# Find the most frequent digit without using array/string

Given an integer, find the most occurring digit in it. If two or more digits occur same number of times, then return the highest of them. Input integer is given as an int variable, not as a string or array. Use of hash or array or string is not allowed. **Example:**

Input: x = 12234 Output: The most frequent digit is 2 Input: x = 1223377 Output: The most frequent digit is 7 Input: x = 5 Output: The most frequent digit is 5 Input: x = 1000 Output: The most frequent digit is 0

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We could create a map of size 10 and store count of all digits, but use of any array/string is not allowed.

The idea is simple, we write a function that counts occurrences of a given digit in a given integer. Then we count all digits from 0 to 9 in given integer. We keep updating maximum count whenever count becomes more or same as previous count. Below is the implementation.

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## C++

`// Finds maximum occurring digit without using any array/string` `#include <bits/stdc++.h>` `using` `namespace` `std;` `// Simple function to count occurrences of digit d in x` `int` `countOccurrences(` `long` `int` `x, ` `int` `d)` `{` ` ` `int` `count = 0; ` `// Initialize count of digit d` ` ` `while` `(x)` ` ` `{` ` ` `// Increment count if current digit is same as d` ` ` `if` `(x%10 == d)` ` ` `count++;` ` ` `x = x/10;` ` ` `}` ` ` `return` `count;` `}` `// Returns the max occurring digit in x` `int` `maxOccurring(` `long` `int` `x)` `{` ` ` `// Handle negative number` ` ` `if` `(x < 0)` ` ` `x = -x;` ` ` `int` `result = 0; ` `// Initialize result which is a digit` ` ` `int` `max_count = 1; ` `// Initialize count of result` ` ` `// Traverse through all digits` ` ` `for` `(` `int` `d=0; d<=9; d++)` ` ` `{` ` ` `// Count occurrences of current digit` ` ` `int` `count = countOccurrences(x, d);` ` ` `// Update max_count and result if needed` ` ` `if` `(count >= max_count)` ` ` `{` ` ` `max_count = count;` ` ` `result = d;` ` ` `}` ` ` `}` ` ` `return` `result;` `}` `// Driver program` `int` `main()` `{` ` ` `long` `int` `x = 1223355;` ` ` `cout << ` `"Max occurring digit is "` `<< maxOccurring(x);` ` ` `return` `0;` `}` |

## Java

`// Finds maximum occurring digit` `// without using any array/string` `import` `java.io.*;` `class` `GFG` `{` ` ` `// Simple function to count` `// occurrences of digit d in x` `static` `int` `countOccurrences(` `int` `x,` ` ` `int` `d)` `{` ` ` `// Initialize count` ` ` `// of digit d` ` ` `int` `count = ` `0` `;` ` ` `while` `(x > ` `0` `)` ` ` `{` ` ` `// Increment count if` ` ` `// current digit is` ` ` `// same as d` ` ` `if` `(x % ` `10` `== d)` ` ` `count++;` ` ` `x = x / ` `10` `;` ` ` `}` ` ` `return` `count;` `}` `// Returns the max` `// occurring digit in x` `static` `int` `maxOccurring( ` `int` `x)` `{` ` ` `// Handle negative number` `if` `(x < ` `0` `)` ` ` `x = -x;` `// Initialize result` `// which is a digit` `int` `result = ` `0` `;` `// Initialize count` `// of result` `int` `max_count = ` `1` `;` `// Traverse through` `// all digits` `for` `(` `int` `d = ` `0` `; d <= ` `9` `; d++)` `{` ` ` `// Count occurrences` ` ` `// of current digit` ` ` `int` `count = countOccurrences(x, d);` ` ` `// Update max_count` ` ` `// and result if needed` ` ` `if` `(count >= max_count)` ` ` `{` ` ` `max_count = count;` ` ` `result = d;` ` ` `}` `}` `return` `result;` `}` `// Driver Code` `public` `static` `void` `main (String[] args)` `{` ` ` `int` `x = ` `1223355` `;` ` ` `System.out.println(` `"Max occurring digit is "` `+` ` ` `maxOccurring(x));` ` ` `}` `}` `// This code is contributed` `// by akt_mit` |

## Python3

`# Finds maximum occurring digit` `# without using any array/string` `# Simple function to count` `# occurrences of digit d in x` `def` `countOccurrences(x, d):` ` ` `count ` `=` `0` `; ` `# Initialize count` ` ` `# of digit d` ` ` `while` `(x):` ` ` ` ` `# Increment count if current` ` ` `# digit is same as d` ` ` `if` `(x ` `%` `10` `=` `=` `d):` ` ` `count ` `+` `=` `1` `;` ` ` `x ` `=` `int` `(x ` `/` `10` `);` ` ` `return` `count;` `# Returns the max occurring` `# digit in x` `def` `maxOccurring(x):` ` ` ` ` `# Handle negative number` ` ` `if` `(x < ` `0` `):` ` ` `x ` `=` `-` `x;` ` ` ` ` `result ` `=` `0` `; ` `# Initialize result` ` ` `# which is a digit` ` ` `max_count ` `=` `1` `; ` `# Initialize count` ` ` `# of result` ` ` ` ` `# Traverse through all digits` ` ` `for` `d ` `in` `range` `(` `10` `):` ` ` ` ` `# Count occurrences of current digit` ` ` `count ` `=` `countOccurrences(x, d);` ` ` ` ` `# Update max_count and` ` ` `# result if needed` ` ` `if` `(count >` `=` `max_count):` ` ` `max_count ` `=` `count;` ` ` `result ` `=` `d;` ` ` ` ` `return` `result;` `# Driver Code` `x ` `=` `1223355` `;` `print` `(` `"Max occurring digit is"` `,` ` ` `maxOccurring(x));` `# This code is contributed by mits.` |

