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Difference between vector <int> V[] and vector< vector<int> > V

vector <int> V[] and vector< vector<int> > V both are 2D arrays .

But what is the difference between them and where do we use each one? Please give a brief explanation.

vector<int> V[] is an array of vectors .

vector< vector<int> > V is a vector of vectors .

Using arrays are C-style coding , using vectors are C++-style coding .

Quoting cplusplus.com ,

Vectors are sequence containers representing arrays that can change in size.

Just like arrays, vectors use contiguous storage locations for their elements, which means that their elements can also be accessed using offsets on regular pointers to its elements, and just as efficiently as in arrays . But unlike arrays, their size can change dynamically, with their storage being handled automatically by the container.

TL;DR :

When you want to work with a fixed number of std::vector elements, you can use vector <int> V[] .

When you want to work with a dynamic array of std::vector , you can use vector< vector<int> > V .

One difference would be that although both can be initialized in the same way, eg

vector<int> V1[]        {{1,2,3}, {4,5,6}};
vector<vector<int>> V2  {{1,2,3}, {4,5,6}};

and accessed

cout << V1[0].back() << endl;
cout << V2[0].back() << endl;

the V1 can't grow. You cannot make V1.push_back(...) as its not a vector object. Its just an array. Second one is dynamic. You can grow it as you please.

vector<vector<int>> v(26); is a vector containing vectors. In this example, you have a vector with 26 vectors contained in it. The code v[1].push_back(x) means that x is pushed back to the first vector within the vectors.

vector<int> a[26]; is an array of vectors. In other words, a one-dimensional array containing 26 vectors of integers. The code a[1].push_back(x); has x being pushed back to the first index of the array.

vector V[] is just a fixed array; and so you can add/modify only till the upper limit. It is not a vector per se, and so has a fixed size limit. However vector< vector > V is a dynamic vector and its size can be increased dynamically.

vector<int> v[] is an array of vectors. That is, it is an array which contains vectors as its elements. So, you cannot change the size of the array part, but we can add to its elements which is vector.

For example,

1.vector<int> v1[] = {{1},{2},{3}};   // array that contains 3 vector elements.
2.vector<vector<int>> v2 = {{1},{2},{3}};  // vector that contains 3 vector elements.

So for the first we cannot change the size of v but we can add or delete elements to its elements since it is a vector.

v1.push_back(4);   // this will give an error since we cannot the predefined size of array.
v1[1].push_back(4); // this is acceptable since we are changing the vector part.

This makes the v1 {{1},{2,4},{3}}

For the second one, we can change both the overall size and its elements.

 v2.push_back(4);  // this is acceptable since it is vector.
  vector<int>v;=>here we have created only one vector. v.push_back(10).  
vector<int>v[10];=>here we have created 10 vector,v[0],v[1],.....
               we push element like.
                v[0].push_back(10); v[0].push_back(40),v[1].push_back(23)

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