Merge Two sorted array Without Extra Space

Problem statement-

Given two sorted arrays arr1[] and arr2[] of sizes N and M in non-decreasing order. Merge them in sorted order without using any extra space. Modify arr1 so that it contains the first N elements and modify arr2 so that it contains the last M elements.

Example 1:

Input:

N = 4, arr1[] = [1 3 5 7]

M = 5, arr2[] = [0 2 6 8 9]

Output:

arr1[] = [0 1 2 3]

arr2[] = [5 6 7 8 9]

Explanation: After merging the two

non-decreasing arrays, we get,

0 1 2 3 5 6 7 8 9.

Example 2:

Input:

N = 2, arr1[] = [10, 12]

M = 3, arr2[] = [5 18 20]

Output:

arr1[] = [5 10]

arr2[] = [12 18 20]

Explanation: After merging two sorted arrays

we get 5 10 12 18 20.

You don't need to read input or print anything. You only need to complete the function merge() that takes arr1, arr2, N and M as input parameters and modifies them in-place so that they look like the sorted merged array when concatenated.

Expected Time Complexity:  O((n+m) log(n+m))

Expected Auxilliary Space: O(1)

Constraints:

1 <= X, Y <= 5*104

0 <= arr1i, arr2i <= 109

Solution-

There are 3 approach to solve this question.

1st the brute force approach in this case you will use one extra array of size(m+n ) and insert which element is smaller.

2nd-

you will iterate over array 1 and every time you will compare ith element with array2[0] element and if arr1[i] > arr2[0] you will swap them and apply insertion sort in

array 2.

3rd-

This is most efficient method

The idea: We start comparing elements that are far from each other rather than adjacent.

For every pass, we calculate the gap and compare the elements towards the right of the gap. Every pass, the gap reduces to the ceiling value of dividing by 2

credit - gfg

code-

codeforces rating system | Codeforces rating Newbie to Legendary Grandmaster

Codeforces rating system | Codeforces rating Newbie to Legendary Grandmaster- Codeforces is one of the most popular platforms for competitive programmers and  codeforces rating matters a lot  .  Competitive Programming  teaches you to find the easiest solution in the quickest possible way. CP enhances your problem-solving and debugging skills giving you real-time fun. It's brain-sport. As you start solving harder and harder problems in live-contests your analytical and rational thinking intensifies. To have a good codeforces profile makes a good impression on the interviewer. If you have a good  codeforces profile so it is very easy to get a referral for product base company like amazon, google , facebook etc.So in this blog I have explained everything about codeforces rating system. What are different titles on codeforces- based on rating codeforces divide rating into 10 part. Newbie Pupil Specialist Expert Candidate Codemaster Master International Master Grandmaster Internat

Apple Division CSES Problem Set Solution | CSES Problem Set Solution Apple division with code

Apple Division CSES Problem Set Solution | CSES Problem Set Solution Apple division with code - Apple Division CSES Problem Solution Easy Explanation. Apple division is problem is taken form cses introductory problem set.Let's Read Problem statement first. Problem Statement- Time limit:  1.00 s   Memory limit:  512 MB There are  n n  apples with known weights. Your task is to divide the apples into two groups so that the difference between the weights of the groups is minimal. Input The first input line has an integer  n n : the number of apples. The next line has  n n  integers  p 1 , p 2 , … , p n p 1 , p 2 , … , p n : the weight of each apple. Output Print one integer: the minimum difference between the weights of the groups. Constraints 1 ≤ n ≤ 20 1 ≤ n ≤ 20 1 ≤ p i ≤ 10 9 1 ≤ p i ≤ 10 9 Example Input: 5 3 2 7 4 1 Output: 1 Explanation: Group 1 has weights 2, 3 and 4 (total weight 9), and group 2 has weights 1 and 7 (total weight 8). Join Telegram channel for code discussi

Playlist CSES Problems set solution | searching ans sorting with code and explanation

Playlist CSES Problems set solution- Playlist problem statement- Time limit:  1.00 s   Memory limit:  512 MB You are given a playlist of a radio station since its establishment. The playlist has a total of  n n  songs. What is the longest sequence of successive songs where each song is unique? Input The first input line contains an integer  n n : the number of songs. The next line has  n n  integers  k 1 , k 2 , … , k n k 1 , k 2 , … , k n : the id number of each song. Output Print the length of the longest sequence of unique songs. Constraints 1 ≤ n ≤ 2 ⋅ 10 5 1 ≤ n ≤ 2 ⋅ 10 5 1 ≤ k i ≤ 10 9 1 ≤ k i ≤ 10 9 Example Input: 8 1 2 1 3 2 7 4 2 Output:5 Playlist CSE S Problems set solution- Step -1 store value in hashmap so that we can check that song played before or not. step -2 make two-pointer i and j if v[i] has occurred earlier remove all element till v[i] and update ans.new length will be (i-j). Step 3- if v[i]  not occurred simply update ans by one.