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This function calculates the effect of changing the resources available to an ECC, i.e. of a new resources matrix R_prime on the rest of the ECC matrices (U, V, W, and Y). New versions of the U, V, W, and Y matrices are returned, and respectively called U_prime, V_prime, W_prime, and Y_prime. This function assumes that each industry's inputs are perfectly substitutable (ps).

Usage

new_R_ps(
  .sutmats = NULL,
  method = c("solve", "QR", "SVD"),
  tol = .Machine$double.eps,
  R_prime = "R_prime",
  U = "U",
  U_feed = "U_feed",
  V = "V",
  Y = "Y",
  q = "q",
  f = "f",
  G_pxp = "G_pxp",
  G_ixp = "G_ixp",
  O_s = "O_s",
  D_s = "D_s",
  D_feed_s = "D_feed_s",
  Z_s = "Z_s",
  U_prime = "U_prime",
  U_feed_prime = "U_feed_prime",
  U_eiou_prime = "U_EIOU_prime",
  r_eiou_prime = "r_EIOU_prime",
  V_prime = "V_prime",
  Y_prime = "Y_prime"
)

Arguments

.sutmats

a data frame of supply-use table matrices with matrices arranged in columns.

method

One of "solve", "QR", or "SVD". Default is "solve". See details.

tol

The tolerance for detecting linear dependencies during matrix inversion. Default is .Machine$double.eps.

R_prime

The name of the new R matrix column in the input data frame, for which the new ECC must be assessed. Default is "R_prime".

U

The name of the U matrix column in the input data frame. Default is "U".

U_feed

The name of the U_feed matrix column in the input data frame. Default is "U_feed".

V

The name of the V matrix column in the input data frame. Default is "V".

Y

The name of the Y matrix column in the input data frame. Default is "Y".

q

The name of the q vector column in the input data frame. Default is "q".

f

The name of the f vector column in the input data frame. Default is "f".

G_pxp

The name of the G_pxp matrix column in the input data frame. Default is "G_pxp".

G_ixp

The name of the G_ixp matrix column in the input data frame. Default is "G_ixp".

O_s

The name of the O_s matrix column in the input data frame. Default is "O_s", where "_s" indicates supply-sided.

D_s

The name of the D_s matrix column in the input data frame. Default is "D_s", where "_s" indicates supply-sided.

D_feed_s

The name of the D_feed_s matrix column in the input data frame. Default is "D_feed_s", where "_s" indicates supply-sided.

Z_s

The name of the Z_s matrix column in the input data frame. Default is "Z_s", where "_s" indicates supply-sided.

U_prime

The name of the output column containing the new U matrices. Default is "U_prime".

U_feed_prime

The name of the output column containing the new U_feed matrices. Default is "U_feed_prime".

U_eiou_prime

The name of the output column containing the new U_EIOU matrices. Default is "U_EIOU_prime".

r_eiou_prime

The name of the output column containing the new r_EIOU matrices. Default is "r_EIOU_prime".

V_prime

The name of the output column containing the new V matrices. Default is "V_prime".

Y_prime

The name of the output column containing the new Y matrices. Default is "Y_prime".

Value

A data frame with added columns representing each of the new U_prime, U_feed_prime, U_EIOU_prime, r_EIOU_prime, V_prime, and Y_prime matrices.

Details

Each industry must be unit-homogeneous on its inputs. If not, a matrix populated with NA is returned as the result for U_prime, V_prime, and Y_prime.

Calculating the new matrices requires a matrix inversion operation. The method argument specifies which method should be used for calculating the inverse. "solve" uses base::solve() and the value of tol. "QR" uses base::solve.qr() and the value of tol. "SVD" uses matrixcalc::svd.inverse(), ignoring the tol argument.

Both tol and method should be a single values and apply to all matrices in a.

