From dc9fb49fa7359a58f88c6d0e87c6afa257b4a171 Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Sat, 30 Mar 2024 22:35:34 +0000 Subject: [PATCH] build based on cae94d8 --- dev/.documenter-siteinfo.json | 2 +- dev/API/index.html | 104 ++++++++++---------- dev/ECC_API/index.html | 10 +- dev/ECC_evaluating/087130e3.png | Bin 0 -> 43042 bytes dev/ECC_evaluating/7d5708b7.png | Bin 0 -> 53707 bytes dev/ECC_evaluating/91822507.png | Bin 42630 -> 0 bytes dev/ECC_evaluating/c4115ee1.png | Bin 55108 -> 0 bytes dev/ECC_evaluating/index.html | 4 +- dev/allops/index.html | 2 +- dev/canonicalization/142c2f55.png | Bin 9380 -> 0 bytes dev/canonicalization/32360473.png | Bin 0 -> 9676 bytes dev/canonicalization/44da4432.png | Bin 9688 -> 0 bytes dev/canonicalization/92278db6.png | Bin 0 -> 9344 bytes dev/canonicalization/9a6c4f34.png | Bin 9469 -> 0 bytes dev/canonicalization/ad18a861.png | Bin 0 -> 9450 bytes dev/canonicalization/c973acfa.png | Bin 9393 -> 0 bytes dev/canonicalization/fd84f7db.png | Bin 0 -> 9515 bytes dev/canonicalization/index.html | 8 +- dev/commonstates/index.html | 2 +- dev/datastructures/index.html | 2 +- dev/ecc_example_sim/index.html | 6 +- dev/graphs/index.html | 2 +- dev/index.html | 2 +- dev/mixed/index.html | 2 +- dev/noise/index.html | 2 +- dev/noisycircuits/index.html | 2 +- dev/noisycircuits_API/index.html | 2 +- dev/noisycircuits_mc/index.html | 4 +- dev/noisycircuits_ops/index.html | 2 +- dev/noisycircuits_perturb/index.html | 4 +- dev/plotting/{02df6a53.svg => 025bf3ba.svg} | 12 +-- dev/plotting/{94ede6ac.svg => 2d7f2901.svg} | 12 +-- dev/plotting/{b4231246.svg => 42cf79e2.svg} | 12 +-- dev/plotting/{f19541db.svg => aa352e04.svg} | 12 +-- dev/plotting/{69d5cb81.svg => b029d8c3.svg} | 12 +-- dev/plotting/index.html | 12 +-- dev/references/index.html | 2 +- dev/stab-algebra-manual/index.html | 2 +- dev/tutandpub/index.html | 2 +- 39 files changed, 120 insertions(+), 120 deletions(-) create mode 100644 dev/ECC_evaluating/087130e3.png create mode 100644 dev/ECC_evaluating/7d5708b7.png delete mode 100644 dev/ECC_evaluating/91822507.png delete mode 100644 dev/ECC_evaluating/c4115ee1.png delete mode 100644 dev/canonicalization/142c2f55.png create mode 100644 dev/canonicalization/32360473.png delete mode 100644 dev/canonicalization/44da4432.png create mode 100644 dev/canonicalization/92278db6.png delete mode 100644 dev/canonicalization/9a6c4f34.png create mode 100644 dev/canonicalization/ad18a861.png delete mode 100644 dev/canonicalization/c973acfa.png create mode 100644 dev/canonicalization/fd84f7db.png rename dev/plotting/{02df6a53.svg => 025bf3ba.svg} (98%) rename dev/plotting/{94ede6ac.svg => 2d7f2901.svg} (98%) rename dev/plotting/{b4231246.svg => 42cf79e2.svg} (99%) rename dev/plotting/{f19541db.svg => aa352e04.svg} (98%) rename dev/plotting/{69d5cb81.svg => b029d8c3.svg} (99%) diff --git a/dev/.documenter-siteinfo.json b/dev/.documenter-siteinfo.json index 293b66684..2ca959d5d 100644 --- a/dev/.documenter-siteinfo.json +++ b/dev/.documenter-siteinfo.json @@ -1 +1 @@ -{"documenter":{"julia_version":"1.10.2","generation_timestamp":"2024-03-27T14:12:30","documenter_version":"1.3.0"}} \ No newline at end of file +{"documenter":{"julia_version":"1.10.2","generation_timestamp":"2024-03-30T22:35:27","documenter_version":"1.3.0"}} \ No newline at end of file diff --git a/dev/API/index.html b/dev/API/index.html index be9d3158b..561f3c6e5 100644 --- a/dev/API/index.html +++ b/dev/API/index.html @@ -4,7 +4,7 @@ padding-top: 0 !important; padding-bottom: 0 !important; } -

States

Stabilizer states can be represented with the Stabilizer, Destabilizer, MixedStabilizer, and MixedDestabilizer tableau data structures. You probably want to use MixedDestabilizer which supports the widest set of operations.

Moreover, a MixedDestabilizer can be stored inside a Register together with a set of classical bits in which measurement results can be written.

Lastly, for Pauli frame simulations there is the PauliFrame type, a tableau in which each row represents a different Pauli frame.

There are convenience constructors for common types of states and operators.

Operations

Acting on quantum states can be performed either:

See the full list of operations for a list of implemented operations.

Autogenerated API list

QuantumClifford.QuantumClifford — Module

A module for using the Stabilizer formalism and simulating Clifford circuits.

source
QuantumClifford.continue_stat — Constant

Returned by applywstatus! if the circuit simulation should continue.

source
QuantumClifford.failure_stat — Constant

Returned by applywstatus! if the circuit reports a failure.

See also: VerifyOp, BellMeasurement.

source
QuantumClifford.false_success_stat — Constant

Returned by applywstatus! if the circuit reports a success, but it is a false positive (i.e., there was an undetected error).

See also: VerifyOp, BellMeasurement.

source
QuantumClifford.true_success_stat — Constant

Returned by applywstatus! if the circuit reports a success and there is no undetected error.

See also: VerifyOp, BellMeasurement.

source
QuantumClifford.AbstractSingleQubitOperator — Type

Supertype of all single-qubit symbolic operators.

source
QuantumClifford.AbstractSymbolicOperator — Type

Supertype of all symbolic operators. Subtype of AbstractCliffordOperator

source
QuantumClifford.AbstractTwoQubitOperator — Type

Supertype of all two-qubit symbolic operators.

source
QuantumClifford.BellMeasurement — Type

A Bell measurement performing the correlation measurement corresponding to the given pauli projections on the qubits at the selected indices.

source
QuantumClifford.CircuitStatus — Type

A convenience struct to represent the status of a circuit simulated by mctrajectories

source
QuantumClifford.ClassicalXOR — Type

Applies an XOR gate to classical bits. Currently only implemented for functionality with pauli frames.

source
QuantumClifford.CliffordOperator — Type

Clifford Operator specified by the mapping of the basis generators.

julia> tCNOT
+
States
Stabilizer states can be represented with the Stabilizer, Destabilizer, MixedStabilizer, and MixedDestabilizer tableau data structures. You probably want to use MixedDestabilizer which supports the widest set of operations.
Moreover, a MixedDestabilizer can be stored inside a Register together with a set of classical bits in which measurement results can be written.
Lastly, for Pauli frame simulations there is the PauliFrame type, a tableau in which each row represents a different Pauli frame.
There are convenience constructors for common types of states and operators.
Operations
Acting on quantum states can be performed either:
  • In a "linear algebra" language where unitaries, measurements, and other operations have separate interfaces. This is an explicitly deterministic lower-level interface, which provides a great deal of control over how tableaux are manipulated. See the Stabilizer Tableau Algebra Manual as a primer on these approaches.
  • Or in a "circuit" language, where the operators (and measurements and noise) are represented as circuit gates. This is a higher-level interface in which the outcome of an operation can be stochastic. The API for it is centered around the apply! function. Particularly useful for Monte Carlo simulations and Perturbative Expansion Symbolic Results.
See the full list of operations for a list of implemented operations.
Autogenerated API list
QuantumClifford.BellMeasurement — Type
A Bell measurement performing the correlation measurement corresponding to the given pauli projections on the qubits at the selected indices.
source
QuantumClifford.CliffordOperator — Type
Clifford Operator specified by the mapping of the basis generators.
julia> tCNOT
 X₁ ⟼ + XX
 X₂ ⟼ + _X
 Z₁ ⟼ + Z_
@@ -33,12 +33,12 @@
 
 julia> CliffordOperator(d)
 X₁ ⟼ + Z
-Z₁ ⟼ + Y
source
QuantumClifford.Destabilizer — Type
A tableau representation of a pure stabilizer state. The tableau tracks the destabilizers as well, for efficient projections. On initialization there are no checks that the provided state is indeed pure. This enables the use of this data structure for mixed stabilizer state, but a better choice would be to use MixedDestabilizer.
source
QuantumClifford.MixedDestabilizer — Type
A tableau representation for mixed stabilizer states that keeps track of the destabilizers in order to provide efficient projection operations.
The rank r of the n-qubit tableau is tracked, either so that it can be used to represent a mixed stabilizer state, or so that it can be used to represent an n-r logical-qubit code over n physical qubits. The "logical" operators are tracked as well.
When the constructor is called on an incomplete Stabilizer it automatically calculates the destabilizers and logical operators, following chapter 4 of (Gottesman, 1997). Under the hood the conversion uses the canonicalize_gott! canonicalization. That canonicalization permutes the columns of the tableau, but we automatically undo the column permutation in the preparation of a MixedDestabilizer so that qubits are not reindexed. The boolean keyword arguments undoperm and reportperm can be used to control this behavior and to report the permutations explicitly.
See also: stabilizerview, destabilizerview, logicalxview, logicalzview
source
QuantumClifford.PauliFrame — Type
struct PauliFrame{T, S} <: QuantumClifford.AbstractQCState
This is a wrapper around a tableau. This "frame" tableau is not to be viewed as a normal stabilizer tableau, although it does conjugate the same under Clifford operations. Each row in the tableau refers to a single frame. The row represents the Pauli operation by which the frame and the reference differ.
source
QuantumClifford.Destabilizer — Type
A tableau representation of a pure stabilizer state. The tableau tracks the destabilizers as well, for efficient projections. On initialization there are no checks that the provided state is indeed pure. This enables the use of this data structure for mixed stabilizer state, but a better choice would be to use MixedDestabilizer.
source
QuantumClifford.MixedDestabilizer — Type
A tableau representation for mixed stabilizer states that keeps track of the destabilizers in order to provide efficient projection operations.
The rank r of the n-qubit tableau is tracked, either so that it can be used to represent a mixed stabilizer state, or so that it can be used to represent an n-r logical-qubit code over n physical qubits. The "logical" operators are tracked as well.
When the constructor is called on an incomplete Stabilizer it automatically calculates the destabilizers and logical operators, following chapter 4 of (Gottesman, 1997). Under the hood the conversion uses the canonicalize_gott! canonicalization. That canonicalization permutes the columns of the tableau, but we automatically undo the column permutation in the preparation of a MixedDestabilizer so that qubits are not reindexed. The boolean keyword arguments undoperm and reportperm can be used to control this behavior and to report the permutations explicitly.
See also: stabilizerview, destabilizerview, logicalxview, logicalzview
source
QuantumClifford.PauliFrame — Type
struct PauliFrame{T, S} <: QuantumClifford.AbstractQCState
This is a wrapper around a tableau. This "frame" tableau is not to be viewed as a normal stabilizer tableau, although it does conjugate the same under Clifford operations. Each row in the tableau refers to a single frame. The row represents the Pauli operation by which the frame and the reference differ.
source
QuantumClifford.PauliFrame — Method
PauliFrame(
     frames,
     qubits,
     measurements
 ) -> PauliFrame{Stabilizer{QuantumClifford.Tableau{Vector{UInt8}, LinearAlgebra.Adjoint{UInt64, Matrix{UInt64}}}}}
-
Prepare an empty set of Pauli frames with the given number of frames and qubits. Preallocates spaces for measurement number of measurements.
source
QuantumClifford.PauliOperator — Type
A multi-qubit Pauli operator ($±\{1,i\}\{I,Z,X,Y\}^{\otimes n}$).
A Pauli can be constructed with the P custom string macro or by building up one through products and tensor products of smaller operators.
julia> pauli3 = P"-iXYZ"
+
Prepare an empty set of Pauli frames with the given number of frames and qubits. Preallocates spaces for measurement number of measurements.
source
QuantumClifford.PauliOperator — Type
A multi-qubit Pauli operator ($±\{1,i\}\{I,Z,X,Y\}^{\otimes n}$).
A Pauli can be constructed with the P custom string macro or by building up one through products and tensor products of smaller operators.
julia> pauli3 = P"-iXYZ"
 -iXYZ
 
 julia> pauli4 = 1im * pauli3 ⊗ X
@@ -55,7 +55,7 @@
 (true, false)
 
 julia> p[1] = (true, true); p
-+ YYZ
source
QuantumClifford.Register — Type
A register, representing the state of a computer including both a tableaux and an array of classical bits (e.g. for storing measurement results)
source
QuantumClifford.Reset — Type
Reset the specified qubits to the given state.
Be careful, this operation implies first tracing out the qubits, which can lead to mixed states if these qubits were entangled with the rest of the system.
See also: sMRZ
source
QuantumClifford.SingleQubitOperator — Type
A "symbolic" general single-qubit operator which permits faster multiplication than an operator expressed as an explicit tableau.
julia> op = SingleQubitOperator(2, true, true, true, false, true, true) # Tableau components and phases
++ YYZ
source
QuantumClifford.Register — Type
A register, representing the state of a computer including both a tableaux and an array of classical bits (e.g. for storing measurement results)
source
QuantumClifford.Reset — Type
Reset the specified qubits to the given state.
Be careful, this operation implies first tracing out the qubits, which can lead to mixed states if these qubits were entangled with the rest of the system.
See also: sMRZ
source
QuantumClifford.SingleQubitOperator — Type
A "symbolic" general single-qubit operator which permits faster multiplication than an operator expressed as an explicit tableau.
julia> op = SingleQubitOperator(2, true, true, true, false, true, true) # Tableau components and phases
 SingleQubitOperator on qubit 2
 X₁ ⟼ - Y
 Z₁ ⟼ - X
@@ -76,7 +76,7 @@
 
 julia> CliffordOperator(op, 1, compact=true) # You can also extract just the non-trivial part of the tableau
 X₁ ⟼ - Y
-Z₁ ⟼ - X
See also: sHadamard, sPhase, sId1, sX, sY, sZ, CliffordOperator
Or simply consult subtypes(QuantumClifford.AbstractSingleQubitOperator) and subtypes(QuantumClifford.AbstractTwoQubitOperator) for a full list. You can think of the s prefix as "symbolic" or "sparse".
source
QuantumClifford.SparseGate — Type
A Clifford gate, applying the given cliff operator to the qubits at the selected indices.
apply!(state, cliff, indices) and apply!(state, SparseGate(cliff, indices)) give the same result.
source
QuantumClifford.StabMixture — Type
mutable struct StabMixture{T, F}
Represents mixture ∑ ϕᵢⱼ Pᵢ ρ Pⱼ† where ρ is a pure stabilizer state.
julia> StabMixture(S"-X")
+Z₁ ⟼ - X
See also: sHadamard, sPhase, sId1, sX, sY, sZ, CliffordOperator
Or simply consult subtypes(QuantumClifford.AbstractSingleQubitOperator) and subtypes(QuantumClifford.AbstractTwoQubitOperator) for a full list. You can think of the s prefix as "symbolic" or "sparse".
source
QuantumClifford.SparseGate — Type
A Clifford gate, applying the given cliff operator to the qubits at the selected indices.
apply!(state, cliff, indices) and apply!(state, SparseGate(cliff, indices)) give the same result.
source
QuantumClifford.StabMixture — Type
mutable struct StabMixture{T, F}
Represents mixture ∑ ϕᵢⱼ Pᵢ ρ Pⱼ† where ρ is a pure stabilizer state.
julia> StabMixture(S"-X")
 A mixture ∑ ϕᵢⱼ Pᵢ ρ Pⱼ† where ρ is
 𝒟ℯ𝓈𝓉𝒶𝒷
 + Z
@@ -101,7 +101,7 @@
  0.0+0.353553im | + _ | + Z
  0.0-0.353553im | + Z | + _
  0.853553+0.0im | + _ | + _
- 0.146447+0.0im | + Z | + Z
See also: PauliChannel
source
QuantumClifford.Stabilizer — Type
Stabilizer, i.e. a list of commuting multi-qubit Hermitian Pauli operators.
Instances can be created with the S custom string macro or as direct sum of other stabilizers.
Stabilizers and Destabilizers
In many cases you probably would prefer to use the MixedDestabilizer data structure, as it caries a lot of useful additional information, like tracking rank and destabilizer operators. Stabilizer has mostly a pedagogical value, and it is also used for slightly faster simulation of a particular subset of Clifford operations.
julia> s = S"XXX
+ 0.146447+0.0im | + Z | + Z
See also: PauliChannel
source
QuantumClifford.Stabilizer — Type
Stabilizer, i.e. a list of commuting multi-qubit Hermitian Pauli operators.
Instances can be created with the S custom string macro or as direct sum of other stabilizers.
Stabilizers and Destabilizers
In many cases you probably would prefer to use the MixedDestabilizer data structure, as it caries a lot of useful additional information, like tracking rank and destabilizer operators. Stabilizer has mostly a pedagogical value, and it is also used for slightly faster simulation of a particular subset of Clifford operations.
julia> s = S"XXX
              ZZI
              IZZ"
 + XXX
@@ -134,7 +134,7 @@
 
 julia> s[1,1] = (true, false); s
 + X_
-+ __
There are no automatic checks for correctness (i.e. independence of all rows, commutativity of all rows, hermiticity of all rows). The rank (number of rows) is permitted to be less than the number of qubits (number of columns): canonilization, projection, etc. continue working in that case. To great extent this library uses the Stabilizer data structure simply as a tableau. This might be properly abstracted away in future versions.
See also: PauliOperator, canonicalize!
source
QuantumClifford.UnitaryPauliChannel — Type
A Pauli channel datastructure, mainly for use with StabMixture.
More convenient to use than PauliChannel when you know your Pauli channel is unitary.
julia> Tgate = UnitaryPauliChannel(
++ __
There are no automatic checks for correctness (i.e. independence of all rows, commutativity of all rows, hermiticity of all rows). The rank (number of rows) is permitted to be less than the number of qubits (number of columns): canonilization, projection, etc. continue working in that case. To great extent this library uses the Stabilizer data structure simply as a tableau. This might be properly abstracted away in future versions.
See also: PauliOperator, canonicalize!
source
QuantumClifford.UnitaryPauliChannel — Type
A Pauli channel datastructure, mainly for use with StabMixture.
More convenient to use than PauliChannel when you know your Pauli channel is unitary.
julia> Tgate = UnitaryPauliChannel(
            (I, Z),
            ((1+exp(im*π/4))/2, (1-exp(im*π/4))/2)
        )
@@ -149,7 +149,7 @@
  0.853553+0.0im | + _ | + _
  0.0+0.353553im | + _ | + Z
  0.0-0.353553im | + Z | + _
- 0.146447+0.0im | + Z | + Z
source
QuantumClifford.VerifyOp — Type
A "probe" to verify that the state of the qubits corresponds to a desired good_state, e.g. at the end of the execution of a circuit.
source
QuantumClifford.sMRZ — Type
Measure a qubit in the Z basis and reset to the |0⟩ state.
It does not trace out the qubit!
As described below there is a difference between measuring the qubit (followed by setting it to a given known state) and "tracing out" the qubit. By reset here we mean "measuring and setting to a known state", not "tracing out".
julia> s = MixedDestabilizer(S"XXX ZZI IZZ") # |000⟩+|111⟩
+ 0.146447+0.0im | + Z | + Z
source
QuantumClifford.VerifyOp — Type
A "probe" to verify that the state of the qubits corresponds to a desired good_state, e.g. at the end of the execution of a circuit.
source
QuantumClifford.sMRZ — Type
Measure a qubit in the Z basis and reset to the |0⟩ state.
It does not trace out the qubit!
As described below there is a difference between measuring the qubit (followed by setting it to a given known state) and "tracing out" the qubit. By reset here we mean "measuring and setting to a known state", not "tracing out".
julia> s = MixedDestabilizer(S"XXX ZZI IZZ") # |000⟩+|111⟩
 𝒟ℯ𝓈𝓉𝒶𝒷
 + Z__
 + _X_
@@ -199,7 +199,7 @@
 𝒮𝓉𝒶𝒷━
 + Z__
 - ZZ_
-- Z_Z
See also: Reset, sMZ
source
QuantumClifford.PauliError — Function
A convenient constructor for various types of Pauli errors, that can be used as circuit gates in simulations. Returns more specific types when necessary.
source
QuantumClifford.applybranches — Function
Compute all possible new states after the application of the given operator. Reports the probability of each one of them. Deterministic (as it reports all branches of potentially random processes), part of the Perturbative Expansion interface.
source
QuantumClifford.applynoise! — Function
A method modifying a given state by applying the corresponding noise model. It is non-deterministic, part of the Noise interface.
source
QuantumClifford.PauliError — Function
A convenient constructor for various types of Pauli errors, that can be used as circuit gates in simulations. Returns more specific types when necessary.
source
QuantumClifford.applybranches — Function
Compute all possible new states after the application of the given operator. Reports the probability of each one of them. Deterministic (as it reports all branches of potentially random processes), part of the Perturbative Expansion interface.
source
QuantumClifford.applynoise! — Function
A method modifying a given state by applying the corresponding noise model. It is non-deterministic, part of the Noise interface.
source
QuantumClifford.bell — Function
Prepare one or more Bell pairs (with optional phases).
julia> bell()
 + XX
 + ZZ
 
@@ -217,11 +217,11 @@
 - XX__
 + ZZ__
 - __XX
-- __ZZ
source
QuantumClifford.bigram — Method
bigram(
     state::QuantumClifford.AbstractStabilizer;
     clip
 ) -> Matrix{Int64}
-
Get the bigram of a tableau.
It is the list of endpoints of a tableau in the clipped gauge.
If clip=true (the default) the tableau is converted to the clipped gauge in-place before calculating the bigram. Otherwise, the clip gauge conversion is skipped (for cases where the input is already known to be in the correct gauge).
Introduced in (Nahum et al., 2017), with a more detailed explanation of the algorithm in (Li et al., 2019) and (Gullans et al., 2020).
See also: canonicalize_clip!
source
QuantumClifford.canonicalize! — Method
canonicalize!(
+
Get the bigram of a tableau.
It is the list of endpoints of a tableau in the clipped gauge.
If clip=true (the default) the tableau is converted to the clipped gauge in-place before calculating the bigram. Otherwise, the clip gauge conversion is skipped (for cases where the input is already known to be in the correct gauge).
Introduced in (Nahum et al., 2017), with a more detailed explanation of the algorithm in (Li et al., 2019) and (Gullans et al., 2020).
See also: canonicalize_clip!
source
QuantumClifford.canonicalize_clip! — Method
canonicalize_clip!(
     state::QuantumClifford.AbstractStabilizer;
     phases
 ) -> QuantumClifford.AbstractStabilizer
@@ -294,25 +294,25 @@
 + _XZX__
 - _ZYX_Z
 - __YZ_X
-- ____Z_
If phases=false is set, the canonicalization does not track the phases in the tableau, leading to a significant speedup.
Introduced in (Nahum et al., 2017), with a more detailed explanation of the algorithm in Appendix A of (Li et al., 2019)
See also: canonicalize!, canonicalize_rref!, canonicalize_gott!.
source
QuantumClifford.canonicalize_gott! — Method
Inplace Gottesman canonicalization of a tableau.
This uses different canonical form from canonicalize!. It is used in the computation of the logical X and Z operators of a MixedDestabilizer.
It returns the (in place) modified state, the indices of the last pivot of both Gaussian elimination steps, and the permutations that have been used to put the X and Z tableaux in standard form.
Based on (Gottesman, 1997).
See also: canonicalize!, canonicalize_rref!
source
QuantumClifford.canonicalize_gott! — Method
Inplace Gottesman canonicalization of a tableau.
This uses different canonical form from canonicalize!. It is used in the computation of the logical X and Z operators of a MixedDestabilizer.
It returns the (in place) modified state, the indices of the last pivot of both Gaussian elimination steps, and the permutations that have been used to put the X and Z tableaux in standard form.
Based on (Gottesman, 1997).
See also: canonicalize!, canonicalize_rref!
source
QuantumClifford.canonicalize_rref! — Method
canonicalize_rref!(
     state::QuantumClifford.AbstractStabilizer,
     colindices;
     phases
 ) -> Tuple{QuantumClifford.AbstractStabilizer, Any}
-
Canonicalize a stabilizer (in place) along only some columns.
This uses different canonical form from canonicalize!. It also indexes in reverse in order to make its use in traceout! more efficient. Its use in traceout! is its main application.
It returns the (in place) modified state and the index of the last pivot.
Based on (Audenaert and Plenio, 2005).
See also: canonicalize!, canonicalize_gott!
source
QuantumClifford.comm — Function
Check whether two operators commute.
0x0 if they commute, 0x1 if they anticommute.
julia> P"XX"*P"ZZ", P"ZZ"*P"XX"
+
source
QuantumClifford.comm — Function
Check whether two operators commute.
0x0 if they commute, 0x1 if they anticommute.
julia> P"XX"*P"ZZ", P"ZZ"*P"XX"
 (- YY, - YY)
 
 julia> comm(P"ZZ", P"XX")
 0x00
 
 julia> comm(P"IZ", P"XX")
-0x01
See also: comm!
source
QuantumClifford.compactify_circuit — Method
Convert a list of gates to a more optimized "sum type" format which permits faster dispatch.
Generally, this should be called on a circuit before it is used in a simulation.
source
QuantumClifford.fastcolumn — Function
Convert a tableau to a memory layout that is fast for column operations.
In this layout a column of the tableau is stored (mostly) contiguously in memory. Due to bitpacking, e.g., packing 64 bits into a single UInt64, the memory layout is not perfectly contiguous, but it is still optimal given that some bitwrangling is required to extract a given bit.
See also: fastrow
source
QuantumClifford.fastrow — Function
Convert a tableau to a memory layout that is fast for row operations.
In this layout a Pauli string (a row of the tableau) is stored contiguously in memory.
See also: fastrow
source
QuantumClifford.generate! — Method
Generate a Pauli operator by using operators from a given the Stabilizer.
It assumes the stabilizer is already canonicalized. It modifies the Pauli operator in place, generating it in reverse, up to a phase. That phase is left in the modified operator, which should be the identity up to a phase. Returns the new operator and the list of indices denoting the elements of stabilizer that were used for the generation.
julia> ghz = S"XXXX
+0x01
See also: comm!
source
QuantumClifford.compactify_circuit — Method
Convert a list of gates to a more optimized "sum type" format which permits faster dispatch.
Generally, this should be called on a circuit before it is used in a simulation.
source
QuantumClifford.fastcolumn — Function
Convert a tableau to a memory layout that is fast for column operations.
In this layout a column of the tableau is stored (mostly) contiguously in memory. Due to bitpacking, e.g., packing 64 bits into a single UInt64, the memory layout is not perfectly contiguous, but it is still optimal given that some bitwrangling is required to extract a given bit.
See also: fastrow
source
QuantumClifford.fastrow — Function
Convert a tableau to a memory layout that is fast for row operations.
In this layout a Pauli string (a row of the tableau) is stored contiguously in memory.
See also: fastrow
source
QuantumClifford.generate! — Method
Generate a Pauli operator by using operators from a given the Stabilizer.
It assumes the stabilizer is already canonicalized. It modifies the Pauli operator in place, generating it in reverse, up to a phase. That phase is left in the modified operator, which should be the identity up to a phase. Returns the new operator and the list of indices denoting the elements of stabilizer that were used for the generation.
julia> ghz = S"XXXX
                ZZII
                IZZI
                IIZZ";
@@ -329,7 +329,7 @@
 true
 
 julia> generate!(P"XII",canonicalize!(S"XII")) === nothing
-false
source
QuantumClifford.ghz — Function
Prepare a GHZ state of n qubits.
julia> ghz()
 + XXX
 + ZZ_
 + _ZZ
@@ -342,7 +342,7 @@
 + XXXX
 + ZZ__
 + _ZZ_
-+ __ZZ
source
QuantumClifford.graphstate — Method
Convert any stabilizer state to a graph state
Graph states are a special type of entangled stabilizer states that can be represented by a graph. For a graph $G=(V,E)$ the corresponding stabilizers are $S_v = X_v \prod_{u ∈ N(v)} Z_u$. Notice that such tableau rows contain only a single X operator. There is a set of single qubit gates that converts any stabilizer state to a graph state.
This function returns the graph state corresponding to a stabilizer and the gates that might be necessary to convert the stabilizer into a state representable as a graph.
For a tableau stab you can convert it with:
graph, hadamard_idx, iphase_idx, flips_idx = graphstate()
where graph is the graph representation of stab, and the rest specifies the single-qubit gates converting stab to graph: hadamard_idx are the qubits that require a Hadamard gate (mapping X ↔ Z), iphase_idx are (different) qubits that require an inverse Phase gate (Y → X), and flips_idx are the qubits that require a phase flip (Pauli Z gate), after the previous two sets of gates.
julia> using Graphs
+true
See also: graph_gatesequence
source
QuantumClifford.graphstate — Method
Convert any stabilizer state to a graph state
Graph states are a special type of entangled stabilizer states that can be represented by a graph. For a graph $G=(V,E)$ the corresponding stabilizers are $S_v = X_v \prod_{u ∈ N(v)} Z_u$. Notice that such tableau rows contain only a single X operator. There is a set of single qubit gates that converts any stabilizer state to a graph state.
This function returns the graph state corresponding to a stabilizer and the gates that might be necessary to convert the stabilizer into a state representable as a graph.
For a tableau stab you can convert it with:
graph, hadamard_idx, iphase_idx, flips_idx = graphstate()
where graph is the graph representation of stab, and the rest specifies the single-qubit gates converting stab to graph: hadamard_idx are the qubits that require a Hadamard gate (mapping X ↔ Z), iphase_idx are (different) qubits that require an inverse Phase gate (Y → X), and flips_idx are the qubits that require a phase flip (Pauli Z gate), after the previous two sets of gates.
julia> using Graphs
 
 julia> s = S" XXX
               ZZ_
@@ -406,32 +406,32 @@
 1-element Vector{Int64}:
  3
The Graphs.jl library provides many graph-theory tools and the MakieGraphs.jl library provides plotting utilities for graphs.
You can directly call the graph constructor on a stabilizer, if you just want the graph and do not care about the Clifford operation necessary to convert an arbitrary state to a state representable as a graph:
julia> collect(edges( Graph(bell()) ))
 1-element Vector{Graphs.SimpleGraphs.SimpleEdge{Int64}}:
- Edge 1 => 2
For a version that does not copy the stabilizer, but rather performs transformations in-place, use graphstate!. It would perform canonicalize_gott! on its argument as it finds a way to convert it to a graph state.
source
QuantumClifford.logdot — Method
Logarithm of the inner product between to Stabilizer states.
If the result is nothing, the dot inner product is zero. Otherwise the inner product is 2^(-logdot/2).
The actual inner product can be computed with LinearAlgebra.dot.
Based on (Garcia et al., 2012).
source
QuantumClifford.pfmeasurements — Method
pfmeasurements(frame::PauliFrame) -> Any
-
Returns the measurement results for each frame in the PauliFrame instance.
Relative measurements
The return measurements are relative to the reference measurements, i.e. they only say whether the reference measurements have been flipped in the given frame.
source
QuantumClifford.pfmeasurements — Method
pfmeasurements(register::Register, frame::PauliFrame) -> Any
-
Takes the references measurements from the given Register and applies the flips as prescribed by the PauliFrame relative measurements. The result is the actual (non-relative) measurement results for each frame.
source
QuantumClifford.pftrajectories — Method
pftrajectories(
+ Edge 1 => 2
For a version that does not copy the stabilizer, but rather performs transformations in-place, use graphstate!. It would perform canonicalize_gott! on its argument as it finds a way to convert it to a graph state.
source
QuantumClifford.logdot — Method
Logarithm of the inner product between to Stabilizer states.
If the result is nothing, the dot inner product is zero. Otherwise the inner product is 2^(-logdot/2).
The actual inner product can be computed with LinearAlgebra.dot.
Based on (Garcia et al., 2012).
source
QuantumClifford.pfmeasurements — Method
pfmeasurements(frame::PauliFrame) -> Any
+
Returns the measurement results for each frame in the PauliFrame instance.
Relative measurements
The return measurements are relative to the reference measurements, i.e. they only say whether the reference measurements have been flipped in the given frame.
source
QuantumClifford.pfmeasurements — Method
pfmeasurements(register::Register, frame::PauliFrame) -> Any
+
Takes the references measurements from the given Register and applies the flips as prescribed by the PauliFrame relative measurements. The result is the actual (non-relative) measurement results for each frame.
source
QuantumClifford.pftrajectories — Method
pftrajectories(
     circuit;
     trajectories,
     threads
 ) -> PauliFrame{Stabilizer{QuantumClifford.Tableau{Vector{UInt8}, LinearAlgebra.Adjoint{UInt64, Matrix{UInt64}}}}, Matrix{Bool}}
-
The main method for running Pauli frame simulations of circuits. See the other methods for lower level access.
Multithreading is enabled by default, but can be disabled by setting threads=false. Do not forget to launch Julia with multiple threads enabled, e.g. julia -t4, if you want to use multithreading.
See also: mctrajectories, petrajectories
source
QuantumClifford.pftrajectories — Method
pftrajectories(
+
The main method for running Pauli frame simulations of circuits. See the other methods for lower level access.
Multithreading is enabled by default, but can be disabled by setting threads=false. Do not forget to launch Julia with multiple threads enabled, e.g. julia -t4, if you want to use multithreading.
See also: mctrajectories, petrajectories
source
QuantumClifford.pftrajectories — Method
pftrajectories(
     register::Register,
     circuit;
     trajectories
 ) -> Tuple{Register, PauliFrame{Stabilizer{QuantumClifford.Tableau{Vector{UInt8}, LinearAlgebra.Adjoint{UInt64, Matrix{UInt64}}}}, Matrix{Bool}}}
-
For a given Register and circuit, simulates the reference circuit acting on the register and then also simulate numerous PauliFrame trajectories. Returns the register and the PauliFrame instance.
Use pfmeasurements to get the measurement results.
source
QuantumClifford.phases — Method
The phases of a given tableau. It is a view, i.e. if you modify this array, the original tableau caries these changes.
source
QuantumClifford.prodphase — Method
Get the phase of the product of two Pauli operators.
Phase is encoded as F(4) in the low qubits of an UInt8.
julia> P"ZZZ"*P"XXX"
+
For a given Register and circuit, simulates the reference circuit acting on the register and then also simulate numerous PauliFrame trajectories. Returns the register and the PauliFrame instance.
Use pfmeasurements to get the measurement results.
source
QuantumClifford.phases — Method
The phases of a given tableau. It is a view, i.e. if you modify this array, the original tableau caries these changes.
source
QuantumClifford.prodphase — Method
Get the phase of the product of two Pauli operators.
Phase is encoded as F(4) in the low qubits of an UInt8.
julia> P"ZZZ"*P"XXX"
 -iYYY
 
 julia> prodphase(P"ZZZ", P"XXX")
 0x03
 
 julia> prodphase(P"XXX", P"ZZZ")
-0x01
source
QuantumClifford.random_pauli — Function
A random Pauli operator on n qubits.
Use nophase=false to randomize the phase. Use realphase=false to get operators with phases including ±i.
Optionally, a "flip" probability p can be provided specified, in which case each bit is set to I with probability 1-p and to X or Y or Z with probability p. Useful for simulating unbiased Pauli noise.
See also random_pauli!
source
QuantumClifford.stabilizerplot — Function
A Makie.jl recipe for pictorial representation of a tableau.
Requires a Makie.jl backend to be loaded, e.g. using CairoMakie.
Alternatively, you can use the Plots.jl plotting ecosystem, e.g. using Plots; plot(S"XXX ZZZ").
Consult the documentation for more details on visualization options.
source
QuantumClifford.stabilizerplot_axis — Function
A Makie.jl recipe for pictorial representation of a tableau.
Requires a Makie.jl backend to be loaded, e.g. using CairoMakie.
Alternatively, you can use the Plots.jl plotting ecosystem, e.g. using Plots; plot(S"XXX ZZZ").
Consult the documentation for more details on visualization options.
source
QuantumClifford.random_pauli — Function
A random Pauli operator on n qubits.
Use nophase=false to randomize the phase. Use realphase=false to get operators with phases including ±i.
Optionally, a "flip" probability p can be provided specified, in which case each bit is set to I with probability 1-p and to X or Y or Z with probability p. Useful for simulating unbiased Pauli noise.
See also random_pauli!
source
QuantumClifford.stabilizerplot — Function
A Makie.jl recipe for pictorial representation of a tableau.
Requires a Makie.jl backend to be loaded, e.g. using CairoMakie.
Alternatively, you can use the Plots.jl plotting ecosystem, e.g. using Plots; plot(S"XXX ZZZ").
Consult the documentation for more details on visualization options.
source
QuantumClifford.stabilizerplot_axis — Function
A Makie.jl recipe for pictorial representation of a tableau.
Requires a Makie.jl backend to be loaded, e.g. using CairoMakie.
Alternatively, you can use the Plots.jl plotting ecosystem, e.g. using Plots; plot(S"XXX ZZZ").
Consult the documentation for more details on visualization options.
source
QuantumClifford.xbit — Method
Extract as a new bit array the X part of the UInt array of packed qubits of a given Pauli operator.
source
QuantumClifford.zbit — Method
Extract as a new bit array the Z part of the UInt array of packed qubits of a given Pauli operator.
source
QuantumInterface.apply! — Function
In QuantumClifford the apply! function is used to apply any quantum operation to a stabilizer state, including unitary Clifford operations, Pauli measurements, and noise. Thus, this function may result in a random/stochastic result (e.g. with measurements or noise).
source
QuantumClifford.xbit — Method
Extract as a new bit array the X part of the UInt array of packed qubits of a given Pauli operator.
source
QuantumClifford.zbit — Method
Extract as a new bit array the Z part of the UInt array of packed qubits of a given Pauli operator.
source
QuantumInterface.apply! — Function
In QuantumClifford the apply! function is used to apply any quantum operation to a stabilizer state, including unitary Clifford operations, Pauli measurements, and noise. Thus, this function may result in a random/stochastic result (e.g. with measurements or noise).
source
QuantumInterface.embed — Method
Embed a Pauli operator in a larger Pauli operator.
julia> embed(5, 3, P"-Y")
 - __Y__
 
 julia> embed(5, (3,5), P"-YX")
-- __Y_X
source
QuantumInterface.entanglement_entropy — Function
Get bipartite entanglement entropy of a subsystem
Defined as entropy of the reduced density matrix.
It can be calculated with multiple different algorithms, the most performant one depending on the particular case.
Currently implemented are the :clip (clipped gauge), :graph (graph state), and :rref (Gaussian elimination) algorithms. Benchmark your particular case to choose the best one.
source
QuantumInterface.entanglement_entropy — Method
Get bipartite entanglement entropy by first converting the state to a graph and computing the rank of the adjacency matrix.
Based on "Entanglement in graph states and its applications".
source
QuantumInterface.expect — Method
expect(p::PauliOperator, st::AbstractStabilizer)
Compute the expectation value of a Pauli operator p on a stabilizer state st. This function will allocate a temporary copy of the stabilizer state st.
source
QuantumInterface.entanglement_entropy — Function
Get bipartite entanglement entropy of a subsystem
Defined as entropy of the reduced density matrix.
It can be calculated with multiple different algorithms, the most performant one depending on the particular case.
Currently implemented are the :clip (clipped gauge), :graph (graph state), and :rref (Gaussian elimination) algorithms. Benchmark your particular case to choose the best one.
source
QuantumInterface.entanglement_entropy — Method
Get bipartite entanglement entropy by first converting the state to a graph and computing the rank of the adjacency matrix.
Based on "Entanglement in graph states and its applications".
source
QuantumInterface.expect — Method
expect(p::PauliOperator, st::AbstractStabilizer)
Compute the expectation value of a Pauli operator p on a stabilizer state st. This function will allocate a temporary copy of the stabilizer state st.
source
QuantumInterface.project! — Method
project!(
     state::MixedStabilizer,
     pauli::PauliOperator;
     phases
@@ -556,47 +556,47 @@
 julia> project!(ms, P"IIY")[1]
 + X__
 + _Z_
-+ __Y
Similarly to project! on Stabilizer, this function has cubic complexity when the Pauli operator commutes with all rows of the tableau. Most of the time it is better to simply use MixedDestabilizer representation.
Unlike other project! methods, this one does not allow for keep_result=false, as the correct rank or anticommutation index can not be calculated without the expensive (cubic) canonicalization operation required by keep_result=true.
See the "Datastructure Choice" section in the documentation for more details.
See also: projectX!, projectY!, projectZ!.
source
QuantumInterface.reset_qubits! — Method
reset_qubits!(
++ __Y
Similarly to project! on Stabilizer, this function has cubic complexity when the Pauli operator commutes with all rows of the tableau. Most of the time it is better to simply use MixedDestabilizer representation.
Unlike other project! methods, this one does not allow for keep_result=false, as the correct rank or anticommutation index can not be calculated without the expensive (cubic) canonicalization operation required by keep_result=true.
See the "Datastructure Choice" section in the documentation for more details.
See also: projectX!, projectY!, projectZ!.
source
QuantumInterface.reset_qubits! — Method
reset_qubits!(
     s::Stabilizer,
     newstate,
     qubits;
     phases
 ) -> Any
-
Reset a given set of qubits to be in the state newstate. These qubits are traced out first, which could lead to "nonlocal" changes in the tableau.
source
QuantumInterface.traceout! — Method
traceout!(
+
Reset a given set of qubits to be in the state newstate. These qubits are traced out first, which could lead to "nonlocal" changes in the tableau.
source
Private API
Private Implementation Details
These functions are used internally by the library and might be drastically modified or deleted without warning or deprecation.
QuantumClifford.Tableau — Type
Internal Tableau type for storing a list of Pauli operators in a compact form. No special semantic meaning is attached to this type, it is just a convenient way to store a list of Pauli operators. E.g. it is not used to represent a stabilizer state, or a stabilizer group, or a Clifford circuit.
source
Private API
Private Implementation Details
These functions are used internally by the library and might be drastically modified or deleted without warning or deprecation.
QuantumClifford.Tableau — Type
Internal Tableau type for storing a list of Pauli operators in a compact form. No special semantic meaning is attached to this type, it is just a convenient way to store a list of Pauli operators. E.g. it is not used to represent a stabilizer state, or a stabilizer group, or a Clifford circuit.
source
Base.inv — Method
inv(
     c::CliffordOperator;
     phases
 ) -> CliffordOperator{QuantumClifford.Tableau{Vector{UInt8}, Matrix{UInt64}}}
-
Inverse of a CliffordOperator
source
QuantumClifford._remove_rowcol! — Method
Unexported low-level function that removes a row (by shifting all rows up as necessary)
Because MixedDestabilizer is not mutable we return a new MixedDestabilizer with the same (modified) xzs array.
Used on its own, this function will break invariants. Meant to be used with projectremove!.
source
QuantumClifford._rowmove! — Method
Unexported low-level function that moves row i to row j.
Used on its own, this function will break invariants. Meant to be used in _remove_rowcol!.
source
QuantumClifford.applynoise_branches — Function
Compute all possible new states after the application of the given noise model. Reports the probability of each one of them. Deterministic (as it reports all branches of potentially random processes), part of the Noise interface.
source
QuantumClifford.initZ! — Method
initZ!(frame::PauliFrame) -> PauliFrame
-
Inject random Z errors over all frames and qubits for the supplied PauliFrame with probability 0.5.
Calling this after initialization is essential for simulating any non-deterministic circuit. It is done automatically by most PauliFrame constructors.
source
QuantumClifford._remove_rowcol! — Method
Unexported low-level function that removes a row (by shifting all rows up as necessary)
Because MixedDestabilizer is not mutable we return a new MixedDestabilizer with the same (modified) xzs array.
Used on its own, this function will break invariants. Meant to be used with projectremove!.
source
QuantumClifford._rowmove! — Method
Unexported low-level function that moves row i to row j.
Used on its own, this function will break invariants. Meant to be used in _remove_rowcol!.
source
QuantumClifford.applynoise_branches — Function
Compute all possible new states after the application of the given noise model. Reports the probability of each one of them. Deterministic (as it reports all branches of potentially random processes), part of the Noise interface.
source
QuantumClifford.initZ! — Method
initZ!(frame::PauliFrame) -> PauliFrame
+
Inject random Z errors over all frames and qubits for the supplied PauliFrame with probability 0.5.
Calling this after initialization is essential for simulating any non-deterministic circuit. It is done automatically by most PauliFrame constructors.
source
QuantumClifford.make_sumtype_method — Function
``` julia> makesumtypemethod([sCNOT], :apply!, (:s,)) quote     function QuantumClifford.apply!(s, g::CompactifiedGate)         @cases g begin             sCNOT(q1, q2) => apply!(s, sCNOT(q1, q2))         end     end end
source
QuantumClifford.make_sumtype_method — Function
``` julia> makesumtypemethod([sCNOT], :apply!, (:s,)) quote     function QuantumClifford.apply!(s, g::CompactifiedGate)         @cases g begin             sCNOT(q1, q2) => apply!(s, sCNOT(q1, q2))         end     end end
source
QuantumClifford.projectremoverand! — Method
Unexported low-level function that projects a qubit and returns the result while making the tableau smaller by a qubit.
Because MixedDestabilizer is not mutable we return a new MixedDestabilizer with the same (modified) xzs array.
source
QuantumClifford.remove_column! — Method
Unexported low-level function that removes a column (by shifting all columns to the right of the target by one step to the left)
Because Tableau is not mutable we return a new Tableau with the same (modified) xzs array.
source
QuantumClifford.rowdecompose — Method
Decompose a Pauli $P$ in terms of stabilizer and destabilizer rows from a given tableaux.
For given tableaux of rows destabilizer rows $\{d_i\}$ and stabilizer rows $\{s_i\}$, there are boolean vectors $b$ and $c$ such that $P = i^p \prod_i d_i^{b_i} \prod_i s_i^{c_i}$.
This function returns p, b, c.
julia> s = MixedDestabilizer(ghz(2))
+end)
source
QuantumClifford.projectremoverand! — Method
Unexported low-level function that projects a qubit and returns the result while making the tableau smaller by a qubit.
Because MixedDestabilizer is not mutable we return a new MixedDestabilizer with the same (modified) xzs array.
source
QuantumClifford.remove_column! — Method
Unexported low-level function that removes a column (by shifting all columns to the right of the target by one step to the left)
Because Tableau is not mutable we return a new Tableau with the same (modified) xzs array.
source
QuantumClifford.rowdecompose — Method
Decompose a Pauli $P$ in terms of stabilizer and destabilizer rows from a given tableaux.
For given tableaux of rows destabilizer rows $\{d_i\}$ and stabilizer rows $\{s_i\}$, there are boolean vectors $b$ and $c$ such that $P = i^p \prod_i d_i^{b_i} \prod_i s_i^{c_i}$.
This function returns p, b, c.
julia> s = MixedDestabilizer(ghz(2))
 𝒟ℯ𝓈𝓉𝒶𝒷
 + Z_
 + _X
@@ -608,7 +608,7 @@
 (3, Bool[1, 0], Bool[1, 1])
 
 julia> im^3 * P"Z_" * P"XX" * P"ZZ"
-+ XY
source
QuantumClifford.to_cpu — Function
copies the memory content of the object to CPU
You can only use this function if CUDA.jl is imported
For more advanced users to_cpu(data, element_type) will reinterpret elements of data and converts them to element_type. For example based on your CPU architecture, if working with matrices of UInt32 is faster than UInt64, you can use to_cpu(data, UInt32)
julia> using QuantumClifford: to_cpu, to_gpu
++ XY
source
QuantumClifford.to_cpu — Function
copies the memory content of the object to CPU
You can only use this function if CUDA.jl is imported
For more advanced users to_cpu(data, element_type) will reinterpret elements of data and converts them to element_type. For example based on your CPU architecture, if working with matrices of UInt32 is faster than UInt64, you can use to_cpu(data, UInt32)
julia> using QuantumClifford: to_cpu, to_gpu
 
 julia> using CUDA # without this import, to_cpu, to_gpu are just function
 
@@ -631,7 +631,7 @@
 julia> pf_gpu = to_gpu(PauliFrame(1000, 2, 2));
 julia> circuit = [sMZ(1, 1), sHadamard(2), sMZ(2, 2)];
 julia> pftrajectories(pf_gpu, circuit);
-julia> measurements = to_cpu(pf_gpu.measurements);
See also: to_gpu
source
QuantumClifford.to_gpu — Function
copies the memory content of the object to GPU
You can only use this function if CUDA.jl is imported
For more advanced users to_gpu(data, element_type) will reinterpret elements of data and converts them to element_type. For example based on your GPU architecture, if working with matrices of UInt64 is faster than UInt32, you can use to_gpu(data, UInt64)
julia> using QuantumClifford: to_cpu, to_gpu
+julia> measurements = to_cpu(pf_gpu.measurements);
See also: to_gpu
source
QuantumClifford.to_gpu — Function
copies the memory content of the object to GPU
You can only use this function if CUDA.jl is imported
For more advanced users to_gpu(data, element_type) will reinterpret elements of data and converts them to element_type. For example based on your GPU architecture, if working with matrices of UInt64 is faster than UInt32, you can use to_gpu(data, UInt64)
julia> using QuantumClifford: to_cpu, to_gpu
 
 julia> using CUDA # without this import, to_cpu, to_gpu are just function
 
@@ -654,4 +654,4 @@
 julia> pf_gpu = to_gpu(PauliFrame(1000, 2, 2));
 julia> circuit = [sMZ(1, 1), sHadamard(2), sMZ(2, 2)];
 julia> pftrajectories(pf_gpu, circuit);
-julia> measurements = to_cpu(pf_gpu.measurements);
See also: to_cpu
source
+julia> measurements = to_cpu(pf_gpu.measurements);

See also: to_cpu

source
QuantumClifford.trusted_rank — Function

A "trusted" rank which returns rank(state) for Mixed[De]Stabilizer and length(state) for [De]Stabilizer.

source
QuantumClifford.zero! — Method

Zero-out a given row of a Tableau

source
QuantumClifford.zero! — Method

Zero-out the phases and single-qubit operators in a PauliOperator

source
QuantumClifford.@qubitop1 — Macro

Macro used to define single qubit symbolic gates and their qubit_kernel methods.

source
QuantumClifford.@qubitop2 — Macro

Macro used to define 2-qubit symbolic gates and their qubit_kernel methods.

source
QuantumClifford.@valbooldispatch — Macro

Turns f(Val(x)) into x ? f(Val(true)) : f(Val(false)) in order to avoid dynamic dispatch

See discourse discussion

source
diff --git a/dev/ECC_API/index.html b/dev/ECC_API/index.html index 933ebca75..0ee0e59cc 100644 --- a/dev/ECC_API/index.html +++ b/dev/ECC_API/index.html @@ -2,7 +2,7 @@ API · QuantumClifford.jl
GitHub

Full ECC API (autogenerated)

QuantumClifford.ECC.CSS — Type

An arbitrary CSS error correcting code defined by its X and Z checks.

julia> CSS([0 1 1 0; 1 1 0 0], [1 1 1 1]) |> parity_checks
 + _XX_
 + XX__
-+ ZZZZ
source
QuantumClifford.ECC.ShorSyndromeECCSetup — Type

Configuration for ECC evaluators that simulate the Shor-style syndrome measurement (without a flag qubit).

The simulated circuit includes:

  • perfect noiseless encoding (encoding and its fault tolerance are not being studied here)
  • one round of "memory noise" after the encoding but before the syndrome measurement
  • perfect preparation of entangled ancillary qubits
  • noisy Shor-style syndrome measurement (only two-qubit gate noise)
  • noiseless "logical state measurement" (providing the comparison data when evaluating the decoder)

See also: CommutationCheckECCSetup, NaiveSyndromeECCSetup

source
QuantumClifford.ECC.Surface — Type

The planar surface code refers to the code (Kitaev, undated) in a 2D lattice with open boundaries.

Illustration of a 3×2 surface code, where qubits are located on the edges:

|---1--(Z)--2---|---3---|
++ ZZZZ
source
QuantumClifford.ECC.ShorSyndromeECCSetup — Type

Configuration for ECC evaluators that simulate the Shor-style syndrome measurement (without a flag qubit).

The simulated circuit includes:

  • perfect noiseless encoding (encoding and its fault tolerance are not being studied here)
  • one round of "memory noise" after the encoding but before the syndrome measurement
  • perfect preparation of entangled ancillary qubits
  • noisy Shor-style syndrome measurement (only two-qubit gate noise)
  • noiseless "logical state measurement" (providing the comparison data when evaluating the decoder)

See also: CommutationCheckECCSetup, NaiveSyndromeECCSetup

source
QuantumClifford.ECC.Surface — Type

The planar surface code refers to the code (Kitaev, undated) in a 2D lattice with open boundaries.

Illustration of a 3×2 surface code, where qubits are located on the edges:

|---1--(Z)--2---|---3---|
 |  (X)  7       8       o
 |---4---|---5---|---6---|
 |       o       o       o
@@ -13,7 +13,7 @@
 + ZZ____Z_
 + _ZZ____Z
 + ___ZZ_Z_
-+ ____ZZ_Z

More information can be seen in (Fowler et al., undated).

source
QuantumClifford.ECC.TableDecoder — Type

A simple look-up table decoder for error correcting codes.

The lookup table contains only weight=1 errors, thus it is small, but at best it provides only for distance=3 decoding.

The size of the lookup table would grow exponentially quickly for higher distances.

source
QuantumClifford.ECC.TableDecoder — Type

A simple look-up table decoder for error correcting codes.

The lookup table contains only weight=1 errors, thus it is small, but at best it provides only for distance=3 decoding.

The size of the lookup table would grow exponentially quickly for higher distances.

source
QuantumClifford.ECC.Toric — Type

The Toric code (Kitaev, undated).

Illustration of a 2x2 toric code, where qubits are located on the edges:

|--1-(Z)-2--|
 | (X) 5     6
 |--3--|--4--|
 |     7     8
@@ -23,7 +23,7 @@
 + X_X___XX
 + ZZ__Z_Z_
 + ZZ___Z_Z
-+ __ZZZ_Z_
source
QuantumClifford.ECC.evaluate_decoder — Method

Evaluate the performance of an error-correcting circuit.

This method requires you give the circuit that performs both syndrome measurements and (probably noiseless) logical state measurements. The faults matrix that translates an error vector into corresponding logical errors is necessary as well.

This is a relatively barebones method that assumes the user prepares necessary circuits, etc. It is a method that is used internally by more user-frienly methods providing automatic conversion of codes and noise models to the necessary noisy circuits.

source
QuantumClifford.ECC.faults_matrix — Method

Error-to-logical-observable map (a.k.a. fault matrix) of a code.

For a code with n physical qubits and k logical qubits this function returns a 2k × 2n binary matrix O such that O[i,j] is true if the logical observable of index i is flipped by the single physical qubit error of index j. Indexing is such that:

  • O[1:k,:] is the error-to-logical-X-observable map (logical X observable, i.e. triggered by logical Z errors)
  • O[k+1:2k,:] is the error-to-logical-Z-observable map
  • O[:,1:n] is the X-physical-error-to-logical-observable map
  • O[n+1:2n,:] is the Z-physical-error-to-logical-observable map

E.g. for k=1, n=10, then if O[2,5] is true, then the logical Z observable is flipped by a X₅ error; and if O[1,12] is true, then the logical X observable is flipped by a Z₂ error.

Of note is that there is a lot of freedom in choosing the logical operations! A logical operator multiplied by a stabilizer operator is still a logical operator. Similarly there is a different fault matrix for each choice of logical operators. But once the logical operators are picked, the fault matrix is fixed.

Below we show an example that uses the Shor code. While it is not the smallest code, it is a convenient choice to showcase the importance of the fault matrix when dealing with degenerate codes where a correction operation and an error do not need to be the same.

First, consider a single-qubit error, potential correction operations, and their effect on the Shor code:

julia> using QuantumClifford.ECC: faults_matrix, Shor9
++ __ZZZ_Z_
source
QuantumClifford.ECC.evaluate_decoder — Method

Evaluate the performance of an error-correcting circuit.

This method requires you give the circuit that performs both syndrome measurements and (probably noiseless) logical state measurements. The faults matrix that translates an error vector into corresponding logical errors is necessary as well.

This is a relatively barebones method that assumes the user prepares necessary circuits, etc. It is a method that is used internally by more user-frienly methods providing automatic conversion of codes and noise models to the necessary noisy circuits.

source
QuantumClifford.ECC.faults_matrix — Method

Error-to-logical-observable map (a.k.a. fault matrix) of a code.

For a code with n physical qubits and k logical qubits this function returns a 2k × 2n binary matrix O such that O[i,j] is true if the logical observable of index i is flipped by the single physical qubit error of index j. Indexing is such that:

  • O[1:k,:] is the error-to-logical-X-observable map (logical X observable, i.e. triggered by logical Z errors)
  • O[k+1:2k,:] is the error-to-logical-Z-observable map
  • O[:,1:n] is the X-physical-error-to-logical-observable map
  • O[n+1:2n,:] is the Z-physical-error-to-logical-observable map

E.g. for k=1, n=10, then if O[2,5] is true, then the logical Z observable is flipped by a X₅ error; and if O[1,12] is true, then the logical X observable is flipped by a Z₂ error.

Of note is that there is a lot of freedom in choosing the logical operations! A logical operator multiplied by a stabilizer operator is still a logical operator. Similarly there is a different fault matrix for each choice of logical operators. But once the logical operators are picked, the fault matrix is fixed.

Below we show an example that uses the Shor code. While it is not the smallest code, it is a convenient choice to showcase the importance of the fault matrix when dealing with degenerate codes where a correction operation and an error do not need to be the same.

First, consider a single-qubit error, potential correction operations, and their effect on the Shor code:

julia> using QuantumClifford.ECC: faults_matrix, Shor9
 
 julia> state = MixedDestabilizer(Shor9())
 𝒟ℯ𝓈𝓉𝒶𝒷━━━━━
@@ -146,7 +146,7 @@
 julia> O * stab_to_gf2(bad_Z₆Z₉)
 2-element Vector{Int64}:
  1
- 0

While its use in this situation is rather contrived, the fault matrix is incredibly useful when running large scale simulations in which we want a separate fast error sampling process, (e.g. with Pauli frames) and a syndrome decoding process, without coupling between them. We just gather all our syndrome measurement and logical observables from the Pauli frame simulations, and then use them with the fault matrix in the syndrome decoding simulation.

source
QuantumClifford.ECC.isdegenerate — Function

Check if the code is degenerate with respect to a given set of error or with respect to all "up to d physical-qubit" errors (defaulting to d=1).

julia> using QuantumClifford.ECC
+ 0

While its use in this situation is rather contrived, the fault matrix is incredibly useful when running large scale simulations in which we want a separate fast error sampling process, (e.g. with Pauli frames) and a syndrome decoding process, without coupling between them. We just gather all our syndrome measurement and logical observables from the Pauli frame simulations, and then use them with the fault matrix in the syndrome decoding simulation.

source
QuantumClifford.ECC.isdegenerate — Function

Check if the code is degenerate with respect to a given set of error or with respect to all "up to d physical-qubit" errors (defaulting to d=1).

julia> using QuantumClifford.ECC
 
 julia> isdegenerate(Shor9(), [single_z(9,1), single_z(9,2)])
 true
@@ -158,4 +158,4 @@
 false
 
 julia> isdegenerate(Steane7(), 2)
-true
source
QuantumClifford.ECC.naive_encoding_circuit — Method

Encoding physical qubits into a larger logical code.

The initial physical qubits to be encoded have to be at indices n-k+1:n.

Encoding circuits are not fault-tolerant

Encoding circuits are not fault-tolerant, and thus should not be used in practice. Instead, you should measure the stabilizers of the code and the logical observables, thus projecting into the code space (which can be fault-tolerant).

The canonicalization operation performed on the code may permute the qubits (see canonicalize_gott!). That permutation is corrected for with SWAP gates by default (controlled by the undoperm keyword argument).

