Known are five numbers: 1, 2, 3, 4, and 5, arranged clockwise. The number after 1 is 2, after 2 is 3, after 3 is 4, after 4 is 5, and after 5 is 1. Whenever two adjacent numbers meet, it triggers a foldback to the digit before the starting number. For example, when 1 and 2 meet, it triggers a foldback, going from 2 back to 1, and then from 1 back to 5, denoted as 1☺2=5; when 2 and 3 meet, it triggers a foldback, going from 3 back to 2 and then from 2 back to 1, denoted as 2☺3=1; and so on. We have the following equations:
1 ☺ 2 = 5
2 ☺ 3 = 1
3 ☺ 4 = 2
4 ☺ 5 = 3
5 ☺ 1 = 4
Based on this, we have the following rules:
(1) 1☺1=4, 2☺2=5, 3☺3=1, 4☺4=2, 5☺5=3
(2) When the digit 3 appears after the operator ☺, ▲3 becomes ♠3 or ♥3, and ▽3 becomes ♦3 or ♣3. ♠3=5, ♣3=4, ♥3=2, ♦3=1. Only the digit 3 can be represented by ♠, ♣, ♥, or ♦; other digits can only be represented by ▲ or ▽.
(3) ▲ can only meet ▲, ♠, or ♥; ▽ can only meet ▽, ♦, or ♣.
(4) ▽1, ▽2, ▽3, ▽4, ▽5 cannot have the same value; ▲1, ▲2, ▲3, ▲4, ▲5 cannot have the same value.
The following equations are all true:
▽1☺▽2=2
▽2☺♦3=▽2☺♣3=5
▽3☺▽4=3
▽4☺▽5=4
▽5☺▽1=4 ▲1☺▲2=4
▲2☺♠3=▲2☺♥3=3
▲3☺▲4=3
▲4☺▲5=3
▲5☺▲1=4
▽3☺▽2=1
▽4☺▽2=4
▽2☺▽1=2
▲4☺▲2=3
Now, let's find the values of the unknowns:
▽1 = ? ▽2 = ? ▽3 = ? ▽4 = ? ▽5 = ? ▲1 = ? ▲2 = ? ▲3 = ? ▲4 = ? ▲5 = ?
