# How to create strings combining all letters?
**URL:** https://discourse.julialang.org/t/how-to-create-strings-combining-all-letters/49550
**Category:** General Usage
**Tags:** strings
**Created:** [November 3, 2020, 7:45pm UTC](https://discourse.julialang.org/t/how-to-create-strings-combining-all-letters/49550 "2020-11-03T19:45:33Z")
**Posts on this page:** 7
**Page:** 1
### Author:  [@Juan](https://discourse.julialang.org/u/Juan)
#### Post date: [November 3, 2020, 7:45pm UTC](https://discourse.julialang.org/t/how-to-create-strings-combining-all-letters/49550/1 "2020-11-03T19:45:33Z")
Hello.
I’m trying to learn Julia by replicating simple R code in Julia but I’m not even able to create a toy example 😧
Let me ask some simple question.
In R there is a function _letters_, which gives you a vector with all letters or a subset of it, then you don’t need to type them. There is also LETTERS for uppercase.
```julia
letters[1:10]
a, b, c, d, e, f, g, h, i, j
```
How can we get all letters in Julia?
What is the easiest way (and the fastest) to create a vector (or whichever prefered Julia container) with all combinations of letters and/or numbers?
For example
```julia
nn <- 3
mynames <- CJ(letters[1:nn], paste0( rep(letters[1:nn],1:nn),
"_20", sprintf("%02d",sequence(1:nn))))[,paste0(V1,V2)]
```
Here I’m using sprintf in order to be able to run it with longer numbers and get a valid date. And you can use expand.grid instead of CJ but is much slower.
That code produces this vector:
`aa_2001, ab_2001, ab_2002, ac_2001, ac_2002, ac_2003, ba_2001, bb_2001, bb_2002, bc_2001, bc_2002, bc_2003, ca_2001, cb_2001, cb_2002, cc_2001, cc_2002, cc_2003`
How can I do it with Julia?
---
### Author:  [@Mason](https://discourse.julialang.org/u/Mason)
#### Post date: [November 3, 2020, 7:54pm UTC](https://discourse.julialang.org/t/how-to-create-strings-combining-all-letters/49550/2 "2020-11-03T19:54:28Z")
Julia’s ranges can act like `letters` and `LETTERS`:
```julia
julia> collect('a':'j')
10-element Array{Char,1}:
'a': ASCII/Unicode U+0061 (category Ll: Letter, lowercase)
'b': ASCII/Unicode U+0062 (category Ll: Letter, lowercase)
'c': ASCII/Unicode U+0063 (category Ll: Letter, lowercase)
'd': ASCII/Unicode U+0064 (category Ll: Letter, lowercase)
'e': ASCII/Unicode U+0065 (category Ll: Letter, lowercase)
'f': ASCII/Unicode U+0066 (category Ll: Letter, lowercase)
'g': ASCII/Unicode U+0067 (category Ll: Letter, lowercase)
'h': ASCII/Unicode U+0068 (category Ll: Letter, lowercase)
'i': ASCII/Unicode U+0069 (category Ll: Letter, lowercase)
'j': ASCII/Unicode U+006A (category Ll: Letter, lowercase)
julia> collect('A':'J')
10-element Array{Char,1}:
'A': ASCII/Unicode U+0041 (category Lu: Letter, uppercase)
'B': ASCII/Unicode U+0042 (category Lu: Letter, uppercase)
'C': ASCII/Unicode U+0043 (category Lu: Letter, uppercase)
'D': ASCII/Unicode U+0044 (category Lu: Letter, uppercase)
'E': ASCII/Unicode U+0045 (category Lu: Letter, uppercase)
'F': ASCII/Unicode U+0046 (category Lu: Letter, uppercase)
'G': ASCII/Unicode U+0047 (category Lu: Letter, uppercase)
'H': ASCII/Unicode U+0048 (category Lu: Letter, uppercase)
'I': ASCII/Unicode U+0049 (category Lu: Letter, uppercase)
'J': ASCII/Unicode U+004A (category Lu: Letter, uppercase)
```
There are many ways to combine these, one fun way is with broadcasting:
```julia
julia> lift(A) = reshape(A, 1, size(A)...)
lift (generic function with 1 method)
julia> lift(A, N) = reshape(A, (1 for _ ∈ 1:N)..., size(A)...)
