Programming Articles

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Maximum difference of zeros and ones in binary string in C++

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 420 Views

Given the task is to find a sub-string from a given binary string and then the maximum difference between the number of zeroes and the ones.Let’s now understand what we have to do using an example −Inputstr = “100100110”Output2ExplanationIn the sub-array from the position 1 to 5 (“00100”), the difference between the zeros and ones = 4 – 1 = 3 which is the maximum that can be found.Inputstr = “00000”Output5Approach used in the below program as followsIn main() function create a string str to store the binary string. Also initialize a variable int size to store the size of ...

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Smallest Rectangle Enclosing Black Pixels in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 485 Views

Suppose we have an image and that image is represented by a binary matrix with 0 as a white pixel and 1 as a black pixel. Here the black pixels are connected, so there is only one black region. Pixels are connected horizontally and vertically. If we have a location (x, y) of one of the black pixels, we have to find the area of the smallest (axis-aligned) rectangle that encloses all black pixels.So, if the input is like001001100100and x = 0, y = 2, then the output will be 6To solve this, we will follow these steps −Define one ...

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Find maximum distance between any city and station in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 536 Views

ConceptWith respect of the given number of cities N numbered from 0 to N-1 and the cities in which stations are located, our task is to determine the maximum distance between any city and its nearest station. It should be noted that the cities with stations can be given in any order.InputnumOfCities = 6, stations = [2, 4]Output2InputnumOfCities = 6, stations = [4]Output4The following figure indicates the first example containing 6 cities and the cities with stations highlighted with green color. So, in this case, the farthestcities from its nearest stations are 0 at a distance of 2. Hence maximum ...

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Maximum distinct lowercase alphabets between two uppercase in C++

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 353 Views

Given the task is to find the maximum number of distinct lower case alphabets that are present between two upper case alphabets in the given string.Let’s now understand what we have to do using an example −Inputstr = “JKyubDoorG”Output3Explanation“yub” is present between the two upper case alphabets K and D which makes the count 3.“oor” is also present between the two upper case alphabets D and G which makes the count 2 as ‘o’ is a repeating alphabet and we are looking for distinct alphabets.Therefore, the output is 3.Inputstr = “ABcefsTaRpaep”Output4Approach used in the below program as followsIn function Max() ...

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Find maximum length Snake sequence in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 435 Views

ConceptWith respect of a given grid of numbers, determine maximum length Snake sequence and display it. It has been observed that if multiple snake sequences exist with the maximum length, display any one of them.Actually, a snake sequence is made up of adjacent numbers in the grid so that for each number, the number on the right or the number below it is either +1 or -1 its value. Here, for instance, if we are at location (a, b) in the grid, we can either move right i.e. (a, b+1) if that number is ± 1 or move down i.e. ...

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Maximum elements that can be made equal with k updates in C++

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 440 Views

Given the task is to find the maximum number of elements that can be made equal in a given array after incrementing its elements by at-most k times.Let’s now understand what we have to do using an example −Inputa[] = {1, 3, 8}, k = 4Output2ExplanationHere we can obtain two fours by incrementing 1 three times and incrementing 3 four times, that makes a[] = {4, 4, 8}Inputarr = {2, 5, 9}, k = 2Output0Approach used in the below program as followsIn main() function initialize int a[], size and k to store the array elements, size of array and the ...

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Find maximum N such that the sum of square of first N natural numbers is not more than X in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 547 Views

ConceptWith respect of a given integer X, our task is to determine the maximum value N so that the sum of first N natural numbers should not exceed X.InputX = 7Output22 is the maximum possible value of N because for N = 3, the sum of the series will exceed X i.e. 1^2 + 2^2 + 3^2 = 1 + 4 + 9 = 14InputX = 27Output33 is the maximum possible value of N because for N = 4, the sum of the series will exceed X i.e. 1^2 + 2^2 + 3^2 + 4^2 = 1 + 4 + ...

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Maximum elements which can be crossed using given units of a and b in C++

Sunidhi Bansal
Sunidhi Bansal
Updated on 11-Mar-2026 164 Views

Given a binary array arr[] and two variables a and b with some initial values. To cross an element in the array arr[] there are two ways −If arr[i] == 1, then 1 unit can be used from a, with no change in b. If 1 unit is used from b, then a increases by 1 unit. (Note that the value of a cannot be incremented above its original value.)If arr[i] == 0, then 1 unit can be used from a or b.Let’s now understand what we have to do using an example −Inputarr[] = {0, 0, 0, 1, 1}, ...

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Find maximum operations to reduce N to 1 in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 183 Views

ConceptWith respect of given two numbers P and Q ( P and Q can be up to 10^6 ) which forms a number N = (P!/Q!). Our task is to reduce N to 1 by performing maximum number of operations possible. Remember, in each operation, one can replace N with N/X if N is divisible by X. Determine the maximum number of operations that can be possible.InputA = 7, B = 4Output4ExplanationN is 210 and the divisors are 2, 3, 5, 7InputA = 3, B = 1Output2ExplanationN is 6 and the divisor are 2, 3.MethodIt has been observed that factorization ...

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Find maximum points which can be obtained by deleting elements from array in C++

Arnab Chakraborty
Arnab Chakraborty
Updated on 11-Mar-2026 210 Views

ConceptWith respect of a given array A having N elements and two integers l and r where, 1≤ ax ≤ 105 and 1≤ l≤ r≤ N. We can select any element of the array (let’s say ax) and delete it, and also delete all elements equal to ax+1, ax+2 … ax+R and ax-1, ax-2 … ax-L from the array. This step will cost ax points. Our task is to maximize the total cost after deleting all the elements from the array.Input2 1 2 3 2 2 1 l = 1, r = 1Output8Here, we choose 2 to delete, then (2-1)=1 ...

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