
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 number of games won by five cricket teams are displayed in the graph, but the names of the teams are unknown. Use the clues below to solve the problem:

1. The Sharks won more games than the Falcons.
2. The Warriors won more games than the Foxes, but fewer games than the Knights.
3. The Foxes won more than 15 games.

How many games did the Warriors win? [asy]
size(150);
defaultpen(linewidth(0.7pt)+fontsize(8));

int i = 1;

draw((0,i*5)--(60,i*5)); ++i;

fill(shift(12,0)*((4,0)--(4,10)--(8,10)--(8,0)--cycle),purple);
draw(shift(12,0)*((4,0)--(4,10)^^(8,0)--(8,10)));
draw((0,i*5)--(60,i*5)); ++i;

fill((4,0)--(4,15)--(8,15)--(8,0)--cycle,purple);
draw((4,0)--(4,15));
draw((8,0)--(8,15));

for(i = 3; i <= 4; ++i)
{
draw((0,i*5)--(60,i*5));
}

fill(shift(24,0)*((4,0)--(4,20)--(8,20)--(8,0)--cycle),purple);
draw(shift(24,0)*((4,0)--(4,20)^^(8,0)--(8,20)));
draw((0,i*5)--(60,i*5)); ++i;

fill(shift(36,0)*((4,0)--(4,25)--(8,25)--(8,0)--cycle),purple);
draw(shift(36,0)*((4,0)--(4,25)^^(8,0)--(8,25)));
draw((0,i*5)--(60,i*5)); ++i;

fill(shift(48,0)*((4,0)--(4,30)--(8,30)--(8,0)--cycle),purple);
draw(shift(48,0)*((4,0)--(4,30)^^(8,0)--(8,30)));
draw((0,i*5)--(60,i*5)); ++i;
draw((0,i*5)--(60,i*5));

xaxis(Bottom,0,60,RightTicks(" ",N=5,n=1,Size=2));
yaxis(Left,0,40,LeftTicks(Step=5,Size=2));
yaxis(Right,0,40);

label("Cricket Results",(30,46));
label(rotate(90)*"Number of Wins",(-10,20));
label("Teams",(30,-10));
for(i = 0; i < 5; ++i)
{
label("?",(6+12*i,-4));
}
[/asy]

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