A road to injustice: Exploiting exponential curve

http://www.scilogs.com/the_science_talent_project/my-simple-spaced-repetition-system/ says that we should repeat material with exponentially decreasing rate. I have estimated that this allows you to add a new item to learn every time unit to fill the gaps of free slots that appear over time. I've guessed that, provided the exponent of 2, this allows to introduce a new item every second clock. However, the simulation shows otherwise
public class ExponentialLearning {

   public static void main(String[] args) {
       int densityCounter = 0;
       int runtime = 200;//10000;
       final int shift = 2; // introduce a new item every n cycles
       int shiftNext = 0;

       class Item {
           final int what;
           int when; // when next ouput
           Item(int what, int time) {
               this.what = what;
               this.when = 1;
               //System.out.print("(" + this + " created) ");
           }

           public String toString() {
               return what + "@" + when;
           }
       }

       Collection counters = new ArrayList<>();
       LinkedList output = new LinkedList<>();

       for (int time = 0, exponent = 1, exponentNext; time != runtime ; time++) {

           System.out.print(time + ": ");

           // add new item every shift cycles
           if (time == shiftNext) {
               counters.add(new Item(counters.size(), time));
               shiftNext += shift;
           }

           exponentNext = exponent * 2;
           for (Item item : counters) {
               if (item.when + item.what*shift == time) {
                   //System.out.print(", output: " + item.what + " ");
                   output.addFirst(item.what);
                   item.when *= 2;
               }
           }

           exponent = exponentNext;

           if (!output.isEmpty()) {
               for (Integer integer : output) {
                   System.out.print(integer + ", ");
                   densityCounter++;
               }
               output.removeFirst();

           }

           System.out.println();
       }

       System.out.println("average density = " + ((float)densityCounter / (float)runtime));
   }
}

