Non-binary Linear Feedback Shift Registers

There’s way too much documentation about binary LFSRs out there, and not a whole lot on doing the same with other bases. So I’ve put together some tables and a few notes so everybody can throw something together without to much effort.

In the binary case one has a selection of taps which are either used or not used, and the next bit (digit) in the sequence is the parity of the taps one chose to use.

To extend this to base b, one can multiply each tap by an integer between 0 and b-1 (zero meaning the tap is unused), and add these up mod b, and that’s the next digit:

def lfsr5(punctured=False):
  base = 5
  poly = [1, 4, 3]
  shift = [1, 0, 0]

  while True:
    yield shift[0]
    x = sum(map(operator.mul, shift, poly)) % base
    shift = [x] + shift[:-1]
    if not punctured and x == 1 and not any(map(bool, shift[1:])):
      yield 0

A generator like this can produce a pseudorandom string in an alphabet of $b$ characters with a period $b^n-1$. Such sequences are almost a de Bruijn sequence, where every possible length-n string is produced exactly once in the minimum number of steps possible. A de Bruijn sequence with one state excluded is known as a “punctured” de Bruijn sequence, and you can make up the difference by dropping an extra zero into the sequence at the right moment, as illustrated above. More on that later.

I’ve also used it where I wanted a sequence where the new value is the previous value multiplied by 3, but with a small perturbation to ensure that after $b^n-1$ steps it wraps to follow a different path until all values (except for zero) are visited. This was as a team combination thing, in an arbitrary number of dimensions, or something like that, I think.

So I decided to make some tables of polynomials that work for different bases (alphabet sizes) giving the maximum possible periods for a given window length. They’re restricted to prime number bases because they’re the only ones that work with simple modular arithmetic. You can do more with other types of arithmetic but you can also cobble things together out or primes so I left it at that.

I did all the primes up to 257, then a handful of primes immediately above and below powers of two (including a couple of Mersennes), and then the prime factors of a few Fermat numbers and the like. I figured that way one could make a power-of-two generator by discarding the one out-of-range value when it came up.

I also searched for minimal generators using the fewest taps and generators using only one tap greater than one, for the simplest possible implementations on limited hardware.

Searching for maximal-period polynomials

I believe there are some ways to figure these things out directly if you know the right mathematics. I do not know the right mathematics.

What I did instead was to express the candidate LFSR as a matrix. If I multiply a vector by this then the result will be as if the LFSR has taken one step. So if I raise the matrix to the nth power then multiply that’s like taking n steps.

What is needed is for $p^n-1$ steps to land back where it started. So when raising the matrix to that power the result has to be the identity matrix. If not, discard the candidate generator. It’s not maximal period.

But what if it cycles twice in that period? That would give an identity matrix but wouldn’t be full cycle. So raise it to $(p^n-1)/2$. If that’s also identity then chuck it out. This needs to be repeated for every prime factor. The actual period could be a non-prime factor but that just means some tests will yield an identity matrix raised to some spurious other factors, which is still an identity matrix so we still catch it.

This can search very large periods quickly. So quickly that factoring the period becomes problematic in itself. I thought it best to keep these intermediate factorisations in case I needed them later.

Something which helps a lot here is knowing that $p^{a\times b}-1$ can be divided by $p^a-1$ and $p^b-1$ (it’s not the product of these, but they are both factors)¹. So we can collect a lot of prime factors of $p^n-1$ by trying all the factors of n in place of n (all factors, not just prime factors), which means we can reduce the size of the number(s) to be factored. This is less helpful when n if prime, but in most cases it’s good.

Converting to a de Bruijn sequence

A maximal-period LFSR visits every possible state but one in its shift register. The one missing output case is n-zeroes in a row. We get n-1 zeros and then it has to be something else, because once the state is all zeros an LFSR stays that way forever.

If we simply wait until the output is nearly all zeroes and insert an extra zero, then we can fill that gap. And then to get back on track we need to recognise all-zeroes and output something other than another zero (which would be the natural consequence).

For base b there are b-1 cases where this run of n-1 zeroes case appears. Pick one (only one) of them, and insert the all-zeroes case in the sequence (ie., insert one more zero), and then carry on to what the next step would have been before the insertion; which will be the product of the last non-zero shifted out by the value of the last tap in the feedback polynomial.

It’s quite clumsy and not a thing I would want to bother with generally, except that it helps with the following…

Extending to $p^n$ bases

If you need a generator with a base which is some power of a prime then you could use a prime generator which is n times longer and then combine groups of n digits into a single value.

Multiplying out the generator length of a base p generator by n gives us an equivalent state space as a base $p^n$ generator. Stepping though this state space and mapping it to the desired base must then be done in such a way as to emulate the shift register shifting normally in the desired base.

One way to this is to cut the shift register into n runs of consecutive values, and to combine each of the resulting vectors using vectorwise multiplication and addition to make a vector of combined values. Or just combine every (length/n)th value for the next output.

def lfsr9(punctured=False):
  base = 3
  n = 2
  poly = [2, 1, 2, 1, 2, 1]
  shift = [1, 0, 0, 0, 0, 0]
  length = len(poly) // n

  while True:
    r = 0
    for v in shift[::length]:
        r = r * base + v
    yield r
    x = sum(map(operator.mul, shift, poly)) % base
    shift = [x] + shift[:-1]
    if not punctured and x == 1 and not any(map(bool, shift[1:])):
      yield 0

In some instances it’s also possible to advance the generator in steps of n, and combine n consecutive outputs into one result. but this only works when n is co-prime to the period of the generator. The step must be co-prime to ensure that every possible state is visited.

Otherwise, one would need to implement linear $\mathrm{GF}(p^n)$ arithmetic and either repeat the search, or find some polynomials using mathematics I haven’t learned. I haven’t got around to doing either of those things.

Also if I did the search I wolud then need to specify the multiplication and addition operations more explicitly because they’re not the same as for prime bases.

Extending to other bases

One can merge de Bruijn sequences of the same size but co-prime bases by effectively running them in parallel and splicing the outputs by mapping them into a scalar value in a larger range².

def lfsr45():
  bases = (9, 5)
  for values in zip(lfsr9(), lfsr5()):
    r = 0
    for v, b in zip(values, bases):
      r = r * b + v
    yield r

As an implementation detail, the different bases can be maintained in different shift registers, as implied above, but they could also be re-extracted from a single shift register of historical outputs using division and remainder to separate the values for each base before doing the arithmetic. The polynomials could be stored the same way and then you’ve effectively defined some kind of custom arithmetic for multiplication and addition. I don’t know what that’s called, but you can do it.

What doesn’t work so well is trying to merge LFSR sequences this way. The trouble is that their periods are all in the form $p^n-1$, and that minus one makes it difficult to find coprime periods (all maximal non-binary periods are even).

Wikipedia links a reference for constructing de Bruijn sequences for arbitrary bases, but I’m not going to read all that.

Jumping around

As described in the section about searching, you can express an LFSR as a matrix representing the change from one shift register state to the next (as a multiplication). That involves a shifted identity matrix representing the movement of values from one bucket to the next, with the empty column on the edge filled in with the polynomial.

Raising this matrix to an integer power represents that many steps through the sequence, but can be calculated in $log_2 n$ steps.

Unfortunately I have no idea how to recognise whether such a step would pass over the insertion point for the de Bruijn modification. If it does pass over that, then one fewer steps will be needed because the insertion will consume one from the formal count without advancing the LFSR sequence.

Typically I like to have a solution handy for jumping ahead by the period of the generator times the golden ratio. You can use that to maximally distribute an arbitrary number of generators.

Example code

I wrote some code for searching for polynomials and generating sequences here.

Tables

In the tables below, several different polynomials are listed for the given parameters, each enclosed in []. The right-most value is the multiplier for the oldest output, and the leftmost value is the multiplier for the most recent output. The next result is:

\[x_{n+1} = \sum_{i=0}^{l-1} x_{n-i} p_i \mod b\]

Here’s the minimal set:

