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Copy path13705.py
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69 lines (58 loc) · 1.42 KB
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importmath
fromdecimalimport*
getcontext().prec=50
getcontext().rounding=ROUND_HALF_UP
pi=Decimal('3.14159265358979323846264338327950288419716939937510')
a, b, c=input().split()
a=Decimal(a)
b=Decimal(b)
c=Decimal(c)
# print(a,b,c)
defdecimal_sin(x):
x=x% (Decimal('2') *pi)
i=Decimal('1') # 1, 3, 5, 7 ...
lasts=Decimal('0')
value=Decimal(x)
fact=Decimal('1')
num=Decimal(x)
sign=Decimal(1)
whilevalue!=lasts:
lasts=value
i+=2
fact*=i* (i-1)
num*=x*x
sign*=-1
value+=num/fact*sign
returnDecimal(value)
defdecimal_cos(x):
x=x% (Decimal('2') *pi)
i=Decimal('0') # 0, 2, 4, 8 ...
lasts=Decimal('0')
value=Decimal('1')
fact=Decimal('1')
num=Decimal(x)
sign=Decimal(1)
whilevalue!=lasts:
lasts=value
i+=2
fact*=i* (i-1)
num*=x*x
sign*=-1
value+=num/fact*sign
returnDecimal(value)
deffunc(x) ->float:
returna*x+b*decimal_sin(x) -c
defderivative(x) ->float:
returna+b*decimal_cos(x)
left=c/a-Decimal('1')
right=c/b+Decimal('1')
whileright-left>Decimal(1e-20):
mid= (left+right) /2
iffunc(mid) >0:
right=mid
eliffunc(mid) <0:
left=mid
else:
break
ans= (left+right) /2
print(round(ans, 6))