Problem LINK I am not able to understand the DP solution of this problem.What does the state represent ? Some solution Links using this DP First Second Third

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I am trying to solve this I learned about euler path . I understood how we make a edge between s[0]s[1]->s[1]s[2] and we have calculated whether a euler path exist or not . if it exist we did dfs i can't understand this type of dfs . if somebody can help me solving this somebody's accepted code

Question : RRFRNDS I used brute force to solve this and was expecting a TLE but got a WA instead Somebody provide me some hints to solve this