base	lengthpoly
3	2[2,1] 3[0,1,2] 4[0,0,2,1] 5[0,0,0,1,2] 6[0,0,0,0,2,1] more… 7[0,0,0,0,1,0,2] 8[0,0,0,0,2,0,0,1] 9[0,0,0,0,1,0,0,0,2] 10[0,0,0,0,0,0,1,0,1,1] 11[0,0,0,0,0,0,0,0,1,0,2] 12[0,0,0,0,0,0,1,0,0,0,1,1] 13[0,0,0,0,0,0,0,0,0,0,0,1,2] 14[0,0,0,0,0,0,0,0,0,0,0,0,2,1] 15[0,0,0,0,0,0,0,0,0,0,0,0,1,0,2] 16[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2] 18[0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2] 24[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1] 25[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2]
5	2[1,3] 3[0,1,2] 4[0,1,1,2] 5[0,0,0,1,2] 6[0,0,0,0,1,3] more… 7[0,0,0,0,0,1,2] 8[0,0,0,0,0,1,1,2] 9[0,0,0,1,0,0,0,0,2] 10[0,0,0,0,0,1,1,0,0,3] 11[0,0,0,0,0,0,0,0,1,0,2] 12[0,0,0,0,0,0,0,0,1,1,0,2] 13[0,0,0,0,0,1,0,0,0,0,0,0,2] 14[0,0,0,0,0,1,0,0,1,0,0,0,0,2] 15[0,0,0,0,0,0,0,0,0,0,0,0,1,0,2] 16[0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2] 19[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3] 23[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2]
7	2[1,4] 3[0,1,5] 4[0,1,1,4] 5[0,0,0,1,3] 6[0,0,1,0,1,2] more… 7[0,0,0,0,0,1,3] 8[0,0,0,0,0,0,1,4] 9[0,0,0,0,0,0,1,0,3] 10[0,0,0,0,0,0,0,1,1,4] 11[0,0,0,0,0,0,0,1,0,1,5] 12[0,0,0,0,0,0,0,0,0,1,1,4] 13[0,0,0,0,0,0,0,0,0,0,1,0,3] 14[0,0,0,0,1,0,0,0,0,0,0,0,0,4] 15[0,0,0,0,0,0,0,0,0,0,0,0,1,1,3] 16[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4] 17[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5] 18[0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,4] 21[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,3] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,4] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,4]
11	2[1,4] 3[0,1,7] 4[0,0,1,9] 5[0,0,1,0,2] 6[0,0,1,1,0,4] 7[0,0,0,0,0,1,7] more… 8[0,0,0,0,0,1,1,9] 9[0,0,0,0,0,0,0,1,8] 10[0,0,0,0,0,0,1,0,1,5] 11[0,0,0,0,0,0,0,0,0,1,7] 12[0,0,0,0,0,0,0,0,0,0,1,4] 13[0,0,0,0,0,0,0,0,0,0,0,1,8] 14[0,0,0,0,0,0,0,0,1,0,0,1,0,9] 15[0,0,0,0,0,0,0,0,0,0,1,0,0,1,7] 16[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,4] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,7] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,9] 19[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,6] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,5] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,8] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,5] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,6] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,9]
13	2[1,11] more… 3[1,0,7] 4[1,0,1,11] 5[0,0,1,1,6] 6[0,0,0,1,1,11] 7[0,0,1,0,0,0,2] 8[0,0,0,0,1,0,1,11] 9[0,0,0,0,1,0,0,0,6] 10[0,0,0,0,0,0,1,0,1,2] 11[0,0,0,0,0,0,0,1,0,0,7] 12[0,0,0,0,0,0,0,1,1,0,0,2] 13[0,0,0,0,0,0,0,0,0,0,0,1,7] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,11] 15[0,0,0,0,0,0,0,0,0,0,0,1,1,0,7] 16[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,7] 17[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,7] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,7] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,7] 22[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,7] 24[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,11]
17	2[1,10] more… 3[0,1,3] 4[0,0,1,6] 5[0,0,0,1,10] 6[0,0,0,0,1,5] 7[0,0,0,0,0,1,3] 8[0,0,0,0,1,0,0,12] 9[0,0,0,0,0,0,1,0,3] 10[0,0,0,0,0,0,0,0,1,10] 11[0,0,0,0,0,0,0,0,1,0,7] 12[0,0,0,0,0,0,1,0,0,0,0,11] 13[0,0,0,0,0,0,0,0,1,0,0,0,14] 14[0,0,0,0,0,0,0,0,0,0,0,1,1,10] 15[1,0,0,0,0,0,0,0,0,0,0,0,0,0,10] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,10] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,14] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,7] 20[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,10] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,14] 22[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,10] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,5] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,3]
19	2[1,5] more… 3[0,1,15] 4[1,0,0,17] 5[0,0,0,1,10] 6[0,0,0,0,1,16] 7[0,0,0,0,1,0,13] 8[0,0,0,0,0,0,1,5] 9[0,0,0,0,1,0,0,0,10] 10[0,0,0,0,0,0,0,1,1,9] 11[0,0,0,0,0,0,0,0,0,1,2] 12[0,0,0,0,0,0,0,0,0,0,1,4] 13[0,0,0,0,0,0,0,0,0,0,0,1,13] 14[0,0,0,0,0,0,0,0,1,0,0,0,0,5] 15[0,0,0,0,0,0,0,0,0,0,1,0,1,0,13] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,16] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,16] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,16] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,17] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,5]
23	2[1,9] more… 3[0,1,11] 4[0,0,1,12] 5[0,0,0,1,5] 6[0,0,0,0,1,8] 7[0,0,0,0,0,1,15] 8[0,0,0,0,1,0,0,8] 9[0,0,0,0,1,0,0,0,17] 10[0,0,0,0,0,0,0,0,1,16] 11[0,0,0,0,0,0,0,0,0,1,10] 12[0,0,0,0,0,0,1,0,0,0,0,12] 13[0,0,0,0,0,0,0,0,0,1,0,0,15] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,16] 15[0,0,0,0,0,0,0,1,0,0,0,0,0,0,11] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,15] 18[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,18] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,10] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,16] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,17] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,12] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,14] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,16]
29	2[1,26] more… 3[0,1,19] 4[0,0,1,3] 5[0,0,0,1,18] 6[0,0,0,0,1,26] 7[0,0,0,0,0,1,3] 8[0,0,0,0,0,1,1,3] 9[0,0,0,0,0,0,1,0,2] 10[0,0,1,0,0,0,0,0,0,14] 11[0,0,0,0,0,0,0,0,1,0,21] 12[0,0,0,0,0,0,0,0,0,0,1,14] 13[0,0,0,0,0,0,0,0,0,0,0,1,2] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,15] 15[0,0,0,0,0,0,0,0,0,0,0,0,1,0,3] 16[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,8] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,18] 18[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,21] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,19] 20[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,8] 21[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,19] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,18] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,19] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,8]
31	2[1,18] more… 3[0,1,22] 4[1,0,0,18] 5[0,0,0,1,21] 6[1,0,0,0,0,18] 7[0,0,0,0,0,1,13] 8[0,0,0,0,0,0,1,9] 9[0,0,0,1,0,0,0,0,12] 10[0,0,0,0,0,0,0,0,1,20] 11[0,0,0,0,0,0,0,1,0,0,22] 12[0,0,0,0,0,0,0,0,1,1,0,9] 13[0,0,0,0,0,0,0,0,0,0,1,0,3] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,9] 15[0,0,0,0,0,0,0,0,0,0,0,0,1,0,17] 16[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,19] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,22] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,28] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,13] 20[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20] 21[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,13] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,9] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3] 24[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,9]
37	2[1,22] more… 3[0,1,22] 4[0,0,1,22] 5[0,0,0,1,24] 6[0,0,0,0,1,17] 7[0,0,0,0,1,0,20] 8[0,0,0,0,0,0,1,19] 9[0,0,0,1,0,0,0,0,19] 10[0,0,0,0,0,0,1,0,0,32] 11[0,0,0,0,0,0,0,1,0,0,22] 12[0,0,0,0,0,0,0,0,0,0,1,22] 13[0,0,0,0,0,0,0,0,0,0,1,0,22] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,15] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,20] 16[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,22] 17[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,15] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,15] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,22] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,15] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,22] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,20] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,5] 24[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,19]
41	2[1,7] more… 3[0,1,13] 4[0,0,1,24] 5[0,0,0,1,7] 6[0,0,0,0,1,28] 7[0,0,0,0,1,0,7] 8[0,0,0,0,0,0,1,29] 9[0,0,0,0,0,0,0,1,24] 10[0,0,0,0,0,0,1,0,1,7] 11[0,0,0,0,0,0,0,0,1,0,7] 12[0,0,0,0,0,0,0,0,1,1,0,22] 13[0,0,0,0,0,0,0,0,0,0,1,0,12] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,28] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,6] 16[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,19] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,26] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,30] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,30] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,35] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,24] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,24] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,7] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,12]
43	2[1,9] more… 3[0,1,33] 4[0,0,1,9] 5[0,0,0,1,33] 6[0,0,0,0,1,17] 7[0,0,0,0,1,0,29] 8[0,0,0,0,1,0,0,15] 9[0,0,0,0,0,0,1,0,33] 10[0,0,0,0,0,0,1,0,0,9] 11[0,0,0,0,0,0,0,0,0,1,26] 12[0,0,0,0,0,0,0,0,0,0,1,10] 13[0,0,0,0,0,0,0,0,0,0,0,1,5] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,38] 15[0,0,0,0,0,0,0,0,0,0,1,0,0,0,19] 16[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,9] 17[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,18] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,25] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,29] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,25] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,18] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,38] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,20] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,24]
47	2[1,17] more… 3[0,1,30] 4[0,0,1,8] 5[0,0,0,1,44] 6[0,0,0,0,1,36] 7[0,0,0,0,0,1,38] 8[0,0,0,0,0,0,1,6] 9[0,0,0,0,0,0,1,0,13] 10[0,0,0,0,0,0,0,0,1,27] 11[0,0,0,0,0,0,0,0,0,1,26] 12[0,0,0,0,0,0,1,0,0,0,0,3] 13[0,0,0,0,0,0,0,0,0,0,0,1,15] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,24] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,33] 16[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,6] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,43] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,30] 20[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,28] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,30] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,17] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,22] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,9]
53	2[1,32] more… 3[0,1,41] 4[0,0,1,19] 5[0,0,0,1,41] 6[0,0,0,0,1,18] 7[0,0,0,0,0,1,18] 8[0,0,0,0,1,0,0,20] 9[0,0,0,0,0,0,0,1,19] 10[0,0,0,0,0,0,0,0,1,32] 11[0,0,0,0,0,0,0,0,0,1,27] 12[0,0,0,0,0,0,0,0,0,0,1,41] 13[0,0,0,0,0,0,0,0,0,0,1,0,48] 14[0,0,0,0,0,0,0,0,1,0,0,0,0,50] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,48] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,39] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,45] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,19] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,27] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,20] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,39] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,19] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,50] 24[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,21]
59	2[1,25] more… 3[0,1,14] 4[0,0,1,28] 5[0,0,0,1,13] 6[0,0,0,0,1,36] 7[0,0,0,0,0,1,39] 8[0,0,0,0,0,0,1,45] 9[0,0,0,0,0,0,0,1,32] 10[0,0,0,0,0,0,1,0,0,25] 11[0,0,0,0,0,0,0,0,0,1,13] 12[0,0,0,0,0,0,0,0,0,0,1,49] 13[0,0,0,0,0,0,0,0,0,0,0,1,10] 14[0,0,0,0,0,0,0,0,0,0,1,0,0,5] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,56] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,28] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,37] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2] 20[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,20] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,23] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,49] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,13] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,16]
