First, I started on 14. If it broke, I’d go to 1, and test it, along with 2, 3, 4, 5,6, 7, 8, 9, 10, 11, 12, and 13. If it didn’t break, then go to 39.
If at 39 it breaks, then test 28, 29, 30, 31, 32, 33, 34, 35, 36, 27, and 38.
Go to 50 if it doesn’t break at 39.
Test the numbers in between 39 and 50 if it broke at 50.
After 50 comes the numbers 60, 69, 77, 84, 90, 95, 99.
If it cracks, test the numbers between.
I figured out that there was a pattern I could use to figure out this problem. I noticed that I could use the sum 1+2+3+4+5+6+7+8+9+10+11+12+13+14 to help me.
The answer of the sum is 105, and the closest number to 100 is 4+5+6+7+8+9+10+11+12+13+14=99.
So, if I did that sum, I could simply just add one. So, to make 100 you need 4+5+6+7+8+9+10+11+12+13+14+1.
Number. Numbers you have to test if it breaks. Number of times you have to test it if it breaks.
14 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13 14
27 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26 13+1
39 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38 12+2
50 40, 41, 42, 43, 44, 45, 46, 47, 48, 49 11+3
60 51, 52, 53, 54, 55, 56, 57, 58, 59 10+4
69 61, 62, 63, 64, 65, 66, 67, 68 9+5
77 70, 71, 72, 73, 74, 75, 76 8+6
84 78, 79, 80, 81, 82, 83 7+7
90 85, 86, 87, 88, 89 6+8
95 91, 92, 93, 94 5+9
99 96, 97, 98 4+10
100 1+11