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// #include <bits/stdc++.h>
#define FAST ios_base::sync_with_stdio(false), cin.tie(0), cout.tie(0);
#include <iostream>
#include <vector>
#include <unordered_map>
#include <map>
#include <deque>

using namespace std;

void solve()
{
}

int main()
{
    FAST int n, k;
    cin >> n >> k;
    vector<int> a(n);
    vector<int> b(n);
    vector<int> out(n);
    map<int, vector<int>> diff;
    for (int i = 0; i < n; i++)
    {
        cin >> a[i];
    }

    unordered_map<int, bool> anns;
    for (int i = 0; i < n; i++)
    {
        cin >> b[i];
        diff[a[i] - b[i]].push_back(i);
        if (a[i] < b[i])
        {
            out[i] = a[i];
            anns[i] = true;
        }
        else
        {
            out[i] = b[i];
        }
    }

    deque<int> toRemove;
    int id;
    int sz = anns.size();

    // more of Bees plz
    for (int i = 0; i < sz - k; i++)
    {
        while (toRemove.size())
        {
            id = toRemove.back();
            toRemove.pop_back();
            diff.erase(id);
        }
        id = -1;
        for (auto it1 = diff.rbegin(); it1 != diff.rend(); it1++)
        {
            auto it = (*it1).second.begin();
            for (; it != (*it1).second.end(); it++)
            {
                if (anns[(*it)])
                {
                    id = (*it);
                    break;
                }
            }
            if (id != -1)
            {
                break;
            }
            else
            {
                toRemove.push_back((*it1).first);
            }
        }
        anns[id] = false;
        out[id] = b[id];
    }

    // gimme more Aaaas
    for (int i = 0; i < k - sz; i++)
    {
        while (toRemove.size())
        {
            id = toRemove.back();
            toRemove.pop_back();
            diff.erase(id);
        }
        id = -1;
        for (auto it1 = diff.begin(); it1 != diff.end(); it1++)
        {
            auto it = (*it1).second.begin();
            for (; it != (*it1).second.end(); it++)
            {
                if (!anns[(*it)])
                {
                    id = (*it);
                    break;
                }
            }
            if (id != -1)
            {
                break;
            }
            else
            {
                toRemove.push_back((*it1).first);
            }
        }
        anns[id] = true;
        out[id] = a[id];
    }

    int64_t maxSum = 0;
    int64_t currSum;
    int i, nn;

    for (i = 0; i < n && out[i] < 0; i++)
    {
    }
    for (nn = n; nn > 0 && out[nn] < 0; nn--)
    {
    }

    for (; i < nn; i++)
    {
        currSum = 0;
        for (int j = i; j < nn; j++)
        {
            currSum += out[j];
            if (currSum > maxSum)
            {
                maxSum = currSum;
            }
        }
    }
    cout << maxSum << endl;
    for (i = 0; i < n; i++)
    {
        if (anns[i])
        {
            cout << "A";
        }
        else
        {
            cout << "B";
        }
    }
    cout << endl;
}