Sunday Times Teaser 2487

by Graham Smithers

Published: 23 May 2010 (link)

I have taken an addition sum and consistently replaced digits with letters, using different letters for different digits. In this way, the sum has become:

THE + TOP + PAPER = TIMES and this TEASER is odd.

What is the number TEASER?

2 Comments Leave one →

Brian Gladman permalink

AlphaSum is available here.


from functools import reduce
from alphasum import AlphaSum

s = AlphaSum(['THE', 'TOP', 'PAPER'], 'TIMES')
for d in s.solve():
  if d['R'] % 2:
    t = reduce(lambda x, y : 10 * x + y, (d[c] for c in 'TEASER'))
    print('TEASER = {} ({})'.format(t, s.output(d)))

from functools import reduce

from alphasum import AlphaSum

s = AlphaSum(['THE', 'TOP', 'PAPER'], 'TIMES')

for d in s.solve():

if d['R'] % 2:

t = reduce(lambda x, y : 10 * x + y, (d[c] for c in 'TEASER'))

print('TEASER = {} ({})'.format(t, s.output(d)))

geoffrounce permalink

I find both H and O can be 6 or 3, which leads to the same answer being printed twice.


from itertools import permutations

for p1 in permutations('9876543210',3):
  T, H, E = p1
  if T == 0 : continue
  THE = int(T + H + E)
  
  p2 = set('1234567890').difference(p1)
  for q in permutations(p2,4):
    O, P, A, R = q
    if P == '0': continue
    TOP = int(T + O + P)
    PAPER = int(P + A + P + E + R)
    
    p3 = p2.difference(q)
    for r in permutations(p3,3):
      I, M, S = r
      TIMES = int(T + I + M + E + S)

      if THE + TOP + PAPER == TIMES:
          TEASER = int(T + E + A + S + E + R)
          if TEASER % 2 == 1:
              print('TEASER = ', TEASER)

from itertools import permutations

for p1 in permutations('9876543210',3):

T, H, E = p1

if T == 0 : continue

THE = int(T + H + E)

p2 = set('1234567890').difference(p1)

for q in permutations(p2,4):

O, P, A, R = q

if P == '0': continue

TOP = int(T + O + P)

PAPER = int(P + A + P + E + R)

p3 = p2.difference(q)

for r in permutations(p3,3):

I, M, S = r

TIMES = int(T + I + M + E + S)

if THE + TOP + PAPER == TIMES:

TEASER = int(T + E + A + S + E + R)

if TEASER % 2 == 1:

print('TEASER = ', TEASER)

Sunday Times Teaser 2487

by Graham Smithers

Published: 23 May 2010 (link)

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