QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#543296 | #8677. Carl’s Vacation | qwerasdf | WA | 17ms | 11136kb | Python3 | 2.5kb | 2024-09-01 15:43:30 | 2024-09-01 15:43:32 |
Judging History
answer
import math
from decimal import *
getcontext().prec = 30
def rot90(a): # 반시계
return (-a[1], a[0])
def dot(a, b):
return a[0] * b[0] + a[1] * b[1]
def cross(a, b):
return a[0] * b[1] - a[1] * b[0]
def add(a, b):
return (a[0] + b[0], a[1] + b[1])
def sub(a, b):
return (a[0] - b[0], a[1] - b[1])
def mul(a, b): # a: 스칼라
return (a * b[0], a * b[1])
def dist(a, b):
t = sub(b, a)
return dot(t, t).sqrt()
def is_facing(a, b, c, d):
n0 = rot90(sub(a, b))
n1 = rot90(sub(c, d))
return (dot(n0, sub(c, a)) >= 0 or dot(n0, sub(d, a)) >= 0) and (dot(n1, sub(a, c)) >= 0 or dot(n1, sub(b, c)) >= 0)
def make_tri(a, b, h):
norm = rot90(sub(b, a))
sq = dot(norm, norm)
k = (sq / 4 + h ** 2).sqrt()
c = add(mul(k / sq.sqrt(), norm), mul(Decimal(0.5), add(a, b)))
return (a, b, c)
def is_in(p, a, b, x):
v0 = sub(a, p)
v1 = sub(x, p)
v2 = sub(b, p)
return cross(v0, v1) >= 0 and cross(v1, v2) >= 0
ls = []
for i in range(2):
ls.append([*map(Decimal, input().split())])
pyra = []
tmp = []
for l in ls:
x = l[0]
y = l[1]
dx = l[2] - x
dy = l[3] - y
tmp = [(x, y), (x + dx, y + dy), (x + dx - dy, y + dy + dx), (x - dy, y + dx), l[4]]
pyra.append(tmp)
mn = Decimal(1e9)
for i in range(4):
for j in range(4):
a = pyra[0][i % 4]
b = pyra[0][(i + 1) % 4]
c = pyra[1][j % 4]
d = pyra[1][(j + 1) % 4]
if is_facing(a, b, c, d):
t0 = make_tri(a, b, pyra[0][4])
t1 = make_tri(c, d, pyra[1][4])
#print(t0, t1)
a, b, c = t0
d, e, f = t1
# case work
if is_in(c, a, b, f) and is_in(f, d, e, c):
mn = min(mn, dist(c, f))
#print('cf')
if is_in(c, a, b, d):
mn = min(mn, dist(c, d) + dist(d, f))
#print('cdf')
if is_in(c, a, b, e):
mn = min(mn, dist(c, e) + dist(e, f))
#print('cef')
if is_in(f, d, e, a):
mn = min(mn, dist(c, a) + dist(a, f))
#print('caf')
if is_in(f, d, e, b):
mn = min(mn, dist(c, b) + dist(b, f))
#print('cbf')
mn = min(mn, dist(c, a) + dist(f, d) + min([dist(a, d), dist(a, e), dist(b, d), dist(b, e)]))
print(mn)
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 8ms
memory: 11024kb
input:
1 0 0 0 10000 99999 10000 10000 10000 10000
output:
76118.7000492204770579670105516
result:
ok found '76118.7000492', expected '76118.7000492', error '0.0000000'
Test #2:
score: 0
Accepted
time: 16ms
memory: 10920kb
input:
10000 10000 10000 0 10000 0 0 0 10000 10000
output:
32360.6797749978969640917366874
result:
ok found '32360.6797750', expected '32360.6797750', error '0.0000000'
Test #3:
score: 0
Accepted
time: 13ms
memory: 11108kb
input:
0 0 100 100 20 0 0 -5 -5 2
output:
107.365555078990200631815192672
result:
ok found '107.3655551', expected '107.3655551', error '0.0000000'
Test #4:
score: 0
Accepted
time: 17ms
memory: 10920kb
input:
0 0 100 100 20 23 23 18 18 2
output:
88.0567570505748977916758143042
result:
ok found '88.0567571', expected '88.0567571', error '0.0000000'
Test #5:
score: 0
Accepted
time: 11ms
memory: 11024kb
input:
0 0 100 100 20 100 100 105 95 2
output:
107.365555078990200631815192671
result:
ok found '107.3655551', expected '107.3655551', error '0.0000000'
Test #6:
score: 0
Accepted
time: 5ms
memory: 11020kb
input:
0 0 100 100 20 44 156 49 151 2
output:
77.7045202177065885320733543063
result:
ok found '77.7045202', expected '77.7045202', error '0.0000000'
Test #7:
score: 0
Accepted
time: 13ms
memory: 11020kb
input:
0 0 100 100 20 200 0 205 5 2
output:
224.528035156840488849925251922
result:
ok found '224.5280352', expected '224.5280352', error '0.0000000'
Test #8:
score: 0
Accepted
time: 16ms
memory: 11008kb
input:
0 0 100 100 20 -29 171 -24 176 2
output:
84.3681957983218459013074669270
result:
ok found '84.3681958', expected '84.3681958', error '0.0000000'
Test #9:
score: 0
Accepted
