<p>A <strong>valid IP address</strong> consists of exactly four integers separated by single dots. Each integer is between <code>0</code> and <code>255</code> (<strong>inclusive</strong>) and cannot have leading zeros.</p>

<ul>
	<li>For example, <code>&quot;0.1.2.201&quot;</code> and <code>&quot;192.168.1.1&quot;</code> are <strong>valid</strong> IP addresses, but <code>&quot;0.011.255.245&quot;</code>, <code>&quot;192.168.1.312&quot;</code> and <code>&quot;192.168@1.1&quot;</code> are <strong>invalid</strong> IP addresses.</li>
</ul>

<p>Given a string <code>s</code> containing only digits, return <em>all possible valid IP addresses that can be formed by inserting dots into </em><code>s</code>. You are <strong>not</strong> allowed to reorder or remove any digits in <code>s</code>. You may return the valid IP addresses in <strong>any</strong> order.</p>

<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>

<pre>
<strong>Input:</strong> s = &quot;25525511135&quot;
<strong>Output:</strong> [&quot;255.255.11.135&quot;,&quot;255.255.111.35&quot;]
</pre>

<p><strong class="example">Example 2:</strong></p>

<pre>
<strong>Input:</strong> s = &quot;0000&quot;
<strong>Output:</strong> [&quot;0.0.0.0&quot;]
</pre>

<p><strong class="example">Example 3:</strong></p>

<pre>
<strong>Input:</strong> s = &quot;101023&quot;
<strong>Output:</strong> [&quot;1.0.10.23&quot;,&quot;1.0.102.3&quot;,&quot;10.1.0.23&quot;,&quot;10.10.2.3&quot;,&quot;101.0.2.3&quot;]
</pre>

<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>

<ul>
	<li><code>1 &lt;= s.length &lt;= 20</code></li>
	<li><code>s</code> consists of digits only.</li>
</ul>

class Solution {
private:
    vector<string> result;
    void backtracking(string& s, int startIndex, int pointNum){
        if(pointNum == 3){
            if(isValid(s, startIndex, s.size() - 1)){
                result.push_back(s);
            }
            return;
        }
        for(int i = startIndex; i < s.size(); i++){
            if(isValid(s, startIndex, i)){
                s.insert(s.begin() + i + 1, '.');
                pointNum++;
                backtracking(s, i + 2, pointNum);
                pointNum--;
                s.erase(s.begin() + i + 1);
            } else{
                break;
            }
        }

    }

    bool isValid(const string& s, int start, int end){
        if(start > end){
            return false;
        }
        if(s[start] == '0' && start != end){
            return false;
        }
        int num = 0;
        for(int i = start; i<= end; i++){
            num = num * 10 + (s[i] - '0');
            if(num > 255) return false;
        }
        return true;
    }
public:
    vector<string> restoreIpAddresses(string s) {
        result.clear();
        if(s.size() < 4 || s.size() > 12) return result;
        backtracking(s, 0, 0);
        return result;
    }
};
8104