var GET=(function(){function f(s){return new g(s);}function g(s){this._s=s.trim().split("\n");this._y=0;}g.prototype.a=function(f){var s=this._s, y=this._y, r;if(typeof s[y]==="string")s[y]=s[y].split(" ").reverse();r=s[y].pop();if(!s[y].length)this._y++;return f?r:+r;};g.prototype.l=function(f){var s=this._s[this._y++].split(" ");return f?s:s.map(a=>+a);};g.prototype.m=function(n,f){var r=this._s.slice(this._y,this._y+=n).map(a=>a.split(" "));return f?r:r.map(a=>a.map(a=>+a));};g.prototype.r=function(n,f){var r=this._s.slice(this._y,this._y+=n);return f?r:r.map(a=>+a);};return f;})();
var o=GET(require("fs").readFileSync("/dev/stdin","utf8"));
function xArray(v){var a=arguments,l=a.length,r="Array(a["+--l+"]).fill(0).map(x=>{return "+v+";})";while(--l)r="Array(a["+l+"]).fill(0).map(x=>"+r+")";return eval(r);}

console.log(main());
function main(){
  var n = o.a();
  var k = o.a();
  var v = o.l();
  var ans = 0;
  for(var i = 0; i <= k && i < n; i++){
      for(var l = 0; l <= i; l++){
        var m = [];
        var s = 0;
        for(var l2 = 0; l2 < l; l2++){
          if(v[l2] < 0)m.push(v[l2]);
          s += v[l2];
        }
        for(var r = 0; r < i-l2; r++){
          if(v[n-1-r] < 0)m.push(v[n-1-r]);
          s += v[n-1-r];
        }
        m.sort((a,b)=>a-b);
        for(var x = 0; x < k-i && x < m.length; x++){
          s -= m[x];
        }
        if(s > ans)ans = s;
      }
  }
  return ans;
}