
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
There are three types of candies in a box: chocolate, hard candies, and jelly candies. There are a total of 110 candies. Excluding the jelly candies, there are 100 candies in the box. Excluding the chocolate candies, the number of candies is 20 more than the number of candies remaining when only hard candies are excluded. How many candies of each type are in the box?

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