Reputation: 11
I am trying to make a for loop that will print all the numbers divisible by 7 from 0 to 100 and also numbers that contain 7, like this example: 7 14 17 21 27 28 and so on
I tried to do this:
for i in range(101):
if i%7==0 or i==range(7,98,10):
print(i)
but it prints this:
7 14 21 and so on
what should I do?
Upvotes: 1
Views: 13763
Reputation: 814
if you don't want to do '7' in number
and mathematically do it here is how you can
n = 7
i = 0
j = 100
# largest_multiple_of_n_smaller_than_j = (j - j%n) # 100 - 100%7 --> 100 -2 --> 98
# 98//7 --> 14
# therefore we can say 7 multiply i( where i goes from 0 --> 14) will be less than equal to 100
multiples_of_n = [n*i for i in range(0, ((j - j%n) // n) +1)] # 0 7 14 21 ....98
# 17 27 37..(dont pick 77 here)..97 and 71 72 73...77..79
contains_n = [i*10+n for i in range(1,10) if i != n] + [n*10+x for x in range(1,10) if (n*10+x) % n !=0]
'''
or use this
contains_n = [x for x in range(10+n,j,10) if x != n*11] + [x for x in range(n*10+1,n*10+10) if x % n !=0]
'''
mult_and_contain_n = sorted(multiples_of_n + contains_n)
print(mult_and_contain_n)
Output
n = 7
[0, 7, 14, 17, 21, 27, 28, 35, 37, 42, 47, 49, 56, 57, 63, 67, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 84, 87, 91, 97, 98]
n = 5
[0, 5, 10, 15, 15, 20, 25, 25, 30, 35, 35, 40, 45, 45, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 65, 65, 70, 75, 75, 80, 85, 85, 90, 95, 95, 100]
Upvotes: 2
Reputation: 1525
well actually when you do:
i == range(7, 98, 10)
you are comparing an integer with a iterable. So this condition always evaluates to False
.
What you want to do is to check whether the string representation of you number contains 7
. You can do:
'7' in str(i)
So globally, you could write the following:
for i in range(0, 101):
if i % 7 == 0 or '7' in str(i):
print i
Upvotes: 2
Reputation: 7850
As pointed out elsewhere, i == range(7,98,10)
doesn't really make sense, as you can't compare an integer to a range object. What you're actually trying to do is a membership test, which in python uses the in
keyword: i in range(7,98,10)
The next issue you'll find is that you're missing a class of numbers that contain the digit 7. Namely, the 70-79 range (although you'll get 70 and 77 from the other rules). Following your current strategy, your final answer might look like this:
for i in range(101):
if i % 7 == 0 or i in range(7, 98, 10) or i in range(70, 80):
print(i)
This is perfectly valid. You can also approach it mathematically, by noting that the numbers with a 7 ones digit will have a remainder of 7 when divided by 10 (known as the modulo operator, %
), and numbers with a 7 tens digit will have a quotient of 7 when divided by 10 (using integer division, //
).
for i in range(101):
if i % 7 == 0 or i % 10 == 7 or i // 10 == 7:
print(i)
Finally, there's a neat trick you can do since you're checking both division and mod by the same number; these two results will be given at the same time by the built-in divmod()
function. You just need to check if either of them are 7. (Note that this won't work if you expand beyond 2 digit numbers.)
for i in range(101):
if i % 7 == 0 or 7 in divmod(i, 10):
print(i)
(Note: I left the range of the for
loop the same as your sample code. This will include 0
in the output, since it is divisible by 7. If you don't want 0
, just change the range to range(1, 101)
.)
Upvotes: 3
Reputation: 4606
Using list comprehension and using not i % 7
along with the checking str(i)
contents for a 7
print([i for i in range(7, 101) if not i % 7 or '7' in str(i)])
# [7, 14, 17, 21, 27, 28, 35, 37, 42, 47, 49, 56, 57, 63, 67, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 84, 87, 91, 97, 98]
Upvotes: 1