MATHEMATICAL RECREATIONS 21:F

x=g-5 43121
y =q-5° + 624
Yo = q-4-5* 4+ 499
y3 = q-4%-5% 4+ 399

Yy = q-42-52 4+ 319

vs = q-445 4 255
z=y5(4/5) = ¢4 + 204

The monkeys get 5 coconuts
the 1st man gets y1 + 2 = ¢(5°  + 4°) + 828 %
“-2d ¢ . yyd 3 =q(4:5* + 45) 4103 -
A e q(42%-53 4+ 4°) 4 603 “
Ll oY q(43-5% + 4°) 4 523 2
S Sth- U q(445 + 4% + 459 5

When # = 5, the smallest positiv value of x is 3121, corre-
sponding to ¢ = 0.
If g =0, the monkeys get S coconuts
1st man gets 828 -

‘6 zd [ ‘é 703 ‘6
(3 3d ‘é ¢ 603 ‘6
[ 4th [ [ 523 ‘s
(X3 Sth [ ‘4 459 ‘e
whose sum is 3121
39 =3, ¥ =gy 28
T = q° 33 + 8
y2 = q-2:32+ 5
y =g-2*3+ 3
=g-2% "4 2
The monkeys get 3 coconuts
the 1st man gets ¢(3% + 2%) 4 10 A
‘h 2d (¢ ‘l q(2.32 + 23) + 7 ‘¢
‘ol 3d (X3 ‘é g(22.3 + 23) + 5 ‘¢

The smallest positiv value of x is 25, corresponding to ¢ = 0.
If ¢ = 0, the monkeys get 3 coconuts
““ 1st man gets 10 >
‘l 2d [ [ 7 ‘il
& 3d 6 ‘¢ 5 6
whose sum is 235.