Examples

UKEnergy2000mats %>%
  tidyr::spread(key = "matrix.name", value = "matrix") %>%
  # When Last.stage is "services", we get units problems.
  # Avoid by using only ECCs with "Final" and "Useful" as the Last.stage.
  dplyr::filter(Last.stage != IEATools::last_stages$services) %>%
  # Calculate the input-output matrices which are inputs to the new_R function.
  calc_io_mats(direction = "downstream") %>%
  # Make an R_prime matrix that gives twice the resource inputs to the economy.
  dplyr::mutate(
    R_prime = matsbyname::hadamardproduct_byname(2, R)
  ) %>%
  # Now call new_R_ps() which will calculate
  # updated U, V, and Y matrices (U_prime, V_prime, and Y_prime)
  # given R_prime.
  # Each of the *_prime matrices should be 2x their originals,
  # because R_prime is 2x relative to R.
  new_R_ps()
#>   Country Year Energy.type Last.stage                  R
#> 1     GBR 2000           E      Final 50000, 0, 0, 43000
#> 2     GBR 2000           E     Useful 50000, 0, 0, 43000
#>                                          S_units
#> 1             1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1
#> 2 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1
#>                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       U
#> 1                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     0, 500, 47500, 0, 25, 0, 25, 0, 0, 0, 0, 0, 0, 0, 0, 15500, 350, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6400, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 50, 0, 25, 43000, 0, 2000, 0, 0, 0, 0, 0, 0, 25, 0, 25, 0, 0, 41000, 0, 0, 50000, 0, 2500, 0, 50, 0, 25, 0, 0, 0, 0, 0, 0, 47000, 0, 5000, 0, 0, 75, 0, 0, 0, 0, 0, 0, 0, 0, 0, 250, 0, 0, 0, 0, 0, 26500, 500, 0, 0, 0, 0, 0, 0, 100, 0, 16000, 0, 0, 0
#> 2 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 26000.0000, 0.0000, 0.0000, 47500.0000, 0.0000, 0.0000, 0.0000, 25.0000, 20.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 15500.0000, 0.0000, 0.0000, 0.0000, 17.9998, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 6400.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 25000.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 50.0000, 0.0000, 25.0000, 0.0000, 43000.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 6000.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 25.0000, 20.0000, 0.0000, 0.0000, 41000.0000, 0.0000, 0.0000, 50000.0000, 0.0000, 0.0000, 0.0000, 50.0000, 0.0000, 25.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 47000.0000, 0.0000, 0.0000, 0.0000, 0.0000, 75.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 26.9997, 0.0000, 0.0000, 0.0000, 26500.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 100.0000, 0.0000, 0.0000, 16000.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 15050.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000
#>                                                                                                                                                                                                        U_EIOU
#> 1          500, 0, 0, 25, 25, 0, 0, 0, 0, 0, 350, 0, 0, 0, 0, 0, 0, 50, 25, 2000, 0, 0, 0, 0, 25, 25, 0, 0, 0, 2500, 0, 50, 25, 0, 0, 0, 0, 5000, 0, 75, 0, 0, 0, 0, 0, 250, 0, 0, 500, 0, 0, 0, 0, 100, 0, 0
#> 2 0.0000, 25.0000, 20.0000, 0.0000, 0.0000, 17.9998, 50.0000, 25.0000, 0.0000, 0.0000, 25.0000, 20.0000, 50.0000, 25.0000, 0.0000, 0.0000, 75.0000, 0.0000, 0.0000, 0.0000, 26.9997, 0.0000, 100.0000, 0.0000
#>                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 U_feed
#> 1                                                                                                                                                                                                                                                 0, 0, 47500, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15500, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6400, 0, 0, 0, 0, 0, 0, 0, 0, 0, 43000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 41000, 0, 50000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 47000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26500, 0, 0, 0, 0, 0, 0, 16000, 0, 0
#> 2 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26000, 0, 0, 47500, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15500, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6400, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 25000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 43000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 41000, 0, 0, 50000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 47000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26500, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16000, 0, 0, 0, 0, 0, 0, 0, 15050, 0, 0, 0, 0, 0, 0, 0
#>                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       V
#> 1                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    47500, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 50000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20500, 0, 0, 0, 15500, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6400, 0, 0, 6275, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 41000, 0, 0, 0, 0, 0, 0, 0, 43000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26500, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26500, 0
