvxg1xFWgjc9fFKAjNPGE74i3/VJ2zinVkbM7ZmrDAopgsg08gAow0ajnwc1xKtRa2LZHXVaquhoQ1eDGw2c0YYMyVJgR8AVNtdK+hxaAO+fWouPuVpiRY+ahoqbsAhMGm+MmPCffBDS7TcU4bWEUm0rM5WAHcGWcTqfEkSeFA/Ehu0unxJkOvMBEDO0TDjPPih4U4Q5Rg6OpoNcEMDB+zdOdhlkL3lxlvktz/4reyy5y5y3rnnSXet+UJAV4+sr9ow2HIuSXiF+dG46nDXNLLs/Yrc8SWnjtucRx/x8Z16vFL9ihUL5T4aV7FF22qYkdzyG8KdDk3gsuKbHr6XcDdJjA939xRJXfHV9wDDbCbnhTBzQqQEJy2IOk04eE9gHls1Vi677DJZunSpVFSYJK2hUZ599lnZZdddZNWqVfLE40/IztN3ls66TqmuKcyq2T5jtItq68xDkCfRCvHdxRhi1cgqHXeSBsQmNzZGuBkoeOww87WNj+/J2JkFdzQH4YDG91KMMH3X91CAD7Q9A74Wq5xP8F1LtLJw1fK9xuCuPATb2NxlYrNpX42rJPIaV8GdWBeKzTZGFIW1Na5mwT0UI1yiRftTl2Q8S8aP5spmm9xqD7COr+jkaQ9jWXDHH3DzxQi4A9eJIaFxNcZV+nMMdyusXZylDcUIbUzEB/fmRYurDjMw1biaFfcQV4kRoTHRxWX8sHHV/PhK5eHTNzxpYtACbZIlraDGyhOpVtznU0JTmCjTauKc2MX+P1f8U46ccaR6H540qVyoxM7h6W509eigjZivC1oXyG5jdpMDJx640ZjRiRicQlOYMdzpyAiWhl4NPrT8ITlux+NUYT33BKEJzXE8hinnMJNAsNYKT5rwI/166f4775cX//CiHH3o0TJx1kR5z47vUW0QNHhqGgxXwYuEI/TqN9b+DHzMaIa4GsMDH5ixYGDRCk92oXbJgvsrLa/I28a+TWZOmKneJ1Zfp2AfegXh4+rUQ6dKZ2enTVhJtqZNmyar16yWp595WkaMHCGnjT/NdPyCW+0T2+X6qutl1utniShvsbLwPYZ7Fj7HcOepGlyP3v7oIN8Z4ODrxsbVLLE51nbwfH7L/CBXY3HGctXMNpIUaKUcuL+w9gU5eNLBssfYPXSudppxxDx8amVjuZq0x0DrHlK1+zyy4hE54XUnqO1LUmi/LhBYhhJrOx7imF0LxYhYbH5+zfPStq4t2P58lQE/Q6/+Y77iJ/Eh9Ao6xjP3SatQXI35kQV3+q8q0F5s8FgMmLdmnhwx/QjZedTOKhf79HyIGUq0eGqy03HVBSVjX8EGWW8o0eKc0DotEg8HdKgTMchq73IJTNwnlIxxnOCndQB84JxQUsg5+KsVsACz3prCzJaGWSjRIrhlwT2WaEE86qMpGNNBOB4a0Dkewh0s3CusUNtxLOmH08ni24WnfOkUueyVy1RMOeDaTku0HO7ra81soLJFERuhRIsAyzkEN43vBOIsXK2vqFfXx3APd58QZm7dme+cLLjHuOr4EeJ7bPByXF1XU5gdc2Xy5A0K3y29LXLo1EOlyvxMmDBBtt9++z5Vcp9mgvPa2ib8iPGdc7LgHosRPJ1r8czNrIXIyjlwSRskSRqpa4yrodgM7q7vaoOke+0X8hU/uqq71EGyxNVAomVxN7Pn2oNjltgc46r99A2xeRCJlsNd9HkFe49QooWfrt9o7YuNWKLFOXBMi2dZYwTJjcZVcE9/zijNBe5DvNTGiCxjIjbcDJ6PaySNsTFR+5Zi0p4by7R1Wllx53WrxtUsY6J7FR7qV/muw+Bwnh/cFAgkdbK+ftbXZU3VGunsCC8e3RR+5fd4bRBo6zLJ+PoW++mqd7zjHa/NTXKrOQI5AjkCQwSBPNEaIg2xrbnhZvfcTNaBBx5odbJq6mqkvbld/S7ktobT1lhfnpi1WUbq6/sY+daIQ16nHIEcgW0DgTzR2jbaeUjVEikL1qzMnVPQyZo5c6acffbZUldXkEDwbRoYUhXInSk7Am1tbfKTn/xEPvWpT8mIEUbuxKxZbGhokKuvvlqqqqrkyCP19ZpldyY3mCOQI5AjUEYE+iRasSdNdzz0NBqzYQfSyBNtyL6rexYbMTvlsOHqo7VJOTArh40kbjFfQ/wqB2ZoKP35pj/LDy/4oU2yzj3nXKmr36AzFWu3rBwarK9ZcY/1x8H6MZD6ZvFlU7T/QGNET3eP/P73v5drrr5GjvvQcTJq1Ci55JJL5NOf/rT86Ic/6udyDNNyYRa7T87V/mzKgllW3DYFV2PxLsvxgfI9bbMcmGWxkSU+bKq6ZOFADPtN5WsW3ELnVLIwzW0NZusvC//c39IXch7ndK83In9mF2O/rczmKZTj/Go2AMaeYxaJsy0z/ZqAhZwcZ3Gn9cUjoMnTrrPhu489buwH/YjZwE9nw/jg3YZs/MfPEm4pX6krWDlfeV2mYca53roU/x7D3d1HwwNFAOfra4aZwZRFkBru7Djj57YbbpPvnv9dYeG7/ayOSbLAmmIlAYrtb+USjN8aZpyvYebwwB9fZ3QcAhPNBlt1Le5FUcu0H/A3M1eVPlHicqjPxLgawR2c8LXEVdOP01IUtl8W+e7aot9gUPRj2Ho/Vznf3QPM2GiitV0a98aRjTJ79mx593vfLV/60pekurraJlkXXXyRnP7500v8sAlUljhTPAceVK2v6hdnBmTD1MXHkX5cNb6l41k0ViVwBzP6h4aZFptd7HBc9eGehatgW4pVAT+yxFXqYuV7UuKmWWJzkqvwJC1F0seGEpsd7hpXbWwuxqoY31Xci/3Ojoum72x0XE2MiWx4UTk0iBiR5OpGj6sDiBHDe4fHxzODP+O9L666Ntd8dVx18X2wuci64YU8KFmycBVcXczzcdXZq1zYutACQoWXthudG/Mvq+h9mkA4gsYVxduZzbXLO5bbG7ub+zL3RW2LLDF9ukINFQ3C1k+2ma5oX2G1P9KFyuF3R0+HFWhLd0SOs6sB+QYHRNoG9aQuLVVmB2R3k1cUjx0aSzsKmPgSrcbKRivwuLx9uddXl1QubltsA6gv0cL2svaC4CX38w2A1A8bIdzZ2ku7/f/OzianjSCIwk2EI9szyAGBwLEN3IEFi9wlK4sNUjaRcoJkQ8QJWHCDLOMNkThGFuxtLwEF5CRKUl/ZbQ3j1zMoI1kC/3RXv3r9qnFSb8hReQyf156nCwMTQH4vO2LzHKZr2Azws8r/s3E3KwLWVcwLWLSyVrj6ehXOP52Ho+OjcPLhJNyu34bp/XSZHrpmyAst5OQ4HriL+YN7k8dJkqsRd3hGzOqgRXyRq1Ekn2wy+xQHLcYAOxfAkn8V+Sf3tP+muMrcrIfc0tlS9lkhPtZKd0ssmJKrFod36wquRr7DgTLucSznqu0p4mXddCCV10v31PRhmuyOZWxwB3+6ghRHnKs/xr4WKaIL3J2nViQp2ssYX+Xh8stlOH17Gm6+34Thu2EYvh+60WLxDy7GBXO6DhXf/TAG7oYZe4IOOKUR4AkmKY1wvtt+SeHuXLU5yB059kJb4gixMga6BuZqf7MXwZX51EGrTpsjb4iB+ZU2k3/a4eFIiqvghs6AqfI4JA6sWZyrCYNe1kAcjrt12iq+12kzsWJIjC7CVywJihcYwT94jJee0mYwGD+OQ2OtIbkaD1pRR1aKjD0RNQI8yFE5d7xOJ+fd77lWqfzyHkwxZ39mzsGU1x64p2pi1IjYEajG8HpmXMTTL/+Vr/C9+aIZJg8T1xowLe9/1h/HgKvUXcVV8kp9TnXQR42owp1xiTWlEeQfnpJX7Bfgm7oYA0xTXI01sQp3xkD38B5TGlFXE9F0MAVb+IomqWt9kA/8WwM64BEOgNpumTeJuMtCPPHxGekJY2MwMeK5196TYxAEAHZb3blNf2keNjDdSAg+JnDbf4VPCjcUts/Rhs5BayVWe91bw2dZ2M/3dRyLmxLTkouhnVovpMIYE8dXdRHrZnMz7LZ3k7GCBaQ8yA40OS0ODpyQzo1RBe5OAHvfIEvjDjlJ8uvM2ujLYyzwYp2M0ct68j2QisKz5ER50c/AnY1OYVvB3T47Go3CxeeLcPzmOJx9PAsbzfkBd61RuEO0/YjgYCJXFQcHHx5uRSAwi7gf5of6P17bPLRSUwgw8JN8tyfJS7/dl/YO5J/cczit5KrhiJmd3/5E5IaNyqOf9/+Pq7aWJO6LHDpXzSSYeN1MVtxGxU0grTCBmSZ8cFHj4d4zCa6CGfmXNgMRd8s7sRTHQBd2Bjvh+tt1uL8zzyD750OuTrvzNIc2Bi3sFDnJ9/lJyx948qVw95b6WV6pEawFrz2/ZZTIHQUYLzXP3Vzcnl4WQzRGdu8pgRlj8C1OFVfrtJl9xAGEPaNwJ//knYKf5OpCm3vtnrZ3wAD2Z6eWq3Criu912kys6DI1BI6scNXi4I9sTFxT2kzuo3FmiqtF3FN8jy7rbkgrcsstXvAuBHeZX4sD/zJqSTfrVtZE6h5GzmoeP+CaPldpBPtn6+WW5CqY8qUBupra/2Dmd4ZZ3/D3pWoiuFdpBLhjVrvVNJ9LwXcOWsyTqom8Fr2t3GC7wpMRrkp7h2fiTt6ruFpXE4kVrNAh+Jpq5PkHo6nFVhKS0EIAAAAASUVORK5CYII=)
Plotting these points on a graph and joining them, we get two straight lines.
From the graph, we can see that both lines intersect at (4, 3), hence the solution to this pair is (4, 3).
Question 6.Draw the graphs of lie pair of linear equations 3x + 2y = 5 and 2x–3y = –1. Determine the coordinates of the vertices of the triangle formed by these linear equations and the X-axis.
Answer:Generally, we substitute x = 0 or y = 0 in the given linear equations to get y and x. So, we get two points on the straight line. To find more points on line, take different values of x related to it, we get different values for y from the equation.
We get the following tables for the given linear equations.
for
3x + 2y = 5
![](data:image/png;base64,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)
for, 2x–3y = –1
![](data:image/png;base64,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)
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)
when y = 0, lines would intersect the x-axis
so the coordinates of triangle at x-axis would be ![](data:image/png;base64,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)
So the coordinates of the triangle will be
![](data:image/png;base64,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)
Question 7.15 students of class X took part in the examination of Indian mathematics Olympiad. The number of boys participants is 5 less than the number of girls participants. Find the number of boys and girls (using a graph) who took part in the examination of Indian mathematics Olympiad.
Answer:Let the number of girls be x and the number of boys be y.
Given, total no. of participants is 15.
⇒ x + y = 15
Also, boys participants is 5 less than the number of girls participants
⇒ x = y – 5
We have two equations we will plot them and their intersection will give the required result.
x + y = 15
![](data:image/png;base64,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)
x = y – 5
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Plotting these points on a graph and joining them, we get two straight lines.
From the graph, we can see that both lines intersect at (5, 10), hence solution to this pair is (5, 10).
∴ no. of boys is 5 and no. of girls is 10
Question 8.Examine graphically whether the pair of equations 2x + 3y = 5 and
is consistent
Answer:Generally, we substitute x = 0 or y = 0 in the given linear equations to get y and x. So we get two points on the straight line. To find more points on line, take different values of x related to it, we get different values for y from the equation.
We get the following tables for the given linear equations.
for
2x + 3y = 5
![](data:image/png;base64,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)
for ![](data:image/png;base64,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)
![](data:image/png;base64,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)
Plotting these points on a graph and joining them, we get two straight lines.
![](data:image/png;base64,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)
From the graph, we can see that both lines coincide.
⇒ They don’t have consistent solutions.
Solve the following pair of linear equation in two variables (by graph)
2x + y = 8, x + 6y = 15
Answer:
Generally, we substitute x = 0 or y = 0 in the given linear equations to get y and x. So we get two points on the straight line. To find more points on the line, take different values of x related to it, we get different values for y from the equation.
We get the following tables for the given linear equations.
For 2x + y = 8
y = 8 – 2x
For x + 6y = 15
x = 15 – 6y
Plotting these points on a graph and joining them, we get two straight lines.
From the graph, we can see that both lines intersect at (3, 2), hence the solution to this pair is (3, 2).
Question 2.
Solve the following pair of linear equation in two variables (by graph)
x + y = 1, 3x + 3y = 2
Answer:
Generally, we substitute x = 0 or y = 0 in the given linear equations to get y and x. So we get two points on the straight line. To find more points on the line, take different values of x related to it, we get different values for y from the equation.
for x + y = 1
⇒ y = 1 – x
for, 3x + 3y = 2
Plotting these points on a graph and joining them, we get two straight lines.
From the graph, we can see that both lines are parallel and have no intersection points.
Question 3.
Solve the following pair of linear equation in two variables (by graph)
2x + 3y = 5, x + y = 2
Answer:
Generally, we substitute x = 0 or y = 0 in the given linear equations to get y and x. So we get two points on the straight line. To find more points on line, take different values of x related to it, we get different values for y from the equation.
We get the following tables for the given linear equations.
for
2x + 3y = 5
for
x + y = 2
Plot it
Plotting these points on a graph and joining them, we get two straight lines.
From the graph, we can see that both lines intersect at (1, 1), hence solution to this pair is (1, 1).
Question 4.
Solve the following pair of linear equation in two variables (by graph)
x–y = 6, 3x – 3y = 18
Answer:
Generally, we substitute x = 0 or y = 0 in the given linear equations to get y and x. So we get two points on the straight line. To find more points on line, take different values of x related to it, we get different values for y from the equation.
We get the following tables for the given linear equations.
for
x—y = 6
for, 3x—3y = 18
Plotting these points on a graph and joining them, we get two straight lines.
From the graph, we can see that both lines coincide and hence there are infinite number of solutions.
Question 5.
Solve the following pair of linear equation in two variables (by graph)
(x + 2) (y — 1) = xy, (x — 1) (y + 1) = xy
Answer:
Generally, we substitute x = 0 or y = 0 in the given linear equations to get y and x. So we get two points on the straight line. To find more points on the line, take different values of x related to it, we get different values for y from the equation.
We get the following tables for the given linear equations.
for
(x + 2) (y — 1) = xy
It is a straight line
for,
(x — 1) (y + 1) = xy
Plotting these points on a graph and joining them, we get two straight lines.
From the graph, we can see that both lines intersect at (4, 3), hence the solution to this pair is (4, 3).
Question 6.
Draw the graphs of lie pair of linear equations 3x + 2y = 5 and 2x–3y = –1. Determine the coordinates of the vertices of the triangle formed by these linear equations and the X-axis.
Answer:
Generally, we substitute x = 0 or y = 0 in the given linear equations to get y and x. So, we get two points on the straight line. To find more points on line, take different values of x related to it, we get different values for y from the equation.
We get the following tables for the given linear equations.
for
3x + 2y = 5
for, 2x–3y = –1
when y = 0, lines would intersect the x-axis
so the coordinates of triangle at x-axis would be
So the coordinates of the triangle will be
Question 7.
15 students of class X took part in the examination of Indian mathematics Olympiad. The number of boys participants is 5 less than the number of girls participants. Find the number of boys and girls (using a graph) who took part in the examination of Indian mathematics Olympiad.
Answer:
Let the number of girls be x and the number of boys be y.
Given, total no. of participants is 15.
⇒ x + y = 15
Also, boys participants is 5 less than the number of girls participants
⇒ x = y – 5
We have two equations we will plot them and their intersection will give the required result.
x + y = 15
x = y – 5
Plotting these points on a graph and joining them, we get two straight lines.
From the graph, we can see that both lines intersect at (5, 10), hence solution to this pair is (5, 10).
∴ no. of boys is 5 and no. of girls is 10
Question 8.
Examine graphically whether the pair of equations 2x + 3y = 5 and is consistent
Answer:
Generally, we substitute x = 0 or y = 0 in the given linear equations to get y and x. So we get two points on the straight line. To find more points on line, take different values of x related to it, we get different values for y from the equation.
We get the following tables for the given linear equations.
for
2x + 3y = 5
for
Plotting these points on a graph and joining them, we get two straight lines.
From the graph, we can see that both lines coincide.
⇒ They don’t have consistent solutions.
Exercise 3.3
Question 1.Solve the following pairs of linear equations by the method of substitution:
x + y = 7, 3x — y = 1
Answer:x + y = 7
⇒ x = 7 – y …[1]
By substituting eq[1] in 3x – y = 1
⇒ 3(7 – y) – y = 1
⇒ 21 – 3y – y = 1
⇒ 4y = 20
⇒ y = 5
If we put the above result in eq[1], we get
⇒ x = 7 – 5
⇒ x = 2
Question 2.Solve the following pairs of linear equations by the method of substitution:
3x — y = 0, x — y + 6 = 0
Answer:3x – y = 0
⇒ y = 3x …[1]
By substituting eq[1] in x – y + 6 = 0
x – (3x) + 6 = 0
⇒ x = 3
Now, by eq[1]
3x – y = 0
∴ 3(3) – y = 0
⇒ y = 9
⇒ x = 3, y = 9
Question 3.Solve the following pairs of linear equations by the method of substitution:
2x + 3y = 5, 2x + 3y = 7
Answer:2x + 3y = 5
⇒ 2x = 5–3y
⇒
…[1]
By substituting eq[1] in 2x + 3y = 7
![](data:image/png;base64,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)
⇒ 5–3y + 3y = 7
⇒ 5 = 7
it is not true
we got this independent of any variable and it is a false statement, no real solution exists to these linear pair of equations.
Question 4.Solve the following pairs of linear equations by the method of substitution:
x — y = 3, 3x — 3y = 9
Answer:x – y = 3
⇒ x = y + 3 …[1]
By substituting eq[1] in 3x – 3y = 9
3(y + 3) – 3y = 9
9 = 9
The equation is independent of any variable and is true and therefore
the pair of linear equations are concurrent and satisfies all real values of x and y.
