#ifndef HIDDEN_IN_VS // 折りたたみ用 // 警告の抑制 #define _CRT_SECURE_NO_WARNINGS // ライブラリの読み込み #include using namespace std; // 型名の短縮 using ll = long long; using ull = unsigned long long; // -2^63 ~ 2^63 = 9e18(int は -2^31 ~ 2^31 = 2e9) using pii = pair; using pll = pair; using pil = pair; using pli = pair; using vi = vector; using vvi = vector; using vvvi = vector; using vvvvi = vector; using vl = vector; using vvl = vector; using vvvl = vector; using vvvvl = vector; using vb = vector; using vvb = vector; using vvvb = vector; using vc = vector; using vvc = vector; using vvvc = vector; using vd = vector; using vvd = vector; using vvvd = vector; template using priority_queue_rev = priority_queue, greater>; using Graph = vvi; // 定数の定義 const double PI = acos(-1); int DX[4] = { 1, 0, -1, 0 }; // 4 近傍(下,右,上,左) int DY[4] = { 0, 1, 0, -1 }; int INF = 1001001001; ll INFL = 4004004003094073385LL; // (int)INFL = INF, (int)(-INFL) = -INF; // 入出力高速化 struct fast_io { fast_io() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(18); } } fastIOtmp; // 汎用マクロの定義 #define all(a) (a).begin(), (a).end() #define sz(x) ((int)(x).size()) #define lbpos(a, x) (int)distance((a).begin(), std::lower_bound(all(a), (x))) #define ubpos(a, x) (int)distance((a).begin(), std::upper_bound(all(a), (x))) #define Yes(b) {cout << ((b) ? "Yes\n" : "No\n");} #define rep(i, n) for(int i = 0, i##_len = int(n); i < i##_len; ++i) // 0 から n-1 まで昇順 #define repi(i, s, t) for(int i = int(s), i##_end = int(t); i <= i##_end; ++i) // s から t まで昇順 #define repir(i, s, t) for(int i = int(s), i##_end = int(t); i >= i##_end; --i) // s から t まで降順 #define repe(v, a) for(const auto& v : (a)) // a の全要素(変更不可能) #define repea(v, a) for(auto& v : (a)) // a の全要素(変更可能) #define repb(set, d) for(int set = 0, set##_ub = 1 << int(d); set < set##_ub; ++set) // d ビット全探索(昇順) #define repis(i, set) for(int i = lsb(set), bset##i = set; i < 32; bset##i -= 1 << i, i = lsb(bset##i)) // set の全要素(昇順) #define repp(a) sort(all(a)); for(bool a##_perm = true; a##_perm; a##_perm = next_permutation(all(a))) // a の順列全て(昇順) #define uniq(a) {sort(all(a)); (a).erase(unique(all(a)), (a).end());} // 重複除去 #define EXIT(a) {cout << (a) << endl; exit(0);} // 強制終了 #define inQ(x, y, u, l, d, r) ((u) <= (x) && (l) <= (y) && (x) < (d) && (y) < (r)) // 半開矩形内判定 // 汎用関数の定義 template inline ll powi(T n, int k) { ll v = 1; rep(i, k) v *= n; return v; } template inline bool chmax(T& M, const T& x) { if (M < x) { M = x; return true; } return false; } // 最大値を更新(更新されたら true を返す) template inline bool chmin(T& m, const T& x) { if (m > x) { m = x; return true; } return false; } // 最小値を更新(更新されたら true を返す) template inline T getb(T set, int i) { return (set >> i) & T(1); } template inline T smod(T n, T m) { n %= m; if (n < 0) n += m; return n; } // 非負mod // 演算子オーバーロード template inline istream& operator>>(istream& is, pair& p) { is >> p.first >> p.second; return is; } template inline istream& operator>>(istream& is, vector& v) { repea(x, v) is >> x; return is; } template inline vector& operator--(vector& v) { repea(x, v) --x; return v; } template inline vector& operator++(vector& v) { repea(x, v) ++x; return v; } #endif // 折りたたみ用 #if __has_include() #include using namespace atcoder; #ifdef _MSC_VER #include "localACL.hpp" #endif using mint = modint998244353; //using mint = static_modint<(int)1e9+7>; //using mint = modint; // mint::set_mod(m); using vm = vector; using vvm = vector; using vvvm = vector; using vvvvm = vector; using