lift (generic function with 2 methods)
julia> ('a':'c') .* lift('a':'c') .* '_' .* string.(lift(2001:2003, 2))
3×3×3 Array{String,3}:
[:, :, 1] =
"aa_2001" "ab_2001" "ac_2001"
"ba_2001" "bb_2001" "bc_2001"
"ca_2001" "cb_2001" "cc_2001"
[:, :, 2] =
"aa_2002" "ab_2002" "ac_2002"
"ba_2002" "bb_2002" "bc_2002"
"ca_2002" "cb_2002" "cc_2002"
[:, :, 3] =
"aa_2003" "ab_2003" "ac_2003"
"ba_2003" "bb_2003" "bc_2003"
"ca_2003" "cb_2003" "cc_2003"
```
---
### Author:  [@pdeffebach](https://discourse.julialang.org/u/pdeffebach)
#### Post date: [November 3, 2020, 7:58pm UTC](https://discourse.julialang.org/t/how-to-create-strings-combining-all-letters/49550/3 "2020-11-03T19:58:59Z")
You can also use `Iterators.product`
```julia
julia> [join(x, "_") for x in Iterators.product(["a", "b"], ["x", "y"], ["2001", "2002", "2003"])]
```
---
### Author:  [@Juan](https://discourse.julialang.org/u/Juan)
#### Post date: [November 4, 2020, 12:08am UTC](https://discourse.julialang.org/t/how-to-create-strings-combining-all-letters/49550/4 "2020-11-04T00:08:10Z")
Would it be easier or more efficient using this library?
[https://github.com/JuliaString/Strs.jl](https://github.com/JuliaString/Strs.jl)
---
### Author:  [@pdeffebach](https://discourse.julialang.org/u/pdeffebach)
#### Post date: [November 4, 2020, 12:09am UTC](https://discourse.julialang.org/t/how-to-create-strings-combining-all-letters/49550/5 "2020-11-04T00:09:46Z")
i don’t know. The current solution seems pretty good. Plus if you are trying to learn Julia for the first time it’s probably better to become familiar with the Base functions.
---
### Author:  [@Juan](https://discourse.julialang.org/u/Juan)
#### Post date: [November 4, 2020, 12:11am UTC](https://discourse.julialang.org/t/how-to-create-strings-combining-all-letters/49550/6 "2020-11-04T00:11:54Z")
> [@Mason](#):
>
> ```julia
> )...)
> lift (generic function with 1 method)
>
> julia> lift(A, N) = reshape(A, (1 for _ ∈ 1:N)..., size(A)...)
> lift (generic function with 2 methods)
>
> ```
What I want not just [“a”, “b”] but all letters from “a” to “z”?
---
### Author:  [@Mason](https://discourse.julialang.org/u/Mason)
#### Post date: [November 4, 2020, 12:14am UTC](https://discourse.julialang.org/t/how-to-create-strings-combining-all-letters/49550/7 "2020-11-04T00:14:22Z")
> [@Juan](#):
>
> What I want not just [“a”, “b”] but all letters from “a” to “z”?
Then do that?
