algorithm to count digits in a number

This article is being improved by another user right now. Keep repeating steps 1 and 2 until the value of. (A modification to) Jon Prez Laraudogoitas "Beautiful Supertask" time-translation invariance holds but energy conservation fails? However, for big numbers, this approach would take a huge amount of time. Count the Number of Occurrence of a Character in String, Count the Occurrence of an Item in a List. Alex Reisner points to a very interesting mathematical law that, unfortunately, doesnt seem to be relevant to this problem. But the very last loop can get expensive, 22 cycles in example but pontentialy 999, for some inputs it could really stretch things out. Very interesting, compact code, you have sort of folded up the basic loop. poweroTen(notinc) it is visible that different pattern - digits used in all numbers, in all numbers from 1 to 1000; (0 94905) (1 188700) (2 177600) (3 166500) (4 155400) (5 144300) (6 133200) (7 122100) (8 111000) (9 99900). http://www.artofproblemsolving.com/Forum/viewtopic.php?p=1741600#1741600. Figuring out the padding zeros is a bit ugly, but the revised code (C-style pseudocode) handles it: As you can see, it's gotten a bit uglier but it still runs in O(log n) time, so if you need to handle numbers in the billions, this will still give you instant results. Code appears to contain infinite recursion. The edge cases are the powers of 10 which need to be . Find needed capacitance of charged capacitor with constant power load, Generalise a logarithmic integral related to Zeta function. But this method too will take huge comutation time for large inputs(like when the limits are 1 to 10^9). algorithm - Counting number of digits in a number in O (1) - Stack Overflow Counting number of digits in a number in O (1) Ask Question Asked 11 years, 1 month ago Modified 2 years, 3 months ago Viewed 6k times 3 I need to count the number of decimal digits in a number (for ex: 4 for 1002). Then the test expression of the loop is evaluated to false and the loop terminates. By clicking Post Your Answer, you agree to our terms of service and acknowledge that you have read and understand our privacy policy and code of conduct. (from a start to end bazzogles me). If num > 0 then increment count by 1 i.e. Recursive implementation of the same is . So there are no loops everything is calculated with division. I would repeat this for all the no.s between the limits,each time initializing the array 'a' indexes to 0. We use cookies to give you the best experience, as detailed in our Using a for loop and above observation keep on dividing X by 10 and increment the count in every iteration when X equals 0 terminate the loop and the count will have the number of digits in N. Ltd. All rights reserved. So we have to apply the same logic here also. How can kaiju exist in nature and not significantly alter civilization? By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. If you would like to see the full source code or run the benchmark, use these links: noahlavine solution may be correct, but l just couldnt follow the pseudo code, I think there are some details missing or not completely explained. Find a number x such that sum of x and its digits is equal to given n. Smallest x such that 1*n, 2*n, x*n have all digits from 1 to 9, Find all Autobiographical Numbers with given number of digits. Count the number of zero digit in an integer number? Count number of 1's in binary representation - Stack Overflow Circlip removal when pliers are too large. One of the math guys wrote a solution using mathematical notation. Step3: Take a while loop and check for condition (number > 0) Step4: And in the while block do these two statements while (number>0) Using a loop whether it be a while or recursive loop. Your approach is fine. Try hands-on C Programming with Programiz PRO. Initialize another variable to store total digits say count = 0. Special thanks toHarsh Vermafor contributing to this article on takeUforward. How to write an algorithm to count the number of digits in an - Quora Does the US have a duty to negotiate the release of detained US citizens in the DPRK? Aaronaught solution seems to be correct, but the code is just too complex for my taste. Yes, it is instructive. Asking for help, clarification, or responding to other answers. Sorting algorithms are a set of instructions that take an array or list as an input and arrange the items into a particular order. Note that this algorithm solves the problem without leading zeros. Physical interpretation of the inner product between two quantum states. Input a number from user. We'll also analyze the different methods to figure out which algorithm would best fit each situation. Why do we need github.com/bitcoin-core, when we already have github.com/bitcoin/bitcoin? C Program to Count Number of Digits in an Integer The complexity is proportional to the number of digits. To learn more, see our tips on writing great answers. Your question seems odd. John at CashCommons and Wayne Conrad comment that my current approach is good and fast enough. For example: If the user enters 2319, the output of the program will be 4. Initialize another variable to store total digits say count = 0. Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. Logic to find total occurrences of each digits in a given number in C program. It is usual to start counting the digits required from the start room number to the end room number in a left to right fashion, so for the above we have one 1, one 2, one 3 one 9, two 1's one zero, four 1's etc. lets say we input 342567 so the no. To subscribe to this RSS feed, copy and paste this URL into your RSS reader. Is it better to use swiss pass or rent a car? Have you tried anything ? Does glide ratio improve with increase in scale? By clicking Post Your Answer, you agree to our terms of service and acknowledge that you have read and understand our privacy policy and code of conduct. noahlavine developed an algorithm and presented it in pseudocode. A car dealership sent a 8300 form after I paid $10k in cash for a car. Answers review Again can ignore the first 10 zeroes as we know they are leading. Anyway, i couldnt quite follow any of the answers completely, except my own, because it was incomplete! If num > 0 then increment count by 1 i.e. To subscribe to this RSS feed, copy and paste this URL into your RSS reader. the answer. 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Another method i thought was to take an array(a[10]) of size 10 where each index would store the frequecy of each digit of a certain no. Or there is no such limit? We know that in programming languages when we divide X by Y it will result in an integer (given both the variables are integers). For instance, if we divide 1234 by 10, the result will be 123. I think you can reckon this (pseudo C): Separate digits implements the function in the link. For Eg. how to count the number of digits assembly code? Note: The value stored in the variable is int hence the digit should be in between -32,768 to 32,767 or -2,147,483,648 to 2,147,483,647 To learn more, see our tips on writing great answers. This is whatever the result is for 399, plus the range 400-445. You need to sort out the problems with the algorithm before coding. Increment the counter value each time. What I would suggest is that you compute the answer for the numbers having a fixed number of digits separately. Now I think I got the problem. For the numbers with count of digits equal to our number a it is a bit trickier. We know that for each multiple of 100, each digit occurs at least 20 times, but we have to compensate for the number of times it appears in the most-significant-digit position, which is going to be exactly 100 for digits 0-3, and exactly zero for all other digits. acknowledge that you have read and understood our. Join our newsletter for the latest updates. Keep repeating steps 1 and 2 until the value of N becomes 0. 592), Stack Overflow at WeAreDevelopers World Congress in Berlin, Temporary policy: Generative AI (e.g., ChatGPT) is banned. In the 3rd iteration 4562 enters the loop a becomes 456 and n becomes 3. b/w the limits,and if we get an index where freq exceeds 1,that no would be discarded. Here's simple program to Count number of digits using recursion in C Programming Language. as we are counting the digits, as long as the loop will run we will add the 1 to the variable. algorithm - Counting numbers that have an even number of digits - Code Here, then, is what I would do: Oh, and since the value of i increases by one each time, keep track of your old 10^i and just multiply it by 10 to get the new one, instead of exponentiating each time. Here it is, written in C: Andres suggests the same algorithm Im using, but extracting digits with %10 operations instead of substrings. and, are there better solutions for this? Here, 1234 has 4 digits whereas 123 has only three digits. Was the release of "Barbie" intentionally coordinated to be on the same day as "Oppenheimer"? In programming languages, if a program allows you to call a function inside the same function, then it is called a recursive call of the function. (BTW I had to lookup 'chuffed' at urbandictionary.com I wasn't sure it was a good thing :-). Using a loop whether it be a while or recursive loop. Find nth number that contains the digit k or divisible by k. Sum of last digit of all integers from 1 to N divisible by M, First digit in product of an array of numbers, Minimum possible number with the given operation, Check if all digits of a number divide it, Find maximum number that can be formed using digits of a given number, Print first k digits of 1/n where n is a positive integer, Find the occurrences of digit d in the range [0..n], Numbers having difference with digit sum more than s, Numbers in a Range with given Digital Root, Program to check if a given number is Lucky (all digits are different), Find numbers from 1 to N with exactly 3 divisors, Merge K Sorted Linked Lists using Min Heap. (Bathroom Shower Ceiling). Connect and share knowledge within a single location that is structured and easy to search. I am running the code with glibc on an x86 machine. C Program to Count Digits,White Space,Others - Computer Notes Why does ksh93 not support %T format specifier of its built-in printf in AIX? Does glide ratio improve with increase in scale? Im chuffed you found my post helpful Carlos :) Your submitted code is suprisingly compact and powerful (with the leading zeros capability), but i cant read it. Print a number strictly less than a given number such that all its digits are distinct. By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. The third digit is 6 5 times and 5 100-24 times. After taking the input from the user, run one while loop that runs until the user . Sorts are most commonly in numerical or a form of alphabetical (or lexicographical) order, and can be in ascending (A-Z, 0-9) or descending (Z-A, 9-0) order. For example, if you choose a set of numbers at random, 30% of them will start with "1", which is somewhat counter-intuitive. 