Henry Ernest Dudeney/Puzzles and Curious Problems/111 - Odds and Evens

Puzzles and Curious Problems by Henry Ernest Dudeney: $111$

Odds and Evens

Every asterisk and letter represents a figure,

and "$\mathtt O$" stands for an odd figure ($1$, $3$, $5$, $7$, or $9$)

while "$\mathtt E$" represents an even figure ($2$, $4$, $6$, $8$, or $0$).

Can you construct an arrangement complying with these conditions?

There are $6$ solutions.

Can you find one, or all of them?

       *******
    ----------
 ***)*********
     OE*
     -----
      ****
      OO**
      -----
        ***
        EE*
        ----
         ***
         EO*
         ----
         ****
         EE**
         -----
           ***
           OO*
           ---

Historical Note

This puzzle was originally submitted to Henry Ernest Dudeney by a person identified merely as the Rev. E. F. O.

Sources

• 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Digital Puzzles: $111$. -- Odds and Evens
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Skeleton Puzzles: $148$. Odds and Evens