61	2[1,43] more… 3[0,1,44] 4[0,0,1,35] 5[0,0,0,1,6] 6[1,0,0,0,0,26] 7[0,0,0,0,0,1,6] 8[0,0,0,0,0,0,1,44] 9[0,0,0,0,0,0,1,0,26] 10[0,0,0,0,0,0,1,0,0,43] 11[0,0,0,0,0,0,0,0,0,1,30] 12[0,0,0,0,0,0,0,0,0,0,1,17] 13[0,0,0,0,0,0,0,0,0,0,0,1,6] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,18] 15[0,1,0,0,0,0,0,0,0,0,0,0,0,0,51] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,6] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,43] 18[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,18] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,30] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,31] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,44] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,7] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,7] 24[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,10]
67	2[1,17] more… 3[0,1,46] 4[0,0,1,65] 5[0,0,0,1,46] 6[0,0,0,1,1,36] 7[0,0,0,0,0,1,34] 8[0,0,0,0,0,0,1,4] 9[0,0,0,0,0,0,0,1,12] 10[0,0,0,0,0,0,0,0,1,23] 11[0,0,0,0,0,0,0,1,0,0,41] 12[1,0,0,0,0,0,0,0,0,0,0,49] 13[0,0,0,0,0,0,0,0,0,0,0,1,57] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,60] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,12] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,36] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,57] 18[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,6] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,7] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,19] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,18] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,19] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,34] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,55]
71	2[1,60] more… 3[0,1,21] 4[0,0,1,60] 5[0,0,0,1,33] 6[1,0,0,0,0,38] 7[0,0,0,0,0,1,65] 8[0,0,0,0,1,0,0,49] 9[0,0,0,0,0,0,1,0,44] 10[0,0,0,0,0,0,0,0,1,49] 11[0,0,0,0,0,0,0,0,1,0,22] 12[0,0,0,0,0,0,0,0,0,1,1,6] 13[0,0,0,0,0,0,0,0,0,0,0,1,55] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,6] 15[0,0,0,0,0,0,0,0,0,0,0,0,1,0,56] 16[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,24] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,11] 18[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,18] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,21] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,49] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,68] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,40] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,42] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,15]
73	2[1,44] more… 3[0,1,15] 4[0,0,1,44] 5[0,0,0,1,28] 6[0,0,0,0,1,11] 7[0,0,0,0,1,0,15] 8[0,0,0,0,0,0,1,33] 9[0,0,0,0,0,0,1,0,26] 10[0,0,0,0,0,0,1,0,0,59] 11[0,0,0,0,0,0,0,0,0,1,15] 12[0,0,0,0,0,0,0,0,0,0,1,44] 13[0,0,0,0,0,0,0,0,0,0,1,0,34] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,58] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,13] 16[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,29] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,42] 18[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,28] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,14] 20[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,5] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,58] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,58] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,68] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,29]
79	2[1,49] more… 3[0,1,34] 4[0,0,1,20] 5[0,0,0,1,37] 6[0,0,0,0,1,36] 7[0,0,0,0,0,1,35] 8[0,0,0,0,0,0,1,36] 9[0,0,0,0,0,0,0,1,34] 10[0,0,0,0,0,0,0,0,1,49] 11[0,0,0,0,0,0,0,0,0,1,6] 12[0,0,0,0,0,0,0,0,0,0,1,26] 13[0,0,0,0,0,0,0,0,0,0,0,1,48] 14[0,0,0,0,0,0,0,0,0,0,1,0,0,25] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,43] 16[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,20] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,77] 18[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,42] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,6] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,9] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,68] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,72] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,60] 24[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,49]
83	2[1,33] more… 3[0,1,66] 4[0,0,1,16] 5[0,0,0,1,50] 6[0,0,0,0,1,49] 7[0,0,0,0,0,1,46] 8[0,0,0,0,0,0,1,27] 9[0,0,0,0,0,0,0,1,13] 10[0,0,0,0,0,0,0,0,1,10] 11[0,0,0,0,0,0,0,0,0,1,15] 12[0,0,0,0,0,0,0,0,0,0,1,16] 13[0,0,0,0,0,0,0,0,0,0,0,1,39] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,63] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,13] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,10] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,42] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,48] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,46] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,25] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,50] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,81] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,52] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,4]
89	2[1,74] more… 3[0,1,19] 4[0,0,1,54] 5[0,0,0,1,7] 6[0,0,0,0,1,19] 7[0,0,0,0,0,1,6] 8[0,0,0,0,0,0,1,3] 9[0,0,0,0,0,0,0,1,3] 10[0,0,0,0,0,0,0,0,1,76] 11[0,0,0,0,0,0,0,0,0,1,6] 12[0,0,0,0,0,0,1,0,0,0,0,31] 13[0,0,0,0,0,0,0,0,0,1,0,0,38] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,74] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,19] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,6] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,43] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,23] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,24] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,58] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,76] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,74] 24[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,19]
97	2[1,82] more… 3[0,1,58] 4[0,0,1,74] 5[0,0,0,1,60] 6[0,0,0,0,1,82] 7[0,0,0,0,0,1,59] 8[0,0,0,0,0,0,1,13] 9[0,0,0,0,0,0,1,0,59] 10[0,0,0,0,0,0,1,0,0,82] 11[0,0,0,0,0,0,0,0,0,1,7] 12[0,0,0,0,0,0,0,0,0,0,1,29] 13[0,0,0,0,0,0,0,0,0,0,1,0,82] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,29] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,13] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,15] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,92] 18[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,58] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,58] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,7] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,87] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,13] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,58] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,14]
101	2[1,94] more… 3[0,1,67] 4[0,0,1,28] 5[0,0,0,1,28] 6[0,0,0,0,1,94] 7[0,0,0,0,0,1,67] 8[0,0,0,0,0,0,1,29] 9[0,0,0,0,0,0,0,1,72] 10[0,0,0,0,0,0,0,0,1,29] 11[0,0,0,0,0,0,0,0,1,0,89] 12[0,0,0,0,0,0,0,0,0,0,1,89] 13[0,0,0,0,0,0,0,0,0,0,0,1,61] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,28] 15[0,0,0,0,0,0,0,0,0,0,0,0,1,0,67] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,55] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,67] 18[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,72] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,26] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,51] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,89] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,89] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,74] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,73]
103	2[1,82] more… 3[0,1,20] 4[0,0,1,98] 5[0,0,0,1,62] 6[0,0,0,0,1,98] 7[0,0,0,0,0,1,20] 8[0,0,0,0,0,0,1,36] 9[0,0,0,0,0,0,0,1,101] 10[0,0,0,0,0,0,0,0,1,82] 11[0,0,0,0,0,0,0,0,0,1,40] 12[0,0,0,0,0,0,0,0,0,0,1,52] 13[0,0,0,0,0,0,0,0,0,0,0,1,67] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,15] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,71] 16[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,32] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,35] 18[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,33] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,101] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,55] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,35] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,17] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,54] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,18]
107	2[1,36] more… 3[0,1,46] 4[0,0,1,49] 5[0,0,0,1,8] 6[0,0,0,0,1,101] 7[0,0,0,0,0,1,2] 8[0,0,0,0,0,0,1,101] 9[0,0,0,0,0,0,0,1,6] 10[0,0,0,0,0,0,0,0,1,105] 11[0,0,0,0,0,0,0,0,0,1,8] 12[0,0,0,0,0,0,0,0,0,0,1,90] 13[0,0,0,0,0,0,0,0,0,0,0,1,104] 14[0,0,0,0,0,0,0,0,0,0,1,0,0,35] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,5] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,81] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,60] 18[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,30] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,43] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,64] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,104] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,12] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,97] 24[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,105]
109	2[1,50] more… 3[0,1,67] 4[0,0,1,67] 5[0,0,0,1,24] 6[0,0,0,0,1,91] 7[0,0,0,0,0,1,24] 8[0,0,0,0,0,0,1,70] 9[0,0,0,0,0,0,1,0,91] 10[0,0,0,0,0,0,0,0,1,24] 11[0,0,0,0,0,0,0,0,0,1,30] 12[0,0,0,0,0,0,0,0,0,0,1,103] 13[0,0,0,0,0,0,0,0,0,0,0,1,47] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,13] 15[0,0,0,0,0,0,0,0,0,0,0,0,1,0,10] 16[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,91] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,30] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,56] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,14] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,11] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,52] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,103] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,6] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,51]
113	2[1,70] more… 3[0,1,96] 4[0,0,1,27] 5[0,0,0,1,96] 6[0,0,0,0,1,55] 7[0,0,0,0,0,1,70] 8[0,0,0,0,1,0,0,20] 9[0,0,0,0,0,0,1,0,45] 10[0,0,0,0,0,0,0,0,1,19] 11[0,0,0,0,0,0,0,0,0,1,70] 12[0,0,0,0,0,0,0,0,0,0,1,76] 13[0,0,0,0,0,0,0,0,0,0,0,1,79] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,20] 15[0,0,0,0,0,0,0,0,0,0,0,0,1,0,96] 16[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,17] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,27] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,89] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,108] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,6] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,79] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,54] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,45] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3]
