Program to generate all possible valid IP addresses from given string
Last Updated :
01 Mar, 2023
Given a string containing only digits, restore it by returning all possible valid IP address combinations.
A valid IP address must be in the form of A.B.C.D, where A, B, C, and D are numbers from 0-255. The numbers cannot be 0 prefixed unless they are 0.
Examples :
Input: 25525511135
Output: [“255.255.11.135”, “255.255.111.35”]
Explanation:
These are the only valid possible
IP addresses.
Input: "25505011535"
Output: []
Explanation:
We cannot generate a valid IP
address with this string.
First, we will place 3 dots in the given string and then try out all the possible combinations for the 3 dots.
Corner case for validity:
For string "25011255255"
25.011.255.255 is not valid as 011 is not valid.
25.11.255.255 is not valid either as you are not
allowed to change the string.
250.11.255.255 is valid.
Approach: Split the string with ‘ . ‘ and then check for all corner cases. Before entering the loop, check the size of the string. Generate all the possible combinations using looping through the string. If IP is found to be valid then return the IP address, else simply return the empty list.
Below is the implementation of the above approach:
Implementation:
C++
#include <bits/stdc++.h>
using namespace std;
int is_valid(string ip)
{
vector<string> ips;
string ex = "" ;
for ( int i = 0; i < ip.size(); i++) {
if (ip[i] == '.' ) {
ips.push_back(ex);
ex = "" ;
}
else {
ex = ex + ip[i];
}
}
ips.push_back(ex);
for ( int i = 0; i < ips.size(); i++) {
if (ips[i].length() > 3
|| stoi(ips[i]) < 0
|| stoi(ips[i]) > 255)
return 0;
if (ips[i].length() > 1
&& stoi(ips[i]) == 0)
return 0;
if (ips[i].length() > 1
&& stoi(ips[i]) != 0
&& ips[i][0] == '0' )
return 0;
}
return 1;
}
void convert(string ip)
{
int l = ip.length();
if (l > 12 || l < 4) {
cout << "Not Valid IP Address" ;
}
string check = ip;
vector<string> ans;
for ( int i = 1; i < l - 2; i++) {
for ( int j = i + 1; j < l - 1; j++) {
for ( int k = j + 1; k < l; k++) {
check = check.substr(0, k) + "."
+ check.substr(k);
check
= check.substr(0, j) + "."
+ check.substr(j);
check
= check.substr(0, i) + "."
+ check.substr(i);
if (is_valid(check)) {
ans.push_back(check);
std::cout << check << '\n' ;
}
check = ip;
}
}
}
}
int main()
{
string A = "25525511135" ;
string B = "25505011535" ;
convert(A);
convert(B);
return 0;
}
|
Java
import java.util.*;
class GFG {
public static ArrayList<String>
restoreIpAddresses(String A)
{
if (A.length() < 3 || A.length() > 12 )
return new ArrayList<>();
return convert(A);
}
private static ArrayList<String>
convert(String s)
{
ArrayList<String> l = new ArrayList<>();
int size = s.length();
String snew = s;
for ( int i = 1 ; i < size - 2 ;
i++) {
for ( int j = i + 1 ;
j < size - 1 ; j++) {
for ( int k = j + 1 ;
k < size; k++) {
snew
= snew.substring( 0 , k) + "."
+ snew.substring(k);
snew
= snew.substring( 0 , j) + "."
+ snew.substring(j);
snew
= snew.substring( 0 , i) + "."
