#include <bits/stdc++.h>
using namespace std;

string solution(int A, int B) {
    string result;
    int a = 0, b = 0;
    while (a < A || b < B)
    {
                    // no three letters can repeat
                    // A must be less than or equal to 2B + 2
                    // e.g aabaabaa => A = 6, b = 2 => A <= 2B + 2
        if (A < B)
        {
            if (a++ < A) result.push_back('a');
            if (a++ < A) result.push_back('a');
            if (b++ < B) result.push_back('b');
            if (2 * b > a)
            {
                if (b++ < B) result.push_back('b');
            }
        }
        else // A < B,  B must be less than or equal to 2A + 2
        {
            if (b++ < B) result.push_back('b');
            if (b++ < B) result.push_back('b');
            if (a++ < A) result.push_back('a');
            if (2 * a > b)
            {
                if (a++ < A) result.push_back('a');
            }
        }
    }
    return result;    
}

int main(void)
{
    vector<tuple<int,int,string>> testCases = {
        // A   B
        {  3,  3, "aababb" },
        {  4,  3, "aabaabb" },
        {  5,  3, "aabaabab" },      // A = 2B - 1
        {  6,  3, "aabaabaab"},      // A = 2B
        {  7,  3, "aabaabaaba"},     // A = 2B + 1
        {  8,  3, "aabaabaabaa"},    // A = 2B + 2
        {  1,  4, "bbabb"    },             // B = 2A + 2
        { 14,  6, "aabaabaabaabaabaabaa" }, // A = 2B + 2
        {  6, 14, "bbabbabbabbabbabbabb" }, // B = 2A + 2
    };

    for (auto tc: testCases)
    {
        int A = get<0>(tc);
        int B = get<1>(tc);        
        string expected = get<2>(tc);
        
        string result = solution(A,B);
        
        int width = 10;
        cout << setw(width) << "input: A=" << A << " B=" << B << endl;
        cout << setw(width) << "result: " << result << endl;
        cout << setw(width) << "expected: " << expected << endl;
        cout << (result == expected ? "passed" : "failed") << endl;        
        cout << "-----------------\n";    }
}