
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

An expedition team was captured by bloodthirsty natives. The chief, after receiving rich gifts, allowed the captives to leave under the condition that half of them would be whipped. The expedition included 5 Englishmen and 5 native porters. To avoid being whipped, the Englishmen decided to form a circle as shown in a diagram and tasked a member named Pat Murphy to call out a number for a counting rhyme. The person on whom the counted number landed was taken out of the circle to be whipped, and the counting would continue from the next person until the designated number was again reached, and so on.

Pat Murphy, however, mixed up the number and started the count from the wrong person. As a result, all the Englishmen ended up being whipped, while the porters were spared.

Could you indicate:

1) The number that poor Pat called out and the person from whom the count started;
2) The number that should have been called and the person from whom the count should have started?

In each case, find the minimum number.

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