#> 2 0.00, 47000.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 47500.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 15500.00, 0.00, 0.00, 0.00, 0.00, 0.00, 15150.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 6400.00, 0.00, 0.00, 0.00, 0.00, 6275.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 1200.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 20000.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 3000.40, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 1799.98, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 41000.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 41000.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 26500.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 26000.00, 0.00, 0.00
#>                                                             Y
#> 1                       0, 6000, 25000, 0, 14750, 0, 0, 26000
#> 2 1200.00, 0.00, 3000.40, 0.00, 0.00, 20000.00, 0.00, 1714.98
#>                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      r_EIOU
#> 1                                                                                                                                                                                        0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0
#> 2 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
#>                                     y
#> 1           14750, 6000, 25000, 26000
#> 2 20000.00, 1200.00, 3000.40, 1714.98
#>                                                                                                                                                           q
#> 1                                                                          50000, 47500, 50000, 20500, 15500, 6400, 6275, 43000, 41000, 43000, 26500, 26500
#> 2 50000.00, 47000.00, 47500.00, 15500.00, 15150.00, 6400.00, 6275.00, 20000.00, 1200.00, 3000.40, 1799.98, 43000.00, 41000.00, 41000.00, 26500.00, 26000.00
#>                                                                                         f
#> 1                            48050, 15850, 6400, 45075, 41050, 52575, 52075, 27250, 16100
#> 2 26000, 47545, 15518, 6400, 25000, 43075, 6000, 41045, 50075, 47075, 26527, 16100, 15050
#>                                                                                                                             g
#> 1                                                                 47500, 15500, 6275, 43000, 41000, 50000, 47000, 26500, 6400
#> 2 3000.40, 47000.00, 15150.00, 6275.00, 20000.00, 41000.00, 1200.00, 41000.00, 47500.00, 42000.00, 26000.00, 6400.00, 1799.98
#>              h            r
#> 1 50000, 43000 50000, 43000
#> 2 50000, 43000 50000, 43000
#>                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           W
#> 1                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              0, 47000, -47500, 0, -25, 0, -25, 0, 0, 0, 0, 0, 0, 0, 0, -15500, 15150, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6400, 6275, 0, 0, 0, 0, 0, 0, 0, 0, 0, -50, 0, -25, -43000, 0, 41000, 0, 0, 0, 0, 0, 0, -25, 0, -25, 0, 41000, -41000, 0, 0, -50000, 0, 47500, 0, -50, 0, -25, 0, 0, 0, 0, 0, 0, -47000, 0, 15500, 0, 0, -75, 0, 0, 0, 26500, 0, 0, 0, 0, 0, -250, 0, 0, 0, 0, 0, -26500, 26000, 0, 0, 0, 0, 0, 6400, -100, 0, -16000, 0, 0, 0
#> 2 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 3000.4000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, -26000.0000, 0.0000, 47000.0000, -47500.0000, 0.0000, 0.0000, 0.0000, -25.0000, 0.0000, 0.0000, 0.0000, -20.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, -15500.0000, 15150.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, -17.9998, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, -6400.0000, 6275.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 20000.0000, 0.0000, 0.0000, 0.0000, 0.0000, -25000.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, -50.0000, 0.0000, -25.0000, 0.0000, 0.0000, 0.0000, 0.0000, -43000.0000, 0.0000, 41000.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, -6000.0000, 0.0000, 1200.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, -25.0000, 0.0000, 0.0000, 0.0000, -20.0000, 0.0000, 41000.0000, -41000.0000, 0.0000, 0.0000, -50000.0000, 0.0000, 47500.0000, 0.0000, -50.0000, 0.0000, -25.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, -47000.0000, 0.0000, 15500.0000, 0.0000, 0.0000, -75.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 26500.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, -26.9997, 0.0000, 0.0000, 0.0000, -26500.0000, 26000.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 6400.0000, -100.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, -16000.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, -15050.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 1799.9800, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000
#>                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                Z_s