Based on (Cleve and Gottesman, 1997) and (Gottesman, 1997), however it seems the published algorithm has some errors. Consult the erratum, as well as the more recent (Grassl, 2002) and (Grassl, 2011), and be aware that this implementation also uses H instead of Z gates.

source
QuantumClifford.ECC.naive_syndrome_circuit — Function

Generate the non-fault-tolerant stabilizer measurement cicuit for a given code instance or parity check tableau.

Use the ancillary_index and bit_index arguments to offset where the corresponding part the circuit starts.

Returns the circuit, the number of ancillary qubits that were added, and a list of bit indices that will store the measurement results.

See also: shor_syndrome_circuit

source
QuantumClifford.ECC.shor_syndrome_circuit — Function

Generate the Shor fault-tolerant stabilizer measurement cicuit for a given code instance or parity check tableau.

Use the ancillary_index and bit_index arguments to offset where the corresponding part the circuit starts. Ancillary qubits

Returns:

  • The ancillary cat state preparation circuit.
  • The Shor syndrome measurement circuit.
  • The number of ancillary qubits that were added.
  • The list of bit indices that store the final measurement results.

See also: naive_syndrome_circuit

source
+truesource
QuantumClifford.ECC.naive_encoding_circuit — Method

Encoding physical qubits into a larger logical code.

The initial physical qubits to be encoded have to be at indices n-k+1:n.

Encoding circuits are not fault-tolerant

Encoding circuits are not fault-tolerant, and thus should not be used in practice. Instead, you should measure the stabilizers of the code and the logical observables, thus projecting into the code space (which can be fault-tolerant).

The canonicalization operation performed on the code may permute the qubits (see canonicalize_gott!). That permutation is corrected for with SWAP gates by default (controlled by the undoperm keyword argument).

Based on (Cleve and Gottesman, 1997) and (Gottesman, 1997), however it seems the published algorithm has some errors. Consult the erratum, as well as the more recent (Grassl, 2002) and (Grassl, 2011), and be aware that this implementation also uses H instead of Z gates.

source
QuantumClifford.ECC.naive_syndrome_circuit — Function

Generate the non-fault-tolerant stabilizer measurement cicuit for a given code instance or parity check tableau.

Use the ancillary_index and bit_index arguments to offset where the corresponding part the circuit starts.

Returns the circuit, the number of ancillary qubits that were added, and a list of bit indices that will store the measurement results.

See also: shor_syndrome_circuit

source
QuantumClifford.ECC.parity_checks — Function

Parity check tableau of a code.

See also: parity_checks_x and parity_checks_z

source
QuantumClifford.ECC.parity_checks_x — Method

Parity check boolean matrix of a code (only the X entries in the tableau, i.e. the checks for Z errors).

Only CSS codes have this method.

See also: parity_checks

source
QuantumClifford.ECC.parity_checks_z — Method

Parity check boolean matrix of a code (only the Z entries in the tableau, i.e. the checks for X errors).

Only CSS codes have this method.

See also: parity_checks

source
QuantumClifford.ECC.rate — Method

The rate of a code.

source
QuantumClifford.ECC.shor_syndrome_circuit — Function

Generate the Shor fault-tolerant stabilizer measurement cicuit for a given code instance or parity check tableau.

Use the ancillary_index and bit_index arguments to offset where the corresponding part the circuit starts. Ancillary qubits

Returns:

  • The ancillary cat state preparation circuit.
  • The Shor syndrome measurement circuit.
  • The number of ancillary qubits that were added.
  • The list of bit indices that store the final measurement results.