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C program to count frequency of digits in an integer Wait till the Nov12 competition is over at codechef. This can be done in O(n^2) which apparently is way better then what you suggest. Using a log but that is applicable only for positive numbers. hehe. After reading all the answers, and doing some experiments, I found that for a range of integer from 1 to 10n-1: The first formula was found by strainer (and probably by others), and I found the other two by trial and error (but they may be included in other answers). @Muad'Dib - Nope, real problem I solved in an application some time ago, just didn't like how I did it (I finished school about 20 years ago). If you have the number stored as a variable-length array using some library, this is O(1) time if the library precalculates the length of the array (the right thing to do), and O(N) time otherwise (bad libraries). Browse other questions tagged, Where developers & technologists share private knowledge with coworkers, Reach developers & technologists worldwide, The future of collective knowledge sharing. Anthology TV series, episodes include people forced to dance, waking up from a virtual reality and an acidic rain, Release my children from my debts at the time of my death. I would not use log to solve this problem as it involves double calculation and may turn out to be slower then the cycle by dividing by 10. The result for one millon seems to indicate there is a proportion, but the results for other number show different proportions. For example, if n = 6, range is 1 to 999,999: These numbers can be checked using High-Performance Mark results. How many numbers with different digits and 4 digits do you have? Step by step descriptive logic to count number of digits in given integer using loop. Third, count from 604 to 1004. Display Armstrong Number Between Two Intervals, Count the Number of Vowels, Consonants and so on, Find the Frequency of Characters in a String. Converting between numbers and strings is slow, and keeping things as numbers wherever possible is generally preferable. I use recursion for travelling "up" the columns until the max one is reached (in this case hundreds) and then back down totalling as it goes. Once the loop is over we have to print counter variable count containing the total number of digits. To understand this example, you should have the knowledge of the following C programming topics: This program takes an integer from the user and calculates the number of digits. By using our site, you Ask the user to enter an integer number. Thanks for contributing an answer to Stack Overflow! the tally should be modified as though counted from 0 to end-1, the adjustments can be inverted to remove preceeding range (start number). Example 1: Count Number of Digits in an Integer using while loop num = 3452 count = 0 while num != 0: num //= 10 count += 1 print("Number of digits: " + str (count)) Run Code Output Number of digits: 4 In this program, the while loop is iterated until the test expression num != 0 is evaluated to 0 (false). If you are asked to print the whole list, not much of an improvement can be made to the brute force algorithm. Finally of course do the units, ignoring the first zero as required. of integer so what we can do is divide it by 10.We divide until the number becomes zero so loop will run until the length Each position of the histogram will have the amount of each digit. It looks to me as though it loops through all the numbers similar to the basic method, and these function names arent very descriptive - (DigitsOneNumber). So the question boils down to, "how many digits are there in N, asymptotically?".A number with d digits is between 10^(d-1) inclusive and 10^d exclusive. rev2023.7.24.43543. Example Input Input any number: 116540 Output Frequency of 0 = 1 Frequency of 1 = 2 Frequency of 2 = 0 Frequency of 3 = 0 Frequency of 4 = 1 Frequency of 5 = 1 Frequency of 6 = 1 Frequency of 7 = 0 Frequency of 8 = 0 Frequency of 9 = 0 Required knowledge Count total number of digits from 1 to n - GeeksforGeeks Count total number of digits from 1 to n Read Discuss Courses Practice Given a number n, count the total number of digits required to write all numbers from 1 to n. Examples: Input : 13 Output : 17 Numbers from 1 to 13 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13. Either the title or the body of the question should be edited by the author, @izomorphius,@icepack:sorry for the ambiguous statement.i just need the count of no.s not the list, Algorithm to find count of numbers between 2 integers where digits do not repeat, Improving time to first byte: Q&A with Dana Lawson of Netlify, What its like to be on the Python Steering Council (Ep. Thanks for contributing an answer to Stack Overflow! Modified 3 years, 4 months . As our number is not zero it will Count Number of Digits in an Integer