Question 5.Solve the following pairs of linear equations by the method of substitution:
![](data:image/png;base64,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)
Answer:multiplying 6 to L.H.S and R.H.S to the first equation to remove fraction
we get,
9x – 10y = –12 …[1]
multiplying 6 to L.H.S and R.H.S to the second equation to remove fraction
we get, 2x + 3y = 13
⇒
…[2]
Substituting eq[2] in eq[1]
⇒ ![](data:image/png;base64,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)
⇒ 27x – 130 + 20x = –36
⇒ x = 2
Using this result in eq[2]
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHUAAAAsCAMAAABsWwexAAAAAXNSR0IArs4c6QAAAIRQTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGa2OgAAOgA6OjoAOjo6OjqQOmaQOma2OpCQOpC2OpDbZgAAZjoAZjo6ZjpmZpDbZrbbZrb/kDoAkDo6kGYAkGY6kLbbkNv/tmYAtpBmttv/tv//25A627Zm27aQ2////7Zm/9uQ/9u2//+2///bI98T3AAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAACDUlEQVRYR+1X2VbDIBCFqm1cWrV1o9ZijWmS8v//J0xCIDZsKagP8sQhzL2zZYZB6H9F8wB7v/lQYPl8Fw3ZAsTI3V7/XF2/hNIWD1shwj6vML6A7eBixUp+Z+QeJNRJdWkWHEKrV/gMnEUnb6gmE6M0xc+oXsLdspVQJyif9ox3WF7Nd3mLMeNXc2x0Fe2+MyK2XE9NItRY1LI2QI0GxlUKrapMUw1OuLcbp/svxVpvXMkIWpV6GKSeYHjAkqyHJcZze3QaK3XWzm4aFFgeS+XVIpN7iuXSDGvdqAkox57AikpsCY/MImWrPBEZMd5WnigWVjpr/K9Y5YlM6OC4Nr5qM3JQGn7Jkt/qYtmdIHRYhuYwRI6JAlETs5/gj2SUg0u/qhOuSVBxYpuMp835E0K12C3MOdzmF3hE1ibIODAyrDYFREJdPS4JYaaOIhU+PrnnjGH+lf46RtFkMgTj6b7KsLldpqBm8OP1mkMKmu+YUKFzvfsM1vPIqoiqxdbOx0zXWSJsoMDNUBnYBiIYzl1Me2+gn/AwbwK3j/Y3UATTjiGorUEnYYTe63jupSEuAx9tBi1cI4Eutt56/DZe1rpGAh2ELF7jmNp74LvUJK6XrQug/901EoSh+d12jwR+OCG3PEaCEDj/u2ok8JeJcNM6EkTAH4awjgQJWN0jQQJS90iQgtQ9EqRh/fOoX3FcKZm2e0kGAAAAAElFTkSuQmCC)
⇒ y = 3
Question 6.Solve the pair of linear equations x — y = 28 and x — 3y = 0 and if the solution satisfies, y = mx + 5, then find m.
Answer:x – y = 28 eq[1] eq[2]
and x – 3y = 0
⇒ x = 3y
Substituting eq[2] in eq[1]
3y – y = 28
⇒ 2y = 28
⇒ y = 14
Now by, x = 3y
⇒ x = 3(14)
⇒ x = 42
∴ in y = mx + 5
putting values of x and y.
14 = 42m + 5
⇒ 14–5 = 42m
⇒ ![](data:image/png;base64,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)
Question 7.A fraction becomes
if 3 is added to both the numerator and the denominator. If 5 is added to the numerator and the denominator, it becomes
, Find the fraction.
Answer:Let the numerator and denominator of the actual fraction be x and y.
Given, fraction becomes
if 3 is added to both the numerator and the denominator
![](data:image/png;base64,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)
⇒ 5x = 4y – 3
⇒
…[1]
also, If 5 is added to the numerator and the denominator, it becomes
.
⇒ ![](data:image/png;base64,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)
⇒ 6x – 5y = –5 …[2]
substituting eq[1] in eq[2]
![](data:image/png;base64,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)
⇒ y = 7
by eq[1] and y = 7
![](data:image/png;base64,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)
⇒ x = 5
∴ original fraction = ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAcAAAAgCAMAAADpJZJvAAAAAXNSR0IArs4c6QAAADlQTFRFAAAAAAAAAAA6AGa2OgAAOma2OpDbZrbbZrb/kDoAkDo6kDqQkNv/tmY625A62////7Zm/9uQ///bHGcVowAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAUklEQVQYV2NgQAd8jIyMTDwMDHwcEBk4DRRnhQgJskDkhDjZGIS4eMB8IV6gNnYM03AKAE0DAeI1QFUKcYK0MTMIcfOD7QYBAYi74FxmfFxUGwEWtwI/+vNk+wAAAABJRU5ErkJggg==)
Question 8.The sum of present ages of a father and his son is 50 years. After 5 years, the age of the father becomes thrice the age of his son. Find their present ages.
Answer:Let the present ages of the father be x and the son be y.
given, The sum of present ages of a father and his son is 50 years.
⇒ x + y = 50
⇒ x = 50 – y …[1]
also, After 5 years, the age of the father becomes thrice the age of his son
⇒ x + 5 = 3(y + 5) …[2]
By substituting eq[1] in eq[2]
we get,
50–y + 5 = 3(y + 5)
⇒ y = 10
and by eq[1] and y = 10
x = 40
so the present age of father is 40 years and present ages of son is 10 years.
Question 9.A bus traveller travelling with some of his relatives buys 5 tickets from Ahmedabad to Anand and 10 tickets from Ahmedabad to Vadodara for Rs. 1100. The total cost of one ticket from Ahmedabad to Anand and one ticket from Ahmedabad to Vadodara is Rs. 140. Find the cost of a ticket from Ahmedabad to Anand as well as the cost of a ticket from Ahmedabad to Vadodara.
Answer:Let the cost of one ticket from Ahmedabad to Anand be x and the cost of one ticket form Ahmedabad to Vadodara be y.
given, 5 tickets from Ahmedabad to Anand and 10 tickets from Ahmedabad to Vadodara for Rs. 1100.
⇒ 5x + 10y = 1100 …[1]
Also, cost of one ticket from Ahmedabad to Anand and one ticket from Ahmedabad to Vadodara is Rs. 140
⇒ x + y = 140
⇒ y = 140 – x …[2]
By substituting eq[2] in eq[1] we get
5x + 10(140 – x) = 1100
⇒ 5x + 1400 – 10x = 1100
⇒ 5x = 300
x = 60
and by eq[2] and x = 60
⇒ y = 140 – 60
⇒ y = 80
Solve the following pairs of linear equations by the method of substitution:
x + y = 7, 3x — y = 1
Answer:
x + y = 7
⇒ x = 7 – y …[1]
By substituting eq[1] in 3x – y = 1
⇒ 3(7 – y) – y = 1
⇒ 21 – 3y – y = 1
⇒ 4y = 20
⇒ y = 5
If we put the above result in eq[1], we get
⇒ x = 7 – 5
⇒ x = 2
Question 2.
Solve the following pairs of linear equations by the method of substitution:
3x — y = 0, x — y + 6 = 0
Answer:
3x – y = 0
⇒ y = 3x …[1]
By substituting eq[1] in x – y + 6 = 0
x – (3x) + 6 = 0
⇒ x = 3
Now, by eq[1]
3x – y = 0
∴ 3(3) – y = 0
⇒ y = 9
⇒ x = 3, y = 9
Question 3.
Solve the following pairs of linear equations by the method of substitution:
2x + 3y = 5, 2x + 3y = 7
Answer:
2x + 3y = 5
⇒ 2x = 5–3y
⇒ …[1]
By substituting eq[1] in 2x + 3y = 7
⇒ 5–3y + 3y = 7
⇒ 5 = 7
it is not true
we got this independent of any variable and it is a false statement, no real solution exists to these linear pair of equations.
Question 4.
Solve the following pairs of linear equations by the method of substitution:
x — y = 3, 3x — 3y = 9
Answer:
x – y = 3
⇒ x = y + 3 …[1]
By substituting eq[1] in 3x – 3y = 9
3(y + 3) – 3y = 9
9 = 9
The equation is independent of any variable and is true and therefore
the pair of linear equations are concurrent and satisfies all real values of x and y.
Question 5.
Solve the following pairs of linear equations by the method of substitution:
Answer:
multiplying 6 to L.H.S and R.H.S to the first equation to remove fraction
we get,
9x – 10y = –12 …[1]
multiplying 6 to L.H.S and R.H.S to the second equation to remove fraction
we get, 2x + 3y = 13
⇒ …[2]
Substituting eq[2] in eq[1]
⇒
⇒ 27x – 130 + 20x = –36
⇒ x = 2
Using this result in eq[2]
⇒ y = 3
Question 6.
Solve the pair of linear equations x — y = 28 and x — 3y = 0 and if the solution satisfies, y = mx + 5, then find m.
Answer:
x – y = 28 eq[1] eq[2]
and x – 3y = 0
⇒ x = 3y
Substituting eq[2] in eq[1]
3y – y = 28
⇒ 2y = 28
⇒ y = 14
Now by, x = 3y
⇒ x = 3(14)
⇒ x = 42
∴ in y = mx + 5
putting values of x and y.
14 = 42m + 5
⇒ 14–5 = 42m
⇒
Question 7.
A fraction becomes if 3 is added to both the numerator and the denominator. If 5 is added to the numerator and the denominator, it becomes
, Find the fraction.
Answer:
Let the numerator and denominator of the actual fraction be x and y.
Given, fraction becomes if 3 is added to both the numerator and the denominator
⇒ 5x = 4y – 3
⇒ …[1]
also, If 5 is added to the numerator and the denominator, it becomes .
⇒
⇒ 6x – 5y = –5 …[2]
substituting eq[1] in eq[2]
⇒ y = 7
by eq[1] and y = 7
⇒ x = 5
∴ original fraction =
Question 8.
The sum of present ages of a father and his son is 50 years. After 5 years, the age of the father becomes thrice the age of his son. Find their present ages.
Answer:
Let the present ages of the father be x and the son be y.
given, The sum of present ages of a father and his son is 50 years.
⇒ x + y = 50
⇒ x = 50 – y …[1]
also, After 5 years, the age of the father becomes thrice the age of his son
⇒ x + 5 = 3(y + 5) …[2]
By substituting eq[1] in eq[2]
we get,
50–y + 5 = 3(y + 5)
⇒ y = 10
and by eq[1] and y = 10
x = 40
so the present age of father is 40 years and present ages of son is 10 years.
Question 9.
A bus traveller travelling with some of his relatives buys 5 tickets from Ahmedabad to Anand and 10 tickets from Ahmedabad to Vadodara for Rs. 1100. The total cost of one ticket from Ahmedabad to Anand and one ticket from Ahmedabad to Vadodara is Rs. 140. Find the cost of a ticket from Ahmedabad to Anand as well as the cost of a ticket from Ahmedabad to Vadodara.
Answer:
Let the cost of one ticket from Ahmedabad to Anand be x and the cost of one ticket form Ahmedabad to Vadodara be y.
given, 5 tickets from Ahmedabad to Anand and 10 tickets from Ahmedabad to Vadodara for Rs. 1100.
⇒ 5x + 10y = 1100 …[1]
Also, cost of one ticket from Ahmedabad to Anand and one ticket from Ahmedabad to Vadodara is Rs. 140
⇒ x + y = 140
⇒ y = 140 – x …[2]
By substituting eq[2] in eq[1] we get
5x + 10(140 – x) = 1100
⇒ 5x + 1400 – 10x = 1100
⇒ 5x = 300
x = 60
and by eq[2] and x = 60
⇒ y = 140 – 60
⇒ y = 80
Exercise 3.4
Question 1.Solve the following pair of linear equations by elimination method:
![](data:image/png;base64,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)
Answer:multiply 15 to the first equation to remove fraction
we get, 3x – 5y = 4 …[1]
Now let’s, multiply 18 to the second equation to remove fraction
we get, 9x – 2y = 7 …[2]
Now, let’s find eq[2] – eq[1] × 3
⇒ 9x – 2y – 3(3x – 5y) = 7 – 4×3
⇒ ![](data:image/png;base64,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)
Now if we put this result in eq[1]
![](data:image/png;base64,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)
⇒ 39x = 27
⇒ ![](data:image/png;base64,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)
Question 2.Solve the following pair of linear equations by elimination method:
4x — 19y + 13 = 0, 13x — 23y = —19
Answer:multiplying first equation by 13 and second equation by 4 to get same coefficient of x.
we get, 52x – 247 y = –169 …[1]
52x – 92y = –76 …[2]
eq[2] – eq[1]
155y = 93
⇒ ![](data:image/png;base64,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)
Put this result in 4x — 19y + 13 = 0 to find the value of x
4x — 19(
) + 13 = 0
⇒ x = ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABgAAAAgCAMAAAA/gEgKAAAAAXNSR0IArs4c6QAAAEtQTFRFAAAAAAAAAAA6OgAAOgA6Oma2OpDbZgAAZgA6ZjoAZrbbZrb/kDoAkDo6kLbbkNv/tmYAtmY625A627Zm29u2/7Zm/9uQ//+2///b2hz91gAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAdElEQVQ4T8VSSRKAMAij7nuV2uX/LxU7elE41B7MqUMgZEIB8rH3StWMjO8WMIXmF7hKILDhBwy3glpRqFuq2/Gt5VtFYIj8IFIU1tNFREzoeqco/NqLt/GnC5SSlQmSEm4IrhTkwsR8kzBrfiJsFPPwJbADQh4C1RJQDjcAAAAASUVORK5CYII=)
Question 3.Solve the following pair of linear equations by elimination method:
x + y = a + b, ax — by = a2 — b2
Answer:Multiply the first equation by b
⇒ bx + by = ab + b2 …[1]
⇒ ax — by = a2 — b2 …[2]
Now, eq[2] + eq[1]
x(a + b) = a2 + ab
⇒ x(a + b) = a(a + b)
⇒ x = a
by x + y = a + b and x = a
x + y = a + b (x = a)
⇒ y = b
Question 4.Solve the following pair of linear equations by elimination method:
5ax + 6by = 28; 3ax + 4by = 18
Answer:Multiply the first equation by 2 and the second equation by 3.
⇒ 10ax + 12by = 56 …[1]
⇒ 9ax + 12by = 54 …[2]
on subtracting eq[2] from eq [1]
ax = 2
⇒ x = ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAcAAAAeCAMAAADXVfSyAAAAAXNSR0IArs4c6QAAAFpQTFRFAAAAAAAAAAA6ADpmADqQAGa2OgA6Ojo6Oma2OpDbZgAAZgA6ZjoAZrbbZrb/kDoAkGY6kLbbkNv/tmY6tpBmtv//25A627Zm29u22////7Zm/9uQ/9u2//+2YkLolwAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAY0lEQVQYV42OSQ6AMAwDY8q+lL2FQP//TVIqcShCwpdR4kQ2UaxzACoiV3c0p/vtsqctACEnExm1kuuhFmSv968Fgn7fP4dbC5TSpxnJSrbXkQca6SmyYvspgAWspb+P03HeBalyA2GH2v98AAAAAElFTkSuQmCC)
by x =
and 3ax + 4by = 18
3a(
) + 4by = 18
we get ![](data:image/png;base64,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)
Question 5.The sum of two numbers is 35. Four times the larger number is 5 more than 5 times the smaller number. Find these numbers.
Answer:Let the larger number be x and smaller number y.
given, sum of number is 35
⇒ x + y = 35 …[1]
Also, Four times the larger number is 5 more than 5 times the smaller number.
4x = 5y + 5 …[2]
Multiplying eq[1] by 5 and adding eq[2] to result, we get
5(x + y) + 4x = 175 + 5y + 5
⇒ 9x = 180
⇒ x = 20
From eq[1]
⇒ y = 15
∴ The larger number is 20 and the smaller number is 15.
Question 6.There are some 25 paise coins and some 50 paise coins in a bag. The total number of coins is 140 and the amount in the bag is Rs. 50. Find the number of coins of each value in the bag.
Answer:Let the number of 50 paise coins be x, and the number of 25 paise coins be y.
Given, the total no. of coins is 140
⇒ x + y = 140 …[1]
also, the amount in the bag is Rs. 50
![](data:image/png;base64,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)
![](data:image/png;base64,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)
⇒ 2x + y = 200 …[2]
eq[2] – eq[1]
x = 60
and by eq[1]
⇒ y = 80
amount of 50 paise cons = ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIwAAAAgCAMAAAD3wGCZAAAAAXNSR0IArs4c6QAAAJlQTFRFAAAAAAAAAAA6AABmADpmADqQAGaQAGa2OgAAOgA6OjoAOjpmOjqQOmZmOmaQOma2OpC2OpDbZgAAZgA6ZjoAZjpmZmaQZpDbZrbbZrb/kDoAkDo6kGYAkGY6kLaQkLy2kLbbkNv/tmYAtmY6ttvbttv/tv//25A625Bm27Zm27aQ29u229v/2////7Zm/9uQ/9u2//+2///blCv9XAAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAACT0lEQVRYR+1XXXebMAy187F4a9esLNsasqwpWceSDTD+/z+uV7INCYeAH3KO81A9BIiRfLnSFUKIdxtgIJdSTl6EMFs5+RGbqXxtEeSLovoIUFHNgamTtTDpY1QoYARpWgpRfwUr2SIyGGxfqfXtgKH03ESazOaFmRHZPH4Bmz2U/YRc1St7HDCzV/MC6+gC8v51tLxMinKU8q7nTnP4JOWMtRsYrLtbqZb/2T2dFzqd/hlFUycQxFFRF+tYNtkJnXJ7CwlWf7ObaXcUolSOuJKClNL1pyEmU1Jn3nMny5YXgoKZdEZo6gSyZ+PHZMuIlPbyMhrDYEqJ7qU3qIYl5bg1jhMWjPg73bKhghewwuUzaBZMDiLJx/w889DbBxRTaDDc92+1aHbMpr9WaI+F87dRvGVcqmSnBcJgjgrE1Al+qvvWo06kfMClDcO/TYizE78D1NBuiIsvBUc+8R9lpkG3l3e/O3cfFdIUHKwDhoGhG3lmx18dxIxOuPYEtGxPWqNiCg3GaWqocWnJ8TSu5k5fqgNpKqVDfVQd+BUlsCdYD9++gH2e2YuYcZIMlbahdsLlQr7W7HjAkrD6HgnmmGgVXCkU84G8SEjn9XuhdqxzhbZdoUfp1cKrkwHqRpWjwfR3+xiVO+IMYprt6D+NM5JCQP0SmkxOnjeKXfyz6S2ubdsJDDa22dXXzZ6ryg/AUQfhv5+RSJgfgCMPwjmB8ZNV7AnLgnEDcOxB+AbBuO+UyGky2Qf3yuEvuKiDMH000ezjB+CAQfjq3eU94AgDb4bXRpxImkopAAAAAElFTkSuQmCC)
amount of 25 paise cons = ![](data:image/png;base64,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)
Question 7.The sum of the digits of two–digit number is 3. The number obtained by interchanging the digits is 9 less than the original number. Find the original number.
Answer:Let the digit at 10s place y and digit at one’s place be x.
∴ 10y + x = The number
Now if we interchange the digits we get a number that is 9 less than the original number.
interchanged number = 10x + y
⇒ 10x + y = 10y + x – 9
⇒ 9x – 9y + 9 = 0
⇒ x – y + 1 = 0 …[1]
and the sum of digits is 3
⇒ x + y = 3 eq[2]
adding eq[1] and …[2]
2x = 2
⇒ x = 1
From eq[1]
x – y + 1 = 0
⇒ y = 2
∴ the original number is 21
Question 8.The length of a rectangle is twice its breadth. The perimeter of the rectangle is 120 cm. Find the length and breadth of this rectangle. Also find its area.
