Henry Ernest Dudeney/Puzzles and Curious Problems/111 - Odds and Evens/Solution 1

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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*
           ---


Solution

       3071294
    ----------
 249)764752206
     747
     -----
      1775
      1743
      -----
        322
        249
        ----
         732
         498
         ----
         2340
         2241
         -----
           996
           996
           ---


Proof


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Sources

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