import math
a, b = map(int, input().split())
ans = 0
while a > 0 and b > 0:
ans += 1
if a >= b:
a -= 2
b += 1
else:
a += 1
b -= 2
if a < 0 or b < 0:
ans -= 1
print(ans)
#include<bits/stdc++.h>
#define ORIGNAL_SENSEI ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
using namespace std;
typedef long long ll;
typedef long double ld;
const ll MOD=1e9+7, OO=0x3f3f3f3f;
const ll LOO=0x3f3f3f3f3f3f3f3f;
#define all(x) (x).begin(),(x).end()
#define mm(f, x) memset(f,x,sizeof(f))
#define f(n) for(int i=0;i<n;++i)
#define fa(i,a,n) for(int i=(a);i<=(n);++i)
#define c(vec) for(auto &x:vec)cin>>x;
#define ff(vec) for(auto &x:vec)cout<<x<<' ';cout<<'\n';
#define debug(x) cout<<#x<<":"<<x<<endl;
#define yes cout<<"YES\n";
#define no cout<<"NO\n";
//#define f(n,m) for(int i=0;i<n;i++)for(int j=0;j<m;j++)
const long double EPS=1e-8;
const ll MOD1=1e18+7;
int dr[]={-1, -1, -1, 0, 1, 1, 1, 0};
int dc[]={-1, 0, 1, 1, 1, 0, -1, -1};
int dx[]={1,0,-1,0};
int dy[]={0,1,0,-1};
int main() {
ORIGNAL_SENSEI
//freopen("input.txt","rt",stdin);
//freopen("output.txt","wt",stdout);
int n,m;
cin>>n>>m;
int mn=min(n,m);
int mx=max(n,m);
ll ans=0;
bool flag=0;
while(mx>1||mn>1){
if(mx-2>=0){
mx-=2;
if(mx==0)flag=1;
mn++;
ans++;
}
else {
swap(mn,mx);
}
}
if(flag)ans--;
cout<<ans<<'\n';
}
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