#251815 (C++14) No.62 リベリオン(Extra)

• 問題: No.62 リベリオン(Extra)
• ユーザー: Yang33
• 提出日時: 2018-04-15 16:19:42
• 言語: C++14 (gcc 12.3.0 + boost 1.83.0)
• 結果: WA
• 実行時間: -
• コード長: 12,189 bytes
• コンパイル時間: 2,880 ms
• コンパイル使用メモリ: 199,012 KB
• 実行使用メモリ: 6,940 KB
• 最終ジャッジ日時: 2024-06-26 22:53:00
• 合計ジャッジ時間: 8,072 ms
• ジャッジサーバーID （参考情報）: judge1 / judge2

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	2 ms; 6,812 KB
testcase_01	AC	2 ms; 6,940 KB
testcase_02	AC	339 ms; 6,940 KB
testcase_03	AC	336 ms; 6,940 KB
testcase_04	WA	-

ソースコード

#include <bits/stdc++.h>
using namespace std;

using VS = vector<string>;    using LL = long long;
using VI = vector<int>;       using VVI = vector<VI>;
using PII = pair<int, int>;   using PLL = pair<LL, LL>;
using VL = vector<LL>;        using VVL = vector<VL>;

#define ALL(a)  begin((a)),end((a))
#define RALL(a) (a).rbegin(), (a).rend()
#define PB push_back
#define EB emplace_back
#define MP make_pair
#define SZ(a) int((a).size())
#define SORT(c) sort(ALL((c)))
#define RSORT(c) sort(RALL((c)))
#define UNIQ(c) (c).erase(unique(ALL((c))), end((c)))
#define FOR(i, s, e) for (int(i) = (s); (i) < (e); (i)++)
#define FORR(i, s, e) for (int(i) = (s); (i) > (e); (i)--)
#define debug(x) cerr << #x << ": " << x << endl
const int INF = 1e9;                          const LL LINF = 1e16;
const LL MOD = 1000000007;                    const double PI = acos(-1.0);
int DX[8] = { 0, 0, 1, -1, 1, 1, -1, -1 };    int DY[8] = { 1, -1, 0, 0, 1, -1, 1, -1 };

/* -----  2018/04/15  Problem: yukicoder 061  / Link: http://yukicoder.me/problems/no/061  ----- */
/* ------問題------



-----問題ここまで----- */
/* -----解説等-----



----解説ここまで---- */
const int base = 1000000000; //blockの幅
const int base_digits = 9; //

struct BigInt {
	vector<int> a;
	int sign;

	BigInt() :
		sign(1) {
	}

	BigInt(long long v) {
		*this = v;
	}

	BigInt(const string &s) {
		read(s);
	}

	void operator=(const BigInt &v) {
		sign = v.sign;
		a = v.a;
	}

	void operator=(long long v) {
		sign = 1;
		if (v < 0)
			sign = -1, v = -v;
		a.clear();
		for (; v > 0; v = v / base)
			a.push_back(v % base);
	}

	BigInt operator+(const BigInt &v) const {
		if (sign == v.sign) {
			BigInt res = v;

			for (int i = 0, carry = 0; i < (int)max(a.size(), v.a.size()) || carry; ++i) {
				if (i == (int)res.a.size())
					res.a.push_back(0);
				res.a[i] += carry + (i < (int)a.size() ? a[i] : 0);
				carry = res.a[i] >= base;
				if (carry)
					res.a[i] -= base;
			}
			return res;
		}
		return *this - (-v);
	}

	BigInt operator-(const BigInt &v) const {
		if (sign == v.sign) {
			if (abs() >= v.abs()) {
				BigInt res = *this;
				for (int i = 0, carry = 0; i < (int)v.a.size() || carry; ++i) {
					res.a[i] -= carry + (i < (int)v.a.size() ? v.a[i] : 0);
					carry = res.a[i] < 0;
					if (carry)
						res.a[i] += base;
				}
				res.trim();
				return res;
			}
			return -(v - *this);
		}
		return *this + (-v);
	}

	void operator*=(int v) {
		if (v < 0)
			sign = -sign, v = -v;
		for (int i = 0, carry = 0; i < (int)a.size() || carry; ++i) {
			if (i == (int)a.size())
				a.push_back(0);
			long long cur = a[i] * (long long)v + carry;
			carry = (int)(cur / base);
			a[i] = (int)(cur % base);
			//asm("divl %%ecx" : "=a"(carry), "=d"(a[i]) : "A"(cur), "c"(base));
		}
		trim();
	}

