Better Bridges

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With the listed set of rules, none of the four puzzles are solvable. You need to "upgrade" some of the rules in order to be able to solve them.

red

Puzzles with red borders are allowed to have triple bridges.

green

Puzzles with green borders are allowed to have 45-degree diagonal bridges.

blue

Puzzles with blue borders are allowed to have bridges that intersect with each other.

extraction

Which bridges used the modified rules? Those bridges will give you the answer.

Rules of Hashi:
Connect the circles (“islands”) with straight bridges such that all the circles form one connected component, and
  • At most two bridges connect each pair of islands;
  • All bridges are horizontal or vertical;
  • No two bridges intersect each other.
Furthermore, the number in each circle indicates how many bridges it is connected to. Each puzzle has a unique solution.