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A student at Harvard named Kevin
Was counting his stones by 11
He messed up n times
And instead counted 9s
And wound up at 2007.

To be precise, Kevin divides 2007 stones into groups of  11 stones and 9 stones, where n of the groups have 9 stones in them. How many values of n could make this limerick true?

 Jun 13, 2019
 #1
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n=1; x=1;d=0;cycle:a = (9*n +11*x); if(a==2007, goto5, goto6);printa,"=", x," ", n;x++;if(x<200, goto cycle,discard=0;x=1;n++;if(n<300, goto cycle,0)

 

  a    x      n

1 = 180   3
2 = 171   14
3 = 162   25
4 = 153   36
5 = 144   47
6 = 135   58
7 = 126   69
8 = 117   80
9 = 108   91
10 = 99   102
11 = 90   113
12 = 81   124
13 = 72   135
14 = 63   146
15 = 54   157
16 = 45   168
17 = 36   179
18 = 27   190
19 = 18   201
20 = 9   212

 

 Jun 13, 2019

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