
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
Given a sequence of points as follows: $P_1(1,1)$, $P_2(1,2)$, $P_3(2,1)$, $P_4(1,3)$, $P_5(2,2)$, $P_6(3,1)$, $P_7(1,4)$, $P_8(2,3)$, $P_9(3,2)$, $P_{10}(4,1)$, $P_{11}(1,5)$, $P_{12}(2,4)$, ..., calculate the coordinates of $P_{60}$.

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