Answer:Let the length be
x and breadth by y.
Given, the length of a rectangle is twice its breadth
⇒ x = 2y
⇒ x – 2y = 0 …[1]
and also, perimeter of the rectangle is 120 cm
⇒ 2(x + y) = 120
⇒ 2x + 2y = 120 …[2]
eq[1] + eq[2]
3x = 120
⇒ x = 40
and x = 2y
⇒ y = 20
The area is product of length and breadth
⇒ area = 20×40
⇒ area = 800 cm2
Question 9.An employee deposits certain amount at the rate of 8% per annum and a certain amount at the rate of 6% per annum at simple interest. He earns Rs. 500 as annual interest. If he interchanges the amount at the same rates, he earns Rs. 50 more. Find the amounts deposited by him at different rates.
Answer:Let the amount at 8% be x and the amount at 6% be y.
![](data:image/png;base64,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)
Where I is interest, P is the principal amount N is the time in years and R is the rate per annum.
Now,
I in case 1 of 8%
⇒ I =
…[1]
in the second case of 6%
I =
…[2]
The total interest is 500.
eq[1] + eq[2]
⇒ ![](data:image/png;base64,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)
⇒ 4x + 3y = 25000 …[3]
Now if he interchanges the amount he gets 50 more
⇒ ![](data:image/png;base64,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)
⇒ 4y + 3x = 27500 …[4]
Now, adding and subtracting equation eq[1] and eq[2].
7x + 7y = 52500
⇒ x + y = 7500 …[5]
x – y = –2500 …[6]
adding [5] and [6]
2x = 5000
⇒ x = 2500
and by [5]
x + y = 7500
⇒ 2500 + y = 7500
⇒ y = 5000
Solve the following pair of linear equations by elimination method:
Answer:
multiply 15 to the first equation to remove fraction
we get, 3x – 5y = 4 …[1]
Now let’s, multiply 18 to the second equation to remove fraction
we get, 9x – 2y = 7 …[2]
Now, let’s find eq[2] – eq[1] × 3
⇒ 9x – 2y – 3(3x – 5y) = 7 – 4×3
⇒
Now if we put this result in eq[1]
⇒ 39x = 27
⇒
Question 2.
Solve the following pair of linear equations by elimination method:
4x — 19y + 13 = 0, 13x — 23y = —19
Answer:
multiplying first equation by 13 and second equation by 4 to get same coefficient of x.
we get, 52x – 247 y = –169 …[1]
52x – 92y = –76 …[2]
eq[2] – eq[1]
155y = 93
⇒
Put this result in 4x — 19y + 13 = 0 to find the value of x
4x — 19() + 13 = 0
⇒ x =
Question 3.
Solve the following pair of linear equations by elimination method:
x + y = a + b, ax — by = a2 — b2
Answer:
Multiply the first equation by b
⇒ bx + by = ab + b2 …[1]
⇒ ax — by = a2 — b2 …[2]
Now, eq[2] + eq[1]
x(a + b) = a2 + ab
⇒ x(a + b) = a(a + b)
⇒ x = a
by x + y = a + b and x = a
x + y = a + b (x = a)
⇒ y = b
Question 4.
Solve the following pair of linear equations by elimination method:
5ax + 6by = 28; 3ax + 4by = 18
Answer:
Multiply the first equation by 2 and the second equation by 3.
⇒ 10ax + 12by = 56 …[1]
⇒ 9ax + 12by = 54 …[2]
on subtracting eq[2] from eq [1]
ax = 2
⇒ x =
by x = and 3ax + 4by = 18
3a() + 4by = 18
we get
Question 5.
The sum of two numbers is 35. Four times the larger number is 5 more than 5 times the smaller number. Find these numbers.
Answer:
Let the larger number be x and smaller number y.
given, sum of number is 35
⇒ x + y = 35 …[1]
Also, Four times the larger number is 5 more than 5 times the smaller number.
4x = 5y + 5 …[2]
Multiplying eq[1] by 5 and adding eq[2] to result, we get
5(x + y) + 4x = 175 + 5y + 5
⇒ 9x = 180
⇒ x = 20
From eq[1]
⇒ y = 15
∴ The larger number is 20 and the smaller number is 15.
Question 6.
There are some 25 paise coins and some 50 paise coins in a bag. The total number of coins is 140 and the amount in the bag is Rs. 50. Find the number of coins of each value in the bag.
Answer:
Let the number of 50 paise coins be x, and the number of 25 paise coins be y.
Given, the total no. of coins is 140
⇒ x + y = 140 …[1]
also, the amount in the bag is Rs. 50
⇒ 2x + y = 200 …[2]
eq[2] – eq[1]
x = 60
and by eq[1]
⇒ y = 80
amount of 50 paise cons =
amount of 25 paise cons =
Question 7.
The sum of the digits of two–digit number is 3. The number obtained by interchanging the digits is 9 less than the original number. Find the original number.
Answer:
Let the digit at 10s place y and digit at one’s place be x.
∴ 10y + x = The number
Now if we interchange the digits we get a number that is 9 less than the original number.
interchanged number = 10x + y
⇒ 10x + y = 10y + x – 9
⇒ 9x – 9y + 9 = 0
⇒ x – y + 1 = 0 …[1]
and the sum of digits is 3
⇒ x + y = 3 eq[2]
adding eq[1] and …[2]
2x = 2
⇒ x = 1
From eq[1]
x – y + 1 = 0
⇒ y = 2
∴ the original number is 21
Question 8.
The length of a rectangle is twice its breadth. The perimeter of the rectangle is 120 cm. Find the length and breadth of this rectangle. Also find its area.
Answer:
Let the length be
x and breadth by y.
Given, the length of a rectangle is twice its breadth
⇒ x = 2y
⇒ x – 2y = 0 …[1]
and also, perimeter of the rectangle is 120 cm
⇒ 2(x + y) = 120
⇒ 2x + 2y = 120 …[2]
eq[1] + eq[2]
3x = 120
⇒ x = 40
and x = 2y
⇒ y = 20
The area is product of length and breadth
⇒ area = 20×40
⇒ area = 800 cm2
Question 9.
An employee deposits certain amount at the rate of 8% per annum and a certain amount at the rate of 6% per annum at simple interest. He earns Rs. 500 as annual interest. If he interchanges the amount at the same rates, he earns Rs. 50 more. Find the amounts deposited by him at different rates.
Answer:
Let the amount at 8% be x and the amount at 6% be y.
Where I is interest, P is the principal amount N is the time in years and R is the rate per annum.
Now,
I in case 1 of 8%
⇒ I = …[1]
in the second case of 6%
I = …[2]
The total interest is 500.
eq[1] + eq[2]
⇒
⇒ 4x + 3y = 25000 …[3]
Now if he interchanges the amount he gets 50 more
⇒
⇒ 4y + 3x = 27500 …[4]
Now, adding and subtracting equation eq[1] and eq[2].
7x + 7y = 52500
⇒ x + y = 7500 …[5]
x – y = –2500 …[6]
adding [5] and [6]
2x = 5000
⇒ x = 2500
and by [5]
x + y = 7500
⇒ 2500 + y = 7500
⇒ y = 5000
Exercise 3.5
Question 1.Solve the following pairs of equations by cross multiplication method:
0.3x + 0.4y = 2.5 and 0.5x — 0.3y = 0.3
Answer:Given equations are
0.3x + 0.4y = 2.5 and 0.5x — 0.3y = 0.3
Change the given equations to the form,
a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 …(i)
⇒ 0.3x + 0.4y – 2.5 = 0 and
0.5x — 0.3y – 0.3 = 0
On comparing with (i) we get,
a1 = 0.3, b1 = 0.4, c1 = – 2.5; a2 = 0.5, b2 = – 0.3, c2 = – 0.3
Applying cross multiplication method which says,
![](data:image/png;base64,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)
Putting the given values in the above equation we get,
![](data:image/png;base64,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)
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![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Similarly,
![](data:image/png;base64,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)
![](data:image/png;base64,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)
∴The solution of the pair of equations is (3, 4).
Question 2.Solve the following pairs of equations by cross multiplication method:
5x + 8y = 18, 2x — 3y = 1
Answer:Given equations are
5x + 8y = 18, 2x — 3y = 1
Change the given equations to the form,
a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 …(i)
⇒ 5x + 8y – 18 = 0 and
2x — 3y – 1 = 0
On comparing with (i) we get,
a1 = 5, b1 = 8, c1 = – 18; a2 = 2, b2 = – 3, c2 = – 1
Applying cross multiplication method which says,
![](data:image/png;base64,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)
Putting the given values in the above equation we get,
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Similarly,
![](data:image/png;base64,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)
![](data:image/png;base64,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)
∴The solution of the pair of equations is (2, 1).
Question 3.Solve the following pairs of equations by cross multiplication method:
, 7x— 15y = 21
Answer:Given equations are
, 7x— 15y = 21
Change the given equations to the form,
a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 …(i)
⇒ ![](data:image/png;base64,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)
And7x — 15y – 21 = 0
⇒ 5x + 3y – 15 = 0 and 7x — 15y – 21 = 0
On comparing with (i) we get,
a1 = 5, b1 = 3, c1 = – 15; a2 = 7, b2 = – 15, c2 = – 21
Applying cross multiplication method which says,
![](data:image/png;base64,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)
Putting the given values in the above equation we get,
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Similarly,
![](data:image/png;base64,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)
![](data:image/png;base64,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)
∴The solution of the pair of equations is (3, 0).
Question 4.Solve the following pairs of equations by cross multiplication method:
3x + y = 5, 5x + 3y = 3
Answer:Given equations are
3x + y = 5, 5x + 3y = 3
Change the given equations to the form, a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 …(i)
⇒ 3x + y – 5 = 0 and
5x + 3y – 3 = 0
On comparing with (i) we get,
a1 = 3, b1 = 1, c1 = – 5; a2 = 5, b2 = 3, c2 = – 3
Applying cross multiplication method which says,
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAUkAAAAuCAMAAACS0hvMAAAAAXNSR0IArs4c6QAAAKJQTFRFAAAA///b//+22///2/+2tv//tv/b/9u2/9uQ29u2ttv/kNv//7Zm27aQ27ZmkLbbZrb/Zrbb25Bm25A6tpA6ZpDbOpDbtmZmOpC2tmY6OpCQtmYAkGY6kGYAOma2ZmY6OmaQZmYAOmZmOmY6kDo6AGa2kDoAAGaQZjpmZjo6ZjoAOjoAADqQADpmADo6ZgA6ZgAAOgA6OgAAAABmAAA6AAAA10U1cQAAAAF0Uk5TAEDm2GYAAALuSURBVHja7Vptd5MwGH0C1uJgGzNandSu6sCtdoqM5///NT/wWgjJs1DI5OR+5Nyb23tPCYEEwMLC4j/B5aNvSzgD1gd8XtkaxsPbX/CJmowQjy5HDGcNxBLEo+tlmM9/p03VJES5DywJZ47DkqMLEBgocromWXJ0+cZMHh7DgpoEL/uxMzBhZSGwe39RTQI3cY+xJIbg6C6qSefhm4l1AX9eRSEsqUl27zupgfnKSb88rJbUJIs2AAHO/8iByITpdJMZSzD3nRQNpApMzClsmyHi74+Let0IYrA4x+RsZgm0vCaT3Vf7lzzT9Lx3bQ0WFhYLR4QVZn1vn90Wp4IZX1Nplc4W9u42ZWth8XrA9bZ1+VJ2g7WD9IWaHzT5UvbVtYNw26Rt8vU3+XaL+enHYe+AmIeKcbRkEja7+oW4m0YloYuC6Al5vr8AfnJKxctuYJ0qmtSTDbNZErssUq399FQyuiCIppDnPsDprmFE2F/WlCnYXhZOoZLRBUE0hcXt3v6FTrpRvzHQZMMQs7uddG1pqpcV0gsy+IKkEGpWcv4m2eVjpjoLp6eS0oVNaglbF9ht3P657w6SubyRVbQ6ZTkMtcmSzpLYBS8Lpba1qiLVKpqtgN4PIhfWrEZYDlXe7huA998PVSYAAOfPNVwNzuW1rKaVsnoYZSY4oQe5D+BlodS2UtWkSkW0FdD7QaTChlULq6E4xi77UIxQnq7jeAPskw8A3t/BJluyklbLSIf0GpOC7mUbWN8VM5HMtlIVpLaKYCugC4IohHXcWlgMxT9vEZ/Kx0j1P8nw6RoAYPjAZFtW0SoZ7bhjY1LQbxF3b1IMpbaNqiS1VQTbPl0URC4sWS1h37l75Yq25O3SXnhwtEcn2fZJY22peSnOnSucVmSPNjISyVZAGt0kLS/FmUU/22uBYAcQqNcXPVpnGOWzp0Mn2QpII22peSnOHLF9Fs1JEQkrtR6tM4z6yXNKJ9kKSCNtqXnHO1tYzIR/oJrFNI/jjDkAAAAASUVORK5CYII=)
Putting the given values in the above equation we get,
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAI0AAAAqCAMAAAC5mSjBAAAAAXNSR0IArs4c6QAAAJBQTFRFAAAA///b//+22///tv///9u229v//9uQttv/kNv//7Zm27aQ27ZmkLbbZrb/kLaQZrbb25A6ZpDbOpDbOpC2tmY6OpCQtmYAkGY6kGYAZmZmOma2OmaQZmYAOmY6kDo6AGa2kDoAZjpmZjo6OjqQZjoAADqQADpmADo6ZgA6ZgAAOgA6OgAAAABmAAA6AAAAi+JU8QAAAAF0Uk5TAEDm2GYAAAHJSURBVHja7ZhhU4MwDIZTYGI7xVXUqkwH003Fjvz/f+eVMcd5A9oMPDyXr1xfnqZJyQvAKcYe0xc+GpbJCjfBWGDC+blsplGIa18iRs66LDNLQ42FY+JbaEAVHFgWEbbJsrUPIFxhWmmMpoxJWS9lZQo90kConxNiDegI2IL3SgOyIHYcy1IQ5rR6pPGWT9SWk5tARdAnDVtwL09pNF5+twz6pGEqBhBIK2NQlIXNlcEyLLiXIxFHOJ8xu9eI+H49xM0qUhhJsAUntPdgNFnyMJrUmJKb+3CKwdJb8L9Io3AXRH5HATwQlDUuAvZv+u2Q5gMwya2GgOFPyoXmFKP0fWy6QnzjdAGjcastS6BhwPn2fQpnMMndB9KacRQ6ObMd7g/S7H2fSssad51xa8ZR6Jn1+PrY1KX1GVUQDOdOwGG0VrGwoVEU61AJ2O9EvPo2NMarkWnU5mqFmHRXsffBwYKGZVaD+s8bdivAMrzxYao7Jcq3iILLqJXG+EayF69+EIDqbHGx20s7jUr942mkXeV1npQsf37ER9RNYJWbDprtg/CTV7aTaBxDnfpwYdlYh+/ive+ratOVpmYcQ/NpubTrcfKQ8l/iC3h+QUC9WRw/AAAAAElFTkSuQmCC)
![](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAH4AAAAqCAMAAABC4h9bAAAAAXNSR0IArs4c6QAAAIRQTFRFAAAA///b//+22///tv///9u2/9uQttv/kNv//7Zm27aQ27ZmkLbbZrb/Zrbb25A6ZpDbOpDbtmYAkGY6ZmZmOma2OmaQZmYAOmY6kDo6AGa2kDoAZjpmZjo6OjqQZjoAOjpmOjoAADqQADpmADo6ZgA6ZgAAOgA6OgAAAABmAAA6AAAAiyZqpwAAAAF0Uk5TAEDm2GYAAAFXSURBVHja7ZZBV4MwEIQniUBSrTGpRSVqFRUx+///nwdaLchD+yzZS+fEIbyPHTY7C5z0Xy0eNACIxYboRSeGZxv6OAMAT5fImu45mfKysFt8BcDSMrX5dq9iw4v3ic3v4/M2efF7eBEc+PAiVGDE+0ox4m2tAJPcfhs1AOTvGhA+LV6sWiJ6vQI8ERERQ/OddMD/On9miMbvwRwvkIXIxR+Jxvyp6B8hqpWl+fJrkE1mYIaPGiLMRc9WZQFANvSlPl+EWlnX92P04GSJ4+/IhqhUP4ZXr9a8vV3/DqAR/Wk/bIeLwQC/m6UzyZCbMh/y/qb3gUc0vzPXTbWeuNOymSW+u53ETF484d3WoBnwUSMLtZo6QlHLZp78ylYt0frIm4llm6JdK3HiZXPNiffOMOLNo2LEyzcNPrwIDjBR2yWP9bvRuuRrPsN677nxvFPPHBLEJwH4BAzaKA2UhiQhAAAAAElFTkSuQmCC)
Similarly,
![](data:image/png;base64,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)
![](data:image/png;base64,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)
∴The solution of the pair of equations is (3, – 4).
Question 5.By cross multiplication method, find such a two digit number such that, the digit at unit's place is twice the digit at tens place and the number obtained by interchanging the digits of the number is 36 more than the original number.
Answer:Let the required two digit number be (10x + y) where x is the digit at tens place and y is the digit at unit place.
On interchanging the digits the two digit number formed will be (10y + x).
According to the question,
y = 2x and (10y + x) = 36 + (10x + y)
⇒ 2x – y = 0 and 10x + y – 10 y – x + 36 = 0
⇒ 2x –y = 0 and 9x – 9y + 36 = 0
⇒ 2x – y = 0 and x – y + 4 = 0
On comparing with a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0we get,
a1 = 2, b1 = – 1, c1 = 0; a2 = 1, b2 = – 1, c2 = 4
Applying cross multiplication method which says,
![](data:image/png;base64,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)
Putting the given values in the above equation we get,
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Similarly,
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIIAAAAqCAMAAABIknNMAAAAAXNSR0IArs4c6QAAAHtQTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGa2OgAAOjoAOjpmOmaQOma2OpCQOpC2OpDbZgAAZjoAZjo6ZjpmZpDbZrbbZrb/kDoAkDo6kGYAkGY6kLbbkNv/tmYAttv/tv//25A627Zm27aQ2////7Zm/9uQ/9u2//+2///bKUL8dAAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAABa0lEQVRYR+2YWXODIBCAWdumtulhr9jLlESo/P9f2AWbRFBHwkD2Ie6D4ziyLHt9q4zNksADmxuA7DWBYm+VPHtjbAOP3guiv6jKa62zWtTRVfsq3JlgDCESAToQ2TfR9mbbbY7peGoLKtgJbi1zzEQOKzovqFInYnslkqZoK+Lih8iA/fkpixLT4KGmbU1YkNigr77IwjBvfLwHZqbq8u0zVd6uu85UJcCilnmqhj/IVGHTpe2yzsPjIz664sDUpthTxjkw112Wd8lvAcnbmrFVg0zlWZdwMl8x9T7J3cMJrLtJC4eZapugoyWSIa/D1PFAMIxEZYE/ZiAGmdrLvKa4f0kG3f+ZwmKqU5QG+ymHcT+miqSThxdTRdAsvn2erKLJcjEvYDl6VGRf1+8TxPKdKu8+Apwgl2vT0mIIMmIZNgZHMyH8GOdpgtszz9MLbtbMXtAe4Sf/trfjoD7x/wJckv7vCu8nhCv/AAWNGPzE4BqPAAAAAElFTkSuQmCC)
∴The solution of the pair of equations is (4, 8).
