A MathWikiből





In Hungarian there are a lots of vowels and some words are hard to pronounce if there are a lots of consonants in them. For example "elorozza" has a good number of vowels, but the Slovakian "zmrzlina" has too many consonants.

Write a python function that decides whether a word has too many consonants or not.

  • Call the function pronunciation
  • with one parameter: word, the word in question
  • return the string "Hard" if the number of consonants are more (or equal) than twice the number of vowels.
  • return "Easy" otherwise.


The Pascal triangle consist of binomial coefficients, find details on Wikipedia.

Write a function that calculates some lines of the triangle and returns it as a list of lists. First list is [1], second is of length 2, and so on.

The function should have one parameter: n, the number of rows to calculate.

For example the result of pascal(4) should be:

   [1, 1],
   [1, 2, 1],
   [1, 3, 3, 1]

Use the fact that a coefficient is the sum of the two elements above it.


After the midterm, you want to program a query system, where the students can ask their points with their Neptun code. They enter their Neptun code and the grade should be returned.

Write a python function called get_grade that

  • has two parameters:
    • percents a dict where the keys are the NEPTUN codes and the values are the result of that student in percents.
    • neptun the Neptun code of the student in question
  • return the grade of this student

The grading system is as this:

  • below 40%: 1
  • from 40% and above: 2
  • from 55% and above: 3
  • from 70% and above: 4
  • from 85% and above: 5

Top grades

After evaluating the midterm results, you want to select the top performing students to congratulate them.

You have to write a similar function called topgrades that

  • has one parameter: percents, a dict like before. The keys are the neptun codes, the values are the results in percent.
  • return the list of neptun codes of those who got the top grade (5)


You can use the previous function.


Louis and his friends play soccer every weekend and they want to know who scored the most goals at the end of the season. Louis asked you to write a python function for them to track their scores.

The function should be names goals with three parameters:

  • results the results so far, a dictionary where the keys are the players and the values are their total scores up to this point in time.
  • player is a string, the name of a player
  • goal an integer, how much goals did he/she scored during the last game.

The function should update the results by adding the scores of the person to the previous scores. Mind that if the player scored for the first time in this season then the dictionary won't contain his/her name but you have to add it to the dictionary.

Return the updated results dictionary.

Inventory update

A warehouse keeps its inventory in a python list where every item has an integer ID. During an inventory update they want to change the IDs of certain items.

Write a python function called inventoryupdate that

  • has two paremeters:
    • inventory a list of the items represented by their IDs. The same ID can appear multiple times if they have more than one of that item.
    • newid a dictionary representing the changes. The keys are the old IDs and the values are the new IDs. If an item doesn't change its ID then it is not even included in this dictionary.
  • return the updated inventory (a list of new IDs) where every item is changed according to the updates dictionary, or has the same ID if it was not changed. Don't change the order of the inventory.
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