ihdZddlmZddlZddlZddlZddlZddl m Z m Z m Z m Z mZddlmZmZmZmZmZej*rddlmZddlmZmZmZd Zej:d Zej:d Zej:d Z e!d Z"ejFddZ$ejFddZ$dZ$ejFddZ%ejFddZ%dZ%ejF ddZ&ejF ddZ&ejF ddZ&ejF ddZ&ejF ddZ&ejFddZ&ejFdddZ&ejFdddZ&ddZ&ejFddZ'ejFddZ'dZ'ejF dd Z(ejF dd!Z(ejF dd"Z(ejF dd#Z(ejF dd$Z(ejF dd%Z(ejF d dd&Z(ejFddd'Z(dd(Z(ddd)Z)ej:d*e*e!d+Z+ej:d,e*e!d+Z,ej:d-e*e!d+Z-ddd.Z.dd/Z/ddd0Z0ejFe f dd1Z1ejF dd2Z1ejFe f dd3Z1ejF dd4Z1e fd5Z1ejFde f dd6Z2ejFe f dd7Z2ejF dd8Z2ejF d dd9Z2ejFde f dd:Z2ejFe f dd;Z2ejF dd<Z2ejF d dd=Z2ejFe fdd>Z2ejFdd?Z2de fd@Z2ejF ddAZ3ejF ddBZ3ejF ddCZ3ejF ddDZ3ejF ddEZ3ejF ddFZ3ejFdddGZ3ddHZ3ejFe f ddIZ4ejF ddJZ4ejFe f ddKZ4ejF ddLZ4e fdMZ4ejFde f ddNZ5ejFe f ddOZ5ejF ddPZ5ejF d ddQZ5ejFde f ddRZ5ejFe f ddSZ5ejF ddTZ5ejF d ddUZ5ejFe fddVZ5ejFddWZ5de fdXZ5ddYZ6ejFddZZ7ejFdd[Z7ejFdd\Z7ejFdd]Z7ejFdd^Z7d_Z7ejFdd`Z8ejFddaZ8ejFddbZ8ejFddcZ8ddZ8ejFdddeZ9ejFdddfZ9ddgZ9ejFddhZ:ejFddiZ:ejFdddjZ:dddkZ:ejF ddlZ;ejF ddmZ;dnZ;ddoZejFddtZ?ejFdduZ?dvZ?ejF ddwZ@ejF ddxZ@ejF ddyZ@ejF ddzZ@ejFdd{Z@ejFdd|Z@ejFddd}Z@dd~Z@dZAdZBy)zD Numerical/mathematical related functions. .. versionadded:: 2.1.0 ) annotationsN)UNSETUnsetiteratoriterator_with_default iteriteratee) IterateeObjTNumberNoDecimalTNumberT SupportsMul SupportsRound)Decimal) SupportsAddSupportsRichComparisonT SupportsSub)addceilclampdividefloormax_max_bymeanmean_bymedianmin_min_by moving_meanmultiplypowerround_scaleslope std_deviationsum_sum_bysubtract transposevariancezscoreTT2T3infcyNabs H/home/Script/Script_env/lib/python3.12/site-packages/pydash/numerical.pyrr=.1cyr1r2r3s r6rrAr7r8c ||zS)a Adds two numbers. Args: a: First number to add. b: Second number to add. Returns: number Example: >>> add(10, 5) 15 .. versionadded:: 2.1.0 .. versionchanged:: 3.3.0 Support adding two numbers when passed as positional arguments. .. versionchanged:: 4.0.0 Only support two argument addition. r2r3s r6rrEs 0 q5Lr8cyr1r2 collections r6r&r&`DGr8cyr1r2r<s r6r&r&ds>Ar8ct|S)a Sum each element in `collection`. Args: collection: Collection to process or first number to add. Returns: Result of summation. Example: >>> sum_([1, 2, 3, 4]) 10 .. versionadded:: 2.1.0 .. versionchanged:: 3.3.0 Support adding two numbers when passed as positional arguments. .. versionchanged:: 4.0.0 Move iteratee support to :func:`sum_by`. Move two argument addition to :func:`add`. )r'r<s r6r&r&hs0 * r8cyr1r2r=iteratees r6r'r's r8cyr1r2rBs r6r'r' r8cyr1r2rBs r6r'r'rEr8cyr1r2rBs r6r'r'rEr8cyr1r2rBs r6r'r'rEr8cyr1r2rBs r6r'r'`cr8cyr1r2rBs r6r'r's]`r8cyr1r2rBs r6r'r'sWZr8c:tdt||DS)a Sum each element in `collection`. If iteratee is passed, each element of `collection` is passed through an iteratee before the summation is computed. Args: collection: Collection to process or first number to add. iteratee: Iteratee applied per iteration or second number to add. Returns: Result of summation. Example: >>> sum_by([1, 2, 3, 4], lambda x: x**2) 30 .. versionadded:: 4.0.0 c3&K|] }|d ywrNr2).0results r6 zsum_by..sJVvayJ)sumr rBs r6r'r's& J|J'IJ JJr8cyr1r2r<s r6rrsLOr8cyr1r2r<s r6rrsFIr8ct|S)a Calculate arithmetic mean of each element in `collection`. Args: collection: Collection to process. Returns: Result of mean. Example: >>> mean([1, 2, 3, 4]) 2.5 .. versionadded:: 2.1.0 .. versionchanged:: 4.0.0 - Removed ``average`` and ``avg`` aliases. - Moved iteratee functionality to :func:`mean_by`. )rr<s r6rrs, : r8cyr1r2rBs r6rr r8cyr1r2rBs r6rr r8cyr1r2rBs r6rrr[r8cyr1r2rBs r6rrr[r8cyr1r2rBs r6rrr[r8cyr1r2rBs r6rrr[r8cyr1r2rBs r6rr r[r8cyr1r2rBs r6rrrJr8c2t||t|z S)a Calculate arithmetic mean of each element in `collection`. If iteratee is passed, each element of `collection` is passed through an iteratee before the mean is computed. Args: collection: Collection to process. iteratee: Iteratee applied per iteration. Returns: Result of mean. Example: >>> mean_by([1, 2, 3, 4], lambda x: x**2) 7.5 .. versionadded:: 4.0.0 )r'lenrBs r6rrs& *h '#j/ 99r8c8ttj||S)ak Round number up to precision. Args: x: Number to round up. precision: Rounding precision. Defaults to ``0``. Returns: Number rounded up. Example: >>> ceil(3.275) == 4.0 True >>> ceil(3.215, 1) == 3.3 True >>> ceil(6.004, 2) == 6.01 True .. versionadded:: 3.3.0 )roundermathrx precisions r6rr*s, 499a ++r8NumTrNumT2NumT3c2||}|}||kr|}|S||kDr|}|S)a Clamps number within the inclusive lower and upper bounds. Args: x: Number to clamp. lower: Lower bound. upper: Upper bound Returns: number Example: >>> clamp(-10, -5, 5) -5 >>> clamp(10, -5, 5) 5 >>> clamp(10, 5) 5 >>> clamp(-10, 5) -10 .. versionadded:: 4.0.0 r2)rhloweruppers r6rrHs92 }5y  H U  Hr8c:t||tjdS)a Divide two numbers. Args: dividend: The first number in a division. divisor: The second number in a division. Returns: Returns the quotient. Example: >>> divide(20, 5) 4.0 >>> divide(1.5, 3) 0.5 >>> divide(None, None) 1.0 >>> divide(5, None) 5.0 .. versionadded:: 4.0.0 r)call_math_operatoroperatortruediv)dividenddivisors r6rrms0 h1A1A1 EEr8c8ttj||S)as Round number down to precision. Args: x: Number to round down. precision: Rounding precision. Defaults to ``0``. Returns: Number rounded down. Example: >>> floor(3.75) == 3.0 True >>> floor(3.215, 1) == 3.2 True >>> floor(0.046, 2) == 0.04 True .. versionadded:: 3.3.0 )rerfrrgs r6rrs, 4::q) ,,r8cyr1r2r=defaults r6rr!$r8cyr1r2rxs r6rr-0r8cyr1r2rxs r6rrrzr8cyr1r2rxs r6rrr|r8ct||S)a Retrieves the maximum value of a `collection`. Args: collection: Collection to iterate over. default: Value to return if `collection` is empty. Returns: Maximum value. Example: >>> max_([1, 2, 3, 4]) 4 >>> max_([], default=-1) -1 .. versionadded:: 1.0.0 .. versionchanged:: 4.0.0 Moved iteratee iteratee support to :func:`max_by`. ry)rrxs r6rr. *g ..r8cyr1r2r=rCrys r6rr !