#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define rep(i, n) for(ll i = 0, i##_len = (n); i < i##_len; i++)
#define reps(i, s, n) for(ll i = (s), i##_len = (n); i < i##_len; i++)
#define rrep(i, n) for(ll i = (n) - 1; i >= 0; i--)
#define rreps(i, e, n) for(ll i = (n) - 1; i >= (e); i--)
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define sz(x) ((ll)(x).size())
#define len(x) ((ll)(x).length())
#define endl "\n"

int main() {
    cin.tie(0);
    ios::sync_with_stdio(false);
    // ifstream in("input.txt");
    // cin.rdbuf(in.rdbuf());
    ll a, b;
    cin >> a >> b;
    ll ans = 0;
    {
        ll be = 0, tmp = 1;
        ll ca = a - 1, cb = b;
        while((ca > 0) && (cb > 0)) {
            if (be == 0) {
                cb--;
                be = 1;
            }
            else {
                ca--;
                be = 0;
            }
            tmp++;
        }
        ans = max(ans, tmp);
    }
    {
        ll be = 1, tmp = 1;
        ll ca = a, cb = b - 1;
        while((ca > 0) && (cb > 0)) {
            if (be == 0) {
                cb--;
                be = 1;
            }
            else {
                ca--;
                be = 0;
            }
            tmp++;
        }
        ans = max(ans, tmp);
    }
    cout << ans << endl;
    return 0;
}