+ snew.substring(i);
if (isValid(snew)) {
l.add(snew);
}
snew = s;
}
}
}
Collections.sort(l, new Comparator<String>() {
public int compare(String o1, String o2)
{
String a1[] = o1.split( "[.]" );
String a2[] = o2.split( "[.]" );
int result = - 1 ;
for ( int i = 0 ; i < 4
&& result != 0 ;
i++) {
result = a1[i].compareTo(a2[i]);
}
return result;
}
});
return l;
}
private static boolean isValid(String ip)
{
String a[] = ip.split( "[.]" );
for (String s : a) {
int i = Integer.parseInt(s);
if (s.length() > 3 || i < 0 || i > 255 ) {
return false ;
}
if (s.length() > 1 && i == 0 )
return false ;
if (s.length() > 1 && i != 0
&& s.charAt( 0 ) == '0' )
return false ;
}
return true ;
}
public static void main(String[] args)
{
System.out.println(
restoreIpAddresses(
"25525511135" )
.toString());
}
}
|
Python3
def is_valid(ip):
ip = ip.split( "." )
for i in ip:
if ( len (i) > 3 or int (i) < 0 or
int (i) > 255 ):
return False
if len (i) > 1 and int (i) = = 0 :
return False
if ( len (i) > 1 and int (i) ! = 0 and
i[ 0 ] = = '0' ):
return False
return True
def convert(s):
sz = len (s)
if sz > 12 :
return []
snew = s
l = []
for i in range ( 1 , sz - 2 ):
for j in range (i + 1 , sz - 1 ):
for k in range (j + 1 , sz):
snew = snew[:k] + "." + snew[k:]
snew = snew[:j] + "." + snew[j:]
snew = snew[:i] + "." + snew[i:]
if is_valid(snew):
l.append(snew)
snew = s
return l
A = "25525511135"
B = "25505011535"
print (convert(A))
print (convert(B))
|
C#
using System;
using System.Collections.Generic;
class HelloWorld {
static int is_valid( string ip){
List< string > ips = new List< string >();
string ex = "" ;
for ( int i = 0; i < ip.Length; i++) {
if (ip[i] == '.' ) {
ips.Add(ex);
ex = "" ;
}
else {
ex = ex + ip[i];
}
}
ips.Add(ex);
for ( int i = 0; i < ips.Count; i++) {
if (ips[i].Length > 3 || Int64.Parse(ips[i]) < 0 || Int64.Parse(ips[i]) > 255)
return 0;
if (ips[i].Length > 1 && Int64.Parse(ips[i]) == 0)
return 0;
if (ips[i].Length > 1
&& Int64.Parse(ips[i]) != 0
&& ips[i][0] == '0' )
return 0;
}
return 1;
}
static void convert( string ip){
int l = ip.Length;
if (l > 12 || l < 4) {
Console.WriteLine( "Not Valid IP Address" );
}
string check = ip;
List< string > ans = new List< string >();
for ( int i = 1; i < l - 2; i++) {
for ( int j = i + 1; j < l - 1; j++) {
for ( int k = j + 1; k < l; k++) {
check = check.Substring(0, k) + "." + check.Substring(k);
check = check.Substring(0, j) + "." + check.Substring(j);
check = check.Substring(0, i) + "." + check.Substring(i);
if (is_valid(check) != 0) {
ans.Add(check);
Console.WriteLine(check);
}
check = ip;
}
}
}
}
static void Main() {
string A = "25525511135" ;
string B = "25505011535" ;
convert(A);
convert(B);
}
}
|
Javascript
<script>
function is_valid(ip)
{
let ips = new Array();
let ex = "" ;
for (let i = 0; i < ip.length; i++) {
if (ip[i] == '.' ) {
ips.push(ex);
ex = "" ;
}
else {
ex = ex + ip[i];
}
}
ips.push(ex);
for (let i = 0; i < ips.length; i++) {
if (ips[i].length > 3
|| parseInt(ips[i]) < 0
|| parseInt(ips[i]) > 255)
return 0;
if (ips[i].length > 1
&& parseInt(ips[i]) == 0)
return 0;
if (ips[i].length > 1
&& parseInt(ips[i]) != 0
&& ips[i][0] == '0' )
return 0;
}
return 1;
}
function convert(ip)
{
let l = ip.length;
if (l > 12 || l < 4) {
document.write( "Not Valid IP Address" );
}
let check = ip;
let ans = new Array();
for (let i = 1; i < l - 2; i++) {
for (let j = i + 1; j < l - 1; j++) {
for (let k = j + 1; k < l; k++) {
check = check.substring(0, k) + "."
