
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
Old cobbler Karl made a pair of boots and sent his son Hans to the market to sell them for 25 talers. At the market, two disabled men (one without a left leg and the other without a right leg) asked to buy one boot each. Hans agreed and sold each boot for 12.5 talers.

When the boy came home and told his father, Karl decided that the boots should have been sold cheaper - 10 talers per boot. He gave Hans 5 talers and told him to return 2.5 talers to each disabled man.

While Hans was looking for the disabled men at the market, he saw sweets being sold and couldn't resist spending 3 talers on candies. After that, he found the disabled men and gave each of them 1 taler. On his way home, Hans realized how wrong his actions were. He told everything to his father and asked for forgiveness. The cobbler got very angry and punished his son by locking him in a dark closet.

While sitting in the closet, Hans thought. It turned out that since he returned 1 taler to each, the disabled men paid 11.5 talers for each boot: 
$12.5-1=11.5$. 
Thus, the boots cost 23 talers: 
$2 \cdot 11.5=23$. 
And Hans spent 3 talers on candies, so the total is 26 talers: 
$23+3=26$. 
But there were only 25 talers! Where did the extra taler come from?

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