The curve below shows the output: you see exponentially accumulating amount of material to reherse (horizontally) at every next time step (vertically).
1: 1, 
2: 1, 
3: 2, 
4: 2, 1, 
5: 3, 1, 
6: 3, 2, 1, 
7: 4, 2, 1, 
8: 4, 3, 1, 2, 1, 
9: 5, 3, 1, 2, 1, 
10: 5, 4, 2, 3, 1, 2, 1, 
11: 6, 4, 2, 3, 1, 2, 1, 
12: 6, 5, 3, 4, 2, 3, 1, 2, 1, 
13: 7, 5, 3, 4, 2, 3, 1, 2, 1, 
14: 7, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
15: 8, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
16: 8, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
17: 9, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
18: 9, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
19: 10, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
20: 10, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
21: 11, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
22: 11, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
23: 12, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
24: 12, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
25: 13, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
26: 13, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
27: 14, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
28: 14, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
29: 15, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
30: 15, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
31: 16, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
32: 16, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
33: 17, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
34: 17, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
35: 18, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
36: 18, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
37: 19, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
38: 19, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
39: 20, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
40: 20, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
41: 21, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
42: 21, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
43: 22, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
44: 22, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
45: 23, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
46: 23, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
47: 24, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
48: 24, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
49: 25, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
50: 25, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
51: 26, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
52: 26, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
53: 27, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
54: 27, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
55: 28, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
56: 28, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
57: 29, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
58: 29, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
59: 30, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
60: 30, 29, 27, 23, 15, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
61: 31, 29, 27, 23, 15, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
62: 31, 30, 28, 24, 16, 29, 27, 23, 15, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
63: 32, 30, 28, 24, 16, 29, 27, 23, 15, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
