結果
問題 | No.2632 Center of Three Points in Lp Norm |
ユーザー | tassei903 |
提出日時 | 2024-02-13 06:08:25 |
言語 | PyPy3 (7.3.15) |
結果 |
AC
|
実行時間 | 229 ms / 2,000 ms |
コード長 | 2,121 bytes |
コンパイル時間 | 413 ms |
コンパイル使用メモリ | 81,828 KB |
実行使用メモリ | 77,964 KB |
最終ジャッジ日時 | 2024-02-13 06:08:39 |
合計ジャッジ時間 | 11,863 ms |
ジャッジサーバーID (参考情報) |
judge12 / judge15 |
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テストケース
テストケース表示入力 | 結果 | 実行時間 実行使用メモリ |
---|---|---|
testcase_00 | AC | 209 ms
77,484 KB |
testcase_01 | AC | 171 ms
76,696 KB |
testcase_02 | AC | 179 ms
76,572 KB |
testcase_03 | AC | 191 ms
77,484 KB |
testcase_04 | AC | 195 ms
77,020 KB |
testcase_05 | AC | 200 ms
77,040 KB |
testcase_06 | AC | 182 ms
77,260 KB |
testcase_07 | AC | 207 ms
77,632 KB |
testcase_08 | AC | 169 ms
76,700 KB |
testcase_09 | AC | 218 ms
77,316 KB |
testcase_10 | AC | 208 ms
77,612 KB |
testcase_11 | AC | 179 ms
77,452 KB |
testcase_12 | AC | 213 ms
77,616 KB |
testcase_13 | AC | 183 ms
77,452 KB |
testcase_14 | AC | 228 ms
77,628 KB |
testcase_15 | AC | 188 ms
77,508 KB |
testcase_16 | AC | 209 ms
77,612 KB |
testcase_17 | AC | 226 ms
77,616 KB |
testcase_18 | AC | 210 ms
77,632 KB |
testcase_19 | AC | 208 ms
77,480 KB |
testcase_20 | AC | 196 ms
77,432 KB |
testcase_21 | AC | 213 ms
77,804 KB |
testcase_22 | AC | 207 ms
77,456 KB |
testcase_23 | AC | 219 ms
77,604 KB |
testcase_24 | AC | 203 ms
77,316 KB |
testcase_25 | AC | 222 ms
77,628 KB |
testcase_26 | AC | 221 ms
77,552 KB |
testcase_27 | AC | 214 ms
77,780 KB |
testcase_28 | AC | 199 ms
77,024 KB |
testcase_29 | AC | 189 ms
77,476 KB |
testcase_30 | AC | 191 ms
77,380 KB |
testcase_31 | AC | 174 ms
76,876 KB |
testcase_32 | AC | 171 ms
76,964 KB |
testcase_33 | AC | 129 ms
76,060 KB |
testcase_34 | AC | 229 ms
77,964 KB |
testcase_35 | AC | 146 ms
76,560 KB |
testcase_36 | AC | 203 ms
77,592 KB |
testcase_37 | AC | 166 ms
76,812 KB |
ソースコード
import sys input = lambda :sys.stdin.readline()[:-1] ni = lambda :int(input()) na = lambda :list(map(int,input().split())) yes = lambda :print("yes");Yes = lambda :print("Yes") no = lambda :print("no");No = lambda :print("No") ####################################################################### def sub(a, b): return (a[0] - b[0], a[1] - b[1]) def norm(a) -> float: x = abs(a[0]) y = abs(a[1]) if x > y: x, y = y, x if y == 0.0: return 0.0 x /= y if pow(x, p + 2) < 1e-18: return (1.0 + pow(x, p) / p) * y return pow(1.0 + pow(x, p), 1 / p) * y def dist(a, b): return norm(sub(a, b)) p = float(input()) a = na() b = na() c = na() def f(a, b, c): flag = 0 if a[0] == b[0]: a = (a[1], a[0]) b = (b[1], b[0]) c = (c[1], c[0]) flag = 1 uy = 10**6 ly = -10**6 if a[0] > b[0]: right = a left = b else: right = b left = a def f(left, right, my): ux = 10**10 lx = -10**10 for _ in range(200): mx = (ux + lx) / 2 if dist(left, (mx, my)) > dist(right, (mx, my)): ux = mx else: lx = mx return ux x = f(left, right, uy) #print(x, uy) if dist(c, (x, uy)) < dist(left, (x, uy)): up = c down = left else: up = left down = c #print(up, down, left, right) #print(dist(up, (x, uy)), dist(down, (x, uy)), dist(up, (f(left, right, uy), uy)), dist(down, (f(left, right, uy), uy))) for _ in range(200): my = (uy + ly) / 2 x = f(left, right, my) if dist(up, (x, my)) < dist(down, (x, my)): uy = my else: ly = my ox, oy = f(left, right, uy), uy D = max(dist(a, (ox, oy)) , dist(b, (ox, oy)) , dist(c, (ox, oy))) if flag: ox, oy = oy, ox return D, ox, oy ans, OX, OY = 10**18, 0, 0 for _ in range(3): D, ox, oy = f(a, b, c) #print(D, ox, oy) if D < ans: ans = D OX, OY = ox, oy a,b,c = b,c,a print(OX, OY)