
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<sub>1</sub>(1, 1), P<sub>2</sub>(1, 2), P<sub>3</sub>(2, 1), P<sub>4</sub>(1, 3), P<sub>5</sub>(2, 2), P<sub>6</sub>(3, 1), P<sub>7</sub>(1, 4), P<sub>8</sub>(2, 3), P<sub>9</sub>(3, 2), P<sub>10</sub>(4, 1), P<sub>11</sub>(1, 5), P<sub>12</sub>(2, 4), ..., determine the coordinates of P<sub>60</sub>.

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