64: 32, 31, 29, 25, 17, 1, 30, 28, 24, 16, 29, 27, 23, 15, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
65: 33, 31, 29, 25, 17, 1, 30, 28, 24, 16, 29, 27, 23, 15, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
66: 33, 32, 30, 26, 18, 2, 31, 29, 25, 17, 1, 30, 28, 24, 16, 29, 27, 23, 15, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
67: 34, 32, 30, 26, 18, 2, 31, 29, 25, 17, 1, 30, 28, 24, 16, 29, 27, 23, 15, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
68: 34, 33, 31, 27, 19, 3, 32, 30, 26, 18, 2, 31, 29, 25, 17, 1, 30, 28, 24, 16, 29, 27, 23, 15, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
69: 35, 33, 31, 27, 19, 3, 32, 30, 26, 18, 2, 31, 29, 25, 17, 1, 30, 28, 24, 16, 29, 27, 23, 15, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
70: 35, 34, 32, 28, 20, 4, 33, 31, 27, 19, 3, 32, 30, 26, 18, 2, 31, 29, 25, 17, 1, 30, 28, 24, 16, 29, 27, 23, 15, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
71: 36, 34, 32, 28, 20, 4, 33, 31, 27, 19, 3, 32, 30, 26, 18, 2, 31, 29, 25, 17, 1, 30, 28, 24, 16, 29, 27, 23, 15, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
72: 36, 35, 33, 29, 21, 5, 34, 32, 28, 20, 4, 33, 31, 27, 19, 3, 32, 30, 26, 18, 2, 31, 29, 25, 17, 1, 30, 28, 24, 16, 29, 27, 23, 15, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
73: 37, 35, 33, 29, 21, 5, 34, 32, 28, 20, 4, 33, 31, 27, 19, 3, 32, 30, 26, 18, 2, 31, 29, 25, 17, 1, 30, 28, 24, 16, 29, 27, 23, 15, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
74: 37, 36, 34, 30, 22, 6, 35, 33, 29, 21, 5, 34, 32, 28, 20, 4, 33, 31, 27, 19, 3, 32, 30, 26, 18, 2, 31, 29, 25, 17, 1, 30, 28, 24, 16, 29, 27, 23, 15, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
75: 38, 36, 34, 30, 22, 6, 35, 33, 29, 21, 5, 34, 32, 28, 20, 4, 33, 31, 27, 19, 3, 32, 30, 26, 18, 2, 31, 29, 25, 17, 1, 30, 28, 24, 16, 29, 27, 23, 15, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
76: 38, 37, 35, 31, 23, 7, 36, 34, 30, 22, 6, 35, 33, 29, 21, 5, 34, 32, 28, 20, 4, 33, 31, 27, 19, 3, 32, 30, 26, 18, 2, 31, 29, 25, 17, 1, 30, 28, 24, 16, 29, 27, 23, 15, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
77: 39, 37, 35, 31, 23, 7, 36, 34, 30, 22, 6, 35, 33, 29, 21, 5, 34, 32, 28, 20, 4, 33, 31, 27, 19, 3, 32, 30, 26, 18, 2, 31, 29, 25, 17, 1, 30, 28, 24, 16, 29, 27, 23, 15, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
78: 39, 38, 36, 32, 24, 8, 37, 35, 31, 23, 7, 36, 34, 30, 22, 6, 35, 33, 29, 21, 5, 34, 32, 28, 20, 4, 33, 31, 27, 19, 3, 32, 30, 26, 18, 2, 31, 29, 25, 17, 1, 30, 28, 24, 16, 29, 27, 23, 15, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
79: 40, 38, 36, 32, 24, 8, 37, 35, 31, 23, 7, 36, 34, 30, 22, 6, 35, 33, 29, 21, 5, 34, 32, 28, 20, 4, 33, 31, 27, 19, 3, 32, 30, 26, 18, 2, 31, 29, 25, 17, 1, 30, 28, 24, 16, 29, 27, 23, 15, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
80: 40, 39, 37, 33, 25, 9, 38, 36, 32, 24, 8, 37, 35, 31, 23, 7, 36, 34, 30, 22, 6, 35, 33, 29, 21, 5, 34, 32, 28, 20, 4, 33, 31, 27, 19, 3, 32, 30, 26, 18, 2, 31, 29, 25, 17, 1, 30, 28, 24, 16, 29, 27, 23, 15, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
81: 41, 39, 37, 33, 25, 9, 38, 36, 32, 24, 8, 37, 35, 31, 23, 7, 36, 34, 30, 22, 6, 35, 33, 29, 21, 5, 34, 32, 28, 20, 4, 33, 31, 27, 19, 3, 32, 30, 26, 18, 2, 31, 29, 25, 17, 1, 30, 28, 24, 16, 29, 27, 23, 15, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