```julia
julia> ('a':'z') .* lift('a':'z') .* '_' .* string.(lift(2001:2003, 2))
26×26×3 Array{String,3}:
[:, :, 1] =
"aa_2001" "ab_2001" "ac_2001" "ad_2001" … "aw_2001" "ax_2001" "ay_2001" "az_2001"
"ba_2001" "bb_2001" "bc_2001" "bd_2001" "bw_2001" "bx_2001" "by_2001" "bz_2001"
"ca_2001" "cb_2001" "cc_2001" "cd_2001" "cw_2001" "cx_2001" "cy_2001" "cz_2001"
"da_2001" "db_2001" "dc_2001" "dd_2001" "dw_2001" "dx_2001" "dy_2001" "dz_2001"
"ea_2001" "eb_2001" "ec_2001" "ed_2001" "ew_2001" "ex_2001" "ey_2001" "ez_2001"
"fa_2001" "fb_2001" "fc_2001" "fd_2001" … "fw_2001" "fx_2001" "fy_2001" "fz_2001"
"ga_2001" "gb_2001" "gc_2001" "gd_2001" "gw_2001" "gx_2001" "gy_2001" "gz_2001"
"ha_2001" "hb_2001" "hc_2001" "hd_2001" "hw_2001" "hx_2001" "hy_2001" "hz_2001"
"ia_2001" "ib_2001" "ic_2001" "id_2001" "iw_2001" "ix_2001" "iy_2001" "iz_2001"
"ja_2001" "jb_2001" "jc_2001" "jd_2001" "jw_2001" "jx_2001" "jy_2001" "jz_2001"
"ka_2001" "kb_2001" "kc_2001" "kd_2001" … "kw_2001" "kx_2001" "ky_2001" "kz_2001"
"la_2001" "lb_2001" "lc_2001" "ld_2001" "lw_2001" "lx_2001" "ly_2001" "lz_2001"
"ma_2001" "mb_2001" "mc_2001" "md_2001" "mw_2001" "mx_2001" "my_2001" "mz_2001"
"na_2001" "nb_2001" "nc_2001" "nd_2001" "nw_2001" "nx_2001" "ny_2001" "nz_2001"
"oa_2001" "ob_2001" "oc_2001" "od_2001" "ow_2001" "ox_2001" "oy_2001" "oz_2001"
"pa_2001" "pb_2001" "pc_2001" "pd_2001" … "pw_2001" "px_2001" "py_2001" "pz_2001"
"qa_2001" "qb_2001" "qc_2001" "qd_2001" "qw_2001" "qx_2001" "qy_2001" "qz_2001"
"ra_2001" "rb_2001" "rc_2001" "rd_2001" "rw_2001" "rx_2001" "ry_2001" "rz_2001"
"sa_2001" "sb_2001" "sc_2001" "sd_2001" "sw_2001" "sx_2001" "sy_2001" "sz_2001"
"ta_2001" "tb_2001" "tc_2001" "td_2001" "tw_2001" "tx_2001" "ty_2001" "tz_2001"
"ua_2001" "ub_2001" "uc_2001" "ud_2001" … "uw_2001" "ux_2001" "uy_2001" "uz_2001"
"va_2001" "vb_2001" "vc_2001" "vd_2001" "vw_2001" "vx_2001" "vy_2001" "vz_2001"
"wa_2001" "wb_2001" "wc_2001" "wd_2001" "ww_2001" "wx_2001" "wy_2001" "wz_2001"
"xa_2001" "xb_2001" "xc_2001" "xd_2001" "xw_2001" "xx_2001" "xy_2001" "xz_2001"
"ya_2001" "yb_2001" "yc_2001" "yd_2001" "yw_2001" "yx_2001" "yy_2001" "yz_2001"
"za_2001" "zb_2001" "zc_2001" "zd_2001" … "zw_2001" "zx_2001" "zy_2001" "zz_2001"
[:, :, 2] =
"aa_2002" "ab_2002" "ac_2002" "ad_2002" … "aw_2002" "ax_2002" "ay_2002" "az_2002"
"ba_2002" "bb_2002" "bc_2002" "bd_2002" "bw_2002" "bx_2002" "by_2002" "bz_2002"
"ca_2002" "cb_2002" "cc_2002" "cd_2002" "cw_2002" "cx_2002" "cy_2002" "cz_2002"
"da_2002" "db_2002" "dc_2002" "dd_2002" "dw_2002" "dx_2002" "dy_2002" "dz_2002"