time: 12ms
memory: 11028kb
input:
0 0 100 100 20 -100 100 -105 105 2
output:
107.365555078990200631815192671
result:
ok found '107.3655551', expected '107.3655551', error '0.0000000'
Test #10:
score: 0
Accepted
time: 10ms
memory: 11076kb
input:
0 0 100 100 20 -69 69 -74 74 2
output:
83.2946124444070630603516719345
result:
ok found '83.2946124', expected '83.2946124', error '0.0000000'
Test #11:
score: 0
Accepted
time: 17ms
memory: 11076kb
input:
0 0 30 0 20 50 20 80 20 20
output:
72.8010988928051827109730249153
result:
ok found '72.8010989', expected '72.8010989', error '0.0000000'
Test #12:
score: 0
Accepted
time: 8ms
memory: 10920kb
input:
0 0 30 0 20 50 20 80 20 140
output:
186.874948275750042761292851977
result:
ok found '186.8749483', expected '186.8749483', error '0.0000000'
Test #13:
score: 0
Accepted
time: 17ms
memory: 10968kb
input:
0 0 30 0 140 50 20 80 20 140
output:
302.264953761204308598335799337
result:
ok found '302.2649538', expected '302.2649538', error '0.0000000'
Test #14:
score: 0
Accepted
time: 11ms
memory: 11016kb
input:
0 0 30 0 500 50 20 80 20 140
output:
661.328793005025440060049008028
result:
ok found '661.3287930', expected '661.3287930', error '0.0000000'
Test #15:
score: 0
Accepted
time: 9ms
memory: 11032kb
input:
0 0 30 0 500 50 20 80 20 500
output:
1020.64587196138772973338978558
result:
ok found '1020.6458720', expected '1020.6458720', error '0.0000000'
Test #16:
score: 0
Accepted
time: 11ms
memory: 11024kb
input:
0 0 30 0 500 50 20 80 20 2000
output:
2520.36147374612413934630056118
result:
ok found '2520.3614737', expected '2520.3614737', error '0.0000000'
Test #17:
score: 0
Accepted
time: 10ms
memory: 11012kb
input:
1137 -1096 229 -599 6253 5792 -405 3433 -9660 2912
output:
16631.2672046379199382784168802
result:
ok found '16631.2672046', expected '16631.2672046', error '0.0000000'
Test #18:
score: 0
Accepted
time: 17ms
memory: 11076kb
input:
-1458 4365 -759 -5184 408 8891 -5111 2941 -8564 6966
output:
14848.0979672057408008996432892
result:
ok found '14848.0979672', expected '14848.0979672', error '0.0000000'
Test #19:
score: 0
Accepted
time: 8ms
memory: 10920kb
input:
2289 1693 -2539 850 7414 -4989 3660 8091 2109 6915
output:
18844.4706205017155162303776915
result:
ok found '18844.4706205', expected '18844.4706205', error '0.0000000'
Test #20:
score: 0
Accepted
time: 13ms
memory: 11032kb
input:
5431 8457 6717 -6624 2204 -5504 -5607 4032 -674 7792
output:
20847.8621668110330627289355954
result:
ok found '20847.8621668', expected '20847.8621668', error '0.0000000'
Test #21:
score: 0
Accepted
time: 16ms
memory: 11076kb
input:
4274 -9998 -3313 -2647 4590 -792 1334 5701 -8048 3257
output:
16956.4834717883378781648076546
result:
ok found '16956.4834718', expected '16956.4834718', error '0.0000000'
Test #22:
score: 0
Accepted
time: 3ms
memory: 11072kb
input:
-1563 -4648 1926 -2970 5843 -1600 9113 -1007 5823 7516
output:
19666.6200192503750008105723938
result:
ok found '19666.6200193', expected '19666.6200193', error '0.0000000'
Test #23:
score: 0
Accepted
time: 10ms
memory: 10920kb
input:
-6957 -1204 -2026 2849 1571 9178 1160 -3263 -6525 9297
output:
22798.2691656399858391318615991
result:
ok found '22798.2691656', expected '22798.2691656', error '0.0000000'
Test #24:
score: 0
Accepted
time: 17ms
memory: 11096kb
input:
-5254 4877 5836 -1945 4282 8106 -8783 7076 -2291 6168
output:
17820.1271048618932973341083871
result:
ok found '17820.1271049', expected '17820.1271049', error '0.0000000'
Test #25:
score: 0
Accepted
time: 12ms
memory: 11004kb
input:
2278 -7979 -200 -9432 528 -8604 1343 -5214 2428 8005
output:
22690.4150723922763021818689252
result:
ok found '22690.4150724', expected '22690.4150724', error '0.0000000'
Test #26:
score: 0
Accepted
time: 16ms
memory: 11012kb
input:
5003 277 737 -3626 2886 3492 4353 -446 5788 2426