82: 41, 40, 38, 34, 26, 10, 39, 37, 33, 25, 9, 38, 36, 32, 24, 8, 37, 35, 31, 23, 7, 36, 34, 30, 22, 6, 35, 33, 29, 21, 5, 34, 32, 28, 20, 4, 33, 31, 27, 19, 3, 32, 30, 26, 18, 2, 31, 29, 25, 17, 1, 30, 28, 24, 16, 29, 27, 23, 15, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
83: 42, 40, 38, 34, 26, 10, 39, 37, 33, 25, 9, 38, 36, 32, 24, 8, 37, 35, 31, 23, 7, 36, 34, 30, 22, 6, 35, 33, 29, 21, 5, 34, 32, 28, 20, 4, 33, 31, 27, 19, 3, 32, 30, 26, 18, 2, 31, 29, 25, 17, 1, 30, 28, 24, 16, 29, 27, 23, 15, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
84: 42, 41, 39, 35, 27, 11, 40, 38, 34, 26, 10, 39, 37, 33, 25, 9, 38, 36, 32, 24, 8, 37, 35, 31, 23, 7, 36, 34, 30, 22, 6, 35, 33, 29, 21, 5, 34, 32, 28, 20, 4, 33, 31, 27, 19, 3, 32, 30, 26, 18, 2, 31, 29, 25, 17, 1, 30, 28, 24, 16, 29, 27, 23, 15, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
85: 43, 41, 39, 35, 27, 11, 40, 38, 34, 26, 10, 39, 37, 33, 25, 9, 38, 36, 32, 24, 8, 37, 35, 31, 23, 7, 36, 34, 30, 22, 6, 35, 33, 29, 21, 5, 34, 32, 28, 20, 4, 33, 31, 27, 19, 3, 32, 30, 26, 18, 2, 31, 29, 25, 17, 1, 30, 28, 24, 16, 29, 27, 23, 15, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
86: 43, 42, 40, 36, 28, 12, 41, 39, 35, 27, 11, 40, 38, 34, 26, 10, 39, 37, 33, 25, 9, 38, 36, 32, 24, 8, 37, 35, 31, 23, 7, 36, 34, 30, 22, 6, 35, 33, 29, 21, 5, 34, 32, 28, 20, 4, 33, 31, 27, 19, 3, 32, 30, 26, 18, 2, 31, 29, 25, 17, 1, 30, 28, 24, 16, 29, 27, 23, 15, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
87: 44, 42, 40, 36, 28, 12, 41, 39, 35, 27, 11, 40, 38, 34, 26, 10, 39, 37, 33, 25, 9, 38, 36, 32, 24, 8, 37, 35, 31, 23, 7, 36, 34, 30, 22, 6, 35, 33, 29, 21, 5, 34, 32, 28, 20, 4, 33, 31, 27, 19, 3, 32, 30, 26, 18, 2, 31, 29, 25, 17, 1, 30, 28, 24, 16, 29, 27, 23, 15, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
88: 44, 43, 41, 37, 29, 13, 42, 40, 36, 28, 12, 41, 39, 35, 27, 11, 40, 38, 34, 26, 10, 39, 37, 33, 25, 9, 38, 36, 32, 24, 8, 37, 35, 31, 23, 7, 36, 34, 30, 22, 6, 35, 33, 29, 21, 5, 34, 32, 28, 20, 4, 33, 31, 27, 19, 3, 32, 30, 26, 18, 2, 31, 29, 25, 17, 1, 30, 28, 24, 16, 29, 27, 23, 15, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
89: 45, 43, 41, 37, 29, 13, 42, 40, 36, 28, 12, 41, 39, 35, 27, 11, 40, 38, 34, 26, 10, 39, 37, 33, 25, 9, 38, 36, 32, 24, 8, 37, 35, 31, 23, 7, 36, 34, 30, 22, 6, 35, 33, 29, 21, 5, 34, 32, 28, 20, 4, 33, 31, 27, 19, 3, 32, 30, 26, 18, 2, 31, 29, 25, 17, 1, 30, 28, 24, 16, 29, 27, 23, 15, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
90: 45, 44, 42, 38, 30, 14, 43, 41, 37, 29, 13, 42, 40, 36, 28, 12, 41, 39, 35, 27, 11, 40, 38, 34, 26, 10, 39, 37, 33, 25, 9, 38, 36, 32, 24, 8, 37, 35, 31, 23, 7, 36, 34, 30, 22, 6, 35, 33, 29, 21, 5, 34, 32, 28, 20, 4, 33, 31, 27, 19, 3, 32, 30, 26, 18, 2, 31, 29, 25, 17, 1, 30, 28, 24, 16, 29, 27, 23, 15, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
91: 46, 44, 42, 38, 30, 14, 43, 41, 37, 29, 13, 42, 40, 36, 28, 12, 41, 39, 35, 27, 11, 40, 38, 34, 26, 10, 39, 37, 33, 25, 9, 38, 36, 32, 24, 8, 37, 35, 31, 23, 7, 36, 34, 30, 22, 6, 35, 33, 29, 21, 5, 34, 32, 28, 20, 4, 33, 31, 27, 19, 3, 32, 30, 26, 18, 2, 31, 29, 25, 17, 1, 30, 28, 24, 16, 29, 27, 23, 15, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
92: 46, 45, 43, 39, 31, 15, 44, 42, 38, 30, 14, 43, 41, 37, 29, 13, 42, 40, 36, 28, 12, 41, 39, 35, 27, 11, 40, 38, 34, 26, 10, 39, 37, 33, 25, 9, 38, 36, 32, 24, 8, 37, 35, 31, 23, 7, 36, 34, 30, 22, 6, 35, 33, 29, 21, 5, 34, 32, 28, 20, 4, 33, 31, 27, 19, 3, 32, 30, 26, 18, 2, 31, 29, 25, 17, 1, 30, 28, 24, 16, 29, 27, 23, 15, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
