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According to the Bible, 666 is the “number of the beast”. Indeed, in Revelation 13: 18 it is said:
“…count the number of the beast: for it is the
number of a man; and his number is 666.”
Many theologists have associated 666 with the Antichrist. Believe it or not, 666 has many interesting numerological properties. For instance,

Another curious property is that it is possible (there are exactly two ways) to insert ‘+’ signs into the number 123456789 to get 666:
666 = 1 + 2 + 3 + 4 + 567 + 89 = 123 + 456 + 78 + 9 , 
and it is also possible (there is exactly one way) to do the same with the number 987654321:
666 = 9 + 87 + 6 + 543 + 21 . 
Let’s play numerology. Write a program such that, given two numbers n and m, prints all the ways to insert ‘+’ signs into m so that the sum is n.
Input
Input consists of several cases. Every case has two strictly positive natural numbers n and m, each not larger than 10^{12}. Assume that the leftmost digit of n and of m is never zero.
Output
For every case, print all the ways to get n by adding the digits of m as explained above. The solutions must appear in lexicographical order. If no solution exists, state so.
Input
666 987654321 5 321 4 1003
Output
666 = 9 + 87 + 6 + 543 + 21 No solution for 5 321. 4 = 1 + 0 + 0 + 3 4 = 1 + 0 + 03 4 = 1 + 00 + 3 4 = 1 + 003