output:
10058.3916191793300385234148946
result:
ok found '10058.3916192', expected '10058.3916192', error '0.0000000'
Test #27:
score: 0
Accepted
time: 13ms
memory: 11028kb
input:
-6582 -2629 -1742 6935 5531 -2010 1455 1794 -3461 9066
output:
20018.3757266857331131529775798
result:
ok found '20018.3757267', expected '20018.3757267', error '0.0000000'
Test #28:
score: 0
Accepted
time: 7ms
memory: 10984kb
input:
-8174 -1075 -6736 -2685 6615 -2151 4184 -1716 -308 5064
output:
16260.3532322229916596585729491
result:
ok found '16260.3532322', expected '16260.3532322', error '0.0000000'
Test #29:
score: 0
Accepted
time: 16ms
memory: 11076kb
input:
5291 1243 8982 5204 8450 -1177 -5306 -1390 2460 8858
output:
23316.8500582543528176813940458
result:
ok found '23316.8500583', expected '23316.8500583', error '0.0000000'
Test #30:
score: 0
Accepted
time: 13ms
memory: 11008kb
input:
-4229 2060 9017 -2659 5812 9887 -9973 5460 -2671 4205
output:
18310.3049215939742296615277916
result:
ok found '18310.3049216', expected '18310.3049216', error '0.0000000'
Test #31:
score: 0
Accepted
time: 13ms
memory: 11072kb
input:
0 0 8 0 3 0 8 8 8 3
output:
10.000
result:
ok found '10.0000000', expected '10.0000000', error '0.0000000'
Test #32:
score: 0
Accepted
time: 13ms
memory: 10976kb
input:
0 0 8 0 2 8 8 16 8 2
output:
12.0000000000000000000000000000
result:
ok found '12.0000000', expected '12.0000000', error '0.0000000'
Test #33:
score: 0
Accepted
time: 9ms
memory: 11008kb
input:
0 0 8 0 2 10 10 18 10 2
output:
14.8284271247461900976033774484
result:
ok found '14.8284271', expected '14.8284271', error '0.0000000'
Test #34:
score: 0
Accepted
time: 12ms
memory: 11112kb
input:
0 0 8 0 100000 10 10 18 10 100000
output:
200002.828747124745934097603787
result:
ok found '200002.8287471', expected '200002.8287471', error '0.0000000'
Test #35:
score: 0
Accepted
time: 12ms
memory: 10984kb
input:
51412 80788 39091 71527 97605 6327 44899 20415 -12571 86627
output:
194757.486833428939427897955768
result:
ok found '194757.4868334', expected '194757.4868334', error '0.0000000'
Test #36:
score: 0
Accepted
time: 13ms
memory: 11108kb
input:
-43347 56743 17244 83573 86143 -90081 -3018 -22063 -95528 26489
output:
179973.341845177795468225820912
result:
ok found '179973.3418452', expected '179973.3418452', error '0.0000000'
Test #37:
score: 0
Accepted
time: 12ms
memory: 11136kb
input:
88637 -28248 308 -92620 47395 -57673 62668 -66785 923 49207
output:
210116.821817332454474103327589
result:
ok found '210116.8218173', expected '210116.8218173', error '0.0000000'
Test #38:
score: 0
Accepted
time: 16ms
memory: 11004kb
input:
59768 12643 57116 -71451 64957 -43638 42191 -37837 9851 1875
output:
171578.651505342092695804688499
result:
ok found '171578.6515053', expected '171578.6515053', error '0.0000000'
Test #39:
score: 0
Accepted
time: 8ms
memory: 10920kb
input:
-46206 -30845 -28470 3652 33497 74620 -92045 75046 -19320 48537
output:
147174.131714614665692990122404
result:
ok found '147174.1317146', expected '147174.1317146', error '0.0000000'
Test #40:
score: 0
Accepted
time: 12ms
memory: 10972kb
input:
65899 65734 27624 70256 81635 -97389 -56422 -91684 -53179 88643
output:
317109.421796759350128053022335
result:
ok found '317109.4217968', expected '317109.4217968', error '0.0000000'
Test #41:
score: 0
Accepted
time: 16ms
memory: 11024kb
input:
-25117 -50391 569 -34721 73972 -90107 -83510 -46359 -95477 83257
output:
174084.670254181905471622985368
result:
ok found '174084.6702542', expected '174084.6702542', error '0.0000000'
Test #42:
score: -100
Wrong Answer
time: 17ms
memory: 10960kb
input:
6832 -56636 7968 -59867 82961 6289 -49692 -56413 -38910 90946
output:
174287.458482587657492010054901
result:
wrong answer 1st numbers differ - expected: '184208.6118875', found: '174287.4584826', error = '0.0538582'