
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 the quadratic function $f(x)=x^{2}+bx+c$ satisfies $f(1)=f(3)=-3$.

(Ⅰ) Find the values of $b$ and $c$;  
(Ⅱ) If the function $g(x)$ is an odd function, and when $x \geqslant 0$, $g(x)=f(x)$,  
(i) Directly write down the interval of monotonic decrease for $g(x)$: \_\_\_\_\_\_;  
(ii) If $g(a) > a$, find the range of values for $a$.

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