Write the code that represents the following array using a vector:
```
int matrix[4][4] =
{{1, 2, 3, 4},
{5, 6, 7, 8},
{9, 10, 11, 12},
{13, 14, 15, 16}};
```
```
vector< vector
for (int i = 0; i < 4; i++)
matrix[i] = vector
matrix[0][0] = 1; matrix[0][1] = 2; matrix[0][2] = 3; matrix[0][3] = 4;
matrix[1][0] = 5; matrix[1][1] = 6; matrix[1][2] = 7; matrix[1][3] = 8;
matrix[2][0] = 9; matrix[2][1] = 10; matrix[2][2] = 11; matrix[2][3] = 12;
matrix[3][0] = 13; matrix[3][1] = 14; matrix[3][2] = 15; matrix[3][3] = 16;
```
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