$r8cyr1r2rs r6rr r8cyr1r2rs r6rr r8cyr1r2rs r6rrr|r8cyr1r2rs r6rrrzr8cyr1r2rs r6rrrr8cyr1r2rs r6rrr8cyr1r2rs r6rrr|r8cyr1r2rs r6rr \_r8cyr1r2rs r6rr^ar8ct|tr|j}tt ||t j |S)a Retrieves the maximum value of a `collection`. Args: collection: Collection to iterate over. iteratee: Iteratee applied per iteration. default: Value to return if `collection` is empty. Returns: Maximum value. Example: >>> max_by([1.0, 1.5, 1.8], math.floor) 1.0 >>> max_by([{"a": 1}, {"a": 2}, {"a": 3}], "a") {'a': 3} >>> max_by([], default=-1) -1 .. versionadded:: 4.0.0 key) isinstancedictvaluesmaxrpydrCrs r6rrs:.*d#&&( $Z9s||H?U VVr8cyr1r2rBs r6rr1r8cyr1r2rBs r6rr7rr8cyr1r2rBs r6rr=rr8cyr1r2rBs r6rrCrr8cyr1r2rBs r6rrIrr8cyr1r2rBs r6rrOrr8cyr1r2rBs r6rrUs[^r8ct|}|dzdz }tdt||D}tj|r|t |dz }|St |dz }t |dz }||||zdz }|S)a Calculate median of each element in `collection`. If iteratee is passed, each element of `collection` is passed through an iteratee before the median is computed. Args: collection: Collection to process. iteratee: Iteratee applied per iteration. Returns: Result of median. Example: >>> median([1, 2, 3, 4, 5]) 3 >>> median([1, 2, 3, 4]) 2.5 .. versionadded:: 2.1.0 rc3&K|] }|d ywrOr2)rPrets r6rRzmedian..psM3AMrSg?g?)rcsortedr ris_oddint)r=rClengthmiddlerQleftrights r6rrYs*_FqjA FM,z8*LMMJ zz&C O, M 6C< FSL!T"Z%66!; Mr8cyr1r2rxs r6rr|rzr8cyr1r2rxs r6rrr|r8cyr1r2rxs r6rrrzr8cyr1r2rxs r6rrr|r8ct||S)a Retrieves the minimum value of a `collection`. Args: collection: Collection to iterate over. default: Value to return if `collection` is empty. Returns: Minimum value. Example: >>> min_([1, 2, 3, 4]) 1 >>> min_([], default=100) 100 .. versionadded:: 1.0.0 .. versionchanged:: 4.0.0 Moved iteratee iteratee support to :func:`min_by`. r)rrxs r6rrrr8cyr1r2rs r6rrrr8cyr1r2rs r6rrrr8cyr1r2rs r6rrrr8cyr1r2rs r6rrr|r8cyr1r2rs r6rrrzr8cyr1r2rs r6rrrr8cyr1r2rs r6rrrr8cyr1r2rs r6rrr|r8cyr1r2rs r6rrrr8cyr1r2rs r6rrrr8ct|tr|j}tt ||t j |S)a Retrieves the minimum value of a `collection`. Args: collection: Collection to iterate over. iteratee: Iteratee applied per iteration. default: Value to return if `collection` is empty. Returns: Minimum value. Example: >>> min_by([1.8, 1.5, 1.0], math.floor) 1.8 >>> min_by([{"a": 1}, {"a": 2}, {"a": 3}], "a") {'a': 1} >>> min_by([], default=100) 100 .. versionadded:: 4.0.0 r)rrrminrrrCrs r6rrs:.