Number Choosing Contest.

28

331

225

315

30

28

331

225

315

30

28: breaks YZ & 4 and 5.
331: breaks YZ & 1, 3 and 4.
225: breaks YZ & 1, 2, 3 and 5.
315: breaks YZ & 1, 2, 3 and 5.
30: breaks YZ & 2, 4 and 5.

I think I've got rule 2 down.

Time to fill more integers, anyway

27, 29, 31, 33, 35

Okay so there has to be a large number that meets rule 1.

Because if I understand rule 2 and 4 there are no numbers less than 100 that meet both.


99

98

97

46189

130321

I think I've got rule 2 down.

It is the easiest of the lot, I think, followed by 4 and then probably 3. I'm not sure which of 1 and 5 is more cruel. They're both pretty mean.

Time to fill more integers, anyway

27, 29, 31, 33, 35

27: breaks YZ & 1, 2, 4 and 5.
29: breaks YZ & 2 and 4.
31: breaks YZ & 1 and 4.
33: breaks YZ & 1, 2, 4 and 5.
35: breaks YZ & 2, 4 and 5.

Okay so there has to be a large number that meets rule 1.

Because if I understand rule 2 and 4 there are no numbers less than 100 that meet both.


99

98

97

46189

130321

99: breaks YZ & 1, 2, 3, 4 and 5.
98: breaks YZ & 1, 2, 3 and 4.
97: breaks YZ & 1, 3 and 4.
46189: breaks YZ & 1, 2 and 3.
130321: breaks YZ & 1, 2 and 3.

Does that back up your hypotheses? *wink*

I think so!

Now for some guessing!

103

127

The smallest integer within the range of [100, 200] that does not break rule 1.

32

59

34, 36, 37, 40, 104

I think so!

Now for some guessing!

103

127

The smallest integer within the range of [100, 200] that does not break rule 1.

32

59

103: breaks YZ & 1, 3 and 4.
127: breaks YZ & 1, 2, 3 and 4.
???: breaks XY & 2, 3 and 5.
32: breaks YZ & 4 and 5.
59: breaks YZ & 1, 2, 3 and 4.

34, 36, 37, 40, 104

34: breaks YZ & 2 and 4.
36: breaks YZ & 1, 2, 3 and 5.
37: breaks YZ & 1, 2, 3, 4 and 5.
40: breaks YZ & 2, 3 and 5.
104: breaks YZ & 2, 3 and 5.

38, 39, 41, 42, 43

38, 39, 41, 42, 43

38: breaks YZ & 1, 2, 3 and 4.
39: breaks YZ & 1, 2, 3, 4 and 5.
41: breaks YZ & 1, 2, 3, 4 and 5.
42: breaks YZ & 2, 3, 4 and 5.
43: breaks YZ & 1, 2, 3 and 4.

54, 52, 45, 46, 64

54, 52, 45, 46, 64

54: breaks YZ & 1, 2, 3 and 5.
52: breaks YZ & 2, 3, 4 and 5.
45: breaks YZ & 2, 3, 4 and 5.
46: breaks YZ & 2, 3 and 4.
64: breaks YZ & 2, 3 and 5.

256, 47, 48, 49, 50

256, 47, 48, 49, 50

256: breaks YZ & 2, 3 and 5.
47: breaks YZ & 1, 2, 3 and 4.
48: breaks YZ & 2, 3, 4 and 5.
49: breaks YZ & 1, 3 and 4.
50: breaks YZ & 1, 2, 3, 4 and 5.

1, 2, 3, 4, 5

TEN BILLION

ONE MILLION... AND ONE!!!

ONE MILLION... LESS ONE!!!!!!

i just want to post numbers but they're all gone

101, 102, 103, 104, 105

1, 2, 3, 4, 5

ONE MILLION... AND ONE!!!

ONE MILLION... LESS ONE!!!!!!

These have all already been done!

TEN BILLION

10000000000: breaks YZ & 1, 3 and 5.

i just want to post numbers but they're all gone

We both know that's not true.

101, 102, 103, 104, 105

101, 103, 104: all already done.
102: breaks YZ & 1, 2, 3 and 4.
105: breaks YZ & 1, 2, 3, 4 and 5.

ONE MILLION AND TWO THEN GEEZ

why is everyone posting random numbers, why can't people give these numbers consecutively? grr

73, 74, 75, 76, 77

56, 60, 81, 84

SpoilerShow

111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000111111111111111000

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