Problem:
Score : 100 points

Problem Statement

There are two buttons, one of size A and one of size B.

When you press a button of size X, you get X coins and the size of that button decreases by 1.

You will press a button twice. Here, you can press the same button twice, or press both buttons once.

At most how many coins can you get?

Constraints

All values in input are integers.

3 \leq A, B \leq 20

Input

Input is given from Standard Input in the following format:

A B

Output

Print the maximum number of coins you can get.

Sample Input 1

5 3

Sample Output 1

9

You can get 5 + 4 = 9 coins by pressing the button of size 5 twice, and this is the maximum result.

Sample Input 2

3 4

Sample Output 2

7

Sample Input 3

6 6

Sample Output 3

12

Solution in JavaScript (node.js v5.12) (judge verdict: Accepted)

"use strict";
function I(s,f){this._s=s.split("\n");this._c=0;this._l=0;this._f=f||Number}I.prototype.a=function(){var l=this._s[this._l];if(!l)return;var t=l.trim().split(" ");var a=t[this._c];this._c++;if(t.length===this._c){this._c=0;this._l++}return this._f(a)};I.prototype.l=function(){var l=this._s[this._l];if(!l)return;this._c=0;this._l++;return l.split(" ").map(this._f)};

function main(input) {
  const o = new I(input);

  var a = o.a();
  var b = o.a();

  var ans = 0;
  if (a > b) {
    ans += a;
    a-=1;
  } else {
    ans += b;
    b-=1;
  }
  ans += Math.max(a,b);
  console.log(ans);
}


main(require("fs").readFileSync("/dev/stdin", "utf8"));