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BrainteasersJane StreetOptiver

SEND + MORE = MONEY

In the addition

  S E N D
+ M O R E
---------
M O N E Y

each letter stands for a different digit (0 to 9), and no number begins with 0.

Find the digits. Work it out by reasoning rather than search, starting from the leftmost column.

Show a hint

The sum of two four-digit numbers is at most 19,998, so M, the leading digit of the five-digit result, must be 1. Then look at the thousands column: S + M plus a possible carry gives a two-digit result starting with 1.

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