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 Subsquares (Posted on 2008-05-21)
The numbers from 1 to 100 are arranged, snaking back and forth from the bottom, in a 10x10 grid:

```100 99 98 97 96 95 94 93 92 91

81 82 83 84 85 86 87 88 89 90

80 79 78 77 76 75 74 73 72 71

61 62 63 64 65 66 67 68 69 70

60 59 58 57 56 55 54 53 52 51
+--------------+
|41 42 43 44 45|46 47 48 49 50
|              |
|40 39 38 37 36|35 34 33 32 31
|              |
|21 22 23 24 25|26 27 28 29 30
|              |
|20 19 18 17 16|15 14 13 12 11
+--+           |
| 1| 2  3  4  5| 6  7  8  9 10
+--+-----------+
```

Marked off are two subsquares that, if you add up the numbers within them, the total is the square of one of the numbers within. The larger square (5x5) totals 625, the square of 25, which is found within that marked square. The other one shown is the trivial "1", a 1x1 square, the single number in which of course is its own square.

Find another subsquare where the sum of its contained numbers is equal to the square of one of those numbers.

 See The Solution Submitted by Charlie Rating: 5.0000 (1 votes)

 Subject Author Date No more solutions, I think pcbouhid 2008-05-23 14:28:04 four by four and on Paul 2008-05-21 21:20:42 two by two Paul 2008-05-21 20:50:41 Little square charles Bohnsack 2008-05-21 18:16:56 re: Who's on First? Charlie 2008-05-21 12:30:15 solution(s) Dej Mar 2008-05-21 12:24:07 Who's on First? ed bottemiller 2008-05-21 11:57:18 One of them (3 x3) pcbouhid 2008-05-21 11:11:07 One Missing - Roman. brianjn 2008-05-21 11:05:49

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