
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
The graph shows the birth month of 200 famous writers. What percent of these people have October as their birth month? Additionally, compare this percentage with the one for July and determine which month has a higher percentage of births.

[asy]
draw((0,0)--(24,0)--(24,20)--(0,20)--(0,0)--cycle,linewidth(1));

for(int i = 1; i < 20; ++i)
{
draw((-.5,i)--(24,i),gray);
}

filldraw((.5,0)--(1.5,0)--(1.5,4)--(.5,4)--(.5,0)--cycle,blue,linewidth(1));
filldraw((2.5,0)--(3.5,0)--(3.5,5)--(2.5,5)--(2.5,0)--cycle,blue,linewidth(1));
filldraw((4.5,0)--(5.5,0)--(5.5,10)--(4.5,10)--(4.5,0)--cycle,blue,linewidth(1));
filldraw((6.5,0)--(7.5,0)--(7.5,8)--(6.5,8)--(6.5,0)--cycle,blue,linewidth(1));
filldraw((8.5,0)--(9.5,0)--(9.5,7)--(8.5,7)--(8.5,0)--cycle,blue,linewidth(1));
filldraw((10.5,0)--(11.5,0)--(11.5,15)--(10.5,15)--(10.5,0)--cycle,blue,linewidth(1));
filldraw((12.5,0)--(13.5,0)--(13.5,14)--(12.5,14)--(12.5,0)--cycle,blue,linewidth(1));
filldraw((14.5,0)--(15.5,0)--(15.5,18)--(14.5,18)--(14.5,0)--cycle,blue,linewidth(1));
filldraw((16.5,0)--(17.5,0)--(17.5,9)--(16.5,9)--(16.5,0)--cycle,blue,linewidth(1));
filldraw((18.5,0)--(19.5,0)--(19.5,15)--(18.5,15)--(18.5,0)--cycle,blue,linewidth(1));
filldraw((20.5,0)--(21.5,0)--(21.5,12)--(20.5,12)--(20.5,0)--cycle,blue,linewidth(1));
filldraw((22.5,0)--(23.5,0)--(23.5,5)--(22.5,5)--(22.5,0)--cycle,blue,linewidth(1));

// Labels for months and numbers
label("Jan",(1,0),S);
label("Apr",(7,0),S);
label("Jul",(13,0),S);
label("Oct",(19,0),S);

label("0",(0,0),W);
label("5",(0,5),W);
label("10",(0,10),W);
label("15",(0,15),W);
label("20",(0,20),W);

label("Writers",(12,20),N);
label("Month",(12,-4));
label(rotate(90)*"Number of People",(-5,10));
[/asy]

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