# String s is divisible by string t

By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service. Stack Overflow for Teams is a private, secure spot for you and your coworkers to find and share information. Below, I have written an answer for n equals to 5, but you can apply same approach to draw DFAs for any value of n and 'any positional number system' e. In other words we can say; in transition diagram of complete DFA there is no missing edge e. In any automata, the purpose of a state is like memory element.

A state in an atomata stores some information like fan's switch that can tell whether the fan is in 'off' or in 'on' state. So, 5 states for 5 remainder values. In above figure q 0 is marked final state as two concentric circle. Step-2 : TD above is incomplete; and can only process strings of '0' s.

## Number of substrings divisible by 4 in a string of integers

Now add some more edges so that it can process subsequent number's strings. Check table below, shows new transition rules those can be added next step:. And the rule should be present to process strings like ''. And it is a complete DFA that can accept all possible binary strings those decimal equivalent is divisible by 5. If you notice at each step, in table there are three entries because at each step I add all possible outgoing edge from a state to make a complete DFA and I add an edge so that q r state gets for remainder is r!

To add further, remember union of two regular languages are also a regular. If you are asked to draw DFA that accepts binary strings such that decimal equivalent is divisible by 5 and 3 both then you are looking for DFA of divisible by 15 but what about 6 and 8?

Note: DFAs drawn with this technique will be minimized DFA only when there is no common factor between number n and base e. If you are interested to read further about possible mini states for number n and base b read paper: Divisibility and State Complexity. I am adding it I hope it can be helpful for someone in someway.

### Given two strings, find if first string is a subsequence of second

So we can apply above trick to draw DFA to recognize number strings in any base 'b' those are divisible a given number 'n'.Given a string consisting of integers 0 to 9. The task is to count the number of substrings which when converted into integer are divisible by 4. Substring may contain leading zeroes. Method 1: Brute Force The idea is to find all the substrings of the given string and check if substring is divisible by 4 or not.

Time Complexity: O. Efficient solution : A number is divisible by 4 if its last two digits are divisible by 4 and single-digit numbers divisible by 4 are 4, 8 and 0.

## Check if a large number is divisible by a number which is a power of 2

Then, we make all pairs of two consecutive characters and convert it into an integer. After converting it into integer we check that whether it is divisible by 4 or not. If it is divisible by 4 then all such substring ending with this last two characters are divisible by 4.

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Now, the number of such substrings are basically the index of 1st character of pair. Thus we get an O n solution. Below is the implementation of this approach. This article is contributed by Surya Priy. If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.

See your article appearing on the GeeksforGeeks main page and help other Geeks. Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above. Become industry ready at a student-friendly price. Writing code in comment? Please use ide. Examples: Input : "" Output : 4 Substrings divisible by 4 are "12", "4", "24", "".

Input : "04" Output : 3 Substring divisible by 4 are "0", "4", "04". If h is divisible we increases. Python 3 program to count the number of substrings. In the first loop we will count number of. In second loop we will convert pairs.Public Pastes. Reverse digits of Not a member of Pastebin yet? Sign Upit unlocks many cool features! Find whether a given string s is divisible by string t. If it is. If this is not. Help find the length of the smallest string x.

A string s is said to be divisible by string t if string t can be. String s is not divisible by string t, so. String s is divisible by string t. If string "lrbb" is concatenated 1 time, we get string. If string "rb" is concatenated 2 times, we get string. If it is divisible, find the length of the smallest string x such that if x is concatenated any number of times, we get both s and t. If this is not possible, then print A string s is said to be divisible by string t if string t can be concatenated some number of times to get string s.

String s is not divisible by string t, so the result is The smallest string x that can be concatenated to create both strings s and t is bcd. Its length is 3.

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Sample Input lrbb lrbb Sample Output 4 Explanation If string "lrbb" is concatenated 1 time, we get string s and string t. Sample Input rbrb rbrb Sample Output 2 Explanation If string "rb" is concatenated 2 times, we get string s and string t.

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By continuing to use Pastebin, you agree to our use of cookies as described in the Cookies Policy. OK, I Understand.Sometimes when designing in HelioScope, modules will not appear in the final report.

This is because the total number of modules is not evenly divisible by the string length, but this situation can occur for a number of potential reasons. When setting a single string length in HelioScope, it is important to check whether your total number of modules is evenly divisible by your string length. In this example, we have modules in our design. When setting our string length, we want to make sure that our total number of modules in this case is divisible by the string length. We have 9 strings of 16, but the additional modules are not enough to create another string of 16, and they will be removed in the final report.