pim = pair; #endif #ifdef _MSC_VER // 手元環境(Visual Studio) #include "local.hpp" #else // 提出用(gcc) int mute_dump = 0; int frac_print = 0; #if __has_include() namespace atcoder { inline istream& operator>>(istream& is, mint& x) { ll x_; is >> x_; x = x_; return is; } inline ostream& operator<<(ostream& os, const mint& x) { os << x.val(); return os; } } #endif inline int popcount(int n) { return __builtin_popcount(n); } inline int popcount(ll n) { return __builtin_popcountll(n); } inline int lsb(int n) { return n != 0 ? __builtin_ctz(n) : 32; } inline int lsb(ll n) { return n != 0 ? __builtin_ctzll(n) : 64; } inline int msb(int n) { return n != 0 ? (31 - __builtin_clz(n)) : -1; } inline int msb(ll n) { return n != 0 ? (63 - __builtin_clzll(n)) : -1; } #define dump(...) #define dumpel(v) #define dump_math(v) #define input_from_file(f) #define output_to_file(f) #define Assert(b) { if (!(b)) { vc MLE(1<<30); rep(i,9)cout<() : O(1) * 0 で初期化する. * 制約:T は int, ll, __int128, boost::multiprecision::int256_t 等 * * Frac(T num) : O(1) * num で初期化する. * * Frac(T num, T dnm) : O(1) * num / dnm で初期化する(分母は自動的に正にする) * * a == b, a != b, a < b, a > b, a <= b, a >= b : O(1) * 大小比較を行う(分母が共通の場合は積はとらない) * * a + b, a - b, a * b, a / b : O(1) * 加減乗除を行う(和と差については,分母が共通の場合は積はとらない) * 一方が整数でも構わない.複合代入演算子も使用可. * * reduction() : O(log min(num, dnm)) * 自身の約分を行う. * * together(Frac& a, Frac& b) : O(log min(a.dnm, b.dnm)) * a と b を通分する. * * together(vector& as) : O(|as| log dnm) * as を通分する. * * T floor() : O(1) * 自身の floor を返す. * * T ceil() : O(1) * 自身の ceil を返す. * * Frac absolute() : O(1) * 自身の絶対値を返す. * * bool integerQ() : O(1) * 自身が整数かを返す. */ template struct Frac { // 分子,分母 T num, dnm; // コンストラクタ Frac() : num(0), dnm(1) {} Frac(T num) : num(num), dnm(1) {} Frac(T num_, T dnm_) : num(num_), dnm(dnm_) { // verify : https://atcoder.jp/contests/abc244/tasks/abc244_h Assert(dnm != 0); if (dnm < 0) { num *= -1; dnm *= -1; } } // 代入 Frac(const Frac& b) = default; Frac& operator=(const Frac& b) = default; // キャスト operator double() const { return (double)num / (double)dnm; } // 比較 bool operator==(const Frac& b) const { // 分母が等しいときはオーバーフロー防止のために掛け算はせず比較する. if (dnm == b.dnm) return num == b.num; return num * b.dnm == b.num * dnm; } bool operator!=(const Frac& b) const { return !(*this == b); } bool operator<(const Frac& b) const { // verify : https://atcoder.jp/contests/abc308/tasks/abc308_c // 分母が等しいときはオーバーフロー防止のために掛け算はせず比較する. if (dnm == b.dnm) return num < b.num; return (num * b.dnm < b.num * dnm); } bool operator>=(const Frac& b) const { return !(*this < b); } bool operator>(const Frac& b) const { return b < *this; } bool operator<=(const Frac& b) const { return !(*this > b); } // 整数との比較 bool operator==(T b) const { return num == b * dnm; } bool operator!=(T b) const { return num != b * dnm; } bool operator<(T b) const { return num < b * dnm; } bool operator>=(T b) const { return num >= b * dnm; } bool operator>(T b) const { return num > b * dnm; } bool operator<=(T b) const { return num <= b * dnm; } friend bool operator==(T a, const Frac& b) { return a * b.dnm == b.num; } friend bool operator!