	BigInt operator*(int v) const {
		BigInt res = *this;
		res *= v;
		return res;
	}

	friend pair<BigInt, BigInt> divmod(const BigInt &a1, const BigInt &b1) {
		int norm = base / (b1.a.back() + 1);
		BigInt a = a1.abs() * norm;
		BigInt b = b1.abs() * norm;
		BigInt q, r;
		q.a.resize(a.a.size());

		for (int i = a.a.size() - 1; i >= 0; i--) {
			r *= base;
			r += a.a[i];
			int s1 = r.a.size() <= b.a.size() ? 0 : r.a[b.a.size()];
			int s2 = r.a.size() <= b.a.size() - 1 ? 0 : r.a[b.a.size() - 1];
			int d = ((long long)base * s1 + s2) / b.a.back();
			r -= b * d;
			while (r < 0)
				r += b, --d;
			q.a[i] = d;
		}

		q.sign = a1.sign * b1.sign;
		r.sign = a1.sign;
		q.trim();
		r.trim();
		return make_pair(q, r / norm);
	}

	friend BigInt sqrt(const BigInt &a1) {
		BigInt a = a1;
		while (a.a.empty() || a.a.size() % 2 == 1)
			a.a.push_back(0);

		int n = a.a.size();

		int firstDigit = (int)sqrt((double)a.a[n - 1] * base + a.a[n - 2]);
		int norm = base / (firstDigit + 1);
		a *= norm;
		a *= norm;
		while (a.a.empty() || a.a.size() % 2 == 1)
			a.a.push_back(0);

		BigInt r = (long long)a.a[n - 1] * base + a.a[n - 2];
		firstDigit = (int)sqrt((double)a.a[n - 1] * base + a.a[n - 2]);
		int q = firstDigit;
		BigInt res;

		for (int j = n / 2 - 1; j >= 0; j--) {
			for (; ; --q) {
				BigInt r1 = (r - (res * 2 * base + q) * q) * base * base + (j > 0 ? (long long)a.a[2 * j - 1] * base + a.a[2 * j - 2] : 0);
				if (r1 >= 0) {
					r = r1;
					break;
				}
			}
			res *= base;
			res += q;

			if (j > 0) {
				int d1 = res.a.size() + 2 < r.a.size() ? r.a[res.a.size() + 2] : 0;
				int d2 = res.a.size() + 1 < r.a.size() ? r.a[res.a.size() + 1] : 0;
				int d3 = res.a.size() < r.a.size() ? r.a[res.a.size()] : 0;
				q = ((long long)d1 * base * base + (long long)d2 * base + d3) / (firstDigit * 2);
			}
		}

		res.trim();
		return res / norm;
	}

	BigInt operator/(const BigInt &v) const {
		return divmod(*this, v).first;
	}

	BigInt operator%(const BigInt &v) const {
		return divmod(*this, v).second;
	}

	void operator/=(int v) {
		if (v < 0)
			sign = -sign, v = -v;
		for (int i = (int)a.size() - 1, rem = 0; i >= 0; --i) {
			long long cur = a[i] + rem * (long long)base;
			a[i] = (int)(cur / v);
			rem = (int)(cur % v);
		}
		trim();
	}

	BigInt operator/(int v) const {
		BigInt res = *this;
		res /= v;
		return res;
	}

	int operator%(int v) const {
		if (v < 0)
			v = -v;
		int m = 0;
		for (int i = a.size() - 1; i >= 0; --i)
			m = (a[i] + m * (long long)base) % v;
		return m * sign;
	}

	void operator+=(const BigInt &v) {
		*this = *this + v;
	}
	void operator-=(const BigInt &v) {
		*this = *this - v;
	}
	void operator*=(const BigInt &v) {
		*this = *this * v;
	}
	void operator/=(const BigInt &v) {
		*this = *this / v;
	}

	bool operator<(const BigInt &v) const {
		if (sign != v.sign)
			return sign < v.sign;
		if (a.size() != v.a.size())
			return a.size() * sign < v.a.size() * v.sign;
		for (int i = a.size() - 1; i >= 0; i--)
			if (a[i] != v.a[i])
				return a[i] * sign < v.a[i] * sign;
		return false;
	}

	bool operator>(const BigInt &v) const {
		return v < *this;
	}
	bool operator<=(const BigInt &v) const {
		return !(v < *this);
	}
	bool operator>=(const BigInt &v) const {
		return !(*this < v);
	}
	bool operator==(const BigInt &v) const {
		return !(*this < v) && !(v < *this);
	}
	bool operator!=(const BigInt &v) const {
		return *this < v || v < *this;
	}

	void trim() {
		while (!a.empty() && !a.back())
			a.pop_back();
		if (a.empty())
			sign = 1;
	}

	bool isZero() const {
		return a.empty() || (a.size() == 1 && !a[0]);
	}

	BigInt operator-() const {
		BigInt res = *this;
		res.sign = -sign;
		return res;
	}