127	2[1,74] more… 3[0,1,114] 4[0,0,1,74] 5[0,0,0,1,116] 6[0,0,0,0,1,81] 7[0,0,0,0,0,1,110] 8[0,0,0,0,0,0,1,9] 9[0,0,0,0,0,0,0,1,101] 10[0,0,0,0,0,0,1,0,0,81] 11[0,0,0,0,0,0,0,0,0,1,83] 12[0,0,0,0,0,0,0,0,0,0,1,15] 13[0,0,0,0,0,0,0,0,0,0,1,0,110] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,98] 15[0,0,0,0,0,0,0,0,0,0,0,0,1,0,101] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,41] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,97] 18[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,81] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,23] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,15] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,56] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,36] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,114] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,11]
131	2[1,21] more… 3[0,1,29] 4[0,0,1,100] 5[0,0,0,1,85] 6[1,0,0,0,0,123] 7[0,0,0,0,0,1,6] 8[0,0,0,0,0,0,1,34] 9[0,0,0,0,0,0,0,1,87] 10[0,0,0,0,0,0,0,0,1,49] 11[0,0,0,0,0,0,0,0,0,1,6] 12[0,0,0,0,0,0,0,0,0,0,1,9] 13[0,0,0,0,0,0,0,0,0,0,0,1,40] 14[0,0,0,0,0,0,0,0,0,0,1,0,0,5] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,23] 16[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,108] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,119] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,31] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,65] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,57] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,44] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,95] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,108]
137	2[1,31] more… 3[0,1,84] 4[0,0,1,92] 5[0,0,0,1,75] 6[0,0,0,0,1,31] 7[0,0,0,0,0,1,114] 8[0,0,0,0,0,0,1,94] 9[0,0,0,0,0,0,1,0,75] 10[0,0,0,0,0,0,0,0,1,84] 11[0,0,0,0,0,0,0,0,0,1,75] 12[0,0,0,0,0,0,1,0,0,0,0,31] 13[0,0,0,0,0,0,0,0,0,0,0,1,89] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,66] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,52] 16[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,6] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,89] 18[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,6] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,52] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,85] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,134] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,132] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,52] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,94]
139	2[1,118] more… 3[0,1,2] 4[0,0,1,86] 5[0,0,0,1,12] 6[0,0,0,0,1,118] 7[0,0,0,0,1,0,90] 8[0,0,0,0,0,0,1,120] 9[0,0,0,0,0,0,0,1,130] 10[0,0,0,0,0,0,0,0,1,24] 11[0,0,0,0,0,0,0,0,0,1,115] 12[0,0,0,0,0,0,0,0,0,0,1,117] 13[0,0,0,0,0,0,0,0,0,0,0,1,68] 14[0,0,0,0,0,0,0,0,0,0,1,0,0,99] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,119] 16[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,66] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,108] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,89] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,56] 20[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,49] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,120] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,92] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,16]
149	2[1,126] more… 3[0,1,126] 4[0,0,1,12] 5[0,0,0,1,136] 6[0,0,0,0,1,135] 7[0,0,0,0,0,1,79] 8[0,0,0,0,0,0,1,12] 9[0,0,0,0,0,0,0,1,11] 10[0,0,0,0,0,0,0,0,1,78] 11[0,0,0,0,0,0,0,0,0,1,91] 12[0,0,0,0,0,0,0,0,0,0,1,60] 13[0,0,0,0,0,0,0,0,0,0,0,1,32] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,21] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,11] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,23] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,87] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,52] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,147] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,8] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,34] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,51] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,126] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,98]
151	2[1,97] more… 3[0,1,14] 4[0,0,1,43] 5[0,0,0,1,48] 6[0,0,0,0,1,139] 7[0,0,0,0,0,1,102] 8[0,0,0,0,0,0,1,90] 9[0,0,0,0,0,0,0,1,71] 10[0,0,0,0,0,0,0,0,1,10] 11[0,0,0,0,0,0,0,0,0,1,117] 12[0,0,0,0,0,0,0,0,0,0,1,90] 13[0,0,0,0,0,0,0,0,0,0,0,1,14] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,145] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,48] 16[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,25] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,93] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,43] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,102] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,17] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,129] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,100] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,130] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,25]
157	2[1,137] more… 3[0,1,69] 4[0,0,1,70] 5[0,0,0,1,97] 6[0,0,0,0,1,96] 7[0,0,0,0,0,1,96] 8[0,0,0,0,0,0,1,66] 9[0,0,0,0,0,0,0,1,137] 10[0,0,0,0,0,0,0,0,1,137] 11[0,0,0,0,0,0,0,0,1,0,18] 12[0,0,0,0,0,0,0,0,0,0,1,6] 13[0,0,0,0,0,0,0,0,0,0,0,1,151] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,15] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,119] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,96] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,97] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,69] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,137] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,43] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,63] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,38] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,63] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,102]
163	2[1,97] more… 3[0,1,130] 4[0,0,1,33] 5[0,0,0,1,130] 6[0,0,0,0,1,97] 7[0,0,0,0,0,1,130] 8[0,0,0,0,0,0,1,160] 9[0,0,0,0,0,0,0,1,129] 10[0,0,0,0,0,0,1,0,0,160] 11[0,0,0,0,0,0,0,0,0,1,92] 12[0,0,0,0,0,0,0,0,0,0,1,121] 13[0,0,0,0,0,0,0,0,0,0,0,1,112] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,47] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,32] 16[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,93] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,124] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,26] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,63] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,57] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,75] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,161] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,45] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,56]
167	2[1,87] more… 3[0,1,37] 4[0,0,1,8] 5[0,0,0,1,109] 6[0,0,0,0,1,22] 7[0,0,0,0,0,1,159] 8[0,0,0,0,0,0,1,14] 9[0,0,0,0,0,0,0,1,37] 10[0,0,0,0,0,0,0,0,1,116] 11[0,0,0,0,0,0,0,0,0,1,45] 12[0,0,0,0,0,0,0,0,0,0,1,85] 13[0,0,0,0,0,0,0,0,0,0,0,1,35] 14[0,0,0,0,0,0,0,0,0,0,1,0,0,130] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,109] 16[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,18] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,149] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,50] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,10] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,96] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,143] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,62] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,159] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,147]
173	2[1,48] more… 3[0,1,115] 4[0,0,1,48] 5[0,0,0,1,115] 6[0,0,0,0,1,129] 7[0,0,0,0,0,1,115] 8[0,0,0,0,0,0,1,115] 9[0,0,0,0,0,0,0,1,86] 10[0,0,0,0,0,0,0,0,1,120] 11[0,0,0,0,0,0,0,0,0,1,19] 12[0,0,0,0,0,0,0,0,0,0,1,62] 13[0,0,0,0,0,0,0,0,0,0,0,1,131] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,153] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,39] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,170] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,39] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,66] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,53] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,26] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,111] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,26] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,58]
179	2[1,52] more… 3[0,1,92] 4[0,0,1,172] 5[0,0,0,1,150] 6[0,0,0,0,1,81] 7[0,0,0,0,0,1,23] 8[0,0,0,0,0,0,1,161] 9[0,0,0,0,0,0,0,1,154] 10[0,0,0,0,0,0,0,0,1,116] 11[0,0,0,0,0,0,0,0,0,1,132] 12[0,0,0,0,0,0,0,0,0,0,1,9] 13[0,0,0,0,0,0,0,0,0,0,0,1,96] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,100] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,84] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,13] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,38] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,89] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,44] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,155] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,92] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,52] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,111] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,46]
181	2[1,158] more… 3[0,1,77] 4[0,0,1,21] 5[0,0,0,1,158] 6[0,0,0,0,1,153] 7[0,0,0,0,0,1,96] 8[0,0,0,0,0,0,1,158] 9[0,0,0,0,0,0,0,1,58] 10[0,0,0,0,0,0,1,0,0,58] 11[0,0,0,0,0,0,0,0,0,1,115] 12[0,0,0,0,0,0,0,0,0,0,1,84] 13[0,0,0,0,0,0,0,0,0,0,0,1,54] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,179] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,97] 16[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,18] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,158] 18[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,21] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,18] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,78] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,153] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,54] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,54] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,18]
191	2[1,118] more… 3[0,1,61] 4[0,0,1,118] 5[0,0,0,1,151] 6[0,0,0,0,1,120] 7[0,0,0,0,0,1,148] 8[0,0,0,0,0,0,1,133] 9[0,0,0,0,0,0,0,1,123] 10[0,0,0,0,0,0,0,0,1,163] 11[0,0,0,0,0,0,0,0,0,1,62] 12[0,0,0,0,0,0,0,0,0,0,1,170] 13[0,0,0,0,0,0,0,0,0,0,0,1,167] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,163] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,123] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,133] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,119] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,23] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,99] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,104] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,76] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,16] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,181] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,77]
193	2[1,116] more… 3[0,1,153] 4[0,0,1,77] 5[0,0,0,1,73] 6[0,0,0,0,1,141] 7[0,0,0,0,0,1,116] 8[0,0,0,0,0,0,1,188] 9[0,0,0,0,0,0,0,1,115] 10[0,0,0,0,0,0,0,0,1,116] 11[0,0,0,0,0,0,0,0,0,1,149] 12[0,0,0,0,0,0,1,0,0,0,0,77] 13[0,0,0,0,0,0,0,0,0,0,0,1,73] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,148] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,38] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,142] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,141] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,38] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,188] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,44] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,148] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,78] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,114] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,141]