## C#

`// Finds maximum occurring digit` `// without using any array/string` `class` `GFG` `{` ` ` `// Simple function to count` `// occurrences of digit d in x` `static` `int` `countOccurrences(` `int` `x, ` `int` `d)` `{` ` ` `// Initialize count` ` ` `// of digit d` ` ` `int` `count = 0;` ` ` `while` `(x > 0)` ` ` `{` ` ` `// Increment count if` ` ` `// current digit is` ` ` `// same as d` ` ` `if` `(x % 10 == d)` ` ` `count++;` ` ` `x = x / 10;` ` ` `}` ` ` `return` `count;` `}` `// Returns the max` `// occurring digit in x` `static` `int` `maxOccurring( ` `int` `x)` `{` ` ` `// Handle negative number` `if` `(x < 0)` ` ` `x = -x;` `// Initialize result` `// which is a digit` `int` `result = 0;` `// Initialize count` `// of result` `int` `max_count = 1;` `// Traverse through` `// all digits` `for` `(` `int` `d = 0; d <= 9; d++)` `{` ` ` `// Count occurrences` ` ` `// of current digit` ` ` `int` `count = countOccurrences(x, d);` ` ` `// Update max_count` ` ` `// and result if needed` ` ` `if` `(count >= max_count)` ` ` `{` ` ` `max_count = count;` ` ` `result = d;` ` ` `}` `}` `return` `result;` `}` `// Driver Code` `static` `void` `Main()` `{` ` ` `int` `x = 1223355;` ` ` `System.Console.WriteLine(` `"Max occurring digit is "` `+` ` ` `maxOccurring(x));` `}` `}` `// This code is contributed by mits` |

## PHP

`<?php` `// Finds maximum occurring digit` `// without using any array/string` `// Simple function to count` `// occurrences of digit d in x` `function` `countOccurrences(` `$x` `, ` `$d` `)` `{` ` ` `// Initialize count of digit d` ` ` `$count` `= 0;` ` ` `while` `(` `$x` `)` ` ` `{` ` ` `// Increment count if current` ` ` `// digit is same as d` ` ` `if` `(` `$x` `% 10 == ` `$d` `)` ` ` `$count` `++;` ` ` `$x` `= (int)(` `$x` `/ 10);` ` ` `}` ` ` `return` `$count` `;` `}` `// Returns the max occurring` `// digit in x` `function` `maxOccurring(` `$x` `)` `{` `// Handle negative number` `if` `(` `$x` `< 0)` ` ` `$x` `= -` `$x` `;` `$result` `= 0; ` `// Initialize result` ` ` `// which is a digit` `$max_count` `= 1; ` `// Initialize count of result` `// Traverse through all digits` `for` `(` `$d` `= 0; ` `$d` `<= 9; ` `$d` `++)` `{` ` ` `// Count occurrences of` ` ` `// current digit` ` ` `$count` `= countOccurrences(` `$x` `, ` `$d` `);` ` ` `// Update max_count and result` ` ` `// if needed` ` ` `if` `(` `$count` `>= ` `$max_count` `)` ` ` `{` ` ` `$max_count` `= ` `$count` `;` ` ` `$result` `= ` `$d` `;` ` ` `}` `}` `return` `$result` `;` `}` `// Driver Code` `$x` `= 1223355;` `echo` `"Max occurring digit is "` `.` ` ` `maxOccurring(` `$x` `);` `// This code is contributed by mits` `?>` |

## Javascript

`<script>` `// Finds maximum occurring digit` `// without using any array/string` ` ` `// Simple function to count` `// occurrences of digit d in x` `function` `countOccurrences(x, d)` `{` ` ` `// Initialize count` ` ` `// of digit d` ` ` `var` `count = 0;` ` ` `while` `(x > 0)` ` ` `{` ` ` `// Increment count if` ` ` `// current digit is` ` ` `// same as d` ` ` `if` `(x % 10 == d)` ` ` `count++;` ` ` `x = parseInt(x / 10);` ` ` `}` ` ` `return` `count;` `}` `// Returns the max` `// occurring digit in x` `function` `maxOccurring(x)` `{` ` ` ` ` `// Handle negative number` ` ` `if` `(x < 0)` ` ` `x = -x;` ` ` ` ` `// Initialize result` ` ` `// which is a digit` ` ` `var` `result = 0;` ` ` ` ` `// Initialize count` ` ` `// of result` ` ` `var` `max_count = 1;` ` ` ` ` `// Traverse through` ` ` `// all digits` ` ` `for` `(d = 0; d <= 9; d++)` ` ` `{` ` ` `// Count occurrences` ` ` `// of current digit` ` ` `var` `count = countOccurrences(x, d);` ` ` ` ` `// Update max_count` ` ` `// and result if needed` ` ` `if` `(count >= max_count)` ` ` `{` ` ` `max_count = count;` ` ` `result = d;` ` ` `}` ` ` `}` ` ` `return` `result;` `}` `// Driver Code` `var` `x = 1223355;` `document.write(` `"Max occurring digit is "` `+` ` ` `maxOccurring(x));` `// This code contributed by shikhasingrajput` `</script>` |

**Output:**

Max occurring digit is 5

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