#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> template void debug(T e) { cerr << e << endl; } template void debug(vector &v) { rep(i, v.size()) { cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v) { rep(i, v.size()) { rep(j, v[i].size()) { cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v) { rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st) { for (auto itr = st.begin(); itr != st.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms) { for (auto itr = ms.begin(); itr != ms.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(map &mp) { for (auto itr = mp.begin(); itr != mp.end(); itr++) { cerr << itr->first << " " << itr->second << endl; } } void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << H << " "; debug_out(T...); } using mint = modint1000000007; void debug_mint1(vector &vec) { for (int i = 0; i < vec.size(); i++) { cerr << vec[i].val() << " "; } cerr << endl; } void debug_mint2(vector> &vec) { for (int i = 0; i < vec.size(); i++) { for (int j = 0; j < vec[i].size(); j++) { cerr << vec[i][j].val() << " "; } cerr << endl; } } vector n_adic(ll i, ll n, ll N) { ll x = 1; rep(j, N) { x *= n; } vector vec(N); rep(j, N) { x /= n; vec[j] = i / x; i -= x * vec[j]; } return vec; } int main() { ll N; cin >> N; vector A(N); for (ll i = 0; i < N; i++) { cin >> A[i]; } ll now = 1; for (ll i = 0; i < 12; i++) { now *= 3; } vector> pows(now, vector(12)); for (ll i = 0; i < now; i++) { vector tri = n_adic(i, 3, 12); for (ll j = 0; j < 12; j++) { pows[i][j] = tri[j]; } } vector pow_3(13); pow_3[0] = 1; for (ll i = 0; i < 12; i++) { pow_3[i + 1] = pow_3[i] * 3; } vector> dp(N + 1, vector(now, false)); dp[0][0] = true; for (ll i = 0; i < N; i++) { for (ll j = 0; j < now; j++) { if (!dp[i][j]) { continue; } bool black = true; bool white = true; for (ll k = 0; k < 12; k++) { if (!((A[i] >> k) & 1)) { continue; } if (pows[j][k] == 2) { black = false; } if (pows[j][k] == 1) { white = false; } } if (black) { ll next = j; for (ll k = 0; k < 12; k++) { if ((A[i] >> k) & 1) { if (pows[j][k] == 0) { next += pow_3[11 - k]; } } } dp[i + 1][next] = true; } if (white) { ll next = j; for (ll k = 0; k < 12; k++) { if ((A[i] >> k) & 1) { if (pows[j][k] == 0) { next += pow_3[11 - k] * 2; } } } dp[i + 1][next] = true; } } } ll ans = 0; ll ans_j = -1; for (ll j = 0; j < now; j++) { ll b = 0; ll w = 0; if (!dp[N][j]) { continue; } // debug(j); for (ll k = 0; k < 12; k++) { if (pows[j][k] == 1) { b += (1 << k); } else if (pows[j][k] == 2) { w += (1 << k); } } if (ans < b * w) { ans = b * w; ans_j = j; } } cout << ans << endl; if (ans == 0) { string ans_s = ""; for (ll i = 0; i < N; i++) { ans_s += 'B'; } cout << ans_s << endl; } ll now_j = ans_j; vector s(N); for (ll i = N - 1; i >= 0; i--) { for (ll j = 0; j < now; j++) { if (!dp[i][j]) { continue; } bool black = true; bool white = true; for (ll k = 0; k < 12; k++) { if (!((A[i] >> k) & 1)) { continue; } if (pows[j][k] == 2) { black = false; } if (pows[j][k] == 1) { white = false; } } if (black) { ll next = j; for (ll k = 0; k < 12; k++) { if ((A[i] >> k) & 1) { if (pows[j][k] == 0) { next += pow_3[11 - k]; } } } if (next == now_j) { now_j = j; s[i] = 'B'; break; } } if (white) { ll next = j; for (ll k = 0; k < 12; k++) { if ((A[i] >> k) & 1) { if (pows[j][k] == 0) { next += pow_3[11 - k] * 2; } } } if (next == now_j) { now_j = j; s[i] = 'W'; break; } } } } for (ll i = 0; i < N; i++) { cout << s[i]; } cout << endl; }