"ea_2002" "eb_2002" "ec_2002" "ed_2002" "ew_2002" "ex_2002" "ey_2002" "ez_2002"
"fa_2002" "fb_2002" "fc_2002" "fd_2002" … "fw_2002" "fx_2002" "fy_2002" "fz_2002"
"ga_2002" "gb_2002" "gc_2002" "gd_2002" "gw_2002" "gx_2002" "gy_2002" "gz_2002"
"ha_2002" "hb_2002" "hc_2002" "hd_2002" "hw_2002" "hx_2002" "hy_2002" "hz_2002"
"ia_2002" "ib_2002" "ic_2002" "id_2002" "iw_2002" "ix_2002" "iy_2002" "iz_2002"
"ja_2002" "jb_2002" "jc_2002" "jd_2002" "jw_2002" "jx_2002" "jy_2002" "jz_2002"
"ka_2002" "kb_2002" "kc_2002" "kd_2002" … "kw_2002" "kx_2002" "ky_2002" "kz_2002"
"la_2002" "lb_2002" "lc_2002" "ld_2002" "lw_2002" "lx_2002" "ly_2002" "lz_2002"
"ma_2002" "mb_2002" "mc_2002" "md_2002" "mw_2002" "mx_2002" "my_2002" "mz_2002"
"na_2002" "nb_2002" "nc_2002" "nd_2002" "nw_2002" "nx_2002" "ny_2002" "nz_2002"
"oa_2002" "ob_2002" "oc_2002" "od_2002" "ow_2002" "ox_2002" "oy_2002" "oz_2002"
"pa_2002" "pb_2002" "pc_2002" "pd_2002" … "pw_2002" "px_2002" "py_2002" "pz_2002"
"qa_2002" "qb_2002" "qc_2002" "qd_2002" "qw_2002" "qx_2002" "qy_2002" "qz_2002"
"ra_2002" "rb_2002" "rc_2002" "rd_2002" "rw_2002" "rx_2002" "ry_2002" "rz_2002"
"sa_2002" "sb_2002" "sc_2002" "sd_2002" "sw_2002" "sx_2002" "sy_2002" "sz_2002"
"ta_2002" "tb_2002" "tc_2002" "td_2002" "tw_2002" "tx_2002" "ty_2002" "tz_2002"
"ua_2002" "ub_2002" "uc_2002" "ud_2002" … "uw_2002" "ux_2002" "uy_2002" "uz_2002"
"va_2002" "vb_2002" "vc_2002" "vd_2002" "vw_2002" "vx_2002" "vy_2002" "vz_2002"
"wa_2002" "wb_2002" "wc_2002" "wd_2002" "ww_2002" "wx_2002" "wy_2002" "wz_2002"
"xa_2002" "xb_2002" "xc_2002" "xd_2002" "xw_2002" "xx_2002" "xy_2002" "xz_2002"
"ya_2002" "yb_2002" "yc_2002" "yd_2002" "yw_2002" "yx_2002" "yy_2002" "yz_2002"
"za_2002" "zb_2002" "zc_2002" "zd_2002" … "zw_2002" "zx_2002" "zy_2002" "zz_2002"
[:, :, 3] =
"aa_2003" "ab_2003" "ac_2003" "ad_2003" … "aw_2003" "ax_2003" "ay_2003" "az_2003"
"ba_2003" "bb_2003" "bc_2003" "bd_2003" "bw_2003" "bx_2003" "by_2003" "bz_2003"
"ca_2003" "cb_2003" "cc_2003" "cd_2003" "cw_2003" "cx_2003" "cy_2003" "cz_2003"
"da_2003" "db_2003" "dc_2003" "dd_2003" "dw_2003" "dx_2003" "dy_2003" "dz_2003"
"ea_2003" "eb_2003" "ec_2003" "ed_2003" "ew_2003" "ex_2003" "ey_2003" "ez_2003"
"fa_2003" "fb_2003" "fc_2003" "fd_2003" … "fw_2003" "fx_2003" "fy_2003" "fz_2003"
"ga_2003" "gb_2003" "gc_2003" "gd_2003" "gw_2003" "gx_2003" "gy_2003" "gz_2003"
"ha_2003" "hb_2003" "hc_2003" "hd_2003" "hw_2003" "hx_2003" "hy_2003" "hz_2003"
"ia_2003" "ib_2003" "ic_2003" "id_2003" "iw_2003" "ix_2003" "iy_2003" "iz_2003"
"ja_2003" "jb_2003" "jc_2003" "jd_2003" "jw_2003" "jx_2003" "jy_2003" "jz_2003"
