
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
A math extracurricular group from a school is designing a tree planting scheme for a vacant plot of land on coordinate paper. The kth tree is planted at point $P_{k}(x_{k},y_{k})$, where $x_{1}=1$, $y_{1}=1$, and when $k \geqslant 2$,

$$
\begin{cases}
x_{k}=x_{k-1}+1-5\left[T\left( \frac {k-1}{5}\right)-T\left( \frac {k-2}{5}\right)\right]\\
y_{k}=y_{k-1}+T\left( \frac {k-1}{5}\right)-T\left( \frac {k-2}{5}\right)
\end{cases}
$$

$T(a)$ represents the integer part of the non-negative real number $a$, e.g., $T(2.6)=2$, $T(0.2)=0$. According to this scheme, the coordinates of the planting point for the 6th tree should be ___; the coordinates of the planting point for the 2016th tree should be ___.

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