
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system

István bought two car prize savings certificates worth 5000 Ft each. On the 20th day of the drawing quarter, he said to Kálmán: "Take one of my books. If we win, we will share the prize money as interest, proportional to our deposits and the elapsed time." The next day, Kálmán gave him 4000 Ft. One month later, István took 2500 Ft from László under the same terms. At the same time, Kálmán told Miklós: "Give me 2000 Ft. I have 4000 Ft in the joint car prize savings certificate. If it wins, we will split my share equally as if you had joined at the same time as I did." Miklós accepted the offer.

In the quarterly draw, both books won: one car was valued at 60000 Ft, the other at 48000 Ft. During the division of spoils, István wanted to keep the first car. The others agreed to split the value of the second car. Miklós learned only then that Kálmán’s deposit hadn’t been in for the whole quarter, which would reduce their winnings. As compensation, Kálmán agreed to calculate Miklós's share as if Miklós’s money had been in the deposit from the beginning of the quarter, at Kálmán’s expense.

After selling the second car, only 42000 Ft remained for distribution. How much did each of the four participants receive?

Present the answer in LaTex format: \boxed{Your answer}
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