+ check.substring(k,check.length);
check
= check.substring(0, j) + "."
+ check.substring(j,check.length);
check
= check.substring(0, i) + "."
+ check.substring(i,check.length);
if (is_valid(check)) {
ans.push(check);
document.write(check, "</br>" );
}
check = ip;
}
}
}
}
let A = "25525511135" ;
let B = "25505011535" ;
convert(A);
convert(B);
</script>
|
Output
255.255.11.135
255.255.111.35
Complexity Analysis:
- Time Complexity: O(n^3), where n is the length of the string
Three nested traversal of the string is needed, where n is always less than 12.
- Auxiliary Space: O(n).
As extra space is needed.
Another Efficient Approach (Dynamic Programming): There is a dp approach exist for this problem and can be solved in time complexity O(n*4*3)=O(12n)=O(n) and space complexity O(4n).
Approach: We know that there are only 4 parts of the IP. We start iterating from the end of string and goes to the start of string. We create a dp 2D-array of size (4 x N). There can be only 2 values in the dp array i.e. 1(true) or 0(false). dp[0][i] tells if we can create 1 part of IP from the substring starting from i to end of string. Similarly, dp[1][i] tells if we can create 2 parts of IP from the substring starting from i to end of string.
After creating the dp array, we start creating the valid IP addresses. We start from the bottom left corner of the 2D dp array. We only iterate 12 times(worst case) but those also will be the valid IP addresses because we only form valid IP addresses.
Implementation:
C++
#include <bits/stdc++.h>
using namespace std;
vector<string> l;
bool isValid(string ip)
{
ip = ip + "." ;
int i = 0;
int j = 0;
while (i < ip.size()){
string s = "" ;
while (ip[j] != '.' ){
s = s + ip[j];
j++;
}
int num = stoi(s);
if (s.size() > 3 || num < 0 || num > 255) return false ;
if (s.size() > 1 && num == 0) return false ;
if (s.size() > 1 && num != 0 && s[0] == '0' ) return 0;
i = j + 1;
j = i;
}
return true ;
}
void createIpFromDp(vector<vector< int >> dp, int r, int c, string s, string ans)
{
if (r == 0)
{
ans += s.substr(c);
l.push_back(ans);
return ;
}
for ( int i = 1; i <= 3 && c + i < s.size(); i++)
{
if (isValid(s.substr(c, i)) && dp[r - 1] == 1)
{
createIpFromDp(dp, r - 1, c + i, s, ans + s.substr(c, i) + "." );
}
}
}
vector<string> restoreIpAddresses(string s)
{
int n = s.size();
if (n < 4 || n > 12)
return l;
vector<vector< int >> dp(4, vector< int > (n, -1));
for ( int i = 0; i < 4; i++)
{
for ( int j = n - 1; j >= 0; j--)
{
if (i == 0)
{
string sub = s.substr(j);
if (isValid(sub))
{
dp[i][j] = 1;
}
else if (j < n - 3)
{
break ;
}
}
else
{
if (j <= n - i)
{
for ( int k = 1; k <= 3 && j + k <= n; k++)
{
string temp = s.substr(j, k);
if (isValid(temp))
{
if (j + k < n && dp[i - 1][j + k] == 1)
{
dp[i][j] = 1;
break ;
}
}
}
}
}
}
}
if (dp[3][0] == 0)
return l;
createIpFromDp(dp, 3, 0, s, "" );
return l;
}
int main()
{
vector<string> ans = restoreIpAddresses( "25525511135" );
cout << "[" ;
for ( int i = 0; i < ans.size(); i++){
if (i == ans.size() - 1) cout << ans[i];
else cout << ans[i] << ", " ;
}
cout << "]" << endl;
}
|
Java
import java.util.*;
