LinkedIn Tango #611 Answer & Analysis

Start by marking every originally given symbol from the start board. These givens set up immediate balance constraints (many Suns on the left side, one given Moon at R6C2).

The Equal edge between R5C4 and R6C4 forces those two cells to be identical. Considering the row balances for R5 and R6 (both need to reach three Suns and three Moons), the consistent assignment is to make both of these cells Sun.

Cross edges R1C5↔R2C5 and R1C6↔R2C6 force opposite symbols between each pair. Since rows 1 and 2 already have two Suns each (R?C2 and R?C3 givens), using those Cross relations plus balance forces R1 to take the opposite symbol of R2 in those columns. Following those constraints leads to R1C5 = Moon / R2C5 = Sun and R1C6 = Sun / R2C6 = Moon.

Look for columns with two adjacent identical symbols (from givens or placements). For example, column 1 has Suns at R5C1 and R6C1 (both givens) — to avoid three Suns in a column you must place a Moon at R4C1. Use this technique for other columns/rows that could otherwise form three-in-a-row.

After applying edge constraints and eliminating three-in-a-row possibilities, fill the remaining cells so each row and column reaches exactly three Suns and three Moons. The remaining placements are forced by those counts and the previously set Equal/Cross relationships. Verify the completed board satisfies all rules.