Given a positive integer N, the task is to convert this integer to the maximum possible integer without leading zeroes by changing the digits. A digit X can only be changed into a digit Y if X + Y = 9.
Examples:
Input: N = 42
Output: 57
Change 4 -> 5 and 2 -> 7.
Input: N = 1
Output: 8
Approach: Only the digits which are greater than or equal to 5 need to be changed as changing the digits which are less than 5 will result in a larger number. After all the required digits have been updated, check whether the resultant number has a leading zero, if yes then change it to a 9.
Below is the implementation of the above approach:
// C++ implementation of the approach
#include <bits/stdc++.h>
using namespace std;
// Function to return the maximum possible
// integer that can be obtained from the
// given integer after performing
// the given operations
string maxInt(string str)
{
// For every digit
for (int i = 0; i < str.length(); i++) {
// Digits greater than or equal to 5
// need not to be changed as changing
// them will lead to a smaller number
if (str[i] < '5') {
str[i] = ('9' - str[i]) + '0';
}
}
// The resulting integer
// cannot have leading zero
if (str[0] == '0')
str[0] = '9';
return str;
}
// Driver code
int main()
{
string str = "42";
cout << maxInt(str);
return 0;
}
// Java implementation of the approach
class GFG
{
// Function to return the maximum possible
// integer that can be obtained from the
// given integer after performing
// the given operations
static String maxInt(char str[])
{
// For every digit
for (int i = 0; i < str.length; i++)
{
// Digits greater than or equal to 5
// need not to be changed as changing
// them will lead to a smaller number
if (str[i] < '5')
{
str[i] = (char)(('9' - str[i]) + '0');
}
}
// The resulting integer
// cannot have leading zero
if (str[0] == '0')
str[0] = '9';
String str2 = new String(str);
return str2;
}
// Driver code
public static void main (String[] args)
{
String str = "42";
System.out.println(maxInt(str.toCharArray()));
}
}
// This code is contributed by AnkitRai01
# Python3 implementation of the approach
# Function to return the maximum possible
# integer that can be obtained from the
# given integer after performing
# the given operations
def maxInt(string):
string2 = ""
# For every digit
for i in range(0, len(string)):
# Digits greater than or equal to 5
# need not to be changed as changing
# them will lead to a smaller number
if (string[i] < '5'):
string2 += str((ord('9') - ord(string[i])))
else:
string2 += str(string[i])
# The resulting integer
# cannot have leading zero
if (string2[0] == '0'):
string2[0] = '9'
return string2
# Driver code
if __name__ == '__main__':
string = "42"
print(maxInt(string))
# This code is contributed by ashutosh450
// C# implementation of the approach
using System;
class GFG
{
// Function to return the maximum possible
// integer that can be obtained from the
// given integer after performing
// the given operations
static String maxInt(char []str)
{
// For every digit
for (int i = 0; i < str.Length; i++)
{
// Digits greater than or equal to 5
// need not to be changed as changing
// them will lead to a smaller number
if (str[i] < '5')
{
str[i] = (char)(('9' - str[i]) + '0');
}
}
// The resulting integer
// cannot have leading zero
if (str[0] == '0')
str[0] = '9';
String str2 = new String(str);
return str2;
}
// Driver code
public static void Main (String []args)
{
String str = "42";
Console.WriteLine(maxInt(str.ToCharArray()));
}
}
// This code is contributed by Arnab Kundu
<script>
// Javascript implementation of the
// above approach
// Function to return the maximum possible
// integer that can be obtained from the
// given integer after performing
// the given operations
function maxInt(str)
{
// For every digit
var str2 = "";
for (var i = 0; i < str.length; i++) {
// Digits greater than or equal to 5
// need not to be changed as changing
// them will lead to a smaller number
if (str[i] < '5') {
var l = ('9'.charCodeAt(0) - str[i].charCodeAt(0)) + '0'.charCodeAt(0);
str2 = str2.concat(String.fromCharCode(l));
}
}
// The resulting integer
// cannot have leading zero
if (str2[0] == '0')
str2[0] = '9';
return str2;
}
// Driver code
var str = "42";
document.write(maxInt(str))
// This code is contributed by ShubhamSingh10
</script>
Output:
57
Time Complexity: O(|str|)
Auxiliary Space: O(1)