=(T a, const Frac& b) { return a * b.dnm != b.num; } friend bool operator<(T a, const Frac& b) { return a * b.dnm < b.num; } friend bool operator>=(T a, const Frac& b) { return a * b.dnm >= b.num; } friend bool operator>(T a, const Frac& b) { return a * b.dnm > b.num; } friend bool operator<=(T a, const Frac& b) { return a * b.dnm <= b.num; } // 四則演算 Frac& operator+=(const Frac& b) { // verify : https://www.codechef.com/problems/ARCTR // 分母が等しいときはオーバーフロー防止のために掛け算はせず加算する. if (dnm == b.dnm) num += b.num; else { num = num * b.dnm + b.num * dnm; dnm *= b.dnm; } return *this; } Frac& operator-=(const Frac& b) { // verify : https://www.codechef.com/problems/ARCTR // 分母が等しいときはオーバーフロー防止のために掛け算はせず加算する. if (dnm == b.dnm) num -= b.num; else { num = num * b.dnm - b.num * dnm; dnm *= b.dnm; } return *this; } Frac& operator*=(const Frac& b) { num *= b.num; dnm *= b.dnm; return *this; } Frac& operator/=(const Frac& b) { // verify : https://atcoder.jp/contests/abc301/tasks/abc301_g Assert(b.num != 0); num *= b.dnm; dnm *= b.num; if (dnm < 0) { num *= -1; dnm *= -1; } return *this; } Frac operator+(const Frac& b) const { Frac a = *this; return a += b; } Frac operator-(const Frac& b) const { Frac a = *this; return a -= b; } Frac operator*(const Frac& b) const { Frac a = *this; return a *= b; } Frac operator/(const Frac& b) const { Frac a = *this; return a /= b; } Frac operator+() const { return Frac(*this); } Frac operator-() const { return Frac(*this) *= Frac(-1); } // 整数との四則演算 Frac& operator+=(T c) { num += dnm * c; return *this; } Frac& operator-=(T c) { num -= dnm * c; return *this; } Frac& operator*=(T c) { num *= c; return *this; } Frac& operator/=(T c) { Assert(c != T(0)); dnm *= c; if (dnm < 0) { num *= -1; dnm *= -1; } return *this; } Frac operator+(T c) const { Frac a = *this; return a += c; } Frac operator-(T c) const { Frac a = *this; return a -= c; } Frac operator*(T c) const { Frac a = *this; return a *= c; } Frac operator/(T c) const { Frac a = *this; return a /= c; } friend Frac operator+(T c, const Frac& a) { return a + c; } friend Frac operator-(T c, const Frac& a) { return Frac(c) - a; } friend Frac operator*(T c, const Frac& a) { return a * c; } friend Frac operator/(T c, const Frac& a) { return Frac(c) / a; } // 約分を行う. void reduction() { // verify : https://atcoder.jp/contests/abc229/tasks/abc229_h auto g = gcd(num, dnm); num /= g; dnm /= g; } // a と b を通分する. friend void together(Frac& a, Frac& b) { // verify : https://atcoder.jp/contests/abc229/tasks/abc229_h T dnm = lcm(a.dnm, b.dnm); a.num *= dnm / a.dnm; a.dnm = dnm; b.num *= dnm / b.dnm; b.dnm = dnm; } // as を通分する. friend void together(vector& as) { // verify : https://yukicoder.me/problems/617 T dnm = 1; repe(a, as) dnm = lcm(dnm, a.dnm); repea(a, as) { a.num *= dnm / a.dnm; a.dnm = dnm; } } // 自身の絶対値を返す. Frac absolute() const { // verify : https://atcoder.jp/contests/abc393/tasks/abc393_g return Frac(abs(num), dnm); } // 自身の floor を返す. T floor() const { // verify : https://www.codechef.com/problems/LINEFIT?tab=statement if (num >= 0) return num / dnm; else return -((-num + dnm - 1) / dnm); } // 自身の ceil を返す. T ceil() const { // verify : https://www.codechef.com/problems/LINEFIT?tab=statement if (num >= 0) return (num + dnm - 1) / dnm; else return -((-num) / dnm); } // 自身が整数かを返す. bool integerQ() const { // verify : https://atcoder.jp/contests/ttpc2022/tasks/ttpc2022_g return num % dnm == 0; } #ifdef _MSC_VER friend ostream& operator<<(ostream& os, const Frac& a) { os << a.num << '/' << a.dnm; return os; } #endif }; // https://github.com/SSRS-cp/yuki2595-bigint-lib/blob/main/bigint.hpp #include #include #include const int DIGIT = 6; const int BASE = 1000000; struct positive_bigint { std::vector d; positive_bigint() { } positive_bigint(long long X) { while (X > 0) { d.push_back(X % BASE); X /= BASE; } } positive_bigint(std::string S) { if (S == "0") { S = ""; } int L = S.size(); d.resize((L + DIGIT - 1) / DIGIT, 0); for (int i = L - 1; i >= 0; i -= 6) { for (int j = std::max(i - 5, 0); j <= i; j++) { d[i / DIGIT] *= 10; d[i / DIGIT] += S[j] - '0'; } } std::reverse(d.begin(), d.end()); } bool empty() const { return d.empty(); } int size() const { return d.size(); } int& operator [](int i) { return d[i]; } int operator [](int i) const { return d[i]; } }; std::string to_string(const positive_bigint& A) { int N = A.size(); std::string ans; for (int i = N - 1; i >= 0; i--) { std::string tmp = std::to_string(A[i]); if (i < N - 1) { ans += std::string(DIGIT - tmp.size(), '0'); } ans += tmp; } if (ans.empty()) { ans = "0"; } return ans; } std::istream& operator >>(std::istream& is, positive_bigint& A) { std::string S; is >> S; A = positive_bigint(S); return is; } std::ostream& operator <<(std::ostream& os, positive_bigint& A) { os << to_string(A); return os; } int cmp(const positive_bigint& A, const positive_bigint& B) { int N = A.size(); int M = B.size(); if (N < M) { return -1; } else if (N > M) { return 1; } else { for (int i = N - 1; i >= 0; i--) { if (A[i] < B[i]) { return -1; } if (A[i] > B[i]) { return 1; } } return 0; } } bool operator ==(const positive_bigint& A, const positive_bigint& B) { return cmp(A, B) == 0; } bool operator !=(const positive_bigint& A, const positive_bigint& B) { return cmp(A, B) != 0; } bool operator <(const positive_bigint& A, const positive_bigint& B) { return cmp(A, B) < 0; } bool operator >(const positive_bigint& A, const positive_bigint& B) { return cmp(A, B) > 0; } bool operator <=(const positive_bigint& A, const positive_bigint& B) { return cmp(A, B) <= 0; } bool operator >=(const positive_bigint& A, const positive_bigint& B) { return cmp(A, B) >= 0; } positive_bigint& operator +=(positive_bigint& A, const positive_bigint& B) { int N = A.size(); int M = B.size(); while (N < M) { A.d.push_back(0); N++; } for (int i = 0; i < M; i++) { A[i] += B[i]; } for (int i = 0; i < N - 1; i++) { if (A[i] >= BASE) { A[i] -= BASE; A[i + 1]++; } } if (N > 0) { if (A[N - 1] >= BASE) { A.d.push_back(1); A[N - 1] -= BASE; } } return A; } positive_bigint operator +(const positive_bigint& A, const positive_bigint& B) { positive_bigint A2 = A; A2 += B; return A2; } positive_bigint& operator -=(positive_bigint& A, const positive_bigint& B) { int N = A.size(); int M = B.size(); for (int i = 0; i < M; i++) { A[i] -= B[i]; } for (int i = 0; i < N - 1; i++) { if (A[i] < 0) { A[i] += BASE; A[i + 1]--; } } while (!A.empty()) { if (A.d.back() == 0) { A.d.pop_back(); } else { break; } } return A; } positive_bigint operator -(const positive_bigint& A, const positive_bigint& B) { positive_bigint A2 = A; A2 -= B; return A2; } positive_bigint operator *(const positive_bigint& A, const positive_bigint& B) { if (A.empty() || B.empty()) { return 0; } int N = A.size(); int M = B.size(); std::vector a(N); for (int i = 0; i < N; i++) { a[i] = A[i]; } std::vector b(M); for (int i = 0; i < M; i++) { b[i] = B[i]; } std::vector C = atcoder::convolution_ll(a, b); for (int i = 0; i < N + M - 2; i++) { C[i + 1] += C[i] / BASE; C[i] %= BASE; } if (C[N + M - 2] >= BASE) { C.resize(N + M); C[N + M - 1] += C[N + M - 2] / BASE; C[N + M - 2] %= BASE; } positive_bigint ans; ans.d.resize(C.size()); for (int i = 0; i < C.size(); i++) { ans[i] = C[i]; } return ans; } positive_bigint operator *=(positive_bigint& A, const positive_bigint& B) { A = A * B; return A; } struct bigint { bool neg = false; positive_bigint a; bigint() { } bigint(long long X) : neg(X < 0), a(abs(X)) { } bigint(const positive_bigint& X, bool neg = false) : neg(neg), a(X) { } bigint(const std::string& s) { if (!s.empty()) { if (s[0] == '-') { neg = true; a = positive_bigint(s.substr(1, s.size() - 1)); } else { a = positive_bigint(s); } } } bool empty() const { return a.empty(); } int size() const { return a.size(); } int& operator [](int i) { return a[i]; } }; std::string to_string(const bigint& A) { std::string ans; if (A.neg) { ans += '-'; } ans += to_string(A.a); return ans; } std::istream& operator >>(std::istream& is, bigint& A) { std::string S; is >> S; if (S != "0") { A = bigint(S); } return is; } std::ostream& operator <<(std::ostream& os, bigint A) { os << to_string(A); return os; } positive_bigint abs(const bigint& A) { return A.a; } int cmp(const bigint& A, const bigint& B) { if (!A.neg) { if (!B.neg) { return cmp(A.a, B.a); } else { return 1; } } else { if (!B.neg) { return -1; } else { return cmp(B.a, A.a); } } } bool operator ==(const bigint& A, const bigint& B) { return cmp(A, B) == 0; } bool operator !=(const bigint& A, const bigint& B) { return cmp(A, B) != 0; } bool operator <(const bigint& A, const bigint& B) { return cmp(A, B) < 0; } bool operator >(const bigint& A, const bigint& B) { return cmp(A, B) > 0; } bool operator <=(const bigint& A, const bigint& B) { return cmp(A, B) <= 0; } bool operator >=(const bigint& A, const bigint& B) { return cmp(A, B) >= 0; } bigint operator +(const bigint& A) { return A; } bigint operator -(const bigint& A) { bigint A2 = A; if (!A2.empty()) { A2.neg = !A2.neg; } return A2; } bigint& operator +=(bigint& A, const bigint& B) { if (A.neg == B.neg) { A.a += B.a; } else { int c = cmp(A.a, B.a); if (c > 0) { A.a -= B.a; } else if (c < 0) { A.a = B.a - A.a; A.neg = !A.neg; } else { A = 0; } } return A; } bigint operator +(const bigint& A, const bigint& B) { bigint A2 = A; A2 += B; return A2; } bigint& operator -=(bigint& A, const bigint& B) { if (A.neg != B.neg) { A.a += B.a; } else { int c = cmp(A.a, B.a); if (c > 0) { A.a -= B.a; } else if (c < 0) { A.a = B.a - A.a; A.neg = !A.neg; } else { A = 0; } } return A; } bigint operator -(const bigint& A, const bigint& B) { bigint A2 = A; A2 -= B; return A2; } bigint operator *=(bigint& A, const bigint& B) { if (A.empty() || B.empty()) { A = 0; } else { if (B.neg) { A.neg = !A.neg; } A.a *= B.a; } return A; } bigint operator *(const bigint& A, const bigint& B) { bigint A2 = A; A2 *= B; return A2; } using Bint = bigint; void Main() { vl a(3), b(3), c(3), o(3); cin >> a >> b >> c >> o; vector> A(2), B(2), C(2); rep(i, 2) { A[i] = Frac(o[i]) - Frac(a[i] - o[i]) * Frac(o[2], a[2] - o[2]); B[i] = Frac(o[i]) - Frac(b[i] - o[i]) * Frac(o[2], b[2] - o[2]); C[i] = Frac(o[i]) - Frac(c[i] - o[i]) * Frac(o[2], c[2] - o[2]); } dump(A, B, C); Frac S; S += A[0] * B[1]; S += B[0] * C[1]; S += C[0] * A[1]; S -= B[0] * A[1]; S -= C[0] * B[1]; S -= A[0] * C[1]; dump(S); string s_num = to_string(abs(S.num)); string s_dnm = to_string(2 * S.dnm); mint num = 0, dnm = 0; repe(c, s_num) num = num * 10 + c - '0'; repe(c, s_dnm) dnm = dnm * 10 + c - '0'; cout << num / dnm << "\n"; } int main() { // input_from_file("input.txt"); // output_to_file("output.txt"); int t = 1; cin >> t; // マルチテストケースの場合 while (t--) { dump("------------------------------"); Main(); } }