*d#&&( $Z9s||H?U VVr8cg}t|}t|dz t|dzD]3}|||z |}t||k(s|jt |5|S)a; Calculate moving mean of each element of `array`. Args: array: List to process. size: Window size. Returns: Result of moving average. Example: >>> moving_mean(range(10), 1) [0.0, 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0] >>> moving_mean(range(10), 5) [2.0, 3.0, 4.0, 5.0, 6.0, 7.0] >>> moving_mean(range(10), 10) [4.5] .. versionadded:: 2.1.0 .. versionchanged:: 4.0.0 Rename to ``moving_mean`` and remove ``moving_average`` and ``moving_avg`` aliases. r)rrangercappendr)arraysizerQiwindows r6rr sg2F t9D 4!8SZ!^ ,(q4x!$ v;$  MM$v, ' ( Mr8cyr1r2 multiplier multiplicands r6r r 0JMr8cyr1r2rs r6r r 4rr8cyr1r2rs r6r r 8s;>r8cyr1r2rs r6r r <EHr8cyr1r2rs r6r r @rr8c:t||tjdS)a Multiply two numbers. Args: multiplier: The first number in a multiplication. multiplicand: The second number in a multiplication. Returns: Returns the product. Example: >>> multiply(4, 5) 20 >>> multiply(10, 4) 40 >>> multiply(None, 10) 10 >>> multiply(None, None) 1 .. versionadded:: 4.0.0 r)rqrrmulrs r6r r Ds0 j, a HHr8cyr1r2rhns r6r!r!_s25r8cyr1r2rs r6r!r!cs69r8cyr1r2rs r6r!r!gBEr8cyr1r2rs r6r!r!ksNQr8ctj|rt||}|Stj|r|Dcgc]}t||}}|Sd}|Scc}w)aa Calculate exponentiation of `x` raised to the `n` power. Args: x: Base number. n: Exponent. Returns: Result of calculation. Example: >>> power(5, 2) 25 >>> power(12.5, 3) 1953.125 .. versionadded:: 2.1.0 .. versionchanged:: 4.0.0 Removed alias ``pow_``. N)r is_numberpowis_list)rhrrQitems r6r!r!os`. }}QQ M Q+,-4#dA,-- M M .sAcyr1r2rgs r6r"r"sTWr8cyr1r2rgs r6r"r"r>r8c$tt||S)au Round number to precision. Args: x: Number to round. precision: Rounding precision. Defaults to ``0``. Returns: Rounded number. Example: >>> round_(3.275) == 3.0 True >>> round_(3.275, 1) == 3.3 True .. versionadded:: 2.1.0 .. versionchanged:: 4.0.0 Remove alias ``curve``. )reroundrgs r6r"r"s. 5!Y ''r8cyr1r2rmaximums r6r#r#sRUr8cyr1r2rs r6r#r#rr8cyr1r2rs r6r#r#rr8cRt|}||z }|Dcgc]}||z c}Scc}w)a Scale list of value to a maximum number. Args: array: Numbers to scale. maximum: Maximum scale value. Returns: Scaled numbers. Example: >>> scale([1, 2, 3, 4]) [0.25, 0.5, 0.75, 1.0] >>> scale([1, 2, 3, 4], 1) [0.25, 0.5, 0.75, 1.0] >>> scale([1, 2, 3, 4], 4) [1.0, 2.0, 3.0, 4.0] >>> scale([1, 2, 3, 4], 2) [0.5, 1.0, 1.5, 2.0] .. versionadded:: 2.1.0 )r)rr array_maxfactorrs r6r#r#s/0E I y F&+ ,dD6M ,, ,s $cyr1r2point1point2s r6r$r$sr8cyr1r2rs r6r$r$rYr8c^|d|d}}|d|d}}||k(rt}|S||z ||z z }|S)a( Calculate the slope between two points. Args: point1: X and Y coordinates of first point. point2: X and Y cooredinates of second point. Returns: Calculated slope. Example: >>> slope((1, 2), (4, 8)) 2.0 .. versionadded:: 2.1.0 rr)INFINITY)rrx1y1x2y2rQs r6r$r$sR$AYq B AYq B Rx Mr'b2g& Mr8c>tjt|S)aN Calculate standard deviation of list of numbers. Args: array: List to process. Returns: Calculated standard deviation. Example: >>> round(std_deviation([1, 18, 20, 4]), 2) == 8.35 