How to Find the Sum of the Values of a While Loop - list

My program is set up so that I ask the user for a starting value and then for an ending value. The code is then supposed to take those values and in a 'while loop', output their every integer between the starting and ending value. Also, if the entered starting value is greater than the ending value, then the values are switched. Lastly, the values that were outputted, including the starting and ending values, are supposed to be summed up, but I am not quite sure how to accomplish this. Any help would be greatly appreciated.
My code is given below:
starting = int(input('Enter starting number: '))
ending = int(input('Enter ending number: '))
total = 0
while starting < ending + 1:
print(starting)
starting = starting + 1
while starting > ending + 1:
print(ending)
ending = ending + 1
for itervar in [int(starting) - int(ending)]:
total = total + itervar
print('Sum is ' + str(total))

Two changes will help your code.
If the start\end values need to be reversed, just use the tuple syntax
Do the sum first since the start variable will change later
Try this code:
starting = int(input('Enter starting number: '))
ending = int(input('Enter ending number: '))
total = 0
if starting > ending:
starting, ending = ending, starting # reverse start\end
for itervar in range(starting,ending+1): # do sum first
total = total + itervar
while starting < ending + 1: # print list in order, low to high
print(starting)
starting = starting + 1
print('Sum is ' + str(total))
Output
Enter starting number: 5
Enter ending number: 1
1
2
3
4
5
Sum is 15

Related

Cross sum calculation, Can anyone explain the code please?

i'm going to learn C++ at the very beginning and struggling with some challenges from university.
The task was to calculate the cross sum and to use modulo and divided operators only.
I have the solution below, but do not understand the mechanism..
Maybe anyone could provide some advice, or help to understand, whats going on.
I tried to figure out how the modulo operator works, and go through the code step by step, but still dont understand why theres need of the while statement.
#include <iostream>
using namespace std;
int main()
{
int input;
int crossSum = 0;
cout << "Number please: " << endl;
cin >> input;
while (input != 0)
{
crossSum = crossSum + input % 10;
input = input / 10;
}
cout << crossSum << endl;
system ("pause");
return 0;
}
Lets say my input number is 27. cross sum is 9
frist step: crossSum = crossSum + (input'27' % 10 ) // 0 + (modulo10 of 27 = 7) = 7
next step: input = input '27' / 10 // (27 / 10) = 2.7; Integer=2 ?
how to bring them together, and what does the while loop do? Thanks for help.
Just in case you're not sure:
The modulo operator, or %, divides the number to its left by the number to its right (its operands), and gives the remainder. As an example, 49 % 5 = 4.
Anyway,
The while loop takes a conditional statement, and will do the code in the following brackets over and over until that statement becomes false. In your code, while the input is not equal to zero, do some stuff.
To bring all of this together, every loop, you modulo your input by 10 - this will always return the last digit of a given Base-10 number. You add this onto a running sum (crossSum), and then divide the number by 10, basically moving the digits over by one space. The while loop makes sure that you do this until the number is done - for example, if the input is 104323959134, it has to loop 12 times until it's got all of the digits.
It seems that you are adding the digits present in the input number. Let's go through it with the help of an example, let input = 154.
Iteration1
crossSum= 0 + 154%10 = 4
Input = 154/10= 15
Iteration2
crossSum = 4 + 15%10 = 9
Input = 15/10 = 1
Iteration3
crossSum = 9 + 1%10 = 10
Input = 1/10 = 0
Now the while loop will not be executed since input = 0. Keep a habit of dry running through your code.
#include <iostream>
using namespace std;
int main()
{
int input;
int crossSum = 0;
cout << "Number please: " << endl;
cin >> input;
while (input != 0) // while your input is not 0
{
// means that when you have 123 and want to have the crosssum
// you first add 3 then 2 then 1
// mod 10 just gives you the most right digit
// example: 123 % 10 => 3
// 541 % 10 => 1 etc.
// crosssum means: crosssum(123) = 1 + 2 + 3
// so you need a mechanism to extract each digit
crossSum = crossSum + input % 10; // you add the LAST digit to your crosssum
// to make the number smaller (or move all digits one to the right)
// you divide it by 10 at some point the number will be 0 and the iteration
// will stop then.
input = input / 10;
}
cout << crossSum << endl;
system ("pause");
return 0;
}
but still dont understand why theres need of the while statement
Actually, there isn't need (in literal sense) for, number of digits being representable is limited.
Lets consider signed char instead of int: maximum number gets 127 then (8-bit char provided). So you could do:
crossSum = number % 10 + number / 10 % 10 + number / 100;
Same for int, but as that number is larger, you'd need 10 summands (32-bit int provided)... And: You'd always calculate the 10 summands, even for number 1, where actually all nine upper summands are equal to 0 anyway.
The while loop simplifies the matter: As long as there are yet digits left, the number is unequal to 0, so you continue, and as soon as no digits are left (number == 0), you stop iteration:
123 -> 12 -> 1 -> 0 // iteration stops, even if data type is able
^ ^ ^ // to store more digits
Marked digits form the summands for the cross sum.
Be aware that integer division always drops the decimal places, wheras modulo operation delivers the remainder, just as in your very first math lessons in school:
7 / 3 = 2, remainder 1
So % 10 will give you exactly the last (base 10) digit (the least significant one), and / 10 will drop this digit afterwards, to go on with next digit in next iteration.
You even could calculate the cross sum according to different bases (e. g. 16; base 2 would give you the number of 1-bits in binary representation).
Loop is used when we want to repeat some statements until a condition is true.
In your program, the following statements are repeated till the input becomes 0.
Retrieve the last digit of the input. (int digit = input % 10;)
Add the above retrieved digit to crosssum. (crosssum = crosssum + digit;)
Remove the last digit from the input. (input = input / 10;)
The above statements are repeated till the input becomes zero by repeatedly dividing it by 10. And all the digits in input are added to crosssum.
Hence, the variable crosssum is the sum of the digits of the variable input.