197	2[1,122] more… 3[0,1,18] 4[0,0,1,166] 5[0,0,0,1,149] 6[0,0,0,0,1,176] 7[0,0,0,0,0,1,139] 8[0,0,0,0,0,0,1,103] 9[0,0,0,0,0,0,0,1,45] 10[0,0,0,0,0,0,0,0,1,139] 11[0,0,0,0,0,0,0,0,1,0,149] 12[0,0,0,0,0,0,0,0,0,0,1,57] 13[0,0,0,0,0,0,0,0,0,0,0,1,67] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,52] 15[0,0,0,0,0,0,0,0,0,0,0,0,1,0,115] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,66] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,166] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,48] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,122] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,103] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,139] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,152] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,185] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,18]
199	2[1,160] more… 3[0,1,41] 4[0,0,1,160] 5[0,0,0,1,6] 6[0,0,0,0,1,122] 7[0,0,0,0,0,1,3] 8[0,0,0,0,0,0,1,165] 9[0,0,0,0,0,0,0,1,163] 10[0,0,0,0,0,0,0,0,1,160] 11[0,0,0,0,0,0,0,0,0,1,99] 12[0,0,0,0,0,0,0,0,0,0,1,81] 13[0,0,0,0,0,0,0,0,0,0,0,1,84] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,81] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,120] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,84] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,160] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,71] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,50] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,166] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,91] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,48] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,128]
211	2[1,45] more… 3[0,1,133] 4[0,0,1,182] 5[0,0,0,1,207] 6[0,0,0,0,1,70] 7[0,0,0,0,0,1,158] 8[0,0,0,0,0,0,1,70] 9[0,0,0,0,0,0,0,1,75] 10[0,0,0,0,0,0,0,0,1,95] 11[0,0,0,0,0,0,0,0,0,1,75] 12[0,0,0,0,0,0,0,0,0,0,1,49] 13[0,0,0,0,0,0,0,0,0,0,0,1,187] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,95] 15[0,0,0,0,0,0,0,0,0,0,0,0,1,0,202] 16[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,37] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,164] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,163] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,91] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,9] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,133] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,93] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,133] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,136]
223	2[1,124] more… 3[0,1,20] 4[0,0,1,53] 5[0,0,0,1,176] 6[0,0,0,0,1,53] 7[0,0,0,0,0,1,129] 8[0,0,0,0,0,0,1,172] 9[0,0,0,0,0,0,0,1,214] 10[0,0,0,0,0,0,0,0,1,53] 11[0,0,0,0,0,0,0,0,0,1,92] 12[0,0,0,0,0,0,0,0,0,0,1,124] 13[0,0,0,0,0,0,0,0,0,0,0,1,123] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,181] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,149] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,121] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,77] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,63] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,44] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,148] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,123] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,201] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,35] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,200]
227	2[1,192] more… 3[0,1,18] 4[0,0,1,122] 5[0,0,0,1,105] 6[0,0,0,0,1,103] 7[0,0,0,0,0,1,67] 8[0,0,0,0,0,0,1,139] 9[0,0,0,0,0,0,0,1,140] 10[0,0,0,0,0,0,0,0,1,53] 11[0,0,0,0,0,0,0,0,0,1,105] 12[0,0,0,0,0,0,0,0,0,0,1,139] 13[0,0,0,0,0,0,0,0,0,0,0,1,137] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,225] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,140] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,207] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,224] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,92] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,50] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,87] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,140] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,84] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,171]
229	2[1,190] more… 3[0,1,23] 4[0,0,1,190] 5[0,0,0,1,73] 6[0,0,0,0,1,73] 7[0,0,0,0,0,1,190] 8[0,0,0,0,0,0,1,24] 9[0,0,0,0,0,0,0,1,200] 10[0,0,0,0,0,0,0,0,1,190] 11[0,0,0,0,0,0,0,0,0,1,72] 12[0,0,0,0,0,0,1,0,0,0,0,41] 13[0,0,0,0,0,0,0,0,0,0,0,1,23] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,219] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,162] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,67] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,116] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,164] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,206] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,190] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,50] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,155] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,72] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,200]
233	2[1,166] more… 3[0,1,198] 4[0,0,1,198] 5[0,0,0,1,166] 6[0,0,0,0,1,166] 7[0,0,0,0,0,1,223] 8[0,0,0,0,0,0,1,115] 9[0,0,0,0,0,0,0,1,150] 10[0,0,0,0,0,0,0,0,1,222] 11[0,0,0,0,0,0,0,0,0,1,93] 12[0,0,0,0,0,0,0,0,0,0,1,67] 13[0,0,0,0,0,0,0,0,0,0,0,1,185] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,198] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,185] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,172] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,166] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,206] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,93] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,223] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,73] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,95] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,115] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,134]
239	2[1,198] more… 3[0,1,53] 4[0,0,1,12] 5[0,0,0,1,86] 6[0,0,0,0,1,204] 7[0,0,0,0,0,1,146] 8[0,0,0,0,0,0,1,12] 9[0,0,0,0,0,0,0,1,97] 10[0,0,0,0,0,0,0,0,1,64] 11[0,0,0,0,0,0,0,0,0,1,119] 12[0,0,0,0,0,0,0,0,0,0,1,157] 13[0,0,0,0,0,0,0,0,0,0,0,1,86] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,157] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,212] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,125] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,209] 18[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,182] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,212] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,90] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,177] 22[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,220] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,89] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,160]
241	2[1,190] more… 3[0,1,42] 4[0,0,1,190] 5[0,0,0,1,170] 6[0,0,0,0,1,42] 7[0,0,0,0,0,1,13] 8[0,0,0,0,0,0,1,190] 9[0,0,0,0,0,0,0,1,190] 10[0,0,0,0,0,0,0,0,1,74] 11[0,0,0,0,0,0,0,0,1,0,155] 12[0,0,0,0,0,0,0,0,0,0,1,110] 13[0,0,0,0,0,0,0,0,0,0,0,1,186] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,170] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,42] 16[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,42] 17[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,110] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,7] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,170] 20[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,68] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,42] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,227] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,42] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,149]
251	2[1,225] more… 3[0,1,57] 4[0,0,1,154] 5[0,0,0,1,72] 6[1,0,0,0,0,65] 7[0,0,0,0,0,1,248] 8[0,0,0,0,0,0,1,106] 9[0,0,0,0,0,0,0,1,46] 10[0,0,0,0,0,0,0,0,1,58] 11[0,0,0,0,0,0,0,0,0,1,6] 12[0,0,0,0,0,0,0,0,0,0,1,114] 13[0,0,0,0,0,0,0,0,0,0,0,1,76] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,147] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,199] 16[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,152] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,184] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,48] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,76] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,152] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,87] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,39] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,57] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,174]
257	2[1,216] more… 3[0,1,250] 4[0,0,1,28] 5[0,0,0,1,250] 6[0,0,0,0,1,216] 7[0,0,0,0,0,1,243] 8[0,0,0,0,0,0,1,192] 9[0,0,0,0,0,0,0,1,192] 10[0,0,0,0,0,0,0,0,1,86] 11[0,0,0,0,0,0,0,0,0,1,93] 12[0,0,0,0,0,0,0,0,0,0,1,106] 13[0,0,0,0,0,0,0,0,0,0,0,1,76] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,38] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,174] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,74] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,48] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,171] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,175] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,45] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,28] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,132] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,27] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,151]
277	2[1,170] more… 3[0,1,170] 4[0,0,1,97] 5[0,0,0,1,114] 6[0,0,0,0,1,221] 7[0,0,0,0,0,1,170] 8[0,0,0,0,0,0,1,266] 9[0,0,0,0,0,0,0,1,166] 10[0,0,0,0,0,0,0,0,1,98] 11[0,0,0,0,0,0,0,0,0,1,272] 12[0,0,0,0,0,0,0,0,0,0,1,231] 13[0,0,0,0,0,0,0,0,0,0,0,1,97] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,97] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,96]
281	2[1,174] more… 3[0,1,133] 4[0,0,1,117] 5[0,0,0,1,110] 6[0,0,0,0,1,174] 7[0,0,0,0,0,1,26] 8[0,0,0,0,0,0,1,12] 9[0,0,0,0,0,0,0,1,133] 10[0,0,0,0,0,0,0,0,1,133] 11[0,0,0,0,0,0,0,0,0,1,226] 12[0,0,0,0,0,0,0,0,0,0,1,30] 13[0,0,0,0,0,0,0,0,0,0,0,1,233] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,176] 15[0,0,0,0,0,0,0,0,0,0,0,0,1,0,26]
283	2[1,174] more… 3[0,1,65] 4[0,0,1,174] 5[0,0,0,1,65] 6[0,0,0,0,1,129] 7[0,0,0,0,0,1,65] 8[0,0,0,0,0,0,1,96] 9[0,0,0,0,0,0,0,1,276] 10[0,0,0,0,0,0,0,0,1,11] 11[0,0,0,0,0,0,0,0,0,1,20] 12[0,0,0,0,0,0,0,0,0,0,1,174] 13[0,0,0,0,0,0,0,0,0,0,0,1,153] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,63] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,20]
307	2[1,65] more… 3[0,1,186] 4[0,0,1,86] 5[0,0,0,1,22] 6[0,0,0,0,1,135] 7[0,0,0,0,0,1,85] 8[0,0,0,0,0,0,1,276] 9[0,0,0,0,0,0,0,1,200] 10[0,0,0,0,0,0,0,0,1,264] 11[0,0,0,0,0,0,0,0,0,1,142] 12[0,0,0,0,0,0,0,0,0,0,1,190] 13[0,0,0,0,0,0,0,0,0,0,0,1,157] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,293] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,200]
331	2[1,77] more… 3[0,1,152] 4[0,0,1,25] 5[0,0,0,1,50] 6[1,0,0,0,0,127] 7[0,0,0,0,0,1,204] 8[0,0,0,0,0,0,1,71] 9[0,0,0,0,0,0,0,1,254] 10[0,0,0,0,0,0,0,0,1,76] 11[0,0,0,0,0,0,0,0,0,1,227] 12[0,0,0,0,0,0,1,0,0,0,0,302] 13[0,0,0,0,0,0,0,0,0,0,0,1,98] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,276] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,204]
353	2[1,329] more… 3[0,1,141] 4[0,0,1,300] 5[0,0,0,1,300] 6[0,0,0,0,1,243] 7[0,0,0,0,0,1,276] 8[0,0,0,0,0,0,1,329] 9[0,0,0,0,0,0,0,1,291] 10[0,0,0,0,0,0,0,0,1,117] 11[0,0,0,0,0,0,0,0,0,1,74] 12[0,0,0,0,0,0,0,0,0,0,1,339] 13[0,0,0,0,0,0,0,0,0,0,0,1,320] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,329] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,228]
