Creating buffer in SYCL for 2D std::vector

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What is the correct way to create a 2D std::vector buffer in SYCL? I have a template function which receives arguments as shown below:

template <typename T>
void MatrixMulParallelNaive(queue& q, 
    std::vector<std::vector<T>>& a,
    std::vector<std::vector<T>>& b,
    std::vector<std::vector<T>>& c){ 
    
    // Is this a correct way?
    buffer<T, 2> a_buf(a.data(), range<2>{a.size(), a[0].size()})
    buffer<T, 2> b_buf(b.data(), range<2>{b.size(), b[0].size()})
    buffer<T, 2> c_buf(c.data(), range<2>{c.size(), c[0].size()})
    
    /* ... */
}

a, b and c are 2D std::vectors

I have been able to implement buffers for 2D C-style arrays, but I've tried multiple docs and answers, but none seem to match this specific usecase.

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ALX23z On BEST ANSWER

No. vector<vector<T>> doesn't create a contiguous block of memory. You need to use vector<T> and interpret it as a two dimensional block of data.