Practice of algorithms
1. Write the algorithm and Chapin chart of the solution of the equation A*x2+Bx+C=0. Try to check every possibilities of A, B and C.
2. Write Chapin chart to find the minimum of two input variables Z and Y.
3. Write Chapin chart to find the minimum of three input variables X, Y and Z. Use the solution of problem 2 as a module.
4. Find the intersection points of a line and a parabola. (M*x+B = A1*x2+A2*x+A3) Use the solution of problem 1 as a module.
5. Write the algorithm and Chapin chart to calculate the N-th Fibonacci number F(n). F(1)=1; F(2)=1 F(i)=F(i-1)+F(i-2) where i=3->N. Calculate the ratio of the last two element F(i)/F(i-1). Show two solution: with array and without array.
6. A set of number is given. (The number of element is N.)
6.a Find the number of negative, positive element in the set.
6.b Find the average of the positive element in the set.
6.c Find the biggest (smallest) element in the set.
7*. Write Chapin chart to find the perfect numbers between 1 and 1000. (A number is perfect if the sum of dividers is equal to the number itself. Example: 6=1+2+3)