See also: naive_syndrome_circuit

source
diff --git a/dev/ECC_evaluating/087130e3.png b/dev/ECC_evaluating/087130e3.png new file mode 100644 index 0000000000000000000000000000000000000000..0d8c017be527a7fff2caffa797ab7198af361f25 GIT binary patch literal 43042 zcmeFZ_dA#W|3Cap;#o3EA<8HelCqN>38BcyOp=w6ifo0n@Jh*Esq9ro$VfvdBQsfL zkI3F!x3kaZ`@?k{*Kr-!A8_@4AIIx{JU!0ye4LMQAGh1>ao#_xsY1JrbsLF9qE$Vu zq)j4G=8#C6{mB&gMV8(y6aS&Qq^_bw+93XyP@4RNMB*f=Dk+@56*J!D>bcAEch!`Y zgp5C>BE@b028vB50~sl_DVUU`?n}*}Br%#`nl(Ao#AOzj22?gfrLW!8=Rm!`&lyovXiDB{)U6A<{BWA3;5Rz3VkZf>r< zf!xg1_MF6wj5FTSKI^NWgWml)fBwAZboIgMzJ!E?ND(W;KbiLGr5`jSg6fCAkdWU# z!=5s)jhXn3=C-zU{iVgekgzT6KC9P^T2|LrCiT;D?b?nQ=_U!@7;Ub0*w9*~>`|NPy`P8(unkYxFso%;2nStB)T>4g6AUH?2GS_An z{pJB}Nz~i7k}8v?dYOhVJ^iiX+&;IqY%->?B5#s>6dD>jmQ^ybx-|2d>9o3f$wIe> z&*HB@ExEPx=>ws+B7{8`|EB9_Z{zCh>Z*^Eu^SsrxcN7qLjL*=;%bk{QvFz}1N-+s zfBrnr@J|2@GwydoD%N=Y6SLXJj~}JcU-2~Fy&sllhSb&70~lK0Q83yEW$z|MJ(MR` z9E*{5a~^BWoVJjVD7-n=`Ylez$W2^KY_8sCeFjrKAZO;YcGH8#pNosDrZ3B+q$7v- zh~@I^$fr-ArY$V=SvQk29jcEncb~Hjq}#Xuz=0Nt8+^95wpqqS`{m~6 z=4iKX-=%0==DF0KYq6P{ZoDz6D$k}#FUy$EpXKO9`OBAIbdTP=c{4IH64O36H&^OD zH~Qm^Rf)@=Gi@~q%gf6zUc49|ze-OZ^5x4H(^B`yvKs}@pYK0*Y-)O-*1^F6FZJOr zt(~yg%NH+VWIS5GeY0;!P@s}fw%D_04<8?&rKRQj_wUh!hD<(cmHF=7yX9r~rEB3w zOr)iy`>SYaX^V=ArY&&)BPPX%(swa4>z_aWCFF$5csquwxVU(F+PO$6y=8fEF=D1Q zXkcjQATMugbMtnVqX}B^vfoNMi?XsNet&w%e8l(=KmWF^Tes5C(9qMjS&Kf?{mgmY z(56=ZoKB$|m(uCe_ex4imIcUkbgg!p=s+mP+maFixyR@A^q6+Hg}Bj12U@p`qc|hd_bM;tSK$(^y#i0sU8tl zYkg0Xy_ZK0R)3M?!27TqyX3zdTDjxEsYfiw6tlv*6NGo~-aRu^@9MhIGnwp1MJwgh zEB|CJJS;4%^lv4Nf`Wp3W{S_o`ef-sT=6t-1pE2Vt9rKY`9D*IrKYEstS^s+B~QHV z3%+}oN;PzSHd&4@KyLM~-}1|+iPixOiHV77ODmJ*+3UgZnliWkUVQlxJE1P-IG(EE zz|&-w&aH~I9*-{iZrVI6dkfRKzT8&M#LS#-rr~%tvas7-z4QrI{ZyB0PfNP*h=OI= z;%}N#_01F%6zkLBI z^62B)Ju~=Chu$j9m2>uFZWkJIT)6YCCbVX#}B`&v9~GR(#i^p zx1)V*`#!0>*RQopS8)@&-x=z+ZY_3~ddzk2mz6bLFEXi*IA+moMcS4!r33m|#x}qEF*SX!-@Iw5)z{VSavO@J z5=iR)GAiGmk!htVw>{w)1sAF6znGW|Svn_I*YZCFKlQRry?%e(I%jTdF`6VgHx+1F z&F1(n(R6I8ibG#+Y-Hp|p`%%;*^eI284XLfx!Ygh;F_sbdFhlUN+xCJXil9v6}(5} zl|@ysnkp9P^vq0jrzBQV`0`Duo1@Jou8wn-K{QN<&ob53);5)pGK>lx+*N*cmALB1 zKY_D97f-cIk>!N#c|FzBr_Va}Hzuj{xcsyqrD<`WAGi72{BpmbpvDDBDJes~wrCco zuHu_DC-?)f^wW*oD@FVte5U0U7cZ!u9GLXkDCySQCu)5b8@yS_u1<^XGsXYT(suui z^@Z}VO7jnQO-kK$FO&t`KKrB2)YR1dr}2_z(6P1rb*$}C=Iz_Iv5H#%*Ij>-*wfRt zqw*=%p4C%<9NsAzmku+OVXutpzx{QW?UiP1S~oQ^AbU*Ktamg9Q-bC5Q+b1P=MvX_ z*Oup^k6(Yayi-R)LSjH|n`$U_c&034R*UV*+*oo}a(uj*p<&ePReHJA1aGsTQ%%WQ z9Hn+$jwOG@=TvU3FAdGv+T|QPM_qZvUZ!^0oJ6TeqU-DSn6&pC=H$>e_V|-e!+fN( z_@6`|YE=yu8Pbc&EMIf648yKY3E|euFyP_{2oDdJ`&+U3 zpZ|NB_ez%GF)ho{Ufk5=_2v8bYiYt*T2pnB;qGb!kTi~-;FjB1z1|c(fR$YH*kNV< zPhVf(z%+tKijXss)KFtttGc}}a}ZFgLO8-}7sh`i$wvMqHnd}+Z2tG6>q8tqt3;P- z!USr=h1yn{Yxs{HJErz4+{~MgSx;X-y{B|)>o%F1;~ZLA^`oP(>VGX8qO)=IiS0Y#wmGorCf2@meskv>X_y4R7gDcXG-ZsZkFVwQk^aGpDDg zU)rgs8ft52*TVKbrtiGp?S?yqI}Y0X3+^x3KMU?+EVj$moO72VB^8y!&w|W?f`XKk z;U8AU1f4+IDuj-~$ z7cxGF(mB1C@9_RLTXp?{GT**6IG*2~s&kOXcVKXk|J%u=#u&+Km9s+~xfX%bzb7Up zh&j1%;R3pkERUnKWKWoU%DT*@>QJ5<74MZlg<;c3R|f=}hlVHK&1fDU(#IHSHGGSg zGc$c#Tr9PJzan3}uw@P2okuk-JKOBdm7wMCz8K|mrUMw{QM(T0AVNI{-ys7p^gPe-lTkKf&m=FE;#SqAS*X!Lyh@#2>GR0cOLuiw^YVxb2?_C}((>Ya#h^I()^_k~^x;_a8$OhkfI7<(jeapM_eXFETO?FKJmGjzlp2Leq1-UZ$o}t=Pewv)Nj7 z)F`>8wzehuH(r^S-|XDE#uC>_b{UidjTWsL7e{;QJ20T z34WUL#orG{le^u=1m~#EQzSZPDqxj%XC{xXqzpWL=`fFsPuI-loT+J+=Lr176PlK` zzt}rElc63rnPR2gUK=k~(g+<2km$Pc#C@s1|MJ|D5f6j7>)3?``py4w-@hNdNpicK zTshX|K`t)yPY-ruzl%veFwxNXW|v*cv~Qn@kJ&?%*^o5-CwQKFx13TM4I810BbPI~@)er+%@ zkX?993N=Gb--(I0C)b)W&oe&dkA0%`^>20L*|_(`26M=n?%Dh*ElsVAEP}L*y+oIM z?8?`O;bH4J{t)Tu(|!D@2PrvZJ#W2I!-Q4b-aL?u)b@y3+11}ksahAlTz{}v*3)49 zIwo*B)$hqcEy6##0Z|TvQp795+g?hDJ|(K|L$UU zKbf@p`4m1Yf*hK*T}0zY7a(E56uZi*4oWFOQsy|9ebQ{uAafghTF#TwP7ggWzCI zRn=p;58gAM>sen|DBm!d)RW4eoxL%aSP&Nx!6GD-9TmmO^$}Cx&wv*Qjb|0Paz;(9 zX8zC5vC+|;jEpM_li7P4S=lH)QUs|`i?v>P^q6}Dk>_Wjqa56lv-9f_Qs-f&yzfln z;|P5z8>^$~+1rEPHtnpr>HFZzm(yBWTF3ogBqtaCooo93y$t@^%zJ47BZw+hDz+{r zpH;$nu4S->&U$=bSd~PN=bPM509a56d4SB_;pYKgGR! z_MLEvSiG;)oi?fkFXLEhIanW`t$(Tb;0Q`%YwMKG2Pn;GwrwlMKDw;6lY=8$zdbb5 z>WbWUdGdSugQUH>7ccf=xoxytgm}%h=r1iTnR(6W;>zjqg&rTrAGPA5qKDcFZjQI- zPDw_Nvi(t0S7$4~5y8UPlPYznOL)jDtm%Z} z&6byjeOk$1_gOiGVK^n?gwF{bkGQzZ(9_nYzvrcn5W^`I6*FWE(|sQT>9GY3Lb;c; z7^#ExTo7wjpYR6l5g9BRihCFmqW}G3ZHSJb^-Dp=c6aQ=rhd1~LEFxXJi|=qbo+DX z9={ja7)(h^b01C&1Zu$H*8dorC`Qi5RMT(JlR1c5R+snOE{%K_k%a)v_ncV2`*6vRc{s&fyUfL$*EXGG1_Y6sB0z1<*%0> z6cl9Nmer*p(ZwB}lI?5Dg#Bn{X127y8g(p^h0<$(n^oA|XQ;*X&z@~4u>T2+19fhR zWi3;w!0*wqG5t(K6#mI&3#UTD!}Tv-Opwklbbsb#(LBWD?Ci`c)Ueo;Dv>XI;NA0g z?~Ehw87Iay{RSSS-Q)B!88zK20na84i9el1I^=6`kVvGyBr8-_Ru;QXW}SI(Yw@o+ zPX%UW_?w80fK==Rc8r|+Y|5&Ylha>XiO!?W{a;YQTUlA9Pv*bz-IAH7%UXbLoH_Fq zb2LEz*1GYz*UEf;zu&M;CodZ-E8NCF6+(lU6_uM`94bC!Ec)K#fBwk0P4}NmIt8Tf zu(0rJvvTimnPKimsUOTO5Xkg2ugfg;KMAVh(~XE2G4*;W-{*CfoERf_zC3&S76Rhv z1(~@oD+y8|7aE?VXbIJBpXZ(yP!GMaG;LW**}iz-o?eGLDN2cxvX`a%R$ma|e?o3b z#de#B3eVk+eSc#6w`O2q$WCdvxK-88oM|qx)08Q_?Vd;faBi&4k;ppqv!qdHKf^+} z`eT2O&_R!lwFM1IMJ^>JrH{Y>{TYxsRFJNVCOOaZ}|=!z7UlV_R`DMI~nIB>}#I#`7G6%^;b>4n+f&|w)+}!Op!dW z{TFWhl!Jy>GsgO=+IE4TZ>&N>sj7n53N5PW2At-x;T)I7j2hI8+H>*^{~!SHYD6_7 z#dh-pG~xqb>2qbK^H}QFk9&?PU%K?1TXi&6KTiLYcZO?i`qJp==u@})&6^4LmgOmL zNqsEw+8h0{3ysYotO(dTE<-0K-!=8}v}%NAQwbe9#Gv>^;&F5r?x`Hxge2x09wqqc!T%3cPx7qZhvM9!E>l;NF@ z{Zk8{gV>TgZD#sH@Z;F-H?CyPX>jm0W zqbUkxcL^7U0o-TlgK!s*#C_$+>g6zyszOGKAj!y)(@;N@^(cTFJL-8ypyjmAppy zIN?PfwUa0PgdZiIO8No#e_9*iSO19kSYuM)NYRL85OtoUbN{{7X25c@acUYGy4iNW zf9g{WFe~n2V&WedJ-GpwG@^T|NK==b826$i7oanrI)N@B;7Y}2<>Z`|;fiDUothkH z>rBHE<5Kyr5TiQyDmyDnPk-e8!ML+&X>kgp;WuX8#&Iu|Z1fiXz0KNzy_gr3{J zQaAF448k2C2lfb+7Qiy2z20z=o^MWnXa-)1mxrgiZ6U3MCg{`~pAB!fFl1$OFTcQp$^k&~ z_Ff-~_sLq{r;ze0)_S7#O#%lM=P`ON67};q>$*H(`2s3(Oq7bMp#a-c7ovg!!;Q2!{Jc%Vq03Fk(-A{x{q9_vWkj8b`mo=XzA|<`Y_!` zVg(oqQ$E-0*NIg3-i`y!9w~)|g~9{HTiZ-rV~^`=b>5p&XRgRhzwzw)2D9S z$m@ReoeHpJs@3i`5wGQ0V%bc?3yU1{>jcjHuP00%3lsLz)P4+?zQ0f%HCt;*Uj;@e zJU;?hJ54wJYp2@FmoG>Any>YJ=F>`bEZC)Z*f8(3qX}crxNiDbA2-VT&EXcEo0-D_fuD2X~lcP z;qXd4y}W9-Hk=f)z10>4p<3EVbLx}VZY{T+P@Yj0wts)A-ZB%%W_J~_nD;ZoXnSrS z2JGvSH5d)nW0#cr^s%M`mu=7RFaWK*KBUQL(G7H1#ZhsIC~u|`-oHlLl5Tck9&k}4 zi@{jkiOIu&?u5*AbVT6AKC8QXcnI{}zTfi?v7+F*xCb~R^^?$0VdAeUf&f2InFNP~ zv>A23mOu2f+{Xu_yKK<#;X@zl=<`QjYa4iSIWq{9iry z#cD1fGgLlxihoF^zi1Gd@nxqaz{Ch5XN39!?%rJ|=tT99(X`JWKOR!4$9hD+o$T%H z0a85GZ!j7F>OES*6uN(cq>nr?-|034cyz`h zlbwu*vwO{+vs^t1mJYKrfH47%tfw-NX;c{Hz0czI*(=@zwg4ma1!{#9wvg9T1FuqK z+4eFq&A+GSVENhAeETn=s2u#MyLcsPx79w5jfRmMuOuEi zRhB{AZVY^At@VqZiRCR9iGq9S`u6ks`W|j>`Ii&aMfv395cNb39z1yHPzo|2z_)gu zv7d^v>TiA)}DN)A~*RnqDeK0ZE<>>fpDI<>!b7WO8X?z@=XwUua=mnOWb z1gMBiIp5G8#N7QK>AT?t0C~ZOJbd&>bVlkst_FbF*4*q5Ztd>fsOzeUV!LHbxTT58++kI&mF3bVykEyOPx+rtVPTecAQJ zzUg*xketVlA75Wz-%PbV=W5zkKQp_NCr^Uc1G@)8Df)y`j%M-+kNK_?KzOY# zEX08%ij76W#}59!=(<&{=?j#YVq*EA_kgibB~RLAq^0qL@&(w5RGyBW-tn~+gJS={ zfaT@OHvr4Yj07AL6BDzsu|cjyq>3scrJevj!2ZEAV*r*m`{viQZf;eOct zem;PXk+4&3+43#oSRbfp(OZ9F#tBE8dx^+&fjgrF!IEop3G^lP4sWMYB>A?qx7FwQ zmO=|qGEqE++q0vv^IlutC+oS0=#2WiBG;m7`+DUv__$8zT0sOLq4HHcE*zx5x2=r4 zz;4>xP4+;};7g0;pwkUBGbScRBU-%L)%q*m4x|BrD#7zJ3mP`xT0+^dyt1+Z+-7=< z2o_ir>Z?~8(c8OE(c>oVOpHyNU+q2N^0mHxvf!tKj#~fJ+8nR(GZWO=$?@I~f`W7% z;v>ZD^iW-Q6nW2&U*Ph8pDWtGX_-icpS~?BLY!hd6GFVow;kkP7uUfX9OU8o7A;Y4 zzzLrhDdE^X_$|660F%uoe)VjKu_JHkNC-baKT)-P9(ave=JM~pC4$WfMy7G(hDKc+ zHR*`;JTSgjXC8AzA9oNWCG5WDzfI*ew%dyr+>A8MEiIU@lbU{@y{}!nHtneg#~dYW zsivr?sNTH>=ZtjqCl)`pDgB)B9%lj7R01raKm6DRe<48-Yt7&VK7?%KB zkRw~iPFNSw-T;&|IsmQ0 zlP6DT%bJ02gb64=eE2XNr3dsRprm1(iI?r_<#*ndk&<$j87^WgSBLeW6fyWbWd9sj zprNDCAo#4!wSn<#QdbL|tr5s3b3IQ=LOK5OV-eQMJHS&9nFLWxJ_-pbCpc1F;6E0Z zE^RL})YT0`3c&EY_q`v60VFSAf!_#T1B!ka34aEtA4V$yr2)B(GN8d@b9Nuu6Ht1> zeb!oATlT%_pHB37d+pmtFb#G1Oyz{4vLw zC{fi(J|CYAyiiK`V;fOc*8}}qOx;IbV)r?8zxy$p@apv@_zO1ianwu>*4F>210#)l z{Mg)yk`?!@7<_wq*ZdJl;-7(cOk||ZrRt|ocX26U;-3z*WPz0hx^R7{PBrvJ+^Nbu zj6Eoevf1zI?gM>QA@MRE1q_$|_P&P$1SAhfq@?@rBGd<;& zEyo08@W64#+YEJm&^##K%gH(FS6?##2eoC(7Ai&y3yj9}aDrWHhRtfmUh>S$jF4H` zVbxG$Nvpb;@87?xaCprog~;wyL`gr6{7@%Z^HtB6RbS}2F76p{+H&>)L#5l(@Nk;G zJ~#dW%-R*IN?%`J-V#l>359$RC9)919Mp^@gDr;+Nd*7(J z;Uc59k6m3}AMfoL6mpbusTrbQ(xu<#_Luwmgk8YH1XX!@4GKkatfqv|y5~|TPX#4a z*zKAB0!d=x>^2%2L8}$OgWYdJ`<5g1o%5>-r~iy~TUM;KsL(sb!h8BN+K(fN+54lIA1Ox6PxmPum-FuOsj`Y`O%2p;; zdj06H8u7FrCpr%e48wk81<-3uy#X|?cn@W~+g*3O-9d|^w6^(s|9;rjK^;?teH6eT z73;9EzUHo_8p_RFQ;Rl|d%klXKFN4{hDFTwJX|@$Z>+&q4}MwMbu4$qd+qH8Y|Y!T ztpp!anIALU8WX6OZc=bHlHoU8Fd>r)o5nVHsUE(K3n9;;Z0SmL3p{56?SE8_JHMVJ zC%?X29U8-2=Cc zk`G>@6a^h}oSFf6F<5;F6QtfVr~Rz)@_Va+%ewyQ;PGZV+nn&k&Y@SHIlj7brZkT)a+FB4-EWSyg!Fo zbn9@U>f1Y4UMd9hT%?fW!U&Oq{jd93E9bGntT4xG6tmQHVpQGS14h&3w`J8*d@3XW{%Dag*-7SC1D8?UaI;A5zY-@0?cyPEo;Z z-)X}ju5@BE%&T`r$v>Z`5PVanU#$+sJhpqIXSCt3Y1 z5^abZXZnef15b_-H#Xd4!w`IriqLK5?XqE@dm#SLB;(hIR|wM}7;R6fZ-IGOiPb+T zDVMmzGjw=sgDG*}D|pZ24VMXX5N~ADVEgY^G>B|)f=RlL?p(Gmf#rJvos<g%%I};pyMtI@9t{vBA3Sw}80tspc~Rq2;szgZm3!V5SQVu2oW`4ISz$I{ zoE|1<5K~c(Hyca1K$sga)e|lMnaZsG>510}Q}I8lU!m4Lut+uxM;`Ff!O+L`wa>%w z=Zcr;V2$-KesnT$G?;?KJuQ*Bb<#9;Z-?5Cv=W+hy$F^vtw*@g-9 zu2=E2pD(Kh2Y$@DBT61loFlH``H$-M=XRp=y{q`U!Z>~;IXS;js9y}w47n)gJ>5q>5_gF39Vi2J34sfqE42-!#6p$>B>O0z-? zRScyKgY^*?BCV3#jQehyXCO>zn0s7y5~euJWAnszkUaXGvtj2rKTN0dFBB32+KIfX z_rKGA^0m1iU{*|_>w52HiDyusWTiBuDWQeAcPpNuJboOe6AP}pnL9%?K1MXITL0Hr zo|UqLqJ((#_&zi~Fs=+U#}1AEAgy_-u4jYCXiupq@ z+xMZL`^L``*9l>)Y}>P85_{EGEZ2^>h3S7(n*=N-F&4fioU|0JRdmDv{5(KQA^u*L zFxg-hR5}o*5oSyLV;o^dbK%!db^qGpGV!YQe{EsT`u;?tsEp8W4k&jjXx(E^L^*+O=wrgur%z)b=Pu}a9stl#u9V02~!bfV{Qpy?u5BD zrwV4m4~*vZi^+;+S1=9Fm+%yZDN1lOrtC2odGBOyzRwk;d z)dVV+ZB`DltsE>QBwdmqk-;hU4QN3R0(BiY+~T4lzJOIB8d46tG|8Rp@5@JsLo_vs zDhQF?p8=`gKH?rfovUH$t37?qf*tf1hx+FAiFuG<^Nn@IE6`3c90Nfl2479$Pp zf@n&u+QhYsC!Ea~O*0`zT^-s+%8|emsIJ{*pt}OzAAG70Dgxl78i$|7#JocV5)-o* zi7b>+8nIF>$fE8PJ`4(q6}OK%m2^(6E>1?kAA=zA*3;0i1DtQ6{m%lA1qWBx1xPbG z387Z4$|jT>7zqo}Q0^babn+s|dQmBjplpF!Nc62d1_h{`xMO$5k?k}z5S)KNtzon{ z0i7dCu@kNn(l>@1QqCpK#VZW8c0~ z+ZKMFIxzgd^4m;}@~qEYx^&6Ya}|tCc19>jc@$lLThh|f-j$XHFi_L8KYI93KtR9) z@)pz}{LHK`T5Q)=S7*0X1@B|y;P8Q#HYMedi0qO7Nf9dc-q@Do3PeXkP0dyqgNGt+ zpoI6?5tGr0^%9N~6J;w7P-Jm^L>}2P0L^fUh$5Xgz>LC9XLS&@z)sg7{f|EFr+5zq z4K_^Kt5>H?40LsQ{D(X8(~CG*NWM(i)khiED8{>hqzZe_K((ZaoI6=q z7Qd?tjf8<81c2~E@g8vdp`js=y(L9O*hF(tc3Br*UshFC{)F5cb7l(a9{`8vLYM26 zGK3L9?&SBNPiuWbsWwHNLa9P1sTuYkKK!-!jWbaT!Pi7Sk%xL08uP7O1QWk_;W)$K z(2!Y~=LPnvAGNi1cp2QT2L;`LC2C`AF6o=2=bIcaYs!aZ-`(QR0LZE!i(;HcgJN5$ z=&h=KuB(3>eF)v2z1^0II6xcH5cmWz1O?uF%r}5%{%_G{HC|m?tF!R~nkq;%%>asF zQE+o}@84g!`sOi4O{q_G5n9RX4h+6Fl!}t{Zi`G7Z%!N{%1L{ZC;y|v`mj2nQKflY zTX;Zpwt+h#koVW`{&Sa`ZT`Ngm&KG?@9d(C36!Qx$(=eK_FfK>_)L8Su#ULyi03hE zlow^)w@HS${OQ=r1z2UfYg5wyb(FEX=Hw~Cwt*3x2kjEJ4CBsWVH#p z4R-iDs~A5ww-R{@2=187ZVnEi`pR8wY<7N8n@A05*n@^N`>6lF)n>k}2v!XbA_5sS zEurCHlW;h5`ZSiuXE1;OKY%%uLAQ(&6hs8P$=?kgQbi&nS>6$pn-2;L7XVM6K#7h? zafHi2QReIh;RCFd2Qu_C$cx$(M}WPFJP_5 z`T`Yr)y|{0&B72v$61Havwg)x{dL?z{e)^5dGoDHeXR_L;i44 z23>Or=tfphp@y!F)9yoF>MMq>wR0_V!bF)xc`<(YE^g6*1l+gl`9Zvg^+{Ye|ELc6 zTtX(%`1tYxqA}6=jp0xZtYehMcm=za4qhDN{hnD;f58=yTpTK+(lt-MkkFo#iG>mB?3RQLOC+KzbEh(S$@BO5BrfA3e%K(<%U8E@GGUNtf03JHL3CD@r zA&z?CT>$t6i4^#*zfj}YpI0FHs$((u+T6Hj{TRnf$^rLra$dwyKyVzZz-e0Qk%iQQ z-6K!oY>(xYD;=*;jOe2xwu?IccI?|)iFHu`!(gJ8{{V1SoEenm`Un9$akN3yl=J9O zC)}#Bu@N#0$9GeATLj4eQyFI%WsU5NcL`YHy~tavY%l?kNbw#7f1f{n+GBJoy@jA& z74LxsG|aw&nL34;8rwZwGLe<&5VPOkZFrA)5rlnYE=WPHxaa=;>%^tx?p`c5N=b5Z zd!cZ#HK$?jO<<9Ym`R5RF{!SPgtyf$EiZ55a=w0DLkL(jkN@B4=W-OJyyM?FIitl6 zpHFJE7W*B1bE}3BE%T`jaxE>pv;p}Vq?u4ZM;lxPkE?hO)RIxE;lJ0XY@XQLA?R|p zt#T;29jKJujmJ5i7~)+!cWUeDiMvi1TQD{tPw@tKpm+~dNo{fdX3|?G)XWhjdW^$k z=3|BxS&izI&febMI1STgn-56r-h&6r5JU=Uod$~wFOLMm`KNth7m!*4=4-$3=E{#^ zB$ml=qoi7E?)zLejr$=aS$?ov0Lkbh!J{~k2`IRtLf)>mCem7zm5Z{3f7i5E(X^9> zZ-VN7RBVZ=lEsw|I!s0aYT_B)UAN88T&<>YKD>#MAAi>9<`;M8~6Nv9F|u`)Zf z=lFjki7l-oH`I#4OA20@CV%BNe=l$yJ(E0nPp@xqur(QJpw}`+8@peg)nDW>ckb|5 zzboD4ZCuSj^UvvIGb(ztPOY zhbKkn4fB^SGhRPYm26tgpZZ$Ut5<4R!n_D%;_U1!;%n2x-QY!&lR-)TyDAx2&y1V5 zm91}KU`cf2mGM`NH~vnou7sqvX6!cJ6#nSB8)V9>)d%Chgv?A&`!hhnzkyR&j|9Qi zmpgPx3Fu;jQUHch8=?`=$!3XbxzNg~I<&2(B+s$YDM{XfQc<)X94%1vb2n9S?8EfF z0!lXfH)@;yc^;A>^KFK2eFFn6NhQ-7+6Oxpg8C7>aER&k6yZ!aH$xnfRIjJr$vzWhA&3bJT5e5sXV=MC`%~^lO$Zd*N z55yNx>Oie3w=({wAdCDDZu)hm`AvO%ji64AfGumRsN>uhiB3Zt$T@G^6cc^?)MT)jrY~ev*mkS;v8C2 z_8afK%^)a@(=x|tU2v$msR@D|eR5-_kpu@vJWlE^)k9t3vpQ7;(n~x`fK+h}n53ue z=*^Ax$SdxVqwZZEfk%{F=8a@;&)m-0DWzvH0fr2xRu%7oohVF5;5>LxB`(o>rDOQUbq;0t3e@9%qhjB{^{-xaaT|>l;k`BPbG2Zb)!wLMDyOl#n+<`Wz4Db)dgL z!!W;wN*7CY7m(YCQwKWpSTpsSW`$odZ8F>=bNFy_(}+I<1R84h_0s>~uot+i3qLka zX|s#jK0O;NPD!fZ#Dzv4LJRxoAI&?9w7lR^{krdm*N9}21cP3SSbuoip^c7&D5vAw z`8U^s#lsQ^GiuaxvZ@W5|R(Z3bzS5bH{4-nv7Xrb$_BI@a z@Mi$O7ONeKGTxuO{Y5$ji3LmP;c(9n$F>g^iX9$Xx!!ecv{lM z`|`P>=XEK^Wfc{T@{0>}vO{q({Wkqn$^@&k!0=r8a|nkIRLO*}1?d4qL5k!|y%kXU z-A*5fGu?o(oU2hIsv{N-gD0N2%t zw$*k8u1tNEx7#SV4Aa18yX&YaDJ#Ex^@=EZz{_D3Gal50UL_|pjhd9B1r+g&9i8c+ z>{N+dd5uzsrs|l#!QGUK2EOw5#D78ks-;a&lD8lhJLBxToK8k9>0c8Qb$=6)VxwU3 zT}zk=7=Qwim6a7**6Y`=+XEIQNGXbMEuZQI8rn`;T>i3$%Rex>;JSy9k0ZTZ>o!fl zb>?R!Gj%8a@zBHx;LI@!k`oDip@{#=uBVeNa_p3~iQf_7w_OjacOdM`Y~G9j$0Ua>Y~5s=n$tH0<`IL^$?*}roFldD82XS~VxArfsSn)#Vk8->|^ zS9;zd)43_9^fbE$BToJoUN^lyG|9#2s;Q-oExcg%lyE$M_Jr1$9#e4O{Sot`|A{ONkM)FkukdNk!>r*+Ze zYqO=gNPmvW#kHwf;`GVlr7EF&bhbm)xs+#mw{!hZt(Bllx#BiqDmi$0qD3}#-GlF$ zW+A)6Sg0ERi*P=?=1buD8(GA!ks9cjA*lDHWDZCMRqxsfy;?#`bmNN@KdH!G%c zo#W_iG4nPy)!DdkDR^XHrq=FZ`e;X)snbPFye7UA01~|z9N$0Uq4~RDGUJgjYcWNu ze(keCr*`SJp4k|_cXMnD^+`^o{+USq^YS~WOf*XCK2n5o+m7)x)skjWED_w=riyb7 zVw-{CD`5#!D^3DVFr)?GAGK%m$t$#zgRfd540wyJs+8O2UK@t>-WyKXM3NuF@@c){ zRi3cVDod1wP5Ts?>tiC#r=$-j3^Uc7lx7=o@7<{NWWw@kmj=XY%JqEKNRA0|r4<-Fi5$PMH8QR?$eNInjqwo)(+OJ^hQ(G2qJ+f_?x!E?i zZPj}{C3TWx-notGd^7(5yh-dgAs;XI=I_@^ji&zeKE<~s{-KP%QQY^H&0^h$&&SZv0>hFkF$KnvWZ%7*(U;B>^@1{dGq~rXliZnCPsq! z$JxTpo}P{L?6TK4O=2QXCGAkm`CkZ^Oiy2UQ~9FM)t}s_{ao&uR^H`SJ-jUCHn)Dp zf`;;zN1i+H(-yH+$1(-iOuZylySo-!BP#YN8XP%rpbyF4P9mmLQBt-SgOmfMO5t86 z{n%nZz(}?9vGqLJsd2_*6TB+a`M!Z{CG3Y4N^TE0y!}PB^d3Upt453@-#L&@pXn|$ z(bJ2~2_Q#xQ8K8Yx0=q>NNrFGfuQ#img~29AnW4{Z7u_gV6mtOrG z#gQaw=^D(T>Zv2dKjcP0HOAj;jyz!y zQK+$_W~;}|CCYu;4On+6HjAC!d~%f|=zh+XOcEpU45SRn8qrtAP!(mM_KmQRXD;uK z_0$>)i!``$Nhw(`{yIet%Nh!LYYMQFI#zPo@f;6=w=Mb1Pe{K@72a4`jCB}^`W~je z?d92o@u$zvp0(YvqrqHW-bsGn?ky@*A1(JT9edCx{G49uz=1Cb`|n78*uN`r*KI{* z@!Lmq3cgcl7dLt(dPGb6e7rAae=_>j@#^Z8n@cJlLz>f{#%4QvwCbvlvn!IBtC;F& z*2Z3}`xJ#Vy}GC%sYq@*o8AJ|RS_Y>2Mk|R188&^$yK(Q9L7CWeKY9>*lTNMAJ>7~ zTav82+{E{%)T*dtkA4pC?E2aE&1T8VizkED8n6H(aR&04keN5WEmL|8QV*Q2_%#r2 zHvjkUe=m-bzL8^nRomr)kDNqT?;8tuKFM>to~a}@<}JtS_ZBqU&N+I| zL_^Nebr1Z-!-wk1pM;X@pq`im1%hJ(&z{R4KYM7GB6dB(3FBIM@uD;IFTGpg(F<+I6`OwS@^40ukdMRn2iRd4q z_e`Uf@tmiZiOnUvH>(G98R5R0#($XOF>i6c(#)&}+xcDoaRSaB&#m%jfUe}qVOr8f z5Xz)>I+ux~-8gFC&yaK~$l1k3{HQ%nC@S8AD2g>=Gbx9G=n&s{k2&!{7cT$k=;&WI z9VfJ`4{jzM2GdEpN?US^Md;|!v*c@|&3qr4@)&X4${{$4MEZ<4h`!IJeoHCD ziNqP4ju`A0fThE{xSo-?p7De`i(`9^Iq(!l#lt|$LFBmi?99l*hm_psAOZ$-g8JIa zCCVE9;4b@-L-aEHI^nUVKbTUu5A$3km3Z8^7Z_NDBcTM=^HMuiFC8a5fS$PYR@~0Z z6SZf36dWw;HqDL4{ZB{ts*ufDQNJM-dy7wTKo1EfhFGk#BaAzCTmzM;Y7*7brz11` z>y6LwG505&v^Bf`cRJ{_nMsjYCqu-?Rc_*&Q3V(r5@qtE=LgoI=|3SUdCS8?-God^ z@PgwY3A(HujVmefu&}TI(uDIO&H2DJQSy@-%qQvl@adtSjg9BXxd3`n!K3Ga%qKPM zq9HvZ5)hm_YybHZV$WKrV70@6chF*@<>{HjZcnkYu}y;F1mh+IO(EX2e5GrW_}&Sy z3Vr>y!6#73;@>wjZeW>soOSR|&5B#dHra$PpJqEqX#b#09RBKj8QbC{J@eDRxPq%7 zqoXVTcUT2BHSpTz7lW4jGlOqrwEv;_w}RyD47Oi<2WUwz4`*y@Uu3nNhTwUx$dyOw z`07fD2SlO7;b$WwyNli+yg)3T=MM`BseiOb1f}6uJ${lX0A3PHg)7-y`oxJ7gl9+} zHpUC${JNIBd7^N1S#j{ACR)PLd$v&pN?b_H z0YQmeA0TmJxP5;j5xE7*aOqbd2R>m!EQnOQk;BCIBn&g5fG5sfGvKI8Tm;Bq#06*z z2gb)cJ=cFamS<|GLLuHiIVt4N0`eE6Dd0DVkVB$NZji*0c#z%->TO|hL{UNPddn$i9@r{zS>Rx+(J!l=hKd8 ziH}qSgJyzg9g8!sT_5K&wsN5l(RBFo6w|I4Tx~jP>fkVe3Gc$8M3C=L>Jc8gs_Nj;qYW)B`AhxyY*>A~ zT+i?V+yc7RgzU-oRtJ_#o((}xg9vKuzAJ|F|42~)aDd{x0eZJ-2}B;M9>IV5-F&S! zL&SXua)nHaXK?}=$sZ@^WVhN`6~-TzpL{ zB|Tk4S|_RT9h47>_n@Lc6dwC+jK0lFbi_a6 z-TL`Xkt9h?@^N#!yHi*TX4o0xn(S~1*Cw5pXKg+t-yh}X;Q`pajqBOr3%`5+rrWQe zs=}n%KvI9^%$X*6mfgE`5#N5NAD5KGaXe~jYM~3S`!fr>zX#c6b9P*kYKc1*9TS5! zeWvRoju4+decEW0nw0c^75C=xRQ7MX@P%ZIl}bg1rBpKH&Xk!&QbH+`DUHY!nIf!; zXiyqNWGsY?A(>NYKq2!~O6I8y4U+e`R=?-BpU<$<+zcR0`E zJdWc;9B^~%Et{=lQ|~>)hFjLJSxEDF^J{O&f^79uqlS((mBkeHL!}_ZE_`43bI`7$ z2B8V*Vlws)yVe(iZuHg$ug~S+F<`pdJCr zdO-!s&G(uW(sfF$8#y;Esa?J5<8@Pu?wXR|&98`-&}Qb_Z{NMkZe6f{_u9!2I3*1XedS;kqg83YIfqV59|6d+sK_Ivw zDwkJO9PUQ}xfhWv04Y`Y>0$C=w4X?-)8C>sgpQr8d|{$9exk1tuag zG9LOI%nF=9*u<-UA0a+^MW;SRP~h%_vsh*gRd+kd&<8T&_%#s^Wqu|*5V^b~)Q78O z9-3HNO9#~pmAtp06ZL7+SrTt@wJY~|X}E0{5m9<}D()h8 zfUmp*<=fLwOrIf8B7<1=ubm(MD1smak)D9Y8K3tYq;M7jXoOJM_Z~a7H@43}iE;7x z_u$qBp;djtUx|knQ>wd=@$7YT%dgmD;q3D^xb#wjj7)zTn=DHUFXKqW-UnO}g^dG_ z8%|tBo%`uIR$3?u=H6cF`0vWhz?&MXs+R1%A3xU5O1>fJ$-M#RwNi^8XS>$k^xmqP z|4T_BCDMEJ{k2BBh9`ZG+E`ZC+kzoz| z2ndD;2iw{s2rWA#^2cQ*Y8PTQjGy$%DbcL082S+^`tF~y($8_Lza;hvtO;MCXum2O z%4hc8kr79q=vn?T$a`X~uPL5RZyrWnz%W`qZAeETtRGQ*u`*%n2@YHPE}p51$(_>| z<9D7I7W6!CDRTLwTmFV6w1BphLuz9Z(Fp7=qyqKgq;h}Q+p|tDOkf3t5)NCBL(dkM zY57ck)E*0a;-PeljgUlbw^r(Tr^55j8Sk~l2ovjv%nfWyA!J~u%2*XmBDp9~Of4$% zK?+3+g|Osp*2}kVU4SjqLa{NwsIDHaHrTlnyQo;uDmX7e@vBL6mAi zHJ?eG@#Q#2VLZBg#R_aj`mQv1^Hl|Np@f2@B@R)M+^u|{ub;p&2Q=x0GY-tGi!c&_ z0=&%68zl9cH{avDvri<*Mag)G*ap7h8Yc(=?<@6eB{ZS+H6 zpMYyt3VI8rs<9^Ol*F{I;OJs*58jbK5rrSJ>z-iYv~Wu<{7DxHP@HF%y0C2>^!~g^9UCWg9J;+8#VH?X->arC&Yb$wXA1 z!%8)n{q}gJcYK9|kCE5uy0ZAYvc~FKFLNtFz>px*61gK`c&8ZNN%X(m0?2Hd{OyjD zdmtlQ2bALBi-(80PY4K9sNHOS;4*V5wpTmu-Iad6>>L3pMS{==55)X>!&93N$tzZo zB(lEIyxm+Syi{9a1Pp{5h;Cb6ylD7SU-imm(?HAmjmtmXb2z_YdP>gDRBL-qA8H=R zWNgEJ&6S7*DCWhyQQn>Gq@qz;vNMsAk;;3(V}Izr0w%qWssO_DK`AlM{_|&?ZRORh zti2x|%@(;#@*eSJ^>n+lrhoIHL-eKWLG~dy8{i}KIZhDnn#-3Tg|kNGP6P*zN;w%J zl%!9wuT54mdn`Xo8IwKs<`(h?f$v>7IQ${lT`$c>JcN9JuvIn>0Mi}3SE4crYiTU} z)~%+tHv6tqrkf%hK-0*;xk;D{FjG4cA!ss*1Us3`I`~7SBSE*H*9R#(zuw2 z*W}pVzL?A&JC2Bf)MjBl-IrMe;F_-iN?49VBEwN?n&PM`jXV|A@(E@5j1K!I**d+gj- zc=-fTP!0PI>&Ak$pc(Mf>?`Cq1_4|VIWze**1P8kD&dH#4NNx>Q6$)4D{X$)wiKBS z852BkS%=X3{rf58K!&OFU#|r|%*@0+XFeHWAtcCwGz*&Hs6OT9wv+}PxuOs^2L}X` zkT1OtLo#5_{?wnHsg0R@ZpAsePko@9p@l-dnsOfT_cGdD4Sx%zq73`&5Mf_?T!dk&M8q2$^lp;0&l{I>QWpiL*Ea;|&gy=%urx*?Zm;SO$W9@+ooIiw zea`W*OE=Wo0K-KMZlr1xgbEVQL8-qR6UGQT%1IB8Tg7W6t5bdJpV=+kenx8)jaf9E z1G-t+BJPjuR22hMn1M-30_mtfAhizTP`?yNx7P9F{RlLXjzD%N-c9O2VF|HeSClLn zgASMwqJre)P|NX1)InDIFIW~<)_AH4{)5Ph5J<&>fQQ%{_PLU#!GtaN@dVu|$2U=@ z2MY-vAZg|0Jq-#$a|KsV!uBwEO}}%lJoUk-(L!;k4vlNICBYGa`Wy*&?LL0OgPeC-x6NPM zmR`EVNqz1-@y~<#Sz9=zDW71b8-aL8yjpR2^_7)t)<^{bbqMO^ss`!F*tl$__fp#CPy z==ML{xFin~1oNccppr1KYO~!2>GWzbdu>&;3 z%PW$}Sy-h#%xpV@zk%`iR|MafyIan6{_xASUza}f$i7|4|ZR264?$Sxy z2a{v`>;Sq(BFTj9Uh`fE6&U-8<5pUz7s&o?AngZHP<`_o$$ShkD2W6WetiNCbd>BN znw=RNA%q}|XcHxO@uZ|raJiv{q9nmd<>cgq@ke|0fQqW>GIl0&DRMtigaTC!n`7ZY z4S8AFoV_>&$efcToq-oAZH3k8>kbZQ<>A`*1SM{21js;dgJAR?Nb z)~rMnH+jXM&8G-LkvugBfRLr20zjwT?G=6RUgvgMs3!jQ2)KtN0wfgR2dHKs0j=9D zNS3=75ztOFEX4_c$Lid=7ew{rb%6L{^I4!?d)#YL7{E{ z^aTyN69kmUvpas-FTDJg${G7Vrs4BnuN40CG|V{2N==0A%v}}FHy=KbE>qGe+SKRR zUMc|DV6MTp*I_%<1(Pu9;G~k?hvgPbZE8{v1-DKYWsWIp`S zsJdVixIBOHVjKG&Q`6=<%}kZ=Fcuy%EB6Js{i^PruDW?gyyN<7mfvhYN;EaIysyc~ zG`1|(KL?O5I4FpnN?JOantmA`?&!$>@xzCzyL)%IOCRQHaVm>eDjstEj?E9(RLuH# z9SEx^F;R-TVO=XH79~7KOdj){H*+?fEGF; z-u(Tc@}Ir`q;7uNpR=)wJY~`CKr@Jf1rD?41&CTfv4e%4qoX4lD3BWhp6s7-?~3>K z^4?u;FS$0CiUy%3$*Xrw*xJfU4UjH2)E$^9qITG44d=&p7b`9)?DyRo&hJ8ehat|jBVFjJChlz+}fI&DHtUd*c0`uG0@Q}F{ZaI zZQeIqpMLZ@S6jV%-`kZ_uGTUSMh6CtzwIC#a^;imkSSL2ZTFdo>AhwKz4GU(@UCGQWq|n{c=F!CAfE}K(?di-?Ojyax;O#(8 zgDe;a1&Ux2GBP|I979ltpuRJ$k^{*{+NDLdYsnQs0;B6c!`A`>fSqS2wzE!>fS6#7 zNG=&%Ih>8ykTDTF#yU)g-C@aqY1iWOWb4)8AN5Tj1itgrSPt*gj@&V#80Ii*V%V@-)6UKP)6`om6UK5NFE%di#K|^8yONnn( z=B7%%9FwGb@Ruor)j;6<$Uz7g1j6)`Z1(K=iZ%2B|3ID@nB+k#n8Vd^Ih_`(+G|?t zURMTX3BNhLw7brX*OqE7)j$PO<`4EPLeX10zrcyD49^%@-dzMKF|OsOVJqV|JxC=_ zSZi!6O%crDNM7lMtN0(N6v>*zaQIsV?zmvx9YG5vc#lE#utqp&iHW@WeU^L!P^#?h z?X|T@Hwkca;Ilrx9>LDS5L`n6Ez1P`fKmy2lD5Q~d|$wK>`&u2dBDs&n1V0ARZO|8 zC9vFy&;Ej86}@lto9BkWoo_a2VkHaRS>FG_F!}e?kMb?$^P*(vWBEw72lQ0z?pD^; zfUdjMP}p80Bm^e~1kmo_u>v;cV`qv2MP18p$wZcg>XE_MBjV!CGaX9zsnQI&>g)0~b70fHd z@~s_rf!(55XvN?zmA@fgt;Fd=EIZ5^{1s=8-qkgzk`2_}nIe6=b948&Rs}B1eZYjb zdE&k;ZQq|>-oWtt`h+`qR95B}J>b4F@bTj$@@YU@aNsAC5z@|92`;lAKiZ<+1ZFC1 zTmoP}*l`EdmL4#Sk~8_~1!V2P)_oDpLm$u|LP;POkUx>|2C%|m!^zoMn?k46N-1ph z+T=~Du$-j`kyVsfJ7bZ>argA_9;GWG{yaPj+&OD`7tJf zAM60F4P`l7eCxiB<_S=B|75Ck`y6*DpnNj&Z36e4UmHy(e`eMR^)JqVzuZXWk-b9X#`Bt-I zgjOmUW!e5Tk76QH7%O*Ejv@=O3kn;8USNBAF%d-q5rkwF=Mq8|HWfe^g0~3}wgTk5 zeaJH+57{f@)7IWTL1=9!Bheg_hb;u1hfGmz%gl3_h-$`EZ8m?zMCg&>pzWA>A%07K zvnb2ME`shwzCn~%s)wM@l7A*D`0xXM%Xq^EsosB;v_<8}Qa6zU9)p&Vynx$i>ZdV@ zC#vthoY;RkM_F zI9}zQ$hs7(`Nn$3W%f4C7I&i38RM(mkn*%y)9Stb^Pz_(-9N$_qc3$_xVQgu>KWf* zGw1U-X=FFtK1I-}xPs$7Va5mNpB2OhHvHa_)$;pyO+&_uiUsey_7P^$C1xIkRtBKj z+FPyiMXJhpP>QlIUo-^l-hT~cKul74&{pj=MEw?s6Esh+D7fq$E2oxPT>dqiP3HS| zZ(bm6#-_x&=fymPJ#^fN-76b;NFxL6etJ2@EJOfQI|O~q_ADFm8(sphEL}xfg(^gb z#*Yqe;^PeVIpyBQn3MP-^Uq9#CPp}Kz&3TaqpqROy|Xwzd7*p&Ja|r_j(M*+^o7U!9#D)ZDb*ETh4d>$?t5P()&@Y z9L77-ykvIt)0T~upN$(5B}LYV9&#pXugp=H>6!ReMf>V{mt}Kv^Qsc6TFFgU7p31_ zIOF;tJfOx?~#G8H6p`&j5>jH&Y3e1@q~kDOKnmnPB1 zn8Xx3+#JU4obcisFHuMi1>rFWboHJs|6}hJ23s zvFDpu34UpH^?Bqz9PI2q1F_zKz{!K+@QX{xmO=6?dhrt#eEdK)4hN*xC5@M#IgwXJ z24r;V|B^fq0I7^gnwsCNl=RkG#w~YT)?<=I$x~cPYFEtS0+4#Ms;jF}XU^XW!DSi5 z;rSnBHObqQWk&FL4CxPa5vaZ70ge}lx(!|da!wegnxsJpn7ZrEr@p?U&pS~8sB37* z9nv>3xsjdi3iXD?-T1gT4P8x`G59>&0*34SdQd_t?D zlXcMw9q*o@-~bn6^Zol*3Jb$2z0D&4bw>oQmnQ%un2)`WA)UoZJ10bZm@!ZqkEo}c zWxxQ}%E~G_Zmlm6Pc)F~1BkRUIj?)ciMl9$IB|8i-NJosd$+CZC>AgXWRpTP^I{~R z&VVCOg+ceO3w9Vtc#t0?<1-NEPFUZ)46PD!BYtTMAeSDKAD^NqG#GaS>A8?l_ooa~ zbit{(Y7gNV9HExuk1!ef&(;HZ=Jo6QoT)^9{W-XB?o{zu3%L_WZ|NHW9>OP zZoUqafUN>h?g8v_Ka=wYWF=&UoL`ZHaNaH&bOzmL4A>if=gC+Ulbn!3Hrn5E_f*7w zn;pi+*=cELs)lOc2^A{r|A(?cb~Mu0#~}N{IZ;bX3u#p6H9h7F3dZM=QunoCCmLjD zruOOh{k+{WKA!MjYS{rN89$u^g5})#iYD$eCk0c>F70|R{{tz(&BYDN{Wv=Jm{`Z( z4jd8Lo;{>zHh(-JV9WR6kk_<#`1FJ>sNQT(I1y1Tjg)H zHdT}kB)J?ND(dl{@7ne46aC6kcB)86iEh4^x=Hs7&DgtlYxgg+<@9Y`{-sUSwx*Fw z@?Ps2krL;j z_b*e|ZniPotLfIgLqsXnf8~_t`Kw-+SR%PT#S6(LIM&$lGEuCKEqDLa-@iTx?h;O4 z_jI3q+VWO{Rci0w;&)84;raGs3Wo0!C}RCqHiymH{YQ+J?{79RjREzmXvE6qJt`hQ zjNOe67|x%Mk5h3^el@tVHRY*@oIwnUMWsACfY9S}t8j(S)a{1NJgI>c)bn`!c|_7}&CQFo_A~t) z{7_NBuuek~`12kzAAVZUg$pMpcJrD;OH5BWG2C1}{`hCh`D+<_Plvr=t@;*yVLa~b zg#n+fs!a;%OWrv&WOiK8GOdZ^tsnaI$^3w0?PZoidNuR6f3RaxgDf&N;J4C)3c8-^ zgIE^wLkV>`#kfDNMo)T`=VZQAOpmcnHNE!|2?#t^mmAOh?zKe56YsGdYi-U9jZc-l z`yj72aK`4vsG;2zAGb>WdP^;hzx8y{AnX(8dvvhNHT7f|dh497yg|k(^wae=S{eX9 zV1BVFs0{*O@G@LV@85?9n>Z~LG;qT>wF7y-=!ImcOFZf=ToxXIg$*w149*$=#WApY z^ziV2!wUS$A3b`68HWvh`~D?djF_cg_a@T;H!m;r0W~JKNRqHri_Sb1IJB{QfV6~~ z##dIF`BvO3i$;{n;CRpDCkH+}dse*piRyE;nf&h2-tKsj)=ry5S=rQzin$BQ&#w4< z9hewb_tp*XRlZ(U+7qu*AG(swiA0hNFYp41nmqKig6mS@Mp4m^AP7Pc29xl2uV3#; z+XtWts1@Xt@<)=jN-zYgS`5FOQF-)y@~%kM3jZyR`rEX*_IKXi9aS-RT{1XKAndI2 z5Nm|B)s-jQKAM`3e_WwGJ9Xnx&G~&YdZk-!xt0r@54=mPOZ|Izzp*T7w1o=?B?$z~ z{tVvRVTM&+XClpHou3VX0l+UZHk^1RP|@9XKQC9;I!>47?zz_&o4Rgi-$>sbdQC*& z+h~+cb=i+E=ST$c)EmokoqLz>&5v)Gh^l{=GC|vgV)l>G)x^5$Ty4TxKDXjS7RVZI z`65E2%^qj$6Lv-}PEN0r)$~r);aVHwv3F+rSM&Aa!QJsZSV6kD`e%WwmOXG6UNxB! z_@}$9Y{&UZXSX0qj>nnw4X%3kwYh$eiZmX+nWJ#=z%k_&3Y)9%wuU(c{^nV^y=3=6 zrLk=Ok{!#t(lZ`97A+jC=yIJ5exR}ToZ7@-L-Oa%aW>`$Ok00UMw0*V%;9{=>5b1y zrec>Oc%g|dk`hvNTP-)NOZI1wCZ{GT;f(4f6jG^<=4- z5S5$8%k_+xn$Sa>gp(hBYv3VAoFvPIgy?>GdBT>g>=3V3sV^b&8FiAru)@WJ1&Q+z zdE4z+2x&4=B`md0u@JD@m!j`;o!}+KK(bi`7=AT@?tmE+@JAcMJ604@jfVKD_=9!=G6Mb`D z;xi1e+Bh-NBq)^q!a6-`|Aa<-s?ciTLFK%Vfo0yatKQdGc62sYq)*~xZ{1*n~{=4HdjwX#PqvEHvjl+F+^RjQ|eSa&mqWR_a zs&7&s=0dW69~>1|4Ne;R=ogZ`uSpS$pnIk-_U%zxrSIebr`8_~q{rW*wKYz{VxMWM z;O4CKWwd=Q3L29`X+e_PZZz9{?a@5*#n=xv0Zjsi@4sH^SWJEXC;yy7{DS%Wgxe`w ziLvdPi?sUjQPCZ@Z`_;fvAw)$L_jINZi}UQOL9`-q3(+#7Y5D*7Hm~`+@&@{3~sd$ zBiu3W_4|AeeVM)0Mert{RR&!2?r4P2+l}&;re=NTgEC}{W*3)>+o$gK*sq-37JvM0 zIs&i{)J39}7;#^yl5ghKaKDqt%rbr}Bbn(UYrLc7OX{ceQ;V~wC%%Z_ui?DQ_om;98=mp@NG?e_I>19b4R&S5x#J|1_WzwP05 z_2RD1*4EeM&Fbm2jbi82HiZ0)d9;ZT(hgaqWrmyOW}kH*nwapq*Hmw+hdZ`fGd4cj z{=&)h!1b4Ui(_jt9ymJ9NS+f&-0?;xP+siST~nq(_ULuQHxNNiT5i^zS>0%Oi~(yo zE}KKuW8_n!$B&o!PkFpJSxyB6Zol@*#^$&rhZbAI2BvTh62O`~<*kxWV&x@%#e>xa z-;)Oay(zyQe&q8ggv}*Rwd$!+@2KqukJ5|~kp7w;#EpmupGcLxwTj7nxr-{377s4H z>S3wI!8jG@q6l+XSLssOzNV8VQKrhd{ zi4n=08|~u^lgjt__x4M7XRDW4m0GP)oe?@Dk6pHMDUE2UYr(=;#yRWGG3)+hUM>H5 zLywDjLZa&t<{ZxHUBtsx zHv(c;Fh3_xLnPOP}_6*2+A_SJz$; z=AyIy{pw}T{Di^Zua;AhX5hE@>Hv95;yxqJ2wybMPcZgv;y$g0l>xdE1V@7>Q#e^U zCbTT%ZT^yni10P=0OVkNgA~))O5zj)Q88y%k!4_|*umGxA0lc)7&o_P@EH+B%1VgJ z#`;T4vLtJQptB|kveXYTuJ`uE3*1@*j8no~%6AJ93zj#o?6rLj;eo;v-W+^Sj-{T# z8zXLC>*uDEa54@L=K0mcvcF%=Wg$M&mBvn~-6CG87=qAgVy6NOzS`BKPPOjP9WORiWkQPL3%zg<};Cd$Tm zx$11dQu`2eO+({@!rF&vX=r=^f-TBqcwcqmu|*v_?=}2Jdq@~8hW0ujvV~d=FoA}K z2D(6_uio$|>FtFD%45B@-i$2Dq7Jv@9a$`e0BEG%A6FaGQ z^5PVbfZ@0UABG3}(m^amQV(+W>iHD(8BBZd;K%5rcVw$!+m8QMtJC1x&A?kx>CPfd3H|R#Tn6z(p}Kfzo=cmM z_^;ZTw{L~4XTX25wMO}^G=(aYspV?L{!hRd#}+DKpryoN;Eibphqz8M$pMFg%)iLS zwExEFK;c+U1H)Bb=-Q=A>8`=ZQccoE->1F=k5f-Hl6y$7w?;y{F8Ni#ly| z!qCVF90Z4j3QKYyc&KmU)qX!Pc2l;4y>nIaZ_8z^u@4_O!?it%ZHc&4H!8B(^Y6fk zb++vXGMPPp2jI`+$}w zx}H2jC0Ug$?}E+qtaZKfT5ADN{x*=e-n;39fR2AR_q)|ib!#7&wjlh|avYRkV0pgt z*Jkh5w%kun=AagPjSUYBwEk{@3~(|bB3HCf42S?G3`>6_a~i*&=U88y$(9W?<08)RgR{2pn?VlATC;^w2(WVD`I#gRB|J9yI1ZCDNiy1`g&=*K82bV=^Y@7l@r;TKetrDyUC?+Os$mj^AVo_Q=OqlRUwls^|6i$xE-U|A z|5w(x2KNGpvMFq(-~}eZati(>WUn+VdJOspP^ZDBIxflEzi0pc#~|E-JlWaa4$m|n zlt*}YGRG&;S5?NQ^nudWPT z`&WmTGblvpP?1>|INNR)lg$GXu$*1p;J&f$b!`T(Y~Y0efIpbBDIy&RW{2}yDmAg- z=cxG6?6R0eejLiZxAtghfO@l1%KT)f1H`Yd-@W_Wge^c%??Oh#2%I-ZMn>v(Q)@pb zN7}r3_38&4(J=R*8-x42COJ1yQs2Ly~ev7Zf|KAYC2I66VnM!>ebM~czf}Nkv%<|>6W|0?H3-N$#8FX|gFcjAA%V>rQ1meBVuD?K8 zOSyml48jx6;Ht`e(304xq!(28E0D<1aFi@Jd=;n{IOW2J=ShN-=(F=)8*?5W2>b)B zXrfl+cBGOHaV8L4cmmw}AmD8GnjG>SQKxR=E??EupptZ=*k;k9MeI~4C8OWjZKiS< z^pKB@`z%HFpD;bSGe1s_U7T6$1epp7M>~@nL8WhRKMgr6j>G z{;OrPe|3kVD6N*6rKWjG6{Qv_oUrxW#yE_NdL0ooV?8&@9n3 z(=1-yPjTbMSFNqBXfFa%a$UAC)3Urta*%%BIeimVg^dyt=oVxg%`@JX3mcA42NFib zYu{BVam@0$uWe4;p_O%Yjj~wKNr=2<2d)MFJ~E}L7fkz#y5p*^S5aX#H16NCDPpnF z>R1KG+o&$RKSe`hMwH1wtqb#U%n$yl#33{`P(lkO8RZ4a&;T;R2KZ$;cjS}Iv70D( z;h96l+jRZ$1t$J-%oRto4$0zDVW_0dr_ z3!yt~fX_e}jq)V+l7l58N}rOP$xdjnHlFoZS~ter3&E3+kkHIxHkihtXggcJxr27Y zkT!q-%LjC2)QM$qZ{YJ5Y#o3CjcmY!9nf4-$>o}}=~y-9u>)z+bb9jrI}KRxHbd5H4Z z+o*r;S$}@HH>sv<8})3e?&kAhLrleV1pP3q>@<;6RGh`5(1jmmmHN|*XrMwmIwF2G zba(#-?%Y8v(eZGYXyLIPi^GMsE`jKTtnyX(rfPeKv|&ogvRZL1CfNBgYPQsu!-u6y)9N;If1 zU&W`3-cpLtIv~d)6C~*U%uJoXC-M30^my`kTLm%pp%EHF`zy%O%$&xZ9ipMzphHG3(d1`8FIc*SJ$V`1N*VVVD2 zA*c+JOE15Gd>Opz?2?`KA%8DWn3J1B>=!a3Vah|_*eemMR9y( zVM!kjunsyS!_kwj_&zZ{Zlntty8E>}wh@%jRpp2tr6A;J5I&Gj<89f8bK8(~f(8P0 zr`UCQd3mHMWFu-bGq04r_S=*~bkV2?$7F0Q{1yI@#Bn47SNh=KZT|jcy6e}qg=_?k z`Dn$Z7oT9Mv8(|TucJpI-+-5wLruK+pi&65OilImq?mzgHQZPE)Wm)1!onEw=`H%~ zOvUCSykAkmUfKYz;uqm#6C>bCcpWE7gTgbpVYT))0xt4dO1$32+_2!i1!CaAf3QiC37=mtfsfr=~!4*shBKM3y}2%7<8CY5gippZvWsJSX~SW*^Z^?$ik`y;F0AMkDF(mD@m-to4H18upFa;O>s%Wq zE!uL&Cc&WeN%%>3cLu}vd$^N6Yz`ns$4|lIm4oi;>lokl*)RwlaE{=_>Xm4?ITIc( ziU)MvYx5>nLTLR@|HzdqRz#R>%3)LA$P%<@Qgj`ijmo6P&N1jtKD=uwDeEnhGSQvT zB^cf~VmEr4*?g7$=l4YB6aU%b263r+D z$*sL`pSBb~+oDA$7kC9$uXfW6M9|i)yl+sLodfSBco`R2AKL^Am7d&Pd_*6jvSk-_ zna|obByDq-L`sR{3^J1dG*H7S?j%A5HwdaG(%{ICjjNl9@p%6AQN=ee>5A={UPav6 z53My!XwlDW2{-q0b^gJn{~iiF)P$SZ^~eyN*eD^jiA-An(%%0czr$EDes*$lP#G`i zH!v2ASN{jzw$r+Syd?XZBnoqb4|5)Kf7`V$VK}|tynVY~43s8mY3Xge$k%+OYjG!) zorj>g!e#*)&LsgYRHzYdAyWkpeLiIlP8E5et37^fykp1d_u$FWw>;y(dl^FLGgFXmkvmia3;tn<@elRu zL4;BE8eO%ty|Yu&R|;>nW+BH-D+X{B=-2xi?%{WXJF$WYt$%j61Ce{FT1$^CRzkM;l`47(y>4W7~ag>a4uVRlc!6^0b4QDnV-QrM;+t1t*z~mBaZ+&fRHtr4!EzoBJcyEWth_dIDp-M zF?vlS$iw@fV+RH5gp<=63T3yoHA(b?8V0bY|()>|A&SOv$9iI71sz+Z@dY<4|1I@9|Q;3gGEVlS0Qg+OR`;Pql{CPUSdYzx# z!Sco2h;+uRD#2MjtGJkrEj1+the6&6oUXU@*TL|LYbktS(A5w zXb>qWb39Aj=Y|B^VI>jS5Wyp{U8=w#~qt&gMis+Qf*PzX>o=#QAW z_eV7Se>FjuW^FwW`3mCDUEmgCUZGpxW4Hv7;%KR~oZQ^i=;Vwr3o#-dn2-7&w4oLg z6A=-?L=)R2CG{KBJ~Vg5;FmbHZ$TW3UY;+VMpLrbwLeNJSK6%pK)uo2~s-vU0yj%nOsG3?SZU~Sh zw$*u1Mk>{J?bxweGvJJ~b7o8Al;S`0f=Au2|Gwfa9oFP;LX|n{Y2)O{#Vn_&|oyf9$oRy#Nf!$o}x;>r( z0;R@S}Ap;miOq5|JqaTKtp$kKPdH5)|^wf|KM-FuzTlQm%$# zZtw`JZS)_6@4nrst;jF>Ioq4~mmV-T@9Xd1*&46l$WII}`=%G#Of!FXg3)M$kZ7^7i`$hgtvWc1O-J1a?TXA#_i}9g} zL3sWcNbws)J_^$c4UL&N)>c#5xKif2J{rWn*yP%tx9wNeDR*}`3+w4(#F2Ak3vD8_ zT+aoe^s@ZC!T#g#;-vjR>dp88R7>_zL7FyX&-U@G0wL>c1e6qtqP7oBK6KffI_b06>9 zHWZczrw=6SiowET|DHY6B+w}f+$u3USZ1j}?pQyYEO&@ebQVj3LBzPJmL3v;$6D;< zyvPw*$Hy_JElSA|dW~oKY0IJ;MMYZ^cNh83dD+zAVzDO=J$=k2cs@D# z3mDHwujLJu{QiAL=Gjq%&yYHIo5Wx(e~HNX-O}7_>NUU0*?A0zQdB4a$FK{nryBQhEHWI%K)OKHetS$o zC_Ex!n=W8Tpm*m+8_@G2M+6|?ll(iOzkrFnNs5M%Ybl>svXPOI`^ckjd3jr|>pw5A zbxKZa^&P`rUIe=)XpF&D7FqbQT`=a@#5CV^{dG6|vfGxxfWm3Ohl%KMVMH9)uY`pi z^S&So3k3x(uFFWK$W%#+U z`7Q$IZF{rP%*+f)6(CQ{8s}uL+43Zhq~>BQ2~x|310nFoB=tMmJ|kgmzm zxS&4~kN5Fj8{Ko8g0}0gGv65|_4oG!smdD@D#-O-50nX~H}FXy8#q|ToNsq;^zFVc zKB31%O#A-5{-XmeTb(pWKaV5QmKGMp#l`Ez#kc9{K`*W-FP}5U*8WMR5e^S_b?Yrn4%j|Vs67R(yk+BQBeHT!Cb2mJ}786k&o+KR+z&QJJz>&4jpE|Lolf_jwYf}`vIcBLrlZ>g>)c1YPv;4OEr#R*u&|sr@>;iY&UIjL&D1$)NCG`Zy0 zGnUL#R6xkBb$nSiRvWx$pI2A&HNbnMy^tb=25sAQ5s_tQWV~-~hK;30_PNWKxt2mn z+K($}{DLLo#7){+rhO&LM0dAd4{gal_^wdi7U%B%hvwS4*sz@@R0}75BJnu=elH?b z> zc$o8~F#hOf=|k2V)~(B#SKf-%c`$HZVeY_qHzWhtL+0N<1LUGHH!3&#&jz%;%R>jl z{{G`QSP;K^|NMbyb;}ttOS|;E<<|nL{xDF0$;$472LnG>FDYz(9!}L!bZV=AJ&R_6 zcyurG>QKT&jPq@i6ToehbP)w0jYH(U8e|4&T2W0wX>9M__Xy;X9$GpCBKm@H8$`$7 zFgqqES1G$6#p3bsknf!61&03cC1T!HFx=M_gVQD=MoUXeuHY&xT9}~V%!GOZe}{|? zs~gEF4v!-1)*^f=(iIJ~3r9@>!8P{#!?{0jg`-Q1fr23oDa_C&r8cnOot&BR$6Q9^ z2vp-p>leh5=-~5cmlLE%u|GQ=d6Lare0+QY0?JW1!Zv^i{coRi0Ec~}qjw`CaqfRb zbvAJFDI5A|ORFX$^TNhK9@&56ctnQ!x-bDD1tHjzd4*J#FI)Dxw-*7>p5406C}H5#xO%S1+6IwI?xnU~wCQ#YM2b@I)F zO`f;?$rq(;t0!XK>qrZ~zJT9~Cz>7r=5cE-3KPS=aNig|Fjni2MYfOf%0ELVV8QDM z4$J9gh+^V31LJPosFKcHjW&1J^^5%b+OxAGZr((jo@z%c9i1c1>83d6oJ+$-GcCk` z97S{*n3(X*MeU9*FaLvxp{*ySqjL_%txe4fA1V%KJb3UB9v)d)S3563%6u~e$Jn9q zy*g*LDkFdofiPm^wM_(?k=s=)M1uF;>#rVCVBA%|q#VsYHRp$nna_&iU$L3P+DSvB zJSnLPr!VP+nra+rqZ$;7Qy;4UAWWMaGp9YJ#kKR-X@ zPncruHb!x3cdlRGV`g?7$uaCuJV`@G#2&LappctE@KRnLckBu1D9%=CI2eW?A1Xl* zi~cD9|8WMQpoc~xZ!