"ka_2003" "kb_2003" "kc_2003" "kd_2003" … "kw_2003" "kx_2003" "ky_2003" "kz_2003"
"la_2003" "lb_2003" "lc_2003" "ld_2003" "lw_2003" "lx_2003" "ly_2003" "lz_2003"
"ma_2003" "mb_2003" "mc_2003" "md_2003" "mw_2003" "mx_2003" "my_2003" "mz_2003"
"na_2003" "nb_2003" "nc_2003" "nd_2003" "nw_2003" "nx_2003" "ny_2003" "nz_2003"
"oa_2003" "ob_2003" "oc_2003" "od_2003" "ow_2003" "ox_2003" "oy_2003" "oz_2003"
"pa_2003" "pb_2003" "pc_2003" "pd_2003" … "pw_2003" "px_2003" "py_2003" "pz_2003"
"qa_2003" "qb_2003" "qc_2003" "qd_2003" "qw_2003" "qx_2003" "qy_2003" "qz_2003"
"ra_2003" "rb_2003" "rc_2003" "rd_2003" "rw_2003" "rx_2003" "ry_2003" "rz_2003"
"sa_2003" "sb_2003" "sc_2003" "sd_2003" "sw_2003" "sx_2003" "sy_2003" "sz_2003"
"ta_2003" "tb_2003" "tc_2003" "td_2003" "tw_2003" "tx_2003" "ty_2003" "tz_2003"
"ua_2003" "ub_2003" "uc_2003" "ud_2003" … "uw_2003" "ux_2003" "uy_2003" "uz_2003"
"va_2003" "vb_2003" "vc_2003" "vd_2003" "vw_2003" "vx_2003" "vy_2003" "vz_2003"
"wa_2003" "wb_2003" "wc_2003" "wd_2003" "ww_2003" "wx_2003" "wy_2003" "wz_2003"
"xa_2003" "xb_2003" "xc_2003" "xd_2003" "xw_2003" "xx_2003" "xy_2003" "xz_2003"
"ya_2003" "yb_2003" "yc_2003" "yd_2003" "yw_2003" "yx_2003" "yy_2003" "yz_2003"
"za_2003" "zb_2003" "zc_2003" "zd_2003" … "zw_2003" "zx_2003" "zy_2003" "zz_2003"
```
Or with @pdeffebach’s method:
```julia
julia> map(Iterators.product('a':'z', 'a':'z', string.(2001:2003))) do (x, y, z)
x*y*'_'*z
end
26×26×3 Array{String,3}:
[:, :, 1] =
"aa_2001" "ab_2001" "ac_2001" "ad_2001" … "aw_2001" "ax_2001" "ay_2001" "az_2001"
"ba_2001" "bb_2001" "bc_2001" "bd_2001" "bw_2001" "bx_2001" "by_2001" "bz_2001"
"ca_2001" "cb_2001" "cc_2001" "cd_2001" "cw_2001" "cx_2001" "cy_2001" "cz_2001"
"da_2001" "db_2001" "dc_2001" "dd_2001" "dw_2001" "dx_2001" "dy_2001" "dz_2001"
"ea_2001" "eb_2001" "ec_2001" "ed_2001" "ew_2001" "ex_2001" "ey_2001" "ez_2001"
"fa_2001" "fb_2001" "fc_2001" "fd_2001" … "fw_2001" "fx_2001" "fy_2001" "fz_2001"
"ga_2001" "gb_2001" "gc_2001" "gd_2001" "gw_2001" "gx_2001" "gy_2001" "gz_2001"
"ha_2001" "hb_2001" "hc_2001" "hd_2001" "hw_2001" "hx_2001" "hy_2001" "hz_2001"
"ia_2001" "ib_2001" "ic_2001" "id_2001" "iw_2001" "ix_2001" "iy_2001" "iz_2001"
"ja_2001" "jb_2001" "jc_2001" "jd_2001" "jw_2001" "jx_2001" "jy_2001" "jz_2001"
"ka_2001" "kb_2001" "kc_2001" "kd_2001" … "kw_2001" "kx_2001" "ky_2001" "kz_2001"
"la_2001" "lb_2001" "lc_2001" "ld_2001" "lw_2001" "lx_2001" "ly_2001" "lz_2001"
"ma_2001" "mb_2001" "mc_2001" "md_2001" "mw_2001" "mx_2001" "my_2001" "mz_2001"
"na_2001" "nb_2001" "nc_2001" "nd_2001" "nw_2001" "nx_2001" "ny_2001" "nz_2001"