Occasionally when designing in HelioScope, the suggested stringing range for an inverter is not going to be able to string all the modules in a design. This happens most often in residential systems when using string inverters, but can occur in commercial designs as well. In the example above, there are a total of 25 modules in our design. However, the inverter that we have selected has an automatic stringing range of modules.

There is no way to divide out 25 modules by groups of 9, 10, or 11 modules, and 3 modules end up not strung. By default, HelioScope is going to try to string as many modules as possible, so we have two strings of 11 modules in this case. Occasionally we will get users asking why HelioScope is not splitting their strings to different MPPS, and is only stringing a different string length. At the moment, HelioScope automatically splits strings to different MPPS if the user has a stringing range set for example 11 to For instance, if the user wanted to have 4 strings of 11 modules and 1 string of 12 modules, that would violate the power split limit and the automatic stringing would not allow it.

Why don't all the modules in the design appear in my report? This is because the total number of modules is not evenly divisible by the string length, but this situation can occur for a number of potential reasons Module Count not divisible by string length When setting a single string length in HelioScope, it is important to check whether your total number of modules is evenly divisible by your string length.

You can determine which modules aren't strung by looking at the bottom of the array and seeing which don't have a green string connected to them. Editing the string length of your inverter so all the modules will fit. In the case of this array, 15 to 15 would work as a string range, and give us 10 strings of 15 modules.

### Find if a given string can be represented from a substring by iterating the substring “n” times

Total modules not divisible by string range Occasionally when designing in HelioScope, the suggested stringing range for an inverter is not going to be able to string all the modules in a design. Why won't the program string the different MPPs in my design? Last updated on October 19, Upload file.Mathematicians have always loved generalizing mathematics to everything. They even contributed lots of optimizations and valuable formulas to Computer Science.

Have you heard about String Multiplication? What do you think will happen if we write the following code in python? Your task is simple. Given two strings S and T. What is the minimum number of characters which should be removed from S, so S is divisible by T? The first line contains string S consisting of lowercase English letters.

The second line contains string T consisting of lowercase English letters. For each test case print a single integer, the minimum number of characters which should be removed. Hint: Don't think about the tag Greedythis a adhoc problem with only one answer possible so called minimum number. Toggle navigation. Problems classical Divisible Strings Status Ranking. Input The first line of the input contains Q the number of the test cases.

Example Input: 4 babbaba ab dictate acid abc p q Output: 3 7 0 1. Submit solution! Do you know how to read a string but the length of string is 0? Thank You. All Rights Reserved.Given a large number in the form of a string str and a number Kthe task is to check if the number formed by string str is divisible by the K or not, where K is a power of 2.

Approach: Since K is a perfect power of 2. Let K can be represented as 2 X. Then according to the divisibility rule of perfect power of 2, if the last X digit of the given number is divisible by K then the given number is divisible by K.

Otherwise it is not divisible by K. Time Complexity: O Lenwhere Len is the length of the string. Auxiliary Space: O log 2 K. Become industry ready at a student-friendly price. If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute. See your article appearing on the GeeksforGeeks main page and help other Geeks. Please Improve this article if you find anything incorrect by clicking on the "Improve Article" button below.

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Load Comments. We use cookies to ensure you have the best browsing experience on our website.Given two strings str1 and str2, find if str1 is a subsequence of str2. A subsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements source: wiki. Expected time complexity is linear. The idea is simple, we traverse both strings from one side to other side say from rightmost character to leftmost. If we find a matching character, we move ahead in both strings.

Otherwise we move ahead only in str2. Following is Recursive Implementation of the above idea. This article is contributed by Sachin Gupta. Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above. Become industry ready at a student-friendly price. Writing code in comment? Please use ide. Sort the strings based on the numbers of matchsticks required to represent them Count of substrings of length K with exactly K distinct characters Remove odd frequency characters from the string Justify the given Text based on the given width of each line CamelCase Pattern Matching Java program to print Even length words in a String Shortest Palindromic Substring Check if the given string is shuffled substring of another string Longest Palindrome in a String formed by concatenating its prefix and suffix Move all occurence of letter 'x' from the string s to the end using Recursion Count ways to partition a string such that both parts have equal distinct characters Calculate the frequency of each word in the given string Program to check if a String in Java contains only whitespaces Bitwise XOR of a Binary array Check if given Parentheses expression is balanced or not.

Recursive Python program to check if a string is subsequence. Returns true if str1[] is a subsequence of str2[]. Base Cases. If last characters of two strings are matching.

If last characters are not matching. Driver program to test the above function. Write "Yes". Write "No".

Subarray Divisibility (AtCoder)