%imIK!=XhoPZ(5=?apJnmuX189d3EQkgp+H%<5!8dL(&ziQg zDII=0k#!*kLaiJJ5AYgr|6#_`o(K#ERXiAO9>u)1nuo`<7cbC>(;t+uEkQG<0gYc` zBErh8s;cPq#dhjEk#LuUq3DP8Hw3w6MZyXkg&U6GD%7^!CYF(y)%k5GlqV=%zH$Yb z^*UEgU;Ivs1gFX=a;H!X)a@G|*Ff!V8!y?c?j>+k{Bu1p3V8(uq=s=C{^@v7 z&PMoCqLKVQtqJ&->FWY`K?SK_nwP|%xcMUh3A{kPp%)n<@)!UJonOL${C_C(+rN$v z@rb9pqaW((Hr)S)$*LqttOq~;cc8QXD|p@i&o3PgBm^&ac8iQ3Y$XS1$2KF~ESl}P F{|BY}9H0OI literal 0 HcmV?d00001 diff --git a/dev/ECC_evaluating/7d5708b7.png b/dev/ECC_evaluating/7d5708b7.png new file mode 100644 index 0000000000000000000000000000000000000000..c0d62c6b43e9ec88f5a43836601f36bbedcd7400 GIT binary patch literal 53707 zcmeFZWmr{h)HMnQph&2MlA_YxU0XuwMnFJCx{*$O*hncT-7O%gbfXB;UDAT&#tqU9 zXKsAo@4CM8`}{om16;1UYs@jmoc9V=Q;{dQN^unn3ya{VN5&u3Rk>FwMLa6r zI`VaQT(3q?zA%gP>#1H^CXu}kPsYNU$ShvPyc`x53gW8Q=MXWG- za;~nsqsD%Q=?@r`;(o2K8{drfK$nlcFqJr5&g3@vG1RP$lCiQvbwslcFT8s7YU6k7 zsI3oMfpOz$Fk^~Z?0VzbDO_LQ^*|+6;^b((F~8HW))n2KDNis`Of@htpi}VpnYxhW zz_`$HJ%w7nZncfoufsr-@eUkZ~OHXwu>RPV!lpc#Bd_FiJS+aUWHA(*nIU; zO8yE(3^NN$-oCX9dc3@4@6Tj)X^Y)GxwmR0Eq7m?Y_!sn;l2qBG@#1Z>Evu|D-=my zgFXz&cv9t%-X$1SUw=~Pu~kx1Qf6MeH|@plx;pStal`8Xt_w|d*jt;5KIIojV;wqFgS{n)!Oj7 z29+`SM|g6+)zWz_wIe~ zu>0`g1N1LhfYcui3L_Un_ z)0AfIO52Bf0RaI{{QUgduC&^g7iWX6-(%4qhN1P?TGSi+_JW5r+^^Pcy=XZA>nj=D zGp+8zg$qR_zZVwh-S$t9*4ZmYCI_FNo$fVio@Jo70}@=1(3PF3$GEiKYVb?}Tp}7a zCZ@ia$Es>N7t&kuh@Y=d*N+ch#3gK77`QOIGMKY)v^?J)iJ2MD^!bsNP;%pX&tZif zSM>NtLv|LH0V5KuJKVX~u%cp(iaDn%m2(E$O;uHUc|;pc&CO{gyoI>A`=4^{A04^D zSnl7sjR<=C_SzV8&*0!-ON%U?<6>9*@7C~e3jU7vc4kgaPEk>Vsc-G=pPH==tDP2_ zgKt_|TEg^9Pfu?Nyv7_}P*Ct7kdU5{(aXal;LRHW>yfU*)8OFX)^OTJS9C&XsN&XQ zx2W@S+R1fNbAd!68Zq~k0eV5f%Ala2O)U-eD3jJO!y4yLpFeYPaeX$Zv~zWJU8s&l zB9R#xcU{JMdsS&ndE$$nRA+EZjE%tnwLj3%)LiJ*JCP+JBQrBK{Y39s-%v*D8{d;8 z{1V2OkuismT14yl{qUxyrk_85hLUq;XJtWqaW7vEKq4QXsmEqp4rV`k^aySS{rzV+ zKb9?)xu>_66MAMYSK1#(SV(AoX$hY$BQsM|Lt~y+{>7a?Kfh!ircI@Yd(pW6!Y=2c zqob3MFfw#?bo_G5Ue17(h=|B#Y-Xkr0AY4^_Sv&%D0?;asNCFK-;={=cg~E*ciz5z z+tuEF9pUcfmGkkVp5+0XGQCkQA_$+HBT2$XgqL@4bhOfXw8)gk1vT^urquEA@d!+A z+lh*1BHZ>DJk;Wzd>kAcl9Ds6tvN53dQwtSMtW1L*nu!_3SK z)3qA5M z3yi32<-~$N9y_REfT^Do6V{T*Lihlg~ z!4i_;qX7T#Efo?2jIf_+Afw%f2`lC_|M0+`ou41m95TIp)6N*{kpgDNv$nQ2=oGyd zH;j#EWJAf~yBBW|jeUOh;OWz}$+2(WW?RUO;o2ZJW(l2EfDv}Yr`p;h-d?fDloX>y zYRlH=C$oXHFAiw^j_EqZ#l*_WhvmZ94Jw%E-w{W~#oeNznQrj$(wokD6#4h>U%Cfx zav8q}-4_w@1b`bih~s+p-=Q^ocvn|f<+NvKYisM=9wi0E;YvmL$t^9jCgc@V zQ|)>~{**Fdqem;XTU&DZz2<9_0!lH(#*IcXFi0xwPhiT{5Yy0bR9eYL-4=B%V5_{P z#lX*B?%rK4IsZ{HHZNdY+H}6Ys=7K}iNWI+W2$#XOgN=r&r`0plTP7WB^Y}crj?Px z#NDtzfBvl1ZS}yIM!N^6`khuow~U_<;C$a+8N7M(X6X8p$B*|%4D9uq73+;8t%h=8 zcHHPqjgH>=dXdOtyV!sG8}|a*wT4lz z!W1UX0K{B4*tn2ua0!8x8{vf0WbAv;(y_b?6PoPz2dj&-^0Yo#%5J7OP4E)JA|f&F zbpGG|b_>o#Ej64TZ>gdMpW?U3k9u!)3l{PX?yQb-a&Yv_y?2}O8J(-mR+z|2J4s1S zO|>`u9P|0}XC(5{s^AU)edkH4@1dpMX^-f-g{sTpwq<$U=g(?A*}vxIB2rU}qe$=+ zDSbyKCJe;Gci+R@i~31(i;PT1O-*fa{UhAS@9gyB2{DqGv+>v|p79GF5`&?`0itVF z57zFrUUzYHJZP0XrE?p>Y1*6dGmbgiN1#0qj|yIF|@?QzgAcC*{={1!tG)LEiTU5R!(J44SL=YbDTr=yZ?5?syCXcur)vr8yXt+ zrifdgWN&V6+Ep)*p=A>V?d|$0U0Xs(oz5U&bk7|+A!5sUe|0!j6=#%D%>htS(rt2L5DIGrZQLp@Q z2o9Gd&zLb|6v?RCu?ZnOKfvinOM}l5O9Eb{Nh_fXF526N$BT6V4>>kAW@l$NZk4}4 z_S#{tIT*E>AsagX1!#~u{@MQT@T-@b6zbFh38##w#IWm^shw4&MWAyx zk0C;h_hclCy7hE+YPty|c8}ZDBk%+T1w*rC>y7;O|2{(-UV}(c>)&s|w$UrdLu_Vl zZhdCcUtv2@yH=w((K7Uu%fcj2fY?g17!N7s|22&VOYQd%;X9NQ^dkfr5_0m`sHifZ zBi94LeF!yzGv1}m--o|(9qz45zJx%^Yp#EZ9Up%C5Z*rJwO$XQGeX ziefBBH2OY(=~$U%_(rudj>UiHehceQDBxM6?`COhUfLRTZCd+;^GmAX=dQOHQ7OVK?A_P!6Fo zE9?H)g={8;4Q|7N)xLE9g#5^ehbT*DdT9{$gpNgZbjqT?q&{LiJOg91U(^0LMdJNZY7C(xoT+*Dmnody4jy3Z9)NDdTCG_jpFD~EX z{j;OSGdTH3;fNVKR~{wu;eyn69W(s&3dwY%;!2D9eu?_U`T6@31ZC_s`S@|%PKUX< zd8N%*2@qcpI+ay}fXo^xOVPSUUwmmo$(p*ll!Ra8+E7QM#o!v&!T_K{tu$Urb{fV+ zZc{F?HHTAfGt3FGt@V4;`AiB3#D9}B8Na{C;y(ivJ39Udq>>En#B1IYg{xmi+;N3b zzryCz+MQJWKhyQK8B7cIbOp`$JInoixM^>Q`Qli%j4K4y--wgzAR1W0)AJLn1doqD6`V5o;qwM_BTsgiz-jsi63dIeQ* zs|nn&!aq4a?)c-6m1dM4K#XNI0#TVc7J{hPYGI{S`yP&~X}XJ_Z2UCqvj0sCQ}&iLQi@8x^>=r^$m305bM z&CQp#mU{Eu>S67dbFs7AcE+%ee|-{6$H%Te?DX>G@YBq}6*dtj{XP|n^a_FwGDLZ4 zE)2+l`JKs9^WL7uBq7JU&_{Ng+uPnJJEMxC7`|@h`8F&}2Unh5)!IBbZy$liP?~^* zh=?0xWZ8BK40$(>eD(b#*$W)Ds;=_l1(*dqoRJMoFM((qhZLKb=opGZtVGXg_ z;y(-iErJXPpcZj{XxISpcVm5q%!E{*u95939n2idFFPOPX_$K-^`uJL3nVIvw*UI( zU;Yl6Q9uc(aP8VPErVGnC#NE#deqXA8_*Nhz^HxA0f|%dk9&&%%w1-sBDs%(%OdG> zXXOQ$cGjkjfSaw37IU((iNSobu*f|wDSG!o`vtd1E>&6fF^Mb;YVYCBDyS^d+qd<+ z5kU%{@sPNLRBGliL<9uo5|Q6P!UOXgN(Pwd1JMX<;VNBSUER=hHPHUujg4y09V;az zrRUEx{^(ipQLr05To}rf54UeP$lkw`A2H6Ubt2kQWLUda^*c-fw~3`e&DaagA8Ia9 z4y{~YS~6b{&mUY_>`g6Z|4=xF2YTh`HMTUVvTrSDvNg`xh;vE?@>AC0FU&u6~TAGdotV%XqaeM4S*%sMJ(ikkNBmmMk#qPEU^VReAL*|Q@WR>Ii z=8YXNSqPBe2h^SHPM8+5P~cgw1+XA7NB|<6b=x(+IWTy~fS7(tHoz|3{nnpdvPa<9XWCodX;XZ$k1TLf-b)vLMCvnJYkmm_hpWTj6JlV$+3*e2`~D8 z>$CFlX_0u<>aE8=2`0LUW+!jFtUh39VV`c^n=(Eo%AQ+^m6m>w_<~gTfbVzKjqB33 ze(Y!qj_5QWXZeWYX%B89CLuD>?~btMe7GksvDL+k z+MH_%9S$5E!lN_k0-88)q6M6U&DN+@zXDiSJkHV1YUQ);@3Ek<&>eF<3 z^3Eb+gin~dkD5+&a&nl1{W92m6xUcTV)5r2H~MaVsK6M2WH*M#%dHn) z*cBBOky78B`ENII5+qA8b=G~bEHuJwIoX@B|2UW&85wDFD>y8yB2M(#;r7bO zX+%s61M-%TL)zpa$PwsH>ped(kxW}VK~;YmjsCrYPbYEohj(WpkA;_4lhC&KBlTN( z(YNocpj#$@T~*j7y5gk{I4}3n!K5&ZF%iqN{MOnk-(A_?-|uuI=y1?jE3r55+U*R2 zi;}1NCZwtyUV%lAzaZY(PESvhncRua1*PiLBXaP3q#*+1cJ*|+%{5;sZ=RSC6%(rq zA+2cY>{PU^>*(!`<;+pI)MVwCo+9SqG+{jCs)+U)d5&m0IojJp4J-N-e~NTCJUq&hPFuvmaM745zU6t=2O&jUMSA+r#4RCH-+TYj5C zpM>PKwAs6uS-QEkH5eu*1ia2=b!1^_X=#4m8+wLF?C-0|?IwKAC?NyqgL1231%W6*qOT?``TgR-QtH_+e^c$N;$=I(@jr zD<%a3r-avgoHRB(tZkdBesFkbROjA*sJyVSpeNQjKR=%(UT9QoTxpj)=?CO!Tru~^ z;Mk4V=g=8VUluuJK$qjDNg^vsney!^9zH%k5z(koTYta0%3HIk1b%BaD^|aKE6um} zmr5cP5(CvHyzgTc-Y@W93u!Z$LRPZyrJ@g3aeUKYtu>CmZ z<%nK7zg*x@K_wLsFZc(=-hYX|1}^>2*EGCA0EdMBtH=lMAz( zA1u*nvFsqq@s=tlofM0W>e+CtPf+>A^QUA4{s=tuF&QEVfY3^k3Z#1WR2~qv8a`1G z5&f=9KP&BLHYWp;0=dAR77fcUF1E*9|HCRl#3fIxahJ|uXPpF#f><9ch94g8?ge_K za<;0Pq$DJ{;W(cl-c)$*pjZTm^2RIe8-YTN#W5h;Iyy8?QDtKgc_I5@mOw&u3U{;sAu2oAt(dTjl=L1$w1ZmWG8XJLChA zl`%Y?R0NI?ZxR`kdxLWbdamJUt=7q|3z$C$34`64k<}f1GPb@`X>&l=bKKj$_Yx4Vfr&xIxc@&usl|}1Xc~K^+M{8ebdvv%YEsrGX$4OoblsntN(kGBU^%hBrkK(A-Oyh9D= zvp4)X+}{`5n|ujNgY{+DrS|S_nuXdxeOtv0to}8Q%hVvM^T)A=uOabt>ik4p;>EFJ68`Rk5-@g{adD`)ojFOUP zFjU~XgGYz4QGHAmNvNr*X=&FN7lDY?I{9|i!NPd*B&pv*i}P9kvvRw5CCEwK&+K1b zTjO}3zthp#DeARrqobn((YZW1Mm>{d1EKur5yXASOAuYXdiB~hw$kVU8v)}g2RdQl zYKY?FlFLyHkPrAjDFNtU(-cWo)>Y_QtJJ?Ymekoe1O@ltU+}{4p9EK~eBt?x{|YAr zW+VI&2;s=Y{Ct{;hy4Hc=UW#;Y%J5h6=xU2%UD=_znDWbMzy7UWbo-Q&-uxukN5h` z>qgYr9a;6~CMGT-h7Jx6hNG9uyPGLCd1Ba8xDETY3>tb9G`cJ zlnaV%o+Eb93BNpXdcw7#`N7(0FLw3uQ}P*XY6G1^R7l40$+};xr30jAK~CpykM%8Y zT*I`p?;+D+v(e`N)&hiVf@#UAS0ZDWEMPm1;iZ+@2yyv4m*7+i{~Lp8M!n>|j~`%C zo>*zw`&B=QEEWnm)I%Ic7;~5uRuDbD8T6+-<$;Dr>y?Br^M6=*0R7xh|j! zm*(vfX;&B4EPzsgHt|)aV)Y~)xWn@9e6WY!^kCaLdHC5RxN62?Rjv-IESJ9f5#l4u zNRYweo(|8%A|SOS)^4_j0mHI*|Ij~Iq~M({pUBiVo5w4G)e%!_dSKf_3kTJ3p?OUfvuj?H8nRkm*TZn z4SG-&5-|`L%u1`tP&iPsfDPA$=@O}Nz%l}Cej6HE+F$_Ucc#Hd@?icZBrt(=0WnvN z=Lt}P>6;hE7nJZ7ACKuf#Eu!y)j~)o!Wlenz6;U1pfoD%rVa;HCDCvRC?^09G}zEq z=_$~;*Y6Qzy!lIUp@R#oQefVa?CgbI;*kCX9wZKIBq#{4e10L;*ww+|afOW@!RU1? zEIzX==^?7@WT}fUH|N_SW%=$FcN1LFVFyzX4AHRgaJQE)fkJHU>=bU35>bm}aR@Mo{h>ayBzCC>Uv$@OLw*6C9 zL26j+32}%Fg^cp=7UY|GAaQ`AUmAKLPzr-00nDL8hKGkkW|)OVzuZb2VxzJ-f`4C+ z&(PDu1E@e$PAfA^040e@8gbi}57?ouE#~u|=*=Ta1KFm1mi!3WCfwSeFCij@8{3>n zLcVa?6WqefoJc-L><bLtF{^iblxc=~7QJ)YZ%!?2HQBV*V*`yDR%=GtwIxlbjfrPNeZELz%r zetvW^3JM_=T=euUEiE4(MKX|zkV3~)g&DTHANn!QqgJvC=tA9cmPic`@;|BJeR;9h zvg@mCwo}{kLWjZ6&Anw-h_2c2OuX#rW8TaU@Rkqm$oTA~o*kPnbVM(VZGo}{6>}a4 zTc4A}gO3V+%tQ4kaI!5gK7#-=QfzEIHwF$7R2Tryq(ioBy@M&D+lh_!>fQ2C7kaQ( zwD++~*YW5~i7LG*=?uC(RYhom()XQ${!I^A_Av($4>{jy^2$mEf{YPjJoTAwFe4#Z zjM@aR<#eamFS;TpY0Vynh%6E6Bf$R!#ry$6YrgnHZOAS|z$`4vgTfA69Gp{dSs;(0 zt_W+3kX8c2CUi&Xv9P54x$5PEh!KfbLU~y`w%5b;NovL^jXVxM+MgcLxVjdcJvukV9K!oQEa0w{xBZXX0T01)HUs`D}7CBgL#7$4R#E$=d z2X|4Mk*2G=+XsTVi^vq@n)K_*0ikwgwrS`%uh|;b)qS%5)SERqSRFsn)BDIjSGkNh zV(KL7-uw-gPK9Q=u#6wz$@$m2%kBhRZCSl{+0tjCA5j(dW3|8 zq-}i_+@Q`_&Qx))U9f_{FvKCGa_?lXjPfvB9c0NXASw=#d!$Yh*?xZ?J#oKu%!Vhv z%Z#_thw=pvq@p7;n2vW>qa)irh)zkw{T%xGV(hFQy?*3jWB4{Uaw9oix`p?dv(>4O zWRhwZ2b*tR=qHaJSNh|RoR%|hQco59fiLy~(Xtgt95#9=)lCQe-G-@a0Jw{(8g6fY zWZ2fzQ#5%1B{{}*pWW7{$uI>PzqG%tnJ))x&+vz&atBx7J@4!o zq!|@2RoeRx@mX-)+DDJl%KzqNJR@;ouXR`~Cf8M26RGeSybyViQcPrD{hki#;N*1p zXDw`8=~i+C?@FuqIG=@iA9=jJm`a?c1&eR=l(OATG;V05!8%khK?f%gUdW}sgy5rr z0tmeHid+)i$L=Q&s%dt=GONa_@2ouqCCE+jP9!;Orh$Mbu^Uc<0iLLoM%7L~<@!5O z%t&acLVG$k9hHQjlX=}PwleXZl?KnahO#D`k;BrG%PG}cWnuY^?l6e1x z(K?BheV?Bsy_j(A*TY-9h@6}EPC4)1ovZgdHB6qom3#Sk7W-XbXlN+$T~5y8=E9Q6 z;oE471vm^RQr2e za`K+cu69kaby{l?Cr^VrBFm6gn4xWIqc)hG{Y??J6-luG9}U!2Wk!Pk(BqsyP-afskJOfF8l?V=Q;{1 zuU*f2*H`MiovPG}YvFOQzGFG`*m#OVv^n{>O>w=1Y&{C(U+!rze#El6;4|3ojtmUM zrvt7G_(XO6`m--CVCy1+?51jlrMm&CE{-;J3PZD_-zKIg^{+THbo0KB)p%K3w-?y% zo!MN#loL_Hrs85B`^rq2s=;e-;iDp1KKobe%C^y9z)X=>CTIor09qR{&H-r8r_r%A+Ao)pjSa zc;-Smp+K^pa1}Gw8D2G)o~ZODZZ+OSq3(%4h?yQfaCX8(_hI>~$$zd@w=g91wy~nl z+Iwbb*L^}qcf!(uYpKFYy$=D=eP>uVfEXJa`y+%qw{@r;0w2)s=Vz$Cn(ppq7ZW>% zu(3Lrqsl%)0^LHRN@T%|jDv?+Q4FmVg^P+<^sjB#HO*P7xp4El^<@}ZF#x%r9so(Q zYlMXgQ^~oB_^VSc9g@-f;|I#Q2J*EvMfg^UV>S)m2PH+z_|H)Vn3M>OLK;l|(yIANwYZ)F)Yf&dp_l_q5>C zKbUZ%|7&zz{Sv0mvJ0NJ#|AL zBMex+Pp290Jl#h>J4FPkHBw$2y<8)Ddqq9U@5?8tl$La+(T5-cu)yBK_l>yum4^evZx?D;@dY6KlqGMF<#*{_-x-TVE~H9eBd)OwkVRV1s&{V-#j=xo!dA?Fbz5h>VCHE^L~j} zmYZ3ZQ9a3cDes?|5CzpLg}s&5%v5M3F@ha zI=1at&hCr{87!a-1XY!27uQ`GgcS|ZZlR;N6Pfl(O0<8tE9#+!7b*uP8vPo%v{pJx zVQ8W=Y+R~;p-zt z5iWmBiD%f9(l6>x4mrD)R?2tYvhwKJVL&vjD65h1)&L(|?ka!T>Wm=95t)u*-M~tA zUg8To#3w13xf@|S(@Qfx`UA6B~Rtw$yE%?!{T6||ubj##S zw{Y}Ahuj^^6;_-Ci%I(TkxUBVH5I;}g$1RR{X>{_xyfIg3O|ai`=Vcr7xntwTKep= zpyV%};MIfj3au#^U19NzKHl%PqR=A!C~s&W*%#&Vh|B!b zw%Y(=;>b^;MCWv76pY*Gp2it8Aw#Guh771$yY)?YkvShWrMVSs)4vLV^bf3g z*I@>%Hfv$PGJDXjPZ_4IGTfhsJsl>f3Ik zbU=KDoSQ{o$%Y?MkRaw;?K{NxX66=Fyi(r(4!cnP=3i@s%VTixZ&Z9-_dpcYAjKoU z961Vyywy?n)EduzR--b5XHsfajH5>JuLX*>6$Ad&yc*gM#=Lf)6;`q^XqokY4IFQaPVIa_W!3Y zryhFlM|~!BNyG^tUK1xDKO!PQEThHifG9MBD$rn!bP-YB_wghWp-!S%WO7t(30lX9 z_UqO27Em;f+fa7>Jac~5(H|j*_EIops;VjGns@E}W<9JOOQ?E<4tS4MhQupU=i4C4 zr0(f1iOatB46TIcVo{VP4m|CgXfp2^&HiRRc3D%G>QN_q!H8l)hc5R^7bBAY8EJ|_ zI4{)h&4jVo^3d$N?xmr^Pt^hUB&N1fPrmq*udB3ws!+;};v|mY6}-TIjyA7;wDS;5 zZn{aSFQYo4vzPFKuhzv)SE&|=+eRdX9X}FBh?O5bX>S`WYTy@f?ywz> z@4Lo97uLPbX0$fBd%fP@jo%3Gf1ezEqm^XG+4Uz^W}qxX)HDUPi2cJvRH5ANhFfX) zS*^Rr;j~`$Qe)AyHFos*qLcdl%=FC_H~Ct7MmK(x3t8aXtG4<#ExCSwE&Zs~A5~#O z5l_5x=^O~&A$JaNG+*McA04WF(EB2Us?>aRHtC#Ak*^*_5%2g{*fuy>SJ&SfUs+ap zrPe%QD@GCM*h~~2y8B8MvWn~|3x%Ax6WIVW1 zE|A8{?3L@=csuE})IV>lPdZOn30qHG^f#IleusPeIS-8D;wvwPjC53Y^Yu#S*UQ;` zFbSb}f~b?X*`cZdYw^(kJec4Vbn)e)W(JN%<5f#OM`C?BQ9C(6rK|5jz6S~M>~ z-eKjok!a!32C|Fs$k;EYcdFm+BvagIe`n}J)plIe>Xf{)nQ6!7z0TcMJF#T8a6_Lz z3gMERV!WTVm8S{RaL*CJ;yp_gj`o9zLqc096y9(sF>p3-E!8c>WgjPv_4Ua+L`3Rg zAR`lzDAB)1W*aQbDSXs?1O;FVxn`Ogi{Ct)hQBP_7wuIctrbkG_%{vyYTYH!@Bh)d zu-EEk&6_>~{;zemiyPmxv(wAd@`AQXMX^NT^*q&Ixc0ulRhyRUokOa6e5=~RTxml&fMILuO#E;6 ziQ)Pxh5H~*vXQxSwIj~U1}^fcpD!E+{#fXyh+w(=cRrMF(is3>%?czA$5Ir>Z}=OT z^RS{yMAmXMlb<1ezH>!n8W^0l>pAh;9-Rm>WV;b*GiKwWBt;%v1R9LZq)Jhjl(IKq zpF@&vL3p#+PKY`(!sKLr%3s{MhB6;ImnNR~PT!PzOw~B$f8t3BLN_da{cE(3xj2E@ z0=X=`DR^{UPkh(}*hfc)jcD9im{)u8nN!!QtM+?TUay5!9@f+d$Nas#{~@J2fS6Z@ zRx^syB&5SpUOf4afcOZjSX=#~JxQ+ZIWZlwHmx9_3GQ94bjW$4+{04!CCTs(@?l$B zqsf>rU32zrarQ;Js3E1QUH2v;&Ejz8ydGJ{C0*Q@snGzwpdbHm^e}%hg_3Ozo|m&{ zQG^y9hY?>+!XA$p5Sr#`Umnvl91%SnlG%BcAccwiQsUZ)mTKB!N70M~SLvwyTZ4Z& zLbyoF#%wo&?T4A;s{XGCGN4`(96FVNfv0hPkvrkLBnXm(s6bsBl>xB_Oh}+##;(TX zxS2+H{p@X-Z&(TWxc;?>lhl@S+o6QgF~2w?NKaBuKT8@sSe0+#A9Ne4DoY!Z>Lsxa z5Q(CgM}6qnA<-WE#VBf`FnI|6H{70|RUy~_+u$Eu`lzog;TZ4p=aup09$NYR8I(*e zh*7xk?#ekt?jW?~K6rfga^Mw|uSTs|TqAPbb1sRbr%`c@{C+XNvPtURzXng`&&6e= zD;rk!{8^Z3md4`-I)WUPqjE3to3sATh&;fj6HEFd(7o(oz;&+!E9QJf=9&!ie3!A% z990hANuZ)B+fB!lht@tb?<-Eaar$)cS0S(02b|Y8xH~{;W1%$odjxMS&djeK)mkb3 zAvi2vTh$;azeK@&PL%csNm$cSDW+Jj)08tMZPSz-WRmgUiES zdcbb|LnGxA13bDC)w)=ZzaHtlcrAa1P_Ju>?x{T@SSJ8+`0B9O@#D7-0qtG^#MuRL z)~mSjCC@RZe>uBNhg4It6wO{pIjae?zM`e`-AfgiU0RAYA4YAZelGlrlBl-o2&q0) z+*`F&`xwWw+p8W@!iUQokGn)_B(COFeu*Vtx`7>Hvzk4BHXjqx;ac@nW-mFyE%S7- zE`OZb8Atx5kyA%Dw}N^FF#?a?Wc|!kw!z2tx0-FlB~;Fv!=Cf0t~F@M#oM_2XV~VT zxUE2IG``TmN__b4O$Cwq%;z095hVBRRLA)AnY%iE9{G)_<0HpMoqs#<(4mBJqT%6E zJGm=-`#tMRN$7W_pb#RoHJiFas&W*iTnsb#R0?wz4UJ;SOAi;HCqM6rWW5|b5$Si0 zf1$bk#>YG2tNUIM=0==%UMZaO(lm-8XNsgs4iu#MjuV9}@Nl07yg zXHnk`-V6CCO^3{=e9230*5+ahG*;-+wY}v%?RPrYa_^q!^3w9GFbnqv&sO=u*ky)D zJr9S2S$m?EXeSH)D(-9x?!~5S^~naoiBuQfcoFL5^9l_=X?d0R?-dlRLWq?>Z$59RRPq-|cI|!=m(DAsPxZ0XZSPjqe-K5(&!M*?KY&}- zFQ{%HvpP^^Sz+Q^Pg*$M#uG=O1`19VVWg77H5xa~4^D#*1w@jisdX2#4X+MpRx0gV zPpYS#o>Tj@2rKh9!L;{^|Aal#micrsge;+JRh1rH^ zXV2uGG^XquM0FBtOu&jL&zF33f7>Eu86u~0@78|3Vqi|vxYBTp=o_Wa5B+gspQ5d# z=XT4e2d&cINPYabE?K%<2cC{>xD8#dkMxs1CPOo1%H#SBsJyhxsL2bv8|mR-wA&tD zMEiVwmSWe&c7!aK>6|sQWXB9XRkV+V3>k-bahcvSnxN(mQI44%A-#Q3Lf6IK=n~m> zkwew$=N1DRKq%PfE~Yb$snf2a#p~YKmu;;W-7LS5hkyRkq-saD{%1534QGs^ii-Y- zpbL@D&HEaK%9Oi@)0M*58Bh4Lb9)L~14Ts1TNmBNJpxCcMZem#Kz1Ku)-D~XfbMcKh$XydgBX9kb$C9h$nxEKQ=@0ApG^Wv~$XZrx2bbs};??V$m%C>GIgeGp6 zC2or(6F-Oi`g)kPadqMand>m$_ zunD=-vtELUDYt0#zi~63ct{do!-3s^PYp*G7@{Bgd&ru(lp8A+uQLRyKB@2nDxg2N zXfgTMqBo^mywmvgBw{dXozU%?gO|&RB^356)oxEVfyb)77}L@2Z2}o36MHji4|FlV zVJY*0pzGjmWKo_i`~OutkTWn>d#T{pZ49A|O3&yeuoHLF&X%TYPVHwdoEeWOW^Qj| z9rxibN4)N9@A-`SHt}4;N#CQkt?A0MQ;uC6R(b7B+=XpQkfr z#n!Ej+4KdQH~po2{zb7Xd2u*U!65Hj(|Q-ye~(c&&B0iTan7EDi-o(f3_6jZ!d{@N z$QoOV@$@r18cR`I)&G0!8gOF$eO?jS9$D-(yX%;ja)@NXbjoi@8U3tp4VCVex@T`y zJoI?IF1@N5_^Xe?y!Xqz6rh{5D$5Rk6n+FFm0Yx`WzD8*n1t6X+}|IuexJ~%TG*bf zL2T_*ZyMbmsn{pP%A-DSRaKGxKpJtzr~L1bnGo3*yq>@-p)n$SYU9XI)GXI#|f z^M#owOpu2G&%rb+of(5XCl##WPz*dhUA4MP5YyU&&kSEuXxA>yj$IDJXWptziq7vP zvdbLQ{!aQbGnPD?%BdDTQ_>uDGxm#Dw%5Aqj>_q<19n$7mFs6nIS zai&3!(Uj9}-jig}-178}U@p$ZqcUnuWc9D8Y zBs$Hl)+9*TW@5VHtK66hpnkjXRyC+t%q7B=O3V*q>1A)5<43yQ(w~fUd|IU8;B!OP z>+H1(`+70D<3f4Rc^8D*fI~^=oZ>&4ZFf7>&oq>60LIyQOQq)xFJcp1Vz}DE_UcE#xkXda z^kXoMO0%pgX;AT{3Mab}RGZ{azBF#vZuBbVGNhxpeg5vsxo4Jt1JZ4k{KOypY>aj* zPce8j#uVQ*;$~W=&8pXxC z$IYLHqcncRVcR@BImB2vQsvgfmY=i7JOaJm{miP|i!uqx`yD0%%5PNrBI@7DeRtbZ z4g8utid_TsL*|?jqC9#lhOVEIt;=JNaw;|Pc?ret;;b%-qc|~z__%OovXR%$MXO}AFBQBEpIw$T zmg(G0Sd(ej?-E>KB047ld;(eD^0+L_D267yhMpBJ;4y{fRI{@y9E^$EFHDrWuP*Mn;p|w8=>C zuRYZFQ8fBGO^72|>QgTKICJ*>)ZK&j)zvOwUKcKY#~v&>Cc5Og&vehI;R^4fGHiD^%`z zN7U*y8?%yd0(t3x@b-GS+U+!f>v*quY@o6eDz9K`xG4gGh!=%g1D)bgD0PS39GwU> z4;EJR2-D!Nh3z`&P}kJP7BGk%o5Qd zd!`MkWq{ zhEkrx(t0aEHsCK|$2RMI0urp@&7D4{UuK;tX=9ISFOOI#JIj$5r>{bvL1XTk$2qM0 zjUv8layD4>>}BHQZZSn6mYOcqRydwS}R73StHLxC2Qc)(s`*qH|@ z*64=0^ap`Mm*wSKdE6wRC=;sABO)Sp(G%u;6t&JPbMW1m6~&8KX;x7nNuKqsO2q$k z1aefm89EdJKIb?z|CVF^db3KmRXUGIX6WeqGg8x*pB}Ce0UXpRC0i?Y>!X!qELcOq zIA_8a47Q+>Mm2$N<@jJrXIHPv;TaGg8JT7%mc}8Xp&}-B=oR0CjUl6m9hgL3kY9#9 z5^pI5?S^vIVNWNNvUJ-uZU7Hd$>xzS%@fqgx5B;kbuqeL#NdEU&p&fyG6?1io&(V9T<#9OJ z6U~&@2;^X6EbKN94GAguv$a~>nCI^eH#vg6=TM{wp9v|h-%TLC%fMg;n+^E&AHZfY z$V4CXr9aTjR*UqHO3OUXjQah^IW&Aqm~Qw{iP} zE)Ob8;T77#hL*{~8&eFHlj4~N+iqaR!52=-8Zb}iK;m7wqF3u`3l+}+#E{M}uG{Q@ z>MsuDV;E-Gk6wOs2FaEm8uLpAJ&Fd|P>B7OTC@U6vPzmQ_`+`UGKh*ov3*U3`9-Xs zLKBbtos`t^Evo~*$E*nxC+e(5U$DXR??`Jn>h(Jr;Q6(+yj%_-oDx?WMwDSLu^&aq8$Lss}M=~N& z8AT;cnGG|Ug(O5IJ7w<@LZYlvQe>2r>`nH_XlTjaD^$o(}`W6q*w2 zxQ0tWt40^HhJh4#P30?E!_l=UPin9Q)UM-XW^RHo#a_jSnBF>LvMFGN??7X?la>=0 zX+e^+Z6Ljqge>}1=sbXNiCXw@F&zLiwI-hoCTjlH(4RNR&$} zgzxuxWD^|4KhYZU$$a43mvOc|jI3ckg8f;@=D48=T-2`XA1D&S zqmk)X%`#{p&Ow7egj$fG$ld(}nUmzi7b)}dd-i6&X|r>4b9=A3 zaqt!Q88o)PU$+g4d=rEY?u+EGUcU0(1 z@nKTPIr?YuXXknP=59$#s*}>)&R0qf*xM;<58gSHE)+PwP(W4i!EkH8b}O4_nTx~K ztAD<{$*xs6)o&8DSuR)PZjorgEt{DynRa%K`U0wIf_8P%fj^J32kPkPxRn|fnFQ>N ze#}JMcO31ffco^NF|#%Zj{TzXiqti;@LB7M$fvI)2B zQvpZF7ZZ_4l>;Gq%gL|!*Kz49f@{z8t}1oGzXQzF=D;79IXtV{$~{+=InZ;W7r&pI z`!_mAQX6@p-P7!#85N%(qP@BAa+3_V(iUkC(YORzov`_#5=MFTUGAetMud{S--@x- zYWaTm!A4rz8^$yBRzdlUQ+lfo6SR>DVYhwjEuQRC%4}6Ub;`nkzKiNMQ^v{6*85dP z%E@VInxZ=ALy}^g;9Y zH(LY8=DEg9bZ(6&e&87!d%q+i+2Aj9(R28zQM?ns1KXx)>x0oRny7Yt{rWXU(#mpf zDs?IcG;N_5JiKSSJXe=Np>avF_HJ2XSWx!NVgDUJH?yyTQ2ioXE9}M4lt%;kffUJS zXa)9pwC~WqeIGJRDF_GG@C?y^(CZPiVSgUwu<+W{Um$AySHY8|x5rkWxiEV$ArrSDD_3f5rDJvCm@JF=y zjtXjY+sfTVg%QiAq1$ydFUs9T%UxRuAK2eN^)0g+Ojh=ARUT(>wip0E$;SB?$d*MMyQ@ojjQN@}}(s zt7m#=lhil+pHHM363w7t7pDh6w>Z&~gxn%MOX z;tb=tzdF`R9`v#3$Q>fLLoHW;F3$xRQl8y#Pjmm*@tyx!F5^_^(&?826o!zhps7^l z?3O*KJT);a^-3Z&j;QfBJ=m*}pc)10Z3Fs(7(mN{5Ya9ni#mwPfz(oh4sfmy=%1@( zMyrOcxFvGkKeHDXC-Ybo9FKW=$Ny=UeSPJ)uMx{fT6(el7|3U^VFFOW{ucS{89OJZ zy=C~mA<$eQ9TDu8M?v&9S)OD0Wl%kQH%_*~bu(?>ScZq!6l=l_uamI=l z`}&VM(oi}u1@GIy^)GSQk6B(xMJ06KArRq5bT8S1t-;T)64nn^RJyh7`y>x`^eRB; z<9L+7(FXZlUq+Ve^LtibcuXg#R$q{6)9ZBG@wDFJ+vm@9BQwHF-j27Fmp=tln#m^%9TH@)<@GuJg?H!Q`I@cb z`@e`+awJSAJAaWS1U|l2J&WtCsnKcZjoZIi9k9nIqIlqQBuB8u-!nATU03%co}zty zFum8W)@2~{f|bDmFNIGmU^6ysH5Tti)jHsW;UXiNFhU)~(c z(%BF;^TU^^#q!)i<(>x40Xk<>YuFw+dbA1=AI-^L_WM z7`IO`>gCVKMp@0@DdMo#;8`uU80vO=qgLWSqQlkuW-S|@>DRYB*ZiULO3RqRPpK{| zr;#KkxvpDIJ}2YfemwWMNIrSVTKrT{-HQ%ZN{cn5=bT_o1fZ!yuJHxc-3I#+L9$M$ zOzar9Uyd`9%(ETVGZRYfOuuvS7?T6v8vfZSZqJ_k?T}k?vh_n+E_R-+0?*rGUu0go zyTeZ4i)Mk!{^Zd1l5|F;;&QnJMT<;X4K;}fP&I7RJ{zXusN`1J zJ{D$Bo8aN|>$kLQG{t{Vk-j(#+*jf8Y9F1;=0|#(B*dF_OcY#f%p^a3!=sIr5NXW) z=BMd=xqiO8R?|Ic`a?{^*86-VeOu}GGfKNRQ(4q*sL{dLdic>5VA#dQ1m0bvWAWkq zjsYoC4`&1H_V{db)oROLbl*O$I`xU-(ya{y@1~{*NOF$;{8RJ$;WOs*%6>`euddAM zI-9;c&2XPWpCDoG=zRS{495?(A3MEiQ_6^oYh{;Z>Gwe0nfvDcyeU zbc1_q`RR&#YeiuzU!mV`u9wvx@A*x?7+jNmXi>r4k1^L%$;-Q!8M(WIDXHY+ zbk*?MuVYmiwOT>6T)AI9is9=G(IWdwgA~t&^UnNfT`b5}7Wb0)A%yB**G|iGCs(?S=1La&t9FK#zCWp8 z(?H{#Wv=9P;bet1|#wSOk+uX_$6dgplzO>Lc(sNzEm401HedeYqA^h_ud0Z?*vQMHQ zm}h!36j^c7iSS1yw|q2Q4S^tuzC8pQbK%~GXzzc#49|E|C3UYlD~>NbHj#_|n>?zqNPXLHwuTIbA-4s0h*l4nJavy$Fbqw6{Pyx8^v z^T2$A^}WL=8_C2MgS2t1TL_OZql{l9tQepN7#WlW}x6hur^1K+a%JDxbe$*(=*+wuDUS^H;5EI%E^xZI!#* z5VE>ePN?YCt+)1SVLK2Y9%f1G&)_(9V7-7mTArYNV2|cD&!s>9@$oS+a@`R}O#|vJ zZq9YPaJv559GF5$6iPHiM{-L|znJlO6@PG5`*CS!ai!+-3pam9Rg@W7sPF786yu07 zM0c~u_21`&85HE@891f77Lw57jwD5Tb-otTYv*IvQ4n^4LcgWfxq0?>yWMe84jrUs zc)XV~WBx;#JcX*));+`hXtai~>4uFPpG&yd0oXtrR(cRbNhilkCRpX(pw9^zc|*b} z!mDHtLou6D>#v1*t)s7exvrVi^_m9PRG}L3Fi20qxTL$pWpzz^CbMk83KBEn&S(&R zfnS9PBRYs7o$-@|F2;q|ky9aSHjV9B`2L}QWv6VRpJ6p&-M5as4b%u@*k{n|)T8;l z+nDFLZ8x90C?orlq$N`l>usidC>}A%T?bUtA(RwsI*(KDC~_Qx^u*{zcA_HvF|~DV z8h5ehs!6+tb(5ChMoYb^g3rOzZB9o5^}}tSOqEM&k-OZtcyqd29=#K;iWK@j$M)Kg z`bJ!*pu1~5-V!5E&vokB(UDbx7`-j@JLAb6A4Mdwf?95WJ?A^eS<}JgC@K z19WIj9rjsCd|VtY7ix6X-3WN48=^apmoFAo#mj09eOZlKUA8P~rWB*E3Cc1+(C*6w zWQ9yRUUi~Vz?Vtez$rB9>pG&4w;@_$%5w2h&A}MIP1)M#C!9k@FEIA<6+ULq=YX69 zUS?(k9&_CV2#&4TqK&dHy#-3>%e3`?rt}CKz~VbX7u_Qtn%k??s27CZXS6;0RY3Gv zv#m}r%1Sk5@$H{ApKG}N)jN4#uPS)(887|*sG!R{>Wm2HDlhIC^4OUEF*M5Xz{v9T zmGr!HRtN6&a&73gwnyd+4IcEK8DJ#*`1uo{-yR?I7DHlB~ z*(=kjlpw<8+0#N)l-lj>PN&S)eT*9oRB9j2S9N|NbMc8r?u2kv2KgMAuiRVcY1sP` zq>=X-*jZX=eUieVE%0XUySw0?YbC zIPM?jg*FOAh)Dr8e}Bc$lR)Yg&|T|1@qOox(ZjsV6ofv#B@;31&Ff=9;2(7h9r^${ zL4Oi5TBIn`)~$_Di@dg*h*p10Z5tc1KkBA2gR_dcc5#q=cs z^D&8g(>Ez?S#>Aa9y7}qT@xfa)D_KEl8d>ZK63v2ex-ni4_k^^+t4kcs;nGhDh>tA z5#1f(sR^5^u*Z*3Re^q z{0uXL?j~7&Y%2bdv)-zA`k;yhH;{7?ky$e1F6x9PAiBgM$7A<0g&@W&(9uG)Z68!= z%XstVgt)l4q-5!U9VG4mC_>IRS4|7g1H=|DzjtU0jRd>`;pfy&$UUz$0^(jzTw8{i zA8yO2<_@BQ;Sn_j8Ct1}CMPG?o|t;zqzq-1&@d}fg{M9MBbC14l6T1dp}f8^{*q-q ze~XJ}PyTsW+M3gD#ChU+8Gjx>HJMX11-`vx(f&7ct2M-Ba8=>q+7MZ>`p3%2`4VzQ zs?UVJ2v7l7VztbAELJroF4884sQpDke2$(Se7BDy7AjAf7Xl|H7h8t8RqO0f-y;Z`zrXmiA`aLPw_^7`!hN z`f{BCwDxwL_6En59H)Q{yRJ8?UIJo!=MXt5D5giUB-F!gqR2&4aD! zdWqxEA|@MyczA|y)9m_OUEQ3bN_cJM0{xqIR1A(oov^bUjgJ zWsni@pdhgpU)k9y0YrH3UNk6gXMaLVIPk>DhCeAyseS6YYgqex!fV}d%HBQCjg2L8 z+WCAYr>ApsKWBHLjTKi6DQaEz%%TByW2bf|!prJ0HATgW*q3+C5d4t43ze^tk9bUU zTu>^#V!5GCU{LnITmX9dt)51z>ruTyNLjajP^T>e?d5WJq42PO-@c3N5bWINb1}~< zG=Be~LrS!pckHm4!#-DY8#hC@Pm{irfn6vGw;~`05;`VmPRERpyNf-7jti|NQ;Qj!x9I#9!4z=>7K4#FZx{ ze-b*TH||_6QM9Q2nDOb}w!n{&B`-DP+`PHoOR&m(LsLb%T47Q-qytu=qYkwCB05QD zAnq#{)(@p(Vf*j;v{z?GbSDb)7}EA!M>wcjazM)-(Aaz*=MpW zFG*nm`edgh?k=i(hB7i<3#8yfo-F%ySL8R<6X{u_W~)slM;Be3I(gl$*F6elZ>EZ7 ze}2Kql#_({Lfp6Q>ttkjG8m#PM%r)g%-N0&x`uezhF6Nj8wxAj4Ie|&KgCX%! zTL#7g3O#69B$ub+g%eodPU6aFJ{?8o*sq&Qjd31P3{o$cxjmN4Pc6fOO;6y+k=KBn!@B>Y z&-a`yb%D-1POtCC@ln z|6o0hA`7+Re%_oc{gD7XqMDAZ?uy%#oX`^GI(75rO?i3WmVU%bNKh<-9Rm&ubX}Q0 z{^+XV+K277%a_8yVeiqS*B}W3Ib2tO-|jQRESop?{ru@@sa9%;w&GO|qHrBTCYHP@yj)E0oUyk+ZlVQc8Lwq*Tosi} zcnT2SMX(u^H`;}gumV3dmh98s4+l7vXYD1PrrL#TJxgO$(arAp1c^nL`?MEtsy#2g zPuaVV7Q?5!d=(<9c^T`7ON?={G*6xxxlP;D_rv@l@`h_$>K=fUQ%EoWbGAGgOfkk0 z)sU+Fg^ni3fySUxb>Kh(1}KEYrl7x8EJVnZk|*Z78L0+NOayf($UpFmp|+|9@jd82 z{hXM{R5B*K-1aaW&*rj?6qz}e)G1!cV*T)W-f`xR6BWwc4;f~fqs0hSISpp{5%%5> z$XQfGyK@1DD&IHEoSU5$;NwF}zjccZkWR=~w#3M2?^X(Cy5pH*2Mq;iYbgaoy+1F5 zY8KUz#)bwHoreJd4Otr-q7Oh+#?7r*HSzv~2WiVL%P*ewEXLY~bvrQ{Nu+r+DkNYF-J%F)!%8`T8?k!v?z0xZfZpnn5uQE;??p6cMhfF0DEA#DD{ zRGgRB8bZ`)9Va&|Cm;`rO-l_=B~+7*UQV2d()${{p+Z$G{k=0n4U`@Om@Y$X9x4!} zBN-*ww_i0v`vO&6kHuMoH#h!3;#^uO7=jCYoM?7@7=#9Q|D*J)^UJa`Bd<9(C9+*; zS#eh}>;EqAuD$%!wELglneWv`tA=JmqSxb{&c7%Vm>V=c)9;&nu9{`OXvFWr3+1{j z9->7o=e;v@A%)okA(3t5xjfUq(B<4|i^wRG2@=RG&U_5SC8T6qk30=sEbEq74aya5 zIjB=mKI_=<_5IT;qh|CA|akG0;opL)WN+^(1QNoc?HImc5QvVnr;EnjSwfvIUc zX3iX)V|X&JS`yZfhYy5)>u2BR-J&|E=Ug4|_s8(w<2py53GAyl`P5g(x1Znp&6vKP z{D7bp`;xV&b!U<3>wx60h8WEknPTC+_0zf%Y}C={5wc0F@yx@GdRCIWb67|VDc8zr zZ)cHfvl$*kRKw2mm27{;4Q|OD+z>UM#dO)CBmuy_;TSJK(WSo@J+d#y#9kPrNX) zSIm2?wAnY#iQ2fu+54N_V$gRWj^GE`4=)c-00w_hP;1gzqJrfSb(F4VbZaAJiq7cVpOGs2&4T2$r9R$O(c;vVkLsg**~3T^Oz(CmU@*-mWV*`~?}fuB5Kc2be!^5Lt( zoPhvtbMZw&M)ily)u4`uR z9si856GAnq1W@>yUlS8>zL+G{R8Uxl+#i(H@oL$Ll8+FCCLlCxsRc?5b(}0i_f@A4 z!u-#YIuFgqOYbVnder;dSw+s{M3ZIbaetbo$vvrCaz1+Gl)Nc+J%!QIyE;qHCG^E- zAYiHMrN5Ths^OTr(|7fwT)njWSp6y9xSzf)H*1gX% zf`X+2;)!hyC`P@n-DtyUHqjMYK9kX~wMVz$hDb@-9_vV_`}Us_fp=K+6z_=oZ?R;! z$%DbSc1se4Hf{Z3tSf)&PBL0TiYq!F@yza{bt91*x+e?^KUrM((Bl}e;6B7Z_3%va zzsUhra(LeL`p&5}uv2JYC+gWcCUkReES|bF?cG9 zSlVVMDi5Nu<GLPyPonwIQG-wY^c5Ii@ zmgMo#$eMZ_9Gm0A^rAY$CGhNLL}=2~#Qz<_odwy33?MSRgnnn8aJq&hEZ52IfG)Tw{}{^@s!i;%CD75R09W}K{;pwa~IPhRSRS0D=er4Kk)Mm<>HsZE5LpFnoYF5QNra>OMJvw8QGl^**0`nM~v=s2|W}bpz!z zyfxoX5{D2r>9!)3r?q6ti2K`RzhB8nr(j!*;s|ACw$(Yhx$;+<%xy)7E2s`1u5gCd z_*OYYIY@a?oF{q_sOdjYY_z^Z&BvPUUu=DsokhsO^7Ci@FmW@J%ml9YEy^!$cQn(A z@qVOkvjas73(#h{vymbyf}S#V;_?UD5@ssGE&%a$7J1j{85ovZ!6&M!L2zQ*beX7# zLMTtxdfqw1@Q9>2wrBw}1uQ|>e6*lI=1sm`1ELONPD8K~vOpr+Hi~|~5sSgU25S(* z_l{69Ttdi!T0c%0w8m}FneBi3ZoIohEmDMEP*AP&FHy0dJk-pmtlJAHV>ci|oYz0#CU62*~^1`?G;0rv7y1sOQQO zg6q=1UwKK;18X7@)&r0y2B!gBt_z*3P&E7U?OPY-Yyb-{V#OC8v+cO%45RYzHKvpf z#z=HzC@(L0jlmyE>)bi$m;8fy1)wCW#p&PmSCAXY-3{f{?kFhsdkv*2h-8sVdv~bm zJU+%EX9I3SLk-{{tTZs7x(-R5<}gga_DhE$EcwZBW*s^CL6*Htdz<7*`Y=K0&Gz)^ z(+u5^u|DV{hUxG9W(bso#IsNF?;4H;-ZYE=_DVpy#1-q6-E>7hWoys2Yu5_gjNp!? zr+Y>jFmH2NFT~!Jm6iP&ILs{nOihh+7EB=Dv~hQVGzQXNA+fM1udy|*5iJ8ldQl{) z<$}ya=yPP*Y=dcYO(y1B=EnO)n z408E64d;CR_KjH%M2L%`3a3ulkQxpX^n@1D86uEeD&-Xv0O5>x>#bb`9T!Z0Mphpp zLWJX-5yMU%US2H3kbGw4I)zJv0G1~}23&4Jd_435FGJfC<6NZNU0uB%+Jw;W8U@Xx z2cdVkGlX`x$UzxiN0gd|Mq5)8#xJ6l4Ic&ysCx%ad*{0vYyGHqlpl7k{e3`ilVz%{ zWO#^y{^sEk%kIk;p1eDHKJEgQ!Q;zcJ8zbl)=JD8X0l!p=A)7EI2=~t3`mhhZV7}q z;j|BrA|oZPeB8+O!Ha@&c*+oTVk|n?IZCX?;oQb2%%J-8=zb(IfFLnr|6!>;At{Mx zu=*#+vrWGORTjXGD%t9F)%cQnh$$mOW<&I{IID877WWev&f*qC5OZ3 zmpiUD$g)*RMrn5-%lgB+Nl*7%z~66vxshy~)nY~o#>T?x-%JllUo3kt$T5)2L_E7B zc6;o&%lOS6kGTz880t%4sOlFNzQbSui4QRDc4p>jNDZ~m3gCI(0wCpm=MIQ{8dL0Z z0WohdvgGbUYYaK~$>4o?9u-~`oHr+L>()XqIjtOW-24kw+=7DIi==A{l=-0!E`yYg zB&EVu3?hhHdR}fULZYIr#YgZ5UOhcM`O;E^s3QAy+r+6eG#>dsP3*oX>Zv6?txMw$ zDU&FiuI>8OmHqaZ%W=B{>w9?$O_^u@g2yx7kv9UcUJb(wep4;6ijaSX9wpS09z{ez z*-=(_KRCS-JUn0X3;sbz%DPOYiS+v$HaUjx#2I?luXaLhO%0HPscAo^cN2YN3Nn2B zC%;2`YI2fE4uWtnCgTGu9QIYDVstfC(p=qvg9r6Q@ki=bc0?CjmgRbJ|!CEAH@5;3gLe;8g{!N{6Bsq+XvWvON9%a}b8Y5EHR!yEGIF z+$FolKimzw8jKsrXV7u>^j7FyZ{J=7$!T(bwo*o|2TvF#VMDyP1PRSo++SfK1-Zk_ z@nCA}*rcu-!xK06`*5cV>EzQ_1tJgTFR_)o`9@Nx?5T89YmRM_eSp?mPCH5Ucs2jS zt1^QA|8mU)s*i?8oiAXiyx9Nf$V8oyL~xpYLw!viMG~XGSY<^r%ATWBwbG>6a5=_J z+}aDadvNT+DF0Ylsq$Rx_1DVcVt6{h=S!t|3_xph-4p;5E6K2x76@FHLSP+uHE+P> zqR8n0Xpy!ehyrq{{6VYo<43@~=V_0aetm);1xWcNJFRhOm)q}Ga1r%@GYmQQEG>ty z1ME|3fF75ARRJXt`iz>5?_xB0*_I>sx;Vze~all|mL&LZYPO!;NG>8c5XS)dfoV#NmD>%p_n`b^_}G$tI=A z!w$C#t_pAARtfRtslR^#%Rrc!Y(#k0!!0KEFQ76G^vDFW!YvR{elEUONn^~@m!dVA z`|EwdG7BYdlCKD9|7VXMzp~X*<&s#u$?pzUyNHT_RnuiF%Yn(yG*wleDu>bWy7?P1D zD47iqdrgrv(XnyBw17`Vn9?aY1(w10LJvczw79GFC(*!sxxjOA?vUwPWgg4-UJYn0Pn$q@|jz_`QyL&tGD1e?s7c zk+sg<8s{Xk#lGq>3TztA_NF-hDKF1v=kL~0tWUDn6fDQz-VkDL2+Td zt9w$(@begHsU~*^o4Xxb2F%+I#|Q02#3S(FEp_%(_;!p{>8hjCG9PeL7#TwDMv(W*P8uD}5)9Ad8ASunz_5npB?@tx8+=e% zJQprsjQX{}R5!42eGVHNGIKBX(H&|_vznZmeWd3qKDo@7T{curlPdtPvP(_3M;@7q zOGz2h{vnHfhNT@1FT%s;eub#faX~^=2xgzv!;}Os?u^&oUOKMfODNBT>oxTSz$0-q z>u^1k-CrYUB@IOo6vZk8vj2zWigf4cix=ZVL(nJYld_?3SRW^AE-KMC9o<$3HllJ> zeU5ymTE7&8y!^B%yckf6^oH>b61w);Qmo1D5D4VReQtHb)pZ%IG+2v!NQ(s)NY`I{ zmGAH8R}(23gr_UEt|2;S@kZype=Poy^V>m>E;xBin(M=B$4YPW@e}7SUeGXh8!g@j z?u*y)-AwPEUWaiIyv=@0Y>-c7*|n<-xiLi4fi(;4-Me@9?%jZU;8Z}rabxb4c;cKS zemyd8>N=3DfIUa)t7vMwUJpGkJFde%-Tv^wl&Rd^gJGOohj;XtYD7rIYRl~CQFpZ5# zba)J{Fhj~lxB1^w-g?xool61-LJmnv8o-TbWaM4?|170>@!}?8ud;@8pBQfjL$Q|# zSK0lEp(D3eb}1h?E6ANQ-kTi4*0WXnCGtP#k77OwFnGB~YVc#{BI_%48!hWhFJ5?5 zKK&?Bb)~2D>J}2F`1Op@>fR;dqEWCw&U$z@-xVi9q6Hq?sguRwb zUX6WW>P@X6{g z;7%&STz2=VQa%X913Sks5O#s)HYpH1c76*Xwy7a{MBF)}?P#I}OPH(T7a!s|Ez;Lx z?15y-P)FzK%a=V_#_u;$zsC>(;lgjz&JK(hWF|CUSkc^KS=P2_2-b{u=^+b{a9G_5G& zl6jo0cKjN3y{CDv28p&wPW;~4y@yqG^i{a4%`UITOAdF&))a`2_bkIM!KCED$oFrnM%Ry}Kv5r@Un19o<%|18)k-6w?oMlojM|+epoI%Go*JBbAbHC((oFn_`)5Twu{o$A#LS5E2*V zD{GV@+}iA1(!Yat^Uj^NsE1eFLcNbL{~$xv3HpR-Tb3~<+>0AASf4>9k-Li(V*^(h zpU&T&)fLerN6_Qtc@qv@YtN=JUze~rK`vY&m(%1*k=7C*Bc7=yrx|tl? zeFvA6A9`H1(<#Yr3T0=d2FqSvJvW0Q1J^~qV7ZLxvuoEb-SD3u{-65$mZ09_X&;rn z{}=Jz)M-JWkmdhi=5S0HFkev`_p4`l8tKcl>#a5oW9M#n->@BvF_%6ub1^H;+8q5Y zk@@>bpf-_WD#X5Kr|W_In6ixT<^FS&VNo(yEHPn8(+U(2+38!U`#ya82(X?vJ3qxe zv}n=Ma~I4(AHI`3?|aUNDWGW2YPiH5zl@_ooH3TK2zE#pGVDh30&h~#7D!89{y^-e zVB__o1<)QYwli}YYeW+VyX^0&l^2zFGs|fXjAwo;wb*$m%IJY&h$^_CUZqE_zcNI? zgjsjx$`#~$Z=sN>$9Wt;9Enn(`g`-=B!1WeH31iT}I|IrYbrq$X1yZH_dZ zaBvS>FSGT5VNy7`%wd?gpsoatRiY}}@~+olN`mgkCYNSZzJd~Sf4&o7Ga=gWt3_u| zv#;->qugfWg2(}~$I7%vY}!yr$;IlY!?_bCrU-B`@_q~rJ$>{D9JY0VU)Ot4pJeyB z|9DzTPSYdpWW#o!59j5*N-k~m9s`C4zk6nOcCu>)zQtg zFT=aaC*(64+&j#7w53VhEUh($=zX{C<0a%U`?yZQSB0OK>4G)PTIKFauP!yJno`K@ z-HoqZybzHz3sn>c&Icx02FAv(n0^FUZ%k2R9O& zB=?1iR5`!QxrvnyU!bHx(YKX1ZhkM6%H&mg_{Cdi?Ek^0;&}29Iu0L!=h_RvW}37| z5c)`jQ4W0_`8vFa_)Idb!87~6xrr=75feOKUx{=CEPEa_8vn|Dj;6d zwH_H^__U&$*=%xD=OOO-Y@q1(ZD?;qS;)r52E;n&&~;w?r@b9)gTIU3`1}a9@cTcC%}pdz?!P4(tPBkQvdM;)f5Hcc z<-_{1<9NVRdw9wRo42s=43JV!?8bcdbc;J$tE z3@fjGkp2!8IAi}SEYXWl-X=6tO1|Mqs>IVb%@Kl>sW%%tazW4KHamLAM+^uwGAQf$QbR*Sv{G!kj}YLmGH)xVgv(+xTXkb$ zZ%{7wgtx~FfhX(>mZC1}<M}%_ktGrwJR_(8xb(K2 z$*H%mZ!^A)7C_fBfOxv~qL03+3>zO`WR0%5n!jf4U-JtqG{cL%!DkiU%b&a`(w&E(N5yA-q@?6@GEwuMWIBXQdD zhwT->uHhegX*%Z@7ZGxhc8gjaGYj``)jKq6X`_8D3p6Vfda#&-a_9;)6o8NYr!y3& zp+rkWluM+aLB0F=H-4SMg9agPM1}E@mAB4lL?^*G*yA$A;E`c9fI~K)fIvo4(rGm{ zGMq;TIrNU5oo9hOJbM0IUtfO-(4>N*B250^;_=-k?}Z@IMq^pG6ZMsJxu`1xtG6UA zr+7K0k9!+lC_izXZQ1^3atOcw2`4^v#tO^R0WlT^l+QzBxUoaDW3uA_z?uY=njd&V za~K}z*MW<|<(G5ImOVbF&z>cLT5u!L$Ou^3dM+g@Xo0OtT1ymiM)0WHr&M2m;z85l z=iCf1kN_`5CoDE5CO4z<%aY5LhWn{O7Ylxyd@(6=pbOo1#8JQXi-&H@RNyToyENY+ zmH*8~v3bPivlSKuuxo;2f-#%J0Lh2F8@u~?B_e9lNS2jV1o4>_l!Gp#_=gsGB{elN z)NBqzd<0(x$+f7ZJ@W!#S9`Bv_i(I7#LJnyl3nVz{aeB&ssAPHZTy$QSfB)XS&2nUZ7#H{9(_nT% z59$v}w8qQZzM&?<-?NDb3=sPLf;<(QL5KF?tA2;2PreIj{Sxk4@s>K>+vEEVr%=-Z z)58U?);XL(QPB<{rJCf7rmAWU($;1CSF7a55;*^0GxGWrLZhQO3|x!Us&*rfndaFv zRxb{W{~YBUBgzD*58mHB!RDW9Tfw%TP&v%~&KU$oRF_^e{eaK71xP<|JIwc7T>-iW ziX~D{SjJhQszTDUW4KG*X53IxgBB9vk-S#J$jHb}jBPL&t(OlHyPW><$XwZt75f~=#=xXZ@X#HA zeK!0Naf^xQutK@J)J$w_1%O@Q_yW8W z$Afp5_fFhKJ@b^$+`q84~qtx_3N<{$r$*6g3N&e z9Kmr|Bc|-T>tIw{Tbp3nKQP8msxvFQ8yokbc^@{U*M0_y!V1^=BG($Po2U@k7?u={ z{ZbO(I1)f=?>^4ef1kixCY{_#fB~Q%Op?vOK7|_Va5HT1d|E=+IY8pD;>8&?K0a}` z`VNv!gv$D%k6Y5utUJdUJhOjiv?_{8oE#kPD4znQbi*A%X;bSsE)#~TIpF_2X8M85 zVF%)OR@38>N~m@%op%CM1Lv4C!Eq~gRL$3#g)IIT%_E<$lXA}Z=u_MVSe%)d#I@vU zYB^geeQ&w<&V~+cM?IT@HgKJ-v@9B--d@W&XXETKS=Suw|FT8+xM*yB1VGZ(5%@r{ zPnyp2-DVeCezbuB@B>cH5zJ0r?Tj}<*ilZLI6->b!_963*Fa5_HIku1F>MuZuPX}@ z4D7z=P(62?b?)dD}BS$Hk7-A3DxWEIJ>lBt#Bvb;eiedd|HEssg zh@H-oDT~+9v~NY!r~Tht*|l4(Tic~)G#aB*evHlrd^5`B-sCm5P0YCD-8(t1Q>hoy zt;So5ovgV&fNMW?Zp+%>8C993MUlHFE<`KjvOsliN9elD=RM8FQ$*}EkG-6D% z99M)&FkBURdRFWB4md?&c|h9$Mi7`pi3jA@IqZ*P{e;(L-Hzkdnpj8Ed+z_qF8{;sw)i6182x|se_XQvFZ_ghsg;4UmT6*m zzwLIxZyzh9j(Kz-lZmLR8A#)}{7u5-?lx8-6W_S0hGK<5v;Uc3l8vW3!rc>OD~w(9 z-UwS%6r3@ALzTX zdd_m2$*B%ZkZ<44c9yvy-9QP)w#|(wJPas9h*w@DQDSF?L zD{~tSzDRcChlPc8%$BB|q>T<+`+Elb{b4)(=1!9C7!Yh_smM@t<$R-GX zbZ>$yxD70b4id(Q-tbWuVp-(3Eqwb}iRk_0q1i8gpdu{%0I+%GZ@Z3$Zvzd9l3Z^|+Bo{((IUfs^6f)^r0U6?0m-8= zCp!-+xfwZi?k&^{q3G!-0sWSgPPWj8GVJ4sfb$Qi6a^f)o3r^{sXNwq!GE?9b$8cJ z^{Af-A#;UHC3<^N{UqwRp;UY2m=Nb44!LGqN7sil@1|c=(~P`{OzkZ8y2uc)Mm~lO z5l&*XqG0M+*x1+6o^;ArM&W}<6LY!guteBULuHG+Q#E(`w!=|p?MRyyEdIk0CwleC zhX1<5m|K3+vIddg-I}sfr|vamZ6oIv&YK{oa&S#FqeUVD_~(o#g^B30wI4a8VErGK zGT~sjv5g=)NpgmR)dPs^a;&{|-q=YHdSv$GK=GgpYP;lP>}B8f2BhA#J8OFQ79}z4 zMc!FnV_F)biIu#wZ11@@5lL`e1h>oo_KyFwAp_F6B2M(ukw-4%@pB|(RMy@eR=7@7 zn64epcH=PNHN5uL^}z_*N7jx^vvG{@N?H5thSC-)g4lu9E(g*5iqZu(?n0#>_ZF7; zRT5dpF!D)?Qm-?!H?LP;&&(3OeyirUDE-ZudR9I~_N`}+Rh_A}n@P3P?Pld4Gjk1T z;LFP})c)q7t#Os=q&yXsX^-Np)4<%PAyr3nY7@?gDL1L5D+BIjjx{a=Ri6i|+r|8u zh+hwdXg{me%!C$+u2|kw|Cd;_*+@Bv59(;@8T6RVSYq`Tl0AnK2)S&`$^bJVm#;|d!F6yT+0#rp5@iE$M}eZicC-9 z(b`?Ai$Rn7c5)082Fw)1ZZV*$o>VX40=)HYNFyB`4nYzxM_)s=WB1plQs|)HfwL^x#@|D6Xe^9z3STuukC1L zAiM&=b0-|hQAMzv@*oH^vZsOIdANmw_(nrsswSP*IwE2N`6QG0=%|RpG~}6`qiUjq zwd&drH=h##1Bc|q5LybAXsrN&4&U>SPsYe}0m%at6oS8R)nLc?*da!=j>s0#E2y zko2vst!-n+uS6@5170RD+Ku??xb*KTFK;S9I6b!%O`dQ;BY`!}c>M~3Z)ka0z;L;A z(>gAzwHepMJj)bw8>EU_Kon#Qi7+;_k+g*ZW`V{wI13|kB>~%Jji;%pBQQX;v9-

