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Task

Display the row and column in the periodic table of the given atomic number.

The periodic table

Let us consider the following periodic table representation.

```
     __________________________________________________________________________ 
    |   1   2   3   4   5   6   7   8   9   10  11  12  13  14  15  16  17  18 |
    |                                                                          |
    |1  H                                                                   He |
    |                                                                          |
    |2  Li  Be                                          B   C   N   O   F   Ne |
    |                                                                          |
    |3  Na  Mg                                          Al  Si  P   S   Cl  Ar |
    |                                                                          |
    |4  K   Ca  Sc  Ti  V   Cr  Mn  Fe  Co  Ni  Cu  Zn  Ga  Ge  As  Se  Br  Kr |
    |                                                                          |
    |5  Rb  Sr  Y   Zr  Nb  Mo  Tc  Ru  Rh  Pd  Ag  Cd  In  Sn  Sb  Te  I   Xe |
    |                                                                          |
    |6  Cs  Ba  *   Hf  Ta  W   Re  Os  Ir  Pt  Au  Hg  Tl  Pb  Bi  Po  At  Rn |
    |                                                                          |
    |7  Fr  Ra  °   Rf  Db  Sg  Bh  Hs  Mt  Ds  Rg  Cn  Nh  Fl  Mc  Lv  Ts  Og |
    |__________________________________________________________________________|
    |                                                                          |
    |                                                                          |
    |8  Lantanoidi* La  Ce  Pr  Nd  Pm  Sm  Eu  Gd  Tb  Dy  Ho  Er  Tm  Yb  Lu |
    |                                                                          |
    |9   Aktinoidi° Ak  Th  Pa  U   Np  Pu  Am  Cm  Bk  Cf  Es  Fm  Md  No  Lr |
    |__________________________________________________________________________|

```

Example test cases;

* `1` -> `1 1`
* `2` -> `1 18`
* `29` -> `4 11`
* `42` -> `5 6`
* `57` -> `8 4`
* `58` -> `8 5`
* `72` -> `6 4`
* `89` -> `9 4`

Details;

The representation of the periodic table may be represented in various way. The one presented in this challenge does have the following property : Lantanides and Aktinoides are all in a dedicated row, hence there is no element that is placed at 6, 3 nor 7, 3.

You may take a look at the atomic number repartitions here.

The atomic number is at least 1, at most 118.

See also

* the periodic table
* This task was an idea from CompSciFact
* The periodic table in ascii that was used as template
assistant
```
my $b = 18;
my @offset = 16, 10, 10, (2×$b)+1, (-2×$b)-15, (2×$b)+1, (-2×$b)-15;
my @span   = flat ^8 Zxx <1 3 8 44 15 17 15 15>;

for <1 2 29 42 57 58 72 89 90 103> -> $n {
    printf "%3d: %2d, %2d\n", $n, map {$_+1}, ($n-1 + [+] @offset.head(@span[$n-1])).polymod($b).reverse;
}

```

Output:

```
  1:  1,  1
  2:  1, 18
 29:  4, 11
 42:  5,  6
 57:  8,  4
 58:  8,  5
 72:  6,  4
 89:  9,  4
 90:  9,  5
103:  9, 18
```