Need help implementing a certain logic that will fill a text to a certain width.

The task is to justify text within a certain width.
user inputs: Hello my name is Harrry. This is a sample text input that nobody
will enter.
output: What text width do you want?
user inputs: 15
output: |Hello my name|
|is Harrry. This|
|is a sample|
|text that|
|nobody will|
|enter. |
Basically, the line has to be 15 spaces wide including blank spaces. Also, if the next word in the line cant fit into 15, it will skip entirely. If there are multiple words in a line, it will try to distribute the spaces evenly between each word. See the line that says "Is a sample" for example.
I created a vector using getline(...) and all that and the entire text is saved in a vector. However, I'm kind of stuck on moving forward. I tried using multiple for loops, but I just cant seem to skip lines or even out the spacing at all.
Again, not looking or expecting anyone to solve this, but I'd appreciate it if you could guide me into the right direction in terms of logic/algorithm i should think about.
You should consider this Dynamic programming solution.
Split text into “good” lines
Since we don't know where we need to break the line for good justification, we start guessing where the break to be done to the paragraph. (That is we guess to determine whether we should break between two words and make the second word as start of the next line).
You notice something? We brutefore!
And note that if we can't find a word small enought to fit in the remaining space in the current line, we insert spaces inbetween the words in the current line. So, the space in the current line depends on the words that might go into the next or previous line. That's Dependency!
You are bruteforcing and you have dependency,there comes the DP!
Now lets define a state to identify the position on our path to solve this problem.
State: [i : j] ,which denotes line of words from ith word to jth word in the original sequence of words given as input.
Now, that you have state for the problem let us try to define how these states are related.
Since all our sub-problem states are just a pile of words, we can't just compare the words in each state and determine which one is better. Here better delineates to the use of line's width to hold maximum character and minimum spaces between the words in the particular line. So, we define a parameter, that would measure the goodness of the list of words from ith to jth words to make a line. (recall our definition of subproblem state). This is basically evaluating each of our subproblem state.
A simple comparison factor would be :
Define badness(i, j) for line of words[i : j].
For example,
Infinity if total length > page width,
else (page width − total length of words in current line)3
To make things even simple consider only suffix of the given text and apply this algorithm. This would reduce the DP table size from N*N to N.
So, For finishing lets make it clear what we want in DP terms,
subproblem = min. badness for suffix words[i :]
=⇒ No.of subproblems = Θ(n) where n = no of words
guessing = where to end first line, say i : j
=⇒ no. of choices for j = n − i = O(n)
recurrence relation between the subproblem:
• DP[i] = min(badness (i, j) + DP[j] for j in range (i + 1, n + 1))
• DP[n] = 0
=⇒ time per subproblem = Θ(n)
so, total time = Θ(n^2).
Also, I'll leave it to you how insert spaces between words after determining the words in each line.
Logic would be:
1) Put words in array
2) Loop though array of words
3) Count the number of chars in each word, and check until they are the text width or less (skip if more than textwidth). Remember the number of words that make up the total before going over 15 (example remember it took 3 words to get 9 characters, leaving space for 6 spaces)
4) Divide the number of spaces required by (number of words - 1)
