# We'll iterate over all possible values of x and y and then compute the corresponding z to check if it's an integer and non-negative.
count = 0

# Range for x (since 6x <= 300)
for x in range(0, 301//6 + 1):
    # Range for y (since 4y <= 300 - 6x)
    for y in range(0, (300 - 6*x)//4 + 1):
        z = 300 - 6*x - 4*y
        if z >= 0:  # z must be non-negative
            count += 1

print(count)

#x = num of $2
#y = num of $1
#z = num of $0.25
#2x + y + 0.25z = 100
#8x + 4y + z = 400
#z = 400 - 8x - 4y
#For z to be non-negitive:
#400 - 8x - 4y > 0
#400 - 8x > 4y
#4y < 400 - 8x
#y < 100 - 2x
#We can imply that 8x < 400 = x < 50
#x can be an interger between 0 and 50
#y can range from 0 to 100 - 2x
#