Find Unique Binary String LeetCode solution in C++

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class Solution {
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 public:
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  string findDifferentBinaryString(vector<string> &nums) {
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    unordered_set<int> s;
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    for (auto num : nums) s.insert(stoi(num, 0, 2));
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    int res = 0;
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    while (++res) {
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      if (!s.count(res)) return bitset<16>(res).to_string().substr(16 - nums.size());
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    }
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    return "";
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  }
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};