D58$RdKs6vDkx5pm><$WoDLvs?>o41E>@Ov^GHELE5lKjjh|Vc9g4{ zTP(IAK|%8ix+o2A6#()_(nHV1%6Adj^c#GK)V0CZ*wWI1J45!OhSE$z7Y&L`mSBS; zV)|a@QBu$I=IYOnaQ7T(PSsvrXf4kNEQ(G=jD%72FOmcmE2mIV2HLfw?quGYGy&3C zGfZ0{rU#8H6Em~0#`CfDH_;IzcNcjOS`S+3eC4d>W@d2Gc}#nRgr>pID;5;@SjaWq zPDf84F9nDj?&2?wnX3lvl0?Wz_QY~#Gi&u&W%*C`Jd4BWqrTbt<^7(6C>Z!=x4kC6`xTb;_0gdr*{)|lDYU^k3@a{W#q zXLCThwi`rVZ|MP=1-{Wd#Bkt;9mpwNwnUMnnF8l=QBl!u1?a$WodSx<^Ou!4xi%l& zfr3qxtt?oNiQfRj0O=TS>L8ezaWuGtje5Tj)Qya|qd;uSc`r6L)=o+&7x@-uW)#?f zd)VUIfurA{qDNN^*?wlbanmN}>(@~Z8{2ENX^ZkVQjiCr}|)^4aubgn&&5g5ZgX3}QIn{l*QzbBeUD0Y`_P znSpr|cj#Bxh?5Knq+magH^L7-EF>fc{UFF|Nv~~|t{u^cu;Kp$MeTvTu%x1W(2aA$5iplF2v8_}^kPpGP@Dykt-X#X!La0xk} z0(8rViR6+YAFt|pH14sfYEP-eXMcrQSBL}TSvnxML=JpEC`fcH>6|$R7y2|clAA1q z5_ZuK>jKyXk=oanifv!WD@3~JvQ$>CYG}|nA4GLccDK*`qjeFbrKR=p9kWn5pre-a zmAm@m!-m-Vx&?Opl5L31)zu$^Ofh{OT8j1c_2|PP2MAUPa>a8VTlmZXL);VDjPkG2 zevfgG`80+&GaZ#Q^)JcU@}2GhIk;m6E4ouG3*#nnw;mR40@(FtA*PvJWhxEXdH z&s~xNskP4f>h!==8t)Hovpc)C%btM9eR!8KyGf+%FuSw5h8+d z$c_nuaSGv9_Ir(OZ4F$mq(lVlII8<+YFB-Dp8YquPU_xiH^yD`};G|I95Tf`G;;do#9LxV@r56*0!O0RJ&=;66vU0dSkw}1M` zvOh{_W*bF>`0&PvAPhuWF3?mT2!v*QG`6(VdApVN_HnZa>hjeU_lDhX!;XxP_) zWr&tchvOt_C}-$gUecI+&Q1=Gn$s)hm;X}EV!o2mdAVoV;Qq(w%GA-U>b4a(LCFD_ zdm$BrG_~M#Z2jp#4bEsogaFyiafAM|YD=Zx;!CCT=5Cb;e4>=`;}*Llg)LOy0HOw@ z0;e7+@N9aiE@NcNd*{GUotUalUe728P9|##!1|l^HR_R+ zG@C3sq1T6U@ID{d(TvPe+5 zvaW6f-;>V2;Gf=1=F#x*O-O|C?*{PW)RxE?iQ^V9!@-iTbIST>{+5BaN>Yzh-)Sn= zouHmaF#&1>@>7*5M$#;Lu=#7f^4dhb6y(6>(t@ZVW;L%Z9mXNY#CMZ)KVRQj4372IH`jCpw)rA%7hDUl_zLKGXr4bcZnH_oIO{@f4e)h(Jv)e*Rj zn!8A94rRu5dP**4a+DGGKB}sWA5si1eK~A#VgL`ONs#Dvh%q*eis1&FPT_nrDOu7= zPQ99~%TJkcW9v(cdxR-Ao!pUvRImRK-I{l4~(y+5Qwsuc&>ed}f8cCl4I9-}pNfrA%%sYTYSuY7nzdaM8^zyo@yR zH&nDH_2~rpo24`sweQb&Nz}BZ^5m8%Ik%;hB6qc_bQe!&tl|DiAe%)!pGMx!V|qEA z8_(mRD{DCDGj7rqVJ%)|>~1zz-gNWz{;bt8d<)LaGQYXTVv)x0j}ETsRndG74o&lU zqGlt{@YNGx9adj-vAtmQ+Guxo1n)6FKgIS#M&PkMgITQBG#_qRd1XYQ{Sfthmic_@ zKKJgWB_ifiL)>*ZwA^jmpupaLaRHW5PTVIjntyE*?eY7lnGUVRlX7Z`$~yzEMVTiS zxNP$tKIeY2=HvD?0on5cGjGp2UirM}ZidpA;^AH6j6L5!sGt87E#xfEy0gDN_rRA$ z+Y~gZL5O|ZTj+-?1gVGa*mz`pQKoLwv*P~k(@O)_Xa%|-XmU(BElB3FnDl#nQaJ`R zVbo|jkAehQz%YZP?bGa6aF;EnTr!1v#p6mJtS-E3K4)C7=3|G6f7+X~-C`bDnX99l zJXZ)Wk=@kze2Z&sN94+$zx~hmymhpA%_=qdwZqW0&*fA#PZTOqVKaf<>~0*fw(I-2 z?njNkmto15vEuiaig{c$JEBGpIQ-Ub5v`3IZb;r=pJIMhB~5q{bvVg>TGbu0A*hTq zS7s9haBKtiyvh~STp{u%6R#lcWQ1c;S#kV)gCZIkBl8g1r& z^vK*);jsKaAAOu%L2)qR6HhgvqdhY*fcsQEa&C%L?w_YhFplM6%l*0Zxk`RU)}I9n z6?CTD#JQK&PSoTzD&t;y?hGlBuq)hy0jpR;afG>-E@LLmOmyPD3y~#m%9Jwqu3;5# z^RU-&e}h-Id}gBMpKC1A6~*`(@&HOM91kjkdmpfh`8;es^2@M_fxJepRfCU#N|LEQqyn4UaUD zR-qoBF|Om026l^Y3ym9i6o7%?cSqTMlrSl)P*J><>J%is@WG1O5wkvoazE`;_}>DL z6SzOU$Bdu#0S)>1g-1yo-aqIKtl}ue{mp%+jtWGnbDv?q@et2F?#_x@SEfdKe0+zlJ=bIsHi~p44&QGxAU0Z zxzrx8JZ?kb)G4}xFZYh3Ba-O~pqk;Q(c$@Y1*<>bM%K_3c5uJl_*b2z{W0#Jv1xod z#C-AK$Y^s;gze_;<-`u@1w2FCrC_8Q$xL%PN){-rGI`f@Vpecrb4C%(?1W|3o7bD8-O-<(1wgE(!; zk|o!!T|;L=)b;DOx5~KtAhB}wHVy1y^!`KonvGb0WkPUASJy*ivY-szym2Gbrl8(s z3Lx=WG4=Ygvb_j#k-#8T{5~>Lgh}S{@ird(+#?p&gW#ca_amQF%Ph?U9XfzkBIwZR zSgh)^&))t6(k<{#_{Y(W_6#rtG#(|WYuCHIOUAdBBam!uyj}136MTPO-Fpw}VI)T*o7^;7$)PlSW30jok(Qk}; zXMx*QP45qnkuTrF1AuW*c-S}PNKH)*iw=fvoyY$A%*)s~(2bpQ${cY{^14BB_tsqx zq*g4;E}P1Gu9GQS5)*zl)g;M7#@PL@`+Q9*_m$h(!-9gJo!J*`n-WIvB<^y%Jgn1u zw{J-8q5s;x#~IlhmaXpX*wa^=rrEYjEnr=py}?k2+KjQp5r0?PYY{ewH`h{O zAC@qc1ffQSnkk+_zQoGjJ~5hfbo?KXmZP>)5cHU|m|0Xn3qdI#_z<{3d3kxHsv9zq z-(H_8%|2LA`t|F6NmfzOkytqZ?jx6_wAc6aR3wb( z?z8lqQZCun9Gt2%@l0Lb-2M9aL6^4BnQew|RQein_)gD(hNN2OyOjgww$QG&`4t!F zetNKL!RE*i*Pd$gxHNt9Xg|yG9X7wK%$CW#ev}Ym?_F{7`<0rhR-r8^7V$?k``&3v zU2abk5ehqY)a0)b(rF9cPdCny{gb2MnfnA{KM|E=S~WDZvr8r|lYV~8{tO8aNYgB2 zvW^`SR}V1!AqD-3@R#<(PT}B;;D~|D*o5ubZnAUdPDxhlQe;VDVq#})FXWi$hd&OQ z<#i-@wc-P|-}_&4OjZ<%{P2F7KXiGld}^cbz(|o|CF{KFqmU`JMN@a|pADQeS+UyO z-DygF_{**DFB&7tiZ$#c6dfE6JV}>J$zSy*C&#d{;a65b{R`+Zq&@MKi?xz5$bTxY z9B#NvBKq_D9a^7uURhux{6K5y)AVhwNzpThQbJ4?-AI#|+`1+0e2M+Eu!VKYdkWAO z2@C-}CK~sgU0k}*?Z={X>8ZaH%97AZA!Q@FLRwn?LCd>$4<7QPCmZYzl;I8o&hfMR z+eVwyb?CX!2XVmvZZ*SE}AS}@j;&IGUM{fif_NE6+1Eypha%j1*0eyC%184noyBVQYdq7-5+ zlb6600gItG*SPVZhyK->gg{iYbf1fLT=0S+%#6_n=QOr0(HHB(OSaGpYW zRgb0ntg8<3lV7fV%1Zifwdte3)lAL$!kA6|0*35!tjwd)pLwK8nawq=YTZZPNvswO zojiEOy5oXlZ1ZHauvTCX*os|nnW+z?^j(G718vp{&vXrlpUP%Fu_VE-cUNz<>2fd*H0?-)m}GC zlZ|coXEJzGc|^{EnQEZ*Aa0F~qBZICm(;g+D;zog~l`g-ba!8yEq{+!0gS5q`&570oplxhvf18DDs z8Aa)!7;rF%7Z9g1Z-sCbWi*bm(C1}ZT6VOgg7rJ%@-*b-v+ud*J$NvH8bbNFm8GRc z&#~iId=CC)FzaD#+bky;$P57V#<{I|tFljO*|IW31J%`Q@eOCMwhge!gTB7*VE6|I z|4s=iE7Z}|g`CQZmKF`Pb#nIpV}0j1{qv^$+)caREvswQD}@j4uRs7uarP3_4luHV zx7{JRzH?7R9&LuO7iB+_#!`>~UvWNj`SRt$HnL)e_5$e~7P*1{4C9|qbI?S0>}o81Z$R15z_p_uCnIm?edJ+iEZhX+zxld)Hc{-0#d`e^9&QVd|G zMzS$mV^_~-qWNe7npaJuu;%DooGnQJQFPs2-XBbUQ={w%&B4Mps4sWw_ZKbn@XV&s zgx5KpL3aht1CF#Pq~|?6#Ds;}W`mnaJoiBW&->qiQ24c~)G7k+@)`jzmR-HtkXDTr zd5mF+uG^MU4Z*1n@M8bebr5A--*8|LaQ0qrvNjA}?j$Qz2|I#i@oy?h25C9Io(pn^ zDFR6#GR6qFb(fMCKwajFoKs4o6cR54ZJ0 z3m-li3Jd=I?+>GM7$bxHRm?cY0O(m41uCnnH@|%84t@z@5V>2#EP%T+EHaBS``XmMS7v3p{W;+@Xoc;b+V%!z$qezWb@`9 z-L=lpTZG3*zuKPUP(`_XfEcERhDHSa_U+pyyW5}wz~ON2{lW|=K>o(Gc338sx1S&X z?Ahrrc~WL}e)%FGs$xiM|L~zIZJTKKvk!p(97jSi6o5Z;{*sM{?yPxs=88#U*4YzM^1tN$@wJoqW>)x*&@oLIaQk`Hfp`3%?0wI6&#}9c>JYTL& zNz2@I7cA!mgkNQldg}D)fp-?4LVxE(*Y}^l$hNpO&{DA8p>%rDKrs-}7Jeb++a324E?-s!JsK>>70Z`{rG?s6 z_PcC5QqSmhy5=Hm7_ZM`cG@y4@BaO(P&4z~n{8W!iqhFp0Re$UOf(r;H=}c>geD2X zk4*uuZXaYH@nv?at|=C^Q}m@Q*v|8zYZmt{7&n!@e@!X zi=cy3dh33Bl7+e3=)26_%UB!yd!q9k(FSB;Vexf2Yhe)WpDQ;_(y^ejHKth>x6EXb z?R0uLIy-|cXLvm{OB_XY3UuDQo&G=h$b&^$b@fWQZi6=&4@Z zCvSeLzrVjJ7C5w;sw&iIEF5~POrPENa&<*d(Id|mwU!DLTlplAN+8U$jrElKczQz?!ZI3ff zGJ-nk%DTp!9A5?v``s(L&Ka&93W)j7F2UtP{S+KWGw0fo`zG<%iA z$Hu04?9SVNnZ5@EV{*BX&{4$mo6iU*HUHfb_6gD@>4O0dPJ&l@#GdjqXb14YxKm`T zUXAypR<7KPnc2=OHL6T^?dt097ncCb^JC<37Hfl=nn5297+8=nC#ZJk`*fb_--^-_ zK6pi$IXb{})lA7!NxcgQHKZGrtpL|ckH#xXMrL1 zxub(9wVB%fYUcF!phV$nf+ID~yeR7*i;MXesbufItb z4v6SPv}ZKsVT=fB;T1^XVTUq;!n>WXA4b~I1w(P{AEThxv%BT55W+(;OaKvr`SzL_ zIosKeb{_T-C0pnw2VaXUu$S@ zx4(K}k8LP_%$`ylZ_I34MI?@(NC7V-uF3&HI^y_oFjBS$`SZX&;63BzX$Q&kLY_)6OTD`QF@a`!jaCS1c5&7BpAS2c`~eOH znMK@nNOWRyU42Ex3Pr_xZlV#l12u7DZ98RSnqF>$GDUuVK6ocNZdR<_9eE2F@fU7S zOd$JQjCiwMW+Z*7l~ptRo1UH?p@5(U2sXrz!9nP_`FOMuyB4`UUz+>LgzT zIpXM30y_w^B1h5e4WZ&C!on_IUUn@%j%`l=-U!8mK*--185ynO1(|&Q%==TMV_}42 z8ag%JhKwlT@aN0eN{HHnp&db%wm+yWbS07LGyt z2`eJN&yN7gTc}MyHl@P3?Zt~Nzh34@cIzt?HDaN0MzNcQu=}BvKJoiE`YN)5Zu)S< zFTO4QP~fGO`(3Lf7CiyzZ@D3Bx7BOZD#wMGKv35|L(UhPOIU+T80UvFZ(ZIA16Zm# zlD44}{%|ue0IemVp&%roVMcCMBJ(^p9vzpaNp8+o$FVxS~V&M1qG3m zQg4x}y871RGkQks9{D&rJ~-OLKHC`QX=uHDR$1eNoSbVoW}rvO77Ll#XxjMy0Z$py=|veH)66Y)AVyt_n_IiL!pvipLeLULK91Py(1F2ZBk9WS zr4xf;mmNks&k%Bi-J45C$T;!DekC`Ket!O5ZS8-m=iz8DX)Oh;C;Jt~eJZ}bTzp^N z`IV-~^l6etH}Ni4Oa|%wlZ2z-A#q89dkNLOD!SK(q|9VH9P~6e>vm(j{wDXYL|5?zEyaKrp zlXjce>Gq`~e?E?IJ4Ph_p|equc>g%7NcYyIN)7!yu>H4o9H8*S~*a74_c#ix_*!aeZ3YErQk?y7QmTLbK6jkb|2!l6_dnliilH%Ke3&Y> zZO4uWxw#&Q+tQzz^a4ZSc9g?W-nn~s?T9yMl&8S~2s`Eg{2o1sXq8%9M?n;AaumiG z`3(+dR-Xr`kw|m!h5cAJnnzJS72-^gFFzr8IAFrDgA9|dpSND{`U1$j2+3ch^F*~>#EI*~y@>?m}R zX`yu`O&pwFW%M~x3TFX}Vsc17`qCv(Juoq;fvVgO+^OTfePD^Xq1lU&^3W#zGSCBj z7nB#sQ((^`SR4EKlicQ;H`^^m=FdL>{-oqn7*=O5uk0U9XaYbcI!E$)$S>Ev8C#Lg zg+eL;95RL$VYbFh%{kU@XZPQefEG!yGABarQU)uBj z(Gaq@v;F#p`ua3}{xd*qpe}yrj<>IGZ*|Hu*gF`^Ti+Jmz6#uT~%B%cUN zk+JZLDCuW618mu}X%jMgO>}AEC=&%HV8Ou12usS)@D&_2YBva;U?9gaU~q}5&kbaM zz=*4he`Zz81h|Cb0FA*1q-E2&?v>%q>wviz>UbSQq&aSZpBn1jjz6KiJQ+0_@*7M_s;e^-N);yasM7%jF%xfgK4BzM&gB_R=mVyCu)#s)L(}v>@r6 z0x_=NLi~~Jrp^+bEDLP+mTzb^f-&+%0@fFZ40%NDVL^d=Tx@joYO6fM^C+yR10dc_YabYB%iO(= zi0*s^hEQ8ui(=L!f|7&1^>SKTQ()p^n-wGbnj;5sS z1%f$J`U%9(HP#R9-QAnhO;`45R!D^WbU=j5JOS3QA;zR)_Dqdt5h#C{+Kb`?nzc;Q z%@A3OZ}3j+PY`u_bL|ltmLyq`k#CVhpo38e>H|0{AWdR*_G1$x#}yjq@I1D@q;`H9 zwa=i*bS2A3S`aOhG5yI16Ai|_0R<|1q~y47rB$OY*VX0HG6~Zn#B6A6#5x$rVXntX zdNNWJJbb=JwoSo`tbG8vOkM)SjiAF3=YziL`4-BOyJ;B2eLgO3Wv+0`rY<54<$dsA zB*fcQkY^igHda$pb2~mvv`9q?`)xO$)$_&sbj`(Eu2->e6CjQ}f)1Nk0s?EEah8R< zRy(Og4eZT9L;KykgqNCAR{Q&)M7*FF7XOw>dd_JdU*FVy{e68CAD-~G98|;9Z`W0e z63ie?aFV-TeycR#ka8UjKlA03RR4 z;K-(v#ld6uJPWEB8@xX-B%cB;9x+MPOHmD-EMz9pnE);B9_5`$4Lv>rYp^2itaN^B zV6U8{4g$bYBgRR%+}0UPwB|SG#fZBoiFE&iTD0HhK}7T}1+Ge0NLIi+L2S0=d?_G96`^a7- zy`(LiwIOseSl41i|Cs!NfPn3YKDKUM7aR!)sV01LNFXA0Y@`LuS6A2Xs0_)!9z2M) z>>ZLi-rnAhv-qjGB3}>=7#bRQ2BMF`)6vn~+Bz6^v}F`0MWkrW=_F7pk@Os%nw-F; zVAq)^K76p3S+pf+h7@Shzo1JE2}NA?#q0$uexmb!v7%0s;}3l}L?NbMUsK(;zoiUP z2MPV*OD+%*{JaPT58g8;J&h0jv|OwhIoDe2E7*D(4{_8~ROUz`)ZG0>SD6^yqJ`b@ zfk8o{ee$_LL(q58jUp}{I5PO8WfmDBa_Uq*oNCGBNH*VX3$?VJv?P=CGa(i=vwVPk z8k}21iKqZ=e;f_3%|E~|$%3hJ0e2mF3II@yK?!M$!BduueZGn=2DEVU(P;FkqHAY> ziFi)$0~(HA<~vB}fem^zt8`aNBb590<3|EO9mLAJ->kUtQOG~sVhjj1a8#hTaLdDP&(VQnzKJG*gkj#)i(_QN(LEvPLZf&%!aWw%(sp zVwqJhW>~)7>`B%f$=EeEvNn^OY1KKdrVMv?1B zrCHtq0a#ir*c^n7^41T%k#8g9(E?xu5NB|7R3$JL(QR27;!;t73!$I%F-T7VkKfU; z$IEK~A($WBK8$TO9jcnh$XHQOe`q?Z*OXddQ zm~iu|4MIRjR$O;XJ9GN}Zf3is;e&!Sc6 zeV6Ae9ITCFpDrS-gyBL`0n3|i2Dg0(kDTvnlx2Z?-8rUV@Xr`pEA-+r%rfrWQRsWE zl3|$NT+lirBnRC?(kvGcd_aj-UcWC|=^*?jMqD}LEc(mOzIf$|<&zkMJ^J#id+%cj zEOza>G`f<9+DBR}74E{Vi>MG&%%lO+#^E(T{F)fX?bCikmG(w~NSByAP9>C#-hog7 zQRy86x!{P@wLUjkb?|%@?_0(U4_YZ?@K~UT9Z-f!hC}{lF&8CcocI_KfxA0W^QB) z&>gQCJ8K>u*xP;Fp)SMx7|$ef89Zn&0(uu0m)vJ_sJXLIZL{A4y9$%`XjCv8!EO2J zMM!Hvf8Y1wukJj$xe8vGy3qPrdF51HQLr+9O@h6XD7-5@Xkj74=Y^ZR#R#*qqD zIDOL#w@0QRm5Lp-7eY*McR1naJ(a%$W+TP2I_oK%JqQ;0%XkoZ0r=HGF?h%m3KAgpja;$Y6RrPp;IBi|8P5<9UVS+t;jv>3J={y77lxfT0Q9kLinyV{&iiq z6l@GO`6OaNq+hQQOhKAsC-Veq6%!-bp)GjH*m3j3HzGKML2bs$z|^ip{k5XP2|sYO z!I64pA=ma(oT5HzP7Iq$vS4?x3Fi(tD?lU)^1LmRH8D2e2=ebtEs_dETT#17U*~${ zDQj*7u$L8z06VA4L3tJ=W`62h~TjYsGFazYn zbLQ0AS`Pgl8xlFI7bJ1GyL%bQvN1Q)s}p-`&cfBtU%tHc;hD6U`6|})w{O?y$Dp&$ zVC8}yH}tXrL)g`5ZXVE!*gq+?bLzK{Rg%$aoBSL|PX(o?|FIx zI)Xj6>N>Oo04Y%%1hKAr=?)vb2^>QqCImVjf6E)e9V5rzUz_$Cd!aI4mt~L&epV3t zDS9-(MS~xQIb4sKtSy>20x&U5?h5Hb7NRsUF%hXx+Rd8}6ar?gG_%lj%9f1vz`Bb29lr~Is zfdNZQN~Cp25(RK5zO~Z`#${AkU}(xkgSlAQ6e*uhP|>|c2;DMLR6xR$|l*NvbUz}JxW#)QIx#w z@jI?Q-|z2nfA7cR_xt1i`}Y2$^UdpZUC-+|&ht2r^Ej_N>Z;1L+nBbINF-X7(~6oT z(xw+A(#8O)4fu@=ooNpKp}cffS&_6({FhXj9zh}& zO(7edH*WBD7*6va9Z28rqsqSur((Y**Rtblp*5s4dOibAWdh;z>qD3u6YJC^pvXwdixb)b%;C7)+ zkFK`%$FQ-+=*xrkjGta!uB~wYJ5t+`cHVPsag5pcR9=sL?+baK{rmTyaGx2`eV%yr zsBLdj&*W$=u9rLb(NOKeg-^9?zK3PE)6m3;T)o>g@VTm!<;Is1$Nn-G8|OVz+r`Uo z{5o^?Yy_LskKay9vp-CI7Ek${xbpD<`^nqA#WH@L4@oudBj3L_$4m7zG&GF(b!Y44 zg~=>s6cy=K)(5fqWE_5RrEaHZ*UCd>R*kHep7VB|Iw|7LKYQCQuB$D6y(bh|CcQMC z^5}W^!-vVwMV!Z5yK|Gd4jw!h$)}^O-8+*bWK@z=;j+HAdTp_LE_LdKsW&-_E4$Y* z<4#zZ>)i0w(fX)*Ww*Ic7Qc*HYAPK9=>0lMJjfGG#|GmP5(Zi~WM*d4Nzb;r4tmem z@g!On#_goLPD#t;{Ohwgdw^=Xl;_;@%548fuY0zU&YwE4X-JIKW1QWEDFi=v?zCAK zUbt{UMMZ_uUtVziXMW4quU}ccXEmgBb~Uq0OIJR7rbuFtX{h<%g>G)#5?MPx;F%{$yN&(n)2Bst{YYAFw zMf2a3ULR{tke>YYi)GiYj`2-2xZqhewdxzcKD+c7GqAAaR3)9&(9v;OoVmLAGAv9@ zPR@`1pseircw371((Ik!;3vWt-^`3Q1kzV}&WDDE9yO>;OXC(56%`Q3DJm-RoS(v0 z_)8{>oAO6k+t@^ehdVhreJ-%t#lq5G>FN46z4=j86c;!5_pvcgH@AR*0Gj<0FWNdI z@wvI57wG81s=SwDzU(Gny>jK*vuESvrKF@JJXn$a;6Qlc%*+g~Ia>Sr_3LY&3m&rd zbafe*Iji`5Njo1qG-P%)3e)}SmB^xF&~_FtZ*LoGYwX3*ojJOA-fMM+J$mZu51u^H z*U{-Jcb!g<_B=`s7>S9Ap=J=ga`oz-J$nK%p1{DspdcGDrb)ib;aoWdi`f~OeHHWv zIXM;6J2I#4w0T zONwV+`mPf0{G&a!v9a;XmoI*PelK3UuLOK5Cv&dto+N=wTkX8E8!E0z=Y;pNS&sHm`LNmyN;FTN6mCB_u->*W^M4_3KO z4;Yu<5U*ZIJ^NTSQO27*(UoglZsNO2zCZVAWo1PxUDdeM>3vVnF`N}{?hjsn1%-rU zy%roUUc7kv^hbCOflu2X*;Xpm4l50AcF?*}b$bWt@Za{cLcAM$Ru=!B7ZknxA!M!k z`1S80MwVh7Cp|otuqV3S4n0$e5Hu<=o7r5wG?6{kU(QS$d*sLw*|mj~w($C&w-kaG z7To+_|L&+T-@k$9`X>gsh^Sy@>VLZh3?NhL4Hdodz!ZK?-8r^XIPSKHQxOv+9e}T%f-sd+L5j% z#LsWz%pbjOz@?IvoxMB~q2@6^b#3;w)Qz7D#nr1hB_;Z+)=Cle6^q|vCsaQtpA0G< z^y$mk@SP`W5zZ$>mDX~wYSnaY<}tRVl5EV=f`ZxCTiCRHKj0?u5{_>$RgZ;C6X43* zwiX=gch)-D^sO;k^w^+Rej9h$=p#dX@0?&_T-*t#k<%#)47+z1z*pXmna6@)Q*~1N zB68qvFC8YuCAV)Bz9UCfbNsn!waH?ljD*C(&rkV#b2A3c#vZwRyYAafIFQWTT-`h! z0|Srg%K2_n%_BD5hsn-qN>T?~PW%m-Nq@yL(&i*}R^fL1~?FXGziJ zS?lA+kH5W5YcuXbNyDgaVv=j(vpo09JhUtzC}@4AK}gB|;e!VU*1yuQ~@R;Cr`Hm~->gY7Z9nVjm|AoajF-ceq<8Ekd)KePkuwEpNE5NuT|2kwo4>MIjM1GIE9N+$jN;kQAqi9ek|Lv#V_0m*O=rx9*^dgm zeED*eQwsCOT*G2jcjeUII7g4DW8DMPHL70|4xnv%lx=+>s7?1*U-2|fc)HJpvp%0K z578ejj52t6w@z+haD7dWcR%0~oOI-9>^`cfUq44juNE{#O&73#ukKFtSyEZOb@S#; z@8vo1CHL`o*8vTa^DI<*$ZE%Z)>r4FbeOgUC~z7(ITh3?`8%C1vzmCa;l`OCF-(m?XfP@(9oFhSXx|6 zO-tiz@SX2>otW>k6qELx6O-&&P4Jx3@C{%vaeJLn#I3y3<$!H_cfQ?zO1b|+9LY=N z+h+vdpFh?w<~sES6ZGiOBc`0IyQ#i?{kn74E<`>e_L$X>Qdb5%r*(7*x9y>J31Mi) z#Ldd;N8s1hq7Wf;$aZ0hvn;Ao6S{)v@hvn#X34VM&I1MyN$djocWlY zSoMYNtS2&l{wT8P5oBkV7ewrMvBX(?k3pz@6uVV#8_tdU%7SC*%2=YWF55Y`@6i^K z#p-MZKRPoz<_CREwY07;&Wygl$H44ueKo42L?ZR~J)x=x)cpMXUDGD(q`)1cPr}mE zEv{ZoHL@(&CF?q6RO*E=c4inmd{jZy;t%g~B>dupQ;J+Kp4h%>F|DHFgsiOTYUQTQ zo1^n8I90G>Q4Dq+Y4^RhWpk=@b#+bLH>>l>s*|%k#b05x!6 zaZ&nh>>D<0D7x0CYiw++tv&nYdP`=aB;o7&vXb*$)>anlCl8xe8OglX34c~R;Bl7M zcjTdRFURN zrCy7#mg43<G|nGgPgWuUh=5>z`(%F zjuYg}Ckj+4t698SX&JI5MsDypsqe;XR8>^&?9@7`pwQ@B;QseJZ(hFZw24aitNi>? z*{IShlyt0zg-#&yU%kj>d`y(yT8xRDs+F3WI&t0+NL4fnk#e#vMOl&fdDoe#)urbB z`}LOkdn>EczQ?L}Jfqx@yeFsgu1?5?i%w3jX2>oW^;%(46J3Cm>y&n0s%n;~MYFB5 zq4;c}YMg||njpYc=U7no^cBM2ry8+Pd3$+vmKGNk&E00UQ%_h$cpY(yxc>{OnBF#1 z_t8BrQJwy`HK;SE=lbmR_WJxtecY*5NyKH^j77w*M#Y`dsE0 z;<5H(d&<+NBMRi>D*(=-lA|W^r*QcA8LAe(-a9kQ;`$}oMCSPM3*IZbTLaGbd+3I| zC2^{J{m?{;yPcRgXlP&Q^0W6PK;L#o;hK@dH*|D#;F_#$ZEam#TvjdYt5Un<({%jBg?m^rLOMBK;?4W z@#|G632tBSEa_+t(tEWg$w%{@I&}(o;9+7t z(!iFMV}IK^gAR{)-rX4|*VE5F~;P4s^$E0dg@Fh9kA&HQZ@zzRk->ruHfcAJ)&sm!*; z8aLJ8Vf(X8Ifv+Guv%|eWc#rCUS#C%MPaL}S4WW*cRr35pEW-5yJq7=ovrkV6P&ZK1$EzVbDX_m0`M>)-1cT)O!yLOS=DaI2T7Y zZrT2kS$C1@smb5Tj`S7;(@Ecn@3zv^wHHaZ`cz2{k{f}6gw1N;KlQb>omUp%iNe?b zSK)fAoJQ}yYQ(UR_;#fyBJ>%j)UkFcdv->q95l!|3hY0AfvbgzJ#wS261Bd_Jr8U* z8_Vee@-rio!qiFUMuN~x3-}QxB*$}~0t+Qv(YE4@+-??}1@5~HP z{7!|RgVm-~j=zWG7c+qv(w{xU4o*Q9dF05SrO7sj+5+c=<9JeJSI5c!_b~f_lX#)cTQBzrQ zadIE_KlX-d!inhUXe(jH!xyrBIP?;)2DiwMZ`M9`w;}fie?E1>zty{OAVX|HG$=ZY5m$vU?jJOSx zbZ(b6nfZxswvJ$-03V--`^ex`>VXXX?Q{Q#~Cet);mFY0jw`_*1J6@WrJ&N)^1-?je$zdcTf(2nR9X6*yh;EfnE#E4!d+mDl&ieT%}U z_4V~Z#zn;*WW_vg6-H!JnvX7E@PF-q6T^DkNpVf|(4q07K09WSD<6~O{Xv0r_I$qZ z`mXNhgS34O4g7+Fb~tr2TjGw{4-8a##{QKL>9mi4$KJeo^UODpV}?#!+#?HkO2>TkoVT7DhZCFj*b#oEo#f%G(RB|MeXgp6&;0#+f2Y}M*Z~8}Neau| zfCtyzkjB#OmpCAMl#xbBukB-})D7-D;R1DRI<-U@fq(~`yho0-jb|Mv|Dx^8_twXL zum-Gacq}CAyS9Q67ukL~Xez|x2|(MlNr7GQ%9Rmptw4Hg7zRNj^_CtzUEN1do*a^$ zYEL~29M)+OnkgHs;QcjvY#}&m#ckzY=(J~jAz1|>7K4uSs(RZ=Ibfnh4 zlKjXk#0DWnfoha$7#EIWqqZv@eRSLI&c(~vzxm;m%Axxaq*SlE&K35U*sM(&{&NF{uFlRw z^U`!wR1!WbB{LLJ+b=1tn&)}tKYht2j@=hI<%OI*`o#M(jhRnFV2u>078Q)h=j9vf z>nGONQm6c}7eQ@AFBYr2UMH8vzXHNIG&VvkM|#J;`@Y;X7utUB~0$q6H{H;kGrN_8U%_Dg_(N% z;38{L`VWsjHq~9*FKQmrH9Z5Cbo=ssFYYUtdm{MhVWg^CcRmG3ig(Q&}r zMvTR36sH~=aCkF?d9w;7j+$R;uOm z4&Z{#W=(ytosmVa!f%+s2jf%((Xp8nSUy}z==_(hJdI|i6BDEJF*i^1n0f$)-rU0C zY`8Ph3-1AMjChqEtx>2lv3v(;T082L)Pl*t>CASQ(+r+=b7du+#1nF* z*0Y^BRGpJCi*r#bi-GidxkeiGUFB==Na9%`P6=7`3f>V@OWiq!>4!h%nN|b3G11%x zH<@7{%oDIMX}bP-e6O&3-&TGD@M2FYj(8)@D?6hmyIP>BLl&U-^70z+p6>^V{_fp7 zpcVsZ$JFRPRX0yhf>VR11~I5P=+W8Hp;a0iypOwDm%RTt96N!dv$FVvgop&Xt2RP8 zgfY1yw9T99?c2B2K;LiPya8ECoH^d<_SAb$(^?Vt1$cOrOFtf!kkBu^r*iFD&QfzU z^3&?Ymee(NrIfbAhDAR?cmgnxdD^w@q>>Yo{^7ECc4Q+_wrO3~AXW8Bjl3gKExE|c z%Nx#V4D38JQg>$Ya+q{lr)hjk5Y4{u$Vkq_!E9DRF{UPP+9Nu-Mx{?>_PBq2cL!Ka z=+L3w633J!*G9maUw*pNW=Fxssm*5DFrGu zH8pZ`8U0i6!xPN+Kmn(&Rm^eoW;1SH09RZ4;X{^dcOX5R_v}M1=K68Q(Bk4^&12-7 zOzet8j@&K&_g8kF$K5-3qEEOxVcT{(-Bg!3uGKU`gOo$?nltqingGoXg6o9QKK(5> zJw5#uFIb+-osZ6m?4n{8K~zvW7TNi`$GS7;bJ4Zzwbj#mnVGXILNyN9enh0rd)}^o z*>gCMA<_v1mW=lj4eJU0{*&0)*x_&-z{Pj*0Tqh745MSy|tkVtZOWLCwnm3QdgW^zHam=~=v}B68{S z<@-~Iu4#glTgv^a#H|{qZ)lip;xj!^X+Cw}m}P4cI1uK__d?Yxn(M4I3c*J%f5`A9 z>*dXWX-Q93OYgGAk+B-q<>Temm`)Gfe_Yf3jQ7h_`bz^9?n=b5N(2d*V!*}2b5?+X zDwWdb&F?>dG}y{YL0U8QZ=l`$ziCD$8cK2wLuaBw>GzJ{r2%jJ2@HG0-%sb_B>v!x z-?uxIIh;rKr;`!Bkd0O1%S^jm8(RNeXUm(dySSfxxrB0u_TYR)@&{cFjf>{nlYs_* z_LujBhu!$|m8eGa_yz_CQ;|PCIddSA(+WVx{Ch>TjCWZZ?dTx9#!>`j18$S%ge+{k?f-@E_f{f!&N{13QTawIC5t4@;f`U_cO5 z05z2wFz;6p5boW-uQN?uWYzJVNS{?-Y3f&UgeN3afvimtO$(rJYik3yz{k&@|J#Lz z@-247KGdrA&p((JFShF7j%axN_^~XxQ%h-|keJvk!R~5!XzPg!3aWncL{8v^>?}Jw zo8V+BZng38sK%+A79I-tJu?%79rut!`S74(I4AG1MB$~K$b!0xX?v@@%iHdLuU>`Q z%L)rCbUSdEpWhRlM${r5a>6N4XNcz`V`JGVGw^y%)v70Ns++qLEYs}`$($+#t#FL> z>bHjT8s1_OhY$a(oFA~sD9_wD9L{xiJDbe&D&}FZlk+XUYaM37PX-n5-mcPB2_JAD zV{wt37_43glh3abF8N8&q(a|BpM{F3uH;p(8A$V+V@UvYuBQ|q?dauHL2)g@22oHteG-MKI zR8$bI$^ku^8ruaUIDf!P11}?|<>Y+V*q^-z|MTO=4^V{IEqfD`4Yai*6B0~xbnwV~ znV78Wcms>H0o@G^C#R?F$w!anp;jm^URY2d#>aPtCBg6!a-Krwxj<@$SFc`e*tjtz zC8dexHXwb1Q}j5dcBJ$g=mw|j*H>3pQRuwZpTm95CkLn9vh)kW>Tf8^KlM0Q4o1ejdRxuna) zZdTTT@s9@rK4LF^{5bx(FncMDfi@FUaQ-|1_spL^4`pK(M{R6uQ2oDq_pXA1!r?^H z^HW8veoIsVavUNeB722QR>0-~hX@D@JG4Jj5vrUGue&~W1%YnFgkJjl~Hln)W zyS@f5;0_{vtSMH{cM-V*YNzWUZ)UcNg20W(i9|j3oQV=0uF=bIENx5UagW&yuw6ts zAoAniW#)c|3xu;`^I5ovxLZHE3rP?y6_tMZjht)N)cBg%R%NQ;D}c+d;QNppai2Kx zrSTHB6kNcAF-}IX|6nb0Vjr2|`^c}=O-p@He`XJ;D-|2rxtMvopp z<_QpvvF8>R{*5?J>7U$IK1Sik9CP&A=Mu+nBei>*4XH_%@;{T`M8hL;@bcC*ZV(q2 zkKjHZ-eHDd=jB!5C7TVBJ(T$v!GScn&vPh;hU`D?1Sdf7FkSNpwRZ2_yN&&Gv3;Ik z1^f~XP zuOZ!I>Qnw0yl-Ac#uHQ_fJnO<9s|Vi@Wgs$0*D^6xVx8uLCB!M5=3QkaxyZ#XbH!s zbvh%5^mTR91Uo0m3c6t{B#2=+*e@55zt%al3nICJKiQv`+&p9+Iqs+wZ99#o~XKBc=gUJmtY&| z-;6)&1{DLOWVmESfjclCq<_Z|zS zlx=Qo6wAMI=FDCCgFvYlOn#-s+MPLlTEce?HI9kC(@%;)xIjsOD}T!H>dep}NFs$< z07S6NJUq2;-=3s;>GtRA7B;Wn2rz#^J4MCDE|1Bs9~TyWP~N@~Q*{IzS`xwHKmh1W z(Z%OR5Q>=S>syK(>DJTKJlL|m%)BXPsipqr3tSULmT=Be2UMrQdaB7Rj^N4%0)j(A zR`867FP3Zf57TAfIl47&=#j)Xup22Osk3yGQA;(->oH`cLb^RT-pV`ZseWzhODP0D z<9BxPp!8DWL62{RhR9L%VAHY_5m{vMIbfE_z-RHcAI_luioD$azSNTO`IzUS{xO2* zf|D`-mrdt4C|T~LS74;MO_Vy)4^x;6XVMr2o!D%7^6x{GQS0bVNK0SSaHY?p0J_O5XWVLYNhby1iRNt(rMB&Ui~as>_C%RP45Hb5qvWN&X;IRqldp8SUB}p$t+YkHzsTO_y65GFIsw$=s0G{n~^ z+SXwC=_)e?TzVlo%HhM7kuc@X;?8$k1u;s$y(gIht|wa&7Z&grqe?$H`R~FcEBfYO zN4P-r@SPt(2W6aZZ#pU%Z=w0Z@og8 zX?UWmt=9j3iw{J#I>02I#c(cJmc#Npg+WS-nZitRd?sJQX&?-C0~!88jIqdF!ZOMKJ^-sC*U^y^6ldqx5VS{OR zQ;e!p8CN9vO>)p~;BF(#p|7X?(h}#7z zF>NxSV<83+ip^ZWx3m-H{@u9nHD?}}5(hELjkAXcb3aUGXFkHj7B>@}B_3IV9_CqR z0t-lNgL!#YkT5sF^mHb6PcIuDj(Ulhlb?9FUg~~g>~omOpTP;l6P2^mZkRh|fsN$n zjhQS@smA)%Y{yJ;BsCCbH%$Me9>T<$`+ZCLMwmBXo=l!5OeL5p$;*Vf7v{#NTkx1k zT@NWKY883#m~xX?tnK%Fa60{TapV2_jEU2k6DUR{A>l!sPJ_)>^bTIm#OW+J(SBfP z_c#RGB+H9ftqZLJxNvJYF1#z*g1GQ|jB-q2jJR;a0oo0!L2H;lzrAuyo8opD6Mn4e z6wKX~|4eMYI0hENrFCQ4Rqt03XOm z3X?y15@wAihV#DF6T>mvfkAqV*Wg-~`!RHt*^4m6aEwa$%8tNn#H0#_Bw(ujC~>nM zB@0ZopA{}J+LlOMU<1Cj#n}oUWyHAbZkYfR`3>S*Q~sfZxen7Vu{_)4yd0Th!Tl# zQUXB|KiWe{s-eL}#p5gaNfKg}Ccb~0j+s_^kniv$1mC@jys5Q(x~d#$Pl|Gwho@(c z>DoJhAJsTiaQ&bP()_soibUEX&$P)b;D6*x?`vzR*}+VQpi;fivWGNe3C}ZenTqs3k|cuObt}Z0o&mE{UXk5_j17e@=@&HZ_rf zVE>aDLGG2~R*ovN+7n^P& zm~+curEpHq9tz7_5bknwaj_hCA_U;v41~`5`GtH!f$4HlU%wXx8KwJ7U5&0#Z^S}! z4#6rkMiS2B>M0hql>VrT{L}CNdGH@Td{{uB@<&=Mgutx3cV8jL);mV#ZaYPQ`!_50 z2Oao<7>-!)d?x=wh(eT+dgvTTkB5%EglaM! zX~T^hgpdM&9W`bo(`U|{Sp$p6BIC7yMYU{R-as-F$CCd=y3w2r84r7}`!p8)#xgiJLx!{g#?XHu2GR>$!g7#USqwmk*B z3cP*W?$fKQpoqEkw$jn{Op;MroH_o~AZHH3n-z%ZfZ+bp$t=_~G-TglVmR9QAi z5D4N-UR}8pEp{jXm9~W?@+4@)&Oju83c*Arbm=Aq$?_;>oBD`g&HtC&tIn1dqI}HS z5Kp4l(@5Oewy!7$ibE9T_j>8V-}-T?G&~Z()_t)lJ>*RrcqCpeXLED&me2ufQ@72|_a&k2dLe;j~GS;0LRvl?u*)euPVh%h#JbVPt z!faP^5t2G+w%!KOwKOz%jz;N$8;5@w)L*y(7a0*p394UcT?I#z^(KApH_Vzs@QWA1 z5iRwj_(555@4zNP=ADson(F2M%*YaIKQ%PiVA1GgSAK&F8@&o12#2cyse7z1$Jq^8 zUPljuL~3d(blo$gZ@E*QG4-`9!C|Z~4+@!7SPmLcI9x$y6x!ad$*#C+WqjpKsYzb3 zFg*@gRh!h@$mnS1`p>qMT5xh;#6SWlqkKYjkZaU{R~=Ih(dyqifi`?{*%ZnC2H z8)ZB^B&l%n?>{==T!+GQE=Y}NW)@9FL%$Z6MvU zIsDTX@RS>!4L_mjLh}x0z{1Wh7ovJ-+d=BKS9yCfckc#d0QzcW5)0@2RKA_m*k&oF zKvl-K`_rdS3c{1Mq%8m)t)CgyVeUsV;zui-29p47q&_o!gnWm?&*Vu*-+n~2C9*4$?VZ;EAT=6r zD7}o|K;ikFM09^4eVc%4%f!*7R>G2yqzIFNk_o0K0{9D#4}?jewiiOT3Glg0d`(J; zKc5)1@pzziHjqH$=9y5TNg7F%DW?eyK6WazW;UF2Ka zN6-2Ecv3v4?EL$<&&ziME;mnd5QGGgfNeje>hHdkb;3KUa&m*R@&SzAl1TW@=sLb1 z?^+gotV?9m+i7%g6Cl1fZ6lAg2YL(rD{Uy!U++-BZvp;>{T}&vnyY=@@$ zUjx)m67)L)lfZ!_qm6Ho@XB@I`ATS%1o3>_NZ4Li?irka^il5L*IpA}10t0;)3l)CZ$%q`@uN=G7Z-2_sxx1KW-Mn;$)SgYYA~k0FV9Sy0ef<+70ktV*J7 z`&7Qc!2_&kzIhY)xF?#L#>N7&Ped(L(MMAa`A99RXQOK2#(#+{>B(!$VDsaIaJ+bc zFa0$Tt<+S>$<^n1dG_e=1DL5o3xSjlJ!uHp4#|vl*^Xv&e^*-~l zti_p-1uY0tB!4 z>Qp?I1>TW#{>=i_Bw8iZs2owOfQ(x7-ml)5C#f8ved^0FAdy^g)cw*f1qYC)ApSz* zU8RXEY8JQc+pMIb-_p`z54PJN=LYyckZ}JrJIp&F zgNTfbgf0r&a%q5&B>GDzIlzAxx_VQP1c^uQMrZ7mX~~+>%DK-rD68jWWm#L^B)~H# zCnl`-m2R$LN*fjXc$WIdp3(Xaaf(~q@=VWzxG6Y(o~@yoXW?(t+$&(<415U~QfSrj zVLTHZX5O=H$`E#P(QY6aY{hnq@#hGzJo2A%6}lV&fPO)Hh7!-mn*z5?$z}nAYZu?e z$8NG}<#e^%DSXF!>yzYs*Udwc5EXdf+7M153jAl6wtCUTyfCr0wuZzA4MR;r1V9Dl znXCWu&C$XQq>_y|Jq1)B&g|Jn;w%W%@e#|%}a?}UupIU*l{*6wktg~nbxqs#y z(~(Px**e=uLxR{Gt*@v8ESZFa@=(BDbUc6lyq%pL4v)XTf75gHfnA5*vpGh*fqTy; zQpsUrgdlHY(tvhQ!JGMpMIocN3xWWYrf=lzCe@IMA&Lu!yzu}d4HlG!mbTFK6sTil znWUTmj(`^?m_H!m!SPF&Pl6{!)d&R^TXp__r0xc}$&13LvX=qf(YTW6Id%Ns6nYV3 z&5}?E{*IEi6xz%(wbC(}6S9UEE|lK*Wx%coJ$zF(CCR}Ke!%kDCIztu%>Q)NvfWwL z{gsf!TvKNw`4I`fA1ysq+hH7;#~o(S6e4jGGA`o`7>C-WxY*U*y>!I_S|rfPZ&3i2 z>OsPIf;dIYG|yiQV2g#aNO1?afk39FrUqF%D%FVwS^`Z%bAwF++$tm>aIGg7fr|Pc zn?riB?}M&BdJ$EqcI?{qcRVGmo@=Im49;#aqARS1C zm)ru$|EO#t>($)3Z{H{6kAxzQ3n>mjQ+-ntQ4?axq9Qr);hA3?QPS6MF%za@2az9z z7Eb0JI~;$sb5)w;?S^1MJ7YVzU9+9o*0y2td%LM=Y4<2ROHIwBM!L&IBoZZ>?U`CU zfBJ?MNu+Z?3Vz1I&2K!8eR1%o|BAZFakt+|nvA=4aRe-UkF}2s@9flOS46XG6F&y9 zofrVaZ3BHF;4yA)rSNA+wo$W4K_<0B;fqs)fI=|p0LwKuH!1|9hKfENd8!>OEZ2JK zH~izPQ2K1!+udO)2BFq=Dk>D-e6jUL%C`?d?+YiKKkp+$PcI-Zc7f;&T4CCKBIrEb%3fgb3+W5mL@n4A(OU(2cg_jO~1UP zjxKdXH2|uGHy#jV!MzX~HfIq46e1365B$T>4gO;pG6l>vlp;Tk8AyJ+h@G1<%%q^7 zhjW8E?l8PaqSs6vv>0;}T@3@`8~%~?t!HS$pXFtFU$;-w6vg?g zdZNy%w7**A0p+#EKe3w(?jm_(E4S3n{oC5vt+HCaz|(k#c9wj_bc4C@Uc_aB+%r%) zX{Ao3VaT(UU3J8yocwEJ;MK09c}#Izk!b$gjYzm0E~=?D>yt>uz$6B0r_LKMMLGR# z*d3|Mpx4=(CgY&FNkLyNy9>QypUQ#52yAW8^+q5)%(x<}i|XXY^jp?qU(dLAy`$US zS7hQKLXcVn!!Ku(ohz!{#ngECfXdS{U6E>#m7mzq&6DH1%K8<&xl_w8SMvz@iECGwmt)+c;WwJ1ugD0+pk1wwu1& zmROyw&A~^Qz*mBaGuyaF++}mB&P;Wd!P}m&FP+WVuT>6;GyVDe?n$rRCWR+&52xUM zrNjUuIA1#1E1f#u-!T}cvCXxSwdj( zkA~DCsZb?czhtztzH(o`)KW&nw;q-~;j>>Cn3n<;?t3r$X;!&8x7;u(Tc&h=>3)9L ziz?s+`rs;y9lt60`mRHK-&YP8OXLbU=T-a_fcX_Ot z+hHyK{d)|>TF@V+ZYVJpQ1+_=hY}vX)3awY$!rT4Ov<9w7@qXkw!4I7Jgq`?%sqVJU)KZM^%Way|6NRbA|Kg1D zJ8zQ-Au|e++t?AzwT+GY$5Hrs3|`RIyy@oi6o$t5`#L%{z0M-8_8<0O#&ZK~;Q67k zL{!2~wE#3*MqWLLwpVn;qlGN9`k88a#}7+;(h%x^q#==B`5-cam8?}eCwl;N^|;yE zY`Sdpg@sQRiQZGCW479&B)M$D3-PnlzwwBQiUK=R3n%vBQjHZCb|Mdg(LV`+w^hZ;( z9olD;N)M1*5D9)NxBd@frYqrE`cwVJpRCI0Gj)1&bbtQLTH1F-`8aWhn0k(U$Yn9< zk4TFYV(stf>G-zj*w&OM{AKS=dI2+#XCR8C&`haOiuptP9O1K2FL(s6!kGH*L-Q&EO>An(`yk6izDJes$ z9jvT&$Q3mTOd<}@O7bdgU50ApeEjQ?eE&C}4db`wd_bOVc1}5;kS(kFqiYC?RWvN> zqR|OTBPfT!Y!h#~uqynFc5XDLClwWS4@7MyiBX_V@}@bm!Mr_*{_Dc~@ITY6S>g|x zh7K`yU#x@%gJ`T{P#|dLJ9qBD0prai^S^)7D}e332zfp_Mpw`x2kk2ag;B=aNPgb{ z&AT(7XHF(drsm7sSEBjxStdW@i@DB*#>-cN$e?RA3=NqX85hu?E>_SO$*YB?6uim= zIt^L?p%<(e(C5m@(A3?LF&E^*-(`76v+b`k%jcu`ex&5B2cU;SFpB3u72S=OkZbHv zc$S_{pm{%YBGwpQ^a>&aVg=AwRaJdwh?qXXE<{6exPnOUaE#{93lo600D1_-MXH}v z$XQxu2uy4uy+E-I`CH0~=RAqjF;P)uDC>_FoO5!Tf!r}F5J3f{u!7)UVP7oK^3VP* z&de9e=358&&HJYMDYsdLsW6IIBO`rfYFXEJ5fI2)rYb(hT zbe1J=f@Ij2@H2lK;>wMf+M64Wk|~(p-~Z8e*rU=1J#%QnVo*R%Bxqa)c5Pu{;fjSt z!#rnXgX^!)?{_FEh7(h z>Rz$pl)rVC^Wdxcs{ZBWZ#V2ZVn@!{P5GF%)UG`Ani?xp9-CY~KE2$(ds}9?N7(q! zeEV)QH9a1!M~XreEWQ0H7YvGQ-J#_pI-0w>bTYNm($m>weO7>=7=%o;(_d?(D8);< z5QyOs=9KZv6T7wYgtGL&{BP5qg*nnbYPGuND*k?U&@o*E&SOED;$PQ^DRl6^(C~@n zgVy^t9h==$`*YU833=+l)sy!Ih-^mp5=p9RaL4Rrx@Ij&=DOj9CVTP z7Vw?ib+L+7FfDgMb(||{i)zz!N?AMoisv*wAn@t*xssGj2xUw?dA&uFZ_usqjuYS6@O+3apNv#f+iYC)EHW0}?#bGnx`=cvR2jAduXe*Czg zr4^Bw==<#h?e(4wBuk_?tq*>Fy*rq5JoZc~f$&1r;tLNh-yFPuopjfp!XZY_ryW0;WoxG&0VXb;+>iCf#fn_|; zzDF9>@rxU2_&L5L$@!u`%DCF6G9~33e_lm+xMqvqRS-V_{?48g4H9$=Jb~T)m#rP0 z)gyIvrH-DEPo`(!3A$kVo;h8v=6A_$`lam5%u>|1h`ti!Ir9@;lXQ4@5z0y(xyDki zuJdIPpq}w_&XkiRhaCQkhSEj%Ld~9dJ!>EL!q><7qQGoPiZL=$+&g(7U=97rh=$pV zF5f-?1>4zL&OpBT2)ehsD7Co&uSTffd9eB7RsF4gN*a7oTwJat8A(MmGfs9>G&KtN zyB4$wOD`DZd{M{avo3%nG^X4{8avb)jKS2@6ru~-%sfFDpa;ddQ5J3wbZTWq1ztOY zx3|Q_#@f8nq)39?q}46|t-r#?N|$pEj+&c_oUV7fpBa~CFH0mt?*veeSvGl zE0?6Dn~Vb;Q=dKi0-%D@#B{}9RVZ%IR-TX7$Dq9uD!m@5b%@*OPW+a`J6m2|Z9w-U zNSS){WFi5?`*fa^IFV2SZ&l=wTF#YO%MaZe)s@9u%x~>%V&V4P<8|LI55^La8cV8x z)50ug8jU`Ft;5}ok>-&F&8Z{eV|2lS?+pYAtfai-b{y|O# zJ?&#+V}TFjYn}fdJLB!Q;{~6bFLbo4%Y*A{c+pJMWR(}QdY_=cEKU>XqY@M^x zSWeyB9BN{xx}3OAgy)3Y^mF-yT-7PT&_W((>tBKgsg-W{tPc-xAKqsv7)r0;ivY{8 zBURIV_|0Z=3-=4O3jxAl)rqiFTY%RB;eQ(&&w*KJZEb~&zNDmN{Es8R&h;BNa;0}N zGf$3<^?+_Fi-5{qo39I{GBFOk9%*=Z81=udZz&XV_Rr+y?6(E3j6IZL_hIFV>bjRA zX#K%;#nCK#Z}Z7p2KPRGY_1}F-qW)0H^Y28&$;<1@+fb4U$G;;QC+N+W|P9WJ(4J7 zlrktuV?U!3bN+8K3Vt3&Mqf~O#9Jv)xdH+B8I=C7*Jy}@;L8hH8cwZsv*-&!=4fZ2M)D z9DDYZPfwRxYIq~pWigHcyJmx08j5T=oVWcfEY+)XePA)BP-O^1e>k9#O`?Gn4OD%O zj*gPt+B!Pt<0OtqN*XAxtgb4D?svz#C@`KThAXo1%sh*+{ZmiG;^EjoY@s8)w9VXWz_J zgx9;5H`^%bu2dB#rk}0t7I3bhZe_knzf_Lfpbp!QMS}R&7C;F7f4~Ab#@Ah4^Q7E~ z(ye(@`*J?s8FlR1=h@FTc|Q{H4lPL+rZ^B4#JkDV4=Hj=N_wDNgOVO}m5G-xU9xTw z!pKjb&X^BlI%@l5>6bN{Y1)+8yq&?3@+7!j!lyw9qLDkS+ptqZebO-yX!PKvzr~j~ zn-Ow~!n1X}`^dw0a@Sbf9{YORb`8#P)mjY5%-Xt5`#my$PFsYRvc`qy!sl z@b?jH#M-XqbS!;WWtb(=vzBYLkCn9wTHCUl!Uqn>DWWgbh7ND<#yRz%YD+9|dr{ z&Eps?k%_mv_63ga3#=|R9=v(BSaGCEoTn~8m~sRA?AX}YJWjE=(+plFMP81?oQ=zz z*X97(DAcEhm z^NH=;CIqa8YA;uoFR@EgSO%VUvecu@hJTO?Om0oOOF(dc?7GDcmq(01sK{W4{Kx*fTJYHM7sTt2|A-|KTA9 z?i!Greb{Myb|-%2SBvh4pdEVAb6FQZ=HH|l{`gUPb-A;Jg+)D2740tzHwza6dwzZ# z1Na}PI7e$QT>?YbI98^iwC3_}Fu;wUPmVTS$?}-_xD#+1iH4b(nW5YYiVcPn)<_qv zC0kK0NZs4KePrx$Z$cR~26&F}TqC{OQg(3q&&v}hrMw%zU_(_^W+R+9foEoLpVU&lNRID~`+QiFUo39}o_Zu)<+I$V70i0AM2Ke_T*n9PFkFfNg zrJdnm4mN!@oG~J?Ph)uiO2YSbnqD1zR$B7dF^sS4R9sfpriHp^G#j;g8PY4E=>!d1 zg%~Kt5M8=dmO}fCy_rn4<|iwyrDI-gHk@+`4M{M=lA1hEDn;932QZlv$Sji+csqT`9|%zcsL zjMJaWd^`>vN-i#*B$3Jb@HixxkPZ}uq161TZ5+m12ZbuGZC|@qPal(8C~(Irf~L65 zgNtT4RNis5R)l}>TW5W6k*q!E`&G{rq$nq4#OocvdJkI$%yZIS5ejfg2?X}?XEebs z7Klb9*W~v}(3?SAT>Sm}_pfr9h$|#yP(%@%d|nsAI#UwW|L4woXA_kL9JDf#w=>Jl z*t3~M_?4++QY9$p5n%VQP|tlBUC2p{l`K&29z8z754)}H?eJlIici9RP`eQ z^y3=*7T`Ke`*%lSSx`%UfE{JW)#cAr5k4hO^VPPs*>p655u>j^sqka@;a^{#B5VWI z1U&p!j$n|UEwpYKk7}PIXcCx%0ZhJS%)VtJQ*X^Z1(x_dwOcY5i4|ENqmWb^hV+1L z0YSErKGy9k_EAAW&o44B)jx_D1EFl=6)dl?v2)Oe1Ds~S?AaqX8Hf-7frKFETlTS5 zz%+OUd-adel}B$%Ib$KR5CO{@$v%Qe2l)5!-ca=Dd;)GsjFA%TBQZY$Aci1y_0tnW zcjDs*;hl)x&Ta$I0xBXQCw*yH>M&zz%#9ncX#53YiUcYs3Y01;$;o%`m_|usH>TRo zo#qc-kUR&6qmSm81<*C=DCtFUrSWhV#M`%j{`dj8*96KEpxO!FXK7qa+s@qkUCr`wUD74f zC3a-`g;h8@KK==|JQU~f!ZHZMEN_^6%E-7PXE!tZT$XOz7OuB6CqdKc!|i)Gw`VxT zF`oJhW+EXC;9kJV>P{I4L1R9kg1fcKN`N3_$f_>INCwqy8_-XQsuwm#KrLVc$Uyy> z{|;s80P?LZ?E~H(Bi}xzwc)K9`F2%)C*CTPZ_nj_$6HbI?Z^Cnyk#NZu0JX7!$5;e z%2sUM)8#61{Cuq zK!G40t+ce*y|C@o#~K~aZM4nDcZ7OuIhv>Td(`3_C7O(}MLA524~u`ni^uik$C zEG9S>U|ZC`!p26r$Wmx0=w)_x?N|ZayDG|$RIl(9SV~A@z9$)^Ub|S3dF`^Zh-aqr z4Q5BnAI-}p4XeJ`+)e_i&VqZ@*26D=sx+^KC6EC3xIvJ_J@XA@90-jv5*kTK$+#>t zLT)QLJnd+zI)NyCO7QUf8St({C_FkbQ31lz&|Q~X0?_I-CQAB zqY~luZevdNuGddA?_JNU$y{QSnp7#S7ZUaw2B6kCcB!idQQHcG)XzYH^pNHLS)UwK zvy_Qw1dd&j^6{&V!t*8GCQhF|cz+YqJ=eoz5`KwedI0W#(83rTh5j0w%Wh+1-e}}? zVXr}{S|DY9Qc@(3m-OBxpGnt~<|WkM7%hq+DM5$l3g`Px+G@M@DGYz@|K9(-z9@Ad z`S^3cpW7br$*Ep4N|pCnPCJYni*$ARceR+oIxxokAAeaJwXFb*$M(hp_Vy^VR;93w zry!>Y4$Q1K51jgte`JTJz(t2!n#&7zX)nDKd?{;BX3O0tv2pvS1I8T3cOp+r+%3k{ z-P=&x^;|G*Z9A?(h=A^-+(?8qX`?)Xa+LeBYeZEaqm+c4`BzUneTL#qO0c5L>-{v1apT#PB ze$qotX5Hd>F%{MuYqM5drsl&G851kF2b}3EFLg1Zh+3UB!3@CXNQeLxWW=fk$4){o ziGn)V&k2eru3ap1WT26xDXJUgr|!dai%g&kp~1o1=EfRP3&@=NfI}h|Q$Ugn+Q)99=oCvPUStq#X&D1uEl9d9m5RV$>g&z9)v)E@COj0vT>_k>4nuxMR zT#ZhpP6zgS@I~7C_5U{Q&5SwFxy0{<5z8D%vEi>p61S#T_{wQ%b@3@NP`NQEh0SeK z;%7g8)ZC@wawD_pGf(Z=XOR-AM&skVRbB_vcFP>AcK|OnEFP|^lgp354r`+XtXd?c zmlDeWxweI0+tFrQ`5+vW;`00&3a-_F z9)aARn7C}|DxQ-!_b9$arUM?j$jX(E@KAstsH&^Oobo;Fl{7WWX*6@q>e|{NlA!ys zAoZLvGgT7n0Wrw1R5HH!mr83=GNm) z_zr3Z#30iSwuS@9E=c7gj6QKSG58W*H*X36x`jPA8(R78cS{1w9nxCmDf4li9nRA7^zf$p7&Tmaf z;dTR|%0u=WS?TYDnS8}=8PSJ@ye&$LlRb``zhwGv9bm4k9n(yO=bg<%fzS2GE|U|u zl=*d&3xh29_WixPN*+Ik`$k;ZYQN-v7sj3B%8bVwSH>lLi1EZf2;kZf#~oav4)1o; zFBm|*y~l^8i7JXK`K;6sTMXc|~L z3FmM5y!DAjsT`b~T0r#hT_9HXD^l`f0c2|Z{St)0HZm$|a(sMcH1IP9MwT0hmXHnr zy_U>tpFWx8z?cC(QLhb(@F&1ZFd&6{_Y3 z>@%<~y8IeQnu+x$qU?AUmP~37MLc*O-kIVOz}0|?wrrJ^kkHjff$_nrp8&r|P($dk zHt`qYCW7jl&#xN@EwKc6iaCCE@X8Itc{&+FT`n$x(CSt83L*fdZz4%tCbZrGrV0Ar zk+PJgbRg2#UneJLu5j(vt@Lvmgy2dXj}WopPOgN5?dy*p)l^h`5L7}%KmL9S#?UIR zZEGYzk*E27$8ObM{So!f4#`a`ss3bGoFp6}F($BBb_{z>K1ZLCd6fBIRaZle4Il!i z4Jc?5Rms`sV)IFRGf*Z^faZ3OJ{eR&*n;W}$)j4W_Th6NBT)oZ8Bryo)^U!bo`$0O z1Vq6LNZ_|PRLp__*sSpYFceG(PI`N5508hc998jCK$h`z4kZ7SI`6ogi!QiJB86A zTqK$hn!^=eo!0a1P(l5(wGX@>KL4+e8{!p~Z$m?x*fVhfm|w)i+ZB!fZsOuV;~`>t z1a2r!7{f`)M~xVS&=b1N!?%MOFdE)L3JZ(Rh;0dHL$StGJ~wdlF;+_gsuIaJRO7*#)Gr*GdoPoAU=pMW4z@J4x$^ zGZ4xVR2|wG-9RAm5~N3{A2dPn$K(k`$Q21f@6c56JZXU|0SF-K@?~cyvw(nkxMWF7 zpuUinwTwDM4rPjVc2d0q{BQ9%V~l=aqawv1zy@>J;Thhj$EoQBuUu>E*2>u*TaIny zp~{jQBE@D~DAzRXNv2WUhL!?6KoWymn5kS4hUx)fLs^+03^h^o#tzf0K+YbJU~d=O z5iMj)Mt#Z+77A8W@Zp9)WCJ7)rz_HFE{7c)EZ|o#IZUv9!$?se*HJ;F-nB|d7qN2A!=1J)Ese<{z&v%AHD9gzk=7qYLp&bOXy42qx_QUkDm3KT>rRkF+!{yO8Sd_qCfBK-#azA6$NpH7G@iD2!gBjVt)7a zUT-{6=Q>mK@~28!gi1x(4f_Mp=gQ94eh)aRn)^&(Lz|5&t5( z;QQ&MvSwjF%RPV+HZcy4$%@kww{=k+E znO}ZeYtPx7Vjzx@ctF(?8!rZ;hg^xP25o%szc@Pz*Iob5eynF7t16dFo;+#pH9p$c zT$H*oYe_bn@fM=03Ab|Dj~{+ze3llLEgOX6k}NXa`7C7~SKgt2CJUdrPk!cg>+>Hq z7eu`3R(-0iJTAPuv5C<}gr5Si1h-1?v+%dl1%DG2?o(cWYoAMPvllV=9$n$%ujWbh zeBOIw$(gIwX5e;W0j%2DDcEYiUb>5a^U^a?&MXTaCdCmd5epirxJ&gHz`~bf#v@Ac z^*j*OeYt;)m{0BNFG*HIPd>l1;i0UAK?*_2kmVS5TR+(4&-l)snc`@3g@JfQ?%!31 z^FVQVDPI#PGjY9q|?sGC?R)V}yx%lEi|1CqjiT)rG8OS&Iju%}Z`4wDmGyp|qec z4@ctP*+Yb&j{kSM|NX`d%a+;sMlq$eBXbqjtRwtipXPW!*_4%jujJmekIQan!+CY- z@55&fKG&EM%(o)cNkNJaWHd?9*XVU1_xD#%OgY9q4cy@{_1pJpnpW_3(e{c?pAMN! z!Sact?z5s0Q!$TW!5lU+-Qys6w6QA`e6k@?^6h6qD?}N#*^Bc>PW` zUt+HcZ>LP=-;Va{;kE{L-*#;2z5IICzIUaBXH76wjTX;Hc;Oz_Z^%r~Rap*SZp+;P z+&+JLXWN6Cjhb(HKj=@>Ssr85Go)TQa6VStg}GieyKhl)+%&PTXDGj8mXG7oRkgWK z=j^x0WNDtBH*6@kKfhYUt32yYVsB12hX^kr$R43iB#}6s-S+Kwi{?#AjZ&Mo_P!gx zXkD=@Q?o!*+_RZet965=dZ+hqtKac?yvz2jr>0TtS&1fqUrC2buZ}a&Hp>hVgd6!> z2AQ%nh%YMSh-l;FKTA~Q;jP!%$)^XS#>$N+<2MJ0M(^&}=l4CvPcK1)KYPZ0UUV~S zZ?MY4ZG8jkL?Q1A(LWT{s1*!4>Kl$;{q!u2fyQcspTQ zEze1C;RZPcBewRNSM2k#pX+~eZ?9H_L{jR&1vS0W>2pm1wGBG?j?>hijD?9-TO`a@ zaB%-VOJ96Qmo6GV|^QyEt`-ASG2_o%T zZf{FRPJ5ZVp55j(O`QPUpha{+&t^tBA$R6Dr|9SWN6|}J&9wl94BVC@-kHta-Lznl zj7}|*63EmPo5Xes6`o<~T1Oc&q3yb1+019%H0xcLS0@~=RC1*9%t6^ezk>8w=hVzh z!>OA?mD@djHI$7Aef(%WSyq3Z1YrXM2udr?a;*N@$9%Aarccb>8QUzydg;2}^)BYB zbelg6RRQ$5=b1fCP#%!?pL$7*7=(0-9`X}|^bI6Ef0mKzPtHtYxjL}gwd6B17dFMy zT1w8adR-VaoI#a=Ao}mEgut2H?TPVwkebmqeqwpDI2<`JF9<@to|mB3l5>sda9T=K zDU-inCDO2ppe`r>m-;G6jSw=(u!y~J<5n3*(jM}plA`-KsT!&X*HAX?=;#1}AKil{ zNh53v3q{2#s0`-@Yyb^zTpDs0ixiIH2^^SeV7zPBV|06BT(X32;gz$WtWKh+jzkCP zd9F_YG&Fd@HCsePL@8*jTW%G3K~6kN#FPH-RFA}K*MP|R4u4j&J9!J-JJ7jTMlMM* z#u1V8G@USa1LBJq8#IDEp8yD?p$au*WppN6@#zWj$guv8UY_5YBf>stHynv)(3Yl&eG(SHN)jTSNd0`+RM!~iV#bMvT zF>qx_5e9_+z^a}i5A9S#!~;MFqLC+HkfO?n(2I<&$nfiuz`^<%PlgWq2vGwvH(+jO zR|<6xAahx`G3g7b>;6SqyBE4EfoNoB=fO?xA9;@31uO(Al2t$?czO5v1t2Lv9kx7C z)wNA-{F6)B$*<4g*v%~_7Kjsr)tXazriC;-+V>Ya?U`BK0N+ZOi`_3NX=`qNR1@gN z{dK=)Q}Wbsq9U8p3Raz^|6Y2ocyQ|e|2Oyt^>_?0d38Anf(9yRXrDBM?Cb7)?&5x? zJ=&mN_2I6Xr{w0%!&i}}DEB1JLi06t93%(%EWOpVrQ4ct2SFCDos&p-dX5{qQ=%DTgHQ+7Y8 zNv3$n!lz)@T|EX==pSPKv8t12+JGZz@ez}^H@B}_c{O@~mIB4scbaC)~5<;b789hCT zSjy6}*yWgV{4Sq%<)YrTDOl(}emvK&RCRra%-*P@0+vtw<$gq->PQq3a&7rQd;&l? z^b3UPXy81)4$Z3tUHjtqR>?Q}KYIaO6WVy!&TDf5U4MtKg_Wqzl~&Ju?S1mb`G=b*MCt{lkpoqWyh*VA)uBr72=D2)9)ZQe}CRK_1a^N z_jwDyOV3?qbX{tX@4=qS;5%@2RB^l=FoLdykp#Cyb55J>*db;t_S$~y{o37^G?43> zYqsM3)ypWSUB%87^lC}b5zI@8dlu4BVp_T5*Njs4a%T1-07eY%?(g%v<;mS%mm8(S zC016J3ZBNUe`*h3w`6XU_FdX`6-01WCZ@30SbHBGREPX(+SV6U3@yE?8>vWcbLK`ZewM?qk5_v zjXp@#6oj(K)sG)N3W{DfH1WAY{A8L+n1o9*D!;6)bwkEUt_+rzFn8JV}&y8M4khS*~DgHHj(pD{hH*NP)`o&;#izCZ)zrH^IQz?A8 zWz(89U+^B>@%GBVK$s-M?iB7OXzkOFwu8@%F2M6@3DwTeqxkz^_dT+3ciKpL^iAfI zjuKDR`U4y>My(?8#I3u!$z0s?8SO=qsZYVX;YJg!l%M@Ujz_Lj`Gwooq1YGYwyhX} zZJ4U+h8qiI-_mvU=Nc9CF1BoM-<>>A!}oV(Ig{6yvg3rD0?ZSr{HQzT><%^^moSFSC3id*qeESMQj-GZ}0vK{%8j5-e? z2gfHI_^9G~f&yF{2mab;OjN;y4VlcJhB$)yl?<||mPr~61S1(95iUAGONbC?uaGna zi!u|-V7-RKY^fUuAqZY04lJU+l8}Q?2?sV*+(gtLpdUE3&zeZGr61V0p@5*y)8A$` zJR+zG^tbH|B?NUl{Vhv<8FX*-Uv^9KXCST2@XL2}SQ!aZ`Xv*6f zveDys+Ir-n8;dW;NL%XhN@vCFQi&idQ1p+yVxzjzL;cU(<=liYeY`m>YhOzgVZ2pI zc6623V#g4Aa?$+7$ESxZ1S+43?7y8WNwh?*V5gd5ywEHaSXmNGx48b|(2bT({qrFE z)9%j3r(Q}7v;f6jgexlmp5?-VZT(yHg1k-4H+-)>)v>?$q_U*};mY98LkN>M_Y)t- z6ySFsw-)Ek_ATd1RHgX}rlTwB`c1A7<~OfDhA{&pDkC)3ev`g|uiXQ~v$O9< z<9;ugJubUvH`TPpjGwt4E--`@xrhgB;43)lTKw!!Cih)`r6A2uzNM-Kjf_d0c$x!9 zawwrsI^sv%s~=qiaFM`HT}hvEimYzDgbN9l5KfZnQiK)Q9N2)*EAA$;!Og~0UDKCH z*wFJ2YI40USS;jVBpB~SETO=23~xgW)-uzf2?C|wgB;YAWHAS5;Se8TOi#Jwc+{l{ ze)`C#Y*Vx(Wax`TReE0*VY7i8&(!<|I|iCQ{lL6QWlJch=m$>I31Y4)Ah8ha8lp?7 z%=D>xi^q+hFs6rla$D7934VHpNAXqMPrSo@z@+3K!&~~+MA=+;fOtp0B#NPzJ@Jmd zpimAf9;DM<@YyqCcuV3q1clwHlDI{mR8_k57Z~J7yD@_LBZ-}nqE0`x2wgFjDt-E? z#fDfdqi&?1nhaNmARU9k@+2uFzlb~$G@G%bi^vl}sd0MyFY;9Ntl>7pBJxE2k)p=9 zh&&Nl+JP*K$P>|Wk$?Fj@o^FLv(xv|I6t#LO9XKT^l=`+$!l$ktU{iZn54*&^C?X?c)Ec6#5d2H~UPu zJ15*!@LOgLzZfRyyA7qdZ;B|R=kB!Qh5pnz`h;#%Q`f38BNulFtl8Sc z>F=7H7#L>g*Ft5nUqjhJf0XHwhFmldJn>1VWC5l@7~0{jcf*P$MfCHh`ZjPcAr~dw z+K_s_CG;{8%2s_#8Sc>M4b{Cc!MpRjcM!J37_lE5tHC8zA# zdK>AOew4Y$Jaza4LKmTJXK5gUf%pu-0Y(6k_Vn$9m`-+K5*k4LsjD)ua#)Qd?ti(! z3W_|!>>$zI+iUGtUss2I?fZ>VKbT*jFI|KlbhUBt zQwPrQ^Om`#B}v8X>vQ7%4eLF%)8A231)BiO)PitFj@~8})=STxT)O?P`N;>_t*cl!&;3zNO=^+t zT-};dUVKMT<$U&kxBw|Z<+B3B8tBm@kRu|OCLK#kAE3}^c9#W>BG9*TU{(3p3P&P}mkUswIRs%{oa8W4RYLJ zTLUkWt`|ZZ)z+tM-`3Dvr+59h{$+=b>tl_P_w?#QCY?Whh<|At=KYNR^ z@)?+JkI$oFpd*k3ATGiR$KE|TH`)}0l0GCX2{7J)I~;1ik2;YMuaSWI_z^3z8ITW# zdU{&^R-V=iB%?4TZ=rV^Wa>7^vrCXz_B+G(cu!O2jAqmSlQ`71vh1RAT8`4c7_=p6?S7E=qr%=Xr$?I zhet-5lI#hLdJVO?p0`(llBsKGMC?TIcIY=mW0@@ATRbi;J@fMen4Ftf7o?ysDJb{@ zDH}v=+55GTS{djM+;71FL3&Y|8_B^a)*kZJ`B?i5BVp7@2I^CKRdEBh#Zsm@LdWalzI_@Hv z@qTy8`*h!6qeQFW0%NRYbD@{_pV4~nUbo|{pdStwUv?XK9*3KDFQPO`;+|kc zz)Ua?T|4M?V}P+3wPoK%rTHQ&_WnRG2g`*TB58kNSht#|z@b`E+e5<~@7$(2wpLBa z5;CIIt0)?mBO+42&YW|8)m%K+v>UXc=|e$6Sn8x>GAGtY)IqF?vOBVCKa3?%szo(@ z`{qdRWa^$%!CXZt+1V!g;63656>x&igGPXu;>N1mW0#@1(?A(~P~M7)LMX7%d7JP4eS)Lr2E4}bwaPz2P4@HV+}#Ug5EYRc_%Ni^yH zM^M}Oq+{NERw5!T&CR(41f(PY0E4&W>J(>`N_x@G&&?<(C_t%7V(OqFd3bp6T9G!u zHVlaI@oL+c`v9RgNupXq{_g+te}5buUP1`AL6?pBJPx7BuIhNOV?h4^JeCWkC-!_$ zOBHR;$wi_?2DX27^b&mfG#R)&F!M8~olk}a0>8oY%6Up^`Qc>s+VPoJT;VP@KlT~2 z_YAfY=vgqv%;FSlumdLF9$Y`D|4oJc(3V5S7KH0-hzHk8fFjVmwHF$Fl4ijj7#PTX zqN8*i+l`5pxXBj)P#~XhMN_GScUcQ+C0LY|6c=EDkyEBl#xrTzs|=f)OfQxP*P@Xc zXA<{6rqwHpfDTjv%6DxS{ zqMn0BRmrfx;_O&Tk16o`ePdo!A@WFIWIBk5e$Bj+c0l=F7oVe(@ae$K61^$V;vT&}Rf zz6=X~K0Yvddjk8&4ozZW3y6?5@o|VWg3Pp5f^heYCA zBk&waQCT*5D{O84khkI$a4SZf4%l$ki8gu9u~Z}M=;`loFZFi89tR0*0PuX@z&=o{ zx_k$6$W|&ovj@f#%3&Q8$Bjwh;LwGK)HnCDzV^kPVE8SAAS~uLxOF@az%gh@nyA>3 zl7f+0IIwJpd4nB@nS})vEbtde-@Ds&Pir({DY&Fx#Yv??cRw&mvLs++C4 zEAMzYCFRJFr>=#xC17zBzS66Aq--^*+~t&B*|jnn_EwLR)c|iwbfd2W3O;zKbMP;A zYq)m_;s;RsKgUOftoZlj6x?~Rf|r*1LRca3p?+8L;Chp~XXM~k4$)>4+>0|u;lg|5 zh1S$}-tmKeSOS5&LSi=yLL=<`ayz32PBj+6U{GemhMoSUVf|(o$c95uXxRk;xE)5Q zy-!OZ@=&a)?lD~Q@aO$#FH}}mhLdP1OMv4Ji0bHw(^_#p9ZLhQ)cw6$R{h~uruRC1 zQ41`=rDGdxKmNC`9+gKF2;n-dd`w>G`DJC?+_XazrV?6OfvC~ob|McO!9t^fw(gS6 zbqAk)$#%L<*>dOz`27?D`44GXB&;xskHChAD;gdm&J$lGcvi1|g2xN}zPO}h4>tCG zC?R@Mq5OtEqG>J#>-`#1K*z&f+pOb^0f85IS1qNY+RpZCbLS`a=tDY;Y;OeZ%w9D` z8Onc?jJ|d2?@)0Uma?1)g^Q#!7m8_U%4o>)3;=nChXku${ylPSJaOyPb*^aO=I9Ls zZg`IE!=Bs6=PS!Kq9Xd$XNY;)B@rF%^%s*E**Ns~=olFA-CQHlz;s!-`$PLRo8t7G zA|X>nJ0&r)O>z+m%sBrbZeVPzyOoZ~fouFgqcuNg#_ zY7r4^Q$J3hJ8~oi<;eVeuqM5&)h{WJo!r^f(qd<0qpGGB6B}D_4aIR(VLr9BDJm+y zUa5Q0Kdiu|b@N1)i6lh5tlXq%V`zj={r=5RCY)4WsGhDwbYEW|>MVISq~qM`-Qfq5 z=zsKI#-mGhZ<)|LUqxlmFLZ8}PTlcwW*S?H{VM7j@uQo9;1h9bJr)iHczr&41go12 z$VrNd$i1=j!`i}}UOfpo>lqurZEEsDPK`x^6tpQTqi4IchBR9^Oq?+86T@%^(I=>_ zYaQYh^`^C6JGXGMtKsZ&L-j7^P%@gp>|Im6@18*44}`S)?s+`jltO4`K6w%!)|PUB zdlQ^O2aE(rqlVL`y8}RHZ9}>AA91}B9uJQZgy*=tnaPov>1j~)PcHqSUFXLu&dta7 zeQCMz*=41i)3kbC?q*FW7|45 z+@G{hde1(8j{hNixov+E#^h;fPWERwFCAUBdQTx?VeD|>JJFT%1hc=tzeHw6#!sUy zIK6KR&W8>??Hu}gWNDapsz4vV$L4j2mKP?9D>rK17vyPgZ$}`9m&g!vsr?pq@|dk> zdBwkWcYm1Z4a5%}D_=*R!1nvkBa9fdAJhbX{9&M{mlDY_sKeP$h%+o!Lwl(Xt@r{lZ?Bd!{Xpxud&^d3t zE_!E)dXgj;&l>7~K9uAqF3!}q$Msav#fwW)cOZfPKYRikm%dl;dy$uV7@DrO$6d#> zto}C#g8zcVJ(#P#?EQ;n8~Tbc^p)Gqyq0mL4*kTL=-;6ZUkc_*+EETBJ_d92j>-` zSC|v3qB*kbmizPkPv28eBfPQ@$MZ&G1#nq;RNi*yPPWN~q}#VwO^%8|x1F$BdTiN$ zzh$_|eY@-cLiHVxWG9S%^!7q{9=)>=eJoQ~V%EXiKnoIDq&{Gn7Da(uJA+^iJL~lX z5t%Wj|M@sVryn0^K0=r~0A_$0JQNy=Tet2Rw@I>Ie2)L#j?KEdzz6Y4N~5JOqraoZ z{g40qhct`ED}5tw0sZC7!A_6#iT^J?=4MH@y-BhMWQdl;W8>p)Zf=&Eu`0QbAFD}8 zg@%E%01prgO^9Fm9?Fs4&mN)JOMz3cva)756Ug9@y&woS2F>TraMu0%FR*jNo=Aqj z@@EAg+PjBBfVC#sW3`a7il=CKRDe)900!3l`wFUEH&Y_NFBZaHam{*>gEQ_Gp&CQF2_rX zyq8Hr=&D}&DH7$Zc4ATT#$*R!#;g@w-fmzP%>N%0^F z6~&5%tQeYx)Ko_|H%+uHKp=tr!K+*JPjgEP2;9XWV*>=ejc5u2bWmm_P2<+3gRkZ_ z(y58SdE>q`bf_b(O_DUojdin_6 za81Kqm6czjq(FWj9CQtsL$5}z=m!saAxUsR_@gri6TIT|^swghvwyd4+6I}q%N+73 zD+>$SH6(~DgcNuFj@l_8AP}zq?C$H+%Os%q?NuRlyGTCP$?yy77L_A`=`6k(#QC|`F z2Y<%?aK;IX)aS>57cbjh4+(h%6%%%ksq!a98x7nN5nb?aK9GL)g1#c$g8|l^917Ey z&|!|=`9j3a-MzEIUqh?zIDQncU30?zKH)Mpsv`&q%-= zKs$n9(e3A*935ZgEkFZ=#0n0~m?wu39>eEY9myb)hgq=vyXGf~Wik+H2`V|?u#o|e z%nSVylBxse1|0PHxVR|J&PG7F4G=#bLZSu|BKZ)yyZ2gK-~8vFlXx;XH_Q$&xzZwk zKS)c1T3{$j8R=ySNO%$iUBUCM1L< z-v&$|dwctG^iaXN3MtE(ZqdsxyAfz$^86ea2n`7-Eh{r#cMVzubniqcQd31B5_k18~3=o!K#J zZE67!B7;Dm9c}5D_X(Px5alh@Ek|wuTc>s0$Q}VIg1`q7%Lw2iJSdD{JYX{0YWHbn zAf`DikKf1Qlh$S;!hOQYX|=jnSYRJKxQ=Bi zXDcr+58t_t=g0T&Coe5uzI;&D2u*MJ?C#^fXU& zPL7+E6~Fa{>op}Bvo|Ye4NeMslM1&n$Z6`9@1B3VTEtkyI@?A(#^|vgIHWQPKHlE4 zGBV#Ca5)-$Fra>Ws{AU zrvwu2+|fAy_oM{Yf8(g7VlJdtd}59^+V z2esAdo_DLB{sc*NupW=ewg$?y+S*#+{<&xKTUuK53j-Gda_`Tve?>}RTMGc@WeSu% zGS=UXNNVB>!*aq|I{;i*W#^4~^-bs15wLJ`vie|hU>gRe-16}X#Q zTRroZ$V0z#kr|CoUcCyLTXXa6M^1_8u%Vrz!oqJYufP2PH7+AJI)pg6ER5{nbyd0v zl@#Ll_457QngWA&EWaA+zA&9Azrw_?at&X4DX zZ%|WvtZ7;v+r1I(njrz?3D^HEglwmcGq2ole0&^AuXXpZUln|g@|gYm8?b~vgsW{0 z42;B+=3mPZ(WDE${mg`3!(Luqh#eEQoqM*WI6r?+>E?)gNl8gS%N($6R#Y6^y*nxl z4rsOqUmRn;O*%)DhE?O^03sY{6dlxUU_RP*qr(NBTRaU=Y_Am9h<%pyGi_I$#3Mz` z1W^g_;ogEcGqkOgyr&byg1pk~x6`RpTW7vPCv~9RL?7{*>ybUCu!+)PFT=uTojPuN z&cNW3g|wr?v7&}1m+}d|+a}m!Zd||aiRiNu9Rr43W6K+j_4j62{477L@*PJKS-pj* z`m~&k*wU}zm%HC{>682Skt3t1)INE#E#TbDO?!3@4tT>gVz0vfh|=WFN*SqdgM;sO z>qwd0;(|mPYkY2?5+T_ZqaH~%VSi@24bigWx9P#tg zbo&=P&(JH01nnZ7_h#H!$f9J3GQ3QY5ibO`X_t6MzxM50VNGAJ84c&-BPR4-07t@i#k!YtKV%$F;8U}C}KAIrk9dU%j+d61{KUcFDFovgXG9!(68Jz)d+JwA@jU}(&n{nbAS z37dJsNeQF-3Gk3>vid(h|?}vxihZFB0p}r!fwOwBRS{NC4;3j8e zkVbzXLjQWGgTamy{poU)-4oS~4=EVsGW?!*+`NQ74cXJGIHhD|Bgt)+a`^Cvmsf8b zUKm31k7o6n$KDCfUz5X)9ddoq*_m*+t-T!e1D=SN2i9R$u+ta&!w3}i$$)Dw#f`~% z?(A8wQb&x#32uso1>dJ;?Ozq?xJ~27j7!&lNrFPlH z@jqaIBEDc-0o|;artgg~1hJ)Uh}S!WL8tF7D?*^Usf?!_Q zrLSZ0Ri$!jd7z=SMD%(1NFg@+(9l5gFa-QgEFVx`zy8ut-BY9yQ-HER))|d-Vr}|c zSrF)30{1cWp?bHy=O`W`qS&?%9}XiM!A|ckrbTFbgm|Ekr5)2|w*dLHt*h%G3Tzma zs0X|+ibE%^KJ5KvZ2^d(r1c=lDIvF%iLAZ*92s(5ZcX#yCz7iGX z;qES~=wy!BCp?7Es|vUc7INrQJ3Bk!n~FI*o5ULgU2`akZ>%)D8lgg*xK5P87+Ce zqvTXj`B$WXC6E)WP)f&gH-PyK#1VDUJ8(mRcN*MY5l9BYdMY*?WxV`N4t_;L)|Jzi z*v52pE&#BH*C)CkqWS~p=NqxHSeRlH6CErqNq;(0_u&vQwO%6?w-x&=WYf*aLUOXR z(IrD)9|kmbkkq2eQHj+89Y9do00xCs2lWa|YwLlZKVQChQCNg_&f1CNAu1IpqMEzo z96EkyL4>@UG+MO)o2CWC?w5zR78f2neY)Vl z=H7|uSzk(#z^C-%}YFJEPVh{cbZ~{9KVnUe9z#kKahG@W9zV$-Iqd-tBTxBFs39uNTG zz5@N1(0~YVD3T}42%Fe};o;8rF?Mlx?w}8SFE-1YP?jMcR#p8wHH9SC#5^bRlZ}-X z{P4~6VQX<>2!+k2c&)(gNPi@v1%-v7-hg;!p~I(ZNPnM*=6Vf{8LTc4LSf%QnGPcr zXEkVk`0za&8Bukw^vX&tYpu0wgF5suE1ph9LYV>ALgY@kZAkHPT^Lv|Kd&Lu|Ak0q zgMZbIe`sq{J^PCiu3vC&^w_XJLR5l6$EwC0!K&d2556(9gM^8I-$U7YxGNcTMZtJ#CiIcJrIXTNH8)6!HAA6 zHk1K>V2MEOpX!V@rC;#PSFc{-zylMngoT9QttA^{1jSuh$sDL$% z=fO(}U?csFwkg0)`aAP|af(ml8VK@m_IhVJg6LqNJ4hL)1< zuCoTu|Ki-9-?=>O3x@5?_r2fyu6Ukjtu9UP@8N^rKU*F$NAU$D(B~{HG;aR!pufE3gMCH#*0okm2GPAIg?hw1alB@I>}55A z%#_SV$eV%1Mgr?$h%x6io{~q;CZnvodLDm$0C&g2S`*hACBAsofAcam=0)k_|Nr~{ z+=ni74r~j4V$Z?uke2e|_h&kd?54xrWFd~b1Il`ODKfEc^#okcXBbcq7#WvGEov0Q z?sA#)Iqm#GX9xHZGb-_I{<^)irC~q5i#EwsbZGwZP<${~E0@`R6^%0JijmIJqR}-l zU{NhUB|z9v-q)kp?=5aOcRPm3du>qZKeD6ZEuERrtb8?=FI8INl`_%M#bK6 zzRr@>LT9w|{#y2UWKd9{<+Mnd6RhReuV1rsb4)6EaqTyjZOYTq(m2h~Mdst^(b0;! z*TqJC`rUEDoE0ICLpn|VX7D|D1^*o+AfRexb<4hw;jS34TbO}qL zGlI<^QvCPXzKaqi}5a(cXSSWYqL@cc5LfYEe%QdGnROe}{O9~^gh%+Pkz}Q&C)Xz_> z_T~c_ipzu9b4z=xqbM~g+P-Sny0c%PL*As5$-lEI1SrQx^jLwk`3AyPxT4GV6@?