5) Write those words, writing the same number of spaces each time.
Should give the desired effect I hope.
You obviously have some idea how to solve this, as you have already produced the sample output.
Perhaps re-solve your original problem writing down in words what you do in each step....
e.g.
Print text asking for sentence.
Take input
Split input into words.
Print text asking for width.
...
If you are stuck at any level, then expand the details into sub-steps.
I would look to separate the problem of working out a sequence of words which will fit onto a line.
Then how many spaces to add between each of the words.
Below is an example for printing one line after you find how many words to print and what is the starting word of the line.
std::cout << "|";
numOfSpaces = lineWidth - numOfCharsUsedByWords;
/*
* If we have three words |word1 word2 word3| in a line
* ideally the spaces to print between then are 1 less than the words
*/
int spaceChunks = numOfWordsInLine - 1;
/*
* Print the words from starting point to num of words
* you can print in a line
*/
for (j = 0; j < numOfWordsInLine; ++j) {
/*
* Calculation for the number of spaces to print
* after every word
*/
int spacesToPrint = 0;
if (spaceChunks <= 1) {
/*
* if one/two words then one
* chunk of spaces between so fill then up
*/
spacesToPrint = numOfSpaces;
} else {
/*
* Here its just segmenting a number into chunks
* example: segment 7 into 3 parts, will become 3 + 2 + 2
* 7 to 3 = (7%3) + (7/3) = 1 + 2 = 3
* 4 to 2 = (4%2) + (4/2) = 0 + 2 = 2
* 2 to 1 = (2%1) + (2/1) = 0 + 2 = 2
*/
spacesToPrint = (numOfSpaces % spaceChunks) + (numOfSpaces / spaceChunks);
}
numOfSpaces -= spacesToPrint;
spaceChunks--;
cout << words[j + lineStartIdx];
for (int space = 0; space < spacesToPrint; space++) {
std::cout << " ";
}
}
std::cout << "|" << std::endl;
Hope this code helps. Also you need to consider what happens if you set width less then the max word size.

I'm trying to sum up all the logs of the first 10 primes. Program not working

The result I'm getting after running the code in powershell is three numbers and then a freeze.
The numbers are
1.09861228867,
1.60943791243,
1.94591014906
#summing up all the logs of the first 10 primes, excluding 2.
from math import * # library imports
import math # " "
count = 1 #1-9 gives us 9 primes in total
numb = 3 #3 is the second prime number.
logy_of_prime_sum_total = 0 #sum of log of primes starts at zero
logy = 0 #first value of log is zero
while count != 10: #loops 9 times, for a total of 9 primes.
for k in range(2,numb): #from 2 up to but not including numb.
if numb%k == 0: #purpose is to skip the else if not prime.
break #break takes us out of the for/else disj.
else:
logy_of_prime_sum_total = logy+logy_of_prime_sum_total
logy = math.log(numb) #when the else activates, we are
print(logy) #dealing with a prime, getting a value
numb += 2 #the log of it, incr. numb. by two,
count += 1 #because primes have to be odd,
#increase the count
print logy_of_prime_sum_total #print the sum of all the logs after the
#while end.
The only issue you have is you are not increasing numb if numb happens to be composite. Just move numb += 2 to the end of the loop and unindent. When numb is composite, e.g. 9 (4th number) you are breaking out of the for loop and never incrementing numb (else on a for loop only executes if you don't break):
while count != 10:
for k in range(2,numb): #from 2 up to but not including prime.
if numb%k == 0:
break
else:
logy_of_prime_sum_total = logy+logy_of_prime_sum_total
logy = math.log(numb)
print(logy)
count += 1
numb += 2
print(logy_of_prime_sum_total)
Output:
1.0986122886681098
1.6094379124341003
1.9459101490553132
2.3978952727983707
2.5649493574615367
2.833213344056216
2.9444389791664403
3.1354942159291497
3.367295829986474
18.529951519569238
BTW: You need to start the count = 0 to get 10 numbers, you will currently only get 9.

