COSC 130 - Homework 04

def dot_product(x,y):
    sum=0
    for i,j in zip(x,y):
        sum+=i*j
    return sum


v1 = [38, 9, 40, 34, 20, 16, 42, 36, 12, 1, 23, 46, 31, 19, 30, 33, 16, 43, 24, 41]

v2 = [43, 13, 35, 14, 26, 3, 36, 15, 42, 44, 45, 20, 17, 6, 47, 40, 38, 41, 31, 24]
print(f'The dot product of v1 and v2 is {dot_product(v1,v2)}')

def count_payments(amount, rate, pmt):
    balance = amount
    count = 0
    while balance > 0:
        balance = (balance * (1 + (rate/100))) - pmt
        balance = round(balance, 2)
        count += 1
    return count

for i in range(5):
    pmt = 850 + (i * 50)
    print("{} monthly payments of ${} would be required.".format(count_payments(160000, 0.4, pmt), pmt))

print()
for i in range(5):
    pmt = 850 + (i * 50)
    print("{} monthly payments of ${} would be required.".format(count_payments(160000, 0.35, pmt), pmt))

def minimum(x):
    smallest = x[0]
    for i in x:
        if i < smallest:
            smallest = i
    return smallest

list1 = [9.8, 7.4, 5.6, 4.8, 4.8, 5.3, 4.1, 9.6, 5.4]
list2 = [3.4, 7.6, 8.7, 7.5, 9.8, 7.5, 6.7, 8.7, 8.4]
list3 = ['St. Louis', 'Kansas City', 'Chicago', 'Little Rock', 'Omaha']

print(minimum(list1))
print(minimum(list2))
print(minimum(list3))

def argmin(x):
    index = -1
    for i in range(len(x)):
        if index == -1 or x[i] < x[index]:
            # updating index to i
            index = i
    return index


list1 = [9.8, 7.4, 5.6, 4.8, 4.8, 5.3, 4.1, 9.6, 5.4]
list2 = [3.4, 7.6, 8.7, 7.5, 9.8, 7.5, 6.7, 8.7, 8.4]
list3 = ['St. Louis', 'Kansas City', 'Chicago', 'Little Rock', 'Omaha']

print(argmin(list1))
print(argmin(list2))
print(argmin(list3))

def find_smallest(x, n = None):
    x_copy = sorted(x)
    if(n == None) :
        return x_copy[0]
    else :
        if n > len(x_copy):
            n = len(x_copy)
        result = x_copy[0:n]

        return result

my_list = [39, 74, 28, 64, 17, 28, 54, 53]
print(find_smallest(my_list))
print(find_smallest(my_list, 1))
print(find_smallest(my_list, 2))
print(find_smallest(my_list, 5))
print(find_smallest(my_list, 12))

print(my_list)

def unique(lst):
    result = []
    for i in range(len(lst)):
        if lst[i] not in result:
            result.append(lst[i])
    result.sort()
    return result

int_list = [23, 16, 23, 12, 14, 23, 12, 19, 19]
str_list = ['cat', 'dog', 'dog', 'cat', 'bat', 'frog', 'dog', 'frog']
print(unique(int_list))
print(unique(str_list))

def freq_dist(mylist):
    mylist.sort()
    values = unique(mylist)
    counts = []
    for element in values:
        freq = mylist.count(element)
        counts.append(freq)
        return (values, counts)

grades = ['A', 'D', 'A', 'C', 'B', 'F', 'A', 'D', 'C',
 'B', 'F', 'A', 'C', 'B', 'A', 'B', 'B', 'C',
 'B', 'F', 'D', 'D', 'A', 'C', 'B', 'B', 'D']

(values, counts) = freq_dist(grades)

print("Unique Values:",values)

print("Frequencies: ",counts)

def mean(x,w=None):
    if(w is None):
        return sum(x)/len(x)
    else:
        for i in range(len(x)):
            x[i] = x[i]*w[i]
            return sum(x)/sum(w) 

x = [4,7,3,5,2,6,8,2,4,8]
w = None
print('Standard Mean: ',mean(x))
w = [2,1,3,1,2,3,1,4,2,1]
print('Weighted Mean: ',mean(x,w))