93: 47, 45, 43, 39, 31, 15, 44, 42, 38, 30, 14, 43, 41, 37, 29, 13, 42, 40, 36, 28, 12, 41, 39, 35, 27, 11, 40, 38, 34, 26, 10, 39, 37, 33, 25, 9, 38, 36, 32, 24, 8, 37, 35, 31, 23, 7, 36, 34, 30, 22, 6, 35, 33, 29, 21, 5, 34, 32, 28, 20, 4, 33, 31, 27, 19, 3, 32, 30, 26, 18, 2, 31, 29, 25, 17, 1, 30, 28, 24, 16, 29, 27, 23, 15, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
94: 47, 46, 44, 40, 32, 16, 45, 43, 39, 31, 15, 44, 42, 38, 30, 14, 43, 41, 37, 29, 13, 42, 40, 36, 28, 12, 41, 39, 35, 27, 11, 40, 38, 34, 26, 10, 39, 37, 33, 25, 9, 38, 36, 32, 24, 8, 37, 35, 31, 23, 7, 36, 34, 30, 22, 6, 35, 33, 29, 21, 5, 34, 32, 28, 20, 4, 33, 31, 27, 19, 3, 32, 30, 26, 18, 2, 31, 29, 25, 17, 1, 30, 28, 24, 16, 29, 27, 23, 15, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
95: 48, 46, 44, 40, 32, 16, 45, 43, 39, 31, 15, 44, 42, 38, 30, 14, 43, 41, 37, 29, 13, 42, 40, 36, 28, 12, 41, 39, 35, 27, 11, 40, 38, 34, 26, 10, 39, 37, 33, 25, 9, 38, 36, 32, 24, 8, 37, 35, 31, 23, 7, 36, 34, 30, 22, 6, 35, 33, 29, 21, 5, 34, 32, 28, 20, 4, 33, 31, 27, 19, 3, 32, 30, 26, 18, 2, 31, 29, 25, 17, 1, 30, 28, 24, 16, 29, 27, 23, 15, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
96: 48, 47, 45, 41, 33, 17, 46, 44, 40, 32, 16, 45, 43, 39, 31, 15, 44, 42, 38, 30, 14, 43, 41, 37, 29, 13, 42, 40, 36, 28, 12, 41, 39, 35, 27, 11, 40, 38, 34, 26, 10, 39, 37, 33, 25, 9, 38, 36, 32, 24, 8, 37, 35, 31, 23, 7, 36, 34, 30, 22, 6, 35, 33, 29, 21, 5, 34, 32, 28, 20, 4, 33, 31, 27, 19, 3, 32, 30, 26, 18, 2, 31, 29, 25, 17, 1, 30, 28, 24, 16, 29, 27, 23, 15, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
97: 49, 47, 45, 41, 33, 17, 46, 44, 40, 32, 16, 45, 43, 39, 31, 15, 44, 42, 38, 30, 14, 43, 41, 37, 29, 13, 42, 40, 36, 28, 12, 41, 39, 35, 27, 11, 40, 38, 34, 26, 10, 39, 37, 33, 25, 9, 38, 36, 32, 24, 8, 37, 35, 31, 23, 7, 36, 34, 30, 22, 6, 35, 33, 29, 21, 5, 34, 32, 28, 20, 4, 33, 31, 27, 19, 3, 32, 30, 26, 18, 2, 31, 29, 25, 17, 1, 30, 28, 24, 16, 29, 27, 23, 15, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
98: 49, 48, 46, 42, 34, 18, 47, 45, 41, 33, 17, 46, 44, 40, 32, 16, 45, 43, 39, 31, 15, 44, 42, 38, 30, 14, 43, 41, 37, 29, 13, 42, 40, 36, 28, 12, 41, 39, 35, 27, 11, 40, 38, 34, 26, 10, 39, 37, 33, 25, 9, 38, 36, 32, 24, 8, 37, 35, 31, 23, 7, 36, 34, 30, 22, 6, 35, 33, 29, 21, 5, 34, 32, 28, 20, 4, 33, 31, 27, 19, 3, 32, 30, 26, 18, 2, 31, 29, 25, 17, 1, 30, 28, 24, 16, 29, 27, 23, 15, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1, 
99: 50, 48, 46, 42, 34, 18, 47, 45, 41, 33, 17, 46, 44, 40, 32, 16, 45, 43, 39, 31, 15, 44, 42, 38, 30, 14, 43, 41, 37, 29, 13, 42, 40, 36, 28, 12, 41, 39, 35, 27, 11, 40, 38, 34, 26, 10, 39, 37, 33, 25, 9, 38, 36, 32, 24, 8, 37, 35, 31, 23, 7, 36, 34, 30, 22, 6, 35, 33, 29, 21, 5, 34, 32, 28, 20, 4, 33, 31, 27, 19, 3, 32, 30, 26, 18, 2, 31, 29, 25, 17, 1, 30, 28, 24, 16, 29, 27, 23, 15, 28, 26, 22, 14, 27, 25, 21, 13, 26, 24, 20, 12, 25, 23, 19, 11, 24, 22, 18, 10, 23, 21, 17, 9, 22, 20, 16, 8, 21, 19, 15, 7, 20, 18, 14, 6, 19, 17, 13, 5, 18, 16, 12, 4, 17, 15, 11, 3, 16, 14, 10, 2, 15, 13, 9, 1, 14, 12, 8, 13, 11, 7, 12, 10, 6, 11, 9, 5, 10, 8, 4, 9, 7, 3, 8, 6, 2, 7, 5, 1, 6, 4, 5, 3, 4, 2, 3, 1, 2, 1,
average density = 79 items/iteration
A road to injustice

Saturday, August 17, 2013

Exploiting exponential curve

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