>sR z(B;5#H3lu^ytncU*qhze6V5El7HDZL%VMN?xy0F=;K@ckI>*0$ zWvr~Qv{Xe+TTpo9x+iC*h>zK5v5~U<$}n|U8=j}Q|GgjUiK5;&F@~X-sbsaB8tdjX zU3ZmtV6@V)&<>T9^uk#V%l%gzE0*j#r>bh3NzQ0#x-d~uQO1=MeRgvD^@-@v(D~`< z9$0veMnx#)BT?KRNF*a~gV*QJN5{u_)c%zGPO!JP9=<#{IwBz^Ci8n~dreDgk~P=% z?Bvkn8lk>{LDR2aMHZ9QJKw28e#FMsm<;87`}Qp_FAq+E%ecS!?99l>=-SPDr4E}3 zH8lwE10K7TwA0%m`Y2WVwK2z|oyEAgIJl2OO5oRomC=&*oy9)=LT(k3Q4Cr~(5)l*A5Vo|o1|kf0sp?EQ7Zw&WY2Z041>L+b z3qRQS0890!;8oIjL|8cDGT$B{pDL}Vug_^ZoF@@P3$BPdPi2jQh~jOLx0 znb9kg{3s_U2dm~3C%E^#dvtVEm-RYzU|=9C8{1sKLslZYwXt`u-R59xaCW(>;gOL} zYh&EDBa@Sp`jup6*&-q${d1oQ?l!_tLxb&7zr-o2!X27t&+=iP^d@}iiE;PWC$(f{ z?|b4B5_WZV7WZwvi!rX0^&)C%X@PTXX>0TS_H6}?GVv0p5O8_^_;HIaE6RMl91K9u z?fEMbU%mB-s>hEX(*`|$@E`#kFg`whuPZh(vK#`?fB*fbl&u=#CR8LD5fK4aTIR5+ zZE0y~YHBJeDY@v%%F5cW{2x)mhx*SkF)>TAj1M2`%r^fBDZAm0R%q*bdfD9z8tOR^^RrPWO-<(_g-PaXs3}Km1Ac^!?8merE=R$-8&&_Q&mGr3Q^h3g&u~-?WW^ z>z%qD@1a^A{rK^N&7iYLHCvCez-q4b&mY6G!jh7GUzX}pgD%QVysjy)Z5e3&?M9E9@wB_D>*eS6B83Na}Kyj0pHW7 zPnns`AvP{anBJ6l{d#G#re=?%@f%sSm4Ob_Z8mH0t3md@|M-p}8vgBB4!GWILGPHs;j3Ll2f)9z~{VYijw6``&Jni7kA&c;Q`^vY>-U<)?JIrp89&xHLVt5 zy^Kwf@j?Tc67%sQd)=r1nwQOm&NKytIevig7dt%$H0! zwb5!W?H++|KBA!saXdRYIdNXEQg&V+Qn&7ysB&J#X9)W78+E{9a$;PXV`cgP&ei&m%PWny8k`ygivIMJ~#5e znwpvx-M6hbJm&}m?^06c#E3gLLy~MWC0yxGm;d&>s9+P<(8P^ah-jhaCUZfzK=MkvmeB%BNR9g3avRiS~mV*Zl0r=ODb}3cnE=P zmz2n(R#sLvZf#>JGq*JnPMW$)DMDyCQJk=>9HtQ1_Ik3qPEn1gv#`P^0om;kse6no# zO1xF*FN9lq1>l={Nb8ll{(c4I2dt_wkOyFD3$o;m6%+5VBGCAgt0G}=m9NliuFQgfl0Cxy55^` zRPc+`{opFbyX=Pd_kYM=zIpHY20*YdUK8x;cu{ZN!#_QV10vir+OYzzcceUzX95KK zDT=mtTUN3a9uSfHHG=n;p$4pwLeK41RBRm~o^K5U5=!%eUCDZTKdTYX7T^;aF{WAN zgn6RTz5;Nar2ssJ5r2lR$!b?;GlL$00C$Lq(|OghmCQ;ssb9#-ewXS?(9E5zaxU3p z#v!E48n5l^D{POo(7n%2?uU+LLKmAkW4x#$+{wYgP$z?v$XGBJ*VFyYds#9pOCFSH zV)+<=IgJXtWXS!gsTSxWi8CAoERSo_rLetzp!Vs}?(#ku3mASPr*K>2Y)jCbj@3+~ zUt4FVfYt0PRn{COdg;{(O&$a@m?~*;6-;;C}3CX+pqRqw0%+DPF7Z0e00H~gst1uUn2 zvStQHN1ry{wMc85o}R9-TLsS_*qUo2q!P%olfEtTM7>m&cU0I2FiMm11FPX{9EUw6* z?I&GRng7NAj4~OD5pZ>aonKsBEVwEu7u>5;K0K7KBhI0mnwr|i-8$#Pdj0zKIf{Sp z-W|<)$7cKP=E#HG98Uh0k0G;E@{KF=9mo<$dVwMBEiDnxKPI^34MNDYlSENdy$%-M z2N1PnaS6vmc=Wy!nWAg_4eA)jd9t~6BhJt#?+O5(LWDX4T)j2<2lm{0zFjU1a@VYy z1ny?-HLBU!*+;arv~+ZU+!dL|D(u(yClR^Kh_l0mt=PuNNkmVA7-THS$*I!OfxXEa zJYlKYc^lERHk@BSItts@bAGZQxL!KrzjgK+Yw0^$ItgnE&0tF1zem@R|^#0T)0 zF_#A7bk`~fjb{S@tsn{PpYxOw#iUx$Ajvx=?%+_mcdIoaA%RvZvN^k8S`W}y!G_@Z zVZh!$1ro1uKQ>X=57%(4lIo#4mLTviW!!u7QecA<%&e@?g*~(K-8|;7kEGvF{d4%5bD0x!l9WI3MWJ*93)XuRL;={wnAFR*{j6tk#y6AM3RcR5QHL zLycx7<0<2az7#2|zIsBzEE3~X#K}rwmuY9N8DnTwxA#p7225NxTcxH#oaFE2GN|Fs zO|b(W@$&LQix&BPD)=F*_AfE9;s>fLShhEqJh7(K!LBOQDLIT4z>|v9j(3;o#AE26 zJn7$)3&wzoRXu~Io<#AvEnqPTtGr9=>*ulOCkEioL3A>JO^Z6NV5`ywNqiobj^;6P z7P&#K>9X0-f{;g=6ltl^Nk!`R5wBt#eX<5PQG)+knpqR_`A2ObA$RrNy}dzw{Kbvw zdaE+PHgp`3>_!hpsZld7!4kah{^Qw>F)b^f@#pRT$hyBes;r=pG~S=1!HX0q8sN0~ zBfENPTrsVur#B)v*wwWT+-^yO1$>{Wy|YuZ!Y-Thsj?2P6jBLQS0}@YB-JqGIG1`=lrqi@~1 z#Tn3#bM@*t;{4P~(QT`_Vq#4@a2KC|z|Y@bNo^XUC$oAf@C@78=3Bhp!H3Gd0%r!P z`}$T^1p~&4*Ek*r*%e&jIBCX7_Vo08DDI!7k`F`#uz3Yw+O4*7&X<}r$R6RjIF681 z`c_!6GQ0zP66keU3{e8P>E&tQC;bs~z%4Bhv>w79IAr)ZwhI)zc8?xCisG?-jeCoP zBxSGD46xga7ry|DOULjLqyyrI6v4vZoRPGLr-(=$2I$hkHL1QT zRdC8=kn%V=kLNB7#(Gr%^dvW+tRtsZe>LUz5 z9IcTD3(L!+<+dh=hw?`xN;&FA3#mjSwJMogvC3FWxPV8VD{E@Ts1Hh8(iwSg1qF~B z8&!N7vEN%6F}`OTLYLl7(8^K(=p0BC`c1GvQhPqZK)4)rP)l%N;M;ixBL+di8n@G< zbQw1EmAZq20|;9=fTVHr%|-Yy;cW+m5r-{Q=H(aHrFi#0KXA%|O$x zxx2dq=(S%ST!lQ?9~zbp!OZyn$#$2ZMfoD_yUYw6k%cN?VRX__fZx)3N3+SPX!k6H zgKbF_%e{KN2F_+L$*O@kFr|);ot=A5pb8w!>YaeL0zZ1)j*N_q!}=fO-Tq>^wAYhy zb|QG(4=a;g+a-;=<35>|I!t?!u1H?9KrmZS{{qI{FBA?TCOkZiGl1Qw7ZTCS(HgnW z)>>LxNF!_$-vQ&Q)#6dz$}iu(-DA~lwjI(Kg47IZM8$e_1=?V5dwaPzxeXpCTM3A$ znx583>!UOv1IS| ze+LA1mB|L2<6Gx=*DL!{novr|d#hsUCCJm5mVtw(Jrh=oYD9YDUV9`?yGzN@RehhG z@UYY=J`rI>y*VbxZ5O|SIz<&FmMM7b^-!2ua4BkQLrNwcn1gK(8EWqZD~gs*<@65` zXeqN^01DkdH#|JNv0(|jHNP^u#p*%_Lm+a zM0`Lc3K>z$4g5?e$#fX- zJ(V9)QwzHitfNtH{J9kd=7r_PNi)>f1~P||B!UIKMBA3nr)uslS|{JUHKh@Sq{Y5}9CY^;s~Rj?v(jaAWa$rkZ)i7)5;Xm7+#TmZ)$ z;7YCHXrSseYOfR^A_WDNUA=Ne!B*1cF51G%my~7j=G(Wjvfa5_HSkt2@co>MwSvCI z&Y>Y?&Tl~aM%tq{raTDuPSxz}iixy;x?i$dh7768PL4X3L2^pjRf3$7>!iUQQ%&@{ zuuDL`COcyb@^JT_D!SI8sD3z&(_*3$WB?HF481oV%RmrDa++l@w>_gAC?dLbD}H`7 zDd`dS^%vudEEydO7@_3zCs6998DyB9y_r>uUip~;nB>&CACe9tgjFZcq4r>PAONYH z&NlmvDPhzjK0ZEX<~0UJQ*jlQaI}LSYs73@I{ByWX_kJ-U1kSJw0XK~7h3XFDLmrA zfx~W9igX=#Qo29$L(k^UPS6xm?9PEjxNbI(S}6)7JYG)#`R;Uoa)@$kvx&;2B0d9l ze>O3DwAd`Du&_C^S*=?@5dWv`E!;~#%K+*WCEfylX?3_YM;nwL7x%vQzpEJ8W(<=t zg1Oaf<^Tu3=IowZSO@^7b9#6VLg@aOb-)P^uW>*9@q*({59D$F{joyxaUS1>x9aLA z5Ivf?|LExG49JO^S0Cz+Xof{b^1T1)4){Ygdl2+5QY{xbf4B6$MNP*!Vq0#oDmUJ) zj*iv7)GknU*x1;(%+UQM7Lz+WJH3kKu%5Xq-z+LOKi`|^*3Nf1T1TNBwlx0!Og8YE3o`NvQW1md)9{){lm1i(knBS;*cncvPCNSCk$*_8?R`SQw(L+ zID*8{EQRE<@DB)3)=I-@HRzJVK{X3SWQP|K1{ecg7;r-a*X-|fx*&dd=<7x?@Gpdd zCr^2KN44`!Co0Pz+*&;u1pcwNH1I~lZEwV2jvDZn^Wj_==+PgS`qM$bSoR{-q<6*R ziC&xbrcw&)iss!1RMy%g-xbBp23x;NfR zJvX+t3XBqc{rm4dKaEpQv$FASYl{B@9vI;a(zimM&`KG|M-|oQ9(g> z`$$+P>){*T8~J~b%>^!3H&31|L@Z&kO%S+J_+>bkvj>AiL1(L z#d#8XH{XKlp>VwLn4d6S)x1yVUFSOk14@wrNWq!>mMg>goVO#6bnDf}YYfP1iWEFH;r!0UrjoZs zW)~J15%y?&e0=pvhy0bN?vRfr6MkT}Whh9oppFgt`y_U7 zUj*}!9mTtR4jbRd*ow3|lA-z%{4UcV#_^>;QafJ-G=V(p1!>3l?(S~j5einpzJQ60 zwpStl(VZUv0!^-xI+kOdPIrE^%)*;^OKAYY9Q@lEFbNa!09<^05CE?QQ1GU>&UX1j ziUs&)0q%~LyHQnH3DQL+u=2<9DZ?x0-J*mPu*u-LD5JYT<^kfIR~q&t^jhO%%2ybH zb}u3mHW`#o!_mYd7Z;cLuGsT&`^gcP5kDUvhqbZ=$T-T=_pU<<`p&s(7zRWq<8(_S znG6>m(gw;>!DN*8=0L@B#klvY3`$B$t})AcKqSDH8E!X&wt#>@W*nt{d`-b%J9G9E zh|~oh38h_8S5u>Qjbm8>4lHs!>cG=%}u3?glyNbpoc0)kIGH}>|bVZVya zM)!W*mNB#+T;7d!*=m6R3Zizp>oL1=zahE^Q(WlYt05M7AugW#u5cc4ejK~UMT=2( zU>Ep3DdYAO;cgZMYXReFP;K5(XpxP@3_^R4t}H0e33${$o=P_!2at zoy^>7t7bwKtfkA*CnNu2$ztCT;|3b+WbIKhFUv1 z_@Oie$Pokr21#C!YCw7b3Es`k4O44aWK;ufGzoIq)vH$<8XJ|i)aJoC<=?*L(bSPUQnw3O|3V18{5N7(qe7bCB1JV>ehACt3bSf%v;QzOVM1p3+L8)80aYJPs{N6w8RSIXRt_oh4om>=y#+>c#! z@l^gF1PN|X3yj*$H|!cjpR%zS5rv4~zXI#HH#0{p?j}=ih=`qQvLc}NpOo@D*wYT5G%rIiZFeE`NduI-!1(L%gw4CQdohJZV zo<-F(?VSDd|LFyw!qgVAgj{9y$@`ZN>j<44T;Xpl<^Xn|r4PY!@bc%g%a#1tRV=Qx z%=rvn`o4BSJcW4!#=E;VmeLOi63`bHaMxLJ$%s`yv+FA3t)6(SY%e&TYwKAvVk&?* ztE_!*IVC3HQA%DZi@CP482K;7-zdysmOkpepF_z)in-11cbsV=K2cnF{d@xD=P^-{ z@1gFuv2QiiBH>|q=fWCfT^qIAdQTVTjAKbYFx8!S60MS7DKa6N`ogr`mznY`AA2`!|e{W*^cKfTp*3;0k$4p(p zp$2cm%nGzIPoPj4h`A)sS9V;3nFh=O_KPJ6_hbDvV#U4^JqNij1zWFFr9VhS@H#mC z!9n@|8KX}_hutSg(BBBe>`KObF|(gtYzH$7*u?86tyC=$_I7?b6NeHWY0oM%FxStx zzV~cwB>TU-p$ah-Qw1RoX=(BoQop^fDhwhms<|DvW^dTPk&tkNxCvq}7Zel7*z{Gh z2g%d!Vqv9y$h~Q@zxBO%&Wr-hY&GJ!R*e&o5fjSpL*8hDmloXK-VQbR=QK18XXbP= zF)M%)>0({}At#RnSP5bxbPfbvzl4<*rg>M>j`k5jo!7?JWrjS+G6178#RDkQ)6(V0e2%$qr)uY>w^Nkj^ws&DU!nERyLwQ963e@ zuS>+?ta`1G=)OlsYfQ%ga|hx*o+g(FIWj)9@?@)RVqyXkp0yRlB`hH+`8%6kde`(% zeyBV3%?Cw16c`OvQ&{`XrWftU?t`xN#b=)Hju-VMVQK{^Q=wjb0HD>8&}idc-Y8A3p!oPUEY#N_ zy0(E2u(17v;{s?lD=XUo|HZ|{_o1={MLHn8uAm)4iEuCTn^#Eu-ea?|(){8)ppQ_> z?W|^p=a+Cy36zo`MbU_kiU}ZGP0S>;RVUK3{<|R~M*d>;cQTH$)ycsosMhGo1+DX= zp&%K7h?p2=Pahwj?&V#m?z{_n!co&d zIlkBBln3N=C#tFULgK?3!>@00WJL{U)_qw7d$O%WPqBh{3S3L=t#Kj(v9Q+eV(RM8inpC@&v}_cz1e-re-;)qVkt~v6d#~Dpf#OAp-L?M{m+~s zO=l_Go+6_@P|3w!zPv&G;K2hRDjQS`FEi4!Yy~ zfG^&lhGIC%3z8d@+CF{yq{stpM`_0*t^|x!YjX>8(=(3T4OKi@*5)N zf4#zVsPx0Lu0jENFza37-hD+7D}f*k%PIQ#`U2oOgBlb#T~;Xg&e}xPF%;?S`f0%U zGUe~+0aMX(-3=*!jj@jq@A4c#WBaF4wDqh2hhO2|x_563MDJcT01)(^&s`4kbTapw z9|nwpkgk-ehzsO+^Cvc8mRgB)v;*`+Y<#*#*}Z53Tq#e71!FS73G`4J_{WII_8OCC znjk17o!&#eN6ylR|$zP(y234d8=77t8bK&*{_tyPhR$p^~kXIgl~5>{wVq%)*ij z-4oECgFu`E@VM7yV=OT-Uop2NUa=l7i1<2M<7>{m%hOOuE|-Rfx|q%3+f``4X$+-gip z`NrD0lv1LeL|*!Bf4WL?xg$3_)`ADb*~(vD%Z>RrxAO&pz24z8RjuGghv4|6tL5k` z$G}Pr7F9eJ0({NDuq^)bCMVYAl~{@}^^5ostK~4>!W$9KujG6c@;Ry>8rlc4d|RX)>b22Hn#t0a89jZz zeX9f^*ErJ&u4=xu*UwVU#oT>tHB`1DvJF5(Z>@6M)L+s=1eb;Il+<4H?o!+Hd`rbE zBK?e*qM@#CQjg(1XrKXF110KxX3a{6{xmtLt`!pf&MukI_5sK!tGZ6|p@zR-9(f(* z#DT|DI5ri3Zs#%)wiF|iD{znE;-C522LT`k8z|YVlcapCb^3xPX&dhP4 z8~D^qA&q`_S%9QMDmCbga$HJJ)h&}wbq3W97;vp>76!(&IhEk5Z3QfU?iw+ccQY9J zbJgD7d8x^x4n?y@rdvU-FqiV{V#M<3VLt ztYBArP#Q0;rzH(2(dU>ZB2PoeFpkGi@mQIxIft^pW|`F-Kxc48=&6A!;SccTq4!dk zu-tv0g{T;u#Hg2_4E@?!-;dTR*jHbag8P#XP`{?ISC9*CqI5QeKriA$BKNyQ`INlK zmx0I8aiKE0OYNJ%<=pcDiQQ`%;uz{Nbjh8cCt4b}R&5{~8a5Z^=RZUExOx>62Sp*A zjuaZ~I=Mohm~jPj8aFA6CbR>9w?V=~X^`%3)t~j}Yng^+e(54Gy)|#&M#>vX7s`*! z*Zh-}uyTIO-sGQ3CvBIs+*B!Y{4HjBYeZL`xmR@c(}S15TmNLNCl(wqU*ZMM1F6PY zE=STn<)3B0^JA0U5S_0}wmi#|*E1@?%!h3`4GyBRqXV9txePv`ezA?S*BeKa@W?u> zDF)%QHmNy4faPBgJ$`_;O>n9NI9u(8xlNKs`+8+4PEVFC`sZ$OjZ;vL=l_T8LVmqU zhIkqGIo<_*F_%iceO{H`msHKvI;`-eUS{#G&m}@!YFf$gjm@mwy3aYRFVvMMIyI%5 zRC(HooXQvDbEZ&07u=65ItS$!9UGRm;*0oJQ{JgbzdUjlKX7c~0!ZSJ#p@<)eq(dD zo#9D(`yriV_*45e^(sx4N)fnZr#iURe&!L& z-(Tk|+Amw{`7Z%L19!^TJ%1Me)KPA6e9KN66&x;hAed7g>0S?gnD7K|tfZ7}h?w#< zDODTWM72!wH7ANU5q06?Ah&o^I;Dw~P9}?R5X2mmS8kK8xQb1($`m=a<`3Xx_zCO5 z4Q0<2^&S2_=G#?vvliGK@;nG#);~L5E2X{OQQyyMJwK5U%{4VMCZYP@}|1{K#S?xP*PD38|5KS=c z98nbx`pG>J6Tyw0FZsN8+^DMEuFlc#@}YuAWc{w9OUGrIt|{Y5+$og{mQ;!wravFe zHOpcSQwdH!?rM|LNc0$eag^DHSmBY4BMd@PuudRByl<|$g^#%r!#Q5KW@r?G=|YK4VS>tAsN}J~7<`oz_++MuQe|(Ap1|a8(0Z zJggHCt%efCcTvH;_3yv`l94T%(eL{f+3)0S+^V@-mlLv0uv7&HpOqKMOkd6PqV{m> z<`rYg3j?GNi^MVLh@|l(lHdiSd%7=Z-DY~XpMjsNYJyjCokE{e*?9PET;s)&O=)W1 zy;99ul&$WEzrkS9#n>BXx91pFeIG;Te^&i^d9{)!OG9r@y+F4m76_op#fD4;Vp#-W zcikisfwe+ekR^sojj1FEhxkqW;uv|EG4A?2gr$ceSMRxBJg0iX&>{~fzJl{t<{b6W zIMh>qlU2hq^4@*MNu~Y47aEtu<60mRVwt~?W1ycc6D}pz9DzSANr5JJbE}0>yc!^J zD}B7^f5`hL>+5}jy3=mGJDB&^s+g92SS$9UV>aje_;K@~^jS1H=nrGTJ39f_yokO& zAQ>CC?Y$ikgfo57eT%qS3)FWj-|nR|Wj z&tjB)JI}0)8s27&2bUaAHvS6e*CVX?)4d$VJ#CKVO^w-|xU)AMj69(qf;07fcZ*r< z)5c#U-;VIAn|dhOcw-dj%~oJLsaW5=}@4a3M7rM{fE z&g|_?w$_ejitpN;DkQTT`uNDVb1xOVeQU^5vb2@5VNQAWY^h*^uJze2PSjsZv)`Of zNn(W%r`>$p<7g+6cN_J(nBb^MdMhA0iCJw+CK)kwvXyf4TwB|zlt{H6ym^Xb7XP+h zx3lSuujh-hP91}|X|5Ni-;bz}x1v3_(Ianv{&Y9BdH`mLc@{PHgOg%R#* z4gHyVSE8BNcUl$m<4Lu%#1qHbF4Z&=2gg68W8)lklbOZFxcxU`E&{chL#Z+wbgmql z$2LEAG?MJ$HFq>$@)0g9)}JM1ITRoJ<4=(JQMF1d(dRBpm&Bi2-E|)oaiXA;4|b#^ zj=nV}cjDGvLf_fw1bP|&$K`uJ4rbf`n_j)EuwKMd6-Le1nXh=&82|6eViV{C`1gjh z-WB#MuHxVRtGvi&qOgq#x-QN&rZ5QS5?9kGTpMeb%!nw@!yY4NEHU-oe@|rr@CmD5 zCP_F>q>>6=$`by-`P4eagb9B~pV@I0{#geGg4NFm@7N0W#t2%wP08#B4VQb011_qG z^^kf+K9vc(+nXs9r1@UxPHA+^B?O$tbT6fDiI@^;*Pm#ZP=2B6hqDX*lwys!-Zf5s zu}ca#7mvUUSks@JBg1YPyY$9|pro$0D5sku9j#iScv=1G#bf;R(vbELr6l#!5fu?R z`|3YYY8hY`dyRB`cYjMZtm5T0gsbupI_!H@8W;`XIiSzt693EaAZ|i z|C9R7t!cccmSh?)G4BX8b^6L_K30mk?SsF!m04WCfu1^9%x!Nm&BH=1pC$KALCJaY z9pb_7^^pY@a$jYtj_=2WrWCh`9gO5hU!9ZZFv*7fz3J;#Ne`$REyZzK#b&1#6n)xg zs5QeueX)G02l-{-m;=o7(VMS*Tnp>24{d&y@QB8-<={Ri`MV8?mFy~vAuXfa9Efvv zY8w$;j@u-u7M<$+>dzMRawu9f>=8+XL`iftydI#TbwrHZDecR6tC>h4tTmkYwN)vTQsRRW1- z|6;3TQx#bWVp^Ch!P97z#5DM0O(GA*tKmHPKlU8#JN^n1ToJUZ{qtRQ(e**ScXk!) zZB47k1TXh&n!T`6FEr=4wTu&bRuBQT#zzL^bAxE;*zo-I)%_7X(FcF#rOh7P<6QNe zpkvKj&P;AQMe_-fduCqbfjIw+rSOCjtx<>C@$sSv+1|xpbUM6(k=4o)MWHpPDxj#7r9UOTLdX2+t@VD7ehsj z^or2YoecL57WKvTM52`~UrpxPQchTLxHPwJ+(H)Vv>(_FdP)54O9inGn2DF=`44IrDcSCRLp!oj<3I?@DxSAJaa(UYk7EMFR$EYL#Mo0?{jCzCH;FktC{WL37Z|F%6$DM2L@_-wEe~; zOBK`ko{hBv_AXV{uSQ=*;8@fY=M(+*T{Wn#S?6g=5sstmevBx|!%jom@I({+SCXOD z(%ISB(Ln$re6gT(`t2qB!3~F3T(Q_`zOqP6&Wa=L7;%CYblOe5y7c5COdB^3qzZ>{5@g&9 zgb)XqEm^iu+pgQ_6VF%7{1=o<{a<@v-Se@(4}U~K6`^0s2J>L<)&raDDpBPVE+10M zvs9#%O?hghRlc%hI~*J|3CPvkVn_L1q+q&?m*jkIwWYf2++{~XT`2^YE2EX`6Z!~7E+%~j zQXQrv4i@u?9h&toiVi<()fowJY|mxhkMS-QXm`F*yOTb$^GWNti8=d^4Tl!j&ykCR zwM<${u004i8x9IgWL67dWV(jGmpM3)3Hs4qN43dQFHf)Xw;( zb^ZNhxN!*qNr=kV*I9bztVXR;b1T?!PD_UM{IC*rf0NxiSMUENmZJSZ>}mUZ>pNNM zY@WR3&J40m7iiiNl_NkPFkCoN7WKgP@IY+lH~#`Vl37M_GX6uHM}|6Qw6}e??K;oy zKSI$L{`FJwVPo$m8DA;$xSGPn}cAYJ6^blm#bNkg;0cc>d8eEQ1B}p#o6VFE=lc_ zGr)d-O|S&67*7mBb(cfGAq&C`EjJ=sM7lG4(PSCGQBy0S{#ueMf z6j{#qLlU>2E_s@N)#yJ%{ zF3vjPu0em?(-zJzzc+gSy~8n1h#-mkiwmDDyT|%f68Q>YLFg*?MG?}VnoZxrD2f+w zCDQvyaWTpwm*4I=zm`UIg&O-OqBP12O`kvQb#07SZxb?2Fe+R7zMkC*tXc@8%lV$k z8?!XZFm`Tij8{siiUD4h5kb9iJoPUk)cUqry2L(+fBeEx(f#DSFvBA>1NlVRv_K^{ zrNG_!BGXO%V~`|F{fiDk3u!0J`|NO8&Dl|1zzlNcUZ}jXW5{cU7Bov14f>ykD3cc6 z59jpOg97m?InOhmHwDJ792{NZ@V)R@>Zni%1ytYG94ypt+rFa^n_s=F9X5_|{1yR3 z_oP;eBKJ&$m_hn@rY`sTJLFnmgzV#I`Z;Brb-7h<3J60G{VBd}w+pz&T@TZKNBL%Y zYn)_jNvv&>r*Tg4{jGk|ftcs%t;x0SZ{kHXxyDV`bVsp?f`ZrL_>VLJaDWc^+(Ja) zaGHAywrb0OBORF@ar0b%l2s zb-S;trUH3-`let{ONBBw_+Py*GTWosjcg5MYPw&%wPt*JoOcCo75s`SJN~^j0bw}Q zLCmJ)j-JYvjHWnarxX|_q_PXZBaP0v{jm=T@O|Mlnh+Z2e$Feki z_hqm3VA%6d*8vssELWa@?*dx5)Hh_>S*$CRJv@K!bTlj?y@-T|su(?=8mxh|)NkC{ z@9eE2HKIpJJiI&L&Yb%^v(tV10+)^j-%S<{>3o>9&j(F>Hdgr^B)K@QzI_PgFu!XP zw?z($E7`2)-e*3R$Nj*ew_NpKb^|x3_*KngM3QhR4<^XF^IGk)m!4|5G9d)-q(;}) z2{afNkfek%v$T|f4moAj_s8`?8+YkRpX!Zlv4xO?_RO67vb;-& zycpuAx`yEkgLMjTCWwQYuc>b*Sorc5(KzK!8OLZmPPc1-;lB&UZa-ZNBxCy4FoWsA z=XPRjrmK%deB3*`uG%?^(v!sRD>PB;;+vZ=wWs}IpXQq6$MB>=SoW%&6bwpI?ebMGPX0HGy z#ar;mbmInL&F6CCeb%c>I3>pzsl}2jCj`gZ*EF_C{>~2zt6@0_)+7`vBI*yX>y!rFpN@;Y4%|EaftM_WVOA5zm4m zRvOa)4rlap~f+XJWY1 z!~-%+J&s4-1V?342YlzlbWk^ji8EN)Zctlt?IkuYI*li?%I8&EKGJlZ`lKBrPOq6p zq667XI|n%eet948n7oo9yGj#H-7RPrSiaJ?lalsvVJ^jrj_Hc}4Gge}qqNEfKf~SH z{I;_n`biddv-Rsk&f^z24#)rU85e7YE%Le8R1=siFS!Txj}t;d$5IGrONOFHUciUB zUorg1&!Hvt8+!z9;oaj+h0>E(r>q>rAxZQz=7i%Y+Obj_5n28-p@3Pk_i~D`;`fqx zo%)}>bMV3MIF}5jT;YtS=3vo*$F-mnZ0M%Y;;Na z*RLJ;SWbpOvan)J==3s`-})GR^YQvKF%MUKM#{B_KzW7vKZyfLDqh+>IlL?F?wJ=E zvNY)^3`cQD<8UmF=)tccqTeQIA+1=uF>MH4xL#@eQ6$c#{-+n2R~_FdkNk$en?6&k zY#1apjr_&tdk`$jSIGWZ?%SD<%(*A)d|@9sp6n|8jiP<hVP{VzZ@bDV!_tzZzF;8^e@WkJf(GHSMF?3@cdRCWk(H59gk zG!9Oyx2ReU7L0B5KDDyRzgt2+5}y(#ahL~Wj)Q(aktMm5=YGJ>ZzuU`3_3LU@<0F3*i zQ#Q&LVxWCJk}VSlE6sb!0j%U(c;V{sRh1N1S4DX3&q z3AmIJ{Z3Df$*^320dMF4udW-1YAc};5eCZEHB=tXBjGD6c43lm5{4|d_F6hRPGRyB z28TYbjg>(|9DGxQz{XE(m}AMAAZ`kv%4Oz*X?Wr_%zbZC@JPn+IYJ){O!mXDG)v`% zh>eZSE;GU3uqarTY#o#SLgS2$d)vb=j4tI|*L2~taM(Qcx9gkP(_ce$sdjJ;bGCQF zXuc+=J=#yB-iaj7xh@OJ&h+a$ViC}i3so`b@ogJ5fT>QdahpEqQPFEjkwOZ<@G!KQ z9FG{p+8Xal()K|Y31*1r_pdK78wFh@&}rHpD~K7x(t_pLsT!> zDvh7|Tzc&cLnECr{3Zt8&{6b_oMQ=w>~K6jz;>|dw>!Ys6(HG-pm`ugGNRyp?d4P@ z7AB@__=W)JxH_oyxVF%N+y@IXhc3vxJWE)ubQLp%N6RvH6|QunZsT&5s6Fxd$Xj2z zWnc-}H4QfNq{+X+%jQ4-?)O7!h{u@&L1w;BM`r*A1HGLZ&=GygpDKm4n{Owh{sj}D zPyvf05rB~b=wXzE7BOg-wJ4h-Sq*lFM%g1MO0@9}z-&7|A76$-7wjZViHfShm^A`= z4Omq2;L>!@pO?Niz{V;i?2Qvu`DVbXtZu>7`BvGt@2pwfIkB^TD7Zj`N$&Nx2orJf zvC=-aG}~3h+i5VVl(tOiF!c%3{LAW0LQ2{d!6uITaY)0y1-#nF-#>=ee$D6B!_HX2 zb7(cjw0&90>+8>dC1z~p8-?z%407DIJ9qCgdcyEOMwFIKIr@Pk>Ow$q7pGOx0#x!E zZ^SpPWAW|%Dw;R1ORgOi|GPlepP|2ewI4WFzb!Pb!aS&anD5uG(A3mAY7LeN-vA@x z17D~xsoxhT>;bd$)>c+-r@P8#_u&gKmSF;OIxXXD2l|Sk*9+Q{9z0;~vOq>gLWc%a zrx(*QLEpYDCKuzhlny20j7&&3*aq@4hV7)sSo!+4$OcLlx6(dll%^O9E z;F{6)ZvmpTtTUyy;ZS=VCvBY^aJMuSI`pDWMxmj8Wu?sZ*bX>=x44T-We2TC?Nig? zr_{f|5$A@NCL^1)gaUx3!K zt3oHlJ@^U~+*=eB8u~|XQ`4V2Zs|gEOloSq<{?Z;O1yc)hU@^R#>|EA+O5D4Sf)QK zvB=kD-lh$n<3xUWA{@%F27a7G%t|#we0IcmC`;O{}bm zn%#|pE~0WL_|gPv7}xK7injf(C`YMb=TN)0E#gze*Y`65iHPprHT7Tgx7Z^NQSl;@ zId#Z`!JB-|XB_Vs8&pkOdDP3tY&OqFD%KBDmQDj^CLjGTw*Ca1sy_T4hc}f(h6-g0 z^(2`qLlMqwy|3$e zp6fhy>~r?spM8Jsd);fT`)spZWa2S;kvFiiumTE>0it@q+IScuTxxKuyj1643@FuZM4tMp^;fpi^Pg*vBm z5aEN02%*s1w?-2NegA<%EiJ7Zudb)&y+NAam^0@^1p;2#bd3;blG8fcx*reRZsV%U z`en%)et&Ji>{{gOE~{{Z&z8UE#V&o!Xq%k#;fW zcjTAYu^9|(>@GIB1|JR(^wfM^L9-EgqYm}6b91>9mj0yo$CdBkai+OLB4=_9>KW5( z?RHXz8UwD~5JX6FA(EyrSN59zEVHVN+)U%&Xf-=C^S!s*`H2cYgoKG2pN%i(J5wgLCNwb>l{+80hstE1l%BiQkEAuXQ%OI~RlOW4?F6N{3ceU= zbA$?9`D3fv^SyP*_kbm(#AI@8ELA7fGdtlrFLR~O={Aj5#oR4TCI$wh0q1R=(Y&8? zU=O1<_wewLQ@%leE=3Ec1_i|NlGxtyMq=#rXxrNHzzE;Q z5Zn8IgywW9)FoQi-jp=Xdii*I78<1gth+~3Ik(2PK})enN>4{eXYiadV~&yFdZPT3 zV4C=TJV~T+3Tq~V0cUgRr^o)Ode!~evPCinQKN>+->p)doT3{S9$(5W7Au(Cd%UEF zad;`ZWq_51Q)+2@m}$VlRBDbxZSqu9Utb)}{5dqF>)FyYQRExAfhfqS8DqExeMUws zs;#GgKVSP35n40u{B>vcXW3B+rDy#833;A@Zh0o=yRwGHsEnV@(A{F-EKwM2tNgTw ziXpo8nLlxxq&c22Ffa&H6f-XRk5vDFefe6mmYOIx)_Im`H}kB0TUnQ`!N|39d?zfA zw>PN$seZJH^X_6vCEd2`a;8i?W%tqA`*1M8i3bctW{Oea6(|ZyrjI=Tm(P$+O{!{t zs0el6i6|PTmxJ1;{rlH?HYDD>^1U_u^NlxK=(nk@I6Eaz=CVs}-xGV(IZ?0Up7jrR z)84Vq@9ozGx@Wx}K7YAsZ#Y{S=Y;MCoy(>|1QzZ`2wGpMA0YfTI=5lN8Q!_Y{#umYV1tc zd9nkGCrbbFWLMWi30ev7t^;)WSFl^dr^6PyvdohCjvE{3X&AW{hMxICtFehB*MbW9 zpZj%!Q0w1ht^Qm?P`)(RIq<`#m?-_cI!klUSL(FpK1}!9?ea{@8w?ZE+8(d*m$ZA& zB}JZHx)pRscl%2Xflx{c8xg>ag#MXW>B25S!BOx68%JEm+Av9|Lxz|QEF7|FjnxU*6@{l&c!qh zjY|#mU+9j)is=Zyk9-W&P9o8<$oGHwOVE}NI+4wTa>mpCt=60qf94nNg?E41_T^cj z#%vqk-+*iB=~urF1+H{-Cxz_bv*)}m%Azl((mQc2Gj4~q;Yiza`Aq5p_J0M1PvJ!l zVc~-pSVHyP5-L~ThUR^y>NxQ3PYPe#&Y!(5g0)*|4FlK4)#VmX7#rH_J&Up8ruBKg z*EWhNyN#Y|B7npa)x{i0B&7G*=jh+9e6;n!V5#XT?`Q z!Mn|NH^nhXm?-gxC0^`2CzhZts3qSv&myQ;!rV9Tuh`1tW$3W{?jtSJuibKYNn%+s zWSa@ClPd|)`pIC$FSIcEURaZS_*vih^<4bk(xdEsK642ce}~1#+K*Eepy)uQ)LmeU zLdE;)k=-W^wYvFg^FG<}qsLIeU2lXhqzd*rv){&nA7r^~h)TlYrXktlwt2s;$;_qT z*~QGdsRdE(*gg&VP-0t-7jaGjFZoTO)G9#b>D{4zR5& zKmPB`wWp@Y1d?v%_IWn;@@~(DGYmLNIDYlW`XNc2ei;_R6jyWyJ}85HDG-e+hsfB4 zmlDx^cp1Qpm#3q@<0bi9EJ=q^l#Y-u*)GZ8Wh42LeJ{$^zC!XP*AV$K9xu!HF%g8v zE`0faotLR&`0fv!2GEd+4V0iI*rJ#5`5W<}ev)E^=oS!8Tbtri#o0^+zbv%ANe$sj zon?IZdT04v@;dn`@-loi3F$dx+uFaECV#wBrlo1&eGmO7-CJvN8UEYo8f=*cC!)>U z?Irqy58OFMduTlgpA;NzG8+$LS8*4XE#TWXGt}JvbaGPYVx`z0~O(-px+kt6M~rhcHTW^Q=*ibmB`;8mqr{(THe*H(7Vyni@; z!>8p63vGElDusyVBsG`;8Kt&D3$S~)tm|lw=Zt0TIZ&Z%BgBqE9t)-J;?T2*OclZ} zXcxm*?fl@lx<7xoO9b|pweaS$gmI?JzLT2nT|4%6cavHDeCK9Q-_xCzKK;E+XSI?g zn)2Ld%qx6`I#*k%?!Vu(W$p^nPn+Bh)XI<`plrH4H`@AD@jmQ|;55efPAK#371-)| zDy=6x1e@aQmre$*x%A#WF0XAQ6>R^b?0dxmTZQ~R4`YjdeTAN9O%bmbntGXHvbheh zCLSIjKjZM0JXuJnq3sk6SQxl12EB}Sp@NTU<#kMm{H9J)*l!Ii@bGr+lmb@#mk&FpgRFMy%uQ zU!m=Eg}VXmYf!TxP~s?pQu7RLBV4rhhHW6Gw2(jCuDz>!t0qy*{<3Fo(5;%(ton#Je@+g)#kAMWvTjqkJ$8gVPWa|P-+&ArnLk;|MmYRy#`OdgGj(Om&{ijUFvl-J3V}_aB8v9sp{=Ji5ReRT7EWpFr z@XbZlMl6G;6JxSo=gyxiygbq}aq#=DvA==@2jYX>c4p=*92Xv~4$!5;{}CnncvIqS z=E@5PRKl{TCZtATy~+Mz0txchos!Mnur!^ufCk}-My{Ishk-oioKKGaWRNekDg#<^dUG~Kl zllG!tnjP2^zw{W!mgv&nWW2bK3&-T&)U=zfyZczk>DfW z!$0X=fdp~nMi5Z;6O-Y5C5AWg)X(%%n?KXxa~?3P)ryGG$6iEva<{OocXxnz*o8A_ zGn{j?-WJK6B`bZzy3!inuomaflZzp$I32nYe*T}}wqH@zMg;3SY~A4eWOni8qcq!P zON)s~cf+Q>R{6yCu0wR+whx{CmXVewyk`$-Cn@P(`{@(zD1^EN&abG60=cF*Lyg7! z%{()yf(@fOyR$zP`OBnT{Z?J4G|7BPm!?3{f&FCn1xriPfTp9qx*7>HBrM3PQZmXQ zXDRhAe0*yi;XyE|`O^hjarN1^&;8N)q<5z~WySF3{hs)4iFbMrH2NQq2Te{_I$Izd zNab(`IwyE;4rr>aj{m$1moYjKZPIVD>J}bIIvnazT7=>!;~VR6kfl@ICLV7G9`j!t zpGbW|bJlCdG=iCxE=+y;HCxt(Nv@W=rxL8Ymqx3`yh_$^M4}T`hT*q|uZ{w03ZHn8Ql_q{June)MK7bg#-z;F4)My21F`yFq zLV7Bq;4t1J{)6kw(S;n>+cIfEg1k!|rR`7hhmLEWd6_M=u8RZ9uo$^I3_XqV4ILaN zAntw4xf0r-qeE$|Y0B zWgx#SKpE^=6S@z&_+F&bqV5p8Y**lz6)0`g3}h~pz4S_<*a#2jHqkm+8$nh2UvsLS z^Rd&vA(SOeH6>kH9f*9(1 zN7p%y-3I$TB^c3$R7qe(G||nG#)711&$JW|I~Na+sh%FV*aGgaA+kQskyGq=FVXRE zjD7c`bL#WcUy{yRW*hBkKNdf$k?hSXXc}0f7_UVipCyyLRY?s0Gg_`_6gTgYU+xAg z+AS0pxM!e>w|S`ZtQWq*Ih@JcsarFo`9serdi&8^B{$ArNZW=Q!o<8dCr5(s1jL~tA}}z)!pD;x&IVIT;C?2h-ir{5gvXx% zm!FTJBPNt)?v!R^g@pCUb%ryM`hgb}j&?gANH|9Od$5!~BWx4HVv_6An>%ic(etS! z>I#p4sC1^#mP}+h%s6SX`})(2`W+OuyL2EjfEi-faJEE^cHk~>XMxa68UB_%0%@Y0 z)P(w;rnqj_Fisv5cOyrMGsPEanz?HkKltV-EBQa#vn=*Y#WixhcGllB`xtZ-Gi8mU z-}S~_m+AYDz7zfs6xxT69-Z%o)gkay*gGaBLYg>`SsQ}hT8P9j?OM;Px=lWui>AxX z_8~n_o{PNsCCD=H-LQDG!`J~KiGZ#gO83GC4w;1$XMsupgeA1fJ=yZczP(Oh9su;N ztfG=5LE0+NzBaF-QC5aY8S^e-;m;!*s0pKW)(w}7q?kHT1dORz@g-ISEh!!@5$N3a z*1t;8E<<$N5{}Bf5T<_Mw!HerXdCllIEmoaf3lNe;*=7`0wD83cuWWfkRm^*DFc`R zfx!dx74yJNPKO7%dc?7HCplblGV1(GqZ+fXEGw)g7z;5dvGi1!S6$Oe_7}`atttv+ zG&l)1(5-9{yCii1sFRu5*mPj2gRNLOl@UfgZvf519|7GU#5q#J8@l=LgSqN>VK}1fJpTB-?vApbiLVbEFBM>oIRT!j)uX#;yd50fkD5&FL+``PvE26K7^=>ZN-S=Od>m)>-1Ivp?%Coj`vYM<>XnTkE@kys^*;L|&zFOH` zb!vQy?$*O%mGZEH&&xav>aaa*w1Nfb88tQcpZ2K#+OX0}@fod8RpLuWHx4Ac2xmOI zPHOM0kG=AAQ%d*hTkSVGx|e#+ZoJ88Z0a@PTd~SU7pQc4=H9(;p?{X;u9x)iGf=y} zKNyf@3 z64uUJSVRcxKi5b>8)BdJoF^;<6gbxV(FCJPkWFYjWYdz2OqTz@|6G23yNm?_)c#&@ z@YKvqYS&>nj`H6uK17r&fFT!Wj;5a*0vnLr*S`?Jflv>&y2eU7_9%;${J8T5!zR%D zy)Gd6M7Yx?k&>uYtr>L2QHnG1Y#?P%sEub0!5i?8`izRKqw)9b%8G`<-(lOCs}Y=M zg_vIA4u=hR^^0c5rL`*`HFP^#mN4eyV)c&e8=T>>IV&RL#17_^n z(1@c^(DDY}+xZH&sR#+w*Ro1A!d#2`=Z{DBe{7d#bl?;X5Ri`IM^V@va_9TVhRL(T zF5N1$L>Q_X*+dO?EHigj!jI;bgq7l%$iVQ{A0NefmT}|1Cr}ar94we!vI*%~7#d72>R6*+Qt`+xGTjaYtxcL)ed_pH1xHF;Q3_QFcUN50efnp5Xgikv~U)^7M& zkiX$}iX%r%Eb;u@(ScLmd5XGe5e9U%o4+Fexvcg~=W(&3*20Imy$9xvtHbh8sC*47 zm5aTsqr1y~uXECWVS8rcVxQ0ZepKD2A|6#6vM|jJCuB3WlIH?=Kn|&U z{G|(1;Q`maMmBVG`xuBub!qF5+-!XI=#9ME5z|4Yl@YD4YDsTij9Xsk*toHBCh%iV zS{>incK|K>E=0%RAl(mWxRY=Y_dl~KE1`V>s&#B?6FP?(sE^q@-GEAC{y2wA@|A>< zZc~lVKW~k9KFW4~Ir<}+)=##N3%JTJKZ#-W!BfqlgB#nPRVRBVCwCpX_PdAfK8q6I zsiTfzgSAT!@?Ui*%qOYud%GfRN->}F4WumoQDDqie{2t(^WaelDy!2hbb%zpSrHB8 zI(WzaV>mx5W;+z}>4K87vZi1dg4mU|^Yl$-B7@<>3f`^Z#_2jwGivYOvl^J3G_7)H zSNVBHnaSIC+R<7)QESK9wwpJJyKO(09q-(yOP%f3m5d7q}$V2I5cEn{8R$Xm7)Cm_MMpww9ieF}#?I@XLNkV|zx)zsU`FdvIXL%wE?s z3rl)B=7r3ac5L^3+$kx{Oianv?*nxe^S4us>V>k?#QD-sUY?BFJvK4Q&3%evy&0N2 zcGBnH1xxpMK(q`Ho^)z7W+ci}PW$J!m7ekYpsa5xex^8LM%mH$O>dFEL5dx>*XoHs zqr>x-*;yuL&#`{u3;k`fe_$&ZtGmoCTkLOj)DvpSjr3;52Zm#2cm^Fs1tdlcHjm5$Nh3!9^4fNlmYIY^Eu^y@B|)(Yk@g zLRLcGUDxrh?)$$=Hi_p4L+b&^UFi=$_if^H8J^xta7asupFxw7Y?JQQ zrXiemG{x0Duk>CgX>#%Am9Y2GV8wty!Drs zPXAP32w(@H9MgSLcb29f%o(r{eJVzL0pkYw4y!oxmN(8YtKu@)Oq2sgl#&h8J~Z1b zH?o+hy|YeGm}hAucARN;?3+YZ4I|Na2;hmRxVRIHKd$If5l%EsWv@PC@u>n*-+7i^)D%qN`q>j7f+$(;6|o9%yBfAD)o zJdG9j;*b8yI#&){RaF!%{u(w`=sp`GbgR8k6KvoXN#>}%dkDy zwD*9{29HA-%$4#g{F+KiN-&nf4;pA-Z(wc%PKTO$;VBPUnwYJogx*TjET-rC%2jBm zZ+_k`h`-j+@u=;1$|mloY0*6jiD~c8-^fT?m>qa4=N!=fqVvdqb}fv+)GhiCkH6$Y z>brQAXA5P)-9vAJgG%k4OhA@DGWwFKN_y->tR2Wd(1!n=6ze4@{vc?V-N%mOJA++m z<<$L+gB~EHpL)DlJ-AX(ZKix%C$;-=lw7jHg}CCst2ql_zD&;_;eFToT4j)jovTd1 z@sH1k=Q(9X0ymaLri#t)8L`SRj4?lt?+>`=g@z#50N`dk+QR^U6a4|xbLSf2y2ZiC ziFUuB>0N^0d`L5{oT#Ojbo@-)%WF!3Pfa;lC;~nl^n6+q!|A` z%1G?(i@xXO39EK!ztC-hmj~Q$$w4K^x>i=aV^s5zTf!erAgl&}7P|jg;&Ma*TNCfE z>ZCdQcz+%G#G=tEI_>JSLf)M!&JO2*QZql7hv0)m5C7p(ZtxGqraW20?Jhq{A-gSm8gTQcSN+Zd3amynHQaeAcT3t>NCXpAJnm+cYi_ z#}rQC7xZ+VBrjQ=rZg>Rf6mQ!&^)RU?u14O0#LUL2$yoh0*Q(%K7T_A;2{3rbQ`4j!y zpnr=0Psa4o?=BojOibJtR#RPldT*J8wfZT8^t|L`fg?v&ikN;BZ+aZRQX@af|NE=` zpnh=)=iFjUI`HYInf7tx1PH+Th?kf=_*{SZ2J-&d=zwTWp(;Vy0oon!Q0e0sO%a{ML zasw#P*w_fL4W2ce;%0tbsOcbOSx+Ek;{js!&q6c<1uEGi^6Lvf*Yfe;mm}W?2U*$J z_}%&7q=beD@n7_kd9j}#k;cu_MqauPUJ2%iC zbjS;x;g6@Ha%blDdg3(tH-0s=NVsRQ)4@EE`)+=%UQO5|TL;9xNtDVu3&AD{vGuY2VeMS|<5pi6*6 z$3#o(0rT)585;=oE%?Gt#)$V0u)Kv!&^?Wm=!2JFb$Y*R@PGPLgpL1os=TqDl424c z27673ybf((tP;8Jz7d_Uy3Yj@kP-|JZ!8+3PY`XWxcMDB&1A!r=D=CH3;G$jO=V*l z#TuGGl4*$}+~j523#CD4Vp0-0hlE5;n_hfE6Czy1kPWtp|K~c*fGY+w@9~vgROQa( zMcT5Oo1N4{x7&y6~-_RAL#Q&8UhbPxGAU zKGHeLsjeH7Iz$7kzNSSUw0R@__>%;Di^v#~+KK=oxo@8}X&m}eB_-o805BR@&LY8s zgD2dE6?b}Gz;>dNye=-5Jn%+y;p^k@%SPJ^AX(|sXzJ(^@-{FY^=S87HSi8;TOJkC zNh61#kz)s7kuReE<_Ef1C<<(Gpkg=suvJhZ-s9Nt81)78ih(oa%!)D`3xV`dp&c<1 zfNrZ3*UfF;GH~ow7;Ux1-&2B5-e!ZRS;rvjUt9omS%-f7Xz8jm z6DR#;fLeB9nglGf>%`iittbBf;H15z+7lR8-*~+vsupOnurV$s6Dr2Pp=}!Y51P>t)$Z%1?h8>3+)~~r+B-a#N zMtp?L@C?Q}1p56JMIIa~@F|0}o+-X0 zCNGiSsfPPS-*yfTo9-O|>j09YpR{%B`5EPPQxY$ZOV2m`JgR2Na=P<1-{@gEitWUt zU`@8$_SN5|7o`_I+z%@iJ^YNT&l-XHKKRLGF2(2*0wYvpVt8;kmh3RPOUWOA9~zgx z;AsyAHgG}m*~Yrs^WT4PPpi+I&Gt&74hiWay@nV7Vh|HGB=$w0Mkq zT$;)8C69Enk}J?~-W6cg`l=PZVbnW#jeHG*UC{YvqT|DeN8f>Wo5t1YB2nART zBl6E9Wz3Y4gCSCx`=kjUg7}eh{a+h!|J`6wZkbJb+k^3)omhg6m9%A_PD*LDA)6FE z7&(cN9a$I%hpA<`KdD~?vI`yQee&qhuH1Fyu4JTDJ;i%M;Sa3m?(CE^=#WQP#XGf) z)oQQ!f_9$iByixs8*I_Ywn&^CG#@)_CI*Hu9nG|QJP+iA8mtOeIApbnNMeKNm-& zARcKb@U9?y1u$1sRN(ne@g_-|_{N9fs2yYC1E37-&oTgJm~xrkiT)vcF82gH0qq~rGCgHRgX45NMHk7&9-O*j{A zdA3K#)5_FfEsJ$Ayt{Yj#8Fb=xfkS8I(_;9bw3sstl!Cx^KrNe+dh&X z55VyVxZ%Lk;TMc0;fPw#=30EmXP>C>aGj@7{X3^;X6XMhuK*@z_Ht%?v6DKA-w2mD z1lQ3B)Y51IN&0R#I_c(S-&+m8Kh#Py#8h;lMA*q|e4_lt=d-7*yWGugiq`EABXt5tEu;Q^dXof8uBf)xpQJt zTezI@gt6&zr=juKpDP0OQ&v{!>G2?+r38<@BO04!Hbb1Tqn zsgn>b+;zex-Af7+(?*o?@7R>QwQ&wdGy@{z75_@`f|TKqc0`_^$1asp(TK z%BNlYnPC#%?YlZV#1jdg-ek+W$%pc1sn@NO!_)tb+-{(37~dj{8}4; zlLf!waE^^0y@c64&DZK zvPk|WG$=aT^D}IF-g?50?vZhA$}qY;Xp_J7IG5R`Tw7x(3uk8L=SXHj_Gc795Y`zS zotX|_PfWp+s^ES>!6CRtdM@@?1uf5xX!fHlzZ%F4DMToUp$p1k*6Jx*2YTa%f*Jo5 zYq-q0Jq@qunP#(4RGKu)d~h$^I8bS~#eTx({;^;g(qFUA_U9qc02wS9-Cx4M;^WX##2zUl4$iBO8O=g1yssp?@RaJIr~kU`Ze@kWE|(5~r%N z$Mj1qq!>tI{HWG(ts0>73l8Tqq>bQ=fM8^6tt-F+)y4`+0&ZjU2g#&f0@t&p4NR6& zY<@@`^mMM}>lhd;0ZiB=E3%P?l~vNQ=Lp{k{J4@25tvkK$TcvJ0im)MG;HJp(BO=~ zQht>l6(Lzea2yD1w+k<(DaZmZ9y3GIi*ox!R#sO*k^d1O6yR{Crs=J=oDwWVad#oN z+Gc5SL!nikAxh;Xy0eKIBg1_g_~*uvo7XaZ~7|6$)e#Q<7N=^(MmB=Yo(sCRF( zbN?sA!GzKlbOBQ?!r+iXI}(qgn-cE<0vFmdGhNPKVvcxfWXMpJeYD#|x$G}yzAZzc5@XCmRKxdyaN@h8mKB4^63oxj(mogM zmywY{w{iFGs-~tw41)}C{>rzW@Fe%;j6goRyvHvqWxZyTT`dsm1DFxy@^j!Q!uJk| zPc&+hL!77>`>yOrG%JQ5Fdd(2^r7F##|$~}cEJF>T$`}OL3s00f{{d!GX_OKS&3l2oloAXsAY?87*lFYhQQU6W<7eRVW4>j9%gCcs37$xx21VHjt{db9 zFcwz1?}f|s4LKE(-6v0;?BL=OmITj4E3=JE!kZjWH$uc#Q8`O=!S9ynYx+OHO)SVi z_}LB0q04ZbPU@iO$H09obbRX_weLTA`V_a6XY1CjEG+-IizJ6|H^=>NyQ0b4c#8Rd zF&g;5o057BuM&AVIrJ^iKkKpgoa}8&#vhp%+QQCdgC*u8Z(?(JDdwyP3MFn*JM3sxw zWJ`$(G@AXJ^EyGuLv4wnvnbq}$uULCr28-`IZE(dPHCBZ86xW-xjPu@gu!DokX(%o#C zWejK5KxT6Of@dYhfy~qL>DjRR-6kKlt{vam?W8fT0K`bxdjr~wFOo-%9|f%u^Laek zBuA2@g%eJW=sy@EkswEP{0or#aTR-g|8`qR7~HeGc(DX!Cc=Z*zI~`WBcXKk4x{!H zA)n0rBs14TEkU0yV3c+jh=MPS!<0ZP+QPyTiVzYJu~!l>=?bcQ1iR_5kq&gd7RJu0 zcm!jh04P)cW(x2Y+Wt0DRrQCsM?~aoiq;kX5=9Jm#F*6ovG*k9Dve`vm|1C)TLh#> z_3Al!3nVwOCF+F4x-<$00Ud&!JxR!bUKKyQu`TsjC6ufpA0cW^8 zqOg0{F0zgC?GE|Li_ zn#neDx=u0dzsKA(Q(IvQj};CO^>#=I2pg)&41^7^?2r3L=5*&xJB8|A#XEZboGePW z@JUEo|7TeRLJ8XJ_|y60mKObmQ;lWG)X%w$g^46S^xAP(QC6lm=R@t+iw6bu-Fbv2 zZY@^AXgf@oj(dI;?f&}O(&zZ^5#*?S*Pcb*-2;MU&B1G|6f0>4{%zC~0ToPn^qV(x zfyRnSc7i!qJy*w>7yxDPAb~}x_O_%X*I*n81(bRo;P>v;p(8=W>m0+bL9T|Up3ZG( za=_6&ul^jqwsQ|OumP{9-nxN_*`o3E*O)JQKab2V2KV6 z4w8&L(wO`6lm5X$*TI@Flr&;{_9P}JTVXvSxO}dwLuK*m(}hRN(nR0o)BaNeH@hBR zjF2*3t@(DYJAV3(sqnZ7UyMZEO}#(D@+HYfY$IH6tBrMr_VC>k=JJ~n_-vWoC0VW= zS@#pN=5c^+;2HukQWszeTSh|RiEbI_IdWdJRv0PDyldY+attBxb8Jz!?%#L!YRynw zVygZBf!S{xT31^){9j0Wq3!hbr^6nvoh2sEVq-IOQezeuHUoI~r`bylPR|E^Bx1PjFh=0=^1XvmvWN)4c{WP)VdoDO8>q{*q2YA+Oq2b( z;7WFigz^*5fptzocLKAFVY*HV6I;5{U%WU$dwH;iRr&V6G@+p2)*08v6lQjdatIl$wYx8RPXEa2VeKD?;G{lTjhqGTRpYaARW5o z$WsZgYveKB-6YR0l6fH9(BYv0G{9mamwGY3GbxO&{2&Hz^lMS2x8C(KUZoq?S&h#K zcSHM7p?=d?ER}I=_1qE-ZnazDX|7K@!;K*3j$!1>q=BxaQVk-A(@CS_zPPGER_@M(Q z$KiU-Jt}4V@zNU9#N5>&_;{8oB{|+7fyND^xw0z{M!osON z_p;W)Qk?0Xa6;~ol=TDsQ*zs~?|AWAvY%A=?xn!baSwRVrAwDE%D@M5_AqD%DCs(7 zKgWTm%);$=Ly>sl)^N1b#br0D62U(BnweX%%%y)e>|p9+y(SL}YCzug2WR z@=cwrEG)Eq2v0T>UtgZ(A|(t?at|(y~~nwkql?9gtZW? zT(PW1^Pbi%Q5PyvHyjgB*=*N_+0A_K$Z1{^ZkQ;GPfA9+Mfg_DU5oAG z-I1^G&+6fLN08_#!GGLe%Ku(HlTuao(e*)YIZb@u)Z5C0%+sBC`nG6rbRFr^df9Bx z&MkHRF@;;e_B!$7-PESeZjbMGDZwZX?Esh+$zzS750=RMoV2e<-R!rF&hB&2hamol zNipC%;Sh4|$EA>Ev7e=72j_lIX1uJ(&wJJ{6Yt6)d}zV0|F`cLHms+LPikB!!P9Bo zMIs4>s*sf}@oS1yK2H1uO>A~h7Glc!%c6 ztGwYc$&aok9S@Jms&h;!dVTv3TR8ixBOM~Utj40R-CZe(G14ACY~H>})AOFg3~kB0 zS(qZL$u;vT-&qH#cgHjD)#$lVGr(o{xd{?95-Y}B%~>SkDE;xnDiaVGh>4J7b8_xS zk2SMYamv|mAKImLA~$hfgLWs;-RfJih_)pK>j*vkRR+ulM9GFUei1Xe&uS-GMZx(;NbYfa~_C5rNzG}ZXUXUkf6naBBJkKXCrvYJ}mLZENuf( zO=jPIMmrp+h%02B#k>2I5#eV?M)&I5$F~!_O#j|$(S^5?b=on7@&YT(OtPNh_Ezs}gfLet{_@}VM*6p2M^r^j zZ|2W-RSqlT$8fk)=Lx^6hct4>@et1rg{+frpHsBFp7?v5`;x=TR6diha@gyvrG>>W zzt(srqw)sg_H6qZKCI}Y^Sf<5(e~a9A0kYCh*0bOr6ZSn1G^wLkAF7tu(GLBw*JVf z#iMrNpV!={6ME}wj4fhTS1!%J+q0}Z`yuyZQ=-Zf!{^Sd;ct!P+z5yD+oG z?2%jBPG#M+BcZQEWS)fY%{^WAGsKsXaZbBdm!D|au5f@TKX=-HCncWw3)B5p598&C zl4w(d{zqo_*(xCD8<=gfYZKWuJnyjOtB5I2iQO6hN1z|$W*BiN;CHbx?7Rp@7MOqb zF`Lro?riRP)FAfxOW2#oN-26Wxyzpmsz+ts$`q~A?>--+zm+&dz3w1Uj(+e?EBxBu zWyNTvl;nn;+u7gR-@A?60l#%1cbVI_OjW?selx_tPtELTh;QuBm8?b@Tdge9F~G6o zZBy-H;+qyt-@uDEor?x)#udeeI0aW<5`DLJ#8MISCpc#HnxdbFbsD=tm`HquxVem)Oq!NG-hkjp|-mGhJDESmh$YWp|2YVw+}KX{$zO> zybc6X(w=~trj>T&34g#aJNw&_wNmqIqo>w-@TRR5Sfx!COEvrf`Gl)A6u5ZDf*2!z%TY53mpL~aOY<^SMj zH9g*4aw+Xdj-^i5l-u3GjMw$&ITt5A#L1ndOKlhK@H@Zm(d&P%uNu;msOy+%ro!ZdxVJ1W6QA*=QBI&lcpY)ELpZ`qu8BVoit zW@h>C^uXm{BtyW&t$r>-eH;1G;m#IrLLKh#_|v<`@lx{NpWeTWmmA2Jv3~J*N%CX} zrix)kVu9?v6S4kOJ2A?S{L}lDJD7+9lpcg%((gyb(2M(nhE^in>3h!cfO2Q|?i*gY zn=e=11`T&*HLd>5^8JF-cO$yjCgoCvdcwWmzmY98Jn?|(SsYQYN%ayzfF?Im;rbE$ z?56qbs`D}1XnhYS`1C!s2=5Mwd20Rk?f6{PALHs0$GUU16LER{>nXOD3YY6MHK}Fl z=N#l)n)JNA9gFo%#Y&V| z({6id&Dkosxc;(7GFw#xoA@U+x3fIsA3mOCesl+&#+s7<^M%=6eCz-B4Ws~lv`X)R zO~cN-Ur`M2fd+j3Z~!7|G;<?>=Kk!eb0>SPLr9NRdu-X* zuNr^r@a`X%f;ui|M8r;xztzwZwcj4jp2p^~N&Y*Kyvu z_}i#7<_brZbt-$#1@$%+wtvib%NS#F=QN3rsXFD@X1~)xuvtmO(qg1nW_>TSyp53c z|2dx!og;ue{0e?#gd!F>*ex+5Fjfe^&)JRr|%D>yf=Y`9C8qX)f?QS$u1{w%>Uo@+#9o zuEV{Be`43Qq^;O0UlIGlR{RJ^*90+m_a7e|M<0Q z_p+mFBpW^Vq<;q3d<-8{U)p(fj1I!+u=a$u%NB%0B}aK(_A$A-)M0T(Z70 z{i$&fQ>$8{{ski%?gxfNYuf+iJN+t&26k|1^9G`P0gZ*0t;>wr<1(MOa{NnhYDA0! zyDAqO8FcDyau(esYO3}m5N1EHj%~txg4!*0CUi;@etg}j5fZ4pF@mZw(bGLGis7JL zCvhZHCGl0e7IA%?{%)B-KgxmF|}x6{%~f2M0TI=7=zU1EG;n=Q=bjDnq2O_-z+ySVr%0T4OQLS zw?}k!bqx(2lq6W`0s$X=s;sQ6O`Z7q!%X=46(>lY@32`j(=@)Tcs0Rf(^>sF@1efP zcvnZ|=g!x8Zj8ju_gMsS2W(Rak6CuFBg83W+*IGP8I1aGWUxH8VZS^OGzK zF!D!RB!A0GGD;IR>k~Hi@c}vo{j?2r_0-f9iOTl%p~eZ<_C)qsF9SNAanN|+?|+{i zRmo0?JA#e|*Fj4avWt>#fCgA9iagRR5Ut%+On3J2_I4TjNDfoO=*U(8uqpJ*^W%o@ zA~#?EI|v6%scW)9JHmwqvdbobg`ha15_AnAzc7LU$M8hkBN>J77;9Sy>)=i85MUQ4;eAjP!N7_J z@QJs2jjf>TL}Fe7ECz$PNZoHPDj(h!pz{u(#xswBkd~Gf5Fdwo6!b6`-ohe5OOTw9 z2?8eiag&|-Up{>J2^ttM-OTCZ5biPG$gt7Cm_>l!_~Kk#TumjgSd$oNl8P4 zgM~#!9UUDUMIy<&|37QHHnpCyMvr>X?8tSRgcmO^V32XqZ5gW~bP&)$j#C!^3xiZc za&i`<0E$e!K$0F|EPx)c=<7)k6xwOA{Etii@A5_6(BYi=eD&>3wCd1PtNWk@KmeV+rRu zN{7!_U7C}<@*_AmcMhow>Am(EUAkZFCLbW(OJ=sTG08jKIIE@M`!0_nzQRK(VpFgf0-}Qp6e9{UQ~<@hyw;_ z?~=@Z^9GC=!2l0X*CfB6M+=MWY=a}l!oq?kOMh;giKZj?*x#}*-R~)>d$M1FE&!Og z7v?Ww*^r72v~z0mK(B)43xJ~FM#>Z6`hTkejR+r-v3Bv|9ywK2)t+K^M}0{!-1gS( zlL2U*eik>@@oQQ;z=Qc;?FsC(KLOag=+LI+E1WKnL_fSFnP2KU07T}lI|xh zE$wO!U9FL*BLMlu%ndooTCehZyhzulCQUL|N@hTp#2vIeAQe%w3xEs;*H`{C`al?+ zt?xSkG!a}RQtuij3kAaSJr7*hQK?6|&geB79 z!@$61I4|y=0Lv{*4h0JAz;#mYIB&pjD94#8U{>f&>ZBMYYCsLECC+Sl=@P~QYfti9 z?~6Z*~uxnWjoa^`oD%JKYdOp>nd>+ zkzmL@8L$3hXvk1cuc7^%8hHa>dk`o)~h;#_)Y}oX5942^zdESFXHrc&c88 z!i6-c@Z#9A1vX#j<=va(83VkB`4e+;S`hp|_&lJ?^y<+-nfB4wZc}fZ=`!!;#fRhK zFMC5ZlPf4 zB75A$WB*TgUm8wT{C2%1LnNmtQ;`NC2^q=|4#`+Dl_`{2s7#rn98#glNtDcUs8AtM zN=YPRLX?y#l?h;|G+yMbIj3|nrnp$@6Dacd29J>%=(8xNR+QGD-L8b;%OcC7tbPyKa zqC4D_tg>DwCi?7I=#;C&)Fma|(deQ^lb(yupFeN*T+G<=AN31U`RRBrY0U};8*n|8 zmEU!B?bx=>^c@u8iY`s7YZbXE2)}ffVYLHZ!|5lJLftDqiy0I@UkF+^5C&~2PL|fk zPoH=N1tn>>@892A&;*ts3^EkZSVtP5@7DbMxeInp(065&zVHdNq90<+5-T`!r0v0% zzSm|+r*7{XIC#&qPfoXh;Ag9Q?y8Hv7P(~4SOi10N6NRbp=4%mK+c9uy7Odf_!&kX zFbicshLeZK=(lg)Ll#6BV-pREhCNyt3e?okFC0JLTL@m~?O2md$Si`DSuW|@tkB?N zQ%z4>VkMC)O$JogRQ_V`Z3Pv-ZP$jKsJ>re1iP!@a2aMnF%Mx z>jvs>vl5f!=_E3qzre4Ik2bC8XC+EWl27Yi8P6m_J)e_vPE}>Z@|1xQ5@^ z!|#Z4J$Yec*tEp<*Y4wcKrMSI!O2j4ofE_dh~2OV3xl6 z&P2S|8Udvhg3vx*vqb;xeeb>#0cZAP3I5t>EOFc{zol9@;gg4#iR5v|XO>}W4BzWI zdzsGFGRbVml^xI&r0sL>eLG%LDh%1Nlx(H3cjTAKS*hTPsvFv_uN>ogt06+Lv&;-A z>3P}f*I)d(>2bTd$;fnE){f38Fa7S0gL7{yo|Wtg?X*}pN-T{#wt`rXH(h>3&Vh$b zZJXX@R->p_cmCX0WZF9FmHQY}mc_DWi|m);EC+3|@qDLntXVR?{^@u7y)CKr7cB$1 zmn(NhT0JOL@;Ty(n?z<&%vD1EM5ZRcn%kZ?YWqz}Uz$tG2DJ+`mWkUx#RX_o-EPAE zwJYM>iW!f>T}-IV)M$htfa;i=L6J+UtkHW26YTq)xAwKN7yroR(kI%Md3&wSKly!U zOS@g#`$x4$2K%->7jN0?A#Ld0=Wy>;i+RwIrX6}U2T+{L+h=NCJ8hd_TH4Y-G;I{u zqnofQokHbJkX$GmXz8!1Tjl(BLP)|%Z@OMdp*6K9|JeH1yE(n*GNmOd?&l1R?TFj9r^v82% zjR+|J^a3-yIVE`ZjD0SVPp`5OGkvY{?p4=pf9cIFHkQkqULilg}mZr~_ zwT*$hzp8{fcaGa?-CwQ|@f7vEAb5X<%|fBpi-X?Icn@Zymjg=SoN4d@>lfE6FR~h) zPAt4In#wG>E3W*?Y|NckvY&)DryOm_X7(6}mfL0!xZb7lOW84AA_{&A%{3QU9qt0! z=#*SCd3&3#fxWo%y~fh>juTe;7~`_J?~=u%^&W0th>;~x#)RMsGM;E~9pYt4eawh{ zZBnczgdi*9;n>4cEU8TY9%hX)B}P;j4{veMW=TEB2%BxftmeeXR>s4Hhiq6j7ef5jZuH9b#Bgh5tRgG0Kt{;r#dP!9L^*=vdCVB+&YNbL;Wl@GK@IM`ur_tI1?G` zi4o=~J7PqTd|m2I`^BuOd&sa(jBv9$5F^VN4PJi53h^zAo3aeL$ikLA!cL7 z?i?OlU1PclGX}tm&eRZVswCsP>x91%3fE^mgP)D{C?R=<4E*-;{IyKE ziy7xk)`6cbHT~a{qb{uu=U`j{ei2q5LYT23+sE_2W;(&x(!%c?(q&6kWt`ykb-Bwl z5*e?ni#@f5nEUq@7w)VfFr5QeAUpiS8p4zDT%O15+%@WqZ(_(6p-L<;QUn=^n4iR7 z26STY&OgFLAql61{bl~I|CZP_an_LVJjStKld1~|*ZcRYTvTZIFk@9++pcpm{4C?w z@W&$d=NKOg6WyA{j8nYUft~#tMBq4PVUcZ2J!Rvh$NlLxPYz z&9u&*(YqsZ*VaXc?_-?D)Q|jPi|R;fB!-(gWU})w`S;}WkJpjW7q81*RCit@5`Y8J zx^tadrKHUA%*r~2jTk4+j7v+WUlj7e_a!cSg@lAuR4M_6giOBKO%lf1z+lk;cRL~? z0yQPT7nqHClrb_i!Yr{oO^9go09z8(O)l^YSgehYjgitT)QUNonNl_njJ@Xopl}Ju zJ?-lYLpL6(47=O*ny#)xXL&Xq@$~e_`0qDkJ4F%Si<;IXPZb}D0+L1{C2p8r4_^Bh zST;L3Wmzvk#f6&a7Z_~N6iLy*tQP*q<-`nV;{nfqCo+j&WzpacFi12s!sA&t0$P*a zvIYMZc@1Km1Sw8}+{%O;@d2l`XV08~h$+06VVt%63)^U}_COXYP|gPQh2FO;aUL`~ z9~;|?vvcTBdPIa4ys+80g?liJQF65xTnJDSC2a)n9#tx8=GMXx(9P-k?Kyiz{LUsO zT7stupM2X$t%QG zdhjw2&`=bY5d0~tmx%WC_5z6r2K)j#Gfo2voHd|(<64=kOu`pi@yOeYSFZ5z@_zdG zG5!7?E2|{RlQ(bnl{CXSDbLK=(b1LVSw0qAcu`Bwb!Yzzu2*w;yCj{?_LwY$b<%r& z7q;{W?T{5IFjyVD<;wN$`a-q*d$nU%yv60_XRR#`32g{*F{{2r7&|Sd$}a`TK=K)Y z4cVS7!}l_9JBo@07yWX*BQ+Y@M^7+;;N%5@%=ttxU(H!SY1 zg3;^*BnJ*$m@#2!Y<#i9AX7ZI%*FxODdkC1Q_*R4w;i|zQVV{~Uy7NF@U*Tz(&rRs zmTuyhvzwbYi$$7wx}h+C%IU_sxg$EhVLl0Q&+4o5I7L=TxxA;st zi9_2yn+bdUR{cQMi^eL-M%wLfa=Y~-&b19tqhp3nw%5~41kF}C@ot)%y%3T8SCsbR zEzf7Up^J$|SKJpUguQNz*uFlHI!SBHG}7Y;(m)LFU>7}zTfygNSV-3oh#2&IYL9f^ zGb&M)mp9wTx_NU!Ow7{Y;6Grk+5OzuvNS!Yd%clPzTZ9%L&I0=FQ}$lm)|8%?XF8f z>kjv=rLWr`loTu~`Q??0z?%rthRN9R#_QDoVKh%cVp85%yrkm&Sqer0tZojquQoZA6Ckpie zekv-w`X1Rrer0#pyKkqcHrBMC5QU!~?4jpiuY$;}zY(`?6@XC03hS;Es|01PM{p-W zu!D`L3Y+DF`GKbIJ#TkB%X=U5joi7}re5;LHYfyyzT@uT)|s<|1)f$^ zoClT>uwWqC5GyAsv0eQJOVS`fm7wsi!JPa4{_nUc8*i$qY~Ox@3`UWlVrOM$_EZME ze)Y;Qe*xFS2-F+^4j{3ErgO~4r{J;qu-%Cdky!WG<}}zvx83&}uHJmO&wgr4pw-xE zmv;g4cimOOzW?Fe*wy*6*z|-;<*Qe95~UBfZpM)K(pG^tb5mX>PRZNUg)VKP`OcJ& z^6VB2oGjA!VM={zrcrzBd%x!J%rsnVE3D5f6<9|bf`asYr?ge6ZjdK@Wu9F)0L2gp z;?`DH`IUyy_5%oQU#Y69N~53?ZaV=+bbeB)JBeDU>_+rXjZ+Rqi1_F#csHZWo&Fr87hJwvvBC3TYWb+ zAJ?M}FY25at$6{C{b4M8l148Z!Sd2@7ff;xzW;?#uHIE`$=H#K5K@50V&{?fwKm=j zQ#Dd35FQ>5uL+@wE#VYHN#?`rwtO}22+73$*b;$mNxSWJ98h==9KHt}JUll0c0}$s zP2sAC z9{?lM7iWp|91vFBE+sVvkt`tZYV=MrbYfw-ZUKe49& z+4_2#lwZHzjhB^^j^{-42B4f#Ud+b(pn66(ff|h$ba!_rm>Xr8tl56l9<*z$^JUAH z0htq4aF5T(IK1W_FJ9?NkO}~#Z0QeD$g@Ql@-p7>fB%0xnWUt$^78SaV=;_e;&{2L zxVY=57neSN9-JD7B6(q^=g%9!D!`*WHaC!Loxn#IeFE67q8S3OLhw6GA8 z8(2&qadXRi{}SJ@b8bO>!-mYb?ihDTadFb$ghs)M$D7iF=D@zTun1MIyp)Iz1ST5& z_Cs2b+T8`D)lzATcC3M}?(N&Re~njuds%$X<+U&n??gk~YGCD{TY(tSTT0OhH_$o7 z`VGN=bVrGc+oP{v5wl@s2>a=NMpti%D4Lug%)#7b^j>>z5gLQ5w;%1lvUg|w z%a@Q#L)@Hcl1H{Yf#biQ_4OY>CImg(ceKPpK=0))l=7P<^DX~rq^yrRtj{K0y?psD zBx-3|XLgppc6N4NCbIJ(lhdx->)95=ST_`R!bokl3>!Y@iZ593K-#rHeG0_Po@gxt`&% zvdlP@O3Fvl?1u64wY{KIYcmjXHda;+QM7*~-|CuaV;y1q&MtS0>Jm=TBzd=Wp+ks| z!LEZixM%hCd9a)sxx6VQ#3apFd-v}BIb1Sp7E@EBkQAW*r#tgC{xIS?nm%_+OMS5b z?%oxYvDavyAMihV^Z@KhF!5lZSIsg4BJICQB;R_w<6?e7FLSaS6m zceJ;rCnnIA-?zhWysugW8~29~4q%CUdiFv)j9%nbzdLrn-@_XK**GQyd zon^pRMfSsCsjPEB*z@pV{N4hXJ~ua)6lkv&bocA&f|nu`{bkaEJ+MZmq$4$~nEKBt zN=KA{>J~p}pK%wi=Hp91K!qTbjg1XS85jWic3i2-Xr&?Hki~x!1?^@oeAEL64(N)^ zYAu{uPKBS??Cfk(Vq%^_X53zv-Ma)P|8B6S;S_D4-7YKJlG6mkwES)XC%G=%1P7C~ z48CyCD2M?5mVV?xJ3D6w)+g#`aj>%wK?C5oEEYUwGj@1u_1u+&g!@fxt=5bWdYR8q zTIB~$B8FnCL;^tC_IO94!OS6wh8yW{0fDXl7Xiq}3j%F;Txyz%O!9Dz$?Q|~DR$*a zi`0_N70mwA5Eotzs~>_LZsuX58{46Ip(9?v-D5eG41LPapFz_cNdYBaB4^JQziHgC zXV2Kmjf{^AuUeIDdHKc-n|XVp8FU4A6Bu)&bZQV;FKvC#a8_mciWPT}V?psN4V@~2 zNsC<^C;|I_520iE7lK@D%UiD0gA1-ze-FJfy)S@dX?YMSlQ$7WLxu78rN>zP{rm$nrhiz zzIyfZ$jHdoueQkpNe_^r9I&*ci?DkXm+ap_QC3kQE9;UCq@lzQ*e99&ejp=p3!xyK zEL9$!_<`CTULaU=TXLLXf^$aXq&UN{1lBjn$;puvgxKNEVmn=3U48wRFiBE^x}z}x zo;0Yq+AAvETeD+*MatjNmhjLhP(Hthq+=%rTtZvnad3;+kMG|>mcV$vBqafa0R0F9 zGaK*?aEm}21jWcKdYlP%fv_~f)ucwVaISjzccQ_>;lP1w=uDfLwIO}K=iLWGtD@hR z@$})|cJ$8j9!dM6+=h98Nl;LbqvI#?sOOZ2H-=Uf;vAATU05qOcZOQ&E99hk}pwspzjZ?I(;Nn)u*Wh`NJ;xgKj$K}IZ*br|qS|zCcR5Seu`y~iP80GD zCP$sA4sB*S+87ZVADg?&oaGx84M%3`8FgB zIASV$VZD7M1#1jf{vfOp$d0bQ{;S4?nXm~+s;!#d6x)=`fun?eK6czYf6d_71(Fj+ zT>Zer764rbZBGEA5!E&}HvU~4xr*7}|KGqEtQzR!{D+!9q#0$Ebn@cX)W@l;M+%39 z#y5OuS3T-|@Q$)LE%#~0#l^Rv-S6yW2-$cBVC93(6hI~{9V48B#JALji&k^GlTbJW3zhIDrax+lq*+Ee?(9dCe`!b zcc05te+3XFY{535AV~iQiso}7<8Vg9;NzVk+lN!ys##GrBP@S|HXaFrNgiefdcrzv z(k#maZiKC!o%fLrwrpLJpB<+X3?wKr@|o#gHF{=7YO2OAm*UOXycCA3&KQ@JfMQiY zI05sDf^Sm2__{Dwfke2#Ut2e`c>l|aGq>viCsxf+-2J9eK{N~=pZaTp?R#o+l0+Es zylar#5F=(bHa8f?18*wLE1sC~Hw^`L87>lko^e*Ah`k z|1l|55mt|Rj||1ED}3D`j6v1}B(NE*8z|wWARSv*l9=J%CX)O9wQZ=Sch=5;VJXt6 zt!iE`bixJU2yC0mkl%MHRIw|C2dk7pyI8xn|Lmrl?3|n)_!}ruaI49(ThSIJ_-zcT ze?&Rlr9WHlVCIFUOEH^!Mu~d7v&+oP%mPIB*kRf+6BM*OB(4zdq{7JyEEt6o+OBy& zn&yqIlB)nHVy6dTCKPPF=dnVYdV}&68qg?}7GN1MBQ3kqQE^~#3_@*8f9C>64pbJX zTaZGay2Y58Lbyy$t>A^P29|$|&24FUc?je)0H^`;eCW$&1;5<+o$noE33tZ0PmkU{!>8(Z7WC$-HiVgvj^ zwH&^YDLvd`r(F5CUB{&pUmhkIie>+T$ZJxEOPWCtx@5k|Q@HC73} z=L5m`bD9BB?k}o{kzSw%*$TCpW+_`^Mq?&VA*C5!b0zP~%G|auMK_;4l0s1mE5mr_ zv(?oL3osor|4Ye@dp9)JBH2D@mRcfYf6vU^~`E?9haQv97ES4;op1*4Vv9;fy zviD6pPk;mx!M6XaxXdx&3T@TRq0Fj6qO>WyO&z(C*qa>Y=dd#jX;)+@x71y}Muohp)cwJlEtp5idFi0_w4=i{<71kAqbE@sx)wLZfl{sUDmVa6p3c9KaKN{0EA5($!)XVrC@Xvmd|Q0!f8QcLHntJz$0pia z&~5-IZ0WT+iac-$kJxJUlQ!%>Kz>V5@KX>hLVi$=O%W;!($*2Nhnfb%#%{dI=e61< z+E80wEA9%eUY$0X|G8>{sw=|<;cY1;N-He%v|JglKZx|dJ+v8E>)bCy*}{hGbXL8T ze(W?2`9~){=>-P|=OvK|Qe@=h1I*mG@70@+=VasT@g(;yj*N=p5RFI*-Uh8tJ}~AWmWr!f zdtaX)Q*JO~25gy-MxmsS^5PuP#f^ow1^N&$z{(tqao}JqLvl5`9{nF^#gT+s{`Zi| z|0@LZe|tUynjthIGqba^b8@V$t>LHy>T6jMYR{cJ53;|3GcN3Mw3OHg`%;v(geyN_ zDIR|QU&z;m@|h5hPhfsG>5&1frgQoZwghIz54={~{~RC)(>ehv`evUH-B3s@r)nd< zo;f2_u|xbd`Uk?QC%%K3=Re%?tl5((JScV>u%?=~A>gzvAVWc=yOqbulX|juIWerQ{ICl^;h(|A6TyRIw5dZNNh{GXITdmb$mQqmKbrv2Ba-IMEA_$ycVW!JA$k+$FjKTFv`EPLddPNQE7SPu6>8NVfX>x0)cyGHh4Dh{R;YMZQQ=pi z@%raZ_!@ri?oGzhVQ!NCDT%?=Zv>ao$7 zpWs#){PG2v)p0~4B(P}0xng4m#NG{hY@s_!A2sa6*nVfRry$6a22{9-;J5}JHA(RW z;%94Xi)s@SKz&4$_;X|V99wsQ z+y>q{h5{tU$A1FhePDnGd^!KIw2PY6JLt1}00+n;jw-3J;oP}u9vjpVytN8w>{N$DrT1yb%e zy+0xQg)2zvA4O2L>+0$%Dk}}zQFQUp^~+#s=VjBNt~RKxnIA3yO~4NZ|V)7=tKpNtIkac zZ@aq4u{rC!6$pL-1T$i(#Lk^3pGGeS6coYAHG%>WmRkVH(t*$(COxQvkV?alpm7!+ z0e~Wa1(JacsSVnpz%nav)4?Mz)0eG7z^qOxQsU&i^i4_w?x` z@P*XWns@JlU2-zy_O|nqXPb!Eps^ z4K~KKvNAv54((s~VNSghx0a|jf<3%&z_DDL+zJ<(v**qM{_6k|=i8kfuz#@i&t>qA z$;O6Be20v&){$b8>FlOWU+{JZQGjDB+&o>x9DaucFNtg7!-mOZ&KruJRMPcT z(l+ABwSiyDI@=;!^0tW5E?jsGcvNAOTR={m9X$iJ*q%LqUciYVMVSTS*iYMy z1l3PIY&+3d5+_L?d3u(o#S2$CUHVp=z!SvBC8A(yBiy7*qd*x6IDy8Em3Ia0ex)3`e>1H~~6Svw5DDpw+FxH=m9vJKhl`f4* zS$}Fl2;dYYaSQ3Z6Ki{r<(O?#R<;TlMY@`GD_447bu3xrS~y8uULp#6UfDt;s6DPI zu2Bmz^DqUZiNzO5!Ol|jqUfbblL6QQz$%g7`-SODu^~rsYdl_c>NeS5B5j@Avh)E! zkG%!QP>goq&Y@i_LQ9FdQ+_xFtl4qmNzP3-BxvFwkl1mEgPz`+v{sw_!@$6LH5f6r zFsrMpyX~4F+Y<%AVsTvi*k#d-^Z8lrm2}bBryQFL03rFAE(BUU3o%Yl?MIBX+lZjI z_c!1l`W~hT91twj;%e-*J&vlTw6qlce~)%(3P^A%wwO1M3v=$Ud3E+mCO@hS{c}&* zLI2b7-yX$P79BhLLVg+*u8`>SAMG#-nCAyo8AieEqKvp|s}?_Q0Gt-5ptYsNH>?hg z*5SumeN_M{;Yh2+E{pXd@yBfhQW+3OC?9d9=$ z+|eRYd8XpzTm>Z^TV2JK_!ol{B!%WiXLe?$4enO#005sYa*`yY&!6X^o(Kv;J!u}` zVPbN5vLBt4k+)Jb6q({KCXHw*xzTmi-H`mhpEU_YIbvaP)z`&&M`cj%nMc~N5UUDS z+PQNcD+|q{{C=-2k08bXv!K4s!(8P-Q|=qPISDQywAJi&i;9XWHfynq0w4+r2>~8? z?B{2r#))%#D_3Bu0!+Da{(xpJ6;d?(tCnnNZ=dSC_$$~8fTjB29)h66C8VgkEkhn= zlB%j9Fo*|Mwe<_7W$Ij#W+s^i+ z{N3lrEhH%DVcB?xPU*E>SMtU#f9E4xe*c?|i2Dcb9q9sC2%sIK-)y>i^}XXyywx)( zRN^3Fgc)C=;!8(c=Fc4{49vSrii^FGfbRj(273@-w3U2(1`XW$S1MhTWE`Hr#SRUw z+X%;~A<$m#gRTGu%IK@0I(dTI8z*8?7`>3pzapBg2-#vd0J7%{d*^)^{AGoML4m}? z%o-!4v`62@d~KBhuIQGqWqS)b?aIW~w5L~^OYRfr4I14{*Ke#d`>U~1wSsa8{lu0@ zbt?Pr-Otg!MQRA(07;x)QseY@ujfSfHYI#(VP$;ubU8n z&%OIn;A?%LW@__g?A&oj6 z5i#|CP@MLCW~Le3arsYFk~bzXD3XQ;7pw7y~t2kH@AOJn`ba~n6f>G7llh4 zHW47gPbCAbz5ksI_`mOuIAYWWd!pgh8jB+wV9|rZke7PA{W`LKV#bcvvW3(OVkm;YKRihbCT>DdnR%T+ z0w7)Jp6XYXYa=ZJt9GQw&|ZZWc9J9spR9PF%6CZB#b~;QhVf!s+tHz(0Zs`cS87GA z4D6lQKa7tT1xNH?!^rpPdj~sfX&PyTgx$dJKCUcoi+xEfrOKHZq(K?N&zpDgmoD9b zzo4i#`alX7OjZr|dSJ%xcv&UDx8nXimzGjP&%e>g`NryS!({dO_4d|n-zE$mTKSZletL%^h4On5FpRtiMI zwsCH^w)VrR4r`Nlt7Q)XNhq|4#Kwj=UknFr6!Bc#+@!`&Pp=*sDeg;5ECFzi!rZcH z9)}>ZY8BeeD?l6+6nuwR20GypkeaN%IRK1nSza_jqW&dKukuok!Gi|-IlQ*V&}+dSf}5PKKS&NRxBajKK@QpT9TSx{ zCuisB_WgE<(_^?vaN{iF;_~c!G)MYwp*6Vi4r-lB<$&O;-XP47Ap?SL!_ z>j?Si3@~1x<(0rd!OlVYrwpS!(se!PEZA@eCksDQ7O*Jm8yZH@3tL5<9PbUr4UIKN zPN%^cStBSoGBAK>l#I{){OJ>VS)R~!-daKRmrH5#J0Dl)mu^xc*whGr~6f`$Kny4ox#Oh>%tFL>WUOBG{m(2s97 zSdNZg{^$ajj^=&tLtnn+Nbi@VFZ_NT=Ib)Kgq>Y{w3C^Lxo()XO-r62{Q8kR|HX6R zP{jxQACAP>wb12sa&ZX`44nGb7X~~b$>$8aXc0OHGvl^s2M@2?YlLM7(%VWZ>KD_1 zu31b>#^9+3cr9X>gvZ%v1U&>eNYb{6iarJ}5~VOARWKlUg;7xEgpseXzbUd+DRhNL z8=8^#z)S%o1Mmxtc_1b#Dk`JGgD6oR93Rw2V;Hv#PF(w$2iUiOP>c)>@e2!kxwzof z8?t(^0hk}n#uC4bdtnWF4m);qwYQUFjF5C_DbX4y*tKaK_k_hM)|@1~gm! zu}DxlXgIDO`f{u*hQe|i=tGHX-1<6 z-62@71Hy5XOAI;&{Xyzk$m3-8kWMiUhY$bkTbSSP5yTIHmIJvPI-rkE#^34b>Ah-G zX0hKMBG_Q*0Hy&{(Qfk&B(C*3YjI2j!Sifm2Km2z`hRe{|6l)~7a3fLI6^%w2a^|q O(A%{~yNGIk`o92kq7p~| diff --git a/dev/ECC_evaluating/index.html b/dev/ECC_evaluating/index.html index 0c2f531be..57b08543b 100644 --- a/dev/ECC_evaluating/index.html +++ b/dev/ECC_evaluating/index.html @@ -38,7 +38,7 @@ end end -make_decoder_figure(mem_errors, results, "Shor's code with a lookup table decoder")Example block output

