move OEIS solver to separate file + add reverse chapter and reverse word search
This commit is contained in:
@@ -151,18 +151,18 @@ class RuneText(object):
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# return False
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# return all(x.index == y.index for x, y in zip(self, other))
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def enum_words(self): # [(start, end, len), ...] may include \n \r
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def enum_words(self, reverse=False): # [(start, end, len), ...]
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start = 0
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r_pos = 0
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word = []
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for i, x in enumerate(self._data):
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for i, x in enumerate(reversed(self._data) if reverse else self._data):
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if x.kind == 'r':
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r_pos += 1
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word.append(x)
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elif x.kind == 'l':
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continue
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else:
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if len(word) > 0:
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if len(word) > 0: # RuneText may include \n and \r
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yield start, i, r_pos - len(word), RuneText(word)
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word = []
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start = i + 1
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127
oeis.py
Executable file
127
oeis.py
Executable file
@@ -0,0 +1,127 @@
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#!/usr/bin/env python3
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import LP
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import itertools
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WORDS_MIN_MATCH = 2
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TRIM_AFTER = 40
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SEQS = []
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WORDS = [set()] * 13
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def convert_orig_oeis(minlen=15, trim=TRIM_AFTER):
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# download and unzip: https://oeis.org/stripped.gz
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with open(LP.path.db('oeis_orig'), 'r') as f_in:
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with open(LP.path.db('oeis'), 'w') as f_out:
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for line in f_in.readlines():
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if line[0] == '#':
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continue
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name, *vals = line.split(',')
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vals = [str(int(x) % 29) for x in vals if x.strip()][:trim]
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if len(vals) < minlen:
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continue
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f_out.write(name + ',' + ','.join(vals) + '\n')
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def load_db(): # takes 3 seconds
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print('load OEIS db ...')
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with open(LP.path.db('oeis'), 'r') as f:
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for line in f.readlines():
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vals = line.split(',')
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SEQS.append((vals[0], list(map(int, vals[1:]))))
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print('load dictionary ...')
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WORDS[1] = set(x for x in LP.RUNES)
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for i in range(2, 13): # since 12 is the longest word
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with open(LP.path.data(f'dictionary_{i}'), 'r') as f:
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WORDS[i] = set(x.strip() for x in f.readlines())
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def enum_irp_combinations(irps):
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for i in range(len(irps) + 1):
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for x in itertools.combinations(irps, i): # 2^3
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if len(x) > 0 and x[0] - len(x) >= TRIM_AFTER:
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continue
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yield x
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def get_word_splits(data, irp, reverse=False, reverse_word=False):
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new_data = []
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irps = []
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splits = []
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max_len = TRIM_AFTER # same as trim above
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for _, _, i, w in data.enum_words(reverse=reverse):
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irp_is = [i + ii for ii, r in enumerate(w) if r.index == irp]
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if (len(w) - len(irp_is)) > max_len: # include only full words
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break
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max_len = max_len + len(irp_is) - len(w)
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irps += irp_is
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splits.append((i, i + len(w)))
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for r in (reversed(w) if reverse_word else w):
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if r.index != 29:
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new_data.append(r.index)
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return new_data[::-1 if reverse else 1], irps, splits
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# invert: 28 - rune.index
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# reverse: start chapter from the end
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# reverse_word: start it word from the end, but keep sentence direction
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# allow_fails: number of words that can be wrong
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# fail_threshold: at least one word w/ len x+1 must match, else all must match
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def find_oeis(irp=0, offset=0, invert=False, reverse=False, reverse_word=False,
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allow_fails=1, fail_threshold=4):
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print()
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print('irp:', irp, ' offset:', offset, ' invert:', invert,
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' reverse:', reverse, ' reverse_word:', reverse_word,
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' allow_fails:', allow_fails, ' fail_threshold:', fail_threshold)
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# for fname in ['p56_an_end']:
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for fname in LP.FILES_UNSOLVED:
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data = LP.RuneTextFile(LP.path.page(fname))
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if invert:
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data.invert()
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data, irps, splits = get_word_splits(data, irp, reverse, reverse_word)
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irps.reverse() # reverse to start inserting at the end
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min_len = splits[WORDS_MIN_MATCH - 1][1]
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max_len = splits[-1][1]
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data = data[:max_len]
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print()
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print(fname, 'words:', [y - x for x, y in splits])
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for comb in enum_irp_combinations(irps):
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for oeis, vals in SEQS: # 390k
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vals = vals[offset:]
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if len(vals) < min_len:
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continue
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for z in comb:
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vals.insert(z, -1) # insert interrupts
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shortest = min(max_len, len(vals))
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for s in range(29):
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failed = 0
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onematch = False
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full = []
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for a, b in splits:
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if b > shortest:
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break
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nums = [x if y == -1 else (x - y - s) % 29
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for x, y in zip(data[a:b], vals[a:b])]