#> 1                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     0.9885536, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.9779180, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.9804688, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.9539656, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.9987820, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.9510223, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.3936630, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.5088814, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.9724771, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.3975155, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000
#> 2 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.1154000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.9885372, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.9762856, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.9804688, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.8000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.9518282, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.2000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.9989036, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.9485771, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.3292618, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.5629315, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.9801335, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.3975155, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.1196000, 0.0000000, 0.0000000, 0.0000000, 0.0000000
#>                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            C_s
#> 1                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       0.0000000000, 0.0104058273, 0.9885535900, 0.0000000000, 0.0005202914, 0.0000000000, 0.0005202914, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.9779179811, 0.0220820189, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 1.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0011092623, 0.0000000000, 0.0005546312, 0.9539656129, 0.0000000000, 0.0443704936, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0006090134, 0.0000000000, 0.0006090134, 0.0000000000, 0.0000000000, 0.9987819732, 0.0000000000, 0.0000000000, 0.9510223490, 0.0000000000, 0.0475511175, 0.0000000000, 0.0009510223, 0.0000000000, 0.0004755112, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.9025444071, 0.0000000000, 0.0960153625, 0.0000000000, 0.0000000000, 0.0014402304, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0091743119, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.9724770642, 0.0183486239, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0062111801, 0.0000000000, 0.9937888199, 0.0000000000, 0.0000000000, 0.0000000000
#> 2 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 1.0000000000, 0.0000000000, 0.0000000000, 0.9990535282, 0.0000000000, 0.0000000000, 0.0000000000, 0.0005258176, 0.0004206541, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.9988400696, 0.0000000000, 0.0000000000, 0.0000000000, 0.0011599304, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 1.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 1.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0011607661, 0.0000000000, 0.0005803831, 0.0000000000, 0.9982588508, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 1.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0006090876, 0.0004872701, 0.0000000000, 0.0000000000, 0.9989036423, 0.0000000000, 0.0000000000, 0.9985022466, 0.0000000000, 0.0000000000, 0.0000000000, 0.0009985022, 0.0000000000, 0.0004992511, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.9984067977, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0015932023, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0010178196, 0.0000000000, 0.0000000000, 0.0000000000, 0.9989821804, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0062111801, 0.0000000000, 0.0000000000, 0.9937888199, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 1.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000
#>                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              D_s
#> 1                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 1.000000000, 0.000000000, 0.000000000, 0.000000000, 0.010526316, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.989473684, 0.000000000, 0.000000000, 0.950000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.050000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.756097561, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.243902439, 0.000000000, 0.000000000, 0.001612903, 0.022580645, 0.000000000, 0.003225806, 0.001612903, 0.003225806, 0.000000000, 0.016129032, 0.000000000, 0.000000000, 0.000000000, 1.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.003984064, 0.000000000, 0.000000000, 0.003984064, 0.003984064, 0.003984064, 0.011952191, 0.000000000, 0.015936255, 0.000000000, 0.000000000, 0.000000000, 1.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.390243902, 0.000000000, 0.000000000, 0.000000000, 0.046511628, 0.953488372, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 1.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.018867925, 0.000000000
