C++ :: How To Make 5x3 2D Vector Of Integers

I am trying to make a 5x3 2D-vector of integers, then set its i-capacity to be 5 and j-capacity to be 3, i.e:

vec2D[i][j] i = 1,2,3,4,5 j = 1,2,3

and then assign integer values to it.

#include <vector>
#include <iostream>
using namespace std;
int main () {
vector<vector<int> > vec2D;

[Code] ....

It compiles, but does not work properly:

Test.exe exited with code -1073741819

i-capacity before reserve: 0
i-capacity after reserve: 5

i = 0
j-capacity before reserve: 336043326
j-capacity after reserve: 336043326
i = 1
j-capacity before reserve: 4282929217
j-capacity after reserve: 4282929217
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I am trying to convert a C code with dynamic 2D arrays, to a C++ code. I prefer to keep the vec2D[i][j] = ... way of assignment instead of using vec2D.push_back(...).