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Question

I can fit the surnames of all

38 presidential surnames into

an 18 by 12 grid as follows:


MSEYAHM-GNIDRAHSUB
NOXINJC--GNANAHCUB
RRN--EKNAGAERADAMS
UEORFFILLMORETNARG
HTTOOFNOSLIWF-A-NH
TRGORELYTSEGDILOOC
RANSDREWOHNESIEOSL
ACIE-SYNERUBNAVLII
MKHVNOSKCAJC-EE-DN
ALSE-NOSNHOJROLYAT
BOAL-TAFTLPIERCEMO
OPWT-KENNEDYTRUMAN
[/code] Every letter in this grid is part of at least one presidential surname. These names are written in the grid either vertically, horizontally, or diagonally. They may also be put in forwards or backwards. Usually, leftover grid positions, here containing a dash, are replaced by random letters. This, then, becomes a word search puzzle. The solver is asked to find all the target words (in this case, presidential surnames) which are in the grid. The tables could be turned and we can make a much harder puzzle: Find and fill the smallest possible rectangular grid (in terms of the number of cells) which contains all presidential surnames in word search puzzle fashion. But I propose the following puzzle: Place all presidential surnames in word search fashion in such a way that the partially filled-in grid made this way contains the fewest letters. For example, this grid contains 189 letters and all required surnames:
[code]
----------------C-V-------------
---------------L--A-------------
--------------E---N-------------
-------------VI---B----------R--
------TFAT--E-SEN-U---------E---
---------MTLEVESOOR--R-----T----
ECREIPML--AG--NOSREFFEJNH-R-----
--L---AI-NDBUCHANAN--L-ADAMS----
---I--DNDI--O-OOH-AO-YRMC-Y-----
----N-ICLY--H-WFO-G-MT-U-K-E---Y
-----TSOE-N-RAEOJVA-H--R--S-S-D-
------OLI-NOSIRRAHEUG--T---O-E--
-----CNNF-LHSUBDO-RR-----P--N---
-----I--RYI--L--IMA------O-N----
----K---AN---NIXONL------LE-----
---C---TG------WT-GL-----K------
--M----T------------I-----------
------O--------------F----------
-----N--------------------------
Can you find a grid which contains much fewer than 189 letters? Here is the complete list of presidential surnames (comprising 252 letters):

EISENHOWER
WASHINGTON
JEFFERSON
CLEVELAND
ROOSEVELT
VANBUREN
HARRISON
FILLMORE
BUCHANAN
GARFIELD
MCKINLEY
COOLIDGE
MADISON
JACKSON
LINCOLN
JOHNSON
HARDING
KENNEDY
CLINTON
MONROE
TAYLOR
PIERCE
ARTHUR
WILSON
HOOVER
TRUMAN
CARTER
REAGAN
TYLER
ADAMS
GRANT
HAYES
NIXON
OBAMA
POLK
TAFT
FORD
BUSH
[/code]

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