#> 2 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 1.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 1.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 1.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 1.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.003300330, 0.000000000, 0.000000000, 0.003300330, 0.000000000, 0.000000000, 0.000000000, 0.993399340, 0.000000000, 0.000000000, 0.000000000, 1.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.003984064, 0.000000000, 0.000000000, 0.000000000, 0.003984064, 0.956175299, 0.003984064, 0.003984064, 0.011952191, 0.000000000, 0.015936255, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.011111235, 0.010000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.011111235, 0.000000000, 0.000000000, 0.015000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 1.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.609756098, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.390243902, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 1.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 1.000000000, 0.000000000, 0.000000000, 1.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000
#>                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         D_feed_s
#> 1                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 1.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.9894737, 0.0000000, 0.0000000, 0.9500000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.7560976, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 1.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 1.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.3902439, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.9534884, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 1.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000
#> 2 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 1.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 1.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 1.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 1.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.9933993, 0.0000000, 0.0000000, 0.0000000, 1.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.9561753, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 1.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.6097561, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.3902439, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 1.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 1.0000000, 0.0000000, 0.0000000, 1.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000
#>                                                                                                                                                                                                                                                                                                                                                              O_s
#> 1                                                                                         0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.9561753, 0.0000000, 0.6097561, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.9516129, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.9811321
#> 2 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 1.0000000, 1.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 1.0000000, 0.0000000, 0.0000000, 0.9527775, 0.0000000, 0.0000000, 0.0000000, 0.0000000, 0.0000000
#>                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                B
#> 1                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         0.000000000, 0.951022349, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.010405827, 0.000000000, 0.389519165, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.503524774, 0.000000000, 0.939125911, 0.047551117, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.096015362, 0.739401400, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.124117420, 0.000000000, 0.001594441, 0.003067814, 0.000000000, 0.022082019, 0.000000000, 0.000000000, 0.001610939, 0.003077308, 0.000000000, 0.015685114, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.980468750, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.003938461, 0.003788934, 0.004705135, 0.000000000, 0.006334909, 0.000000000, 0.003979211, 0.003800660, 0.006082248, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.953965613, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.155128011, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.952326998, 0.044370494, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.972477064, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.018348624
#> 2 0.000000000, 0.948577134, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.329261816, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.562931492, 0.000000000, 0.988537175, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.976285616, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.003130618, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.118810561, 0.000000000, 0.003141347, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.980468750, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.003938395, 0.003779192, 0.003935400, 0.000000000, 0.006334909, 0.000000000, 0.000000000, 0.191235060, 0.000000000, 0.000000000, 0.003979696, 0.003792144, 0.006728265, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.010983868, 0.000000000, 0.000000000, 0.009762856, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.011099053, 0.000000000, 0.000000000, 0.014702002, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.951828207, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.155128011, 0.000000000, 0.487804878, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.998903642, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.980133460, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.115400000, 0.000000000, 0.000000000, 0.000000000, 0.000000000, 0.000000000