So, the required two digit number will be (10x + y) = (10× 4 + 8) = 48
Question 6.The sum of two numbers is 70 and their difference is 6. Find these numbers by cross – multiplication method.
Answer:Let the two numbers be x and y.
According to the question,
x + y = 70 and x – y = 6
⇒ x + y – 70 = 0 and x –y – 6 = 0
On comparing with a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0we get,
a1 = 1, b1 = 1, c1 = – 70; a2 = 1, b2 = – 1, c2 = – 6
Applying cross multiplication method which says,
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAUkAAAAuCAMAAACS0hvMAAAAAXNSR0IArs4c6QAAAKJQTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGaQAGa2OgAAOgA6OjoAOmY6OmZmOmaQOma2OpCQOpC2OpDbZgAAZgA6ZjoAZjo6ZjpmZmYAZmY6ZpDbZrbbZrb/kDoAkDo6kGYAkGY6kLbbkNv/tmYAtmY6tmZmtpA6ttv/tv/btv//25A625Bm27Zm27aQ29u22/+22////7Zm/9uQ/9u2//+2///b44TsaAAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAADnklEQVRoQ+1b/XfTIBSFzs3Fj05Xu6lbtTPTKeu0Scv//68JCSEkvACHlNCeAz/tZO++++4NXwsModSSA8mBE3Hg5ebHiVR63GXulvjsz3GXeBrVlfMnEsjJHOOLLcH4flIn6IrTlhmeTT/SQjmJciaGrqY1EjHGiy1CRQQjUTAnuSZyPWmP5GSVHnI5Oa9gDsJbZu+ugiQ2Ji2ze0S/TT+2QzqJSIwxRleXqOAjfPIWbHSj/e3nQKuZ0SQmKJ96dq4KCuYkG2L7RYT5ar/4cBtlYxfKSZqz1abA0y85KI9ByvtkmMmMbexmrE/iCKqKGHMKXWcY41dfJ5+dQxIWEaaUkHri5GaTc5wtUBy5AVnp6up76pKHMJhNz/MYe8lD1J5yJAeSA8kBVwfYl03Rwmx1B+qYnFbKPPQPFqMPTSfyxWHl5K4dK8UdgQOTD7NacyTaIzA8lZAcEA4Qv2NdT9jx2e4tRAd6ftD0hB2hlb4f7TQHPC3xhCUnNQeSk0Cf/L3Gs+7H4XKJ8cx8DEXOvGDKG+mT0M1bjK3nwH4oSauTQEKAkeMAJLP5EyKdWypldod2C4uTfrC2xj4JO47dUn7Rw9j8UK2ROgmgHzLSAVgd/HRPDXOH82VPWFskSMLvCRibH6qbsksCCBmqwAKsh7ta4X6hnyBqfzG4wYZdgUgQ6jvZp3VDWZa1niGa/sE/kCxAT0s8YVKk7gl9uWHneeY+6YdSnNVJdCHgi3AAKpnoY3Vm0pT7l607gytAC2vCpEqRxtwzWk9EOJ8nqz5popWoJkii2LW2unpjA8J1IVCGFijLa4GCWcwTbEA/v19WtfCrONzQTw9oM7gCSJgMEzCZxqqpDmhYq5t9zEkjbcMhgxpUm8dIC4TrQqAMEtiWJ4GNAoLZmvmrdkzcriP4DtGf/En5ZmgtVWEiTMKcLum1JHV4mV2j3Zd6xTHRNqXVQSrKgRYIB4QAVqpAKVcaVzOTj2uMz2vDmlqeM3z+UD0YvL2iwpqwBuYgiXdGSVKPykc2l/xbVBOl4Z6mRIkgFWUf3R2SOhwSAlip8AhmBagL7j/ZWDfKFWc/zM1JWa4W7kSrB42l1YXAM4ULc68W4makFjZSkhMtEDSSlnVPJ70uzDR/vVVeQ8ESF/ari1pYLw38Ytun/XAnWiBoJC3T6qTXhZn9Z4N6F43fTLPt75gfWlgvjc3IfrgTLRA0khYQAlY+ntlmSPp9cuBADvwHEDN5WBVnE34AAAAASUVORK5CYII=)
Putting the given values in the above equation we get,
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJUAAAAqCAMAAACN4OndAAAAAXNSR0IArs4c6QAAAIFQTFRFAAAAAAAAAAA6AABmADpmADqQAGa2OgAAOgA6OjoAOjpmOmY6OmaQOma2OpC2OpDbZgAAZjoAZjpmZmYAZpDbZrbbZrb/kDoAkDo6kGY6kLaQkLbbkNv/tmYAtmY6ttv/tv//25A627Zm27aQ29v/2////7Zm/9uQ/9u2//+2///bnD9HiQAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAB7ElEQVRYR+1Y2XLCMAy0Q8E9oE3PlIJLDc3l///ASrIDSaZAZlrHekAPIcwYZ706doMQl4jFgJEU0xwB2E/lbmKHfgMEpcKrKNTiOzae1vPN5ItAvTLCJOr0AeDU6YwTKGGSNVIlKY1cwmZEkp58PEq5iFXt2rUdBHHkSbKZvM/FTmEyOYSmaWAz+nBf4kfp6PGoXDvGD+1xuE8mXLmxAFGqWS62TBqxcCWPsKAFr1bxk3dBEJoBu72BVFPe8S55Cf3AQfvrZCWqDMvRJKDnW8li8GoUKAPN2khVe/CWt5vO0UBIpjmYuHE0Fqdbg6rjNQ497dBpINVmo4CqlnOkpJCYQcxlne7F1atrwxhqhmnnuC/Dg6qmvejIBghhTnK5U43Et35mkg4zpbpbnH/y4VBH7s5vgXBQn0hCscI60UPl7duQXf+8poDOc4JO1+MZFPXTc0fxQ2WQ5Alo8p66kXd30n612/f1GN7bZli76Kd/s2T9yWA1rEZiA4fFAVpR8gza15NTFBxuAlzJ8LCqJXSe8/ekPaFsht2hiWkcTWCuB2+vYRpWKRNvvEe9V7bB5xhtIbO3VH/u7tgZjYzTD/L/y8RF05/7bjYyC2+VmKHS8C7ILgzqR8Esh+U1zHXSUU7hS58ZKk4M/SOWH2s7ILKEAbLsAAAAAElFTkSuQmCC)
Similarly,
![](data:image/png;base64,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)
∴The solution of the pair of equations is (38, 32).
So, the required numbers will be 38 and 32.
Question 7.While arranging certain students of a school in rows containing equal number of students; if three rows are reduced, then three more students have to be arranged in each of the remaining rows. If three more rows are formed, then two students have to be taken off from each previously arranged rows. Find the number of students arranged.
Answer:Let the number of rows be x and number of students in each row = y.
⇒ Number of students arranged = x × y
According to the question,
If three rows are reduced, number of rows = (x – 3)
Then three more students have to be arranged in each row, number of students in each row = (y + 3)
Number of students arranged = (x – 3)(y + 3)
If three more rows are formed, number of rows = (x + 3)
Then two students have to be taken off from each row, number of students in each row = (y – 2)
Number of students arranged = (x + 3)(y – 2)
In above both the cases the number of students arranged will remain same.
⇒ (x – 3)(y + 3) = xy and (x + 3)(y – 2) = xy
⇒ xy + 3x – 3y – 9 = xy
And xy – 2x + 3y – 6 = xy
⇒ 3x – 3y – 9 = 0 and – 2x + 3y – 6 = 0
⇒ x – y – 3 = 0 and – 2x + 3y – 6 = 0
On comparing with a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0we get,
a1 = 1, b1 = – 1, c1 = – 3; a2 = – 2, b2 = 3, c2 = – 6
Applying cross multiplication method which says,
![](data:image/png;base64,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)
Putting the given values in the above equation we get,
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Similarly,
![](data:image/png;base64,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)
∴The solution of the pair of equations is (15, 12).
So, Number of students arranged = x×y = 15× 12 = 180.
Question 8.In AABC, the measure of ∠B is thrice to the measure of ∠C and the measure of ∠A is
the sum of the measures of ∠B and ∠C. Find the measures of all the angles of AABC and also state the type of this triangle.
Answer:Given ∠ B = 3 ∠ C …(i)
And
…(ii)
Putting (i) in (ii),
![](data:image/png;base64,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)
⇒ ∠A = 2∠C
We know that the angle sum property of a triangle states that ∠ A + ∠ B + ∠ C = 180°
⇒ ∠ A + 3∠C + ∠ C = 180°
⇒ ∠ A + 4∠ C – 180° = 0
Consider ∠A – 2∠C = 0 and ∠ A + 4∠ C – 180 = 0
On comparing with a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0we get,
a1 = 1, b1 = – 2, c1 = 0; a2 = 1, b2 = 4, c2 = – 180
Applying cross multiplication method which says,
![](data:image/png;base64,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)
Putting the given values in the above equation we get,
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Similarly,
![](data:image/png;base64,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)
∴ ∠ B = 3∠C = 3× 30° = 90°
∵ One of the angles of this triangle is 90° i.e. ∠ B
∴ ∆ABC is a right angled triangle.
Solve the following pairs of equations by cross multiplication method:
0.3x + 0.4y = 2.5 and 0.5x — 0.3y = 0.3
Answer:
Given equations are
0.3x + 0.4y = 2.5 and 0.5x — 0.3y = 0.3
Change the given equations to the form,
a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 …(i)
⇒ 0.3x + 0.4y – 2.5 = 0 and
0.5x — 0.3y – 0.3 = 0
On comparing with (i) we get,
a1 = 0.3, b1 = 0.4, c1 = – 2.5; a2 = 0.5, b2 = – 0.3, c2 = – 0.3
Applying cross multiplication method which says,
Putting the given values in the above equation we get,
Similarly,
∴The solution of the pair of equations is (3, 4).
Question 2.
Solve the following pairs of equations by cross multiplication method:
5x + 8y = 18, 2x — 3y = 1
Answer:
Given equations are
5x + 8y = 18, 2x — 3y = 1
Change the given equations to the form,
a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 …(i)
⇒ 5x + 8y – 18 = 0 and
2x — 3y – 1 = 0
On comparing with (i) we get,
a1 = 5, b1 = 8, c1 = – 18; a2 = 2, b2 = – 3, c2 = – 1
Applying cross multiplication method which says,
Putting the given values in the above equation we get,
Similarly,
∴The solution of the pair of equations is (2, 1).
Question 3.
Solve the following pairs of equations by cross multiplication method:, 7x— 15y = 21
Answer:
Given equations are
, 7x— 15y = 21
Change the given equations to the form,
a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 …(i)
⇒
And7x — 15y – 21 = 0
⇒ 5x + 3y – 15 = 0 and 7x — 15y – 21 = 0
On comparing with (i) we get,
a1 = 5, b1 = 3, c1 = – 15; a2 = 7, b2 = – 15, c2 = – 21
Applying cross multiplication method which says,
Putting the given values in the above equation we get,
Similarly,
∴The solution of the pair of equations is (3, 0).
Question 4.
Solve the following pairs of equations by cross multiplication method:
3x + y = 5, 5x + 3y = 3
Answer:
Given equations are
3x + y = 5, 5x + 3y = 3
Change the given equations to the form, a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 …(i)
⇒ 3x + y – 5 = 0 and
5x + 3y – 3 = 0
On comparing with (i) we get,
a1 = 3, b1 = 1, c1 = – 5; a2 = 5, b2 = 3, c2 = – 3
Applying cross multiplication method which says,
Putting the given values in the above equation we get,
Similarly,
∴The solution of the pair of equations is (3, – 4).
Question 5.
By cross multiplication method, find such a two digit number such that, the digit at unit's place is twice the digit at tens place and the number obtained by interchanging the digits of the number is 36 more than the original number.
Answer:
Let the required two digit number be (10x + y) where x is the digit at tens place and y is the digit at unit place.
On interchanging the digits the two digit number formed will be (10y + x).
According to the question,
y = 2x and (10y + x) = 36 + (10x + y)
⇒ 2x – y = 0 and 10x + y – 10 y – x + 36 = 0
⇒ 2x –y = 0 and 9x – 9y + 36 = 0
⇒ 2x – y = 0 and x – y + 4 = 0
On comparing with a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0we get,
a1 = 2, b1 = – 1, c1 = 0; a2 = 1, b2 = – 1, c2 = 4
Applying cross multiplication method which says,
Putting the given values in the above equation we get,
Similarly,
∴The solution of the pair of equations is (4, 8).
So, the required two digit number will be (10x + y) = (10× 4 + 8) = 48
Question 6.
The sum of two numbers is 70 and their difference is 6. Find these numbers by cross – multiplication method.
Answer:
Let the two numbers be x and y.
According to the question,
x + y = 70 and x – y = 6
⇒ x + y – 70 = 0 and x –y – 6 = 0
On comparing with a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0we get,
a1 = 1, b1 = 1, c1 = – 70; a2 = 1, b2 = – 1, c2 = – 6
Applying cross multiplication method which says,
Putting the given values in the above equation we get,
Similarly,
∴The solution of the pair of equations is (38, 32).
So, the required numbers will be 38 and 32.
Question 7.
While arranging certain students of a school in rows containing equal number of students; if three rows are reduced, then three more students have to be arranged in each of the remaining rows. If three more rows are formed, then two students have to be taken off from each previously arranged rows. Find the number of students arranged.
Answer:
Let the number of rows be x and number of students in each row = y.
⇒ Number of students arranged = x × y
According to the question,
If three rows are reduced, number of rows = (x – 3)
Then three more students have to be arranged in each row, number of students in each row = (y + 3)
Number of students arranged = (x – 3)(y + 3)
If three more rows are formed, number of rows = (x + 3)
Then two students have to be taken off from each row, number of students in each row = (y – 2)
Number of students arranged = (x + 3)(y – 2)
In above both the cases the number of students arranged will remain same.
⇒ (x – 3)(y + 3) = xy and (x + 3)(y – 2) = xy
⇒ xy + 3x – 3y – 9 = xy
And xy – 2x + 3y – 6 = xy
⇒ 3x – 3y – 9 = 0 and – 2x + 3y – 6 = 0
⇒ x – y – 3 = 0 and – 2x + 3y – 6 = 0
On comparing with a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0we get,
a1 = 1, b1 = – 1, c1 = – 3; a2 = – 2, b2 = 3, c2 = – 6
Applying cross multiplication method which says,
Putting the given values in the above equation we get,
Similarly,
∴The solution of the pair of equations is (15, 12).
So, Number of students arranged = x×y = 15× 12 = 180.
Question 8.
In AABC, the measure of ∠B is thrice to the measure of ∠C and the measure of ∠A is the sum of the measures of ∠B and ∠C. Find the measures of all the angles of AABC and also state the type of this triangle.
Answer:
Given ∠ B = 3 ∠ C …(i)
And …(ii)
Putting (i) in (ii),
⇒ ∠A = 2∠C
We know that the angle sum property of a triangle states that ∠ A + ∠ B + ∠ C = 180°
⇒ ∠ A + 3∠C + ∠ C = 180°
⇒ ∠ A + 4∠ C – 180° = 0
Consider ∠A – 2∠C = 0 and ∠ A + 4∠ C – 180 = 0
On comparing with a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0we get,
a1 = 1, b1 = – 2, c1 = 0; a2 = 1, b2 = 4, c2 = – 180
Applying cross multiplication method which says,
Putting the given values in the above equation we get,
Similarly,
∴ ∠ B = 3∠C = 3× 30° = 90°
∵ One of the angles of this triangle is 90° i.e. ∠ B
∴ ∆ABC is a right angled triangle.
Exercise 3.6
Question 1.Solve the following pairs of linear equations:
x ≠ 0, y ≠ 0
Answer:![](data:image/png;base64,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)
![](data:image/png;base64,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)
Putting these value in given equations, we get
![](data:image/png;base64,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)
![](data:image/png;base64,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)
So, the given equations transforms into linear equation in two variables i.e.
15a + 4b = 42 … (i)
3a + 2b = 12 …..(ii)
Multiply equation (ii) by 5, so
15a + 4b = 42 … (iii)
15a + 10b = 60 …..(ii)
Subtract (iii) from (ii),
15a + 10b – 15a – 4b = 60 – 42
⇒ 6b = 18
⇒ b = 3
Putting above value in (ii),
3a + 2× 3 = 12
⇒ 3a = 12 – 6
⇒ 3a = 6
⇒ a = 2
![](data:image/png;base64,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)
Question 2.Solve the following pairs of linear equations:
2x + 3y = 2xy, 6x + 12y = 7xy
Answer:Given: 2x + 3y = 2xy, 6x + 12y = 7xy
One of the solutions for given pair of equations will be x = 0 and y = 0
But let us find out some other solution as well.
Divide both the equations with xy,
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Putting these value in given equations, we get
2b + 3a = 2, 6b + 12a = 7
So, the given equations transforms into linear equation in two variables i.e.
