#pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include using namespace std; using scalar_t = __int128_t; std::ostream &operator<<(std::ostream &dest, __int128_t value) { std::ostream::sentry s(dest); if (s) { __uint128_t tmp = value < 0 ? -value : value; char buffer[128]; char *d = std::end(buffer); do { --d; *d = "0123456789"[tmp % 10]; tmp /= 10; } while (tmp != 0); if (value < 0) { --d; *d = '-'; } int len = std::end(buffer) - d; if (dest.rdbuf()->sputn(d, len) != len) { dest.setstate(std::ios_base::badbit); } } return dest; } scalar_t calc_val(string &S, scalar_t A, scalar_t B) { vector dp(6); dp[0] = 1; for (int i = 0; i < (int)S.size(); ++i) { if (S[i] == 'y') { dp[5] += dp[4]; dp[1] += dp[0]; } else if (S[i] == 'i') { dp[4] += dp[3]; dp[2] += dp[1]; } else { dp[3] += dp[2]; } } scalar_t val = dp[5] * A; for (int i = 0; i + 4 < (int)S.size(); ++i) { if (S.substr(i, 5) == "iwiwi") { val += B; } } return val; } template inline bool chmax(T &a, const S &b) { return (a < b ? a = b, 1 : 0); } scalar_t calc1(scalar_t I, scalar_t W, scalar_t i_l, scalar_t w_i) { scalar_t ret = -W * i_l * i_l + (I * W - w_i * (w_i + 1)) * i_l + w_i * (w_i + 1) * I / 2 - w_i * (w_i + 1) * (2 * w_i + 1) / 6; return ret; } scalar_t calc2(scalar_t i_l, scalar_t i_r, scalar_t w_c, scalar_t w_il, scalar_t w_ir) { scalar_t ret = i_l * i_r * (w_c + w_il + w_ir) + (i_l - i_r) * w_il * (w_il + 1) / 2 + (i_r - i_l) * w_ir * (w_ir + 1) / 2 - w_il * (w_il + 1) * (2 * w_il + 1) / 6 - w_ir * (w_ir + 1) * (2 * w_ir + 1) / 6; return ret; } void print0(scalar_t Y, scalar_t I, scalar_t W) { for (int i = 0; i < Y / 2; ++i) cout << 'y'; for (int i = 0; i < I / 2; ++i) cout << 'i'; for (int i = 0; i < W; ++i) cout << 'w'; for (int i = 0; i < I - I / 2; ++i) cout << 'i'; for (int i = 0; i < Y - Y / 2; ++i) cout << 'y'; } void print1(scalar_t Y, scalar_t I, scalar_t W, scalar_t iwiwi, scalar_t i_l) { for (int i = 0; i < Y / 2; ++i) cout << 'y'; for (int i = 0; i < i_l; ++i) cout << 'i'; for (int i = 0; i < W - (iwiwi + 1); ++i) cout << 'w'; cout << "iwi"; for (int i = 0; i < iwiwi; ++i) { cout << "wi"; } for (int i = 0; i < I - i_l - (iwiwi + 2); ++i) cout << 'i'; for (int i = 0; i < Y - Y / 2; ++i) cout << 'y'; } void print2(scalar_t Y, scalar_t I, scalar_t W, scalar_t iwiwi) { scalar_t iwiwi_l = iwiwi / 2; scalar_t iwiwi_r = iwiwi - iwiwi / 2; scalar_t w_c = W - iwiwi - 2; scalar_t i_l = I / 2; scalar_t i_r = I - I / 2; for (int i = 0; i < Y / 2; ++i) cout << 'y'; for (int i = 0; i < i_l - (iwiwi_l + 2); ++i) cout << 'i'; cout << "iwi"; for (int i = 0; i < iwiwi_l; ++i) { cout << "wi"; } for (int i = 0; i < w_c; ++i) 'w'; cout << "iwi"; for (int i = 0; i < iwiwi_r; ++i) { cout << "wi"; } for (int i = 0; i < i_r - (iwiwi_r + 2); ++i) cout << 'i'; for (int i = 0; i < Y - Y / 2; ++i) cout << 'y'; } void solve() { scalar_t Y, I, W, A, B; { int y, i, w, a, b; cin >> y >> i >> w >> a >> b; Y = y, I = i, W = w, A = a, B = b; } scalar_t YY = (Y / 2) * (Y - Y / 2); scalar_t max_val = YY * (I / 2) * (I - I / 2) * W * A; int max_type = 0; scalar_t max_iwiwi = 0; scalar_t max_i_l = -1; // iwiwi が1箇所に固まってるケース int type = 1; for (scalar_t iwiwi = 1; iwiwi + 2 <= I && iwiwi + 1 <= W; ++iwiwi) { scalar_t i_i = iwiwi + 2; scalar_t w_i = iwiwi + 1; scalar_t smt = (I * W - w_i * (w_i + 1)) / (2 * W); scalar_t i_l = 0; scalar_t iwi = calc1(I, W, 0, w_i); if (chmax(iwi, calc1(I, W, I - i_i, w_i))) { i_l = I - i_i; } if (0 <= smt && smt <= I - i_i) { if (chmax(iwi, calc1(I, W, smt, w_i))) { i_l = smt; } } if (0 <= smt + 1 && smt + 1 <= I - i_i) { if (chmax(iwi, calc1(I, W, smt + 1, w_i))) { i_l = smt + 1; } } scalar_t val = YY * iwi * A + iwiwi * B; if (chmax(max_val, val)) { max_type = type; max_iwiwi = iwiwi; max_i_l = i_l; } } // iwiwi が2箇所に固まってるケース type = 2; for (scalar_t iwiwi = 2; iwiwi + 4 <= I && iwiwi + 2 <= W; ++iwiwi) { scalar_t iwiwi_l = iwiwi / 2; scalar_t iwiwi_r = iwiwi - iwiwi / 2; scalar_t w_il = iwiwi_l + 1; scalar_t w_ir = iwiwi_r + 1; scalar_t w_c = W - iwiwi - 2; scalar_t i_l = I / 2; scalar_t i_r = I - I / 2; scalar_t iwi = calc2(i_l, i_r, w_c, w_il, w_ir); scalar_t val = YY * iwi * A + iwiwi * B; if (chmax(max_val, val)) { max_type = type; max_iwiwi = iwiwi; } } if (max_type == 0) { print0(Y, I, W); } else if (max_type == 1) { print1(Y, I, W, max_iwiwi, max_i_l); } else { print2(Y, I, W, max_iwiwi); } // cout << max_val << '\n'; // cout << calc_val(ans, A, B) << '\n'; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int T; cin >> T; while (T--) { solve(); } return 0; }