Twelve statements: Difference between revisions

=={{header|Python}}==

<lang python>

from itertools import product

#from pprint import pprint as pp

constraintinfo = (

(lambda st: len(st) == 12 ,(1, 'This is a numbered list of twelve statements')),

(lambda st: sum(st[-6:]) == 3 ,(2, 'Exactly 3 of the last 6 statements are true')),

(lambda st: sum(st[1::2]) == 2 ,(3, 'Exactly 2 of the even-numbered statements are true')),

(lambda st: (st[5]&st[6]) if st[4] else 1 ,(4, 'If statement 5 is true, then statements 6 and 7 are both true')),

(lambda st: sum(st[1:4]) == 0 ,(5, 'The 3 preceding statements are all false')),

(lambda st: sum(st[0::2]) == 4 ,(6, 'Exactly 4 of the odd-numbered statements are true')),

(lambda st: sum(st[1:3]) == 1 ,(7, 'Either statement 2 or 3 is true, but not both')),

(lambda st: (st[4]&st[5]) if st[6] else 1 ,(8, 'If statement 7 is true, then 5 and 6 are both true')),

(lambda st: sum(st[:6]) == 3 ,(9, 'Exactly 3 of the first 6 statements are true')),

(lambda st: (st[10]&st[11]) ,(10, 'The next two statements are both true')),

(lambda st: sum(st[6:9]) == 1 ,(11, 'Exactly 1 of statements 7, 8 and 9 are true')),

(lambda st: sum(st[0:11]) == 4 ,(12, 'Exactly 4 of the preceding statements are true')),

)

def printer(st, matches):

if False in matches:

print('Missed by one statement: %i, %s' % docs[matches.index(False)])

else:

print('Statements:')

print(' ' + ', '.join('%i:%s' % (i, 'T' if t else 'F') for i, t in enumerate(st, 1)))

funcs, docs = zip(*constraintinfo)

full, partial = [], []

for st in product( *([(False, True)] * 12) ):

truths = [bool(func(st)) for func in funcs]

matches = [s == t for s,t in zip(st, truths)]

mcount = sum(matches)

if mcount == 12:

full.append((st, matches))

elif mcount == 11:

partial.append((st, matches))

for stt in full + partial:

printer(*stt)</lang>

{{out}}

<pre>Full match:

1:T, 2:F, 3:T, 4:T, 5:F, 6:T, 7:T, 8:F, 9:F, 10:F, 11:T, 12:F

Missed by one statement: 1, This is a numbered list of twelve statements:

1:F, 2:F, 3:F, 4:F, 5:T, 6:F, 7:F, 8:T, 9:F, 10:F, 11:T, 12:F

Missed by one statement: 1, This is a numbered list of twelve statements:

1:F, 2:F, 3:F, 4:F, 5:T, 6:F, 7:F, 8:T, 9:F, 10:T, 11:T, 12:T

Missed by one statement: 1, This is a numbered list of twelve statements:

1:F, 2:F, 3:F, 4:T, 5:F, 6:F, 7:F, 8:T, 9:F, 10:T, 11:T, 12:T

Missed by one statement: 8, If statement 7 is true, then 5 and 6 are both true:

1:T, 2:F, 3:F, 4:F, 5:T, 6:F, 7:F, 8:F, 9:F, 10:F, 11:F, 12:F

Missed by one statement: 11, Exactly 1 of statements 7, 8 and 9 are true:

1:T, 2:F, 3:F, 4:F, 5:T, 6:F, 7:F, 8:T, 9:F, 10:F, 11:F, 12:F

Missed by one statement: 12, Exactly 4 of the preceding statements are true:

1:T, 2:F, 3:F, 4:F, 5:T, 6:F, 7:F, 8:T, 9:F, 10:F, 11:T, 12:F

Missed by one statement: 12, Exactly 4 of the preceding statements are true:

1:T, 2:F, 3:F, 4:F, 5:T, 6:F, 7:F, 8:T, 9:F, 10:T, 11:T, 12:T

Missed by one statement: 8, If statement 7 is true, then 5 and 6 are both true:

1:T, 2:F, 3:F, 4:F, 5:T, 6:T, 7:F, 8:F, 9:T, 10:F, 11:T, 12:F

Missed by one statement: 8, If statement 7 is true, then 5 and 6 are both true:

1:T, 2:F, 3:F, 4:T, 5:F, 6:F, 7:F, 8:F, 9:F, 10:F, 11:F, 12:F

Missed by one statement: 12, Exactly 4 of the preceding statements are true:

1:T, 2:F, 3:F, 4:T, 5:F, 6:F, 7:F, 8:T, 9:F, 10:T, 11:T, 12:T

Missed by one statement: 6, Exactly 4 of the odd-numbered statements are true:

1:T, 2:F, 3:F, 4:T, 5:F, 6:T, 7:F, 8:T, 9:T, 10:F, 11:F, 12:F

Missed by one statement: 7, Either statement 2 or 3 is true, but not both:

1:T, 2:F, 3:T, 4:T, 5:F, 6:F, 7:F, 8:T, 9:T, 10:F, 11:F, 12:F

Missed by one statement: 9, Exactly 3 of the first 6 statements are true:

1:T, 2:F, 3:T, 4:T, 5:F, 6:T, 7:T, 8:F, 9:T, 10:F, 11:F, 12:F

Missed by one statement: 12, Exactly 4 of the preceding statements are true:

1:T, 2:T, 3:F, 4:T, 5:F, 6:F, 7:T, 8:F, 9:T, 10:F, 11:F, 12:T

Missed by one statement: 10, The next two statements are both true:

1:T, 2:T, 3:F, 4:T, 5:F, 6:F, 7:T, 8:F, 9:T, 10:T, 11:F, 12:F

Missed by one statement: 8, If statement 7 is true, then 5 and 6 are both true:

1:T, 2:T, 3:F, 4:T, 5:F, 6:F, 7:T, 8:T, 9:T, 10:F, 11:F, 12:F</pre>