Testing out the toric code with a decoder provided by the python package pymatching (provided in julia by the meta package PyQDecoders.jl).

import PyQDecoders
+make_decoder_figure(mem_errors, results, "Shor's code with a lookup table decoder")
Example block output

Testing out the toric code with a decoder provided by the python package pymatching (provided in julia by the meta package PyQDecoders.jl).

import PyQDecoders
 
 mem_errors = 0.001:0.005:0.1
 codes = [Toric(4,4), Toric(6,6)]
@@ -53,4 +53,4 @@
     end
 end
 
-make_decoder_figure(mem_errors, results, "Toric code with a MWPM decoder")
Example block output +make_decoder_figure(mem_errors, results, "Toric code with a MWPM decoder")Example block output diff --git a/dev/allops/index.html b/dev/allops/index.html index e893f92ce..6115474f4 100644 --- a/dev/allops/index.html +++ b/dev/allops/index.html @@ -10,4 +10,4 @@ noise = UnbiasedUncorrelatedNoise(ε) noisy_gate = NoisyGate(SparseGate(tCNOT, [2,4]), noise)Example block output

In circuit diagrams the noise is not depicted, but after each application of the gate defined in noisy_gate, a noise operator will also be applied. The example above is of Pauli Depolarization implemented by UnbiasedUncorrelatedNoise.

One can also apply only the noise operator by using NoiseOp which acts only on specified qubits. Or alternatively, one can use NoiseOpAll in order to apply noise to all qubits.

[NoiseOp(noise, [4,5]), NoiseOpAll(noise)]
Example block output

The machinery behind noise processes and different types of noise is detailed in the section on noise

Coincidence Measurements

Global parity measurements involving single-qubit projections and classical communication are implemented with BellMeasurement. One needs to specify the axes of measurement and the qubits being measured. If the parity is trivial, the circuit continues, if the parity is non-trivial, the circuit ends and reports a detected failure. This operator is frequently used in the simulation of entanglement purification.

BellMeasurement([sMX(1), sMY(3), sMZ(4)])
Example block output

There is also NoisyBellMeasurement that takes the bit-flip probability of a single-qubit measurement as a third argument.

Stabilizer Measurements

A measurement over one or more qubits can also be performed, e.g., a direct stabilizer measurement on multiple qubits without the use of ancillary qubits. When applied to multiple qubits, this differs from BellMeasurement as it performs a single projection, unlike BellMeasurement which performs a separate projection for every single qubit involved. This measurement is implemented in PauliMeasurement which requires a Pauli operator on which to project and the index of the classical bit in which to store the result. Alternatively, there are sMX, sMZ, sMY if you are measuring a single qubit.

[PauliMeasurement(P"XYZ", 1), sMZ(2, 2)]
Example block output

Reset Operations

The Reset operations lets you trace out the specified qubits and set their state to a specific tableau.

new_state = random_stabilizer(3)
 qubit_indices = [1,2,3]
-Reset(new_state, qubit_indices)
Example block output

It can be done anywhere in a circuit, not just at the beginning.

+Reset(new_state, qubit_indices)Example block output

It can be done anywhere in a circuit, not just at the beginning.

diff --git a/dev/canonicalization/142c2f55.png b/dev/canonicalization/142c2f55.png deleted file mode 100644 index 053f18169567a9cd151cbe57a591872c6108f742..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 9380 zcmeHNXH=8vwvJ*!BnHQV0VT{h4ueraBSkPo5zSa2iX*6W3qg<~ASHoBDd8vzN9nx{ zMWjfLfDnaIB$R+OsR1#R&>&#?++{Id9t&hd`?RW2IKhLvw zzDE}guuv&EDF_4tJ^PcMAq2AS6$B#TC%G0}(SccHgI^nNoX6@xgrc9s^7If0L=kdU z@8r)OvEw}!Pt0!j@cN0JJ&(eCPG&g1OO$yUb;2q6>Nigt8+RRilxAu2X-apEvhDQ) zQkNyS?mPS?A!5yT!;HrM1ZYw+MNSQBsn30TLhXKK&99aZc3n6y{FA+xlh!zC%MW*+ zR0RKhs5h>tl-7P)c+&FSyy@d zb+Tp_RKr;QD9P7dD=sN1$r}G)Zr1OQ&h`Ir4p9jnXxtkAIz!)4yqi|;?5}1Vf4!u# zZ`f%7S@>(qM-PCV8tb|0ONIS}jD)0R(?Tl*q4M^o-KWK#^$DK5f!1qB$9k#Ddk4Z$ z(m`8{b1q`4@_S5>#-H=%pVM~?C-DO_%>}ow6*+QqQZm zz47i}T2C}$w!E}TwD8mw6Xj(#b0BXI0HoxYT2+7aU`fG(%P*ExMk8_Arb(O|NVfhJ zM{B{Q7RE(J$#6QHe@Z^5=2Ou5WOKo#u?!+HePFYhhj+ZVs9Ho~db?JFx4rdd8qUrx znQ5W#2p{jgj``5Q-oYPmEj%eOIFbTVPmZmR-+fwOUEJ?FAL%0_wwPBHO$!Jf_MyZm zNe7MY8I$%+sjA=7xQ&a=E0Dc;z$`z{O*%a#)R5lt@im-pO(6vNked(@>o{oKpGlIx zZ`}LQ3XtzsaIUI$q&MVjkQ=%qAg(q2=E(D>MX0gTBIot% za8IDh3sb9(iR>a&VPAe0O$`Wa$va}|^4;REriHhj=v-VlNp)KGL7&p#inLm+$C#pA zc>2URM-|9x$XVMK#A#fi6_Snre5pKYm3umCSYgP*lk$gZmtX&|=<5wMi@HH|v)Itn zdWQh%gNnqI;J17jfS)6o{mRYRlO=UN;%*k8%`fNo8)wkex=m5+$v}SGSTMX3btYAP z_h}YZPs{`8A2*F zLQg&?0QgR$oL4UG+29=4>|ZMolA*F!%0J++>CJFCIa{|4HW;xP3@F$Iq~RYFFA69j zTPC_p3M#<_z!Ev5Fl1!X6*e_Fej6Rr<-9aU-_d4pDAzOz%3GhEf0x%5O;w4dSu)r$ z1T|?6QfvnhIi$#aAYT38MhQT%+(1sXQQ^b5*rt%$d_zIWRqc{D&i)6h9dk{s^jV8{ zqWHDW*q-{*knko-%gT>nux3aL=ygWp|C3g<*Ar^Up?( ziHwYlk9QzEzP{4Kpd1=H5&_5dpxC@Mgo*w<+5N^>U05%|kQ^`+v!vq;@HRFX&Krh_ zVz#GX$k70+FKb}39la>wB7fwhi|15lHzC?@mB*Wg*kx+Wu7+>2u5Gr&IYU8O$1Wn<}u_ zdTd*zQ>aJw(#wi71s3DeKKa!JQZ&_FtD@1reMp=h6;fCH;@LEP2e7BaBQ;GrrvwIb z)g>9mG#Hodo)5(rfYOAVzV56T=60as7iWLEcONis)oQ|ajY8%LYL`7> z1Ng#0uFvGmpSX!7il2K5d1_&h4ANZ~leo;z(`7+kW=RV(*HFIsEhanNfvAi_=L!+xjwyivxP%!B| zNqlLPZA;i`vz}@8K5P2_u&rx!`mZ`VOS zZK`s!u&S1{G=M;mu2H+pS%JAM7BCp7rI=!14?_%}^!ggym zj<^O5A8$-FHut=3V>8SkFVA+DxR7UKn9?wq5SRM~#E&2^P0wJ2_G^XOI#z3f5+6Q% zn3tD_VjQ0ZPbr`4w2L@s;`ZsRlAzWur);7$!kq9T)Va%^`r_m_rrz9EgmAuEShYEx zzU+l>Z5Pf&(01?IHP4GcPyf0N zrRFhFGGtC#U=^VEdDm~#4bsF(_9q1>L@z877iL%}atdPZYY2|SNkJS;jU_KHU<4yL zc{uDkYhfq>Gn!TKgObuveGJvEJqJdb^3}(!!**kJW}YPo#_*}38x=hIn8eAq4<$sv zQu^VC!TK0p7jt=z(~NVp)Z<4817!OCRyLMj8?Ituey*d!dod+ghcM6JO)|-?SB%39 z4K(}xKr%iI`nGwD7quH@T|Ip4*tK&daT zu7BY|sNtD2XId1|N|I}=tIB!3#4nGO!VT5$ex9NubL*D+x$PFhFM%rHl4I}EB=elq z!?s)t8lDkvNN2ac#PCWOYM}hj-OESKES6^?&MOmn6M`?Yw0VY*jU)4$jVort4C!~$ z)Fz5e)V zzh1D)FSx~`hrKk;J(PNU=HuS3V*9cgILGac-;x{NH)yY6aq$ zs35xntEqQ2W-H=2$v|>UvQgr zA9NJlX-*5l>6C;zPrsMN@VZ?jBqU%u^L-}0GvR4NJ`{ZegPf~*Uy9nzk*QCfK7~S| zYUr&;`^E|w@e7RaX#Cb(Q2U1t)H16oiUSqUOf_k-i|Ihn;)h!>(5m2d0e#WC0E+7( z(T?7uCisf26OBoyQbSd|`Zo{7xtlkiI$2fPGXZkOUz%k^80LURxbo6S^pL@D6Nh80 z(97qPHM*Uu_PBRX12{z(R)A+VELH1iezWe|w^`8`@^U}(Fe~OuVyJWNLF&?1C5&=v ztV_c&=F*@>jKap~Ld$nPAhltJ=ANvu(VViJQ0KO5_-qSW#Yo989#nH~tcyB1Q>%hm z+H6T%=H_B%>rnMU>*@(JHA;>Z3!tKaMT+ga+D2TX<0a+h9^t&cOyT5WQ1}Lb^Pz^g zuCbpu8Yd-Hi2!y^^SleY-MjBKH#dU@9$^ZXc_59}OZ_nN>-jH%usvEWBd*|PgAuuJ zpJ-3KzB!0ER63jt^XikR-*Sq%4b=YYbTxuJoD^_Q*{&^Xp$@Nu($czqZlPzA}%00cz~pOt6Me<&G>@8ak+?nKe3#i7oXo0N`fZ`uTsbN6$Z`(!%keW!pBjq>VKaLU_OFigV>82~jW?YaK zz?0ws1Hl;5AdGsq!@2HoHQ1>jb6($YcFu2FV`b#cD`WP&@pMsUp(i~Vbt)+v6Sw+^ z`W+yj3c@k0Dvcje-cr_2RQyHdh3a!m~MEVq?YS&BP+sUnMxC6hvoy+S7DU;ULA881gI_- z(H5YcwrmskhGRqX<5e8$B2Wi#Ze*(TmMy)W0IJ}FOcGqip^E^ZuEC*-&p>cK4m81> zS(zI+W7gF?+ty6sq#cDqaR9K9cYHIgLSCp%*Wtd{qwQ8V@kI6Imff1Fv#`sTFXJ!* z&S(XRK;TQ_*2(D0IR6^wHB*D4xy}nF$>ipOw^>>qQ+*r`r;aO35X!!L_Usu@D3G(1 z&>28yB0`K!-D=h5Jzs^0FH!DI)F>a($2#n?Ne6p%mzY@Zxek4Xu26n;Q4ijJkyyG2 j|5ILp_#-V~3t1wiHA`VS^xF(zry*xg8|dZeTKfD0yL735|^POqwch0~$zpi>dNcX+ZrbzR;vJF49P7(0OKj}GZxdzqL z%_>qx$|w@Aa~2-%ao$&mFLe@hf;7&2_1A>{hhw49{3_EJ658~kp&<&zxFz=XgQlYx zacJh~zD}|!(cDuigeKRc%Rp&m%d0hV8m>`Qg5LO6>1r~$TYWfENe5^5p;bRhkq8f(~v@%8nG?URLg zfB(U5hhr8VVK-|78a~eo0jw&fi$M;`tV^t>q~r{Wv^<>(CvpMN|Ijk(Wt&@J2V>Xk zZ7GtJ$^KgK-)*;3u7WL($b$sDx#(8n_7AqmeB5rH=jehpGQX~XO`BP3r%U4nc<9^_#Cq|&gQ+^C`^|gz z`4ssIB|R%G*W9^blf7{Bn&T8H4o?5klM}`Bxd~ZD8F?d;$tm)lQsGAt2k^Q!fC=B0 z)XAnbt*9W1n$xyLKS*4+8i*OviZH$@I{1W6B{86(g8vP`Qo29aT(JA3B zNVs{#8FpQdW2;n=`J0L}kCUtfo%yw86U6I+zH(vWhJouNv417u{tjGg89dk3L}|H( zz;vqp#)^5LBK;Z$x@H@#_JGF(qgSyIeYb~_r0(I!D}OYWQG!2SW3H8T!0C*Q&QoG| zTyw7?=!p(BiTdh5gLRr9U~R3x?EW;OI-p@J6gRAsY$5K`M|-=iwFU4N_-+LSTN|4v47bDG zx(rws+yP~ce@R(*7Izc@sLbJksdtBde7Lww7gO&5v;~>jBKP#rEwx%48UOE&r z7>wM?XyoX+Vat|8_Y2=V78D;JucD%2iZ0tJ?qb)%nM;CwAatJL(F8Ra`1mvYBIClv zl%PG5TWEzd3u#caMqkI6QB_K_U;GVHfgAnMVN%3V#Jxm08nH~bf)LOkuExDqYuRsM zt};4y#a4EYb77Pgn>gaX7fdfOFBp)09eog2QUH(LQSip(+v4;)()Q*H1QG)yL+e%< zkPal20Mg-e++)seDz;Xm`)RwlEs}j57d6QSM)`HBUQ*$mZugIhC$I9r6_7ftDbRot zYn|f;bzsNA(}%PBH6Y|~8m_Tofg1j%=Et1`$JnTkErBnIo@9+GRTW?T@ce)Vv3~O~ z9XELqfnh}pWa)Kma~tY5sHhU0G!TdahHKD`{P2tOfSulq1hHZZ*tUToekfLK%dh~9 zA~Vf=ukSuNuQ+^YwPwoEbne;I?e=jK(*cxmblp_Ex_2sss&g*S(aFil-u_1THtl!f zcG#{CR8P!9*^IZp%5Fv^f&LbYpg1RS&iOc1w(mVsxG7*V@9=*lWYN5N3k#a$O+ni0 zmJd9Y_|NVAFV_*$@TpgN|7$QK_U;5-Qg$gt9QjymM8H}eMrn1jCrKDZ#>RA41fyB8zmtuk=HPtX*Xf*ve#oKN28~8j z9na;hpNJFaey7QjLDh|ojVUQ9xs}%pfl&hb=K*vb$ltqZFroJ)9dwAluurq*xE-*7 zH}V4v1OjuBcP9boRouMd2E^sRnG~qlhEQ2qIj)*T)mk@K=p8N*eO|0@nn{a5r^QxP z>aEY_?HDs+<3X7;afbx?neNsar`44MPs`T;KG7O!SCRp7zF615A>m%J$H?U;S|P=@ z+#C h3t$>IktPFBK1v>@mQ>9?wJ0A?zOLc=vt!jK0ffe!XUwkXzTy{{_G7o65yR zBP)OX_1EXm+qt_---=z*njHeF$BGqOCvj=SL6E@o&NEyyw>Y1m2G#GLlkx%#a@OiHDf@AGUAHC>f&h-bcPH5X zY`(%%EC7xP(AAm`5s#4_b-Q`C0ibNZ>AZNO0%l8VWcP74`u%Mhn!{I&u6w_3Rs^0= z{Gaa=JBs;G+|;gZ)R*#wG*lcC)PexI|2$@jpcTwDpW5ZP*om}@j|cAd?uUCV@Y*3F z(P{=Nl3Z6cKUV@OkZb$xGZRCwX;7p)YPp8GmIgG4MTED;!+X<+_~XG`pcs#1oZ+Te zn^&BBZM9q-Sxu=H6`hQ37N9i=pSb`Cm$q)}hClQO$5y<4TU&$zwFfliRpvXvph%0C z4;_72E?CwL{^J!zT6_Q$hkmQ{EU-VpeXpW7`r_m?c?73Hk_F* zlEt+EEw5cgmUng3$^gNQ#gfupZe>#yzh zyIKs9Sz#eH`=eYqbHbE+Fv{-utU zclt8kQz80+!J1b+t=j$u@4`8Kdm$(&3o!f+S6;07?uNoXKho4tygH*QaMZVw-pN(_xKpiq>?t~O zct1+S?@|YU=VD?K2g(U{r~jF0VQmBhxXzOJXP*8)z(#BE^XO>h&7S8T?;jQv6oBY> zArr-wB@B^*OXwgov>Q`9pN>%K^sDUh)%)Sim$pu2EaixyyND+Y1!PuPSsBey(Cb4K z^d;4Zgez@lS0+^*D{8no>QUTJMqOTdyMmU}HY0kIaI3>HF)^`eiRlf#0R$8FKW0tJNv)d zM5R*AW?v=g3q!$&b=fQDZXXOE%LXetrf{J$P1Bd(Y=&)TGDVqsa}C?nYXl2@?{UIB z>D9nh*=_zCf`fxik;qy&yrsc7=3?!lFSAw<))v9Y)cY)$!HK|o5-ccQ`YZMtmu?Y= zwfq(|cAgnp?~I`bFL4GfDBD~(w@lMCi@RJtMwhp0PXuPJ^n0W_FT9aAo9rncjniLs zwYBX+ot;e7nYJr_)m6LjG8Khg4o5fN`5gO`e5>?V{Q>V)2{^2rj7+icuJ9L-{=5u2 z)KHmaiVmlOh{zW^Zzl$b1dEwC;j)Q|NnS=cyT8Am;KD1+J$*}lnn%P57VAU;3yN*+ zTuR*}xk(9ELnNYq{BgF!(o8UJh6|sr8r3ZQdVi|OaEpI~b4ZVep`l?;^7#0;Bbv-> z&cuPz5NqZr7L@W#!DMrD^V@~niL>4ANmJcr?l*1}B+vDLM;zJ9ys*#^D|zy)-=1o$EO&P4$JXL!5VR>6 zz87GC#1u?hP~@Ev9hJ5Wt^N6gB*b&(XoTu zP@%77PM;$0J2k_Im?87o1QX@9(6=XRms`*oSpK*vdgDYP&6^%NoREhPpv(?8Edq4# zJg-| zc&LH-8R_!@Alm&ZiJ%A}B*8r|-QjJh zB?D?-nX9xxG;hAhOV5WVKbWYb?_wM_6Tw`m?jo0r=VZA~g{-ujsFOkankd89Va5VT zdmA|y72hW2$9wyi?sK|)9h%3v#ocT5f ze#X)?rq0ngti{J={&8Dm?s#z4WiR}XZ-oNz>T-JAk1&cXD9fXnbzW^5xr=Ux<-x0r z-Zwf}wL14cb5*J|li!gCACsr;El+ybXu6VM%*aI9vErsy#U&lqwe`yy?5AG@!4gk`|HmbOMnmlnc^wy4R>HXN1smlHU6EG!RA5okMZCY9i zRb~NR=y}=Y(#Q4w7|mj_KnY8*j;&@mK9v|X<&(zPqTR?|ELP3YUFm7_3z6To1)Mvl zUQ(_`Fojmn0VK-;g^g5ZQB;Wi6~2zjta#MwkRqo469-#5%@9muh*%0YQBlW6MEnAp zFoWT)0vh$zW~E~}k>e&P_Vl!ip!x3IyHqoMGTjd*Oh6C`YFj4QKB$%67|G4X%Iaaw zCN_0@^`Hb$9z=i3Y3Aw_8b?YFX#OVE3Gk=Eq-d!?_su)P&9Rx==U)uS+!5 z#0>6ohH+J0B=ys!9UJiH01uCT{`}ckStn%j*RiMZLbiK&M1(&7QxYHqrB(V2cCn(8 z?Ca_28HI@r<}D2;5rx;n!j`8=GeS}l%HCe<)qaWd^09dTHk@$Ywr-pQvmemIU>@N1 zBJjl!;a2LlBqk()J%~QwS#W%-Lkglfb;QX>0MvHcCGKnUAM&_7k-5Gt|XlEoW1wi z=e+L~Hx~zuWxC5C2+}z8{eBn(Eha&bGIpsFxUxqJSqxs5oOE*74@qUe_o)T9AZR^w zX#aN}(U}|;CWRG29hzjcG@Q6$h*EKGyuWGHuEdrrA4#oW=&sA#RF&_m?l*LMQSgy{ zE5FEJ@o~$Qm6%}l&5IwJHC%sho%>+BdEnOxw^F_dy04pgGx+Pv*bPgx7wJE3YW&br zjyY^UK7uG=GQw+d7i|qN=A3&`Jwq|I1)TC6_F>n8He(RmfaL?W3V1zxdHrGtTDocJ zA_%fqvxlGrx1<#yQv81}|HsdyIA14$nV2DcKJYX-?A7>$DW>L0Xnm8`354Z`8mSm* zV)WMT>K)UZ!b~^E`4E}_HHZ~BP1?D}g{zHCu%!G~bTz2}IbM|6vdLm~%cbMR9mWNj zZ+L53IEy!ko@+|ZjrTpJ?WQ!Cm`X}Q>%*i&zJu6g%p>YjKH~uk1$WuZx?p^}Nt16n z{M6rRAYUngX`HhYAb5r23V>SdDlEW5?&1v)w0HA&OaHRVg`REdb)$8(8Z#dKD&reU zL-&NoAogkNy-Qv{`%$e0qqr0}@@0g76u78dWMY(3{2p%UcQQ0)5PM@V#>8m(4~S!y zekC5XbYTX@e3YmRiB4tyoeBK@a7NhSR?b|Ag+imNSt#aVFES=-P%~N86Ylb*cLg!j zo;sQ6oTfcO97uZnv_^2})c@uYe9s4I>4%Db6smOo+h2|s*VfkNlM_%w*af1WM-f|P zeSKeIdzyBWCnqQtx2=5C#OQIcXzo(<8UlW&o3$@X!cr$4%mOJn6WzZ4nhbaGqMY&O zYgUl`sXhAQH0^`8xy6}gzg+YmTnz2B+^|5((%!}nPw!b&&EoOGDJ)bZ&L?kIn)c;y zh$j+kZ(~8A&O{Q_QPSyY=@;wk4oKEjh7hN+G-mgSi;fW`@d>E5zzTstklv$Iou$1{ znh4Yal5F=r!-TusHE~bVj!b>+;qvACnzB%P?llQr&8cawE}yP8I>RmTIeC((_i=nO+)jNVOAv@&)W_XvVRO_nH_8FSS=Bu2srk;_%H7hhP++z7N5R#q z$XAtgHSKn58QTRq;Xa){mVOVW`gJ}Y3r~&^1`$tFue{&@>R|Ge`|O(4{%TqJJ*)qu zgpb;JN_AhYJyuH&t$+6@E=~J4@MF9Ou`0*%Bqy(FJ${_&_9&;ZT1+u9I{dO@+-$em zQ9y5BcaCP7A(CFwdT(TH#S*Q@B?^9E1x%%c#)Tt0umR`Ls>6|OZEc)L3VT~Rlafbc zuU^w6S7U+GjhnJG5S&G+{EZ1F6~mS9y zl}U38*5m`tsnCkkXQ%0MwM8V@dbVqRX+x?8LVOxCh^+{!JnB+tv4>O^`Rpvv;fz3z z@sgdnR`8=tQY9KEZ-ern$E?iSM4EXO z*2`}Lmo}ndP{_)SDg*i@mw~r5(~(|Q7-8m`Qgqw}`@hb?|5s)+15IK7~o%kd*G4WDsxqHct)cB*LRsLaiHSo)m8a>4+Z_0DPXM~J75{W+k;Zv+#Jo*8JD zk*e#HKbxkQpi&83E_*dy&IDjiOrL#qR6gIjVf3p%wCl;ndj;)T=k@9KHTRwNiMztU zJpZY|yVw(nL=I|_1{PGcp!8Dz$hbBWeAP}ciU3~!1|l#YQg8B^esV{n&@7pQ%w7Ig zvyi4KA1EK-b77Q&V9pen>%yfoddGjVO<)cz)M`SpjQqn`56rBU9QrSTp{m_S6$F&Z z#uCMR2703xi?__bc}zf83t|R)gNEWP$E3=WFBH}W5k*pGDRENl)zlHU}L1r zPwp)NgKwZiil=GmBeZ>me0>CLrR@B}8_Mq%0uw1yg6t!5Ph<8@MJMd^FEg;WNLAmJ z-!9nJ3-}Z$G*#vrTdX^glxK<5RIXX&8L*-NtDz7%*~9!Fh1UNDFxkSwu@j8Nc0a%A zKF?{~+Rk_|IePwOsg!rgbjF;b9B#K@Mfl?^zesP5oa$g||KYoD9`2A&k@EfITcpAt zD>jdnfkm<1AK*-iRF z0XFvkuiyV$?;U&=kpP9*i_Ol?&WA%#be8M}0I}}PZ<{=A`!x)0SDRMevaKsYBSoQA zZeIiQo9rF3jar)tX@9U(;E;hx{9=K7jxT$Z%|3@#ffAT&F-HP`Zk^sS$5{?R)ouW< zKbm3eH>>;gC~MiAf2yJr-2G%SQPtoqT4#9KP!2{CMH8~Pu|wA2@Ax*#Uid`k(XG1w zj#~T<*#FMQe>Zpj3x|4p=6>R z7h#okz*|fA0-JEBWR60eqMJB#)p4y86BDB1cuobgc4lJ^dgS3P7prrP|6E;=6EAq0 ztf~`WyNWlLp^ED=ji0=ln3xEo`$VxS{F`s*GZPQAv%~jH-MDTenrI;4DcoA&8z)n7 z*Ylc*di8>=$oIP#Hq%WOwHE>dNAT`0$9U#`N3vqZt72xy#ny(Rsb*91@#2PRt=+@( zLpj{hQK6WNp#^uAAth6H#A30uXCuR!Tcc_iOA-k&>2-EZToQyk;_Av69v)^F@H)hJ!(8d4Q|& zASVPPEc0((6J&a}PR%Iu{PZgeWb9-kv1W?iQS6PGDbL~acp^@N0eU!hUe`uAR&H7~ zaI>-J=B8I_8*t#}$PhKcC84>&u~2dz7>*Oo(>hSIs`sgG5C1|Jq= zTlJ^xIuj6Z-Dc|77cXAS(xhVNki|F_ZVxXvM>JqWz=N|G3W?zk-a#TN0^4~!9td*2 z2q_+U>+br4?}6LfrMMM+B+A^!t4tyi>DWn$;)-W`r6UYOo9KzM=Itf~J&b5FFE1~Z zqw3R7xPy34@@p6y3pO6i&p^SFv2z{d+K9JD9MWJVl<{gi$>enmzlh9=>;iX*jQyjd zy)?@D7H_CK`2^s^_1h0v7(ES+m={em7}9|XCPK(-bG-wL9Pged=Qu7)tVFQ{bN$!v zz_x?>x?%)v&P3&_13p|dQ>S*~5{zEX*dwfB#Eth#-f-h*DKfke@V8v|%unZFoX_rr zAeBVfvjEcAUBc3z)$9`*CqQ`oYu4kN2{yCcVQ`;_qsD^;c4GGHENdrY9iQ;lrqp%o zdbFzRK)qQ}y*`eX{I~872M?wrRM)i2U<=20R)r0T?5@6~NCczE=no(Y4!L&^=ATQ| zomMDqy_ves0s*cP@TH}twlOooJvCKr?3#Xk?h{UBS2{u?eHJ8yywJFsfIoHJb|$7* z*wgA@$l@I&6@pvMSy4R~pRIJzvkE^8FgA_+)L;7CfHKQo{%q3aSFc~A-jP0l3T+{zT)Q?SyK%5` zci+ohj7(|3jU1_H2pj-dfL8%hT4%im|3;V^5}U{7c$Iwdaf7t5*#SP z@uFmYhzRHfqpuCfER7iL$e%rFtc``P4mIi^YX)vQA;e2a$ay;4AZD!e3_R(KEsz9@ z?(_SM{ehOm%#59@I1a$CAslwF6O6!htv~*_5dfB1DcCWAvQ|%2ZyW)io15zzKXuDGa%?j}Bw*5NXWj>8AT)H%EG)@wPN}i7=4`-k7+pWAyEJxwYCcDA?OIF0a2}{H zz=4&ub=Pnbsjybe3E_5EmE)(zqi8Xbj8^5ArQa<*|Be+m%d(q$s^w^`0}xy_lr0=# z@u>(=8>@-38p1y6Hm67Su+ z$B6y3i-0HB3~rNgAIQsU_=(9xt=RkcP^oy9+gVtYz4XB5O?_gjyGG zz_G3vWq&Jm#sLP;enVB?`UsA=NMNBDy;7nWxfqATfn%4Q9gN=QYA1djRU3B06MKM+ z=8w!@jo!&KZ=2TuqsnR@^P>~DBfTuNVQ&E0Q3PU$5Fmslgyj1L?43LJ&i&`ky)Adfftd{NgyeV5dCv1Z z=e+Ojlkj6(HfwH%Kp)bhB+AV zQhrlfa&K6D*__{20w!eeq0`$6sZOCG$IG)wfE>2IXI{-Bl}A@ZAnOqnuFmXvMLB9LWd5mKKoDKOmZR;%_`M)qHlc?!!` z{4r8k_`ns}vRW?}pZaj=@%Vk@l|aina2`QUqoe?BcwcZPx6+Z?f%}Q-9#;RJ+(IG{ z=1$2XV!$xTM02m;{O;2C4HQ?1WKZTA(16@YiuzS9y0O+Sze%IN%y;IHi^}d)@qGjf z#Fu1dnKbuqyTA73!Z^>yE6fNAkM|&XwZdITym~CoB3menjxK3VM+%D`J|7z1v<8%H zJQ%kww*Vuqxi_C+#C)Y!jJv`eAt=o$JH{M`l8abGL~mFzZsRvb%-VJNB*#9_Q~G7W znQk0*IVQL>of<@N3dnlJDJ(QZA<3;x&eirrgbTXJkaBN2HU$*&!s|L1ro4Ko7oToM zXMOLx$?>mmz5foNO1pCnQ4IWVEE3EmVGoEP#P=DC_&WLwUa#A)GSm1^|Q)`w3vHK=~Zm``9` zGo~fTn;}jr~Nm{?T>5eZ2hhPq5FpTb0}B{<0$Oap`Nx zx#J)MEUIrV6jcB6A1PR!OT%Ic{py3i8Lz8uYQVt&GSRvJNj7)uxE5d64;L$E-*{+` zuq6TG)R%utDA>)!Q14z( zp1Qdv+^VLQRv$AGoAi^VoFZ^ME6vEVDoakI0n%~HKU-AJ{Et31$W54rYPc7lsEe@e zc{=s$pJ@O#ubg>;>f2|*>}p=Cjp-K{7&t#U;CxglGX^=y(~@5rRQ&ql{L^8Cv%l~{ zRc|m~ev%k?VVpB>2PxUKby(2#rvX23pfm?eJb6M&?s<@dPi#d>tY!#)R^zy8e4+nt zO&GrME9MS-h;e*;{KO!$ij}*foU5}3EXV@*pVH=1Muh*0fDounTzBIl7RlwzQy-rs zvt3yIe2^M2jZmBNLIoX9{UnJifd^3AH5hf=eO}LHl@2GRZDNJNmANc1}uA_IqA;IG~&;M zit_ED$W?%z32zu7bW|p~&MCX538rY40Ng)2jJwX92G@1=qfQ|1MLDFniKk{8uGSDEkI_pUT3%gvuj14DO%3V<|v<`AWLW!7}! zkpd=4R;Hc~97?~ZxR^x>>U-myhWVteu*cco{mt4M8fu$d2h-7Mb?084TG;W@B{0IfimzzT-E%2RGjYiD7w zx|I2ILo&`VGm&ITJyAgG-H>p7k4PSa2HV#1qHH3{jokIhzfX@ov14SrXWFI9vPxeW z!yAL)6!-d~^FJ=zx616rQ7?@m!<;UwW7{qrc6D`?vC!)Fr^XPh!#{76Kd;h1-$z(0 zH&MWn`Kp44hlfKE1Ty7FVRMa`>)BbWQhGq|!uSC}(|(7d=SIa~l|*s%7IlN=FMHSC zXt1I(1@HX55*_o1yY=|r=B;wU9V_;%vOWIaW2lqn?*9TD9ky^~BLt$~F)+LSaB8^C z_loCgA17Gh+K;H~dsU0ukLd>C)O};O?sAEeE)7Ws=d0=GU)`Z#uenUosi}tl6WcVt z>g_;j<^GoxYvjI`hDI9LE0fGHCPBR&vwQY->O_qEa(hWyt7vebp0K>|+B#Q#R#dfit5RT$tr$zC)L%IscfGI&k+S(<@tL_ywt<4XAU0+`h%^?|%2GkNO-(FX|MIcC9RAL0prd3r{DqO3!>=dt<#SSOO z<(ImWy*_n!y`-Wyir?&BaMz7^7prbH*X=Wk#v5P5-)(&YA)It|ebd&~rhy_&k5h|0 z@ykNHZ>+a-_34)eCFaaU7{m2xL@+;gw5Ui=Gsc#bw%*++lfXcXfMj)Z1-98E0nwtKB z*1qw@#l^_R^l%)YW`XGQ7u{fHtGiJI@3mpXlvV&@w1TOGuY&T!)DmYVu;j|!FuhhN76|K=U zZm9Pi#ype1Jgi=G+BSkqPN|-XH4qQg2tlt%?7Tz>=;%nIWA$jV`-7eYKL^$I_OVzd z&ttwH;|N9a2bpg?BZHu$9Bb*~tu0!%&=gM`cV@IvYf#0_+t>GlWQlJ;CWZC--MDeX zp-9dtzorI1Y{3fbesXR&;mD5uC_ytQuRj#IEE1|Ye)(|EL500Xk`26KreCS2AV4RS zMhM27sV=~n%`-Tb*r8}Fn|e?XHrX%3XA0t;mFR=6_^mvsx+UA+27DkEw4%e0P@v$8Lc5B*@U@$Ef>k>0Y(?b!Bmj-P zZq!r;KMKW;JoxhHv12Lv?j|NCF18w)n&!d|r}RMu%@9yyM{#kz0e-PjUMD=8%{_~0 zHqL-^K0Hp4bkVCjXT$8>K}E*5VVd@-;lB))N|wn)9<6E;bVdl#TPS@Xtj{rKCK16h~Ofkq>C??5BM%LXF)9dA_3l(K#qECWl zd5^>K?F#ECwRQ%~S*|0#l4uBc6&)i;ClhxSF)mLJzakT5pO;`Q34gitf>;Gouv5aC zeTr<{Au0SC;^Zhpx$La~-(+IsWJM00jvZE)mzPI1KL9rvX@Gy*+uM(---HSQ6=7fA z+CnCRCW=TfsDjPaLz4jcQa~xEY%3N3n>~AbosM4yjU*X&t#Pwml>Jwyv#W8r zu6-dYGhz&INgxyn>S8T^r-EwD9GE={sQ}q{SO)%R#Y+Ta;(KshK--eIA*N`YYCZc< zB?%#uh~{)t(AHJjbA(r$~P+ z$Q8H-3cj$g;N)m2lrAsG5T=UWpz5G{xjrMLc9WX*m4&ALt${f8R0QDiNM0d*$E5Uz zRPBXCA^|c5_>73i#7haXAD6(K&Ja2nGUK_!t6NaAWCw@C2!g%KOCA98=Ni*#8SRHht3J5t|5c3IYzZ|(Ie{o;^bK{+~BS zZ*4sItbZw#Tk9-QMZA;2Rs_tf|OdZdWuiw^% zV9A=D=wXG5;cSN8GuFw2$-}EYY6stgX5g|4a?R{@{^i3I+U8z;mMm_U3;4$b@!U?~{0R_caqI2p16cytkUL`#xnM z{qM%kOHc5EUxXUch?lkI{gGYg{V+hYF@Vfi4>%U4Ro9=TP>Oxj-EXN0Cv{HN5+9QH zG@ClPXOh@OK+Ce>`5CRfa2N5&24^-vG(`_xk~L2A|C{e zwGrOJ9h+0J{E0{TXc*t&Qv!2&_8d0r-)M7DF|)O|Gyn37TB~4t^Nhe-4pb^r@z#;+ z<3pi6f$d<-Iqrsyxnuj!gmS&ZG1&7j8Dy@7HA{9lnw%k04q+JYvG(c*V|_eS8|DMt<;2qv|TSi_Eu2L(W>Lh zdKhB1cdiCEjdNjn(m^v-Up{F(@>Jfqux8 z7*bq6se!-?H?~CYj9`O4!0q8wKt2y78?=dPd6G{?g&)Z**Oktu*O=K;H?r9C11j(Kgnyvj2Irz@;0S^W$^f_TooYAX{s87Z zp&Vk^6P~sW$Z@?HLC)MXA?MGXtI@2kB|a)Ne%wT>^>D+Ws%+4xFk< zJ>abA^MU1m_Q3M<)xhU_k^lQ$5ttgkzY!lFpMi!zCiR+tDj*|^8{WsJ(!;;YLf`&m z2p)a+&#BxT8+v)?`;mAz9!R`d`22w1s{A5KC2Nj8G?D-!v7ohZ12y{v^RG1{-2Hn-aSrEOg#J4zo+8n3aewslDLaJ zI{j)KaZK6loH>)B}i zE0cVKsb)Jg?P@i2g`Uv?X?Fhkh^aoocL@tOtLv`67(ByMwfy>xH43Wi3_z1eq$Y8B zwl~K~Oed))20N^wN+Chs&hgQxUC$FoD&Y+W#;Betp*7CJJtih2LwFvcwc&VzRpvCkl2cD&7UtQO87JNuPkb$;z;vT{{# z_{a%eWcMp8gRVkfXK3GMc?iEWbj(9)S>uS2Sg=5z z=CRe5P`77`8xZo+8e<-@Fwf0)Y}HpWH2l(@$R%46)#D{aMR?U2McZW&cQ)N%)(hGf zwZdppf+n^99@^-T5;l;P-+&}sy*m2)wuDUv2Ab|AmTweC{ojPY+h#B&Xozq?70bEP zYOeBpXdh*0XvmOG)c)&ConJ&i)dtVK{$B^&)5NUqeq17B*Mt!W*3k6ybY0|Rw+~6v zcMr#X`|}PIly5+q86Ng`RUYhk!y{>aUb|zvp`kUjNEpW2_+P)_xns2ScylKCYVWOm zYOpj_GAT?X;Bj=eO4~klS!K^b}*##i8D3*I{P|@K~L^s z%>0BiN*?9Q`8haVgmS2hLAEw3ewR<5y$lerGqkNlI9_QS@q|1o%WsHKkI^+6%_{@- zaEx)d#F{~FvPBH8z)c>4D@`(&9l9nMo+#qY=9Ub>7zY53+FSx`pnYOX%~XF~vNiPH z`7jCKojzB$y?l6hxJ)T@Mt#>C2ak@9PC_p6XwhPo{%wBfSieNGbI)K#@|CcWN#L^RbGdo~>h9*|)=}syZO!rFILV1((8#g+4D|K>L1Ec600xY) zDWKNGa`L(Ex}9em6-Rfo031O_hPK7;f7_ULSlX6HSGyv&kY+}v=kbKN>MrgA?LK;W-XcQ2r|%Cq7tM5qCT%BhR&7 zyCw0{-uPtoE&rHRn_&zW!XQUm-elzRjo`}Bs7&!XGbIePxGShF$BDy~#HN}QbzZH3 zX5Po3ibtyS{dltz{4IoR@+c*b=&rKdUeU94={%2?(^i|u+Zz%`li#M2uh#4;nt5kv z31!?T3>AwetM-9*>MJ03+Y+axQ(dNWjlD225aN8z^T4_ zyom)DcoUpF3-x4gUCP3`c5e7|-9C{E$`Qy?p>GGMY%+K0#)**x(hSG)lI+KA@oxYJ z!EchqPsKK?=hvpN^0+Dv9sYyt37@MPU}>R%Q;*)ukVkpU0QHbcrHH^kPI-EY!Q0IY zuT2b|9xOs@Dl7GHGm*N)RDo;a80gB*P@onDA>EOf>LgPi4OvH4DNa+7U z$A-RGCow6>srYK2BB5_a)y9huhKfzYzbJ^6(47I;!1|NRZY%mSqD>7E+O>OTla*4nOzp zC^YpqsLj$xM77wNnh6I2IPpIdQ(s^6iu&cn(7QY66m{AQtxqQd2W)wMeF-jnyhYNc zu~g$0E?K-7*k9y=B`7G`a#oR*nPP5jSds1gEKs7*tJGJ3_D&6NUND%IpC6#Ad3Qgc z{*r24KllA`3(R_NxdCj!$GH#x%gFuj-^{B>lG(9wYYKZk*b?N#QQITAhb~0@3rE3* AeE~i&ka|a-YjVAP|M~-<&}~ATk9Ih;+o(P2h@=5;_;W$zHcGI|C6*{-2a(J%B*e zA?MGWz7m)`GvE_@&2?aID7dew#=KI!<1+ln8JEM`laH7@-Ldt4+s_!e;zI;|RK;$+ zT`^U=OwOE-T^@tqF_BX~xk^27rQ>3Hrc})p^q%ZYt3aKj+s)+WC5!ka(H(xt$(NOf~ zv8uA?pjsB{5gHqX%#(mCJJth@X|}VaRdq3VylPI*jrN0_y7^_yh+Ozf5Z^ueADjKhrhC7oR)Nq* z=(804v*@IJ^R&i9ViNBm-0i^#uNB3Mz3ML8@FSwT9PQc+=;!q59XbnEG3(| zVQ7kcJK)`}bBbkYY1t&<0o>5&yAu*LjmRxclCHO%nEKK-(2vy=596E_P5?6Cz4YaD zIE_ww&z6PtMj=8*mF`$&=^Q)up0lepAa$ced!5a3Zx;Jc1PACLYt`3d#u~a=2=~Bj zQ?Ag~0R^aizvWbL2U^K1(HTA)gGi2fh^dZZKK1YFEG1Nyt{9y29`A<3vkedYHBkD0 z(0lvweu$#9AaA*o$-K~hx#M#Qk|Zemq-v9Q@|oW~6eE160nGO5HDt9@avWcE@)5-y z-t1O}=vSFhO@HsSck}$)4a-5VV5Wf0TV zPQLz2F`k8_K3_XT=*g2Q&Gq%)P<2iTHcWCovRN|-q;%1Mzb9#s?ruxfxj?c+7@R`O zlSl}piKeiJ$(MeX=KP6k84trEhjrp%Mb2unrWW4!&BJfHzxvfd{#|a{^0t{T^qobn-16AO9CdyipEN${yeP@z5jh}U9i-FGi<~v4UJY@v z)hV4nQ@@AdCwY=$>G`1HKB73~<5!v?(k(mx`cAk`6w?9k*AuEwW>W2gS4GGY4;w&_ zH8%;Gc>BSk>uQ+zEgAtfc?Eu*=Lw1FR#5Legl{;n&B@`)QbNt&rx{ADm5l0|??ahC zTBEq=)TDcMcVzli+Tyu_Ieh#9dx*3T)>bQM4-1>%Pq^c(ov$ zf$y=sE!68(@#10DJA9t!!IyDSV2=*)p55q2l4*S$C;RKxzMg2pYl zR-?p#3kt@QZ^y$7X)~h?<;hn=(H_kLpul+qb_m!*(sSj}9nv}8T-v8r40HJ{o zLC5GCnL@RGKrk=nD|DNdb(SPt$y=`vHaCQ5Q1mMv(~#x5sDm8@5`3rodx^Sfgwc`JNQl@3%`5i)27gO07{O+OFdDc-&gDP z%7TLjtQbCO|E29!yA_dz=DLbVvl==ZyO`n)SD$y1OS zD!-|8_l70#zec(yIS{+>^HIyBb(e8u(tSLpQvb(FeTr8i5ZAb;3S&~FDM`pp^X8AvuuRB1A5eHCB~ z1n4_pj*8e7$#L&!diXwHw1miKhE=%z>EgOzZ?V5*ySxDqS~m}HUiM~7(#4Z0qjOy} zGkUt;J-);^9P0BmnNna*V3O_AvlMu>Kte5aL!EJP-Xf9@hQ2=DfsM9qMMCUL3HQ~6K@#>ILf;O7X`Knc}{B5+| z@W0VXep_3t;rdS!MnzgfL&Lq#RJ0u4%u}NFd*F8`dMO#N`p)s`AMSqUIP7XH=xtFf z&tc6p_XW28t5K^2I|MBziba`Y_e?QZY!2=jI(X()zK}7NMikZTw03yoJM?{4N-=JZ z-K$EHF%^wgQn)39!r54z<|7&X{w>HCw)x)py@}rrc=L9qE!PZ_j2+EsJa({l$#kJO zqzRT^>Noi;t91$l1qCcRkshJNZzm*IScbeSj{^~)BJ;r_H{dlANlTHOIbLw-0R0GRQAq9@YD1 zaGS}UUSAN18m|9l2Kkj|clqiB%& ztIH%R%mvmNfKc*K49TH(erp?#3KdSFeR>KgWWP_fD%$qNIYTQ?HXlBGc(#nkMlm$A zk_&GRzmt5I9sbg%CTz~Ak?glg&ZMo5N&Q(jO`5?OX;5fmppig3=alhO03$ZK}Ko49e?Vc zMhL)QHrLiif}aaKko*>4TqKwyvRLdcjzep~KnYI!+FMSiE&A(>3l}cL#>VO*cj$fq zk~uA;*830zEWvC^K5HiLT1hc$X8-MuOA@j?PK^tbq}0M16mi)qRr~aPpO6wl0i=LemgN{ECy)Gp*HiIapmnC{nlSr7RU0@^m6jTLZdd? zzez8H+-_}502Hxosa4+@0in9Lq#_d>@e`G55J4_rIe@!&z&|lvKnp^L?;n4N+70w5 zXmQjktDSSEwZNJ%d3g)Hy(jsEKLXnW$IbS;nO!fCz>gX*(-&^+{&75=l=|oq4df(V zX(1wzD!RkgM1K2Om20;?RD@Y&QG*uUj6*i#y+KlJq60vu8oxE_@xI6~4N2+KNk;q% zX(cksCeL97+#ob0q?Ei+XDs^E=b7&XN?*a@Z~#8=#t#=IXWHwYHUI+KU6y8VZ+?Q? zsOlaNJ)DImAlu5*voYqHICjvO3klgZ9|E7sdpr4@ zop1rvwumP-mx2pq4pd;@0Q#Wu6B#JRHQc~$=FvJ%D8TQ1v;9FgK)t358w2Lp1LJq# zFGA7j@_E(cQkV#J8U0@+xK9&tvNFiZFq>ph+$}`muMez6qsQrX<|~V7 z;*eTpTU~@2GtWIWX!JAmvWeyhfbeRAb*LYw&FnaG$0@DTTYWJz{j^03G#{nuT6uRf zAa@;II2&*4xbhPzhx-}Q9IY8hIWToOg+ILEwS!_y? zQlv<4QFH*=h?nb(%{8aG^Np7Yn-m`djsOYXVl*EHL}w`)mZv|JLtW)K%d(KX{>5o( z%R^LTRFn^0$Yp_-S78GEd zKBb@dQ~Bbx>a>IgOm*c_4GuD&69n8PkqaKre+GgZ=x$*$_kR2V@^qVtB5kLYK80r* zWxQOegg}1Ad@dC5z{i|CakmI9Q}^!O+ksiSXel4X_)NQWeila$et0gzj@L#CEy7(c zJ?#_JXsA;R%h}|obLV)UlT4I literal 0 HcmV?d00001 diff --git a/dev/canonicalization/c973acfa.png b/dev/canonicalization/c973acfa.png deleted file mode 100644 index 1f737acbf3dde7aec465b4dc5a1733a951d4e5b8..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 9393 zcmeHNX;hQvx{V{KN6>nd(hBJDww5p{lp#!U#0oMPh6o5K3Is4h2?&Hq0YwE-OTwT) zXfcF2Oo2)WD2PZHB@9A0{gKp@*s|8xQYfov>;KsLn7uLoDm6+KG8$7WBfQzsx2>0b_wlmdb5 zgPcBb)FCW$W+WiVEriCMV|8D&DZie4-S;pGW^i|h@lMSwb&Vrtb*BkefWai??D7w(r*O&G-Gmpx~FU^EZ?J!w~g7!t43(nu}C%OU;7!Ue3E-%wUSeMAXmkvF2BHNxNoOK&+m8HHU3J|FFu2Or0_9D_iv z+r{nxcZl1!5dx9_?(fTg*W_C+C-YjuX?y+`>gcSCQ^km&TeTAcOH=#RG}?b>n^rmGG{gX2Wiq*2Yx+d$M* zOBymm&)Fq-=d~jAHnkF6ANFthpeERd3X9x)UD91p2xLYjwdZ*_I{}#{4tKOTYW4f^ zzx-IAS8@`KU56rPCH6aH=+#MK@gD#TNjRRqcW;R*I4zRC#zrMyd%${O&7 zJ|=IyoijUr@r**U0j)Wv;@Ze66!Yn>O_WM9#1FLl4S%!)giI`>o1-I6_8PxJ+fNy> z;1vz@Oc$=HW0hY9g1e8b=Hc$u+4J4EMeV+QCaaTCiGa_wPw43tnAhM7S6D+xFNLZE zlP}8KPXHIza5m)#`P;WU0M5O9Fcy{QpQJujbjFv^`usH%vO`_= zecfDnh1(CsT+?>3_p;HlO1n}F6l9?`=5h=k=BV9Bp^VmBOeS%d_H310HY@vwgIdMX zUR@IagIw}xbe$h|JT$i}ax4j&`@P($qIQmDo8ao7oye2c;{6k~V=PyYIZ==VpqIxY?}!3f)nC^S%MCkySN=4u2lIsnVzGDt23b>z5_2%)TS66_TAY7&7hIP04o9q9}BB zT6Rr|ABr3&irox>`aoSmHl+&O;we=#M#!^Mr%R;rYQxI5lnZZt3BA;RUk7-4s*6r3 zIzlZ={9q))z&hq9b*~_)Is3V_n@I#GV7?deXS=_e{VUz`bDR0h$MdsoNDQ8W9plA| z7jNF2!=IITD3E2R410e9w08cqO^4^n>>R8gIA8P+}fN6kC!;%QyigLWC}j@smv)U0#1KoI1rwY&02+r za{G^}%JPuRNTy45iMR^jF^4Jc|C~yg+)HRZ>0j7h;2BDcs|yD0jL8vx=}5>4Hn!$M z^sUdFNxFB>QMpg1Ox>I^M=dugWrw1#G){=7uH^@Q|K(Mg=;$~p)6zy!NpH^ih9f!EJs8y=# zgT|}#t0wWIg&JkQ2~P?Blo~%-xV2%r|I@M8n1c+6Y^mGjgH+z6HMUlGiX#8l(WKLg z+wzlIN2U$P0R2uwJ^&anXaN>xL)k_Bt$vTuG7PKRfrkv8G^#J4XSO27-hp7y!Arnl zmBxC$b9{-jx^IkehgElKqU6?u?8pXRGr8yy!(a=B>)t)ULl|nhFe5O7xD}&YNR9_- zbX{VUT=-(Pwc~`QTSYkt@z-iN?+S?hC(pHgHikBdLME;h&DHst74$UZc4p3_h_G(- zns5=CwGIRyViVT&;VtSv4{1%7cHjdlqC|t_YKtvlQ>fPDZUi0J2JjOT(M}>Rl@^6Z zIB{Lidv$`)1KKk>G8_++WqBV^4gHr6%80J|t>oJXx~sV{iHFSCh+Z??{ZnJ}b^SoP z1DF*~gJ^UJOqNk{AmX$nD0f#UKJCwR>GBsX&2to$RR<4C$IeeAmI=|PaNu%FIJK8O z5&_NRxd3QolefKvU?5|ITgw+tegCax%A!F*g>6x)I$z-X*hz)p(iVt9Q`4#Qb&AsM zfe*70j5DAut-*LwHJK%CWT3E?pOz_<^R&6l@Pn#M-X6P@wUpU=Il=DX<9KK;SW4B( zmQu1nQ{s}>%Os&)LL&XNntr9sc+S!n#Er!%V0Sp%ij4-EeZFM^-%d+!2d%xs{=<|&5S;qbQ@?X2C`@7z2sNT}O)9r2sgTVvO zi6l+I##wpD9N|;ho|CR}%)2wi)_jn+HTVt~+zn{!M=k+ZvL+u{{Cbx4T6)=Q>SxxPm_4E*cN$bQ_-L*vio)au^G zZgVOJB(&l>(jQiSIMb{U6@>fOI8;Y=gQQ?9}@yhiy55uH`wmmRywrc zS@;Zpz#{NIZvKq*xAu59G!;M`S#*dv8pi(Zv%zR zI??5**S{g?ZlNQTXwgdEzzyX-PO$mP>-)1qlp*r7L+v&Q&pNA_Rjz zEMA`Bz2s!=b7dD^4#X>mjE1vk-ju&5M1CwH*AFq75$6_fY&HY;Ny-eOt4WqxoGZOW z^Jxuxzy5lOtQsy}X2W^i$HyDQe(NPMbxrH{S^x|W95_HCM6V?3)Q5HG4`{kpUm2|n zk6BFjC)2=B610fJkqaGu4>lst|J>YSE+{{4`u5=|)xr9x2=(!qfEZyh_z^!H)U&x3 zwU{=on)8u!&Ey90%B}6+Mhhwld>(K0eUobR(pbSartD0N_R|l)WQ_h&I-#&XA$)xWkZSoP*5m5TDU77 zqBquQ!Zj5yy|+?F0%u?7g2VZb2LQ@?U8eSygB4zF@MsP7jYDM@n|9fnp0#}Xv2hz* zIM`)CQ)qt>N}F=?Sbe8trQT(>ILwAimLD_W>aoG$&M zyc?OLf@+i5-*a(6Z=c;LDy;<%tQZ7wa9gSt5tpc4iyEinw{zvR4(aMj`ILr`mSSvd zOiDI=BO@dJF0bkS~;#Fd|{%1dfP5--^TR)8pzT*aDP_n%xW~V zK1x^{GG(0AX)-#O3=U4?^yP%xn$Er0jXZzW5;l>3seX~h?a0t0aqeBP;0pwRomr>$ z{`}&3oSfm6H;4F_%vEDn=OVbY8eB!tI33evRx`GngNWU6VFFNY`Nb|pk zp+PX@Z>8>&9Xo&hcK^4kDSVmr_z zpga*(k4oiJy0*8U^-y{`W&r1 z^O|a0(D2VK`qV93Htv6RCT#X8+nirui$_d!W(n^FL;}JNdZlT()mGu=xe_r~5xyGO zBz&Gkoh&TMtM|e--`#C5L2kXCaZt)~uQa!7fZqr@XwTOy7U-v@rY6ipI{-Y*9m`o- z3d`Nrn6x6OX`p$vr6TB5mT0y>F;^~UXY7u*WmMrTHRfZS8V;cixV!+m^BxPn{2`@b z9#6(0q9sC>NA&Xey%{;Zsn&yp)pj3qd&>+xpU%YwiRjXOvue&gND!!MlfOhPA_#}s zmg)yH0~=>*SmMwaZ1ZkpB=~MkqUpzH8<;f#0TE-3fMF|te(AqbZ+?PHagaaq)%oy3}-3#2pn4bvHlTxH1YE{aTbi?(xzn6zi+klQP zP*gF0pQQI_bdz_ll=egZWNSA`f>(#gi2 zT}|=s%8pt}y>V@FW+n@pA?;9W?y<$GPb)Lv&JhX49h}<{)}N OPM@?nQF`n`?7sn~N+>V@ diff --git a/dev/canonicalization/fd84f7db.png b/dev/canonicalization/fd84f7db.png new file mode 100644 index 0000000000000000000000000000000000000000..2cbb4aa4b5613f57411587f8c80ded521d6202e3 GIT binary patch literal 9515 zcmeHNeKeGL-=CIZYo*p5D=)L%9;;H++Ni{&H$_qFEha`K$|QuD#u&3y+g&y`LTF|b zR$itl32MA%bFSa@{e3^* z&*$^~{;r$Ho$NJMu3rg*!8DE>KJX(9ruqa1Q@N)81-N3XiK2oZE6zCDAAl*KuS{lc z5)Ae&?8pH-*DLoY`-6TVon!K6&|}>i+98^;7q*|@wO(`I`K*&#$8ti?l>A5f!@uqO zE+=+tpsJnkt?h@7_1XSrv{9A1t!{tNcdl7Izk zf3uNWbx-T^TcZZv0(R;gkdRoT zeP8Ya*N(@o0nc~$TU8iL-T3q6&wKJ25dWvu@Yc6W?WZ$LAAVjgc|!8HY`rUUUB=c5 z+~Otye4$I>^}XT_tLMlK&1Bx36V9#C31#z=sxag<=xjA-Z)yuRC#xyY6@Ix6opBt^ z1{p1p)RCZjIc!(g}ri&hwF#$zn=AKFRhC!`Re!ufBz3dzhCvH#D>Q; zxTo;GqOrj$cT@^Eh<2~uJ>j2VniByDyxCpWIcJ7Ruw z54!iqLcx@su0>(ZDPgIk$TN+9oBNVj2MA@2!x}(>*S@|6DCU9c1{iGbMmzPt@bZdE zTUhOh^H-Wv5=qMFib6YP7ZOTXJtv!+=5Ovdw$`&3rSgs@7nYQkPHtqg%kw`70@o#k z)iAGUCs4Prb#;5(id=-^EdwqB99?Ax#RKVP(czI#E_{%royyy*2)Xe|$#O@xa2ZVU za^z{Uv9(K<)Dcq(-}!^$4qb|AB4*P|EB$ilAX8|}d?$}LP)zsF1s7&i3LG(khMb$R zw^==FZm_P`>PlROr7#jPKj91SIdOHyoB(`)5M)f6+hby}g)z zCVOIAP}C#;0Kr^EB5CF(s7O64zyN7MJItTmHa0zLYxE~PTTUQX}MpSz9SyM+$eoM!T zK>zPNcvRi=M``2c`zvq#9BBA1&rQz(0=a9EO9UCf{4NjLpQ4T))Lo96744blrI^VTu?}bh>oloJpj+g0#btc(f_Kj$CY81Fd+}oUy+m+0#S{$5Gq;|O9 zJ!(h!)a3i`f$o%Sg~GA0uBh?joOcuMO#Q~EIEQPrcpZdZVfzd@Umm3lNd1Am=*cFJn3d@U&A;v7i>lwo&P~Gg4A{RkO*oJ@egX9e>Mo zF5mxGYUqC>+mN(QJ6}*rYhL0yvPWmq4k%YG?`|=TtwDqU*?lEdeo8KO>cm0Z^rYya zZx-E>9p8fer5|4klI)%B#?gguF7K93Y@<#YjHYijM`9+P8oRtPSrTll!t|kWE%xT5 zrKMd})5H*N$>~=vo`bYSo@k(5tF#bGSn5-M?z*^%t-I?HX1+EhnIKK484|4*+Nvce8(S@ymHkUrO>e3WX9HL z5%5N7Ui1fkxq~eo?ww5~z&ik6u?mnAWEm{zfw;yN!N0J^hG@ zn(CkTNiX6^r&jj5griC}ncfdP+{qjgqAEEl}|)4a7%II$D};g3ca$-Uqhk=;KGY0jWc0 zQgr*U6p1|X=~-E6m*gk@B|KX)0ULclK!Aj-FebII#1dkx073VwL{h%sE52#@J|tQR zUtPqLNV$!r^6o7wDBML&iEHR{PvPs@*E)*pUu`h*S)Sa4&D_|4-)5?XsJ z%Kdv)Lfw*3-+w1)@hYVhH^l=f-f*nbGz2n=t6PJW1q&JkM~uTq(vsFcfchMYN9V!a z%8F1bmV+x(;OgxuA`^uLH&T*6y#jq4&uCx>u$>YO8vDm03%8HU9PJy5OtSDN@ML;8bufbz@qr?UIT5_{E_%B5KckPhwskq&;t_ z%IQO;sL+(HYvy?&D6kW>bxM?4x--xI(%E!3%E#!SIeB=8vBkN3pQhr2&JwT%4j9l7 zdKFnf)$4RK-=tuIG@X9%b!zfgc7vbVHv*;2>?Ur(H6np$NK4=B8H4Lq=C(LX3Qb`2 zDBb@ls>(0sC+0GSA0p(3Ru_^LFJByc zt-Jx)C@P(4Y`WCizCY$q<9T(hiw#-{DMw`qI>0H`5_@a26t;>x1Dh0K5X8qD0vs_v zJ9(Wd5>SX_Gq!HJ=Z{4$@3ZSPfoZhi6LKbw@XN|X`K<*GjR)I;JtC7ms>bdTJ%8vH zZputlj;`N39{N1eUIH!f=OcvA$0~oEDM3#3+h?`4d%NsmFtJGoG$;7N9`SJ?#n}Jy z8Ez;>4Z3s_Om@Nvs_}-vgicD-^=-hUBm(^XHL^wwx~RP?KiLdRV=j{UxV5$|*w;6c zYXpNWCe0uww!pCJp6UZFFj%H0WXAs9)W6~G^=%w7eu^>nFpfn-5nF9U;RNlmRXRRb zhOMe+ZqtY|F8KX)S3pelP(i`TZBze)N%?wkiswxMEcesu|D~D0%e7@hg*?YG)y%sh z{PN`@ZgK6tO6gQ3$49}B;#gBSb=A^-zOCpq(<6sk}X^0AW-x`H}qs_@1@=< zTv%5_%<@jIaA3Z)tRK&3Qt7?HHL{}DX42jS+{jInmfhUK8}MlHb@QlUxlD>$c;#Ux z-hSGSM3gU7VkRYO2=RC>#ZX^=&qGekY8x;p3Ai8nf=^UP55{TBMs#XUGA_R#l)l7P z3rK_V`Lf!Usd;ozMYDSik6mE0EIBG<-8|!lHT>$yAs1LI!6?4@AAg>*J&d9 zyrj=`sxwy{33;FFQ7xMcCXzM9!1z!!(q!ggGlVsLyS$8%N@9O46~)?BV<>{rM3M|Aa32DvP1 zhEz+oOEiGzBL^icRu7It63O_)nxs)X6mI%=wbosn`{U!|I#ol<@$)=fo!-D3;mx6c z;9nyLX0zb3M|4bs0d_HnZzG%QFm*2!chaJTvEb9GHH+`l0?6#&*Y1j3u(}4b@2eb? zO+|27bQWf^CqmSZMTof0whQmxr=kYD@H26!J=?dpu@^Ffo0^(Vh5Wv}qoadL2b;et z@Ygjc*@Q=e^;9{l=LTYN7<_9Ig_Tx=Q39}70jp#xkoGk7!0ug9*5r_DfTrnOh0O z#ZfBV-VpZ=#5SgoA!{J;Ei^ipvYZgIxda05Z2$d)taNBCb6lfiH5ihWunY-vZ3VRI z3i|vgTydqhG>A%fG-LS5Btipwl)TTV{uS# zDWgU^O>ie6>fKEf@_B0i<=0!ouxlTrfEB*wcF}6YBXLM{Qc{vNcB-%Bf(xw+&wlNL z5j0z22|tVt$V7ugfDrI>JBP0YM+-6>Q?`st4m`nnSQ8l zZXk$Gje1Ui*9G1}?*jB=IV5Z;3nGgF948{`K>UxfYkY_Mz$4_6BLmSvetz%3nH@kY z7W_ZXXYS$S*5w8nWODUT>?(hMf6&eV6yFa$)MXO8x=JpjQKaZQ6!}~(wlCD4)&->? zk~#3D$^GdZb3z`sBlImemRrTiPI5|@?kflIFQsFecXU-PGzU*fj=y>8L&G*2r|uCC zU8T~|H0J!XRpva&fj4Q+L`g?33FC#Htb@y^Z(9wBiz%`~`h1=O)$98RK0d zLb1^5O<7ejlQFpH54IQN#z0@cj}ev&ul^$JQq{~0hN2u0xR0o!D+2#bd?ZLnOq8^D zu$ue0(hIF;bt!64I$&jK$?}p4X+(ld*ahLBmdE2sgj`Pa77oW�YD(DdTF{)!dUZ z=v2B+jre&#`I;)Y)rLK@FOB#FJ|2k%gbT4$w^!xj?CTphZXnSp`D`k2`YJp;%JyW4 z2Z|utIq_vi? zqCuF^Ln`nwUeuE(hF6ASL^TQ-m2T{q62(Oh?w+aFsj+W6_dr_GP`7 zDkninQ0dR(bOysaj#>4GcL<1!nnZEkXaXYIE`G(Yht~jxx9SV2BirD;&^mz1uIu=S z6^r*QT6T_VQN;E3wzGE{;KW56KCboc+qciiYqj5YI3sLC@Z#cP2y^lpxT49TRexA( z*#WI<`k|m0C;BuEqM=Canonicalization · QuantumClifford.jl
GitHub