"oa_2001" "ob_2001" "oc_2001" "od_2001" "ow_2001" "ox_2001" "oy_2001" "oz_2001"
"pa_2001" "pb_2001" "pc_2001" "pd_2001" … "pw_2001" "px_2001" "py_2001" "pz_2001"
"qa_2001" "qb_2001" "qc_2001" "qd_2001" "qw_2001" "qx_2001" "qy_2001" "qz_2001"
"ra_2001" "rb_2001" "rc_2001" "rd_2001" "rw_2001" "rx_2001" "ry_2001" "rz_2001"
"sa_2001" "sb_2001" "sc_2001" "sd_2001" "sw_2001" "sx_2001" "sy_2001" "sz_2001"
"ta_2001" "tb_2001" "tc_2001" "td_2001" "tw_2001" "tx_2001" "ty_2001" "tz_2001"
"ua_2001" "ub_2001" "uc_2001" "ud_2001" … "uw_2001" "ux_2001" "uy_2001" "uz_2001"
"va_2001" "vb_2001" "vc_2001" "vd_2001" "vw_2001" "vx_2001" "vy_2001" "vz_2001"
"wa_2001" "wb_2001" "wc_2001" "wd_2001" "ww_2001" "wx_2001" "wy_2001" "wz_2001"
"xa_2001" "xb_2001" "xc_2001" "xd_2001" "xw_2001" "xx_2001" "xy_2001" "xz_2001"
"ya_2001" "yb_2001" "yc_2001" "yd_2001" "yw_2001" "yx_2001" "yy_2001" "yz_2001"
"za_2001" "zb_2001" "zc_2001" "zd_2001" … "zw_2001" "zx_2001" "zy_2001" "zz_2001"
[:, :, 2] =
"aa_2002" "ab_2002" "ac_2002" "ad_2002" … "aw_2002" "ax_2002" "ay_2002" "az_2002"
"ba_2002" "bb_2002" "bc_2002" "bd_2002" "bw_2002" "bx_2002" "by_2002" "bz_2002"
"ca_2002" "cb_2002" "cc_2002" "cd_2002" "cw_2002" "cx_2002" "cy_2002" "cz_2002"
"da_2002" "db_2002" "dc_2002" "dd_2002" "dw_2002" "dx_2002" "dy_2002" "dz_2002"
"ea_2002" "eb_2002" "ec_2002" "ed_2002" "ew_2002" "ex_2002" "ey_2002" "ez_2002"
"fa_2002" "fb_2002" "fc_2002" "fd_2002" … "fw_2002" "fx_2002" "fy_2002" "fz_2002"
"ga_2002" "gb_2002" "gc_2002" "gd_2002" "gw_2002" "gx_2002" "gy_2002" "gz_2002"
"ha_2002" "hb_2002" "hc_2002" "hd_2002" "hw_2002" "hx_2002" "hy_2002" "hz_2002"
"ia_2002" "ib_2002" "ic_2002" "id_2002" "iw_2002" "ix_2002" "iy_2002" "iz_2002"
"ja_2002" "jb_2002" "jc_2002" "jd_2002" "jw_2002" "jx_2002" "jy_2002" "jz_2002"
"ka_2002" "kb_2002" "kc_2002" "kd_2002" … "kw_2002" "kx_2002" "ky_2002" "kz_2002"
"la_2002" "lb_2002" "lc_2002" "ld_2002" "lw_2002" "lx_2002" "ly_2002" "lz_2002"
"ma_2002" "mb_2002" "mc_2002" "md_2002" "mw_2002" "mx_2002" "my_2002" "mz_2002"
"na_2002" "nb_2002" "nc_2002" "nd_2002" "nw_2002" "nx_2002" "ny_2002" "nz_2002"
"oa_2002" "ob_2002" "oc_2002" "od_2002" "ow_2002" "ox_2002" "oy_2002" "oz_2002"
"pa_2002" "pb_2002" "pc_2002" "pd_2002" … "pw_2002" "px_2002" "py_2002" "pz_2002"
"qa_2002" "qb_2002" "qc_2002" "qd_2002" "qw_2002" "qx_2002" "qy_2002" "qz_2002"
"ra_2002" "rb_2002" "rc_2002" "rd_2002" "rw_2002" "rx_2002" "ry_2002" "rz_2002"
"sa_2002" "sb_2002" "sc_2002" "sd_2002" "sw_2002" "sx_2002" "sy_2002" "sz_2002"
"ta_2002" "tb_2002" "tc_2002" "td_2002" "tw_2002" "tx_2002" "ty_2002" "tz_2002"