Number in C# Answer (1 of 2): Algorithm: [code]int n,count=0; scanf(n); if(n<0){ n*=-1; } while(n>0){ count++; n/=10; } printf(count); [/code]Python Code: [code]n=int(input("Enter . a becomes 45623 and we add a number 1 in n, n becomes 1. To count the number of digits in a number we have to divide that number by 10 until it becomes 0 or less than 0. It'll be great if you could provide pseudocode or a link to some example. of digits in the input integer. And lastly at hundredths place digits are 234 99 = 135 as only 1 99 are two digit numbers . Expand any one approach by clicking the given options in the bar. Hence, total number of digits we have to write are 234 ( 234 1 + 1 ) + 225 ( 234 10 + 1 ) + 135 ( 234 100 + 1 ) = 594 . here is a link describing permutations: http://en.wikipedia.org/wiki/Permutation. ), Frequency of MSD above any multiple of highest power of 10 (100-399), Frequency of any digits in remainder (400-445, R = 45), Count zeros in middle position for remainder range (404, 405), Subtract leading zeros only once (on outermost loop). Privacy Policy & Terms Of Condition & Affliate DisclosureCopyright ATechDaily 2020-23, Rat in A Maze Problem Algorithm and Flowchart, Algorithm and Flowchart for Quick Sort with implementation in Java, Algorithm and Flowchart to Find Area of Square, Algorithm and Flowchart to Reverse a String, Algorithm and Flowchart to find Largest of Three Numbers. of digits is 6. Algorithm to calculate the number of divisors of a given number Ask Question Asked 14 years, 10 months ago Modified 10 months ago Viewed 160k times 182 What would be the most optimal algorithm (performance-wise) to calculate the number of divisors of a given number? Don't give up an obvious algorithm unless you need more speed. For the numbers having less digits then a this is pretty straight forward - simply compute a variation. Is there a way to speak with vermin (spiders specifically)? Find needed capacitance of charged capacitor with constant power load. Python Program to Count the Number of Digits Present In a Number Connect and share knowledge within a single location that is structured and easy to search. Take 445 as an example. Solutions in any language or pseudocode are welcome. Connect and share knowledge within a single location that is structured and easy to search. and Get Certified. Digits at tens place are 234 9 = 225 as from 1 to 234 only 1 9 are single digit numbers . You will get the answer of, :if you could please explain you algo with an example;i am not getting it("compute the answer for the numbers having a fixed number of digits separately. What would naval warfare look like if Dreadnaughts never came to be? Program to count digits in an integer (4 Different Methods) Here's what I got: Next time you're ordering sticky digits for selling in your hardware store, order in these proportions, you won't be far wrong. Does this definition of an epimorphism work? I will not give you the exact solution but will try to give you some tips on how to approach similar problems. Algorithm to count the number of digits in a number. I'm not sure why you would ever need anything faster than what you've described. The only way to determine if an implementation of an O(log n) algorithm is actually faster than an implementation of an O(n) algorithm is to use a profiler. First thing is clear that we have to use a loop In the 1st iteration, comes a=a/10 so we divide 456235/10 ie. In the 2nd iteration 45623 enters the loop a becomes 4562 and n becomes 2. ChatGPT is transforming programming education. algorithms - Counting digits of a decimal number - Software Engineering To subscribe to this RSS feed, copy and paste this URL into your RSS reader. The last digit is 1 5 times. I wrote this in C# and can post code if anyone interested, haven't done any benchmark timings but it is essentially instant for values up to 10^18 rooms. tallies from 0 (included) to This doesn't answer your exact question, but it's interesting to note the distribution of first digits according to Benford's Law. I have seen this problem elsewhere and there you were only asked to give the number. Ltd. All rights reserved. In this range, the MSD occurs R more times, and all digits (including the MSD) also occur at the same frequencies they would from range [0 - R]. ChatGPT is transforming programming education. Find centralized, trusted content and collaborate around the technologies you use most. To go faster, for larger range of numbers, im looking for an optimised method of tallying all digits from 0 to number*10^significance Example: C #include <stdio.h> But if your numbers are uniformly distributed across. If you divide any number by 10 and store the result in an integer then it strips the last digit. a majordigit of tenpower: if these tally adjustments were applied for each significant digit, Share your suggestions to enhance the article. To speed up the last bit, look at the part about the rightmost two places. bitcount (n): count = 0 while n > 0: count = count + 1 n = n & (n-1) return count. Could not find this approach mentioned here or elsewhere so thought it might be useful for someone. In the above example, we first convert the integer value into string by using str(). Counting number of digits in a number in O(1) - Stack Overflow
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