True .. versionadded:: 2.1.0 .. versionchanged:: 4.0.0 Remove alias ``sigma``. )rfsqrtr*rs r6r%r%s( 99Xe_ %%r8cyr1r2minuend subtrahends r6r(r(rr8cyr1r2rs r6r(r(!rr8c:t||tjdS)at Subtracts two numbers. Args: minuend: Value passed in by the user. subtrahend: Value passed in by the user. Returns: Result of the difference from the given values. Example: >>> subtract(10, 5) 5 >>> subtract(-10, 4) -14 >>> subtract(2, 0.5) 1.5 .. versionadded:: 4.0.0 r)rqrrsubrs r6r(r(%s, gz8<< CCr8cg}t|D]1\}}t|D]\}}tj|||g|} 3|S)a  Transpose the elements of `array`. Args: array: List to process. Returns: Transposed list. Example: >>> transpose([[1, 2, 3], [4, 5, 6], [7, 8, 9]]) [[1, 4, 7], [2, 5, 8], [3, 6, 9]] .. versionadded:: 2.1.0 )rrset_)rtransyrowrhcols r6r)r)>sT" "E5/13sm 1FAsHHUQFC0E 11 Lr8cyr1r2rs r6r*r*XsKNr8cyr1r2rs r6r*r*\rr8ct|fd}tj|j|jj S)z Calculate the variance of the elements in `array`. Args: array: List to process. Returns: Calculated variance. Example: >>> variance([1, 18, 20, 4]) 69.6875 .. versionadded:: 2.1.0 c"t|z dS)Nr)r!)rhavgs r6varzvariance..varssQWa  r8)rr_map_value)rr r s @r6r*r*`s@" u+C! 55<  S ! & & ( . . 00r8cyr1r2rBs r6r+r+yr8cyr1r2rBs r6r+r+rr8cyr1r2rBs r6r+r+rr8cyr1r2rBs r6r+r+rr8cyr1r2rBs r6r+r+sadr8cyr1r2rBs r6r+r+rr8cyr1r2rBs r6r+r+sUXr8ctj||}t|}t|}|Dcgc] }||z |z  c}Scc}w)a Calculate the standard score assuming normal distribution. If iteratee is passed, each element of `collection` is passed through an iteratee before the standard score is computed. Args: collection: Collection to process. iteratee: Iteratee applied per iteration. Returns: Calculated standard score. Example: >>> results = zscore([1, 2, 3]) # [-1.224744871391589, 0.0, 1.224744871391589] .. versionadded:: 2.1.0 )rr rr%)r=rCrr sigrs r6r+r+sD( HHZ *E u+C  C+0 14TCZ3  11 1sAc||}||}tj|s t|}tj|s t|}|||S#t$rY5wxYw#t$rY#wxYw)z.rounder_funcsD9$% 11r8)rrr is_iterable TypeError)r!rhrir"rQrs` ` r6reresB "I2F }}Qa M   567Tl4(7F7 M6M 8   M s$ A*A%A*%A** A76A7)r4'SupportsAdd[T, T2]'r5r,returnr-)r4r,r5r%r&r-)r='t.Mapping[t.Any, 'SupportsAdd[int, T]']r&r,)r=!t.Iterable['SupportsAdd[int, T]']r&r,)r=t.Mapping[T, T2]rCz:t.Callable[[T2, T, t.Dict[T, T2]], 'SupportsAdd[int, T3]']r&r.)r=r)rCz+t.Callable[[T2, T], 'SupportsAdd[int, T3]']r&r.)r=t.Mapping[t.Any, T2]rCz(t.Callable[[T2], 'SupportsAdd[int, T3]']r&r.)r= t.Iterable[T]rCz7t.Callable[[T, int, t.List[T]], 'SupportsAdd[int, T2]']r&r-)r=r+rCz,t.Callable[[T, int], 'SupportsAdd[int, T2]']r&r-)r=r+rCz't.Callable[[T], 'SupportsAdd[int, T2]']r&r-r1)r=r'rCNoner&r,)r=r(rCr,r&r,)r=+t.Mapping[t.Any, 'SupportsAdd[int, t.Any]']r&r)r=%t.Iterable['SupportsAdd[int, t.Any]']r&r)r=r)rCz=t.Callable[[T2, T, t.Dict[T, T2]], 'SupportsAdd[int, t.Any]']r&r)r=r)rCz.t.Callable[[T2, T], 