# Convert A into B by incrementing or decrementing 1, 2, or 5 any number of times

• Last Updated : 23 Aug, 2021

Given two integers A and B, the task is to find the minimum number of moves needed to make A equal to B by incrementing or decrementing the A by either 1, 2, or 5 any number of times.

Examples:

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Input: A = 4, B = 0
Output: 2
Explanation:
Perform the operation as follows:

1. Decreasing the value of A by 2, modifies the value of A to (4 – 2) = 2.
2. Decreasing the value of A by 2 modifies the value of A to (2 – 2) = 0. Which is equal to B.

Therefore, the number of moves required is 2.

Input: A = 3, B = 9
Output: 2

Approach: The given problem can be solved by using the Greedy Approach. The idea is to first find the increment or decrements of 5, then 2, and then 1 is needed to convert A to B. Follow the steps below to solve the problem:

• Update the value of A as the absolute difference between A and B.
• Now, print the value of (A/5) + (A%5)/2 + (A%5)%2 as the minimum number of increments or decrements of 1, 2, or 5 to convert A into B.

Below is the implementation of the above approach:

## C++

 `// C++ program for the above approach``#include ``using` `namespace` `std;` `// Function to find minimum number of``// moves required to convert A into B``int` `minimumSteps(``int` `a, ``int` `b)``{``    ``// Stores the minimum number of``    ``// moves required``    ``int` `cnt = 0;` `    ``// Stores the absolute``    ``// difference``    ``a = ``abs``(a - b);` `    ``// FInd the number of moves``    ``cnt = (a / 5) + (a % 5) / 2 + (a % 5) % 2;` `    ``// Return cnt``    ``return` `cnt;``}` `// Driver Code``int` `main()``{``    ``// Input``    ``int` `A = 3, B = 9;``    ``// Function call``    ``cout << minimumSteps(A, B);``    ``return` `0;``}`

## Java

 `// Java program for the above approach``import` `java.io.*;` `class` `GFG``{``  ` `    ``// Function to find minimum number of``    ``// moves required to convert A into B``    ``static` `int` `minimumSteps(``int` `a, ``int` `b)``    ``{``      ` `        ``// Stores the minimum number of``        ``// moves required``        ``int` `cnt = ``0``;` `        ``// Stores the absolute``        ``// difference``        ``a = Math.abs(a - b);` `        ``// FInd the number of moves``        ``cnt = (a / ``5``) + (a % ``5``) / ``2` `+ (a % ``5``) % ``2``;` `        ``// Return cnt``        ``return` `cnt;``    ``}` `    ``// Driver Code``    ``public` `static` `void` `main(String[] args)``    ``{``        ``// Input``        ``int` `A = ``3``, B = ``9``;``        ``// Function call``        ``System.out.println(minimumSteps(A, B));``    ``}``}` ` ``// This code is contributed by Potta Lokesh`

## Python3

 `# python program for the above approach` `# Function to find minimum number of``# moves required to convert A into B``def` `minimumSteps(a, b):``  ` `    ``# Stores the minimum number of``    ``# moves required``    ``cnt ``=` `0` `    ``# Stores the absolute``    ``# difference``    ``a ``=` `abs``(a ``-` `b)` `    ``# FInd the number of moves``    ``cnt ``=` `(a``/``/``5``) ``+` `(a ``%` `5``)``/``/``2` `+` `(a ``%` `5``) ``%` `2``    ` `    ``# Return cnt``    ``return` `cnt`  `# Driver Code``# Input``A ``=` `3``B ``=` `9` `# Function call``print``(minimumSteps(A, B))` `# This code is contributed by amreshkumar3.`

## C#

 `// C# program for the above approach``using` `System;``using` `System.Collections.Generic;` `class` `GFG{` `// Function to find minimum number of``// moves required to convert A into B``static` `int` `minimumSteps(``int` `a, ``int` `b)``{``    ` `    ``// Stores the minimum number of``    ``// moves required``    ``int` `cnt = 0;` `    ``// Stores the absolute``    ``// difference``    ``a = Math.Abs(a - b);` `    ``// FInd the number of moves``    ``cnt = (a / 5) + (a % 5) / 2 + (a % 5) % 2;` `    ``// Return cnt``    ``return` `cnt;``}` `// Driver Code``public` `static` `void` `Main()``{``    ` `    ``// Input``    ``int` `A = 3, B = 9;``    ` `    ``// Function call``    ``Console.Write(minimumSteps(A, B));``}``}` `// This code is contributed by SURENDRA_GANGWAR`

## Javascript

 ``
Output
`2`

Time Complexity: O(1)
Auxiliary Space: O(1)

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