
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 basketball teams are shown in a graph, but the team names are not listed. The clues below are given about the teams:

1. The Sharks won more games than the Falcons.
2. The Knights won more games than the Wolves, but fewer games than the Royals.
3. The Wolves won more than 25 games.

How many games did the Knights 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)--(4,15)--(8,15)--(8,0)--cycle),purple);
draw(shift(12,0)*((4,0)--(4,15)^^(8,0)--(8,15)));
draw((0,i*5)--(60,i*5)); ++i;

fill((4,0)--(4,20)--(8,20)--(8,0)--cycle,purple);
draw((4,0)--(4,20));
draw((8,0)--(8,20));

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

fill(shift(24,0)*((4,0)--(4,30)--(8,30)--(8,0)--cycle),purple);
draw(shift(24,0)*((4,0)--(4,30)^^(8,0)--(8,30)));
draw((0,i*5)--(60,i*5)); ++i;

fill(shift(36,0)*((4,0)--(4,35)--(8,35)--(8,0)--cycle),purple);
draw(shift(36,0)*((4,0)--(4,35)^^(8,0)--(8,35)));
draw((0,i*5)--(60,i*5)); ++i;

fill(shift(48,0)*((4,0)--(4,40)--(8,40)--(8,0)--cycle),purple);
draw(shift(48,0)*((4,0)--(4,40)^^(8,0)--(8,40)));
draw((0,i*5)--(60,i*5));

xaxis(Bottom,0,60,RightTicks(" ",N=5,n=1,Size=2));
yaxis(Left,0,45,LeftTicks(Step=5,Size=2));
yaxis(Right,0,45);

label("Basketball Results",(30,51));
label(rotate(90)*"Number of Wins",(-10,22.5));
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