Consider a valid English word without hyphens or spaces, which is not a proper noun. Assign the values a=0, b=1, c=2, d=3, e=4, f=5, g=6, h=7, i=8 and j=9.

A date corresponding to a valid English word in consonance with the above assignment in mm/dd/yy format is called a "spell date". For example,the word "deface" generates 34/50/24 which is not a valid date in the mm/dd/yy format, and consequently not a spell date.

(A) Determine the respective first and last spell dates in the period covering January 1, 2001 to December 31, 2100 inclusively.

(B) What would have been the respective answers to (A) if the definition of a spell date involved a dd/mm/yy format instead?

(In reply to computer solution by Charlie)

If we allow month and day to not have leading zeros we get many more wordates:

m/d/yy

1/4/03        bead
2/7/03        chad
3/4/03        dead
4/6/03        egad
7/4/03        head
10/22/04      baccae
3/4/05        deaf
1/8/11        bibb
9/8/11        jibb
6/8/14        gibe
7/4/14        hebe
9/8/14        jibe
2/4/20        ceca
10/2/20       bacca
1/8/24        bice
3/8/24        dice
5/8/24        fice
1/8/34        bide
2/4/34        cede
4/8/34        eide
7/8/34        hide
2/4/38        cedi
8/3/40        idea
3/4/43        deed
3/8/43        died
4/11/43       ebbed
4/27/43       eched
5/4/43        feed
6/4/43        geed
6/8/43        gied
7/4/43        heed
7/8/43        hied
8/2/43        iced
9/4/43        jeed
10/18/43      babied
10/27/43      bached
6/7/44        ghee
1/4/45        beef
2/7/45        chef
5/8/45        fief
5/8/54        fife
9/4/54        jefe
1/8/55        biff
9/8/55        jiff
3/4/58        defi
6/8/60        giga
4/3/64        edge
10/3/64       badge
7/8/67        high
4/2/74        eche
2/7/80        chia
2/7/82        chic
2/7/83        chid

d/m/yy

1/4/03        bead
3/4/03        dead
7/4/03        head
4/6/03        egad
2/7/03        chad
3/4/05        deaf
24/8/10       ceiba
1/8/11        bibb
9/8/11        jibb
7/4/14        hebe
6/8/14        gibe
9/8/14        jibe
10/2/20       bacca
2/4/20        ceca
20/4/20       caeca
1/8/24        bice
3/8/24        dice
5/8/24        fice
14/4/27       beech
2/4/34        cede
1/8/34        bide
4/8/34        eide
7/8/34        hide
27/8/34       chide
2/4/38        cedi
8/3/40        idea
8/2/43        iced
18/3/43       bided
24/3/43       ceded
3/4/43        deed
5/4/43        feed
6/4/43        geed
7/4/43        heed
9/4/43        jeed
20/6/43       caged
3/8/43        died
6/8/43        gied
7/8/43        hied
4/11/43       ebbed
18/11/43      bibbed
20/11/43      cabbed
30/11/43      dabbed
6/7/44        ghee
1/4/45        beef
2/7/45        chef
5/8/45        fief
27/8/45       chief
9/4/54        jefe
5/8/54        fife
1/8/55        biff
9/8/55        jiff
3/4/58        defi
30/6/60       dagga
6/8/60        giga
4/3/64        edge
10/3/64       badge
20/3/64       cadge
14/8/64       beige
7/8/67        high
4/2/74        eche
20/2/74       cache
2/7/80        chia
2/7/82        chic
24/1/83       cebid
18/5/83       bifid
2/7/83        chid
20/11/84      cabbie

yy/m/d

01/1/4        abbe
01/4/3        abed
02/4/3        aced
02/7/4        ache
02/8/3        acid
06/4/3        aged
06/4/4        agee
08/3/4        aide
09/4/4        ajee
10/1/4        babe
10/2/7        bach
10/2/20       bacca
10/3/4        bade
10/5/5        baff
14/4/5        beef
14/4/27       beech
18/1/1        bibb
18/2/4        bice
18/3/4        bide
18/5/5        biff
20/3/4        cade
20/3/8        cadi
20/4/20       caeca
20/5/4        cafe
20/5/5        caff
20/6/4        cage
20/8/3        caid
24/3/4        cede
24/3/8        cedi
24/8/10       ceiba
27/4/5        chef
27/8/2        chic
27/8/3        chid
30/2/4        dace
30/5/5        daff
34/4/3        deed
34/5/8        defi
34/8/24       deice
38/2/4        dice
38/4/3        died
40/2/7        each
42/7/4        eche
43/6/4        edge
48/3/4        eide
50/2/4        face
50/3/4        fade
54/4/3        feed
58/2/4        fice
58/4/5        fief
58/5/4        fife
60/3/8        gadi
60/4/3        gaed
60/5/5        gaff
60/6/4        gage
64/4/3        geed
67/4/4        ghee
68/1/4        gibe
68/4/3        gied
70/3/4        hade
70/3/9        hadj
70/4/3        haed
70/9/8        haji
70/9/9        hajj
74/1/4        hebe
74/4/3        heed
78/3/4        hide
78/4/3        hied
78/6/7        high
82/4/3        iced
90/3/4        jade
90/6/6        jagg
94/4/3        jeed
94/5/4        jefe
98/1/1        jibb
98/1/4        jibe
98/5/5        jiff

Still none for yyyy/m/d

Posted by Charlie on 2012-09-03 15:02:04