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Standard Algorithms Find the highest number

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! Your name and today’s date ! Find the maximum Dim numbers(20) As Integer

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Generate Numbers (uses a fixed loop) Algorithm !fill array with random numbers For counter = 1 To 20 numbers(counter) = a random number 1 - 50 Print numbers(counter) Next counter

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Generate Numbers (in True Basic) SUB generate(numbers()) !FILL array with random numbers Randomize FOR counter = 1 To 20 LET numbers(counter) = Int((50 * Rnd) + 1) PRINT numbers(counter) NEXT counter END SUB

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Find The Highest Number Algorithm 1.Set index to 1 2.Set largest to first number in list 3.Start Do loop 4. If numbers(index) > largest Then 5. largest = numbers(index) 6. End If 7. add 1 to index 8.Loop Until end of list 9.Print "The highest number is " ; largest

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Find The Highest Number in True Basic Sub Highest(numbers()) !FIND MAXIMUM Let index = 1 Let largest = numbers(index) Do If numbers(index) > largest Then let largest = numbers(index) End If let index = index + 1 Loop Until index > 20 PRINT "The highest number is " ; largest End Sub

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Find The Lowest Number Algorithm 1.Set index to 1 2. LET smallest = first number in list 3.Start Do loop 4. If first number in list < smallest Then 5. LET smallest = first number in list 6. End If 7. add 1 to index 8.Loop Until end of list 9.Print smallest number

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Find The Lowest Number in True Basic Sub Lowest(numbers()) !FIND MINIMUM LET index = 1 LET smallest = numbers(index) Do If numbers(index) < smallest Then LET smallest = numbers(index) End If LET index = index + 1 Loop Until index > 20 PRINT"The lowest number is “; smallest End Sub

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Linear Search Algorithm 1.Get number_to_look_for from User 2.Use WHILE loop to validate input 3.Set found to 0 4.Set index to 1 5.Start Do loop 6. If number_to_look_for = numbers(index) Then 7. set found to 1 8. End If 9. add 1 to index 10.Loop Until found Or end of list reached

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Linear Search Algorithm continued 12. If found Then 13. suitable message Else 14. not found message

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Linear Search in True Basic Sub Search(numbers()) !LINEAR SEARCH Input prompt “What number do you wish to look for “: number_to_look_for DO WHILE number_to_look_for 50 Input prompt “number not valid – it must be between 1 and 50 “: number_to_look_for Loop LET found = 0!number has not yet been found LET index = 1! to start at first number in list continue

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Linear Search in True Basic continued Do If number_to_look_for = numbers(index) Then LET found = 1 ! number found End If index = index + 1 ! go to next number in list Loop Until found = 1 Or index > 20 If found = 1 Then Print number_to_look_for ; " is in the list" Else Print number_to_look_for ; " is NOT in the list" End If End Sub

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Counting Occurrences Algorithm Set occurrences to 0 Set index to1 Get number from user and validate Start Loop If numbers(index) = number_to_find Then add 1 to occurrences End If add 1 to index Loop till end of list Print relevant message

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Counting Occurrences in True Basic Sub count_occurences(numbers()) Let occurrences = 0 Let index = 1 Input prompt "Please enter the number you wish to find“: number_to_find

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Counting Occurrences in True Basic (cont) Do While number_to_find 50 Input prompt “Invalid data - Please enter a number between 1 and 50 “: number_to_find Loop Do If numbers(index) = number_to_find Then occurrences = occurrences + 1 End If index = index + 1 Loop Until index > 20 Print "The number of times that " ; number_to_find ; " appeared on the list is " ; occurrences End Sub

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