397	2[1,242] more… 3[0,1,259] 4[0,0,1,242] 5[0,0,0,1,18] 6[0,0,0,0,1,259] 7[0,0,0,0,0,1,241] 8[0,0,0,0,0,0,1,204] 9[0,0,0,0,0,0,0,1,345] 10[0,0,0,0,0,0,0,0,1,52] 11[0,0,0,0,0,0,0,0,0,1,51] 12[0,0,0,0,0,0,0,0,0,0,1,345] 13[0,0,0,0,0,0,0,0,0,0,0,1,242] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,204] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,101]
433	2[1,19] more… 3[0,1,30] 4[0,0,1,393] 5[0,0,0,1,393] 6[0,0,0,0,1,371] 7[0,0,0,0,0,1,371] 8[0,0,0,0,0,0,1,19] 9[0,0,0,0,0,0,1,0,30] 10[0,0,0,0,0,0,0,0,1,393] 11[0,0,0,0,0,0,0,0,0,1,87] 12[0,0,0,0,0,0,0,0,0,0,1,341] 13[0,0,0,0,0,0,0,0,0,0,0,1,226] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,188] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,326]
457	2[1,388] more… 3[0,1,388] 4[0,0,1,90] 5[0,0,0,1,213] 6[0,0,0,0,1,319] 7[0,0,0,0,0,1,149] 8[0,0,0,0,0,0,1,154] 9[0,0,0,0,0,0,0,1,159] 10[0,0,0,0,0,0,0,0,1,181] 11[0,0,0,0,0,0,0,0,0,1,164] 12[0,0,0,0,0,0,0,0,0,0,1,154] 13[0,0,0,0,0,0,0,0,0,0,1,0,154] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,122] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,388]
509	2[1,160] more… 3[0,1,119] 4[0,0,1,42] 5[0,0,0,1,201] 6[0,0,0,0,1,206] 7[0,0,0,0,0,1,165] 8[0,0,0,0,0,0,1,160] 9[0,0,0,0,0,0,0,1,437] 10[0,0,0,0,0,0,0,0,1,119] 11[0,0,0,0,0,0,0,0,0,1,288] 12[0,0,0,0,0,0,0,0,0,0,1,360] 13[0,0,0,0,0,0,0,0,0,0,0,1,42] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,462] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,119] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,478] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,360] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,501] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,432] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,88] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,165] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,201] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,461] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,377]
521	2[1,444] more… 3[0,1,335] 4[0,0,1,303] 5[0,0,0,1,367] 6[0,0,0,0,1,444] 7[0,0,0,0,0,1,412] 8[0,0,0,0,0,0,1,444] 9[0,0,0,0,0,0,0,1,406] 10[0,0,0,0,0,0,0,0,1,406] 11[0,0,0,0,0,0,0,0,0,1,406] 12[0,0,0,0,0,0,0,0,0,0,1,156] 13[0,0,0,0,0,0,0,0,0,0,0,1,239] 14[0,0,0,0,0,0,0,0,0,0,1,0,0,483] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,329] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,425] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,335] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,453] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,303] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,515] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,412] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,387] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,348] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,85]
571	2[1,478] more… 3[0,1,292] 4[0,0,1,211] 5[0,0,0,1,292] 6[0,0,0,0,1,199] 7[0,0,0,0,0,1,246] 8[0,0,0,0,0,0,1,199] 9[0,0,0,0,0,0,0,1,327] 10[0,0,0,0,0,0,0,0,1,467] 11[0,0,0,0,0,0,0,0,0,1,292] 12[0,0,0,0,0,0,0,0,0,0,1,25] 13[0,0,0,0,0,0,0,0,0,0,0,1,479] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,525] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,327]
641	2[1,540] more… 3[0,1,394] 4[0,0,1,439] 5[0,0,0,1,394] 6[0,0,0,0,1,147] 7[0,0,0,0,0,1,92] 8[0,0,0,0,0,0,1,394] 9[0,0,0,0,0,0,0,1,563] 10[0,0,0,0,0,0,0,0,1,294] 11[0,0,0,0,0,0,0,0,0,1,170] 12[0,0,0,0,0,0,0,0,0,0,1,238] 13[0,0,0,0,0,0,0,0,0,0,0,1,509] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,418] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,540]
673	2[1,475] more… 3[0,1,376] 4[0,0,1,60] 5[0,0,0,1,119] 6[0,0,0,0,1,513] 7[0,0,0,0,0,1,475] 8[0,0,0,0,1,0,0,119] 9[0,0,0,0,0,0,0,1,354] 10[0,0,0,0,0,0,0,0,1,475] 11[0,0,0,0,0,0,0,0,0,1,435] 12[0,0,0,0,0,0,0,0,0,0,1,574] 13[0,0,0,0,0,0,0,0,0,0,0,1,574] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,629] 15[0,0,0,0,0,0,0,0,0,0,0,0,1,0,574]
683	2[1,397] more… 3[0,1,422] 4[0,0,1,10] 5[0,0,0,1,279] 6[0,0,0,0,1,599] 7[0,0,0,0,0,1,540] 8[0,0,0,0,0,0,1,220] 9[0,0,0,0,0,0,0,1,18] 10[0,0,0,0,0,0,0,0,1,10] 11[0,0,0,0,0,0,0,0,0,1,439] 12[0,0,0,0,0,0,1,0,0,0,0,642] 13[0,0,0,0,0,0,0,0,0,0,0,1,338] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,549] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,145]
953	2[1,539] more… 3[0,1,80] 4[0,0,1,667] 5[0,0,0,1,810] 6[0,0,0,0,1,746] 7[0,0,0,0,0,1,80] 8[0,0,0,0,0,0,1,174] 9[0,0,0,0,0,0,0,1,204] 10[0,0,0,0,0,0,0,0,1,810] 11[0,0,0,0,0,0,0,0,0,1,588] 12[0,0,0,0,0,0,0,0,0,0,1,761] 13[0,0,0,0,0,0,0,0,0,0,0,1,746] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,102] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,588]
1013	2[1,357] more… 3[0,1,239] 4[0,0,1,386] 5[0,0,0,1,326] 6[0,0,0,0,1,862] 7[0,0,0,0,0,1,179] 8[0,0,0,0,0,0,1,922] 9[0,0,0,0,0,0,0,1,179] 10[0,0,0,0,0,0,0,0,1,30] 11[0,0,0,0,0,0,0,0,0,1,357] 12[0,0,0,0,0,0,1,0,0,0,0,980] 13[0,0,0,0,0,0,0,0,0,0,0,1,980] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,179] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,59]
1021	2[1,337] more… 3[0,1,337] 4[0,0,1,337] 5[0,0,0,1,282] 6[0,0,0,0,1,899] 7[0,0,0,0,0,1,282] 8[0,0,0,0,0,0,1,734] 9[0,0,0,0,0,0,0,1,166] 10[0,0,0,0,0,0,0,0,1,734] 11[0,0,0,0,0,0,0,0,0,1,50] 12[0,0,0,0,0,0,0,0,0,0,1,337] 13[0,0,0,0,0,0,0,0,0,0,0,1,111] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,429] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,246] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,734] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,160] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,50] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,270] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,270] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,111] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,231] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,160]
1031	2[1,473] more… 3[0,1,1020] 4[0,0,1,870] 5[0,0,0,1,634] 6[0,0,0,0,1,473] 7[0,0,0,0,0,1,601] 8[0,0,0,0,0,0,1,129] 9[0,0,0,0,0,0,0,1,301] 10[0,0,0,0,0,0,0,0,1,870] 11[0,0,0,0,0,0,0,0,0,1,634] 12[0,0,0,0,0,0,0,0,0,0,1,621] 13[0,0,0,0,0,0,0,0,0,0,0,1,451] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,460] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,301] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,864] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,773] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,138] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,118] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,848] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,237] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,736] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,837] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4]
1321	2[1,398] more… 3[0,1,398] 4[0,0,1,1114] 5[0,0,0,1,398] 6[0,0,0,0,1,493] 7[0,0,0,0,0,1,873] 8[0,0,0,0,0,0,1,1175] 9[0,0,0,0,0,0,0,1,883] 10[0,0,0,0,0,0,0,0,1,191] 11[0,0,0,0,0,0,0,0,0,1,65] 12[0,0,0,0,0,0,0,0,0,0,1,191] 13[0,0,0,0,0,0,0,0,0,0,0,1,1175] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,1114] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,883]
1429	2[1,669] more… 3[0,1,485] 4[0,0,1,848] 5[0,0,0,1,485] 6[0,0,0,0,1,882] 7[0,0,0,0,0,1,882] 8[0,0,0,0,0,0,1,422] 9[0,0,0,0,0,0,0,1,630] 10[0,0,0,0,0,0,0,0,1,1003] 11[0,0,0,0,0,0,0,0,0,1,238] 12[0,0,0,0,0,0,0,0,0,0,1,485] 13[0,0,0,0,0,0,0,0,0,0,0,1,30] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,422] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,940]
1613	2[1,518] more… 3[0,1,1374] 4[0,0,1,696] 5[0,0,0,1,996] 6[0,0,0,0,1,518] 7[0,0,0,0,0,1,1035] 8[0,0,0,0,0,0,1,974] 9[0,0,0,0,0,0,0,1,318] 10[0,0,0,0,0,0,0,0,1,1430] 11[0,0,0,0,0,0,0,0,0,1,396] 12[0,0,0,0,0,0,0,0,0,0,1,218] 13[0,0,0,0,0,0,0,0,0,0,0,1,557] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,657] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,996]
1657	2[1,1408] more… 3[0,1,524] 4[0,0,1,624] 5[0,0,0,1,275] 6[0,0,0,0,1,1321] 7[0,0,0,0,0,1,1184] 8[0,0,0,0,0,0,1,1222] 9[0,0,0,0,0,0,0,1,524] 10[0,0,0,0,0,0,0,0,1,1408] 11[0,0,0,0,0,0,0,0,0,1,848] 12[0,0,0,0,0,0,0,0,0,0,1,301] 13[0,0,0,0,0,0,0,0,0,0,0,1,238] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,275] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,823]
1777	2[1,158] more… 3[0,1,1516] 4[0,0,1,158] 5[0,0,0,1,1255] 6[0,0,0,0,1,1255] 7[0,0,0,0,0,1,107] 8[0,0,0,0,0,0,1,1100] 9[0,0,0,0,0,0,0,1,1047] 10[0,0,0,0,0,0,0,0,1,1412] 11[0,0,0,0,0,0,0,0,0,1,1412] 12[0,0,0,0,0,0,0,0,0,0,1,1255] 13[0,0,0,0,0,0,0,0,0,0,0,1,158] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,1428] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,1255]
2039	2[1,961] more… 3[0,1,1260] 4[0,0,1,64] 5[0,0,0,1,1622] 6[0,0,0,0,1,1441] 7[0,0,0,0,0,1,481] 8[0,0,0,0,0,0,1,544] 9[0,0,0,0,0,0,0,1,1504] 10[0,0,0,0,0,0,0,0,1,741] 11[0,0,0,0,0,0,0,0,0,1,371] 12[0,0,0,0,0,0,0,0,0,0,1,725] 13[0,0,0,0,0,0,0,0,0,0,0,1,1095] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,851] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,1260] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,733] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1504] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1087] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,678] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1441] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1622] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1520] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,505]
2053	2[1,1447] more… 3[0,1,662] 4[0,0,1,1736] 5[0,0,0,1,896] 6[0,0,0,0,1,111] 7[0,0,0,0,0,1,111] 8[0,0,0,0,0,0,1,662] 9[0,0,0,0,0,0,0,1,896] 10[0,0,0,0,0,0,0,0,1,579] 11[0,0,0,0,0,0,0,0,0,1,896] 12[0,0,0,0,0,0,0,0,0,0,1,1915] 13[0,0,0,0,0,0,0,0,0,0,0,1,1433] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,1598] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,1309] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,744] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1805] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1020] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,662] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,606] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1859] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1568] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1075]
2113	2[1,989] more… 3[0,1,1347] 4[0,0,1,180] 5[0,0,0,1,1347] 6[0,0,0,0,1,989] 7[0,0,0,0,0,1,1977] 8[0,0,0,0,0,0,1,667] 9[0,0,0,0,0,0,0,1,180] 10[0,0,0,0,0,0,0,0,1,1841] 11[0,0,0,0,0,0,0,0,0,1,982] 12[0,0,0,0,0,0,0,0,0,0,1,1841] 13[0,0,0,0,0,0,0,0,0,0,0,1,896] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,989] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,180]
2731	2[1,14] more… 3[0,1,1682] 4[0,0,1,1076] 5[0,0,0,1,2125] 6[0,0,0,0,1,861] 7[0,0,0,0,0,1,2151] 8[0,0,0,0,0,0,1,1662] 9[0,0,0,0,0,0,0,1,1708] 10[0,0,0,0,0,0,0,0,1,496] 11[0,0,0,0,0,0,0,0,0,1,1825] 12[0,0,0,0,0,0,0,0,0,0,1,14] 13[0,0,0,0,0,0,0,0,0,0,0,1,509] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,861] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,457]
2833	2[1,1748] more… 3[0,1,1748] 4[0,0,1,663] 5[0,0,0,1,1748] 6[0,0,0,0,1,1748] 7[0,0,0,0,0,1,1380] 8[0,0,0,0,0,0,1,2205] 9[0,0,0,0,0,0,0,1,1748] 10[0,0,0,0,0,0,0,0,1,2042] 11[0,0,0,0,0,0,0,0,0,1,295] 12[0,0,0,0,0,0,0,0,0,0,1,295] 13[0,0,0,0,0,0,0,0,0,0,0,1,809] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,2408] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,644]
2857	2[1,932] more… 3[0,1,1349] 4[0,0,1,966] 5[0,0,0,1,1863] 6[0,0,0,0,1,869] 7[0,0,0,0,0,1,1863] 8[0,0,0,0,0,0,1,1543] 9[0,0,0,0,0,0,0,1,869] 10[0,0,0,0,0,0,0,0,1,1543] 11[0,0,0,0,0,0,0,0,0,1,1805] 12[0,0,0,0,0,0,0,0,0,0,1,2828] 13[0,0,0,0,0,0,0,0,0,0,0,1,292] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,2765] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,2091]
