#491295 (Python3) No.55 正方形を描くだけの簡単なお仕事です。

• 問題: No.55 正方形を描くだけの簡単なお仕事です。
• ユーザー: Coki628
• 提出日時: 2020-06-03 18:52:06
• 言語: Python3 (3.13.1 + numpy 2.2.1 + scipy 1.14.1)
• 結果: AC
• 実行時間: 32 ms / 5,000 ms
• コード長: 6,805 bytes
• コンパイル時間: 85 ms
• コンパイル使用メモリ: 13,696 KB
• 実行使用メモリ: 11,648 KB
• 最終ジャッジ日時: 2024-11-25 07:22:21
• 合計ジャッジ時間: 1,933 ms
• ジャッジサーバーID （参考情報）: judge4 / judge5

ファイルパターン	結果
sample	AC * 4
other	AC * 21

ソースコード

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import sys
def input(): return sys.stdin.readline().strip()
def list2d(a, b, c): return [[c] * b for i in range(a)]
def list3d(a, b, c, d): return [[[d] * c for j in range(b)] for i in range(a)]
def list4d(a, b, c, d, e): return [[[[e] * d for j in range(c)] for j in range(b)] for i in range(a)]
def ceil(x, y=1): return int(-(-x // y))
def INT(): return int(input())
def MAP(): return map(int, input().split())
def LIST(N=None): return list(MAP()) if N is None else [INT() for i in range(N)]
def Yes(): print('Yes')
def No(): print('No')
def YES(): print('YES')
def NO(): print('NO')
sys.setrecursionlimit(10 ** 9)
INF = 10 ** 19
MOD = 10 ** 9 + 7
EPS = 10 ** -10
class Geometry:
    """ 幾何学計算用クラス """
    def __init__(self, EPS):
        self.EPS = EPS
    def add(self, a, b):
        x1, y1 = a
        x2, y2 = b
        return (x1+x2, y1+y2)
    def sub(self, a, b):
        x1, y1 = a
        x2, y2 = b
        return (x1-x2, y1-y2)
    def mul(self, a, b):
        x1, y1 = a
        if not isinstance(b, tuple):
            return (x1*b, y1*b)
        x2, y2 = b 
        return (x1*x2, y1*y2)
    def div(self, a, b):
        x1, y1 = a
        if not isinstance(b, tuple):
            return (x1/b, y1/b)
        x2, y2 = b
        return (x1/x2, y1/y2)
    def abs(self, a):
        from math import hypot
        x1, y1 = a
        return hypot(x1, y1)
    def norm(self, a):
        x, y = a
        return x**2 + y**2
    def dot(self, a, b):
        x1, y1 = a
        x2, y2 = b
        return x1*x2 + y1*y2
    def cross(self, a, b):
        x1, y1 = a
        x2, y2 = b
        return x1*y2 - y1*x2
    def project(self, seg, p):
        """ 線分segに対する点pの射影 """
        p1, p2 = seg
        base = self.sub(p2, p1)
        r = self.dot(self.sub(p, p1), base) / self.norm(base)
        return self.add(p1, self.mul(base, r))
    def reflect(self, seg, p):
        """ 線分segを対称軸とした点pの線対称の点 """
        return self.add(p, self.mul(self.sub(self.project(seg, p), p), 2))
    def ccw(self, p0, p1, p2):
        """ 線分p0,p1から線分p0,p2への回転方向 """
        a = self.sub(p1, p0)
        b = self.sub(p2, p0)
        # 反時計回り
        if self.cross(a, b) > self.EPS: return 1
        # 時計回り
        if self.cross(a, b) < -self.EPS: return -1
        # 直線上(p2 => p0 => p1)
        if self.dot(a, b) < -self.EPS: return 2
        # 直線上(p0 => p1 => p2)
        if self.norm(a) < self.norm(b): return -2
        # 直線上(p0 => p2 => p1)
        return 0
    def intersect(self, seg1, seg2):
        """ 線分seg1と線分seg2の交差判定 """
        p1, p2 = seg1
        p3, p4 = seg2
        return (
            self.ccw(p1, p2, p3) * self.ccw(p1, p2, p4) <= 0
            and self.ccw(p3, p4, p1) * self.ccw(p3, p4, p2) <= 0
        )
    def get_distance_PP(self, p1, p2):
        from math import hypot
        x1, y1 = p1
        x2, y2 = p2
        return hypot(x1-x2, y1-y2)
    def get_distance_LP(self, line, p):
        """ 直線lineと点pの距離 """
        p1, p2 = line
        return abs(self.cross(self.sub(p2, p1), self.sub(p, p1)) / self.abs(self.sub(p2, p1)))
    def get_distance_SP(self, seg, p):
        """ 線分segと点pの距離 """
        p1, p2 = seg
        if self.dot(self.sub(p2, p1), self.sub(p, p1)) < 0: return self.abs(self.sub(p, p1))
        if self.dot(self.sub(p1, p2), self.sub(p, p2)) < 0: return self.abs(self.sub(p, p2))
        return self.get_distance_LP(seg, p)
    def get_distance_SS(self, seg1, seg2):
        """ 線分seg1と線分seg2の距離 """
        p1, p2 = seg1
        p3, p4 = seg2
        if self.intersect(seg1, seg2): return 0
        return min(
            self.get_distance_SP(seg1, p3), self.get_distance_SP(seg1, p4),
            self.get_distance_SP(seg2, p1), self.get_distance_SP(seg2, p2),
        )
    def get_cross_pointSS(self, seg1, seg2):
        """ 線分seg1と線分seg2の交点 """
        p1, p2 = seg1
        p3, p4 = seg2
        if not self.intersect(seg1, seg2): return (INF, INF)
        if p1 == p2: return p2
        if p3 == p4: return p3
        base = self.sub(p4, p3)
        dist1 = abs(self.cross(base, self.sub(p1, p3)))
        dist2 = abs(self.cross(base, self.sub(p2, p3)))
        t = dist1 / (dist1+dist2)
        return self.add(p1, self.mul(self.sub(p2, p1), t))
    def intersectCL(self, c, line):
        """ 円cと直線lineの交差判定 """
        x, y, r = c
        return self.get_distance_SP(line, (x, y)) <= r
    def get_cross_pointCL(self, c, line):
        """ 円cと直線lineの交点 """
        from math import sqrt
        if not self.intersectCL(c, line): return -1
        x, y, r = c
        p1, p2 = line
        pr = self.project(line, (x, y))
        e = self.div(self.sub(p2, p1), self.abs(self.sub(p2, p1)))
        base = sqrt(r*r - self.norm(self.sub(pr, (x, y))))
        return [self.add(pr, self.mul(e, base)), self.sub(pr, self.mul(e, base))]
    def arg(self, p):
        from math import atan2
        x, y = p
        return atan2(y, x)
    def polar(self, a, r):
        from math import sin, cos
        return (cos(r)*a, sin(r)*a)
    def intersectCC(self, c1, c2):
        """ 円c1と円c2の交差判定 """
        from math import hypot
        x1, y1, r1 = c1
        x2, y2, r2 = c2
        return hypot(x1-x2, y1-y2) <= r1 + r2
    
