Why does my code slow down when i replace arrays with stl vectors, in c++, are arrays more faster than vectors?

Question

Below is the code I used for comparing:

// Example program
#include <iostream>
#include <string>
#include <vector>
#include <chrono>
using namespace std::chrono;
using namespace std;
            
bool existHelperArrayVersion(string &word, int i, int u_i, int u_j, vector<vector<char>>& Board)
{
    if(i>=word.length())
    {
        return true;
    }
    else
    {
        bool answer  = false;      
        if(Board[u_i][u_j] == word[i])
        {
            char temp             = Board[u_i][u_j];
            Board[u_i][u_j]       = '?';
            int row_len           = Board.size();  
            int col_len           = Board[0].size();

            // Uses Array
            int row_offset[4]={0,  0, 1, -1};
            int col_offset[4]={1, -1, 0,  0};
            
            for(int k=0; k<4; k++)
            {
                int v_i = u_i + row_offset[k];
                int v_j = u_j + col_offset[k];
                
                if( !(0 >v_i || v_i >= row_len || 0>v_j || v_j >= col_len)  && (Board[v_i][v_j] != '?'))
                    answer |= existHelperArrayVersion(word, i+1, v_i, v_j, Board);
            }
               
            if(i+1 == word.length())
                answer |= true;
            Board[u_i][u_j] = temp;
        }
        return answer;
    }
}

bool existHelperVectorVersion(string &word, int i, int u_i, int u_j, vector<vector<char>>& Board)
{
    if(i>=word.length())
    {
        return true;
    }
    else
    {
        bool answer  = false;
        if(Board[u_i][u_j] == word[i])
        {
            char temp             = Board[u_i][u_j];
            Board[u_i][u_j]       = '?';
            int row_len           = Board.size();  
            int col_len           = Board[0].size();

            //Uses Vectors
            vector<int> row_offset = {0,  0, 1, -1};
            vector<int> col_offset = {1, -1, 0,  0};
            
            for(int k=0; k<4; k++)
            {
                int v_i = u_i + row_offset[k];
                int v_j = u_j + col_offset[k];
                
                if( !(0 >v_i || v_i >= row_len || 0>v_j || v_j >= col_len)  && (Board[v_i][v_j] != '?'))
                    answer |= existHelperVectorVersion(word, i+1, v_i, v_j, Board);
            }
               
            if(i+1 == word.length())
                answer |= true;
            Board[u_i][u_j] = temp;
        }
        return answer;
    }
}

bool exist(vector<vector<char>>& board, string word, int option) 
{
    if(option == 0)
        cout << "----ARRAY------\n";
    else if(option == 1)
        cout << "---VECTOR-----\n";
        
    bool answer   = false;
    for(int i=0; i<board.size(); i++)
    {
        for(int j=0; j<board[i].size(); j++)
        {
            if(option == 0)
                answer |= existHelperArrayVersion( word, 0, i, j, board);
            else if(option == 1)
                answer |= existHelperVectorVersion( word, 0, i, j, board);
                
            if(answer)
            {
                return true;
            }
        }
    }
    return false;
}

int main()
{
    
    string word                 =   "AAAAAAAAAAAAAAB";
    vector<vector<char>> board  =   {{'A','A','A','A','A','A'},
                                     {'A','A','A','A','A','A'},
                                     {'A','A','A','A','A','A'},
                                     {'A','A','A','A','A','A'},
                                     {'A','A','A','A','A','A'},
                                     {'A','A','A','A','A','A'}};

    auto start    = high_resolution_clock::now();
    bool answer   = exist(board, word, 0);
    auto stop     = high_resolution_clock::now();
    auto duration = duration_cast<microseconds>(stop - start);
    cout << "Time taken when Using C-style Array : " << duration.count() << " microseconds" << endl;
    
    start         = high_resolution_clock::now();
    answer        = exist(board, word, 1);
    stop          = high_resolution_clock::now();
    duration      = duration_cast<microseconds>(stop - start);
    cout << "Time taken when Using STL vector    : " << duration.count() << " microseconds" << endl;
    
}

output

----ARRAY------
Time taken when Using C-style Array : 112931 microseconds
---VECTOR-----
Time taken when Using STL vector    : 330641 microseconds

As you can see the array version of my function performs on average 3 times faster than that of its Vector version. (I ran it multiple times and got similar results)
Question:
Are vectors really that slow compared to arrays?
I thought their performance was supposed to be on par.
This is the URL I run it on an online environment http://cpp.sh/2ubur

Answer 1

        vector<int> row_offset = {0,  0, 1, -1};
        vector<int> col_offset = {1, -1, 0,  0};

this causes 2 heap allocations of data (almost) every time the function is called.

        int row_offset[4]={0,  0, 1, -1};
        int col_offset[4]={1, -1, 0,  0};

this does not cause 2 heap allocations of data (almost) every time the function is called.

std::vector<int> foo = {1,2,3} is similar to int* foo = new int[]{1,2,3}, not int foo[] = {1,2,3} in creation costs.

std::array<int, 3> foo={1,2,3}

is the std library version of "fixed size buffer with data in it". std::vector is a dynamically sized buffer.

Here is a live example where I swapped std::vector for std::array, and changed the C-array version to dynamically create and destroy the arrays. You'll notice the time swaps.