"ua_2002" "ub_2002" "uc_2002" "ud_2002" … "uw_2002" "ux_2002" "uy_2002" "uz_2002"
"va_2002" "vb_2002" "vc_2002" "vd_2002" "vw_2002" "vx_2002" "vy_2002" "vz_2002"
"wa_2002" "wb_2002" "wc_2002" "wd_2002" "ww_2002" "wx_2002" "wy_2002" "wz_2002"
"xa_2002" "xb_2002" "xc_2002" "xd_2002" "xw_2002" "xx_2002" "xy_2002" "xz_2002"
"ya_2002" "yb_2002" "yc_2002" "yd_2002" "yw_2002" "yx_2002" "yy_2002" "yz_2002"
"za_2002" "zb_2002" "zc_2002" "zd_2002" … "zw_2002" "zx_2002" "zy_2002" "zz_2002"
[:, :, 3] =
"aa_2003" "ab_2003" "ac_2003" "ad_2003" … "aw_2003" "ax_2003" "ay_2003" "az_2003"
"ba_2003" "bb_2003" "bc_2003" "bd_2003" "bw_2003" "bx_2003" "by_2003" "bz_2003"
"ca_2003" "cb_2003" "cc_2003" "cd_2003" "cw_2003" "cx_2003" "cy_2003" "cz_2003"
"da_2003" "db_2003" "dc_2003" "dd_2003" "dw_2003" "dx_2003" "dy_2003" "dz_2003"
"ea_2003" "eb_2003" "ec_2003" "ed_2003" "ew_2003" "ex_2003" "ey_2003" "ez_2003"
"fa_2003" "fb_2003" "fc_2003" "fd_2003" … "fw_2003" "fx_2003" "fy_2003" "fz_2003"
"ga_2003" "gb_2003" "gc_2003" "gd_2003" "gw_2003" "gx_2003" "gy_2003" "gz_2003"
"ha_2003" "hb_2003" "hc_2003" "hd_2003" "hw_2003" "hx_2003" "hy_2003" "hz_2003"
"ia_2003" "ib_2003" "ic_2003" "id_2003" "iw_2003" "ix_2003" "iy_2003" "iz_2003"
"ja_2003" "jb_2003" "jc_2003" "jd_2003" "jw_2003" "jx_2003" "jy_2003" "jz_2003"
"ka_2003" "kb_2003" "kc_2003" "kd_2003" … "kw_2003" "kx_2003" "ky_2003" "kz_2003"
"la_2003" "lb_2003" "lc_2003" "ld_2003" "lw_2003" "lx_2003" "ly_2003" "lz_2003"
"ma_2003" "mb_2003" "mc_2003" "md_2003" "mw_2003" "mx_2003" "my_2003" "mz_2003"
"na_2003" "nb_2003" "nc_2003" "nd_2003" "nw_2003" "nx_2003" "ny_2003" "nz_2003"
"oa_2003" "ob_2003" "oc_2003" "od_2003" "ow_2003" "ox_2003" "oy_2003" "oz_2003"
"pa_2003" "pb_2003" "pc_2003" "pd_2003" … "pw_2003" "px_2003" "py_2003" "pz_2003"
"qa_2003" "qb_2003" "qc_2003" "qd_2003" "qw_2003" "qx_2003" "qy_2003" "qz_2003"
"ra_2003" "rb_2003" "rc_2003" "rd_2003" "rw_2003" "rx_2003" "ry_2003" "rz_2003"
"sa_2003" "sb_2003" "sc_2003" "sd_2003" "sw_2003" "sx_2003" "sy_2003" "sz_2003"
"ta_2003" "tb_2003" "tc_2003" "td_2003" "tw_2003" "tx_2003" "ty_2003" "tz_2003"
"ua_2003" "ub_2003" "uc_2003" "ud_2003" … "uw_2003" "ux_2003" "uy_2003" "uz_2003"
"va_2003" "vb_2003" "vc_2003" "vd_2003" "vw_2003" "vx_2003" "vy_2003" "vz_2003"
"wa_2003" "wb_2003" "wc_2003" "wd_2003" "ww_2003" "wx_2003" "wy_2003" "wz_2003"
"xa_2003" "xb_2003" "xc_2003" "xd_2003" "xw_2003" "xx_2003" "xy_2003" "xz_2003"
"ya_2003" "yb_2003" "yc_2003" "yd_2003" "yw_2003" "yx_2003" "yy_2003" "yz_2003"
"za_2003" "zb_2003" "zc_2003" "zd_2003" … "zw_2003" "zx_2003" "zy_2003" "zz_2003"
```