class GFG
{
public static ArrayList<String> list;
public static ArrayList<String>
restoreIpAddresses(String s)
{
int n = s.length();
list = new ArrayList<>();
if (n < 4 || n > 12 )
return list;
int dp[][] = new int [ 4 ][n];
for ( int i = 0 ; i < 4 ; i++)
{
for ( int j = n - 1 ; j >= 0 ; j--)
{
if (i == 0 )
{
String sub = s.substring(j);
if (isValid(sub))
{
dp[i][j] = 1 ;
}
else if (j < n - 3 )
{
break ;
}
}
else
{
if (j <= n - i)
{
for ( int k = 1 ;
k <= 3 && j + k <= n;
k++)
{
String temp
= s.substring(j, j + k);
if (isValid(temp))
{
if (j + k < n
&& dp[i - 1 ][j + k]
== 1 )
{
dp[i][j] = 1 ;
break ;
}
}
}
}
}
}
}
if (dp[ 3 ][ 0 ] == 0 )
return list;
createIpFromDp(dp, 3 , 0 , s, "" );
return list;
}
public static void createIpFromDp( int dp[][],
int r,
int c, String s,
String ans)
{
if (r == 0 )
{
ans += s.substring(c);
list.add(ans);
return ;
}
for ( int i = 1 ;
i <= 3 && c + i < s.length();
i++)
{
if (isValid(s.substring(c, c + i))
&& dp[r - 1 ] == 1 )
{
createIpFromDp(dp, r - 1 , c + i, s,
ans +
s.substring(c, c + i)
+ "." );
}
}
}
private static boolean isValid(String ip)
{
String a[] = ip.split( "[.]" );
for (String s : a)
{
int i = Integer.parseInt(s);
if (s.length() > 3 || i < 0 || i > 255 )
{
return false ;
}
if (s.length() > 1 && i == 0 )
return false ;
if (s.length() > 1 && i != 0
&& s.charAt( 0 ) == '0' )
return false ;
}
return true ;
}
public static void main(String[] args)
{
System.out.println(
restoreIpAddresses( "25525511135" ).toString());
}
}
|
C#
using System;
using System.Collections.Generic;
public class GFG {
static List<String> list;
public static List<String> restoreIpAddresses(String s)
{
var n = s.Length;
list = new List<String>();
if (n < 4 || n > 12) {
return list;
}
int [, ] dp = new int [4, n];
for ( int i = 0; i < 4; i++) {
for ( int j = n - 1; j >= 0; j--) {
if (i == 0)
{
var sub = s.Substring(j);
if (GFG.isValid(sub)) {
dp[i, j] = 1;
}
else if (j < n - 3) {
break ;
}
}
else {
if (j <= n - i) {
for ( int k = 1;
k <= 3 && j + k <= n; k++) {
var temp
= s.Substring(j, j + k - j);
if (GFG.isValid(temp)) {
if (j + k < n
&& dp[i - 1, j + k]
== 1) {
dp[i, j] = 1;
break ;
}
}
}
}
}
}
}
if (dp[3, 0] == 0) {
return list;
}
GFG.createIpFromDp(dp, 3, 0, s, "" );
return list;
}
public static void createIpFromDp( int [, ] dp, int r,
int c, String s,
String ans)
{
if (r == 0) {
ans += s.Substring(c);
list.Add(ans);
return ;
}
for ( int i = 1; i <= 3 && c + i < s.Length; i++) {
if (GFG.isValid(s.Substring(c, c + i - c))
&& dp[r - 1, c + i] == 1) {
GFG.createIpFromDp(
dp, r - 1, c + i, s,
ans + s.Substring(c, c + i - c) + "." );
}
}
}
private static bool isValid(String ip)
{
String[] a = ip.Split( "[.]" );
foreach (String s in a)
{
var i = int .Parse(s);
if (s.Length > 3 || i < 0 || i > 255) {
return false ;
}
if (s.Length > 1 && i == 0) {
return false ;
}
if (s.Length > 1 && i != 0 && s[0] == '0' ) {
return false ;
}
}
return true ;
}
public static void Main(String[] args)
{
Console.WriteLine( string .Join(
"," , (GFG.restoreIpAddresses( "25525511135" ))
.ToArray()));
}
}
|
Python3
ans = []
def is_valid(ip):
ip = ip + "."