How do you add up the odd positional numbers only in a UPC-12 validator

I just need ideas on how would i add up the odd positional numbers only. For example, if i had 012345678905, i would only need to add 0, 2,4, 6, 8 etc. What I currently have is basically a module (yet to be completed), and this program is asking me valadiate UPC-12 numbers. Im completly confused, as im not entirely sure what i'm doing. I haven't learned "len" (somthing like that) yet.
# Gets the digit of the number using the specified position
def get_digit(number, position):
return number / (10**position) % 10
def is_UPC12(number):
sum_odd = 0
sum_even = 0
#loops through the UPC code and checks every odd position and adds the numbers
for num in range(1, 13, 2):
sum_odd += get_digit(number, num)
sum_odd *= 3
#loops through the UPC code and checks every even position and adds the numbers
for num in range(2, 13, 2):
sum_of_even += even
sum_even += get_digit(number, num)
Sum = sum_of_odd + sum_of_even_two
#subtracts 10 from the last digit of the sum, and if it's equal to the last digit of number then it returns True.
if 10 - get_digit(Sum , 0) == get_digit(number , 0):
return True
elif 10 - get_digit(Sum , 0) == 10 and get_digit(number , 0) == 0:
return True
else:
return False
Have you considered using the modulus % operator? Ex. x % 2 = 0 is an even number.
One approach (not necessarily the best) is:
# get the number to be tested
test_number = raw_input("Enter number to validate: ")
# set an initial 'sum' value at zero
sum = 0
# iterate through the characters in the input string, only selecting odd position characters
for i in range((len(test_number)+1)/2):
# a test print statement to check that it's working
print test_number[i*2]
# add the value of the character (as int) to 'sum'
# note that this doesn't deal with exceptions
# (if the input is not numeric, it will throw an error)
sum += int(test_number[i*2])
# get the final sum
print "sum: " + str(sum)
EDITED - alternate approach
Another way is:
test_number = raw_input("Enter number to validate: ")
sum = 0
odd_numbers = test_number[::2]
for char in odd_numbers:
sum += int(char)
print "sum: " + str(sum)
where "odd_numbers" is a new string composed of the alternate characters from the original string (using the slice method with a step-size of 2).

How to print only last line in a while loop

count = 0
while count ** 2 < snum_:
print "Using search with increment 1, the root lies between", count,"and", count + 1
count = count + 1
How do I get the loop to only print the last possible line?
You can try this:
count = 0
while count < 4:
print('hi')
count += 1
else:
# Replace below string with what you wish.
print('end')
+= means count + 1. else is reached after while finishes (will not print, if you break the loop instead of letting it finish normally).
With a for-loop and itertools.count():
import itertools
for count in itertools.count(1):
if count**2 >= snum_:
print "Using search with increment 1, the root lies between %d and %d" % count-1, count
break
But the general idea can also be applied to your while loop: When count**2 is no longer less than snum_, print and break.
You could save the string you want to print and print it after the loop:
count = 0
result = ''
while count ** 2 < snum_:
result = "Using search with increment 1, the root lies between %d and %d" % count, count + 1
count = count + 1
print result