
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 function $f(x)=-x^{2}+ax+b$ $(a,b\in\mathbb{R})$ has a range of $(-\infty,0]$, if the solution set of the inequality $f(x) > c-1$ is $(m-4,m+1)$, then the value of the real number $c$ is \_\_\_\_\_\_.

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