#>                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            G_pxp
#> 1                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 1.0000000000, 0.9490246699, 0.9994990190, 0.4089276792, 0.3091892209, 0.0002260275, 0.0002216129, 0.0000000000, 0.0014479885, 0.0009965294, 0.5286138292, 0.5286138292, 0.0000000000, 1.0120562070, 0.0010629751, 0.4360875002, 0.3297246953, 0.0002410396, 0.0002363318, 0.0000000000, 0.0015441598, 0.0010627160, 0.5637228662, 0.5637228662, 0.0000000000, 0.9978994404, 1.0509732185, 0.4299874547, 0.3251124657, 0.0002376679, 0.0002330259, 0.0000000000, 0.0015225599, 0.0010478506, 0.5558374414, 0.5558374414, 0.0000000000, 0.0039148907, 0.0027005449, 1.1079035067, 0.8376831392, 0.0006123739, 0.0006004135, 0.0000000000, 0.0039230203, 0.0026998867, 0.1394850209, 0.1515661698, 0.0000000000, 0.0047863056, 0.0033016588, 0.0020661984, 1.0241428927, 0.0007486821, 0.0007340594, 0.0000000000, 0.0047962447, 0.0033008540, 0.0026709394, 0.0190100332, 0.0000000000, 0.0076901301, 0.0039500568, 0.0084548671, 0.0063927044, 1.0074522156, 0.9877754145, 0.0000000000, 0.0077016938, 0.0039490939, 0.0109294624, 0.0109294624, 0.0000000000, 0.0078433199, 0.0040287431, 0.0086232908, 0.0065200491, 0.0076006661, 1.0074522156, 0.0000000000, 0.0078551140, 0.0040277611, 0.0111471808, 0.0111471808, 0.0000000000, 0.0011341048, 0.0005825361, 0.0012468846, 0.0009427664, 0.1485743867, 0.1456725432, 1.0000000000, 0.9518046645, 0.9988412449, 0.0016118265, 0.0016118265, 0.0000000000, 0.0011929546, 0.0006127644, 0.0013115867, 0.0009916875, 0.1562840583, 0.1532316353, 0.0000000000, 1.0011947484, 0.0006126151, 0.0016954658, 0.0016954658, 0.0000000000, 0.0011888319, 0.0006106468, 0.0013070541, 0.0009882604, 0.1557439646, 0.1527020903, 0.0000000000, 0.9977347733, 1.0470411422, 0.0016896065, 0.0016896065, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 1.0000000000, 0.9906542056, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 1.0186915888
#> 2 1.000000e+00, 9.390350e-01, 9.495240e-01, 3.091892e-01, 3.022075e-01, 2.104846e-04, 2.063736e-04, 6.577645e-04, 3.946587e-05, 5.985105e-02, 3.590544e-02, 0.000000e+00, 1.348417e-03, 9.501212e-04, 5.286137e-01, 5.186399e-01, 0.000000e+00, 1.001420e+00, 1.009782e-03, 3.297301e-01, 3.222846e-01, 2.244682e-04, 2.200840e-04, 7.014630e-04, 4.208778e-05, 6.382724e-02, 3.829081e-02, 0.000000e+00, 1.437999e-03, 1.013242e-03, 5.637321e-01, 5.530957e-01, 0.000000e+00, 9.899406e-01, 1.000998e+00, 3.259505e-01, 3.185903e-01, 2.218951e-04, 2.175612e-04, 6.934223e-04, 4.160534e-05, 6.309560e-02, 3.785189e-02, 0.000000e+00, 1.421516e-03, 1.001628e-03, 5.572702e-01, 5.467556e-01, 0.000000e+00, 4.311629e-03, 3.066804e-03, 1.001422e+00, 9.788095e-01, 6.817315e-04, 6.684165e-04, 2.130411e-03, 1.278247e-04, 4.723413e-04, 1.162929e-01, 0.000000e+00, 4.367343e-03, 3.077315e-03, 2.431649e-03, 4.093079e-03, 0.000000e+00, 4.416360e-03, 3.141298e-03, 1.456833e-03, 1.002585e+00, 6.982911e-04, 6.846526e-04, 2.182160e-03, 1.309296e-04, 4.838147e-04, 1.191177e-01, 0.000000e+00, 4.473427e-03, 3.152065e-03, 2.490715e-03, 4.192502e-03, 0.000000e+00, 7.607940e-03, 3.752552e-03, 6.392295e-03, 6.247953e-03, 1.007452e+00, 9.877752e-01, 3.756375e-03, 1.888973e-01, 1.237383e-03, 7.423228e-04, 0.000000e+00, 7.700569e-03, 3.765413e-03, 1.092876e-02, 1.072256e-02, 0.000000e+00, 7.759493e-03, 3.827304e-03, 6.519632e-03, 6.372414e-03, 7.600487e-03, 1.007452e+00, 3.831203e-03, 1.926602e-01, 1.262032e-03, 7.571101e-04, 0.000000e+00, 7.853967e-03, 3.840421e-03, 1.114647e-02, 1.093616e-02, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 1.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 1.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 1.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 1.105568e-02, 4.822040e-05, 3.646941e-03, 1.333878e-02, 1.743888e-03, 1.709827e-03, 5.449649e-03, 3.269789e-04, 2.404535e-03, 1.001585e+00, 0.000000e+00, 1.117178e-02, 4.838566e-05, 6.235093e-03, 2.083652e-02, 0.000000e+00, 1.122120e-03, 5.534764e-04, 9.428209e-04, 9.215314e-04, 1.485925e-01, 1.456903e-01, 4.643514e-01, 2.786109e-02, 1.825058e-04, 1.094877e-04, 1.000000e+00, 9.519204e-01, 9.523836e-01, 1.611920e-03, 1.581506e-03, 0.000000e+00, 1.180205e-03, 5.821259e-04, 9.916240e-04, 9.692325e-04, 1.562840e-01, 1.532316e-01, 4.883876e-01, 2.930326e-02, 1.919528e-04, 1.151551e-04, 0.000000e+00, 1.001195e+00, 5.841211e-04, 1.695357e-03, 1.663369e-03, 0.000000e+00, 1.178911e-03, 5.814877e-04, 9.905368e-04, 9.681699e-04, 1.561127e-01, 1.530636e-01, 4.878521e-01, 2.927113e-02, 1.917424e-04, 1.150288e-04, 0.000000e+00, 1.000097e+00, 1.000583e+00, 1.693498e-03, 1.661546e-03, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 1.131074e-01, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 1.000000e+00, 9.801335e-01, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 1.154000e-01, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 1.000000e+00
#>                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            G_ixp