i, j = 0 , 0
while i < len (ip):
s = ""
while ip[j] ! = "." :
s = s + ip[j]
j + = 1
num = int (s)
if len (s) > 3 or num < 0 or num > 255 :
return False
if len (s) > 1 and num = = 0 :
return False
if len (s) > 1 and num ! = 0 and s[ 0 ] = = '0' :
return False
i = j + 1
j = i
return True
def create_ip_from_dp(dp, r, c, s, res):
if r = = 0 :
res + = s
ans.append(res)
return
for i in range ( 1 , 4 ):
if c + i < len (s) and is_valid(s) and dp[r - 1 ] = = 1 :
create_ip_from_dp(dp, r - 1 , c + i, s, res + s + "." )
def restore_ip_addresses(s):
n = len (s)
if n < 4 or n > 12 :
return ans
dp = [[ - 1 for j in range (n)] for i in range ( 4 )]
for i in range ( 4 ):
for j in range (n - 1 , - 1 , - 1 ):
if i = = 0 :
sub = s[j:]
if is_valid(sub):
dp[i][j] = 1
elif j < n - 3 :
break
else :
if j < = n - i:
for k in range ( 1 , 4 ):
if j + k < = n:
temp = s[j:j + k]
if is_valid(temp):
if j + k < n and dp[i - 1 ][j + k] = = 1 :
dp[i][j] = 1
break
if dp[ 3 ][ 0 ] = = 0 :
return ans
create_ip_from_dp(dp, 3 , 0 , s, "")
return ans
if __name__ = = "__main__" :
ans = restore_ip_addresses( "25525511135" )
print (ans)
|
Javascript
function isValid(ip) {
ip = ip + "." ;
let i = 0;
let j = 0;
while (i < ip.length) {
let s = "" ;
while (ip[j] !== "." ) {
s = s + ip[j];
j++;
}
let num = parseInt(s);
if (s.length > 3 || num < 0 || num > 255) return false ;
if (s.length > 1 && num == 0) return false ;
if (s.length > 1 && num !== 0 && s[0] == "0" ) return false ;
i = j + 1;
j = i;
}
return true ;
}
function createIpFromDp(dp, r, c, s, ans) {
if (r == 0) {
ans += s.substring(c);
l.push(ans);
return ;
}
for (let i = 1; i <= 3 && c + i < s.length; i++) {
if (isValid(s.substring(c, c + i)) && dp[r - 1] == 1) {
createIpFromDp(dp, r - 1, c + i, s, ans + s.substring(c, c + i) + "." );
}
}
}
function restoreIpAddresses(s) {
let n = s.length;
if (n < 4 || n > 12) return l;
let dp = [...Array(4)].map(() => Array(n).fill(-1));
for (let i = 0; i < 4; i++) {
for (let j = n - 1; j >= 0; j--) {
if (i == 0) {
let sub = s.substring(j);
if (isValid(sub)) {
dp[i][j] = 1;
} else if (j < n - 3) {
break ;
}
} else {
if (j <= n - i) {
for (let k = 1; k <= 3 && j + k <= n; k++) {
let temp = s.substring(j, j + k);
if (isValid(temp)) {
if (j + k < n && dp[i - 1][j + k] == 1) {
dp[i][j] = 1;
break ;
}
}
}
}
}
}
}
if (dp[3][0] == 0) return l;
createIpFromDp(dp, 3, 0, s, "" );
return l;
}
let l = [];
let ans = restoreIpAddresses( "25525511135" );
console.log(ans);
|
Output
[255.255.11.135, 255.255.111.35]
Complexity Analysis:
- Time Complexity: O(n), where n is the length of the string. The dp array creation would take O(4*n*3) = O(12n) = O(n). Valid IP creation from dp array would take O(n).