2b + 3a = 2… (i)
6b + 12a = 7….. (ii)
Multiply equation (i) by 3, so
6b + 9a = 6 … (iii)
6b + 12a = 7….. (ii)
Subtract (iii) from (ii),
6b + 12a – 6b – 9a = 7 – 6
⇒ 3a = 1
![](data:image/png;base64,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)
Putting above value in (ii),
![](data:image/png;base64,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)
⇒ 2b = 2 – 1
![](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOsAAAAqCAMAAABlYFz2AAAAAXNSR0IArs4c6QAAAJlQTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGa2OgAAOgA6OjoAOjpmOmY6OmaQOma2OpCQOpC2OpDbZgAAZjoAZjo6ZjpmZmYAZmY6ZpDbZrbbZrb/kDoAkDo6kGYAkGY6kLbbkNv/tmYAtmY6tpA6ttv/tv/btv//25A625Bm27Zm27aQ29uQ2/+22////7Zm/9uQ/9u2//+2///bVS65GwAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAACwklEQVRoQ+1Yi1LbMBDUmRbUlqSNCW2JS0AUEA3ED/3/x/V0tvyY2rFKZGlgrBmYDDja27u901qMzWvOQDcDu/Vt2JR4CyC/gJPHkFz9BZAt7mVQrn4DCMsVJeUxAI9Q/b3iMQCPUDNXj8n2CDXX1WOyPUKFr2sU2DdJTwGoLQeADz+DOafgAQRj/paAU4DNW4p3IFb15zPAx7HWTifjqnYXFvhuEi2iG5YnY2Mk41PVVcAVy2M/7yniTNv0sbJNyHUIXwCc7qX75hEmr6ToJWO6QZ+4/sRYhiI7L+uqEh1AxmFMB/+pOdMiqi0wgSAqcaynfLu4L4NTydleaQyW8S+3ZbkzfsXUdVV4lZzuMROOqTKT6w5XjSVX7axhqas1EsDQg0UMsEAC9SK9Vr8QShA7I3JyY1LrrlrW+Gz4yYEOyfg5CevwqvnD2JP0/x1vz4aGaxGvmP6pqJOgMRHqFxbeYQAq6VSv2XkS55VChaZ2azRcpq49XFHlLNWVdrf0lrSkjiKP692Ly+/d+WytoUMPZrzkqvvVyBcJ93DVNyuiPS+s8Qc1LBCzjyvKp4hb3XJ0dkv9mHakodPVcJn1xksU8ddLpxeUkubBvypWAv9WC+5oolRJpJfTdKVuXLH8h55NRI7KLbXZWDcHsDB6dwGPGJ8wvcSru/B4i7Cu4BIt129ES9OAd/j5JYYNHqGwKZHUHUTLZ16TTW08jrS+na56YGA6ucnnq3dJrVoo+E3Bq/mZL+K4sDhwaKbaVP/oeKbcQCXLa6uy+uRqfK1j4jgwOhZreHt58rCFyMe9SONrHZO13k5G6LFHX5+stxt7cLr3sDFk3a/6pHZrBQ6hhuVKs4neG6Zeta+dGmho/3IO++Da+Nr3z7XxtcG4lv3qwQ41vjYYV8Abjt+u7y962RhfG4oqk9+23q5Cg5GcgS0y8Be9PUMW+fT46QAAAABJRU5ErkJggg==)
Question 3.Solve the following pairs of linear equations:
x ≠ 1, y ≠ 1
Answer:![](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOYAAAAuCAMAAAALD5VQAAAAAXNSR0IArs4c6QAAAKJQTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGa2OgAAOgA6OjoAOjpmOmY6OmaQOma2OpCQOpC2OpDbZgAAZgA6ZjoAZjo6ZjpmZmYAZmY6ZpC2ZpDbZrbbZrb/kDoAkDo6kGYAkGY6kLbbkNv/tmYAtmY6tmZmtpA6ttv/tv/btv//25A625Bm27Zm27aQ29uQ2/+22////7Zm/9uQ/9u2//+2///bJgvi7AAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAADGUlEQVRoQ+1Za3fTMAy1M1gDrIWWdTxGWGmAgUehSeP//9eQ/IpHEq+zXWds9Yed4xxP19fSlWSXkON40iewWa7H4J8WdndOT36mp5kYtp5esxFojgA7Bk0In9SwqfGUQlLDpsY70jxkKjx68zGd7lPxZjZKF8RSwvJVTil99vGQ4dljeyTYxCwfHBwL6HgrSj/5ERpAtT7zgtKJn/He/wpJUJUvzaFO0NpMs+iwrF/4J5kQmnXu6c09aPKiQ7MKSGr/Ac36nGaQQ79CLvWWGDv5sRJWCFHmRGzzXy8pnakw1xMU400uP8NiehbgzV5UazOtN+v8kmwQKcib2fSaMBSZMYcsi8mWlypI2kmdv1q3i/mVvzZ7UQkzn3EH6pDL062chdEEXQu9G3M6Vd2SnpioP3O5mASkIDzBLqpoKWTyMTSbBcAJPIsmxu8+w2RdqU2w0pq7gyYulIvbc9gHEtdo0wOo5vMtmsI4bDPImy1NbU5oc7OE9kklUjMRvPpo3rfCWTRt1A5N/nktTxRHJJranNKmcRZqU8drfJoWqqozQhAyaJu361akQTSlHOaW5vXB6ZgU5ltttouDtfkPKqQgtRmtUHRvRS8Jv4FaUOdz8s2zQ2AUcup3NG/MCdXNye69qhftRPDCKWzoC9kt/TNtLyokcb0ZbPZ0nYQaln0AB0PlzLz7kTcrSp+LMzLmhEU6+7NQNPSkRrk2C0rBCwA5+5378mT9qNbn+6q9sz7tc7iGT4ya+DlcsUyNOsJzOEo99tt/SenpljkvgiHN+oBiMGGcbkG6w3eIyKjYiPLClZAiAwrmvBDNn+OmFBkVAZldcjsOiAwo7QujzHHfj41a52f6AkUghNWwzjk2oKCJ3QN0ZpJzH2x01LteDqMDyqidkAoDd2jERm0u3rl/0IwNaKK2TJgRRE/vfBM7DM1m8frC9at4XFReQvqpoBtzhE/Ay5HDbOkElV15rAEFLANvYtfZPw73HF45pHI41FgHt7edKubr8d6oSRdCQjDVJClwWjBezK4evzOhatKpo2amPfMj2kM7gb+HIWcyu9g3cgAAAABJRU5ErkJggg==)
Putting these value in given equations, we get
4a + 5b = 2, 8a + 15b = 3
So, the given equations transforms into linear equation in two variables i.e.
4a + 5b = 2 … (i)
8a + 15b = 3 …..(ii)
Multiply equation (i) by 2, so
8a + 10b = 4 … (iii)
8a + 15b = 3 …..(ii)
Subtract (iii) from (ii),
8a + 15b – 8a – 10b = 3 – 4
⇒ 5b = – 1
![](data:image/png;base64,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)
Putting above value in (i),
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJ8AAAArCAMAAABRnqqxAAAAAXNSR0IArs4c6QAAAJZQTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGa2OgAAOgA6OjoAOjo6OjpmOjqQOmaQOma2OpC2OpDbZgAAZgA6ZjoAZjo6ZjpmZmY6ZmZmZmaQZpDbZrbbZrb/kDoAkDo6kGY6kNv/tmYAtmY6tpBmttv/tv//25A625Bm27Zm27aQ29u22/+22////7Zm/9uQ/9u2//+2///bznMfxgAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAACT0lEQVRYR+2Ya1uCMBiGWaXSQUvSjq6kjLJksP//59oR2NhkFw7wg3xILy95d/O8h+e1IDhdx6YA/px+WZiS2WZwWgzvdnWI7XJNP0TXq4EBMZzXCbIFOOeaokvGOdyVCpAqAZptEvlxMjao2x8uhhPjYQXfwAKi0FxgBZ8x//3pl56Z66vgC2KzwD0hSr4YyIsDV/gGLcCSQxXkWPgc8juofg58g9aftX9l3+SRYX731BzkGOP8w+8h6ZaLl2MwEJN/VOXpxz++rS7aMH9b2UdiGaqmskA0VWDPDeb9RYRy3F/wdgHASGqAQvtxGGp+ZWuA8lk87H8xeA2ySKwUefTUmi9/4GtTJl49NSLzwARwaeI5H1r45wqAW+2EBv0wHFHAPNLv8wCacr50umN8ZDLscKwr2ZRfDIkd5FEXMzdm+c3v10E59GvVZeC7CcvSpY81/l1M2u6c+hpRkZ2jsHFA+BKea4XPeDN+I6ULKzJjCEpHLbaWvW9cki/mVCoDrQK8XZLZobVrTT/xGKVJKXwuJzt9R/Ghov5U/WggM1+l4Fh+W68k1vzG1ZJhfOxPc/3FVDkUSv1kf7QtQIuYzAVTeQjzD3pm9qj/fKjpRzs8g/LXGMOj88VvAzMXxEwKOmG4X32Q6fcXaQVY48uWpGKLfwNkz1w4JF6NctjN2laKIu2db2KNZu3UK919qdmsuzvbJfKJz0Ul+3eOXz/VrA97Wv9318za/xGHRyzN5vBYXUTwbS4eGTWz9hjZTyjVrP3E9BlFNWufkU+xnBT4B0ocN/HnfdLjAAAAAElFTkSuQmCC)
⇒ 4a = 2 + 1
![](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGAAAAAqCAMAAAB7ha4AAAAAAXNSR0IArs4c6QAAAHVQTFRFAAAAAAAAAAA6AABmADo6ADqQAGa2OgAAOjoAOmY6OmaQOma2OpDbZgAAZjoAZjo6ZjpmZmYAZmY6ZpDbZrb/kDoAkDo6kGY6kNv/tmYAtmY6ttv/tv//25A627Zm27aQ2/+22////7Zm/9uQ/9u2//+2///bCga+rwAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAABC0lEQVRYR+2X2xKCIBCGoTI7SHaitDLztO//iC1jYzqpNAIzjbFXXggf/7/sAoTYqByI/cCkG/mGTm8GAdnqGhkF4NotQJpAa9EPWDQxWclwdimls4NUp/1hlA5E1CMkZ05SqoP7gtK1TqVNAPB5AqHRHY2Lz9xjTUKIG7wMbdwmoNWuCir5+BwMsY81WVegng/gb+0iB9otqgNSwfrCosGyMtcj+b6R5MFztQ+8YBU8mOYkaF7ja7p/v+lheTtJ1FswitcY0a+A9xWkIgA4KsA+3B2KAKzGZdXVW/uhKoBEkuaqCii2u/4HgSIATkHB5uZyACEmOBWnbWfILOztH8DxeCsY7SSM6Kb3BAQHETTajLiwAAAAAElFTkSuQmCC)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
⇒ – y + 1 = 5
⇒ y = – 4
Question 4.Solve the following pairs of linear equations:
3x + y ≠ 0, 3x – y ≠ 0
Answer:![](data:image/png;base64,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)
![](data:image/png;base64,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)
Putting these value in given equations, we get
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAF0AAAAqCAMAAADmiKeIAAAAAXNSR0IArs4c6QAAAH5QTFRFAAAAAAAAAAA6AABmADpmADqQAGa2OgAAOjoAOjqQOmaQOma2OpC2OpDbZgAAZgA6Zjo6ZmY6ZmZmZpDbZrbbZrb/kDoAkGY6kLbbkNv/tmYAtmY6tpA6ttv/tv/btv//25A627Zm27aQ2/+22////7Zm/9uQ/9u2//+2///bsSURQgAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAABRElEQVRYR+2W207DMBBEvQFiaGmgXBzqcjFtHMf//4OsHaUSTqTEFYN4YJ/bk9HM7nqF+K+TA/7zmuhyB3JEFy/CqQKE1yXLNvQMEh+w+uIDRnf16g0F7yqiVYOiM/cggc4IYWkDFN9KDN2rwLWgjvRhkJy6AsXqakm0BsHPCtMQtMfMT9K9StbQ36THdb9O0pjQ/l5T8Zgbmldl43W67cf0gvfemWu7lYnNE3R+bboqPA1DaRpq5iX6Rp/8V5+qnp3B0xepF+EP9zxds9oX0kf5lY1Y4MyYvsQZG0xbQA8/66rcxRpWsdvOp0rcWq85hwQ3I9u0524/Vonx4565rTOPoJ4OKNPbiLlpWhno+yeA7iD6ISefTA16E/sQU/amwdG7u52A0ePFwXQDaRg7rDEIPWYJc+YX6HFWUcXeI/Eo2Qn3C8PpGCMgPD01AAAAAElFTkSuQmCC)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFcAAAArCAMAAAA69uTkAAAAAXNSR0IArs4c6QAAAH5QTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGa2OgAAOgA6OjoAOmaQOma2OpC2OpDbZgAAZjoAZjo6ZmY6ZpDbZrbbZrb/kDoAkGY6kLbbkNv/tmYAtmY6tpA6ttv/tv/btv//25A627Zm27aQ2/+22////7Zm/9uQ/9u2//+2///bH7BgjAAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAABi0lEQVRIS+1WXU/DMAy0O8YKY+sGY4XAIC39IP//DxInaYQQc1xU0ISWh73serHPdnwA/+9onL3+SlZ6DG+9fZQGMYK334xITs7bLQ8D2FTXiDds6Hr2UmJ2J0sv8Jr9ojEqYzXR2fIAGu9FxJ+T63L2G03XvheLyXldP6jLRkIc9a23OfI5eug4XtIXUjr8gLcl7VK8Xt+1RAYIOnT5GvrbRN3Q9swz3zPxTldke55s974VrMB6VSLOJeNpSlsrvBC2uij/M+iswPQKKNum/hwZl/g/usu/w3+BMEHKkdNnyjMmdfjrgE72PlNvUo+gADKkR6bBOwKFO+gL1ikJIIFXZzuACmmzKFrfvDkQQDyvXZYu1Li527TpEEAib3QaKu0YBRCA1ooKVRztxD6m3AQQgtV2v0Vas0+ucAHE326ZhmIFtblJEEB83ahi/pc6Imm8BBBiCt7Ql0ITe8sqIYCEPnORuj7rrqzhMIrjFUCGucBVM8yFf4w53vAoJotryWmO5w8n+2gdDewDmsMcVdkVPE0AAAAASUVORK5CYII=)
So, the given equations transforms into linear equation in two variables i.e.
4a + 4b = 3 … (i)
4a – 4b = 1 …..(ii)
Add (i) and (ii),
4a + 4b + 4a – 4b = 3 + 1
⇒ 8a = 4
![](data:image/png;base64,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)
Putting above value in (i),
![](data:image/png;base64,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)
⇒ 4b = 3 – 2
⇒ 4b = 1
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
… (iii)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAH4AAAAuCAMAAADZc11NAAAAAXNSR0IArs4c6QAAAJZQTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGa2OgAAOjoAOjpmOjqQOmY6OmaQOma2OpCQOpDbZgAAZgA6ZjoAZjo6ZjpmZmYAZmY6ZmZmZpDbZrbbZrb/kDoAkDo6kGYAkGY6kLbbkNv/tmYAtmY6ttv/tv//25A625Bm27Zm27aQ29uQ2/+22////7Zm/9uQ/9u2//+2///bSFlv9wAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAACMklEQVRYR+1YaVPCMBBNUDEq1FbAiwoSsIr2yv//c+6mVEB6bJpO+dKdgWmn2X17vjRlrJdmGdhOV80UUctKGfSTCb/4aApvpYyg8XgTNIa3Us5Dbg4PFqyUtQdWFqyUe/g++U3n3rJvs9YbWLCelTJjaik455cvjeK3Um6EaKgUcT43VGl1eXRe+FicNfqO4NXXDecOY1jsT4FXsJtOOB91Er3yr0MlcYJjcbtiAVY8Fq9MLbqrvU707s9lTA5DzEYbtZdADplUcNQePvVchr+dN9ks/ZmgXtSM4N4M0Nd2CvyVR18I3+pAHxvD2ud5Bx/ahq9LfpR13WH04BG42E7t6xIXC5clTwiv8fAWtrJ3lkxbab06eLaGqf/x+DzGDkg9zl2m1nzgfItu8GsdhPZEarqy2N0LMAw2fInV8G3eLk7wY0E3J7EXNSG2Jan3TIfXoBLOVDBHwzAoeRVQPj6FHiIYlq4eObIky/EGfQAl5ZekQfmarQl2o7uQsiz3DidiDKYBGqJHTi4UfXIKsFLVkj6sSF4eWNkKfaCNxUjvyZiJk+0E6Uu91SZV+RAARB+YNFMEjIAdWJFb5MsIC1At8GqRiQm8JkSWzh4rjvWQfUm0Sa+9TlZGypDa1Csvburdz4ifPEzgIeEJtrWSWLWsCoUiK54dKxiwXoJHGgfQfZjpbF8okYj6wQXqTxjQui76/zyqnzpTk9T10BeEqaNaM16nfGdxvuCxMzQz9kLMwC8B/zNrYYBQ8QAAAABJRU5ErkJggg==)
…. (iv)
Add (iii) and (iv),
3x + y + 3x – y = 2 + 4
⇒ 6x = 6
⇒ x = 1
Putting the above value in (iii),
3(1) + y = 2
⇒ y = 3 – 2
⇒ y = 1
Question 5.Solve the following pairs of linear equations:
x > 0, y > 0
Answer:
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Putting these value in given equations, we get
![](data:image/png;base64,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)
![](data:image/png;base64,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)
So, the given equations transforms into linear equation in two variables i.e.
3a + 4b = 2 … (i)
60a + 84b = 41 …..(ii)
Multiply (i) by 20,
60a + 80b = 40 …. (iii)
60a + 84b = 41 …..(ii)
Subtract (iii) from (ii),
60a + 84b – 60a – 80b = 41 – 40
⇒ 4b = 1
![](data:image/png;base64,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)
Putting above value in (i),
![](data:image/png;base64,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)
⇒ 3a = 2 – 1
⇒ 3a = 1
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Squaring both the sides,
x = 9
Similarly, ![](data:image/png;base64,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)
Squaring both the sides,
y = 16
Question 6.5 women and 2 men together can finish an embroidery work in 4 days, while 6 women and 3 men can finish it in 3 days. Find the time taken by 1 woman alone to finish the work. Also, find the time taken by 1 man alone to finish the work.
Answer:Let W and M represent the work done by a woman and a man respectively.
It is given that 5 women and 2 men can do the work in 4 days.
So, work done by 5 women and 2 men in a day will be ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAcAAAAgCAMAAADpJZJvAAAAAXNSR0IArs4c6QAAAFdQTFRFAAAAAAAAAABmADqQAGaQAGa2OgAAOjoAOmZmOma2OpDbZjoAZjpmZrbbZrb/kDoAkDo6kGaQtmYAtmY6tv//25A625Bm29uQ2////7Zm/9uQ//+2///bTz76BgAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAWklEQVQYV2NgwAAywqwgMTEObjDNwCCKn5YRYpEAqWIEAi5M43CIgFQDAdHqkRRKsfGBeDIC7GBalJcfREtyyoBoaR4RGX5eQYhzGJnBCsHyDAzibEwi6PYBAGYKA1Xe9vSfAAAAAElFTkSuQmCC)
![](data:image/png;base64,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)
⇒ 20W + 8M = 1 …. (i)
Also,
It is given that 6 women and 3 men can do the same work in 3 days.
So, work done by 6 women and 3 men in a day will be ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAcAAAAgCAMAAADpJZJvAAAAAXNSR0IArs4c6QAAAF1QTFRFAAAAAAAAAAA6ADo6AGaQAGa2OgAAOgA6OjoAOmZmOpDbZgA6ZjoAZpDbZrbbZrb/kDo6kGY6kLbbkNv/tmYAtmY625A625Bm27Zm27aQ2////9uQ/9u2//+2///bjLFCZQAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAW0lEQVQYV42MSQ6AIBAEG1TcV1BUlP8/U2YOHiQa61JJp2aACD9ntNmyYQPLt71Jd6pEoIrfvSxUB373d2gLIVvADxNWqXl2OfsYO5IRCRvYVI+z1nDBsIrvHlxvGQNJwgEIiAAAAABJRU5ErkJggg==)
![](data:image/png;base64,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)
⇒ 18W + 9M = 1 …. (ii)
From (i) and (ii) equation,
20W + 8M = 18W + 9M
⇒ 2W = M
This means that the work done by 2 women in a day is equal to the work done by a man in a day. Substituting the value of M in (i) equation, we get
20W + 8M = 1
⇒ 20W + 8× 2W = 1
⇒ (20 + 16) W = 1
![](data:image/png;base64,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)
So, a woman do
work in a day.
This means a woman will finish the work in 36 days if working alone.