	BigInt abs() const {
		BigInt res = *this;
		res.sign *= res.sign;
		return res;
	}

	long long longValue() const {
		long long res = 0;
		for (int i = a.size() - 1; i >= 0; i--)
			res = res * base + a[i];
		return res * sign;
	}

	friend BigInt gcd(const BigInt &a, const BigInt &b) {
		return b.isZero() ? a : gcd(b, a % b);
	}
	friend BigInt lcm(const BigInt &a, const BigInt &b) {
		return a / gcd(a, b) * b;
	}

	void read(const string &s) {
		sign = 1;
		a.clear();
		int pos = 0;
		while (pos < (int)s.size() && (s[pos] == '-' || s[pos] == '+')) {
			if (s[pos] == '-')
				sign = -sign;
			++pos;
		}
		for (int i = s.size() - 1; i >= pos; i -= base_digits) {
			int x = 0;
			for (int j = max(pos, i - base_digits + 1); j <= i; j++)
				x = x * 10 + s[j] - '0';
			a.push_back(x);
		}
		trim();
	}

	friend istream& operator>>(istream &stream, BigInt &v) {
		string s;
		stream >> s;
		v.read(s);
		return stream;
	}

	friend ostream& operator<<(ostream &stream, const BigInt &v) {
		if (v.sign == -1 && !v.isZero())
			stream << '-';
		stream << (v.a.empty() ? 0 : v.a.back());
		for (int i = (int)v.a.size() - 2; i >= 0; --i)
			stream << setw(base_digits) << setfill('0') << v.a[i];
		return stream;
	}

	static vector<int> convert_base(const vector<int> &a, int old_digits, int new_digits) {
		vector<long long> p(max(old_digits, new_digits) + 1);
		p[0] = 1;
		for (int i = 1; i < (int)p.size(); i++)
			p[i] = p[i - 1] * 10;
		vector<int> res;
		long long cur = 0;
		int cur_digits = 0;
		for (int i = 0; i < (int)a.size(); i++) {
			cur += a[i] * p[cur_digits];
			cur_digits += old_digits;
			while (cur_digits >= new_digits) {
				res.push_back(int(cur % p[new_digits]));
				cur /= p[new_digits];
				cur_digits -= new_digits;
			}
		}
		res.push_back((int)cur);
		while (!res.empty() && !res.back())
			res.pop_back();
		return res;
	}

	typedef vector<long long> vll;

	static vll karatsubaMultiply(const vll &a, const vll &b) {
		int n = a.size();
		vll res(n + n);
		if (n <= 32) {
			for (int i = 0; i < n; i++)
				for (int j = 0; j < n; j++)
					res[i + j] += a[i] * b[j];
			return res;
		}

		int k = n >> 1;
		vll a1(a.begin(), a.begin() + k);
		vll a2(a.begin() + k, a.end());
		vll b1(b.begin(), b.begin() + k);
		vll b2(b.begin() + k, b.end());

		vll a1b1 = karatsubaMultiply(a1, b1);
		vll a2b2 = karatsubaMultiply(a2, b2);

		for (int i = 0; i < k; i++)
			a2[i] += a1[i];
		for (int i = 0; i < k; i++)
			b2[i] += b1[i];

		vll r = karatsubaMultiply(a2, b2);
		for (int i = 0; i < (int)a1b1.size(); i++)
			r[i] -= a1b1[i];
		for (int i = 0; i < (int)a2b2.size(); i++)
			r[i] -= a2b2[i];

		for (int i = 0; i < (int)r.size(); i++)
			res[i + k] += r[i];
		for (int i = 0; i < (int)a1b1.size(); i++)
			res[i] += a1b1[i];
		for (int i = 0; i < (int)a2b2.size(); i++)
			res[i + n] += a2b2[i];
		return res;
	}