'SupportsAdd[int, t.Any]']r&r)r=r*rCz+t.Callable[[T2], 'SupportsAdd[int, t.Any]']r&r)r=r+rCz:t.Callable[[T, int, t.List[T]], 'SupportsAdd[int, t.Any]']r&r)r=r+rCz/t.Callable[[T, int], 'SupportsAdd[int, t.Any]']r&r)r=r+rCz*t.Callable[[T], 'SupportsAdd[int, t.Any]']r&r)r=r-rCr,r&r)r=r.rCr,r&r)r)rhr rirr&r)rhrjrnrkrozt.Union[NumT3, None]r&zt.Union[NumT, NumT2, NumT3])rtt.Union[NumberT, None]rur/r&r)r=+t.Mapping[t.Any, 'SupportsRichComparisonT']ryrr&'SupportsRichComparisonT')r=r0ryr,r&%t.Union['SupportsRichComparisonT', T])r=%t.Iterable['SupportsRichComparisonT']ryrr&r1)r=r3ryr,r&r2)r=r0rCr,ryrr&r1)r=r*rC+t.Callable[[T2], 'SupportsRichComparisonT']ryrr&r-)r=r*rCr4ryr,r&t.Union[T2, T])r=r0rCr,ryr,r&r2)r=r3rCr,ryrr&r1)r=t.Iterable[T2]rCr4ryrr&r-)r=r6rCr4ryr,r&r5)r=r3rCr,ryr,r&r2)r=r+rCr ryrr&r,)r=r+rCr ryr-r&zt.Union[T, T2])r=r)rC+t.Callable[[T2, T, t.Dict[T, T2]], NumberT]r&t.Union[float, int])r=r)rCt.Callable[[T2, T], NumberT]r&r8)r=r*rCt.Callable[[T2], NumberT]r&r8)r=r+rC(t.Callable[[T, int, t.List[T]], NumberT]r&r8)r=r+rCt.Callable[[T, int], NumberT]r&r8)r=r+rCt.Callable[[T], NumberT]r&r8)r=t.Iterable[NumberT]rCr,r&r8)rz%t.Sequence['SupportsAdd[int, t.Any]']rz t.SupportsIntr& t.List[float])rSupportsMul[int, T2]rr,r&r-)rr,rr@r&r-)rr,rr,r&r)rSupportsMul[T, T2]rr,r&r-)rr,rrAr&r-)rhrrrr&t.Union[int, float])rhrrrBr&r)rhz t.List[int]rrr&t.List[t.Union[int, float]])rhr?rrCr&r?)rhzt.List[SupportsRound[NumberT]]rirr&r?)rhzSupportsRound[NumberT]rirr&r)rzt.Iterable['Decimal']r 'Decimal'r&zt.List['Decimal'])rzt.Iterable[NumberNoDecimalT]rr r&r?)r)rr>rrr&r?)rr )r9t.Union[t.Tuple['Decimal', 'Decimal'], t.List['Decimal']]rrEr&rD)rNt.Union[t.Tuple[NumberNoDecimalT, NumberNoDecimalT], t.List[NumberNoDecimalT]]rrFr&r)rzt.List[NumberT]r&r)r'SupportsSub[T, T2]'rr,r&r-)rr,rrGr&r-)rzt.Iterable[t.Iterable[T]]r&zt.List[t.List[T]])rr-r&r)rr.r&r)r=r)rCr7r&r?)r=r)rCr9r&r?)r=r*rCr:r&r?)r=r+rCr;r&r?)r=r+rCr<r&r?)r=r+rCr=r&r?)r=r>rCr,r&r?)C__doc__ __future__rrfrrtypingtpydashrhelpersrrrrr typesr r r r r TYPE_CHECKINGdecimalr _typeshedrrr__all__TypeVarr,r-r.rroverloadrr&r'rrrrrjrkrlrrrrrrrrrr r!r"r#r$r%r(r)r*r+rqrer2r8r6rUs1 # PPVV??KK 8AIIcNQYYt_QYYt_ <1 11 16G GA A6   H       ,W     $ 0X      )`      )U    c c` `Z ZK,O OI I2 K    ,Z   $0[   )c   )X   )S   NR;GK   c c:,,2qyyeY/ '3y1 '3y1" JF6-2NS$;$FK$$ $ 0;0FG0*0 0 HM$5$@E$$ $ 050@A0*0 0 #/4$;$$$ $ $ $ 9      $9    NR0;0GK0`a0*0 0 HL_d$5$AE$W\$$ $   9      *Ucd  HL050AE0Z[0*0 0 OT_ _a a!%eW: ,W   ,H  $0I  )Q  )F  )A  ^ ^ FNS$;$FK$$ $ 0;0FG0*0 0 HM$5$@E$$ $ 050@A0*0 0 #/4$;$$$ $ $ $ 9      $9    NR0;0GK0`a0*0 0 HL_d$5$AE$W\$$ $   9      *Ucd  HL050AE0Z[0*0 0 OT_ _a a!%eW8"JM MM M> >H HH HI65 59 9E EQ QBW WG G(4U U_ _M M-: E E   Z Z   :&.E EE ED24N NH H12 ,W   ,H  $0I  )Q  d d_ _X X2@.r8