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Different Sums (Posted on 2004-07-22) Difficulty: 3 of 5
There are 40 ways to make sums of three distinct positive integers total 25. (1+2+22 is such a sum, but 1+12+12 and 1+2+3+19 are not.)

How many different ways can three distinct positive integers sum to 1000?

See The Solution Submitted by Brian Smith    
Rating: 3.2500 (4 votes)

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Solution re(2): With a little help from awk | Comment 4 of 17 |
(In reply to re: With a little help from awk by Sing4TheDay)

I don't know how the awk program got the correct answer, but the following Basic program, using the correct inequality, gives the same answer, 82834:

FOR a = 1 TO 1000
  FOR b = a + 1 TO 1000
    c = 1000 - a - b
    IF c > b THEN total = total + 1
PRINT total

  Posted by Charlie on 2004-07-22 10:45:04
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