Now, put the value of W in (ii),
18W + 9M = 1
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAG8AAAAqCAMAAACKjvWNAAAAAXNSR0IArs4c6QAAAI1QTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGZmAGa2OgAAOgA6OgBmOjpmOmaQOma2OpDbZgAAZgA6ZjoAZjo6ZjpmZmY6ZmaQZpDbZra2ZrbbZrb/kDoAkGY6kLaQkLbbkNu2kNv/tmYAtpA6ttv/tv//25A627aQ29u22/+22////7Zm/9uQ/9u2//+2///b+uHQ1QAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAABqklEQVRYR+1W23aCMBBMtFporSKtvWEtqWJbQvL/n9fNDYmKD3Hh1HPcl6CwO8xksgsh1whUYPuYB2aGpFUpHW5CEsNy+MO66BMP3vKKF7ZVbVlXPS9cz0GP/UUuY0rpzQuuZJdcTSSUvmsCBaWzHpgA4PgXcGDtA46I+UI7rLxNu8Djk7Uvmph/JgAks1e14Ee5d17EPGcwwsrxDyaesoULHxDwSnAMmwkPj7U8HiBAMTCGNAF4Mov4/cbHO15399Knr7zsAzyY0YsZGBRx/07qSXgMGnek5xG/EMIidQAR+dWCHp6HxO5mN3j7Pqj7mbrogmCAoRspcptSOmqdePruXkM5C5DRN1IlbZ+4xWBFpOoeaKGMBZPEbfmTKV2Z1TgA3weqH+mQ2UgBiWSqf/JY/S8zPW8QY6eYri0SRbpmho5naDiG4+80cnzYMCfyy8xTtJBZ89jIrFFeLsGeH44uDiI092YhD8/uIuoxZrV6xjGgp69fgfpBWqjipWPg/NLYsNo9KHLyuxxIMYtnrdiE2MZTTLfYsW/xqmdTm9sVTuBkhcLrnxf5A1YMJFzs2AL3AAAAAElFTkSuQmCC)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFsAAAAqCAMAAADrltfPAAAAAXNSR0IArs4c6QAAAIFQTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGZmAGa2OgAAOgBmOjoAOjpmOmaQOpC2OpDbZgAAZgA6ZjoAZjo6ZmY6ZpDbZra2ZrbbZrb/kDoAkGY6kLbbkNu2kNv/tmYAttv/tv//25A627Zm27aQ2/+22////7Zm/9uQ/9u2//+2///b5NCCIwAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAABUklEQVRYR+2WW3vCIAyGSbc5u1NbdYduE0UnSP//D1yAUsW67XlKcDfNTXtB34bvSyCMjWEV2M6XiZTYz+BqnYatHlciFRszHtl920ZNLqxJlqgvm/ccAK6f03Tm/1N1CfBm0xAABXE+CJ/skIlPajTT1cJ6Lm9nsWz1sAo3rqvPEqFN/WIecSFPKlNXS46HsZx8DWUby3yEcGRLdJMXOmDzH5b/sTGRucJwgeymnqq7dcg+zzgkeHgLVvbYeIssCiyUgXr/qglTOepEoMkZLxnjU1PgA/PuROnXYNmqH88+9ajrefMSm3hcd+DXfqTa3ANkpOdsN1KJ7JWxDeVWu5EKe8IowO05RxZufPBs+weyaEcTCUYT4mvTjz1bvDSJ0X7MVDlWrGjvLCpRvN7GxaZO4aUuXZ3QzuHHeZPXoDNQwNOOtneORirT8zcfVC5envMNz30agTizduwAAAAASUVORK5CYII=)
So, a man do
work in a day.
This means a man will finish the work in 18 days if working alone.
Question 7.A boat goes 21 km upstream and 18 km downstream in 9 hours. In 13 hours, it can go 30 km upstream and 27 km downstream. Determine the speed of the stream and that of the boat in still water. (Speed of boat in still water is more than the speed of the stream of river.)
Answer:Let the speed of the boat in still water be x km/hr and the speed of stream be y km/hr. It is necessary that x > y.
The speed of the boat in downstream = (speed of boat in still water + speed of stream) = (x + y) km/hr.
The speed of boat in upstream = (speed of boat in still water – speed of stream) = (x – y) km/hr.
Also, we know that![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIkAAAAhCAMAAADatXh4AAAAAXNSR0IArs4c6QAAAKhQTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGaQAGa2OgAAOgA6OgBmOjoAOjo6OjpmOjqQOmY6Oma2OpDbZgAAZgBmZjoAZjo6ZpC2ZpDbZrbbZrb/kDoAkDo6kGYAkGY6kLbbkLb/kNvbkNv/tmYAtmY6tmaQtpA6tpBmttv/tv//25A625Bm27Zm27aQ29uQ29u229vb2////7Zm/7aQ/9uQ/9u2//+2///bVvDI0gAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAACYklEQVRYR+1WgXKaQBC9JWogbdoINdXQ1jYaLcQ24Yrw/3/Wt3uCgU7GI3ixM+3NIKu5sI+3b/eeUv/XKzCQB0TkjTOkSkf8ebqlzxL1I2AQeySpfwo8jETlwc3T3IvTISnjUGkCMfco1nSFgo2y7Rci+XUdeMBZ4usoUcUnorEbxoSTMgYLqE5+caPSUDEnRTRTS2BLvblajDLsyPI3CUPeRg0CjwZrhyQUJGXsfYRiqupoRmKu/OKWU4rAQZWLtdeJKPZhglIIks0l16iNxADqujTRYR4ZyXay6x2QwPyjGo/au1XpMKmQFJGflXeZ3NY1ms1bosHMApc+jEToHnBJ8sCb/8I3ZEc4LWIarsnH3/kKVT6hIRDg5tWpWUNlbDOGWs1pgb3TFtG5yt9bDETnSHZ0aPK+rQLT3UzatB3QVXNgdXphm80pyTGhMHXefVcb7qk8mGFkQ56NoPx8WCc2CZ/fsyTpeiDh2ceKgdjNdGoEZkO1FjwJZKErjrW216zwXSIkLyKeNX8GFjqp4XUL9m8ip6d55fQsKSJ5TiNgbBZI+pOD/G1O8FBDTh00kBy/OsUHFIaZqHTiG4nwagUWk60PJzxwcR4itznHWX+aZqq8RxvXAY8/yOnwtO8DhY8maR5NlwEN5vws+ArTT1VQosHGPwPHUKrXcEV+d0PrAIk42L8CycscLB/oR1akONgNGsHY1/mKvK+YDe686/P9IpyIYURLLvjiGeHOu9ogqYyj79S7dkTyMu/aZ1CZU/Sxsq5yX563vWvPDLb/zg6WDS3bVxjykK+md7V90r+37zfus0pYH2tCVwAAAABJRU5ErkJggg==)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKEAAAAuCAMAAAB3aYmJAAAAAXNSR0IArs4c6QAAAKJQTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGa2OgAAOgA6OjoAOjo6OjpmOjqQOmY6OmaQOma2OpDbZgAAZgBmZjoAZjo6ZmY6ZpC2ZpDbZrbbZrb/kDoAkDo6kGYAkLyQkLbbkNvbkNv/tmYAtmY6tmZmtpA6trZmttvbttv/tv//25A625Bm27Zm27aQ29uQ2/+22////7Zm/9uQ/9u2//+2///b0QpufQAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAC7ElEQVRYR+1Y2XbaMBCVnM1taOO4SVtMUgKkCwZar///a70zWoxFWuAktvzAPFjCls3VrFcjxEmGrIF6IiHB6CeBzGUyQKxVfCVEOZG3LsLi3WwYcOsJEIp6Erh48p07ngArhKIIr2BksnL5AKtH2YKsf7as1++ljMgBZLIKaYa1d1iBlRiDr93D1gir+DIDzATavMzqR/xgHeJpVs9pVoSjmUhpC0U4FmWc8LjBG12LRkjAGGEVwyOLDxoh/zvdNhc8nGMlCY367U5BugjFQurAtn7YICT4vAWIGg3cDjG6VhYCnnexhOcxwnpzH7J7Msw2QvJUuGqH4PjTNlLIuNqrNgibxg+3rLyrw67hNQh1NMD/4YJsO9YhX9pWNq7Xhwtqd+KMTdmDawpH6h3uFeGteP6GS/mZVMv1hu4hoMeifp7hDsZV5+lGV72bXxyz8LjyAdcbitYFJT2kxehPLBN+VsWSag/y4sUUCzAGX1Rcn6R7DQyTk6h9KwIyZISDISDGUYoRxVwjioD8oKRvyccWA+mDebg+7OpM/dYplcnHaCpSlWb7YR4KIeUhI21e2UJoUioD3mEe83984s0DOeXsb2QXoS7yhzKPZuuvmbV2eTDCnpjH8VZu6XB7bz1Z+b+R0jBhIvN8/Ohd3GyjCMiMM3ZDPpiB9MQ89quACAjzDufSLfNQp0IfQkfP8/EB/+yrzqbBlE+j+yGa88L+lW+6QkUXHwP2iTeEWn25DJ6+Nw0GVd5th4FaDh97OMm/pKVURkp/uQRFWRPjt+W9NakffUUKMgMfPDgQ2CNteW9NPDLS8l6d5llFAGXLuzPx5Ids4E1IZ2VGmJ4tNatqTagZ4hMh4XJ1CEimW6MnnhBWn6gHYxFS8rHl3Zl4ythoGGfoDFLPRsLUK26LmMaCnVBah7v6qXrrazRXKZhzeR3Kc+orNI0F02GoEfDR79ATRJMkPRlxXyXben5CeISyXl7KXPPVXzl94CgN/AVw5F9wWoprfgAAAABJRU5ErkJggg==)
In the first case, it is given that boat goes 21 km upstream and 18 km downstream in 9 hours
![](data:image/png;base64,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)
⇒ Time taken by boat in upstream and downstream = 9 hr
![](data:image/png;base64,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)
In the second case, it is given that boat goes 30 km upstream and 27 km downstream in 13 hours
![](data:image/png;base64,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)
⇒ Time taken by boat in upstream and downstream = 13 hr
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Putting these value in (i) and (ii), we get
21a + 18b = 9
30a + 27b = 13
So, the given equations transforms into linear equation in two variables
7a + 6b = 3 …. (iii)
30a + 27b = 13 … (iv)
Multiply (iii) by 9 and (iv) by 2,
63a + 54b = 27 …. (v)
60a + 54b = 26 … (vi)
Subtract (vi) from (v),
63a + 54b – 60a – 54b = 27 – 26
⇒ 3a = 1
![](data:image/png;base64,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)
Putting above value in (iii),
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAN8AAAAuCAMAAACf6TyiAAAAAXNSR0IArs4c6QAAAJZQTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGa2OgAAOjoAOjpmOmY6OmaQOma2OpCQOpC2OpDbZgAAZjoAZjo6ZjpmZmYAZmY6ZpDbZrbbZrb/kDoAkDo6kGYAkGY6kLbbkNv/tmYAtmY6tpA6ttv/tv/btv//25A625Bm27Zm27aQ29uQ2/+22////7Zm/9uQ/9u2//+2///bUR7YkAAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAACk0lEQVRoQ+1ZbVubMBTl4lQ2Wy1WN0WrODc2Z6Hk//857wUhbUkQk1zifMiHPtWSc3LuOxAE05osQBZ4Wt77MwQ7+eYcDn770sdPXsweM2/6xiH3pw/DZgTyESj08T8C+QgUkz7GCjf57/827qf3X+hxfsmYycUqAoAvPxhDUA/tldyL4g9DmgNcV4fJPI6vnNbIX/WNMWFx6tBhF1Htv0mfqfUzWATBJj5a1wDi71eAuSmYdl8DSwn3J6oJinOAE+m/XysIGQrwrj6RHK9F6rybSNgi+naP1QSjsoiuAnHb5l84e6z/z7/apKioUuxs9bKUXcG+fmDMpBQysr4QeBkfS3XOeDsG29WntGeruf/Lzl6pr4wXqAU11nJlfak0966BxM1lHSzxtMRRxHmYtLCVIAt9BtErEhl4lCjSqM7iU8IO1+csPrf15SR1QHy+04wSttWHkhFkP/8oZjlXES2CzfcmKZwxSdhKEP0ZZOFdsFm29ROwcP+0rGADzvuA3e85dp6ADWxByV3GgE1XPEA4/xc1A+jZCuDQ4y3WANtMlzBZQCTOCz7TSc1g3evD4n20znSNUiT0M+aa+3qhJN7XJ/nN7IW7aEbVm00k1fDlXp6auHMQe35CyPTdqnqalm1Nk8aG3N+oIu4a2p6/iE7a26juqEFtXNywlPttYgok5fjvgL/3mRxNJ/mbw7KZU7vEXf/Z85cXl31v/DBAUp6irSBWFAJbfgy+nbu1fVeU8ekFywtdFbFCnyW/SLG25PRoQ7fSvh/NApN2KYlVhdyKHxtMiP6jMVK3cpb31WpilT4efqk252gO7/A7Jz/mCFNzGCaQm18k81uf7uPmxyyZvfWgaJgnzK7yzW926mlX1wIv+LpGKSJydTcAAAAASUVORK5CYII=)
![](data:image/png;base64,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)
… (vii)
![](data:image/png;base64,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)
…. (viii)
Add above two equations,
x – y + x + y = 3 + 9
⇒ 2x = 12
⇒ x = 6
Putting x = 6 in (viii),
y = 9 – 6
⇒ y = 3
Question 8.Solve the following pair of equations by cross multiplication method:
![](data:image/png;base64,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)
Answer:![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Putting these value in given equations, we get
4b + 7a = 16… (i), 10b + 3a = 11 ….. (ii)
So, the given equations transforms into linear equation in two variables.
Multiply equation (i) by 5 and (ii) by 2,
20b + 35a = 80 … (iii)
20b + 6a = 22….. (iv)
Subtract (iv) from (iii),
20b + 35a – 20b – 6a = 80 – 22
⇒ 29a = 58
⇒ a = 2
Putting above value in (ii),
10b + 3× 2 = 11
⇒ 10b = 11 – 6
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Question 9.Mahesh travels 250 km to his home partly by train and partly by bus. He takes 6 hours if he travels 50 km by train and remaining distance by bus. If he travels 100 km by train and remaining distance by bus, he takes 7 hours. Find the speed of the train and the bus separately.
Answer:Let the speed of the train and the bus be x km/hr and y km/hr respectively.
We know that![](data:image/png;base64,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)
![](data:image/png;base64,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)
Total distance travelled by Mahesh = 250 km
In the first case it is given that he travels 50 km by train and 200 km by bus.
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Given that total time taken by Mahesh to reach in this case = 6 hr
![](data:image/png;base64,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)
In the second case it is given that he travels 100 km by train and 150 km by bus.
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Given that total time taken by Mahesh to reach in this case = 7 hr
![](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKUAAAAuCAMAAAB+ginzAAAAAXNSR0IArs4c6QAAAKJQTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGa2OgAAOgA6OjoAOjpmOmY6OmaQOma2OpCQOpC2OpDbZgAAZgA6ZjoAZjo6ZjpmZmYAZmY6ZpC2ZpDbZrbbZrb/kDoAkDo6kGYAkGY6kLbbkNv/tmYAtmY6tmZmtpA6ttv/tv/btv//25A625Bm27Zm27aQ29uQ2/+22////7Zm/9uQ/9u2//+2///bJgvi7AAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAACuUlEQVRYR+1Y7XbTMAy1MugCrB0t6/gYZaWBDTwKTRq//6shKXacLYnTtfLODtQ/eo5d+epavpLcKnUcTxaB9XwVxZck7vYCTn5GYCmKW4xvdQyW4rhRWOLtyOLKonnxyOLKoh1ZRkjyoy4Fgyqrd53E6T2CuGaZAsCLT4IxZKhYuNI8I+LpA5p6DvC5l1oPsF82C4DTXU92iOTzAMu+uuT9lbMWyeJVT8YcwrJI+2M5zNIsWizzvrx+FiyLC0gwn79hXncrUJ/8WLKJUta2StlfrwEmVjZuQkK8S6tlNIazcCw7gb0/H8sivVJrwuqPZTK+VZoEVtsSycXpxmQ2/n5SpG9W3thcB3XZCax0vexZZqMNeQyyRMGykGtbl3j3ZMcT+zGtjFU4e+iMbWAu/bxcsyxnCMiILpZ089WwXCpdoom3HWBJhpVx4xgtXJs9LWDn7x5L3o1EBrKHwZwt63I9xx5lU7ieMK1Olu3C1zh+E/ghS/NlVR2Zxi4sna3VZR0q0qW77L1YNoDrELtYlu9WXqCB7GGdTL1M6kO5C+W9XpfeeBddPgDG7LH+KnEy6xyulLnDOlOkU/W9q7BrwGy+oa21LStuqrYfbKHxE6ZFU3T2VW3nwRzvBMYKYf1Rh3T1Ectb8hHTEStm0tko9NslwEvmX9uyOUz+zCwLNylIqqRfDBDiTX6noUbeDdzw19byceV/jUAGMNro0MNwr8hQKow2qFuhHyvUnM0i8OLaiyVCcssUIslwullm92PV2sU9Re/8+B7yWqRn7kU2ZPqY76nqY7d7zJagreAP0oYfanM53brMKC/fx/j/klpdJiZ3foOIyacRuHJ2fin1H7PJMHNybHHyIxNDxbqWYCypE4uPPIqQpGnmMXQkShLVLlmGRLl5MLOYXD/7UGJHg7FYrYwUyX8X9i/XsVxSFd2TRQAAAABJRU5ErkJggg==)
Putting these value in above equations, we get
50a + 200b = 6 … (i), 100a + 150b = 7 ….. (ii)
So, the given equations transforms into linear equation in two variables.
Multiply equation (i) by 2,
100a + 400b = 12 … (iii)
100a + 150b = 7 ….. (ii)
Subtract (ii) from (iii),
100a + 400b – 100a – 150b = 12 – 7
⇒ 250b = 5
![](data:image/png;base64,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)
Putting above value in (ii),
![](data:image/png;base64,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)
![](data:image/png;base64,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)
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Solve the following pairs of linear equations: x ≠ 0, y ≠ 0
Answer:
Putting these value in given equations, we get
So, the given equations transforms into linear equation in two variables i.e.
15a + 4b = 42 … (i)
3a + 2b = 12 …..(ii)
Multiply equation (ii) by 5, so
15a + 4b = 42 … (iii)
15a + 10b = 60 …..(ii)
Subtract (iii) from (ii),
15a + 10b – 15a – 4b = 60 – 42
⇒ 6b = 18
⇒ b = 3
Putting above value in (ii),
3a + 2× 3 = 12
⇒ 3a = 12 – 6
⇒ 3a = 6
⇒ a = 2
Question 2.
Solve the following pairs of linear equations:
2x + 3y = 2xy, 6x + 12y = 7xy
Answer:
Given: 2x + 3y = 2xy, 6x + 12y = 7xy
One of the solutions for given pair of equations will be x = 0 and y = 0
But let us find out some other solution as well.
Divide both the equations with xy,
Putting these value in given equations, we get
2b + 3a = 2, 6b + 12a = 7
So, the given equations transforms into linear equation in two variables i.e.
2b + 3a = 2… (i)
6b + 12a = 7….. (ii)
Multiply equation (i) by 3, so
6b + 9a = 6 … (iii)
6b + 12a = 7….. (ii)
Subtract (iii) from (ii),
6b + 12a – 6b – 9a = 7 – 6
⇒ 3a = 1
Putting above value in (ii),
⇒ 2b = 2 – 1
Question 3.
Solve the following pairs of linear equations: x ≠ 1, y ≠ 1
Answer:
Putting these value in given equations, we get
4a + 5b = 2, 8a + 15b = 3
So, the given equations transforms into linear equation in two variables i.e.
4a + 5b = 2 … (i)
8a + 15b = 3 …..(ii)
Multiply equation (i) by 2, so
8a + 10b = 4 … (iii)
8a + 15b = 3 …..(ii)
Subtract (iii) from (ii),
8a + 15b – 8a – 10b = 3 – 4
⇒ 5b = – 1
Putting above value in (i),
⇒ 4a = 2 + 1
⇒ – y + 1 = 5
⇒ y = – 4
Question 4.