2971	2[1,1385] more… 3[0,1,246] 4[0,0,1,1385] 5[0,0,0,1,577] 6[0,0,0,0,1,1312] 7[0,0,0,0,0,1,2176] 8[0,0,0,0,0,0,1,332] 9[0,0,0,0,0,0,0,1,2610] 10[0,0,0,0,0,0,0,0,1,388] 11[0,0,0,0,0,0,0,0,0,1,1428] 12[0,0,0,0,0,0,0,0,0,0,1,332] 13[0,0,0,0,0,0,0,0,0,0,0,1,762] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,534] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,1686]
4051	2[1,1913] more… 3[0,1,3460] 4[0,0,1,2869] 5[0,0,0,1,2504] 6[0,0,0,0,1,2869] 7[0,0,0,0,0,1,3877] 8[0,0,0,0,0,0,1,140] 9[0,0,0,0,0,0,0,1,1687] 10[0,0,0,0,0,0,0,0,1,957] 11[0,0,0,0,0,0,0,0,0,1,2921] 12[0,0,0,0,0,0,0,0,0,0,1,366] 13[0,0,0,0,0,0,0,0,0,0,0,1,418] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,2869] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,974]
4093	2[1,2528] more… 3[0,1,2528] 4[0,0,1,2528] 5[0,0,0,1,2528] 6[0,0,0,0,1,2643] 7[0,0,0,0,0,1,3849] 8[0,0,0,0,0,0,1,3089] 9[0,0,0,0,0,0,0,1,2528] 10[0,0,0,0,0,0,0,0,1,1925] 11[0,0,0,0,0,0,0,0,0,1,1796] 12[0,0,0,0,0,0,0,0,0,0,1,1437] 13[0,0,0,0,0,0,0,0,0,0,0,1,3849] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,1796] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,3577] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3347] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2643] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2528] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2528] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,907] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,102] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1555] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2705]
4099	2[1,1326] more… 3[0,1,1687] 4[0,0,1,1326] 5[0,0,0,1,362] 6[0,0,0,0,1,2893] 7[0,0,0,0,0,1,3250] 8[0,0,0,0,0,0,1,1560] 9[0,0,0,0,0,0,0,1,1441] 10[0,0,0,0,0,0,0,0,1,1929] 11[0,0,0,0,0,0,0,0,0,1,4095] 12[0,0,0,0,0,0,0,0,0,0,1,961] 13[0,0,0,0,0,0,0,0,0,0,0,1,1679] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,2651] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,2036] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2651] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3837] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,596] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3837] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2381] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1925] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2988] 23[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,719] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2651]
5153	2[1,919] more… 3[0,1,3347] 4[0,0,1,919] 5[0,0,0,1,919] 6[0,0,0,0,1,2429] 7[0,0,0,0,0,1,2133] 8[0,0,0,0,0,0,1,1082] 9[0,0,0,0,0,0,0,1,919] 10[0,0,0,0,0,0,0,0,1,3171] 11[0,0,0,0,0,0,0,0,0,1,3347] 12[0,0,0,0,0,0,0,0,0,0,1,4265] 13[0,0,0,0,0,0,0,0,0,0,0,1,2296] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,1541] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,4385]
5419	2[1,1758] more… 3[0,1,1277] 4[0,0,1,1758] 5[0,0,0,1,168] 6[0,0,0,0,1,3849] 7[0,0,0,0,0,1,502] 8[0,0,0,0,0,0,1,4537] 9[0,0,0,0,0,0,0,1,2720] 10[0,0,0,0,0,0,0,0,1,1444] 11[0,0,0,0,0,0,0,0,0,1,542] 12[0,0,0,0,0,0,0,0,0,0,1,5312] 13[0,0,0,0,0,0,0,0,0,0,0,1,1317] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,4537] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,5125]
5581	2[1,3919] more… 3[0,1,3919] 4[0,0,1,2732] 5[0,0,0,1,3919] 6[0,0,0,0,1,2732] 7[0,0,0,0,0,1,595] 8[0,0,0,0,0,0,1,4513] 9[0,0,0,0,0,0,0,1,3919] 10[0,0,0,0,0,0,0,0,1,3563] 11[0,0,0,0,0,0,0,0,0,1,5108] 12[0,0,0,0,0,0,0,0,0,0,1,2020] 13[0,0,0,0,0,0,0,0,0,0,0,1,4159] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,4513] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,3919]
6529	2[1,2701] more… 3[0,1,5572] 4[0,0,1,1744] 5[0,0,0,1,1949] 6[0,0,0,0,1,1539] 7[0,0,0,0,0,1,787] 8[0,0,0,0,0,0,1,1368] 9[0,0,0,0,0,0,0,1,1368] 10[0,0,0,0,0,0,0,0,1,3760] 11[0,0,0,0,0,0,0,0,0,1,2154] 12[0,0,0,0,0,0,0,0,0,0,1,4649] 13[0,0,0,0,0,0,0,0,0,0,0,1,1539] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,1368] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,2154]
8101	2[1,3813] more… 3[0,1,3813] 4[0,0,1,5004] 5[0,0,0,1,3813] 6[0,0,0,0,1,4528] 7[0,0,0,0,0,1,3813] 8[0,0,0,0,0,0,1,1670] 9[0,0,0,0,0,0,0,1,5484] 10[0,0,0,0,0,0,0,0,1,4291] 11[0,0,0,0,0,0,0,0,0,1,5004] 12[0,0,0,0,0,0,0,0,0,0,1,5265] 13[0,0,0,0,0,0,0,0,0,0,0,1,3813] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,2150] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,5008]
8191	2[1,973] more… 3[0,1,6988] 4[0,0,1,4845] 5[0,0,0,1,726] 6[0,0,0,0,1,2654] 7[0,0,0,0,0,1,1236] 8[0,0,0,0,0,0,1,2654] 9[0,0,0,0,0,0,0,1,3857] 10[0,0,0,0,0,0,0,0,1,527] 11[0,0,0,0,0,0,0,0,0,1,1220] 12[0,0,0,0,0,0,0,0,0,0,1,2654] 13[0,0,0,0,0,0,0,0,0,0,0,1,2439] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,4415] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,5076] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2551] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1220] 18[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5554] 19[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,7004] 20[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5554] 21[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,264] 22[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,527] 24[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1730]
8209	2[1,3869] more… 3[0,1,7006] 4[0,0,1,7006] 5[0,0,0,1,1463] 6[0,0,0,0,1,7737] 7[0,0,0,0,0,1,5072] 8[0,0,0,0,0,0,1,6246] 9[0,0,0,0,0,0,0,1,1463] 10[0,0,0,0,0,0,0,0,1,3397] 11[0,0,0,0,0,0,0,0,0,1,3397] 12[0,0,0,0,0,0,0,0,0,0,1,991] 13[0,0,0,0,0,0,0,0,0,0,0,1,4387] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,5941] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,185] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,7495] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5072]
8681	2[1,5362] more… 3[0,1,5362] 4[0,0,1,7910] 5[0,0,0,1,7404] 6[0,0,0,0,1,7404] 7[0,0,0,0,0,1,2037] 8[0,0,0,0,0,0,1,7910] 9[0,0,0,0,0,0,0,1,6886] 10[0,0,0,0,0,0,0,0,1,3573] 11[0,0,0,0,0,0,0,0,0,1,4326] 12[0,0,0,0,0,0,0,0,0,0,1,254] 13[0,0,0,0,0,0,0,0,0,0,0,1,6127] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,4826] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,3573]
14449	2[1,3411] more… 3[0,1,1302] 4[0,0,1,8930] 5[0,0,0,1,1302] 6[0,0,0,0,1,987] 7[0,0,0,0,0,1,12340] 8[0,0,0,0,0,0,1,7670] 9[0,0,0,0,0,0,0,1,3411] 10[0,0,0,0,0,0,0,0,1,5068] 11[0,0,0,0,0,0,0,0,0,1,6506] 12[0,0,0,0,0,0,0,0,0,0,1,8478] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,8930] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,5876]
16381	2[1,15465] more… 3[0,1,15465] 4[0,0,1,15465] 5[0,0,0,1,8292] 6[0,0,0,0,1,9410] 7[0,0,0,0,0,1,11599] 8[0,0,0,0,0,0,1,964] 9[0,0,0,0,0,0,0,1,16024] 10[0,0,0,0,0,0,0,0,1,13276] 11[0,0,0,0,0,0,0,0,0,1,15202] 12[0,0,0,0,0,0,0,0,0,0,1,10420] 13[0,0,0,0,0,0,0,0,0,0,0,1,2641] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,9969] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,11599] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,10063] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,8898]
16411	2[1,4426] more… 3[0,1,7745] 4[0,0,1,8298] 5[0,0,0,1,11248] 6[0,0,0,0,1,8298] 7[0,0,0,0,0,1,7745] 8[0,0,0,0,0,0,1,5532] 9[0,0,0,0,0,0,0,1,9957] 10[0,0,0,0,0,0,0,0,1,554] 11[0,0,0,0,0,0,0,0,0,1,7745] 12[0,0,0,0,0,0,0,0,0,0,1,3504] 13[0,0,0,0,0,0,0,0,0,0,0,1,8851] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,5347] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,1106] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,7929] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1106]
20857	2[1,14767] more… 3[0,1,2587] 4[0,0,1,1419] 5[0,0,0,1,12890] 6[0,0,0,0,1,4923] 7[0,0,0,0,0,1,11722] 8[0,0,0,0,0,0,1,18521] 9[0,0,0,0,0,0,0,1,14767] 10[0,0,0,0,0,0,0,0,1,12890] 11[0,0,0,0,0,0,0,0,0,1,11722] 12[0,0,0,0,0,0,0,0,0,0,1,3296] 13[0,0,0,0,0,0,0,0,0,0,0,1,14767] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,9386]
26317	2[1,6207] more… 3[0,1,13278] 4[0,0,1,13278] 5[0,0,0,1,6207] 6[0,0,0,0,1,21928] 7[0,0,0,0,0,1,10921] 8[0,0,0,0,0,0,1,10143] 9[0,0,0,0,0,0,0,1,18468] 10[0,0,0,0,0,0,0,0,1,24825] 11[0,0,0,0,0,0,0,0,0,1,8802] 12[0,0,0,0,0,0,0,0,0,0,1,866] 13[0,0,0,0,0,0,0,0,0,0,0,1,11786] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,1104] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,24825]
30269	2[1,20748] more… 3[0,1,26869] 4[0,0,1,24148] 5[0,0,0,1,14627] 6[0,0,0,0,1,2722] 7[0,0,0,0,0,1,15306] 8[0,0,0,0,0,0,1,10206] 9[0,0,0,0,0,0,0,1,2722] 10[0,0,0,0,0,0,0,0,1,21095] 11[0,0,0,0,0,0,0,0,0,1,26874] 12[0,0,0,0,0,0,0,0,0,0,1,22453] 13[0,0,0,0,0,0,0,0,0,0,0,1,21427] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,22453] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,29590]
32749	2[1,15461] more… 3[0,1,23191] 4[0,0,1,9272] 5[0,0,0,1,15461] 6[0,0,0,0,1,7731] 7[0,0,0,0,0,1,12928] 8[0,0,0,0,0,0,1,9272] 9[0,0,0,0,0,0,0,1,15461] 10[0,0,0,0,0,0,0,0,1,12928] 11[0,0,0,0,0,0,0,0,0,1,11805] 12[0,0,0,0,0,0,0,0,0,0,1,19092] 13[0,0,0,0,0,0,0,0,0,0,0,1,11805] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,8149] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,30765] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,20789] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,7731]
32771	2[1,27984] more… 3[0,1,20252] 4[0,0,1,8836] 5[0,0,0,1,32032] 6[0,0,0,0,1,6994] 7[0,0,0,0,0,1,2946] 8[0,0,0,0,0,0,1,16932] 9[0,0,0,0,0,0,0,1,20616] 10[0,0,0,0,0,0,0,0,1,2196] 11[0,0,0,0,0,0,0,0,0,1,16568] 12[0,0,0,0,0,0,0,0,0,0,1,8461] 13[0,0,0,0,0,0,0,0,0,0,0,1,4049] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,17671] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,27609] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,11395] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,16921]
37171	2[1,31738] more… 3[0,1,29640] 4[0,0,1,8769] 5[0,0,0,1,22970] 6[0,0,0,0,1,8769] 7[0,0,0,0,0,1,13341] 8[0,0,0,0,0,0,1,8769] 9[0,0,0,0,0,0,0,1,34212] 10[0,0,0,0,0,0,0,0,1,31738] 11[0,0,0,0,0,0,0,0,0,1,20011] 12[0,0,0,0,0,0,0,0,0,0,1,8769] 13[0,0,0,0,0,0,0,0,0,0,0,1,24207] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,17537] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,18774]
38737	2[1,27427] more… 3[0,1,3488] 4[0,0,1,27427] 5[0,0,0,1,12630] 6[0,0,0,0,1,27427] 7[0,0,0,0,0,1,3488] 8[0,0,0,0,0,0,1,31005] 9[0,0,0,0,0,0,0,1,21393] 10[0,0,0,0,0,0,0,0,1,9143] 11[0,0,0,0,0,0,0,0,0,1,27427] 12[0,0,0,0,0,0,0,0,0,0,1,28458] 13[0,0,0,0,0,0,0,0,0,0,0,1,10174] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,30065] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,17436]
43691	2[1,28495] more… 3[0,1,37314] 4[0,0,1,2987] 5[0,0,0,1,7871] 6[0,0,0,0,1,37858] 7[0,0,0,0,0,1,18183] 8[0,0,0,0,0,0,1,22118] 9[0,0,0,0,0,0,0,1,42337] 10[0,0,0,0,0,0,0,0,1,30937] 11[0,0,0,0,0,0,0,0,0,1,26053] 12[0,0,0,0,0,0,0,0,0,0,1,4075] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,22257] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,29178]
49477	2[1,1694] more… 3[0,1,26743] 4[0,0,1,47957] 5[0,0,0,1,1694] 6[0,0,0,0,1,16136] 7[0,0,0,0,0,1,19522] 8[0,0,0,0,0,0,1,1245] 9[0,0,0,0,0,0,0,1,16758] 10[0,0,0,0,0,0,0,0,1,46886] 11[0,0,0,0,0,0,0,0,0,1,47957] 12[0,0,0,0,0,0,0,0,0,0,1,31822] 13[0,0,0,0,0,0,0,0,0,0,0,1,7844] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,44571] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,45642]
61681	2[1,5556] more… 3[0,1,7663] 4[0,0,1,34672] 5[0,0,0,1,34672] 6[0,0,0,0,1,7663] 7[0,0,0,0,0,1,49230] 8[0,0,0,0,0,0,1,5556] 9[0,0,0,0,0,0,0,1,10918] 10[0,0,0,0,0,0,0,0,1,7663] 11[0,0,0,0,0,0,0,0,0,1,27776] 12[0,0,0,0,0,0,0,0,0,0,1,53444] 13[0,0,0,0,0,0,0,0,0,0,0,1,11111] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,49996]
