#978364 (PyPy3) No.2602 Real Collider

• 問題: No.2602 Real Collider
• ユーザー: strangerxxx
• 提出日時: 2024-05-01 18:35:29
• 言語: PyPy3 (7.3.15)
• 結果: AC
• 実行時間: 929 ms / 2,000 ms
• コード長: 6,439 bytes
• コンパイル時間: 390 ms
• コンパイル使用メモリ: 82,304 KB
• 実行使用メモリ: 83,624 KB
• 最終ジャッジ日時: 2024-11-22 00:27:02
• 合計ジャッジ時間: 40,915 ms
• ジャッジサーバーID （参考情報）: judge2 / judge3

ファイルパターン	結果
sample	AC * 3
other	AC * 78

ソースコード

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import math
def resolve():
    import sys
    input = sys.stdin.readline
    q = int(input())
    xa, ya, xb, yb, xc, yc = map(int, input().split())
    x = (xa, ya)
    y = (xb, yb)
    z = (xc, yc)
    try:
        c = circumcenter2(x, y, z)
        d = distance(c, (xa, ya))
    except ZeroDivisionError:
        c = (0, 0)
        d = float("inf")
    da = (
        distance(x, y),
        distance(y, z),
        distance(z, x),
    )
    if da[0] >= da[1] + da[2]:
        c = center(x, y)
        d = distance(x, c)
    elif da[1] >= da[2] + da[0]:
        c = center(y, z)
        d = distance(y, c)
    elif da[2] >= da[0] + da[1]:
        c = center(z, x)
        d = distance(z, c)
    for _ in range(q):
        x, y = map(int, input().split())
        print("Yes" if distance(c, (x, y)) <= d else "No")
class Fraction:
    def __init__(self, a: int = 0, b: int = 1) -> None:
        if isinstance(a, Fraction):
            self.a, self.b = a.a, a.b
            return
        a, b = int(a), int(b)
        if b == 0:
            raise ZeroDivisionError(f"{a}/{b}")
        if b < 0:
            a, b = -a, -b
        self.a, self.b = a, b
        self._reducion()
    def _reducion(self):
        g = math.gcd(self.a, self.b)
        self.a //= g
        self.b //= g
    def __add__(self, other):
        if isinstance(other, Fraction):
            g = math.gcd(self.b, other.b)
            x = other.b // g * self.a
            y = self.b // g * other.a
            return Fraction(x + y, self.b // g * other.b)
        return Fraction(self.a + other * self.b, self.b)
    def __iadd__(self, other):
        if isinstance(other, Fraction):
            g = math.gcd(self.b, other.b)
            self.a *= other.b // g
            self.a += self.b // g * other.a
            self.b *= other.b // g
        else:
            self.a += other * self.b
        self._reducion()
        return self
    __radd__ = __add__
    def __sub__(self, other):
        if isinstance(other, Fraction):
            return self.__add__(-other)
        return self.__add__(-other)
    def __isub__(self, other):
        if isinstance(other, Fraction):
            return self.__iadd__(-other.a, other.b)
        return self.__iadd__(-other)
    def __rsub__(self, other):
        return -self + other
    def __mul__(self, other):
        if isinstance(other, Fraction):
            return Fraction(self.a * other.a, self.b * other.b)
        else:
            return Fraction(self.a * other, self.b)
    def __imul__(self, other):
        if isinstance(other, Fraction):
            self.a *= other.a
            self.b *= other.b
        else:
            self.a *= other
        self._reducion()
        return self
    __rmul__ = __mul__
    def __floordiv__(self, other):
        if isinstance(other, Fraction):
            return self.__mul__(other.inverse())
        return Fraction(self.a, self.b * other)
    def __ifloordiv__(self, other):
        if isinstance(other, Fraction):
            return self.__imul__(other.inverse())
        self.b *= other
        self._reducion()
        return self
    def __rfloordiv__(self, other):
        return self.inverse() * other
    __truediv__ = __floordiv__
    __itruediv__ = __ifloordiv__
    __rtruediv__ = __rfloordiv__
    def __pow__(self, other):
        if isinstance(other, Fraction):
            if other.b == 1:
                return self.__pow__(other.a)
            raise NotImplementedError
        return Fraction(self.a**other, self.b**other)
    def __ipow__(self, other):
        if isinstance(other, Fraction):
            if other.b == 1:
                return self.__ipow__(other.a)
            raise NotImplementedError
        self.a **= other
        self.b **= other
        return self
    def __rpow__(self, other):
        if self.b != 1:
            raise NotImplementedError
        return other**self.a
    def __floor__(self) -> int:
        return self.a // self.b
    def __ceil__(self) -> int:
        return (self.a + self.b - 1) // self.b
    __int__ = __floor__
    def __float__(self):
        return self.a / self.b
    def inverse(self):
        if self.a == 0:
            raise ZeroDivisionError(f"tring to calcuate inverse of {self.a}/{self.b}")
        return Fraction(self.b, self.a)
    def __pos__(self):
        return Fraction(self.a, self.b)
    def __neg__(self):
        return Fraction(-self.a, self.b)
    def __abs__(self):
        return Fraction(abs(self.a), self.b)
    def __eq__(self, other) -> bool:
        if isinstance(other, Fraction):
            return self.a == other.a and self.b == other.b
        return self.a == self.b * other
    def __gt__(self, other):
        if isinstance(other, Fraction):
            return self.a * other.b > other.a * self.b
        return self.a > self.b * other
    def __ge__(self, other):
        if isinstance(other, Fraction):
            return self.a * other.b >= other.a * self.b
        return self.a >= self.b * other
    def __lt__(self, other):
        if isinstance(other, Fraction):
            return self.a * other.b < other.a * self.b
        return self.a < self.b * other
    def __le__(self, other):
        if isinstance(other, Fraction):
            return self.a * other.b <= other.a * self.b
        return self.a <= self.b * other
    def __str__(self) -> str:
        return f"{self.a}/{self.b}"
    __repr__ = __str__
    def __hash__(self) -> int:
        return hash(self.__str__())
def distance(pa, pb):
    return sum([(i - j) ** 2 for i, j in zip(pa, pb)])
def islinear(pa, pb, pc):
    return (pa[0] - pb[0]) * (pa[1] - pc[1]) == (pa[0] - pc[0]) * (pa[1] - pb[1])
def center(x, y):
    return Fraction((x[0] + y[0]), 2), Fraction((x[1] + y[1]), 2)
def circumcenter2(pa, pb, pc):
    # 外心
    x0 = (
        (pa[0] ** 2 + pa[1] ** 2) * (pb[1] - pc[1])
        + (pb[0] ** 2 + pb[1] ** 2) * (pc[1] - pa[1])
        + (pc[0] ** 2 + pc[1] ** 2) * (pa[1] - pb[1])
    )
    y0 = 2 * ((pb[1] - pc[1]) * (pa[0] - pb[0]) - (pa[1] - pb[1]) * (pb[0] - pc[0]))
    x1 = (
        (pa[0] ** 2 + pa[1] ** 2) * (pb[0] - pc[0])
        + (pb[0] ** 2 + pb[1] ** 2) * (pc[0] - pa[0])
        + (pc[0] ** 2 + pc[1] ** 2) * (pa[0] - pb[0])
    )
    y1 = 2 * ((pb[0] - pc[0]) * (pa[1] - pb[1]) - (pa[0] - pb[0]) * (pb[1] - pc[1]))
    return Fraction(x0, y0), Fraction(x1, y1)
if __name__ == "__main__":
    resolve()
 
 
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