This year (by June 2010) IT already happened thrice and will occur one more time, on October 1st.
Next time SAME THING will occur on two different dates in 2011 and on 6 different dates in 2012.
In 2013 - only during one day and then in the following years IT will present itself at least
once a year till 2036.
In 2037 - not even once.
What is IT (a.k.a. SAME THING )?
If IT = f(YEAR) what is f(2020)?
In what year in this century f(YEAR) is maximal?
(In reply to
What IT is (parts 1 and 2) (spoiler) by Steve Herman)
f(2060) is only 6 as month 2 has only 29 days.
7 is indeed the maximum, though, in 2024, having months 1, 2, 3, 4, 6, 8 and 12.
(Not that I was able to figure out the rule, but once you got the rule, I could produce the table below.)
01 1 34 1 67 0
02 2 35 2 68 1
03 2 36 6 69 1
04 3 37 0 70 3
05 2 38 1 71 0
06 4 39 1 72 6
07 2 40 5 73 0
08 4 41 0 74 0
09 3 42 4 75 2
10 4 43 0 76 1
11 2 44 3 77 2
12 6 45 3 78 2
13 1 46 1 79 0
14 3 47 0 80 4
15 3 48 6 81 2
16 4 49 1 82 0
17 1 50 3 83 0
18 5 51 1 84 5
19 1 52 2 85 1
20 5 53 0 86 0
21 3 54 4 87 1
22 3 55 2 88 3
23 1 56 4 89 0
24 7 57 1 90 5
25 2 58 0 91 1
26 2 59 0 92 1
27 3 60 6 93 1
28 4 61 0 94 0
29 1 62 0 95 1
30 6 63 3 96 4
31 1 64 2 97 0
32 3 65 1 98 1
33 2 66 3 99 2
produced by
DEFDBL A-Z
CLS
DIM l(12)
DATA 31,28,31,30,31,30,31,31,30,31,30,31
FOR i = 1 TO 12: READ l(i): NEXT
FOR i = 1 TO 99
IF i MOD 4 = 0 THEN l(2) = 29: ELSE l(2) = 28
ct = 0
FOR mo = 1 TO 12
d = i / mo
IF d = INT(d) THEN
IF d <= l(mo) THEN ct = ct + 1
c = INT((i - 1) / 33): r = (i - 1) MOD 33
c = c * 15 + 1
r = r + 1
LOCATE r, c
PRINT USING "## ##"; i; ct
END IF
NEXT
NEXT
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Posted by Charlie
on 2010-07-03 16:20:22 |
re: What IT is (parts 1 and 2) (spoiler)
