Sunday Times Teaser 2796 – George and the Dragon

by Andrew Skidmore

Published: 24 April 2016 (link)

Yesterday was St George’s day and to celebrate George getting even with the dragon I wrote down an addition sum. Then I replaced digits consistently by letters, using different letters for different digits, to give

SAINT + GEORGE = DRAGON

Given that GEORGE is even, what number is DRAGON?

2 Comments Leave one →

Brian Gladman permalink

This teaser provided the incentive to build my own class for solving alphametic sums – AlphaSum (also see ‘Teaser Utilities’ under the Python menu above).


from alphasum import AlphaSum

AlphaSum(['SAINT', 'GEORGE'], 'DRAGON').go(fn=lambda x: x['E'] % 2 == 0)

from alphasum import AlphaSum

AlphaSum(['SAINT', 'GEORGE'], 'DRAGON').go(fn=lambda x: x['E'] % 2 == 0)

geoffrounce permalink


from itertools import permutations
 
for p1 in permutations('9876543210',4):
  G, E, O, R = p1
  if G == 0 : continue
  GEORGE = int( G + E + O + R + G + E)
  if GEORGE % 2 != 0 : continue
  
  p2 = set('1234567890').difference(p1)
  for q in permutations(p2,3):
    D, A, N = q
    if D == '0': continue
    DRAGON = int(D + R + A + G + O + N)
    
    p3 = p2.difference(q)
    for r in permutations(p3,3):
      S, I, T = r
      if S == '0': continue
      SAINT = int(S + A + I + N + T)
 
      if SAINT + GEORGE != DRAGON: continue
      print('SAINT={}, GEORGE={}, DRAGON={}'.format(SAINT,GEORGE,DRAGON))

from itertools import permutations

for p1 in permutations('9876543210',4):

G, E, O, R = p1

if G == 0 : continue

GEORGE = int( G + E + O + R + G + E)

if GEORGE % 2 != 0 : continue

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

for q in permutations(p2,3):

D, A, N = q

if D == '0': continue

DRAGON = int(D + R + A + G + O + N)

p3 = p2.difference(q)

for r in permutations(p3,3):

S, I, T = r

if S == '0': continue

SAINT = int(S + A + I + N + T)

if SAINT + GEORGE != DRAGON: continue

print('SAINT={}, GEORGE={}, DRAGON={}'.format(SAINT,GEORGE,DRAGON))

Sunday Times Teaser 2796 – George and the Dragon

by Andrew Skidmore

Published: 24 April 2016 (link)

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