	BigInt operator*(const BigInt &v) const {
		vector<int> a6 = convert_base(this->a, base_digits, 6);
		vector<int> b6 = convert_base(v.a, base_digits, 6);
		vll a(a6.begin(), a6.end());
		vll b(b6.begin(), b6.end());
		while (a.size() < b.size())
			a.push_back(0);
		while (b.size() < a.size())
			b.push_back(0);
		while (a.size() & (a.size() - 1))
			a.push_back(0), b.push_back(0);
		vll c = karatsubaMultiply(a, b);
		BigInt res;
		res.sign = sign * v.sign;
		for (int i = 0, carry = 0; i < (int)c.size(); i++) {
			long long cur = c[i] + carry;
			res.a.push_back((int)(cur % 1000000));
			carry = (int)(cur / 1000000);
		}
		res.a = convert_base(res.a, 6, base_digits);
		res.trim();
		return res;
	}

	friend BigInt pow(const BigInt &x, BigInt a) {
		BigInt res = 1;
		BigInt e = x;
		for (; !a.isZero(); a /= BigInt(2)) {
			if (a % 2 == 1) {
				res *= e;
			}
			e *= e;
		}
		return res;
	}
	friend BigInt powmod(const BigInt &x, BigInt a, const BigInt &mod) {
		BigInt X = x%mod;
		BigInt res = 1;
		BigInt e = X;
		for (; !a.isZero(); a /= BigInt(2)) {
			if (a % 2 == 1) {
				res = (res*e) % mod;
			}
			e = (e*e) % mod;
		}
		return res%mod;
	}


	// 拡張ユークリッド互除法 a*x+b*y=1となる整数解x,yを求める
	// 返却値: gcd(a,b)
	friend BigInt extgcd(BigInt a, BigInt b, BigInt &x, BigInt &y) {
		BigInt gcd_ = a;
		if (b != 0) {
			gcd_ = extgcd(b, a%b, y, x);
			y -= (a / b)*x;
		}
		else {
			x = 1; y = 0;
		}
		return gcd_;
	}

};

BigInt W, H, D, Mx, My, Hx, Hy, Vx, Vy;

int f(BigInt tx, BigInt ty) {
	BigInt A = W * 2 * Vy;
	BigInt B = -H * 2 * Vx;
	BigInt C = ty*Vx - tx*Vy + Hx*Vy - Hy*Vx;
	BigInt g = gcd(A, -B);


	if (C % g != 0) {
		return 0;
	}
	A /= g; B /= g; C /= g;
	BigInt x, y;
	g = extgcd(B, A, y, x);
	BigInt m = C*y%A;
	BigInt tv = (ty + H*m * 2 - Hy) / Vy;
	tv = tv % (H * 2 * A / Vy);
	if (tv < 0)tv += H * 2 * A / Vy;
	return (tv <= D);
}

int main() {
	cin.tie(0);
	ios_base::sync_with_stdio(false);

	int Q; cin >> Q;
	FOR(q, 0, Q) {
		cin >> W >> H >> D >> Mx >> My >> Hx >> Hy >> Vx >> Vy;

		if (Vx < 0) {
			Mx = W - Mx;
			Hx = W - Hx;
			Vx = -Vx;
		}
		if (Vy < 0) {
			My = H - My;
			Hy = H - Hy;
			Vy = -Vy;
		}

		int res = 0;
		if (Vx == 0) {
			if (Mx == Hx && ((My > Hy && My - Hy <= D*Vy) || (My < Hy && H * 2 - My - Hy <= D*Vy))) {
				res = 1;
			}
			else {
				res = -1;
			}
		}
		if (Vy == 0) {
			if (My == Hy && ((Mx > Hx && Mx - Hx <= D*Vx) || (Mx < Hx && W * 2 - Mx - Hx <= D*Vx))) {
				res = 1;
			}
			else {
				res = -1;
			}
		}
		if (res) {
			cout << (res == 1 ? "Hit" : "Miss") << endl;
		}
		else {

			BigInt g = gcd(Vx, Vy);
			D *= g;
			Vx /= g, Vy /= g;
			if (f(Mx, My) || f(W * 2 - Mx, My) || f(Mx, H * 2 - My) || f(W * 2 - Mx, H * 2 - My)) {
				res = 1;
			}

			cout << (res != 0 ? "Hit" : "Miss") << endl;
		}

	}

	return 0;
}