Solve the following pairs of linear equations: 3x + y ≠ 0, 3x – y ≠ 0
Answer:
Putting these value in given equations, we get
So, the given equations transforms into linear equation in two variables i.e.
4a + 4b = 3 … (i)
4a – 4b = 1 …..(ii)
Add (i) and (ii),
4a + 4b + 4a – 4b = 3 + 1
⇒ 8a = 4
Putting above value in (i),
⇒ 4b = 3 – 2
⇒ 4b = 1
… (iii)
…. (iv)
Add (iii) and (iv),
3x + y + 3x – y = 2 + 4
⇒ 6x = 6
⇒ x = 1
Putting the above value in (iii),
3(1) + y = 2
⇒ y = 3 – 2
⇒ y = 1
Question 5.
Solve the following pairs of linear equations: x > 0, y > 0
Answer:
Putting these value in given equations, we get
So, the given equations transforms into linear equation in two variables i.e.
3a + 4b = 2 … (i)
60a + 84b = 41 …..(ii)
Multiply (i) by 20,
60a + 80b = 40 …. (iii)
60a + 84b = 41 …..(ii)
Subtract (iii) from (ii),
60a + 84b – 60a – 80b = 41 – 40
⇒ 4b = 1
Putting above value in (i),
⇒ 3a = 2 – 1
⇒ 3a = 1
Squaring both the sides,
x = 9
Similarly,
Squaring both the sides,
y = 16
Question 6.
5 women and 2 men together can finish an embroidery work in 4 days, while 6 women and 3 men can finish it in 3 days. Find the time taken by 1 woman alone to finish the work. Also, find the time taken by 1 man alone to finish the work.
Answer:
Let W and M represent the work done by a woman and a man respectively.
It is given that 5 women and 2 men can do the work in 4 days.
So, work done by 5 women and 2 men in a day will be
⇒ 20W + 8M = 1 …. (i)
Also,
It is given that 6 women and 3 men can do the same work in 3 days.
So, work done by 6 women and 3 men in a day will be
⇒ 18W + 9M = 1 …. (ii)
From (i) and (ii) equation,
20W + 8M = 18W + 9M
⇒ 2W = M
This means that the work done by 2 women in a day is equal to the work done by a man in a day. Substituting the value of M in (i) equation, we get
20W + 8M = 1
⇒ 20W + 8× 2W = 1
⇒ (20 + 16) W = 1
So, a woman do work in a day.
This means a woman will finish the work in 36 days if working alone.
Now, put the value of W in (ii),
18W + 9M = 1
So, a man do work in a day.
This means a man will finish the work in 18 days if working alone.
Question 7.
A boat goes 21 km upstream and 18 km downstream in 9 hours. In 13 hours, it can go 30 km upstream and 27 km downstream. Determine the speed of the stream and that of the boat in still water. (Speed of boat in still water is more than the speed of the stream of river.)
Answer:
Let the speed of the boat in still water be x km/hr and the speed of stream be y km/hr. It is necessary that x > y.
The speed of the boat in downstream = (speed of boat in still water + speed of stream) = (x + y) km/hr.
The speed of boat in upstream = (speed of boat in still water – speed of stream) = (x – y) km/hr.
Also, we know that
In the first case, it is given that boat goes 21 km upstream and 18 km downstream in 9 hours
⇒ Time taken by boat in upstream and downstream = 9 hr
In the second case, it is given that boat goes 30 km upstream and 27 km downstream in 13 hours
⇒ Time taken by boat in upstream and downstream = 13 hr
Putting these value in (i) and (ii), we get
21a + 18b = 9
30a + 27b = 13
So, the given equations transforms into linear equation in two variables
7a + 6b = 3 …. (iii)
30a + 27b = 13 … (iv)
Multiply (iii) by 9 and (iv) by 2,
63a + 54b = 27 …. (v)
60a + 54b = 26 … (vi)
Subtract (vi) from (v),
63a + 54b – 60a – 54b = 27 – 26
⇒ 3a = 1
Putting above value in (iii),
… (vii)
…. (viii)
Add above two equations,
x – y + x + y = 3 + 9
⇒ 2x = 12
⇒ x = 6
Putting x = 6 in (viii),
y = 9 – 6
⇒ y = 3
Question 8.
Solve the following pair of equations by cross multiplication method:
Answer:
Putting these value in given equations, we get
4b + 7a = 16… (i), 10b + 3a = 11 ….. (ii)
So, the given equations transforms into linear equation in two variables.
Multiply equation (i) by 5 and (ii) by 2,
20b + 35a = 80 … (iii)
20b + 6a = 22….. (iv)
Subtract (iv) from (iii),
20b + 35a – 20b – 6a = 80 – 22
⇒ 29a = 58
⇒ a = 2
Putting above value in (ii),
10b + 3× 2 = 11
⇒ 10b = 11 – 6
Question 9.
Mahesh travels 250 km to his home partly by train and partly by bus. He takes 6 hours if he travels 50 km by train and remaining distance by bus. If he travels 100 km by train and remaining distance by bus, he takes 7 hours. Find the speed of the train and the bus separately.
Answer:
Let the speed of the train and the bus be x km/hr and y km/hr respectively.
We know that
Total distance travelled by Mahesh = 250 km
In the first case it is given that he travels 50 km by train and 200 km by bus.
Given that total time taken by Mahesh to reach in this case = 6 hr
In the second case it is given that he travels 100 km by train and 150 km by bus.
Given that total time taken by Mahesh to reach in this case = 7 hr
Putting these value in above equations, we get
50a + 200b = 6 … (i), 100a + 150b = 7 ….. (ii)
So, the given equations transforms into linear equation in two variables.
Multiply equation (i) by 2,
100a + 400b = 12 … (iii)
100a + 150b = 7 ….. (ii)
Subtract (ii) from (iii),
100a + 400b – 100a – 150b = 12 – 7
⇒ 250b = 5
Putting above value in (ii),
Exercise 3
Question 1.Obtain a pair of linear equations from the following information:
"The rate of tea per kg is seven times the rate of sugar per kg. The total cost of 2 kg tea and 5 kg sugar is Rs. 570."
Answer:Let the rate of tea per kg be Rs x and the rate of sugar per kg be Rs y.
According to the question,
x = 7y
⇒ x – 7y = 0 … (i)
Also, cost of 2 kg of tea = 2x and cost of 5 kg of sugar = 5y
⇒ 2x + 5y = 570 … (ii)
Hence, equation (i) and (ii) is the required pair of linear equation.
Question 2.Draw the graphs of the pair of linear equations in two variables. x + 3y = 6, 2x — y = 5. Find its solution set.
Answer:For drawing the given pair of linear equations we need few coordinates to plot of these equations.
![](data:image/png;base64,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)
In x + 3y = 6,
If x = 0 then 0 + 3y = 6
⇒ y = 2
B(0, 2)
If y = 0 then x + 0 = 6
⇒ x = 6
D(6, 0)
In 2x — y = 5,
If x = 0 then 0 – y = 5
⇒ y = – 5
C(0, – 5)
If y = 0 then 2x + 0 = 5
⇒ x = 2.5
E(2.5, 0)
Now plot B, C, D and E on graph,
![](data:image/png;base64,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)
We find that A(3, 1) is the intersecting point of the lines. Hence, {(3, 1)} is the solution set of the pair of linear equations.
Question 3.Solve the following pair of equations by the method of elimination:
![](data:image/png;base64,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)
Answer:![](data:image/png;base64,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)
![](data:image/png;base64,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)
Using elimination method:
Multiply (i) by 4 and (ii) by 5,
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Subtract (iii) from (iv),
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEwAAAAqCAMAAAAu5E1eAAAAAXNSR0IArs4c6QAAAG9QTFRFAAAAAAAAAAA6AABmADpmADqQAGa2OgAAOgA6OjpmOmY6Oma2OpDbZgAAZjoAZjpmZmYAZrbbZrb/kDoAkDo6kGY6kLaQkLbbkNv/tmYAtpA6ttv/tv//25A627aQ2////7Zm/9uQ/9u2//+2///bgCZQKwAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAABSUlEQVRIS+2W3U7DMAyF444tjFH+AqwBsjXU7/+MOMk0ilDjIxQukPBFb/rl2LGdOMb8RTvcEF28ApEDYOj2hv3qTVUDwKm/FpnyrRoCRvsgGuzWR0UMAYtDQAwC/Wow/EJqZAYB+UmK+dxvtJwZGIxWLUBxhoChG9TIMgCAE7DLrAWAB7vTGqPErYPRbvfQHmEQUvuHGmQgbpF7EHU0os2+LDj1dDZNzcNkPl/pPjzZpw9lawvgFzE0O3Pul7bZoADnKNu2xk+S1H4N54kO3siae0/35r0HRr8mlP77NMACzXr02ypp9/UxUJWZLRrroJfTxa7mbx6A8sJJL4MATk0Zm4rXaK92SM6EYad6BQZrccZOfURMt3dgvf1GG6/8OABzOgUW0ktprG2UvfwdSc2FvFkupfszvmTsqJPICFA7XcCAW7Cc7bEPlzATleCH7hUAAAAASUVORK5CYII=)
⇒ x = 2
Putting this value of x in (i),
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHQAAAArCAMAAACenFw3AAAAAXNSR0IArs4c6QAAAHJQTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGa2OgAAOjpmOmaQOma2OpCQOpDbZgAAZjoAZjo6ZjpmZpDbZrbbZrb/kDoAkDo6kGYAkGY6kNv/tmYAttv/tv//25A625Bm27aQ2////7Zm/9uQ/9u2//+2///bbWAbvAAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAABQElEQVRYR+1W0XaCMAxNnUphG+K2oqtDodD//0Vb3ZmChzXUWF+aR06Sm9wm4QJEm8jA/ntiwH3uijNjs9CgX/dV7ROteAT14Q0Zo3jK2SLsHIEuP6EVgaf3RIji70hiCN26PCHM5k4lbY+hO5XmOVvx8uMuj9CjLcwVzHaEGWMqTwYOReAjAtCuWOB5M2uV7aoBqEp7A6gFY8va/KBJ79sQFJp+ei2WNQw/ej7lX9gvaJdbsXG2PurJobq+bnLE86aUUcebTg3C7FoDWEWgS+e0XWpG0OAE1SKBxlJMaE56wXjInvx5AL2DQQLo8rc18Rl3rIzlVDLqP3PlXsBmwv1AKHy9tbJ8/vH/jDQoNUCo8M2yIPblLI/IxLYWrxtUo7SgLMPtKGGn+IvwJNCo8PFP5OcZFb4fb+6oqPDHOToCpYoUVdKZiWEAAAAASUVORK5CYII=)
Question 4.Solve the following pair of linear equations by the method of cross – multiplication:
(a + b)x + (a — b)y = a2 + 2ab — b2, a ≠ b
(a — b) (x + y) = a2 — b2, a ≠ b
Answer:Given equations are
(a + b)x + (a — b)y = a2 + 2ab — b2
And (a — b) (x + y) = a2 — b2
Change the given equations to the form,
a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 …(i)
⇒ (a + b)x + (a — b)y – a2 – 2ab + b2 = 0
And
(a – b)x + (a – b)y – a2 + b2 = 0
On comparing with (i) we get,
a1 = (a + b),
b1 = (a — b),
c1 = – a2 – 2ab + b2;
a2 = (a – b),
b2 = (a – b),
c2 = – a2 + b2 = b2 – a2 = (b + a)(b – a) {Using a2 – b2 = (a + b)(a – b)}
Applying cross multiplication method which says,
![](data:image/png;base64,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)
Putting the given values in the above equation we get,
![](data:image/png;base64,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)
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![](data:image/png;base64,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)
![](data:image/png;base64,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)
Similarly,
![](data:image/png;base64,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)
![](data:image/png;base64,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)
∴The solution of the pair of equations is (a, b).
Question 5.Solve the following pair of equations:
and
x ≠ 1, y ≠ 2
Answer:![](data:image/png;base64,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)
![](data:image/png;base64,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)
Putting these value in given equations, we get
4a + 7b = 2, 2(10a + 14b) = 9
So, the given equations transforms into linear equation in two variables i.e.
4a + 7b = 2… (i)
20a + 28b = 9 …..(ii)
Multiply equation (i) by 4, so
16a + 28b = 8 … (iii)
20a + 28b = 9…..(ii)
Subtract (iii) from (ii),
20a + 28b – 16a – 28b = 9 – 8
⇒ 4a = 1
![](data:image/png;base64,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)
Putting above value in (i),
![](data:image/png;base64,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)
⇒ 7b = 2 – 1
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
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⇒ y + 2 = 7
⇒ y = 5
Question 6.The difference between two natural numbers is 6. Adding 10 to the twice of the larger number, we get 2 less than 3 times of the smaller number. Find these numbers.
Answer:Let the two natural numbers be x and y such that x is the larger number and y is the smaller number.
According to the question,
x – y = 6
and 2x + 10 = 3y – 2
⇒ x – y – 6 = 0 …(i)
And 2x – 3y + 12 = 0 ..(ii)
Multiply (i) by 2,
2x – 2y – 12 = 0 .. (iii)
2x – 3y + 12 = 0 ..(ii)
Subtract (iii) from (ii),
2x – 3y + 12 – 2x + 2y + 12 = 0
⇒ – y + 24 = 0
⇒ y = 24
Putting this value in (i),
x – 24 – 6 = 0
⇒ x = 30
So the numbers are 30 and 24.
Question 7.The area of a rectangle gets increased by 30 square units, if its length is reduced by 3 units and breadth is increased by 5 units. If we increase the length by 5 units and reduce the breadth by 3 units then the area of a rectangle reduces by 10 square units. Find the length and breadth of the rectangle.
Answer:Let the length be x units and breadth be y units of a rectangle.
⇒ Area of rectangle = x × y
According to the question,
If length is reduced by 3, length = (x – 3)
And breadth is increased by 5, breadth = (y + 5)
Area = (xy + 30)
⇒ (x – 3)(y + 5) = (xy + 30)
⇒ xy + 5x – 3y – 15 = xy + 30
⇒ 5x – 3y = 45 …(i)
If length is incresed by 5, length = (x + 5)
And breadth is reduced by 3, breadth = (y – 3)
Area = (xy – 10)
⇒ (x + 5)(y – 3) = (xy – 10)
⇒ xy – 3x + 5y – 15 = xy – 10
⇒ – 3x + 5y = 5 …(ii)
Multiply (i) by 3 and (ii) by 5,
15x – 9y = 135 .. (iii)
– 15x + 25y = 25 …(iv)
Add (iii) and (iv),
15x – 9y – 15x + 25y = 135 + 25
⇒ 16y = 160
⇒ y = 10
Putting this in (i),
5x – 3×10 = 45
⇒ 5x = 45 + 30
⇒ 5x = 75
⇒ x = 15
So, the length is 15 units and breadth is 10 units.
Question 8.A part of monthly hostel charges is fixed and the remaining depends on the number of days one has taken food in the mess. Yash takes food for 25 days. He has to pay Rs. 2200 as hostel charges where as Niyati takes food for 20 days. She has to pay Rs. 1800 as hostel charges. Find the fixed charges and the cost of food per day.
Answer:Let the fixed charge be Rs x and the cost of food per day be Rs y.
According to the question,
For Yash,
He took food for 25 days
⇒ x + 25 y = 2200..(i)
For Niyati,
She took food for 20 days
⇒ x + 20 y = 1800….(ii)
Subtract (ii) from (i),
x + 25y – x – 20 y = 2200 – 1800
⇒ 5y = 400
⇒ y = 80
Putting this value in (i),
x + 25× 80 = 2200
⇒ x = 2200 – 2000
⇒ x = 200
Hence, the fixed cost = Rs 200 and the cost for food per day = Rs 80
Question 9.A fraction becomes
when 2 is subtracted from the numerator and denominator it becomes
when 5 is added to its denominator and numerator, find the fraction.
Answer:Let the required fraction be![](data:image/png;base64,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)
According to the question,
![](data:image/png;base64,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)
⇒ 5x – 10 = 2y – 4
⇒ 5x – 2y = 6 …(i)
Also, ![](data:image/png;base64,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)
⇒ 4x + 20 = 3y + 15
⇒ 4x – 3y = – 5 …(ii)
Multiply (i) by 3 and (ii) by 2,
15x – 6y = 18 ..(iii)
8x – 6y = – 10 ….(iv)
Subtract (iv) from (iii),
15x – 6y – 8x + 6y = 18 + 10
⇒ 7x = 28
⇒ x = 4
Putting this in (i),
5× 4 – 2y = 6
⇒ – 2y = 6 – 20
⇒ – 2y = – 14
⇒ y = 7
Hence the required fraction is ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAcAAAAgCAMAAADpJZJvAAAAAXNSR0IArs4c6QAAAEhQTFRFAAAAAAAAAABmADqQAGa2OgAAOjoAOma2ZjpmZrbbZrb/kDoAkDo6kDqQkGaQkNv/tv//25A629uQ2////7Zm/9uQ//+2///bOSLoBwAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAWUlEQVQYV41OQQ6AIAzbFEREBRTd/3+qa6KJkRh7adq124je2OygpowdOPugXJwo732S4GfKrGgRxJxosU2qrKtbqDP/zl9BCVozJNN6fhhhFwe6pfmSz4sHo5cDHswHXm4AAAAASUVORK5CYII=)
Question 10.The solution set of x — 3y = 1 and 3x + y = 3 is
A. {(0, 1))
B. {(1, 1)}
C. {(1, 0)}
D. {
, 0)}
Answer:Given: x — 3y = 1…(i)
3x + y = 3 …(ii)
Multiply (i) by 3,
3x – 9y = 3 ..(iii)
3x + y = 3…(ii)
Subtract (ii) from (iii),
3x – 9y – 3x – y = 3 – 3
⇒ – 10y = 0
⇒ y = 0
Putting this in (i),
x – 0 = 1
⇒ x = 1
So, the solution set will be {1, 0}.
Question 11.The solution set of 2x + y = 6 and 4x + 2y = 5 is
A. {(x, Y)| 2x + y = 6; x, y ∈ R}
B. {(x, y) | 2x + y = 0; x, y y ∈ R}
C. Φ
D. infinite set
Answer:Given: 2x + y = 6 and 4x + 2y = 5
Change the given equations to the form,
a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 …(i)
⇒ 2x + y – 6 = 0
And
4x + 2y – 5 = 0
On comparing with (i) we get,
a1 = 2,
b1 = 1,
c1 = – 6;
a2 = 4,
b2 = 2,
c2 = – 5;
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
This means that the equations are inconsistent and have no solution.
Question 12.To eliminate x, from 3x + y = 7 and —x + 2y = 2 second equation is multiplied by
A. 1
B. 2
C. 3
D. —1
Answer:Given: 3x + y = 7 ..(i)and —x + 2y = 2 …(ii)
Using elimination method,
Multiply (ii) by 3,
3x + y = 7 …(i)
– 3x + 6y = 6 …(iii)
Add (i) and (iii),
3x + y – 3x + 6y = 7 + 6
⇒ 7y = 13
Hence, x is eliminated by multiplying second equation by 3.
Question 13.If 2x + 3y = 7 and 3x + 2y = 3, then x — y =
A. 4
B. —4
C. 2
D. —2
Answer:Given: 2x + 3y = 7 …(i)
3x + 2y = 3 …(ii)
Subtract (i) from (ii),
3x + 2y – 2x – 3y = 3 – 7
⇒ x – y = – 4
Question 14.If the pair of linear equations ax + 2y = 7 and 2x + 3y = 8 has a unique solution, then a ≠ ………….