65521	2[1,61865] more… 3[0,1,21372] 4[0,0,1,21372] 5[0,0,0,1,61865] 6[0,0,0,0,1,18558] 7[0,0,0,0,0,1,7590] 8[0,0,0,0,0,0,1,55960] 9[0,0,0,0,0,0,0,1,43585] 10[0,0,0,0,0,0,0,0,1,19400] 11[0,0,0,0,0,0,0,0,0,1,555] 12[0,0,0,0,0,0,0,0,0,0,1,18558] 13[0,0,0,0,0,0,0,0,0,0,0,1,48648] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,555] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,39929] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,6748] 17[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,8432]
65537	2[1,21378] more… 3[0,1,21378] 4[0,0,1,8159] 5[0,0,0,1,61881] 6[0,0,0,0,1,33192] 7[0,0,0,0,0,1,21378] 8[0,0,0,0,0,0,1,42196] 9[0,0,0,0,0,0,0,1,31787] 10[0,0,0,0,0,0,0,0,1,17722] 11[0,0,0,0,0,0,0,0,0,1,61881] 12[0,0,0,0,0,0,0,0,0,0,1,61881] 13[0,0,0,0,0,0,0,0,0,0,0,1,61881] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,58225] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,4503] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2252]
86171	2[1,7756] more… 3[0,1,35847] 4[0,0,1,2930] 5[0,0,0,1,63938] 6[0,0,0,0,1,33950] 7[0,0,0,0,0,1,18440] 8[0,0,0,0,0,0,1,29124] 9[0,0,0,0,0,0,0,1,71693] 10[0,0,0,0,0,0,0,0,1,53254] 11[0,0,0,0,0,0,0,0,0,1,56183] 12[0,0,0,0,0,0,0,0,0,0,1,7756] 13[0,0,0,0,0,0,0,0,0,0,0,1,63938] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,5161] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,56183]
87211	2[1,36295] more… 3[0,1,61753] 4[0,0,1,75570] 5[0,0,0,1,15711] 6[0,0,0,0,1,56879] 7[0,0,0,0,0,1,13013] 8[0,0,0,0,0,0,1,80444] 9[0,0,0,0,0,0,0,1,45238] 10[0,0,0,0,0,0,0,0,1,284] 12[0,0,0,0,0,0,0,0,0,0,1,56074] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,36295] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,46087]
131071	2[1,73660] more… 3[0,1,89908] 4[0,0,1,23591] 5[0,0,0,1,120840] 6[0,0,0,0,1,73660] 7[0,0,0,0,0,1,113498] 8[0,0,0,0,0,0,1,73660] 9[0,0,0,0,0,0,0,1,11796] 10[0,0,0,0,0,0,0,0,1,125293] 11[0,0,0,0,0,0,0,0,0,1,109284] 12[0,0,0,0,0,0,0,0,0,0,1,16249] 13[0,0,0,0,0,0,0,0,0,0,0,1,35386] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,87019] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,97250] 16[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,16249]
174763	2[1,165009] more… 3[0,1,129752] 4[0,0,1,114003] 5[0,0,0,1,82505] 6[0,0,0,0,1,165009] 7[0,0,0,0,0,1,102726] 8[0,0,0,0,0,0,1,17986] 9[0,0,0,0,0,0,0,1,145501] 10[0,0,0,0,0,0,0,0,1,86977] 11[0,0,0,0,0,0,0,0,0,1,98254] 12[0,0,0,0,0,0,0,0,0,0,1,149260] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,86977] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,14227]
246241	2[1,152184] more… 3[0,1,152184] 4[0,0,1,52850] 5[0,0,0,1,182838] 6[0,0,0,0,1,155366] 7[0,0,0,0,0,1,155366] 8[0,0,0,0,0,0,1,244146] 9[0,0,0,0,0,0,0,1,52850] 10[0,0,0,0,0,0,0,0,1,64491] 11[0,0,0,0,0,0,0,0,0,1,160643] 12[0,0,0,0,0,0,0,0,0,0,1,38106] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,169102]
268501	2[1,48411] more… 3[0,1,48411] 4[0,0,1,135998] 5[0,0,0,1,126765] 6[0,0,0,0,1,18467] 7[0,0,0,0,0,1,57644] 8[0,0,0,0,0,0,1,126765] 9[0,0,0,0,0,0,0,1,21961] 10[0,0,0,0,0,0,0,0,1,150970] 11[0,0,0,0,0,0,0,0,0,1,47415] 12[0,0,0,0,0,0,0,0,0,0,1,48411] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,139492]
279073	2[1,156916] more… 3[0,1,207234] 4[0,0,1,207234] 5[0,0,0,1,156916] 6[0,0,0,0,1,34759] 7[0,0,0,0,0,1,38397] 8[0,0,0,0,0,0,1,119835] 9[0,0,0,0,0,0,0,1,59918] 10[0,0,0,0,0,0,0,0,1,119835] 11[0,0,0,0,0,0,0,0,0,1,238354] 12[0,0,0,0,0,0,0,0,0,0,1,98314] 13[0,0,0,0,0,0,0,0,0,0,0,1,116197] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,38397]
384773	2[1,328626] more… 3[0,1,69359] 4[0,0,1,160185] 5[0,0,0,1,34680] 6[0,0,0,0,1,242754] 7[0,0,0,0,0,1,341837] 8[0,0,0,0,0,0,1,61102] 9[0,0,0,0,0,0,0,1,13212] 10[0,0,0,0,0,0,0,0,1,307158] 11[0,0,0,0,0,0,0,0,0,1,186607] 12[0,0,0,0,0,0,0,0,0,0,1,320369] 13[0,0,0,0,0,0,0,0,0,0,0,1,34680] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,381470] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,277433]
525313	2[1,94719] more… 3[0,1,94719] 4[0,0,1,101573] 5[0,0,0,1,248013] 6[0,0,0,0,1,349585] 7[0,0,0,0,0,1,248013] 8[0,0,0,0,0,0,1,338368] 9[0,0,0,0,0,0,0,1,514096] 10[0,0,0,0,0,0,0,0,1,248013] 11[0,0,0,0,0,0,0,0,0,1,514096] 12[0,0,0,0,0,0,0,0,0,0,1,419378] 13[0,0,0,0,0,0,0,0,0,0,0,1,101573] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,342731]
858001	2[1,279912] more… 3[0,1,279912] 4[0,0,1,4298] 5[0,0,0,1,272927] 6[0,0,0,0,1,600654] 7[0,0,0,0,0,1,534571] 8[0,0,0,0,0,0,1,600654] 9[0,0,0,0,0,0,0,1,600654] 10[0,0,0,0,0,0,0,0,1,4298] 12[0,0,0,0,0,0,0,0,0,0,1,343307] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,104227]
2796203	2[1,326229] more… 3[0,1,1980277] 4[0,0,1,1320185] 5[0,0,0,1,912222] 6[0,0,0,0,1,1320185] 7[0,0,0,0,0,1,1980277] 8[0,0,0,0,0,0,1,2269162] 9[0,0,0,0,0,0,0,1,385181] 11[0,0,0,0,0,0,0,0,0,1,1980277] 12[0,0,0,0,0,0,0,0,0,0,1,1623043]
3033169	2[1,472131] more… 3[0,1,1979043] 4[0,0,1,1680785] 5[0,0,0,1,2968564] 6[0,0,0,0,1,104444] 7[0,0,0,0,0,1,1874600] 8[0,0,0,0,0,0,1,546983] 9[0,0,0,0,0,0,0,1,1874600] 10[0,0,0,0,0,0,0,0,1,2123324] 11[0,0,0,0,0,0,0,0,0,1,2864121] 12[0,0,0,0,0,0,0,0,0,0,1,1133803]
6700417	2[1,236066] more… 3[0,1,1812472] 4[0,0,1,230726] 5[0,0,0,1,6557710] 6[0,0,0,0,1,2185904] 7[0,0,0,0,0,1,2273922] 8[0,0,0,0,0,0,1,1153626] 9[0,0,0,0,0,0,0,1,2273922] 10[0,0,0,0,0,0,0,0,1,2185904] 11[0,0,0,0,0,0,0,0,0,1,2273922] 12[0,0,0,0,0,0,0,0,0,0,1,2373909]
15790321	2[1,652457] more… 3[0,1,543830] 4[0,0,1,13358075] 5[0,0,0,1,3391440] 6[0,0,0,0,1,14238051] 7[0,0,0,0,0,1,14574198] 8[0,0,0,0,0,0,1,6239050] 9[0,0,0,0,0,0,0,1,15325709] 10[0,0,0,0,0,0,0,0,1,8622048] 12[0,0,0,0,0,0,0,0,0,0,1,543830] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,6239050]
18837001	2[1,742620] more… 3[0,1,10592110] 4[0,0,1,1698506] 5[0,0,0,1,12290615] 6[0,0,0,0,1,11889536] 7[0,0,0,0,0,1,4293358] 8[0,0,0,0,0,0,1,8091447] 12[0,0,0,0,0,0,0,0,0,0,1,5744229]
22253377	2[1,326229] more… 3[0,1,2299198] 4[0,0,1,6019702] 5[0,0,0,1,12805802] 6[0,0,0,0,1,11273004] 7[0,0,0,0,0,1,12805802] 8[0,0,0,0,0,0,1,10032836] 9[0,0,0,0,0,0,0,1,6019702] 10[0,0,0,0,0,0,0,0,1,9851697] 12[0,0,0,0,0,0,0,0,0,0,1,3539366] 13[0,0,0,0,0,0,0,0,0,0,0,1,19118133] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,19410763] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,20832070]
22366891	2[1,472131] more… 3[0,1,13823498] 4[0,0,1,10560209] 5[0,0,0,1,9313735] 6[0,0,0,0,1,16610654] 7[0,0,0,0,0,1,7296920] 8[0,0,0,0,0,0,1,3375573] 9[0,0,0,0,0,0,0,1,14117706] 10[0,0,0,0,0,0,0,0,1,14706122] 12[0,0,0,0,0,0,0,0,0,0,1,5868521]
25781083	2[1,708196] more… 3[0,1,2324670] 4[0,0,1,15933584] 5[0,0,0,1,6086085] 6[0,0,0,0,1,8749854] 7[0,0,0,0,0,1,21261122] 8[0,0,0,0,0,0,1,22358768] 9[0,0,0,0,0,0,0,1,15384761] 10[0,0,0,0,0,0,0,0,1,19824376] 11[0,0,0,0,0,0,0,0,0,1,11074523] 12[0,0,0,0,0,0,0,0,0,0,1,12172169] 13[0,0,0,0,0,0,0,0,0,0,0,1,2114947] 14[0,0,0,0,0,0,0,0,0,0,0,0,1,4649339]
48912491	2[1,236066] more… 3[0,1,10505504] 4[0,0,1,29188413] 5[0,0,0,1,7381997] 6[0,0,0,0,1,32557679] 7[0,0,0,0,0,1,41776254] 8[0,0,0,0,0,0,1,6095069] 9[0,0,0,0,0,0,0,1,30873046] 10[0,0,0,0,0,0,0,0,1,28147244] 12[0,0,0,0,0,0,0,0,0,0,1,32557679]
107367629	2[1,326229] more… 3[0,1,38725285] 4[0,0,1,38725285] 5[0,0,0,1,66356842] 6[0,0,0,0,1,48406606] 7[0,0,0,0,0,1,1412407] 8[0,0,0,0,0,0,1,95400805] 9[0,0,0,0,0,0,0,1,9681322] 10[0,0,0,0,0,0,0,0,1,96813211] 12[0,0,0,0,0,0,0,0,0,0,1,105082126] 15[0,0,0,0,0,0,0,0,0,0,0,0,0,1,52104515]
160465489	2[1,236066] more… 3[0,1,90230686] 4[0,0,1,66819085] 5[0,0,0,1,148107330] 6[0,0,0,0,1,148107330] 7[0,0,0,0,0,1,75761525] 8[0,0,0,0,0,0,1,28938323] 9[0,0,0,0,0,0,0,1,113642287] 12[0,0,0,0,0,0,0,0,0,0,1,104699847] 13[0,0,0,0,0,0,0,0,0,0,0,1,66819085]
308761441	2[1,180327] more… 3[0,1,111363941] 4[0,0,1,218666047] 5[0,0,0,1,263713744] 6[0,0,0,0,1,218666047] 8[0,0,0,0,0,0,1,14696108] 9[0,0,0,0,0,0,0,1,49109532] 12[0,0,0,0,0,0,0,0,0,0,1,9674898]
536903681	2[1,854098] more… 3[0,1,380237287] 4[0,0,1,458570484] 5[0,0,0,1,193650261] 6[0,0,0,0,1,152300930] 7[0,0,0,0,0,1,152300930] 8[0,0,0,0,0,0,1,193650261] 9[0,0,0,0,0,0,0,1,465633718] 10[0,0,0,0,0,0,0,0,1,458570484] 12[0,0,0,0,0,0,0,0,0,0,1,245790668]
715827883	2[1,90164] more… 3[0,1,611390002] 4[0,0,1,168984041] 5[0,0,0,1,233530200] 6[0,0,0,0,1,347385233] 7[0,0,0,0,0,1,611390002] 8[0,0,0,0,0,0,1,402514240] 9[0,0,0,0,0,0,0,1,531606558] 10[0,0,0,0,0,0,0,0,1,387276955] 11[0,0,0,0,0,0,0,0,0,1,639641458] 12[0,0,0,0,0,0,0,0,0,0,1,504729007]
1824726041	2[1,90164] more… 3[0,1,595294818] 4[0,0,1,1723037529] 5[0,0,0,1,1723037529] 6[0,0,0,0,1,1011217945] 7[0,0,0,0,0,1,164535436] 8[0,0,0,0,0,0,1,565622308] 10[0,0,0,0,0,0,0,0,1,86852258] 11[0,0,0,0,0,0,0,0,0,1,164535436]
2931542417	2[1,692043283] more… 3[0,1,1648423562] 4[0,0,1,2441434553] 5[0,0,0,1,1648423562] 6[0,0,0,0,1,956380280] 7[0,0,0,0,0,1,1586021983] 8[0,0,0,0,0,0,1,528673995] 9[0,0,0,0,0,0,0,1,1811792850] 11[0,0,0,0,0,0,0,0,0,1,2705771550] 12[0,0,0,0,0,0,0,0,0,0,1,2797634491]
4278255361	2[1,3654066304] more… 3[0,1,1781499133] 4[0,0,1,2405688190] 5[0,0,0,1,3654066304] 6[0,0,0,0,1,2314620151] 8[0,0,0,0,0,0,1,4039836329] 9[0,0,0,0,0,0,0,1,2427186059] 11[0,0,0,0,0,0,0,0,0,1,4039836329] 12[0,0,0,0,0,0,0,0,0,0,1,3233511194]
4562284561	2[1,1899771157] more… 3[0,1,568514455] 4[0,0,1,3448181000] 5[0,0,0,1,3313972828] 6[0,0,0,0,1,725647974] 7[0,0,0,0,0,1,979895390] 8[0,0,0,0,0,0,1,725647974] 9[0,0,0,0,0,0,0,1,3762448038] 12[0,0,0,0,0,0,0,0,0,0,1,1728468710]
8831418697	2[1,5458116920] more… 3[0,1,2881143650] 4[0,0,1,5458116920] 5[0,0,0,1,2084815143] 6[0,0,0,0,1,8339260569] 7[0,0,0,0,0,1,5458116920] 8[0,0,0,0,0,0,1,4777971043] 10[0,0,0,0,0,0,0,0,1,7659114692] 12[0,0,0,0,0,0,0,0,0,0,1,2693155901]
54410972897	2[1,33627830610] more… 3[0,1,38534064967] 4[0,0,1,43440299324] 5[0,0,0,1,46472518932] 6[0,0,0,0,1,48346533681] 7[0,0,0,0,0,1,46472518932] 8[0,0,0,0,0,0,1,23372966927] 12[0,0,0,0,0,0,0,0,0,0,1,33016455593]
165768537521	2[1,14947339696] more… 3[0,1,141583233834] 4[0,0,1,54079983078] 5[0,0,0,1,102450590452] 6[0,0,0,0,1,147292609537] 8[0,0,0,0,0,0,1,44842019086] 9[0,0,0,0,0,0,0,1,102450590452] 12[0,0,0,0,0,0,0,0,0,0,1,73388897601]
2932031007403	2[1,2605238031671] more… 3[0,1,1384317259769] 4[0,0,1,2441841543805] 5[0,0,0,1,1648698330778] 6[0,0,0,0,1,365365654153] 7[0,0,0,0,0,1,1648698330778] 9[0,0,0,0,0,0,0,1,807876665145]
4363953127297	2[1,4120758354633] more… 3[0,1,3727260946636] 4[0,0,1,543800043331] 5[0,0,0,1,1423686996656] 8[0,0,0,0,0,0,1,3727260946636]
28059810762433	2[1,23965939544788] more… 3[0,1,17341916769074] 4[0,0,1,13248045551429] 5[0,0,0,1,17341916769074] 6[0,0,0,0,1,19872068327143] 7[0,0,0,0,0,1,23965939544788] 8[0,0,0,0,0,0,1,10120606232277] 9[0,0,0,0,0,0,0,1,17341916769074] 12[0,0,0,0,0,0,0,0,0,0,1,18449349181304]
768614336404564651	2[1,69305911479043286] more… 3[0,1,458668877788703385] 4[0,0,1,148723419172842119] 5[0,0,0,1,95778414043642897] 6[0,0,0,0,1,703170711005188399]

There’s more data here. The search required factoring some big numbers in the form $p^n-1$, and I didn’t want to waste that effort, so those are here.

1. A simple way to understand the $p^{a\times b}-1$ thing is to consider that in decimal $10^n-1$ is 9 repeated n times. Similarly, in binary, $2^n-1$ is 1 repeated n times. If n is, for example, divisible by three, then the number of repeated digits is divisible by three, and consequently you can express it the product of 999 and 1001001…1001. And so it is in any base for any factor of n. ↩

2. This works because if the bases are co-prime then their periods are co-prime and this means that every possible state in one shift register will eventually line up with every possible state in another shift register over the product of their periods. So the combined remapping as a shift register also visits every possible state over the same period. ↩