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Near Magic Square Alphametics II (Posted on 2009-10-03) Difficulty: 3 of 5
Substitute each of the capital letters in this 4x4 grid by a different digit from 0 to 9, such that the sum of each of the four columns as well as the sum of each of the four rows is TO.

S   H   O   P
P   I    P   E
A   R   E   A
R   E   N   T

Note: TO represents the number 10*T + O.

No Solution Yet Submitted by K Sengupta    
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Solution computer solution Comment 2 of 2 |
8  7  0  5
5  1  5  9
4  3  9  4
3  9  6  2
20

 

CLS
FOR t = 0 TO 9
 IF used(t) = 0 THEN
  used(t) = 1
FOR h = 0 TO 9
 IF used(h) = 0 THEN
  used(h) = 1
FOR o = 0 TO 9
 IF used(o) = 0 THEN
  used(o) = 1
  tov = 10 * t + o
FOR p = 0 TO 9
 IF used(p) = 0 THEN
  used(p) = 1
FOR i = 0 TO 9
 IF used(i) = 0 THEN
  used(i) = 1


FOR e = 0 TO 9
 IF used(e) = 0 THEN
  used(e) = 1
IF p + i + p + e = tov THEN
FOR a = 0 TO 9
 IF used(a) = 0 THEN
  used(a) = 1
FOR r = 0 TO 9
 IF used(r) = 0 THEN
  used(r) = 1
FOR n = 0 TO 9
 IF used(n) = 0 THEN
  used(n) = 1
FOR s = 0 TO 9
 IF used(s) = 0 THEN
  used(s) = 1

IF s + h + o + p = tov THEN
IF a + r + e + a = tov THEN
IF r + e + n + t = tov THEN
IF s + p + a + r = tov THEN
IF h + i + r + e = tov THEN
IF o + p + e + n = tov THEN
IF p + e + a + t = tov THEN
 PRINT
 PRINT s; h; o; p
 PRINT p; i; p; e
 PRINT a; r; e; a
 PRINT r; e; n; t
 PRINT tov
END IF
END IF
END IF
END IF
END IF
END IF
END IF
 
 
  used(s) = 0
 END IF
NEXT
  used(n) = 0
 END IF
NEXT
  used(r) = 0
 END IF
NEXT
  used(a) = 0
 END IF
NEXT
END IF' pipe
  used(e) = 0
 END IF
NEXT


  used(i) = 0
 END IF
NEXT
  used(p) = 0
 END IF
NEXT
  used(o) = 0
 END IF
NEXT
  used(h) = 0
 END IF
NEXT
  used(t) = 0
 END IF
NEXT

 


  Posted by Charlie on 2009-10-04 04:22:40
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