- Auxiliary Space: O(n). As dp array has extra space of size (4 x n). It means O(4n).
Another Approach: (Using Recursion)
Implementation:
C++
#include <iostream>
#include <vector>
using namespace std;
void solve(string s, int i, int j, int level, string temp,
vector<string>& res)
{
if (i == (j + 1) && level == 5) {
res.push_back(temp.substr(1));
}
for ( int k = i; k < i + 3 && k <= j; k++) {
string ad = s.substr(i, k - i + 1);
if ((s[i] == '0' &&ad.size()>1) || stol(ad) > 255)
return ;
solve(s, k + 1, j, level + 1, temp + '.' + ad, res);
}
}
int main()
{
string s = "25525511135" ;
int n = s.length();
vector<string> ans;
solve(s, 0, n - 1, 1, "" , ans);
for (string s : ans)
cout << s << endl;
return 0;
}
|
Java
import java.io.*;
import java.util.*;
class GFG {
static void solve(String s, int i, int j, int level, String temp,
ArrayList<String>res)
{
if (i == (j + 1 ) && level == 5 ) {
res.add(temp.substring( 1 ));
}
for ( int k = i; k < i + 3 && k <= j; k++) {
String ad = s.substring(i, k + 1 );
if ((s.charAt(i) == '0' && ad.length()> 1 ) || Integer.valueOf(ad) > 255 )
return ;
solve(s, k + 1 , j, level + 1 , temp + '.' + ad, res);
}
}
public static void main(String args[])
{
String s = "25525511135" ;
int n = s.length();
ArrayList<String> ans = new ArrayList<>();
solve(s, 0 , n - 1 , 1 , "" , ans);
for (String s1 : ans)
System.out.println(s1);
}
}
|
Python3
def solve(s, i, j, level, temp, res):
if (i = = (j + 1 ) and level = = 5 ):
res.append(temp[ 1 :])
k = i
while (k < i + 3 and k < = j):
ad = s[i: k + 1 ]
if ((s[i] = = '0' and len (ad) > 1 ) or int (ad) > 255 ):
return
solve(s, k + 1 , j, level + 1 , temp + '.' + ad, res)
k + = 1
s = "25525511135"
n = len (s)
ans = []
solve(s, 0 , n - 1 , 1 , "", ans)
for s in ans:
print (s)
|
C#
using System;
using System.Collections.Generic;
class GFG {
public static void solve( string s, int i, int j, int level, string temp, List< string > res)
{
if (i == (j + 1) && level == 5) {
res.Add(temp.Substring(1));
}
for ( int k = i; k < i + 3 && k <= j; k++) {
string ad = s.Substring(i, k - i + 1);
if ((s[i] == '0' && ad.Length > 1) || Int64.Parse(ad) > 255)
return ;
solve(s, k + 1, j, level + 1, temp + '.' + ad, res);
}
}
static void Main() {
string s = "25525511135" ;
int n = s.Length;
List< string > ans = new List< string >();
solve(s, 0, n - 1, 1, "" , ans);
foreach ( string x in ans)
{
Console.WriteLine(x);
}
}
}
|
Javascript
<script>
function solve(s,i,j,level, temp,res)
{
if (i == (j + 1) && level == 5) {
res.push(temp.substring(1,));
}
for (let k = i; k < i + 3 && k <= j; k++) {
let ad = s.substring(i, k + 1);
if ((s[i] == '0' && ad.length > 1) || parseInt(ad) > 255)
return ;
solve(s, k + 1, j, level + 1, temp + '.' + ad, res);
}
}
let s = "25525511135" ;
let n = s.length;
let ans = [];
solve(s, 0, n - 1, 1, "" , ans);
for (let s of ans)
document.write(s, "</br>" );
</script>
|
Output
255.255.11.135
255.255.111.35
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