Canonicalization operations

Different types of canonicalization operations are implemented. All of them are types of Gaussian elimination.

canonicalize!

First do elimination on all X components and only then perform elimination on the Z components. Based on (Garcia et al., 2012). It is used in logdot for inner products of stabilizer states.

The final tableaux, if square should look like the following

If the tableaux is shorter than a square, the diagonals might not reach all the way to the right.

using QuantumClifford, CairoMakie
 f=Figure()
 stabilizerplot_axis(f[1,1], canonicalize!(random_stabilizer(20,30)))
-f
Example block output

canonicalize_rref!

Cycle between elimination on X and Z for each qubit. Particularly useful for tracing out qubits. Based on (Audenaert and Plenio, 2005). For convenience reasons, the canonicalization starts from the bottom row, and you can specify as a second argument which columns to be canonicalized (useful for tracing out arbitrary qubits, e.g., in traceout!).

The tableau canonicalization is done in recursive steps, each one of which results in something akin to one of these three options 

using QuantumClifford, CairoMakie
+f
Example block output

canonicalize_rref!

Cycle between elimination on X and Z for each qubit. Particularly useful for tracing out qubits. Based on (Audenaert and Plenio, 2005). For convenience reasons, the canonicalization starts from the bottom row, and you can specify as a second argument which columns to be canonicalized (useful for tracing out arbitrary qubits, e.g., in traceout!).

The tableau canonicalization is done in recursive steps, each one of which results in something akin to one of these three options 

using QuantumClifford, CairoMakie
 f=Figure()
 stabilizerplot_axis(f[1,1], canonicalize_rref!(random_stabilizer(20,30),1:30)[1])
-f
Example block output

canonicalize_gott!

First do elimination on all X components and only then perform elimination on the Z components, but without touching the qubits that were eliminated during the X pass. Unlike other canonicalization operations, qubit columns are reordered, providing for a straight diagonal in each block. Particularly useful as certain blocks of the new created matrix are related to logical operations of the corresponding code, e.g. computing the logical X and Z operators of a MixedDestabilizer. Based on (Gottesman, 1997).

A canonicalized tableau would look like the following (the right-most block does not exist for square tableaux). 

using QuantumClifford, CairoMakie
+f
Example block output

canonicalize_gott!

First do elimination on all X components and only then perform elimination on the Z components, but without touching the qubits that were eliminated during the X pass. Unlike other canonicalization operations, qubit columns are reordered, providing for a straight diagonal in each block. Particularly useful as certain blocks of the new created matrix are related to logical operations of the corresponding code, e.g. computing the logical X and Z operators of a MixedDestabilizer. Based on (Gottesman, 1997).

A canonicalized tableau would look like the following (the right-most block does not exist for square tableaux). 

using QuantumClifford, CairoMakie
 f=Figure()
 stabilizerplot_axis(f[1,1], canonicalize_gott!(random_stabilizer(30))[1])
-f
Example block output

canonicalize_clip!

Convert to the "clipped" gauge of a stabilizer state resulting in a "river" of non-identity operators around the diagonal.

using QuantumClifford, CairoMakie
+f
Example block output

canonicalize_clip!

Convert to the "clipped" gauge of a stabilizer state resulting in a "river" of non-identity operators around the diagonal.

using QuantumClifford, CairoMakie
 f=Figure()
 stabilizerplot_axis(f[1,1], canonicalize_clip!(random_stabilizer(30)))
-f
Example block output

The properties of the clipped gauge are:

  1. Each qubit is the left/right "endpoint" of exactly two stabilizer rows.
  2. For the same qubit the two endpoints are always different Pauli operators.

This canonicalization is used to derive the bigram a stabilizer state, which is also related to entanglement entropy in the state.

Introduced in (Nahum et al., 2017), with a more detailed explanation of the algorithm in Appendix A of (Li et al., 2019).

+fExample block output

The properties of the clipped gauge are:

  1. Each qubit is the left/right "endpoint" of exactly two stabilizer rows.
  2. For the same qubit the two endpoints are always different Pauli operators.

This canonicalization is used to derive the bigram a stabilizer state, which is also related to entanglement entropy in the state.

Introduced in (Nahum et al., 2017), with a more detailed explanation of the algorithm in Appendix A of (Li et al., 2019).

diff --git a/dev/commonstates/index.html b/dev/commonstates/index.html index e8a41d069..922b58fd5 100644 --- a/dev/commonstates/index.html +++ b/dev/commonstates/index.html @@ -72,4 +72,4 @@ + XXXX + ZZ__ + _ZZ_ -+ __ZZ ++ __ZZ diff --git a/dev/datastructures/index.html b/dev/datastructures/index.html index cfd0d81aa..384d7e474 100644 --- a/dev/datastructures/index.html +++ b/dev/datastructures/index.html @@ -1,2 +1,2 @@ -Datastructure Choice · QuantumClifford.jl
GitHub

Data Structures Options

Choosing Appropriate Tableau Data Structure

There are four different data structures used to represent stabilizer states. If you will never need projective measurements you probably would want to use Stabilizer. If you require projective measurements, but only on pure states, Destabilizer should be the appropriate data structure. If mixed stabilizer states are involved, MixedStabilizer would be necessary.

Stabilizer is simply a list of Pauli operators in a tableau form. As a data structure it does not enforce the requirements for a pure stabilizer state (the rows of the tableau do not necessarily commute, nor are they forced to be Hermitian; the tableau might be underdetermined, redundant, or contradictory). It is up to the user to ensure that the initial values in the tableau are meaningful and consistent.

canonicalize!, project!, and generate! can accept an under determined (mixed state) Stabilizer instance and operate correctly. canonicalize! can also accept a redundant Stabilizer (i.e. not all rows are independent), leaving as many identity rows at the bottom of the canonicalized tableau as the number of redundant stabilizers in the initial tableau.

canonicalize! takes $\mathcal{O}(n^3)$ steps. generate! expects a canonicalized input and then takes $\mathcal{O}(n^2)$ steps. project! takes $\mathcal{O}(n^3)$ for projecting on commuting operators due to the need to call canonicalize! and generate!. If the projections is on an anticommuting operator (or if keep_result=false) then it takes $\mathcal{O}(n^2)$ steps.

MixedStabilizer provides explicit tracking of the rank of the mixed state and works properly when the projection is on a commuting operator not in the stabilizer (see table below for details). Otherwise it has the same performance as Stabilizer.

The canonicalization can be made unnecessary if we track the destabilizer generators. There are two data structures capable of that.

Destabilizer stores both the destabilizer and stabilizer states. project! called on it never requires a stabilizer canonicalization, hence it runs in $\mathcal{O}(n^2)$. However, project! will raise an exception if you try to project on a commuting state that is not in the stabilizer as that would be an expensive $\mathcal{O}(n^3)$ operation.

MixedDestabilizer tracks both the destabilizer operators and the logical operators in addition to the stabilizer generators. It does not require canonicalization for measurements and its project! operations always takes $\mathcal{O}(n^2)$.

For the operation _, anticom_index, result = project!(...) we have the following behavior:

projectionStabilizerMixedStabilizerDestabilizerMixedDestabilizer
on anticommuting operator anticom_index>0 result===nothingcorrect result in $\mathcal{O}(n^2)$ stepssame as Stabilizersame as Stabilizersame as Stabilizer
on commuting operator in the stabilizer anticom_index==0 result!==nothing$\mathcal{O}(n^3)$; or $\mathcal{O}(n^2)$ if keep_result=false$\mathcal{O}(n^3)$$\mathcal{O}(n^2)$ if the state is pure, throws exception otherwise$\mathcal{O}(n^2)$
on commuting operator out of the stabilizer[1] anticom_index==rank result===nothing$\mathcal{O}(n^3)$, but the user needs to manually include the new operator to the stabilizer; or $\mathcal{O}(n^2)$ if keep_result=false but then result indistinguishable from cell above and anticom_index==0$\mathcal{O}(n^3)$ and rank goes up by onenot applicable if the state is pure, throws exception otherwise$\mathcal{O}(n^2)$ and rank goes up by one

Notice the results when the projection operator commutes with the state but is not generated by the stabilizers of the state (the last row of the table). In that case we have _, anticom_index, result = project!(...) where both anticom_index==rank and result===nothing, with rank being the new rank after projection, one more than the number of rows in the tableau before the measurement.

Bit Packing in Integers and Array Order

We do not use boolean arrays to store information about the qubits as this would be wasteful (7 out of 8 bits in the boolean would be unused). Instead, we use all 8 qubits in a byte and perform bitwise logical operations as necessary. Implementation details of the object in RAM can matter for performance. The library permits any of the standard UInt types to be used for packing the bits, and larger UInt types (like UInt64) are usually faster as they permit working on 64 qubits at a time (instead of 1 if we used a boolean, or 8 if we used a byte).

Moreover, how a tableau is stored in memory can affect performance, as a row-major storage usually permits more efficient use of the CPU cache (for the particular algorithms we use).

Both of these parameters are benchmarked (testing the application of a Pauli operator, which is an $\mathcal{O}(n^2)$ operation; and testing the canonicalization of a Stabilizer, which is an $\mathcal{O}(n^3)$ operation). Row-major UInt64 is the best performing and it is used by default in this library.

  • 1This can occur only if the state being projected is mixed. Both Stabilizer and Destabilizer can be used for mixed states by simply providing fewer stabilizer generators than qubits at initialization. This can be useful for low-level code that tries to avoid the extra memory cost of using MixedStabilizer and MixedDestabilizer but should be avoided otherwise. project! works correctly or raises an explicit warning on all 4 data structures.
+Datastructure Choice · QuantumClifford.jl
GitHub

Data Structures Options

Choosing Appropriate Tableau Data Structure

There are four different data structures used to represent stabilizer states. If you will never need projective measurements you probably would want to use Stabilizer. If you require projective measurements, but only on pure states, Destabilizer should be the appropriate data structure. If mixed stabilizer states are involved, MixedStabilizer would be necessary.

Stabilizer is simply a list of Pauli operators in a tableau form. As a data structure it does not enforce the requirements for a pure stabilizer state (the rows of the tableau do not necessarily commute, nor are they forced to be Hermitian; the tableau might be underdetermined, redundant, or contradictory). It is up to the user to ensure that the initial values in the tableau are meaningful and consistent.

canonicalize!, project!, and generate! can accept an under determined (mixed state) Stabilizer instance and operate correctly. canonicalize! can also accept a redundant Stabilizer (i.e. not all rows are independent), leaving as many identity rows at the bottom of the canonicalized tableau as the number of redundant stabilizers in the initial tableau.

canonicalize! takes $\mathcal{O}(n^3)$ steps. generate! expects a canonicalized input and then takes $\mathcal{O}(n^2)$ steps. project! takes $\mathcal{O}(n^3)$ for projecting on commuting operators due to the need to call canonicalize! and generate!. If the projections is on an anticommuting operator (or if keep_result=false) then it takes $\mathcal{O}(n^2)$ steps.

MixedStabilizer provides explicit tracking of the rank of the mixed state and works properly when the projection is on a commuting operator not in the stabilizer (see table below for details). Otherwise it has the same performance as Stabilizer.

The canonicalization can be made unnecessary if we track the destabilizer generators. There are two data structures capable of that.

Destabilizer stores both the destabilizer and stabilizer states. project! called on it never requires a stabilizer canonicalization, hence it runs in $\mathcal{O}(n^2)$. However, project! will raise an exception if you try to project on a commuting state that is not in the stabilizer as that would be an expensive $\mathcal{O}(n^3)$ operation.

MixedDestabilizer tracks both the destabilizer operators and the logical operators in addition to the stabilizer generators. It does not require canonicalization for measurements and its project! operations always takes $\mathcal{O}(n^2)$.

For the operation _, anticom_index, result = project!(...) we have the following behavior:

projectionStabilizerMixedStabilizerDestabilizerMixedDestabilizer
on anticommuting operator anticom_index>0 result===nothingcorrect result in $\mathcal{O}(n^2)$ stepssame as Stabilizersame as Stabilizersame as Stabilizer
on commuting operator in the stabilizer anticom_index==0 result!==nothing$\mathcal{O}(n^3)$; or $\mathcal{O}(n^2)$ if keep_result=false$\mathcal{O}(n^3)$$\mathcal{O}(n^2)$ if the state is pure, throws exception otherwise$\mathcal{O}(n^2)$
on commuting operator out of the stabilizer[1] anticom_index==rank result===nothing$\mathcal{O}(n^3)$, but the user needs to manually include the new operator to the stabilizer; or $\mathcal{O}(n^2)$ if keep_result=false but then result indistinguishable from cell above and anticom_index==0$\mathcal{O}(n^3)$ and rank goes up by onenot applicable if the state is pure, throws exception otherwise$\mathcal{O}(n^2)$ and rank goes up by one

Notice the results when the projection operator commutes with the state but is not generated by the stabilizers of the state (the last row of the table). In that case we have _, anticom_index, result = project!(...) where both anticom_index==rank and result===nothing, with rank being the new rank after projection, one more than the number of rows in the tableau before the measurement.

Bit Packing in Integers and Array Order

We do not use boolean arrays to store information about the qubits as this would be wasteful (7 out of 8 bits in the boolean would be unused). Instead, we use all 8 qubits in a byte and perform bitwise logical operations as necessary. Implementation details of the object in RAM can matter for performance. The library permits any of the standard UInt types to be used for packing the bits, and larger UInt types (like UInt64) are usually faster as they permit working on 64 qubits at a time (instead of 1 if we used a boolean, or 8 if we used a byte).

Moreover, how a tableau is stored in memory can affect performance, as a row-major storage usually permits more efficient use of the CPU cache (for the particular algorithms we use).

Both of these parameters are benchmarked (testing the application of a Pauli operator, which is an $\mathcal{O}(n^2)$ operation; and testing the canonicalization of a Stabilizer, which is an $\mathcal{O}(n^3)$ operation). Row-major UInt64 is the best performing and it is used by default in this library.

  • 1This can occur only if the state being projected is mixed. Both Stabilizer and Destabilizer can be used for mixed states by simply providing fewer stabilizer generators than qubits at initialization. This can be useful for low-level code that tries to avoid the extra memory cost of using MixedStabilizer and MixedDestabilizer but should be avoided otherwise. project! works correctly or raises an explicit warning on all 4 data structures.
diff --git a/dev/ecc_example_sim/index.html b/dev/ecc_example_sim/index.html index 51ccf1df9..e35126ed3 100644 --- a/dev/ecc_example_sim/index.html +++ b/dev/ecc_example_sim/index.html @@ -20,7 +20,7 @@ errors = [PauliError(i,errprob) for i in 1:code_n(code)] fullcircuit = [ecirc..., errors..., scirc...]Example block output

And running this noisy simulation:

frames = pftrajectories(fullcircuit; trajectories=nframes)
 pfmeasurements(frames)
4×6 Matrix{Bool}:
- 1  1  0  1  1  0
  0  0  0  0  0  0
- 0  0  0  0  0  0
- 1  0  1  0  0  0
+ 0 0 1 0 0 0 + 0 0 1 0 0 1 + 0 0 0 0 0 0 diff --git a/dev/graphs/index.html b/dev/graphs/index.html index f46ceecc2..c99d9eca0 100644 --- a/dev/graphs/index.html +++ b/dev/graphs/index.html @@ -43,4 +43,4 @@ + XZZ_ + ZX_Z + Z_XZ -+ _ZZX

Graphs are represented with the Graphs.jl package and plotting can be done both in Plots.jl and Makie.jl (with GraphMakie).

++ _ZZX

Graphs are represented with the Graphs.jl package and plotting can be done both in Plots.jl and Makie.jl (with GraphMakie).

diff --git a/dev/index.html b/dev/index.html index 3cf1ffc43..9902d2c93 100644 --- a/dev/index.html +++ b/dev/index.html @@ -15,4 +15,4 @@ julia> tCNOT * S"-XX +ZZ" - X_ -+ _Z

Circuit Simulation

The circuit simulation component of QuantumClifford.jl enables Monte Carlo (or symbolic) simulations of noisy Clifford circuits. It provides three main simulation methods: mctrajectories, pftrajectories, and petrajectories. These methods offer varying levels of efficiency, accuracy, and insight.

Monte Carlo Simulations with Stabilizer Tableaux (mctrajectories)

The mctrajectories method runs Monte Carlo simulations using a Stabilizer tableau representation for the quantum states.

Monte Carlo Simulations with Pauli Frames (pftrajectories)

The pftrajectories method runs Monte Carlo simulations of Pauli frames over a single reference Stabilizer tableau simulation. This approach is much more efficient but supports a smaller class of circuits.

Symbolic Depth-First Traversal of Quantum Trajectories (petrajectories)

The petrajectories method performs a depth-first traversal of the most probable quantum trajectories, providing a fixed-order approximation of the circuit's behavior. This approach gives symbolic expressions for various figures of merit instead of just a numeric value.

++ _Z

Circuit Simulation

The circuit simulation component of QuantumClifford.jl enables Monte Carlo (or symbolic) simulations of noisy Clifford circuits. It provides three main simulation methods: mctrajectories, pftrajectories, and petrajectories. These methods offer varying levels of efficiency, accuracy, and insight.

Monte Carlo Simulations with Stabilizer Tableaux (mctrajectories)

The mctrajectories method runs Monte Carlo simulations using a Stabilizer tableau representation for the quantum states.

Monte Carlo Simulations with Pauli Frames (pftrajectories)

The pftrajectories method runs Monte Carlo simulations of Pauli frames over a single reference Stabilizer tableau simulation. This approach is much more efficient but supports a smaller class of circuits.

Symbolic Depth-First Traversal of Quantum Trajectories (petrajectories)

The petrajectories method performs a depth-first traversal of the most probable quantum trajectories, providing a fixed-order approximation of the circuit's behavior. This approach gives symbolic expressions for various figures of merit instead of just a numeric value.

diff --git a/dev/mixed/index.html b/dev/mixed/index.html index c1820f03b..958944c37 100644 --- a/dev/mixed/index.html +++ b/dev/mixed/index.html @@ -57,4 +57,4 @@ + XXX + ZZ_ 𝒵ₗ━━━ -+ Z_Z

Destabilizer and MixedStabilizer do not use any column swaps on instantiation as they do not track the logical operators.

++ Z_Z

Destabilizer and MixedStabilizer do not use any column swaps on instantiation as they do not track the logical operators.

diff --git a/dev/noise/index.html b/dev/noise/index.html index eb0595c4f..6201751bb 100644 --- a/dev/noise/index.html +++ b/dev/noise/index.html @@ -1,2 +1,2 @@ -Noise Processes · QuantumClifford.jl
GitHub
+Noise Processes · QuantumClifford.jl
GitHub
diff --git a/dev/noisycircuits/index.html b/dev/noisycircuits/index.html index be48244da..c7cc50347 100644 --- a/dev/noisycircuits/index.html +++ b/dev/noisycircuits/index.html @@ -1,2 +1,2 @@ -Simulation of Noisy Circuits · QuantumClifford.jl
GitHub

Simulation of Noisy Clifford Circuits

Unstable

This is unfinished experimental functionality that will change significantly.

We have experimental support for simulation of noisy Clifford circuits which can be imported with using QuantumClifford.Experimental.NoisyCircuits.

Both Monte Carlo and Perturbative Expansion approaches are supported. When performing a perturbative expansion in the noise parameter, the expansion can optionally be performed symbolically, to arbitrary high orders.

Multiple notebooks with examples are also available. For instance, see this tutorial on entanglement purification for many examples.

+Simulation of Noisy Circuits · QuantumClifford.jl
GitHub

Simulation of Noisy Clifford Circuits

Unstable

This is unfinished experimental functionality that will change significantly.

We have experimental support for simulation of noisy Clifford circuits which can be imported with using QuantumClifford.Experimental.NoisyCircuits.

Both Monte Carlo and Perturbative Expansion approaches are supported. When performing a perturbative expansion in the noise parameter, the expansion can optionally be performed symbolically, to arbitrary high orders.

Multiple notebooks with examples are also available. For instance, see this tutorial on entanglement purification for many examples.

diff --git a/dev/noisycircuits_API/index.html b/dev/noisycircuits_API/index.html index 654579f0f..0537a5031 100644 --- a/dev/noisycircuits_API/index.html +++ b/dev/noisycircuits_API/index.html @@ -1,2 +1,2 @@ -API · QuantumClifford.jl
GitHub

Full API (autogenerated)

Unstable

This is experimental functionality with an unstable API.

+API · QuantumClifford.jl
GitHub

Full API (autogenerated)

Unstable

This is experimental functionality with an unstable API.

diff --git a/dev/noisycircuits_mc/index.html b/dev/noisycircuits_mc/index.html index f3cc11784..242ebfcf9 100644 --- a/dev/noisycircuits_mc/index.html +++ b/dev/noisycircuits_mc/index.html @@ -15,7 +15,7 @@ # then a Bell measurement # followed by checking whether the final result indeed corresponds to the correct Bell pair. circuit = [n,g1,g2,m,v]Example block output

And we can run a Monte Carlo simulation of that circuit with mctrajectories.

mctrajectories(initial_state, circuit, trajectories=500)
Dict{CircuitStatus, Float64} with 4 entries:
-  false_success:CircuitStatus(2) => 9.0
+  failure:CircuitStatus(3)       => 4.0
   true_success:CircuitStatus(1)  => 487.0
   continue:CircuitStatus(0)      => 0.0
-  failure:CircuitStatus(3)       => 4.0

For more examples, see the notebook comparing the Monte Carlo and Perturbative method or this tutorial on entanglement purification for many examples.

Interface for custom operations

If you want to create a custom gate type (e.g. calling it Operation), you need to definite the following methods.

applywstatus!(s::T, g::Operation)::Tuple{T,Symbol} where T is a tableaux type like Stabilizer or a Register. The Symbol is the status of the operation. Predefined statuses are kept in the registered_statuses list, but you can add more. Be sure to expand this list if you want the trajectory simulators using your custom statuses to output all trajectories.

There is also applynoise! which is convenient wait to create a noise model that can then be plugged into the NoisyGate struct, letting you reuse the predefined perfect gates and measurements. However, you can also just make up your own noise operator simply by implementing applywstatus! for it.

You can also consult the list of implemented operators.

+ false_success:CircuitStatus(2) => 9.0

For more examples, see the notebook comparing the Monte Carlo and Perturbative method or this tutorial on entanglement purification for many examples.

Interface for custom operations

If you want to create a custom gate type (e.g. calling it Operation), you need to definite the following methods.

applywstatus!(s::T, g::Operation)::Tuple{T,Symbol} where T is a tableaux type like Stabilizer or a Register. The Symbol is the status of the operation. Predefined statuses are kept in the registered_statuses list, but you can add more. Be sure to expand this list if you want the trajectory simulators using your custom statuses to output all trajectories.

There is also applynoise! which is convenient wait to create a noise model that can then be plugged into the NoisyGate struct, letting you reuse the predefined perfect gates and measurements. However, you can also just make up your own noise operator simply by implementing applywstatus! for it.

You can also consult the list of implemented operators.

diff --git a/dev/noisycircuits_ops/index.html b/dev/noisycircuits_ops/index.html index 55f823376..adf911f51 100644 --- a/dev/noisycircuits_ops/index.html +++ b/dev/noisycircuits_ops/index.html @@ -10,4 +10,4 @@ gate3 = SparseGate(tSWAP, [1,3]) cg = ConditionalGate(gate1, gate2, 2) dg = DecisionGate([gate1,gate2,gate3], bit_register->1) # it will always perform gate1 -[sMX(4,1), sMZ(5,2), cg, dg]Example block output

TODO: Split ConditionalGate into quantum conditional and classical conditional

+[sMX(4,1), sMZ(5,2), cg, dg]Example block output

TODO: Split ConditionalGate into quantum conditional and classical conditional

diff --git a/dev/noisycircuits_perturb/index.html b/dev/noisycircuits_perturb/index.html index 8174f35c1..cd34862af 100644 --- a/dev/noisycircuits_perturb/index.html +++ b/dev/noisycircuits_perturb/index.html @@ -18,6 +18,6 @@ circuit = [n,g1,g2,m,v] petrajectories(initial_state, circuit)
Dict{CircuitStatus, Float64} with 3 entries:
-  false_success:CircuitStatus(2) => 0.019406
+  failure:CircuitStatus(3)       => 0.0129373
   true_success:CircuitStatus(1)  => 0.967065
-  failure:CircuitStatus(3)       => 0.0129373

For more examples, see the notebook comparing the Monte Carlo and Perturbative method or this tutorial on entanglement purification.

Symbolic expansions

The perturbative expansion method works with symbolic variables as well. One can use any of the symbolic libraries available in Julia and simply plug symbolic parameters in lieu of numeric parameters. A detailed example is available as a Jupyter notebook.

Interface for custom operations

If you want to create a custom gate type (e.g. calling it Operation), you need to definite the following methods.

applyop_branches!(s::T, g::Operation; max_order=1)::Vector{Tuple{T,Symbol,Real,Int}} where T is a tableaux type like Stabilizer or a Register. The Symbol is the status of the operation, the Real is the probability for that branch, and the Int is the order of that branch.

There is also applynoise_branches! which is convenient for use in NoisyGate, but you can also just make up your own noise operator simply by implementing applyop_branches! for it.

You can also consult the list of implemented operators.

+ false_success:CircuitStatus(2) => 0.019406

For more examples, see the notebook comparing the Monte Carlo and Perturbative method or this tutorial on entanglement purification.

Symbolic expansions

The perturbative expansion method works with symbolic variables as well. One can use any of the symbolic libraries available in Julia and simply plug symbolic parameters in lieu of numeric parameters. A detailed example is available as a Jupyter notebook.

Interface for custom operations

If you want to create a custom gate type (e.g. calling it Operation), you need to definite the following methods.

applyop_branches!(s::T, g::Operation; max_order=1)::Vector{Tuple{T,Symbol,Real,Int}} where T is a tableaux type like Stabilizer or a Register. The Symbol is the status of the operation, the Real is the probability for that branch, and the Int is the order of that branch.

There is also applynoise_branches! which is convenient for use in NoisyGate, but you can also just make up your own noise operator simply by implementing applyop_branches! for it.

You can also consult the list of implemented operators.

diff --git a/dev/plotting/02df6a53.svg b/dev/plotting/025bf3ba.svg similarity index 98% rename from dev/plotting/02df6a53.svg rename to dev/plotting/025bf3ba.svg index 4e6e9adba..978156c9f 100644 --- a/dev/plotting/02df6a53.svg +++ b/dev/plotting/025bf3ba.svg @@ -1,23 +1,23 @@ - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + - + Visualizations · QuantumClifford.jl
GitHub

Visualizations

Stabilizers have a plot recipe that can be used with Plots.jl or Makie.jl. It simply displays the corresponding parity check matrix (extracted with stab_to_gf2) as a bitmap image. Circuits can be visualized with Quantikz.jl.

Importing the aforementioned packages together with QuantumClifford is necessary to enable the plotting functionality (implemented as package extensions).

Plots.jl

In Plots.jl we have a simple recipe plot(s::Stabilizer; xzcomponents=...) where xzcomponents=:split plots the tableau heatmap in a wide form, X bits on the left, Z bits on the right; or xzcomponents=:together plots them overlapping, with different colors for I, X, Z, and Y.

using QuantumClifford, Plots
-plot(random_stabilizer(20,30), xzcomponents=:split)
Example block output
using QuantumClifford, Plots
-plot(canonicalize!(random_stabilizer(20,30)))
Example block output
using QuantumClifford, Plots
-plot(canonicalize_gott!(random_stabilizer(30))[1], xzcomponents=:split)
Example block output
using QuantumClifford, Plots
-plot(canonicalize_gott!(random_stabilizer(30))[1]; xzcomponents=:together)
Example block output
using QuantumClifford, Plots
-plot(canonicalize_rref!(random_stabilizer(20,30),1:30)[1]; xzcomponents=:together)
Example block output

Makie.jl

Makie's heatmap can be directly called on Stabilizer.

using QuantumClifford, CairoMakie
+plot(random_stabilizer(20,30), xzcomponents=:split)
Example block output
using QuantumClifford, Plots
+plot(canonicalize!(random_stabilizer(20,30)))
Example block output
using QuantumClifford, Plots
+plot(canonicalize_gott!(random_stabilizer(30))[1], xzcomponents=:split)
Example block output
using QuantumClifford, Plots
+plot(canonicalize_gott!(random_stabilizer(30))[1]; xzcomponents=:together)
Example block output
using QuantumClifford, Plots
+plot(canonicalize_rref!(random_stabilizer(20,30),1:30)[1]; xzcomponents=:together)
Example block output

Makie.jl

Makie's heatmap can be directly called on Stabilizer.

using QuantumClifford, CairoMakie
 s = S"IIXZ
       ZZIZ
       YYIZ
@@ -47,4 +47,4 @@
 f=Figure()
 stabilizerplot_axis(f[1,1],random_stabilizer(100))
 f
Example block output

Quantikz.jl

With the Quantikz library you can visualize gates or sequences of gates.

using QuantumClifford, Quantikz
-circuit = [sCNOT(1,2), SparseGate(random_clifford(4), [1,4,5,6]), sMZ(4)]
Example block output
+circuit = [sCNOT(1,2), SparseGate(random_clifford(4), [1,4,5,6]), sMZ(4)]Example block output diff --git a/dev/references/index.html b/dev/references/index.html index aa38f53e5..092b94d38 100644 --- a/dev/references/index.html +++ b/dev/references/index.html @@ -1,2 +1,2 @@ -Suggested Readings & References · QuantumClifford.jl
GitHub

Suggested reading

For the basis of the tableaux methods first read (Gottesman, 1998) followed by the more efficient approach described in (Aaronson and Gottesman, 2004).

The tableaux can be canonicalized (i.e. Gaussian elimination can be performed on them) in a number of different ways, and considering the different approaches provides useful insight. The following methods are implemented in this library:

For the use of these methods in error correction and the subtle overlap between the two fields consider these resources. They are also useful in defining some of the specific constraints in commutation between rows in the tableaux:

These publications describe the uniform sampling of random stabilizer states:

For circuit construction routines (for stabilizer measurements for a given code):

For quantum code construction routines:

For classical code construction routines:

References

+Suggested Readings & References · QuantumClifford.jl
GitHub

Suggested reading

For the basis of the tableaux methods first read (Gottesman, 1998) followed by the more efficient approach described in (Aaronson and Gottesman, 2004).

The tableaux can be canonicalized (i.e. Gaussian elimination can be performed on them) in a number of different ways, and considering the different approaches provides useful insight. The following methods are implemented in this library:

For the use of these methods in error correction and the subtle overlap between the two fields consider these resources. They are also useful in defining some of the specific constraints in commutation between rows in the tableaux:

These publications describe the uniform sampling of random stabilizer states:

For circuit construction routines (for stabilizer measurements for a given code):

For quantum code construction routines:

For classical code construction routines:

References

diff --git a/dev/stab-algebra-manual/index.html b/dev/stab-algebra-manual/index.html index 343e01288..5660ffba1 100644 --- a/dev/stab-algebra-manual/index.html +++ b/dev/stab-algebra-manual/index.html @@ -293,4 +293,4 @@ 𝒮𝓉𝒶𝒷━ + _ZX - _Z_ -- Z_X

Mixed States

Both the Stabilizer and Destabilizer structures have more general forms that enable work with mixed stabilizer states. They are the MixedStabilizer and MixedDestabilizer structures, described in Mixed States. More information that can be seen in the data structures page, which expands upon the algorithms available for each structure.

Random States and Circuits

random_clifford, random_stabilizer, and enumerate_cliffords can be used for the generation of random states.

+- Z_X

Mixed States

Both the Stabilizer and Destabilizer structures have more general forms that enable work with mixed stabilizer states. They are the MixedStabilizer and MixedDestabilizer structures, described in Mixed States. More information that can be seen in the data structures page, which expands upon the algorithms available for each structure.

Random States and Circuits

random_clifford, random_stabilizer, and enumerate_cliffords can be used for the generation of random states.

diff --git a/dev/tutandpub/index.html b/dev/tutandpub/index.html index 93179e22b..0c6068e7a 100644 --- a/dev/tutandpub/index.html +++ b/dev/tutandpub/index.html @@ -1,2 +1,2 @@ -Tutorials and Publications · QuantumClifford.jl
GitHub

Tutorials and Publications

This list has a number of notebooks with tutorials, examples, and reproduction of published results (some of these results originally obtained with this very library).

On the topic of explicit use of the Tableaux formalism for Stabilizer states

On the Monte Carlo and Perturbative Expansions for Noisy Clifford circuits

+Tutorials and Publications · QuantumClifford.jl
GitHub

Tutorials and Publications

This list has a number of notebooks with tutorials, examples, and reproduction of published results (some of these results originally obtained with this very library).

On the topic of explicit use of the Tableaux formalism for Stabilizer states

On the Monte Carlo and Perturbative Expansions for Noisy Clifford circuits