#> 1                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         0.9600133766, 0.3161709129, 0.0002260275, 0.0010446177, 0.0014497544, 1.0509732185, 1.0387760436, 0.5435745980, 0.0005686004, 0.0121958052, 0.3371700916, 0.0002410396, 0.0011139983, 0.0015460430, 0.0011177184, 1.1077686134, 0.5796772869, 0.0006063652, 1.0094540655, 0.3324537150, 0.0002376679, 0.0010984155, 0.0015244167, 0.0535983392, 1.0922730099, 0.5715686898, 0.0005978833, 0.0039602210, 0.8565985650, 0.0006123739, 0.0028301719, 0.0039278045, 0.0028396230, 0.2741012251, 0.1558557783, 0.0015405031, 0.0048417259, 0.0246880548, 0.0007486821, 0.0034601394, 0.0048020938, 0.0034716942, 0.0052486478, 0.0195480530, 0.0018834034, 0.0077791737, 0.0065370558, 1.0074522156, 0.0041396606, 0.0077110861, 0.0041534847, 0.0214774247, 0.0112387868, 0.0187469799, 0.0079341373, 0.0066672761, 0.0076006661, 0.0042221240, 0.0078646934, 0.0042362234, 0.0219052619, 0.0114626670, 0.0191204257, 0.0011472365, 0.0009640547, 0.1485743867, 1.0470411422, 0.9529654019, 0.0006125367, 0.0031673911, 0.0016574442, 0.3737574414, 0.0012067677, 0.0010140805, 0.1562840583, 0.0006421773, 0.0011962055, 0.0006443218, 0.0033317502, 0.0017434506, 0.3931520841, 0.0012025973, 0.0010105760, 0.1557439646, 0.0493111508, 0.9989515230, 0.0006420951, 0.0033202362, 0.0017374255, 0.3917934110, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 1.0186915888, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0000000000, 0.0192205960, 0.0000000000
#> 2 5.186399e-01, 9.499238e-01, 3.095482e-01, 2.104846e-04, 8.222056e-04, 9.982066e-04, 1.973294e-04, 1.349897e-03, 1.000998e+00, 9.390374e-01, 5.291523e-01, 5.295004e-04, 3.002127e-01, 5.530957e-01, 1.436117e-03, 3.301130e-01, 2.244682e-04, 8.768288e-04, 1.064522e-03, 2.104389e-04, 1.439577e-03, 1.064522e-03, 1.001422e+00, 5.643065e-01, 5.646777e-04, 3.201573e-01, 5.467556e-01, 1.001420e+00, 3.263290e-01, 2.218951e-04, 8.667778e-04, 1.052320e-03, 2.080267e-04, 1.423076e-03, 1.052320e-03, 9.899432e-01, 5.578380e-01, 5.582049e-04, 3.164874e-01, 4.093079e-03, 4.361625e-03, 1.002585e+00, 6.817315e-04, 2.663014e-03, 3.233057e-03, 6.391233e-04, 4.372136e-03, 3.233057e-03, 4.319618e-03, 4.176042e-03, 1.714981e-03, 9.723487e-01, 4.192502e-03, 4.467571e-03, 2.648010e-03, 6.982911e-04, 2.727700e-03, 3.311590e-03, 6.546479e-04, 4.478337e-03, 3.311590e-03, 4.424543e-03, 4.277480e-03, 1.756639e-03, 9.959675e-01, 1.072256e-02, 7.696160e-03, 6.399718e-03, 1.007452e+00, 4.695469e-03, 3.955980e-03, 9.444863e-01, 7.709021e-03, 3.955980e-03, 1.941402e-02, 1.093990e-02, 1.874654e-02, 6.206712e-03, 1.093616e-02, 7.849470e-03, 6.527203e-03, 7.600487e-03, 4.789004e-03, 4.034784e-03, 9.633008e-01, 7.862587e-03, 4.034784e-03, 1.980075e-02, 1.115782e-02, 1.911998e-02, 6.330352e-03, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 2.083652e-02, 1.118388e-02, 1.366279e-02, 1.743888e-03, 6.812061e-03, 5.083445e-05, 1.634895e-03, 1.118404e-02, 5.083445e-05, 1.107611e-02, 2.125886e-02, 4.386967e-03, 1.325074e-02, 1.581506e-03, 1.135132e-03, 9.439158e-04, 1.485925e-01, 5.804393e-01, 1.000583e+00, 1.393054e-01, 9.529652e-01, 5.834807e-04, 2.863438e-03, 1.613562e-03, 3.738029e-01, 9.154487e-04, 1.663369e-03, 1.193890e-03, 9.927756e-04, 1.562840e-01, 6.104845e-01, 6.136833e-04, 1.465163e-01, 1.195885e-03, 6.136833e-04, 3.011658e-03, 1.697085e-03, 3.931520e-01, 9.628349e-04, 1.661546e-03, 1.192581e-03, 9.916871e-04, 1.561127e-01, 6.098152e-01, 6.130105e-04, 1.463556e-01, 1.001195e+00, 6.130105e-04, 3.008356e-03, 1.695224e-03, 3.927210e-01, 9.617793e-04, 9.801335e-01, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 1.000000e+00, 0.000000e+00, 0.000000e+00, 1.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00, 0.000000e+00
#>               R_prime
#> 1 100000, 0, 0, 86000
#> 2 100000, 0, 0, 86000
#>                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               U_prime
#> 1                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           0, 1000, 95000, 0, 50, 0, 50, 0, 0, 0, 0, 0, 0, 0, 0, 31000, 700, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 100, 0, 50, 86000, 0, 4000, 0, 0, 0, 0, 0, 0, 50, 0, 50, 0, 0, 82000, 0, 0, 100000, 0, 5000, 0, 100, 0, 50, 0, 0, 0, 0, 0, 0, 94000, 0, 10000, 0, 0, 150, 0, 0, 0, 0, 0, 0, 0, 0, 0, 500, 0, 0, 0, 0, 0, 53000, 1000, 0, 0, 0, 0, 0, 0, 200, 0, 32000, 0, 0, 0
#> 2 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 52000.0000, 0.0000, 0.0000, 95000.0000, 0.0000, 0.0000, 0.0000, 50.0000, 0.0000, 0.0000, 0.0000, 40.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 31000.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 35.9996, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 12800.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 50000.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 100.0000, 0.0000, 50.0000, 0.0000, 0.0000, 0.0000, 0.0000, 86000.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 12000.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 50.0000, 0.0000, 0.0000, 0.0000, 40.0000, 0.0000, 0.0000, 82000.0000, 0.0000, 0.0000, 100000.0000, 0.0000, 0.0000, 0.0000, 100.0000, 0.0000, 50.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 94000.0000, 0.0000, 0.0000, 0.0000, 0.0000, 150.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 53.9994, 0.0000, 0.0000, 0.0000, 53000.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 200.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 32000.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 30100.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000
