<|im_start|>system
You are a helpful assistant. You first think about the reasoning process in the mind and then provide the user with the answer. You should try to truely solve the question by yourself without cheating.  <|im_end|>
<|im_start|>user
 A wolf saw a roe deer a few meters away and started chasing it along a straight forest path. The wolf's jump is $22\%$ shorter than the roe deer's jump. Both animals jump at a constant speed. All jumps of the roe deer are of the same length, and the wolf's jumps are also equal to each other. There is an interval of time during which both the wolf and the roe deer make some integer number of jumps. Each time it turns out that the wolf has made $t\%$ more jumps than the roe deer. Find the largest integer value of $t$ for which the wolf cannot catch up with the roe deer. Show your work in <think> </think> tags. And return the final answer in <answer> </answer> tags.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user
28
A wolf saw a roe deer a few meters away and started chasing it along a straight forest path. The wolf's jump is $22\%$ shorter than the roe deer's jump. Both animals jump at a constant speed. All jumps of the roe deer are of the same length, and the wolf's jumps are also equal to each other. There is an interval of time during which both the wolf and the roe deer make some integer number of jumps. Each time it turns out that the wolf has made $t\%$ more jumps than the roe deer. Find the largest integer value of $t$ for which the wolf cannot catch up with the roe deer.
test