index.js

//= =====================================Problem Statement=============================================
// --->> Print all possible path to reach the end of the GRID/MAZE (N x N) from starting  point to ending point
// --->> One horizontal move will be represented by H and one vertical move will be represented by V
// --->> Complexity =  Complexity will be exponential as there are many overlapping solutions
// --->> cr = current row
// --->> cc = current column
// --->> er = end row
// --->> ec = end column

const getMazePath = (cr, cc, er, ec) => {
  if (cr === er && cc === ec) {
    //= ===========POSITIVE BASE CASE===========
    const br = [];
    br.push('');
    return br;
  }

  if (cr > er || cc > ec) {
    //= ===========NEGATIVE BASE CASE===========
    const br = [];
    return br;
  }

  const myResult = [];

  const recResultH = getMazePath(cr, cc + 1, er, ec);
  recResultH.forEach((rrh) => {
    myResult.push(`H${rrh}`);
  });

  const recResultV = getMazePath(cr + 1, cc, er, ec);
  recResultV.forEach((rrv) => {
    myResult.push(`V${rrv}`);
  });

  return myResult;
};

module.exports = { getMazePath };