function HotChocolatePool() {
    this.scoreboard = [];
    this.loopCount =0;
}

HotChocolatePool.prototype.create = function(score) {
    this.scoreboard.push(score);
    return score;
}

HotChocolatePool.prototype.combine = function(a, b) {
    var result = [],
        resultStr = "" +(a +b);
    for (var i =0, len = resultStr.length; i < len; ++i) {
        var child = this.create(parseInt(resultStr.charAt(i)));
        result.push(child);
    }
    return result;
}

HotChocolatePool.prototype.getAtIndex = function(i) {
    return this.scoreboard[i];
}

function simPool(a, b, stopCondition) {
    var pool = new HotChocolatePool(),
        a = pool.create(a),
        aIndex = 0,
        b = pool.create(b),
        bIndex = 1;
    while (stopCondition(pool)) {
        pool.combine(a, b);
        a = pool.getAtIndex(aIndex = ((aIndex +a +1) % pool.scoreboard.length))
        b = pool.getAtIndex(bIndex = ((bIndex +b +1) % pool.scoreboard.length));
        ++pool.loopCount;
    }
    return pool;
}

function ex1(count) {
    var pool = simPool(3, 7, p => p.scoreboard.length < 10 +count),
        result = pool.scoreboard.slice(count, count +10);
    console.log(result);
}

function ex2(arr) {
    var pool = simPool(3, 7, p => {
        var sb = p.scoreboard;
        if (sb.length < arr.length)
            return true;
        for (var i =Math.max(0, sb.length -arr.length -5), lenI = sb.length -arr.length; i < lenI; ++i) {
            var found = true;
            for (var j =0, lenJ =arr.length; j < lenJ && found; ++j)
                if (arr[j] != sb[i +j])
                    found = false;
            if (found) {
                console.log("Found at index ", i);
                return false;
            }
        }
        return true;
    });
}

ex1(430971);
ex2([4, 3, 0, 9, 7, 1]);