    def get_cross_pointCC(self, c1, c2):
        """ 円c1と円c2の交点 """
        from math import acos
        if not self.intersectCC(c1, c2): return -1
        x1, y1, r1 = c1
        x2, y2, r2 = c2
        try:
            d = self.abs(self.sub((x1, y1), (x2, y2)))
            a = acos((r1*r1+d*d-r2*r2) / (2*r1*d))
            t = self.arg(self.sub((x2, y2), (x1, y1)))
            return [self.add((x1, y1), self.polar(r1, t+a)), self.add((x1, y1), self.polar(r1, t-a))]
        except:
            # 一方が他方を内包しちゃってる場合等はここに飛ぶ(はず)
            return -1
x1, y1, x2, y2, x3, y3 = MAP()
gm = Geometry(EPS)
seg = [()] * 3
seg[0] = ((x1, y1), (x2, y2))
seg[1] = ((x2, y2), (x3, y3))
seg[2] = ((x3, y3), (x1, y1))
dist = [0] * 3
for i in range(3):
    dist[i] = gm.get_distance_PP(*seg[i])
for i in range(3):
    j, k = (i+1)%3, (i+2)%3
    if abs(dist[i] - dist[j]) < EPS and abs(dist[i]**2 + dist[j]**2 - dist[k]**2) < EPS:
        done = False
        for l in range(2):
            for m in range(2):
                if seg[i][l] == seg[j][m]:
                    p1 = seg[i][l]
                    done = True
                    break
            if done:
                break
        p2 = gm.reflect(seg[k], p1)
        print(*map(round, p2))
        exit()
print(-1)
 
 
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