A. ![](data:image/png;base64,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)
B. – ![](data:image/png;base64,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)
C. ![](data:image/png;base64,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)
D. – ![](data:image/png;base64,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)
Answer:Given: ax + 2y = 7 and 2x + 3y = 8
Change the given equations to the form,
a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 …(i)
⇒ ax + 2y – 7 = 0
And
2x + 3y – 8 = 0
On comparing with (i) we get,
a1 = a,
b1 = 2,
c1 = – 7;
a2 = 2,
b2 = 3,
c2 = – 8;
![](data:image/png;base64,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)
For unique solution,
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGIAAAAqCAMAAAB/cH49AAAAAXNSR0IArs4c6QAAAIRQTFRFAAAAAAAAAAA6AABmADpmADqQAGa2OgAAOgA6OgBmOjoAOjpmOmaQOma2OpDbZgAAZgA6ZjoAZjo6ZjpmZmY6ZmaQZrbbZrb/kDoAkDo6kGY6kLbbkNv/tmYAtmY6ttv/tv//25A627Zm27aQ29u22/+22////7Zm/9uQ/9u2//+2///bFT1L5wAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAABu0lEQVRYR+1X21rDIAyGOVcP2+o81inOWm1Lef/3Eyi0hI21i/TzQnPTrQn5kx8SUkL+uIhiQ+n8NcTCgHoUeYw+Ep6evQeMB9TjIBbSLKdPrXFz12Jx8yQMqEd5PGxUWQiRzRVGk65cw079AwjWESWy81IiqNh76dVojDoxPEkPEuNzsyhdX64aiSGytbNSZFQmAl64ahSGyAAtPoSnRkEwQIsmyk0DqlEIufJXWS7sdndUQTUKob6QlS2YgdAI6tBa7qAahUAY1WIg+EMbfm2enhoH8b/qdxlgfb9ABFJf7+Aq8XFFKeibpL5U3RQv1QzcYLL8S8HguxzVc5q0Pd5KoD99ym0nNUVw0OiUrPKZTzXsxrlLWx/ZwC8QAYQQxW1C7aWm7Jqb4CxwNJEgUWovYhPlbbf+6xKFTaLP0D+0dbIm/N65OCt4LZ+yySHbN1kVX2m3GeIZtxMxQjE+dKWGh8MYSGz2Qni2X1oxfBsf0aa/gZgijGbHEfh26bXSiCzp4pfdbglGtcgA2l2RBL8FosFVdiCJ5nHPkWoJk0k7Qcf4ngiGKFTV8XYknEr4Vt4uqykRpop8lN9vHNgeR9WU/dcAAAAASUVORK5CYII=)
![](data:image/png;base64,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)
Question 15.The pair of linear equations 2x + y — 3 = 0 and 6x + 3y = 9 has
A. a unique solution
B. two solutions
C. no solution
D. infinitely many solutions
Answer:Given: 2x + y — 3 = 0 and 6x + 3y = 9
Change the given equations to the form,
a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 …(i)
⇒ 2x + y – 3 = 0
And
6x + 3y – 9 = 0
On comparing with (i) we get,
a1 = 2,
b1 = 1,
c1 = – 3;
a2 = 6,
b2 = 3,
c2 = – 9;
![](data:image/png;base64,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)
![](data:image/png;base64,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)
This means that the equations are consistent and have infinitely many solutions.
Question 16.If in a two digit number, the digit at unit place is x and the digit at tens place is 5, then the number is
A. 50x + 5
B. 30x + 5
C. x + 50
D. 5x
Answer:A two digit number is of the form 10y + x where x is the digit at unit place and y is the digit at tens place.
According to the question,
y = 5
Then number will be 10 × 5 + x = 50 + x
Question 17.In a two digit number, the digit at tens place is 7 and the sum of the digits is 8 times the digit at unit place. Then the number is
A. 70
B. 71
C. 17
D. 78
Answer:Let the number be 10x + y where x is the digit at tens place and y is the digit at unit place.
According to the question,
x = 7
Sum of the digits = 7 + y
⇒ 7 + y = 8y
⇒ 7y = 7
⇒ y = 1
So, the number = 71
Question 18.The sum of two numbers is 10 and the difference of them is 2. Then the greater number of these two is
A. 2
B. 4
C. 6
D. 8
Answer:Let the two numbers be x and y.
According to the question,
x + y = 10 ..(i)
x – y = 2 ..(ii)
Adding (i) and (ii),
x + y + x –y = 10 + 2
⇒ 2x = 12
⇒ x = 6
Putting x = 6 in (i),
6 + y = 10
⇒ y = 4
Then the greater number is 6.
Question 19.3 years ago, the sum of ages of a father and his son was 40 years. After 2 years the sum of ages of the father and his son will be
A. 40
B. 46
C. 50
D. 60
Answer:Let the present ages of father and son be x years and y years respectively.
Age of father three years ago = x – 3
Age of son three years ago = y – 3
According to the question,
x – 3 + y – 3 = 40
⇒ x + y = 40 + 6
⇒ x + y = 46 .. (i)
After 2 years,
Age of father = x + 2
Age of son = y + 2
Sum of their ages after 2 years = x + 2 + y + 2 = (x + y) + 4 = 46 + 4 = 50 {Using (i)}
Question 20.The solution set of 2x + 4y = 8 and x + 2y = 4 is
A. {(2, 1)}
B. empty set
C. infinite set
D. {(0, 0)}
Answer:Given: of 2x + 4y = 8 …(i) and
x + 2y = 4 …(ii)
Using elimination method,
Multiply (ii) by 2,
2x + 4y = 8 …(i)
2x + 4y = 8 …(iii)
Since both the equations are same therefore they have infinite solution.
Question 21.Equation
can be expressed in the standard form as
A. 2x — 3y — 6 = 0
B. 3x — 2y — 6 = 0
C. 3x — 2y = 1
D. 2x — 3y = 3
Answer:![](data:image/png;base64,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)
Standard form of linear equation in two variable: ax + by + c = 0 where a, b and c are the constants.
Taking LCM (2, 3) = 6 in the denominator,
![](data:image/png;base64,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)
⇒ 3x – 2y = 6
⇒ 3x – 2y – 6 = 0
This is the standard form of the given equation.
Obtain a pair of linear equations from the following information:
"The rate of tea per kg is seven times the rate of sugar per kg. The total cost of 2 kg tea and 5 kg sugar is Rs. 570."
Answer:
Let the rate of tea per kg be Rs x and the rate of sugar per kg be Rs y.
According to the question,
x = 7y
⇒ x – 7y = 0 … (i)
Also, cost of 2 kg of tea = 2x and cost of 5 kg of sugar = 5y
⇒ 2x + 5y = 570 … (ii)
Hence, equation (i) and (ii) is the required pair of linear equation.
Question 2.
Draw the graphs of the pair of linear equations in two variables. x + 3y = 6, 2x — y = 5. Find its solution set.
Answer:
For drawing the given pair of linear equations we need few coordinates to plot of these equations.
In x + 3y = 6,
If x = 0 then 0 + 3y = 6
⇒ y = 2
B(0, 2)
If y = 0 then x + 0 = 6
⇒ x = 6
D(6, 0)
In 2x — y = 5,
If x = 0 then 0 – y = 5
⇒ y = – 5
C(0, – 5)
If y = 0 then 2x + 0 = 5
⇒ x = 2.5
E(2.5, 0)
Now plot B, C, D and E on graph,
We find that A(3, 1) is the intersecting point of the lines. Hence, {(3, 1)} is the solution set of the pair of linear equations.
Question 3.
Solve the following pair of equations by the method of elimination:
Answer:
Using elimination method:
Multiply (i) by 4 and (ii) by 5,
Subtract (iii) from (iv),
⇒ x = 2
Putting this value of x in (i),
Question 4.
Solve the following pair of linear equations by the method of cross – multiplication:
(a + b)x + (a — b)y = a2 + 2ab — b2, a ≠ b
(a — b) (x + y) = a2 — b2, a ≠ b
Answer:
Given equations are
(a + b)x + (a — b)y = a2 + 2ab — b2
And (a — b) (x + y) = a2 — b2
Change the given equations to the form,
a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 …(i)
⇒ (a + b)x + (a — b)y – a2 – 2ab + b2 = 0
And
(a – b)x + (a – b)y – a2 + b2 = 0
On comparing with (i) we get,
a1 = (a + b),
b1 = (a — b),
c1 = – a2 – 2ab + b2;
a2 = (a – b),
b2 = (a – b),
c2 = – a2 + b2 = b2 – a2 = (b + a)(b – a) {Using a2 – b2 = (a + b)(a – b)}
Applying cross multiplication method which says,
Putting the given values in the above equation we get,
Similarly,
∴The solution of the pair of equations is (a, b).
Question 5.
Solve the following pair of equations: and
x ≠ 1, y ≠ 2
Answer:
Putting these value in given equations, we get
4a + 7b = 2, 2(10a + 14b) = 9
So, the given equations transforms into linear equation in two variables i.e.
4a + 7b = 2… (i)
20a + 28b = 9 …..(ii)
Multiply equation (i) by 4, so
16a + 28b = 8 … (iii)
20a + 28b = 9…..(ii)
Subtract (iii) from (ii),
20a + 28b – 16a – 28b = 9 – 8
⇒ 4a = 1
Putting above value in (i),
⇒ 7b = 2 – 1
⇒ y + 2 = 7
⇒ y = 5
Question 6.
The difference between two natural numbers is 6. Adding 10 to the twice of the larger number, we get 2 less than 3 times of the smaller number. Find these numbers.
Answer:
Let the two natural numbers be x and y such that x is the larger number and y is the smaller number.
According to the question,
x – y = 6
and 2x + 10 = 3y – 2
⇒ x – y – 6 = 0 …(i)
And 2x – 3y + 12 = 0 ..(ii)
Multiply (i) by 2,
2x – 2y – 12 = 0 .. (iii)
2x – 3y + 12 = 0 ..(ii)
Subtract (iii) from (ii),
2x – 3y + 12 – 2x + 2y + 12 = 0
⇒ – y + 24 = 0
⇒ y = 24
Putting this value in (i),
x – 24 – 6 = 0
⇒ x = 30
So the numbers are 30 and 24.
Question 7.
The area of a rectangle gets increased by 30 square units, if its length is reduced by 3 units and breadth is increased by 5 units. If we increase the length by 5 units and reduce the breadth by 3 units then the area of a rectangle reduces by 10 square units. Find the length and breadth of the rectangle.
Answer:
Let the length be x units and breadth be y units of a rectangle.
⇒ Area of rectangle = x × y
According to the question,
If length is reduced by 3, length = (x – 3)
And breadth is increased by 5, breadth = (y + 5)
Area = (xy + 30)
⇒ (x – 3)(y + 5) = (xy + 30)
⇒ xy + 5x – 3y – 15 = xy + 30
⇒ 5x – 3y = 45 …(i)
If length is incresed by 5, length = (x + 5)
And breadth is reduced by 3, breadth = (y – 3)
Area = (xy – 10)
⇒ (x + 5)(y – 3) = (xy – 10)
⇒ xy – 3x + 5y – 15 = xy – 10
⇒ – 3x + 5y = 5 …(ii)
Multiply (i) by 3 and (ii) by 5,
15x – 9y = 135 .. (iii)
– 15x + 25y = 25 …(iv)
Add (iii) and (iv),
15x – 9y – 15x + 25y = 135 + 25
⇒ 16y = 160
⇒ y = 10
Putting this in (i),
5x – 3×10 = 45
⇒ 5x = 45 + 30
⇒ 5x = 75
⇒ x = 15
So, the length is 15 units and breadth is 10 units.
Question 8.
A part of monthly hostel charges is fixed and the remaining depends on the number of days one has taken food in the mess. Yash takes food for 25 days. He has to pay Rs. 2200 as hostel charges where as Niyati takes food for 20 days. She has to pay Rs. 1800 as hostel charges. Find the fixed charges and the cost of food per day.
Answer:
Let the fixed charge be Rs x and the cost of food per day be Rs y.
According to the question,
For Yash,
He took food for 25 days
⇒ x + 25 y = 2200..(i)
For Niyati,
She took food for 20 days
⇒ x + 20 y = 1800….(ii)
Subtract (ii) from (i),
x + 25y – x – 20 y = 2200 – 1800
⇒ 5y = 400
⇒ y = 80
Putting this value in (i),
x + 25× 80 = 2200
⇒ x = 2200 – 2000
⇒ x = 200
Hence, the fixed cost = Rs 200 and the cost for food per day = Rs 80
Question 9.
A fraction becomes when 2 is subtracted from the numerator and denominator it becomes
when 5 is added to its denominator and numerator, find the fraction.
Answer:
Let the required fraction be
According to the question,
⇒ 5x – 10 = 2y – 4
⇒ 5x – 2y = 6 …(i)
Also,
⇒ 4x + 20 = 3y + 15
⇒ 4x – 3y = – 5 …(ii)
Multiply (i) by 3 and (ii) by 2,
15x – 6y = 18 ..(iii)
8x – 6y = – 10 ….(iv)
Subtract (iv) from (iii),
15x – 6y – 8x + 6y = 18 + 10
⇒ 7x = 28
⇒ x = 4
Putting this in (i),
5× 4 – 2y = 6
⇒ – 2y = 6 – 20
⇒ – 2y = – 14
⇒ y = 7
Hence the required fraction is
Question 10.
The solution set of x — 3y = 1 and 3x + y = 3 is
A. {(0, 1))
B. {(1, 1)}
C. {(1, 0)}
D. {, 0)}
Answer:
Given: x — 3y = 1…(i)
3x + y = 3 …(ii)
Multiply (i) by 3,
3x – 9y = 3 ..(iii)
3x + y = 3…(ii)
Subtract (ii) from (iii),
3x – 9y – 3x – y = 3 – 3
⇒ – 10y = 0
⇒ y = 0
Putting this in (i),
x – 0 = 1
⇒ x = 1
So, the solution set will be {1, 0}.
Question 11.
The solution set of 2x + y = 6 and 4x + 2y = 5 is
A. {(x, Y)| 2x + y = 6; x, y ∈ R}
B. {(x, y) | 2x + y = 0; x, y y ∈ R}
C. Φ
D. infinite set
Answer:
Given: 2x + y = 6 and 4x + 2y = 5
Change the given equations to the form,
a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 …(i)
⇒ 2x + y – 6 = 0
And
4x + 2y – 5 = 0
On comparing with (i) we get,
a1 = 2,
b1 = 1,
c1 = – 6;
a2 = 4,
b2 = 2,
c2 = – 5;
This means that the equations are inconsistent and have no solution.
Question 12.
To eliminate x, from 3x + y = 7 and —x + 2y = 2 second equation is multiplied by
A. 1
B. 2
C. 3
D. —1
Answer:
Given: 3x + y = 7 ..(i)and —x + 2y = 2 …(ii)
Using elimination method,
Multiply (ii) by 3,
3x + y = 7 …(i)
– 3x + 6y = 6 …(iii)
Add (i) and (iii),
3x + y – 3x + 6y = 7 + 6
⇒ 7y = 13
Hence, x is eliminated by multiplying second equation by 3.
Question 13.
If 2x + 3y = 7 and 3x + 2y = 3, then x — y =
A. 4
B. —4
C. 2
D. —2
Answer:
Given: 2x + 3y = 7 …(i)
3x + 2y = 3 …(ii)
Subtract (i) from (ii),
3x + 2y – 2x – 3y = 3 – 7
⇒ x – y = – 4
Question 14.
If the pair of linear equations ax + 2y = 7 and 2x + 3y = 8 has a unique solution, then a ≠ ………….
A.
B. –
C.
D. –
Answer:
Given: ax + 2y = 7 and 2x + 3y = 8
Change the given equations to the form,
a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 …(i)
⇒ ax + 2y – 7 = 0
And
2x + 3y – 8 = 0
On comparing with (i) we get,
a1 = a,
b1 = 2,
c1 = – 7;
a2 = 2,
b2 = 3,
c2 = – 8;
For unique solution,
Question 15.
The pair of linear equations 2x + y — 3 = 0 and 6x + 3y = 9 has
A. a unique solution
B. two solutions
C. no solution
D. infinitely many solutions
Answer:
Given: 2x + y — 3 = 0 and 6x + 3y = 9
Change the given equations to the form,
a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 …(i)
⇒ 2x + y – 3 = 0
And
6x + 3y – 9 = 0
On comparing with (i) we get,
a1 = 2,
b1 = 1,
c1 = – 3;
a2 = 6,
b2 = 3,
c2 = – 9;
This means that the equations are consistent and have infinitely many solutions.
Question 16.
If in a two digit number, the digit at unit place is x and the digit at tens place is 5, then the number is
A. 50x + 5
B. 30x + 5
C. x + 50
D. 5x
Answer:
A two digit number is of the form 10y + x where x is the digit at unit place and y is the digit at tens place.
According to the question,
y = 5
Then number will be 10 × 5 + x = 50 + x
Question 17.
In a two digit number, the digit at tens place is 7 and the sum of the digits is 8 times the digit at unit place. Then the number is
A. 70
B. 71
C. 17
D. 78
Answer:
Let the number be 10x + y where x is the digit at tens place and y is the digit at unit place.
According to the question,
x = 7
Sum of the digits = 7 + y
⇒ 7 + y = 8y
⇒ 7y = 7
⇒ y = 1
So, the number = 71
Question 18.
The sum of two numbers is 10 and the difference of them is 2. Then the greater number of these two is
A. 2
B. 4
C. 6
D. 8
Answer:
Let the two numbers be x and y.
According to the question,
x + y = 10 ..(i)
x – y = 2 ..(ii)
Adding (i) and (ii),
x + y + x –y = 10 + 2
⇒ 2x = 12
⇒ x = 6
Putting x = 6 in (i),
6 + y = 10
⇒ y = 4
Then the greater number is 6.
Question 19.
3 years ago, the sum of ages of a father and his son was 40 years. After 2 years the sum of ages of the father and his son will be
A. 40
B. 46
C. 50
D. 60
Answer:
Let the present ages of father and son be x years and y years respectively.
Age of father three years ago = x – 3
Age of son three years ago = y – 3
According to the question,
x – 3 + y – 3 = 40
⇒ x + y = 40 + 6
⇒ x + y = 46 .. (i)
After 2 years,
Age of father = x + 2
Age of son = y + 2
Sum of their ages after 2 years = x + 2 + y + 2 = (x + y) + 4 = 46 + 4 = 50 {Using (i)}
Question 20.
The solution set of 2x + 4y = 8 and x + 2y = 4 is
A. {(2, 1)}
B. empty set
C. infinite set
D. {(0, 0)}
Answer:
Given: of 2x + 4y = 8 …(i) and
x + 2y = 4 …(ii)
Using elimination method,
Multiply (ii) by 2,
2x + 4y = 8 …(i)
2x + 4y = 8 …(iii)
Since both the equations are same therefore they have infinite solution.
Question 21.
Equation can be expressed in the standard form as
A. 2x — 3y — 6 = 0
B. 3x — 2y — 6 = 0
C. 3x — 2y = 1
D. 2x — 3y = 3
Answer:
Standard form of linear equation in two variable: ax + by + c = 0 where a, b and c are the constants.
Taking LCM (2, 3) = 6 in the denominator,
⇒ 3x – 2y = 6
⇒ 3x – 2y – 6 = 0
This is the standard form of the given equation.