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word = ''.join(LP.RUNES[x] for x in nums)
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if word in WORDS[len(nums)]:
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if len(nums) > fail_threshold:
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onematch = True
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else:
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failed += 1
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if failed > allow_fails:
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break
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full.append(nums)
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if failed > allow_fails or failed > 0 and not onematch:
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continue # too many failed
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print(oeis, 'shift:', s, 'irps:', comb)
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print(' ', ' '.join(LP.RuneText(x).text for x in full))
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if __name__ == '__main__':
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# convert_orig_oeis() # create db if not present already
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load_db()
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for i in range(0, 3):
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find_oeis(irp=0, offset=i, invert=False, reverse=False,
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reverse_word=False, allow_fails=1, fail_threshold=4)
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93
solver.py
93
solver.py
@@ -1,7 +1,6 @@
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#!/usr/bin/env python3
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import LP
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import sys
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import itertools
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def load_sequence_file(fname):
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@@ -105,100 +104,8 @@ def try_totient_on_unsolved():
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print(slvr.run(inpt)[0].text)
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def find_oeis(irp=0, invert=False, offset=0, allow_fails=1, min_match=2):
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def trim_orig_oeis(minlen=15, trim=40):
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# download and unzip: https://oeis.org/stripped.gz
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with open(LP.path.db('oeis_orig'), 'r') as f_in:
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with open(LP.path.db('oeis'), 'w') as f_out:
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for line in f_in.readlines():
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if line[0] == '#':
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continue
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name, *vals = line.split(',')
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vals = [str(int(x) % 29) for x in vals if x.strip()][:trim]
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if len(vals) < minlen:
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continue
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f_out.write(name + ',' + ','.join(vals) + '\n')
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# trim_orig_oeis() # create db if not present already
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with open(LP.path.db('oeis'), 'r') as f:
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seqs = []
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for line in f.readlines():
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vals = line.split(',')
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seqs.append((vals[0], list(map(int, vals[1:]))))
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words = [set()] * 13
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words[1] = set(x for x in LP.RUNES)
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for i in range(2, 13): # since 12 is the longest word
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with open(LP.path.data(f'dictionary_{i}'), 'r') as f:
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words[i] = set(x.strip() for x in f.readlines())
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for uuu, wlen in {
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'p0-2': [8, 5, 4, 3, 3, 11, 5, 4, 3, 3],
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'p3-7': [2, 11, 3, 4, 7, 7, 7, 4, 6],
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'p8-14': [4, 8, 3, 2, 3, 9, 4, 3, 4, 2, 2],
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'p15-22': [4, 5, 4, 2, 5, 4, 5, 6, 5, 6, 3, 3],
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'p23-26': [2, 6, 3, 4, 8, 3, 3, 7, 5, 5],
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'p27-32': [3, 12, 4, 7, 2, 3, 3, 2, 1, 3, 4],
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'p33-39': [2, 8, 2, 9, 6, 3, 3, 5, 3, 2],
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'p40-53': [3, 5, 5, 4, 3, 5, 4, 2, 12, 3, 3, 2],
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'p54-55': [1, 8, 8, 3, 6, 2, 5, 3, 2, 3, 5, 7],
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# 'p56_an_end': [2, 3, 5, 2, 4, 3, 4, 6, 1, 4, 3, 6, 2],
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}.items():
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splits = [(0, 0, 0)]
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for x in wlen:
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splits.append((splits[-1][1], splits[-1][1] + x))
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splits = splits[1:]
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print()
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print(uuu)
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data = LP.RuneTextFile(LP.path.page(uuu), limit=120).index_no_white
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if invert:
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data = [28 - x for x in data]
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irps = [i for i, x in enumerate(data[:splits[-1][1]]) if x == irp]
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irps.reverse() # insert -1 starting with the last
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min_len = sum(wlen[:2]) # must match at least n words
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data_len = len(data)
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for oeis, vals in seqs: # 390k
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vals = vals[offset:]
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if len(vals) < min_len:
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continue
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cases = [x for x in irps if x < len(vals)]
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for i in range(len(cases) + 1):
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for comb in itertools.combinations(cases, i): # 2^3
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res = vals[:]
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for z in comb:
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res.insert(z, -1) # insert interrupts
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shortest = min(data_len, len(res))
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for s in range(29):
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failed = 0
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full = []
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clen = 0
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for a, b in splits:
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if b > shortest:
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break
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nums = [x if y == -1 else (x - y - s) % 29
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for x, y in zip(data[a:b], res[a:b])]
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word = ''.join(LP.RUNES[x] for x in nums)
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if word in words[len(nums)]:
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clen += len(nums)
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else:
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failed += 1
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if failed > allow_fails:
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break
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full.append(LP.RuneText(nums).text)
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if failed > allow_fails or clen < min_match:
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continue # too many failed
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print(oeis.split()[0], 'shift:', s, 'irps:', comb)
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print(' ', ' '.join(full))
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if '-s' in sys.argv: # print [s]olved
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print_all_solved()
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else:
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play_around()
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# try_totient_on_unsolved()
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# for i in range(0, 4):
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# print('offset:', i)
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# find_oeis(irp=0, invert=False, offset=i, allow_fails=1, min_match=10)
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