#>                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          U_feed_prime
#> 1                                                                                                                                                                                                                                                                                                                             0, 0, 95000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 31000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 86000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 82000, 0, 0, 100000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 94000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 53000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32000, 0, 0, 0
#> 2 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52000, 0, 0, 95000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 31000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 50000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 86000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 82000, 0, 0, 100000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 94000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 53000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32000, 0, 0, 0, 0, 0, 0, 0, 30100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
#>                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     U_EIOU_prime
#> 1                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           0, 1000, 0, 0, 50, 0, 50, 0, 0, 0, 0, 0, 0, 0, 0, 0, 700, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 100, 0, 50, 0, 0, 4000, 0, 0, 0, 0, 0, 0, 50, 0, 50, 0, 0, 0, 0, 0, 0, 0, 5000, 0, 100, 0, 50, 0, 0, 0, 0, 0, 0, 0, 0, 10000, 0, 0, 150, 0, 0, 0, 0, 0, 0, 0, 0, 0, 500, 0, 0, 0, 0, 0, 0, 1000, 0, 0, 0, 0, 0, 0, 200, 0, 0, 0, 0, 0
#> 2 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 50.0000, 0.0000, 0.0000, 0.0000, 40.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 35.9996, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 100.0000, 0.0000, 50.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 50.0000, 0.0000, 0.0000, 0.0000, 40.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 100.0000, 0.0000, 50.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 150.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 53.9994, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 200.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000
#>                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     r_EIOU_prime
#> 1                                                                                                                                                                                                                                                                                                             0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0
#> 2 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
#>                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   V_prime
#> 1                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   95000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 100000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 41000, 0, 0, 0, 31000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12800, 0, 0, 12550, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 82000, 0, 0, 0, 0, 0, 0, 0, 86000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 53000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 53000, 0
#> 2 0.00, 94000.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 95000.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 31000.00, 0.00, 0.00, 0.00, 0.00, 0.00, 30300.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 12800.00, 0.00, 0.00, 0.00, 0.00, 12550.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 40000.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 2400.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 6000.80, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 3599.96, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 82000.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 82000.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 53000.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 52000.00, 0.00, 0.00
#>                                                                                                                                                                                                                                       Y_prime
#> 1                                                                                                                                                      0, 0, 0, 0, 0, 0, 12000, 0, 50000, 0, 0, 0, 0, 0, 0, 0, 29500, 0, 0, 0, 0, 0, 0, 52000
#> 2 0.000, 0.000, 0.000, 0.000, 0.000, 0.000, 0.000, 0.000, 2400.000, 6000.800, 0.000, 0.000, 0.000, 0.000, 0.000, 0.000, 0.000, 0.000, 0.000, 0.000, 0.000, 0.000, 0.000, 40000.000, 0.000, 0.000, 3429.961, 0.000, 0.000, 0.000, 0.000, 0.000