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ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#559910 | #6395. Equation Discovering | chimera | TL | 19ms | 11076kb | Python3 | 1.8kb | 2024-09-12 10:27:28 | 2024-09-12 10:27:30 |
Judging History
answer
import math
import functools
N = int(input())
Xys = [tuple(map(eval,input().split())) for _ in range(N)]
def sin(vs):
return [math.sin(v) for v in vs]
def cos(vs):
return [math.cos(v) for v in vs]
def add(vs1, vs2):
return [v1+v2 for v1,v2 in zip(vs1,vs2)]
def mul(vs1, vs2):
return [v1*v2 for v1,v2 in zip(vs1,vs2)]
def div(vs1, vs2):
if not len(vs2) or min(vs2) < .01:
return []
return [v1/v2 for v1,v2 in zip(vs1,vs2)]
def sub(vs1, vs2):
return [v1-v2 for v1,v2 in zip(vs1,vs2)]
@functools.lru_cache(maxsize=None)
def evl(e):
if e == 'x':
return [a[0] for a in Xys]
operand = e[0]
args = tuple(map(evl, e[1:]))
return eval(operand)(*args)
def chk(e):
reslt = evl(e)
if len(reslt) and max([abs(r-y)/max(1,abs(y)) for r,y in zip(reslt, [v[1] for v in Xys])]) <= 1e-3:
return True
def pprint(e):
#print(e)
if e == 'x':
return e
if e[0] in ('sin','cos'):
return f'{e[0]}({pprint(e[1])})'
mpd = {'add':'+','sub':'-','mul':'*','div':'/'}
return f'({pprint(e[1])}{mpd[e[0]]}{pprint(e[2])})'
exprs = [['x']]
for i in range(1,10):
e2 = [('sin', v) for v in exprs[-1]] + [('cos', v) for v in exprs[-1]]
for nl in range(0, (i-2)+1):
nr = i - 2 - nl
for op in ('add','mul','div','sub'):
if (op == 'add' or op == 'mul') and nl < nr:
continue
for v1 in exprs[nl]:
for v2 in exprs[nr]:
e2.append((op, v1, v2))
exprs.append(e2)
for e in e2:
#assert e.count('sin') + e.count('cos') + 2*sum(e.count(x) for x in ('add','mul','div','sub')) == i
if chk(e):
print(pprint(e))
quit()
pass
print(len(exprs[-1]))
詳細信息
Test #1:
score: 100
Accepted
time: 8ms
memory: 10916kb
input:
3 1.000000 1.000000 2.000000 4.000000 3.000000 9.000000
output:
(x*x)
result:
ok great!!
Test #2:
score: 0
Accepted
time: 19ms
memory: 11076kb
input:
3 0.618000 1.517072 0.314000 3.132637 1.414000 0.494016
output:
(sin(x)/(x*x))
result:
ok great!!
Test #3:
score: 0
Accepted
time: 11ms
memory: 11076kb
input:
5 77.685777 233.057331 -66.445083 -199.335249 79.966717 239.900151 84.982130 254.946390 -31.528900 -94.586700
output:
((x+x)+x)
result:
ok great!!
Test #4:
score: -100
Time Limit Exceeded
input:
5 25.032427 -0.100652 38.727324 1.658518 27.684334 -0.669555 64.282391 8.275303 52.640700 -0.962660