user
You are given a list of n ascending, unique numbers which are to form limits
for n+1 bins which count how many of a large set of input numbers fall in the
range of each bin.

(Assuming zero-based indexing)

```
   bin[0] counts how many inputs are < limit[0]
   bin[1] counts how many inputs are >= limit[0] and < limit[1]
   ..
   bin[n-1] counts how many inputs are >= limit[n-2] and < limit[n-1]
   bin[n] counts how many inputs are >= limit[n-1]

```

Task

The task is to create a function that given the ascending limits and a stream/
list of numbers, will return the bins; together with another function that
given the same list of limits and the binning will *print the limit of each bin*
together with the count of items that fell in the range*.*

Assume the numbers to bin are too large to practically sort.

Task examples

Part 1: Bin using the following limits the given input data

```
   limits  = [23, 37, 43, 53, 67, 83]
   data = [95,21,94,12,99,4,70,75,83,93,52,80,57,5,53,86,65,17,92,83,71,61,54,58,47,
           16, 8, 9,32,84,7,87,46,19,30,37,96,6,98,40,79,97,45,64,60,29,49,36,43,55]

```

Part 2: Bin using the following limits the given input data

```
   limits = [14, 18, 249, 312, 389, 392, 513, 591, 634, 720]
   data = [445,814,519,697,700,130,255,889,481,122,932, 77,323,525,570,219,367,523,442,933,
           416,589,930,373,202,253,775, 47,731,685,293,126,133,450,545,100,741,583,763,306,
           655,267,248,477,549,238, 62,678, 98,534,622,907,406,714,184,391,913, 42,560,247,
           346,860, 56,138,546, 38,985,948, 58,213,799,319,390,634,458,945,733,507,916,123,
           345,110,720,917,313,845,426,  9,457,628,410,723,354,895,881,953,677,137,397, 97,
           854,740, 83,216,421, 94,517,479,292,963,376,981,480, 39,257,272,157,  5,316,395,
           787,942,456,242,759,898,576, 67,298,425,894,435,831,241,989,614,987,770,384,692,
           698,765,331,487,251,600,879,342,982,527,736,795,585, 40, 54,901,408,359,577,237,
           605,847,353,968,832,205,838,427,876,959,686,646,835,127,621,892,443,198,988,791,
           466, 23,707,467, 33,670,921,180,991,396,160,436,717,918,  8,374,101,684,727,749]

```

Show output here, on this page.
assistant
```
sub bin_it ( @limits, @data ) {
    my @ranges = ( -Inf, |@limits, Inf ).rotor( 2 => -1 ).map: { .[0] ..^ .[1] };
    my @binned = @data.classify(-> $d { @ranges.grep(-> $r { $d ~~ $r }) });
    my %counts = @binned.map: { .key => .value.elems };
    return @ranges.map: { $_ => ( %counts{$_} // 0 ) };
}
sub bin_format ( @bins ) {
    return @bins.map: { .key.gist.fmt('%9s => ') ~ .value.fmt('%2d') };
}

my @tests =
    {
        limits => (23, 37, 43, 53, 67, 83),
        data   => (95,21,94,12,99,4,70,75,83,93,52,80,57,5,53,86,65,17,92,83,71,61,54,58,47,16,8,9,32,84,7,87,46,19,30,37,96,6,98,40,79,97,45,64,60,29,49,36,43,55),
    },
    {
        limits => (14, 18, 249, 312, 389, 392, 513, 591, 634, 720),
        data   => (
            445,814,519,697,700,130,255,889,481,122,932, 77,323,525,570,219,367,523,442,933,416,589,930,373,202,253,775, 47,731,685,293,126,133,450,545,100,741,583,763,306,
            655,267,248,477,549,238, 62,678, 98,534,622,907,406,714,184,391,913, 42,560,247,346,860, 56,138,546, 38,985,948, 58,213,799,319,390,634,458,945,733,507,916,123,
            345,110,720,917,313,845,426,  9,457,628,410,723,354,895,881,953,677,137,397, 97,854,740, 83,216,421, 94,517,479,292,963,376,981,480, 39,257,272,157,  5,316,395,
            787,942,456,242,759,898,576, 67,298,425,894,435,831,241,989,614,987,770,384,692,698,765,331,487,251,600,879,342,982,527,736,795,585, 40, 54,901,408,359,577,237,
            605,847,353,968,832,205,838,427,876,959,686,646,835,127,621,892,443,198,988,791,466, 23,707,467, 33,670,921,180,991,396,160,436,717,918,  8,374,101,684,727,749
        ),
    },
;
for @tests -> ( :@limits, :@data ) {
    my @bins = bin_it( @limits, @data );
    .say for bin_format(@bins);
    say '';
}

```

Output:

```
-Inf..^23 => 11
  23..^37 =>  4
  37..^43 =>  2
  43..^53 =>  6
  53..^67 =>  9
  67..^83 =>  5
 83..^Inf => 13

-Inf..^14 =>  3
  14..^18 =>  0
 18..^249 => 44
249..^312 => 10
312..^389 => 16
389..^392 =>  2
392..^513 => 28
513..^591 => 16
591..^634 =>  6
634..^720 => 16
720..^Inf => 59

```