Given an integer N, the task is to find all distinct co-prime sets up to the given integer N such that an element doesn’t appear in more than a set.
Input: N = 5
Output: (1, 2) (3, 4, 5)
Input: N = 6
Output: (1, 2) (3, 4) (5, 6)
- To solve the problem mentioned above, we can observe that if N is less than 4 then all the elements are already co-prime till N because they will always have GCD as 1. Thus, for N = [1, 3], the possible coprime sets are (1), (1, 2) and (1, 2, 3) respectively.
- For all the values of N > 3, there are two possible cases:
- If the value of N is even, then every set will contain 2 adjacent elements up to N itself since adjacent numbers are always co-prime to each other.
- If the value for integer N is odd, then every set will contain 2 adjacent element except the last set which will have last three elements.
Below is the implementation of the above approach:
(1, 2) (3, 4, 5)
- Partition first N natural number into two sets such that their sum is not coprime
- Print all Coprime path of a Binary Tree
- Find the length of the Largest subset such that all elements are Pairwise Coprime
- Count all pairs of divisors of a number N whose sum is coprime with N
- Check if all the pairs of an array are coprime with each other
- Split an array containing N elements into K sets of distinct elements
- Finding a Non Transitive Coprime Triplet in a Range
- Largest number less than or equal to N/2 which is coprime to N
- Composite XOR and Coprime AND
- Length of the longest increasing subsequence such that no two adjacent elements are coprime
- Largest Coprime Set Between two integers
- Coprime divisors of a number
- Count of integers up to N which are non divisors and non coprime with N
- Possible two sets from first N natural numbers difference of sums as D
- All possible co-prime distinct element pairs within a range [L, R]
- Find sum of f(s) for all the chosen sets from the given array
- Print all distinct permutations of a given string with duplicates
- Print a number strictly less than a given number such that all its digits are distinct.
- Minimum LCM and GCD possible among all possible sub-arrays
- Length of array pair formed where one contains all distinct elements and other all same elements
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