There are n pieces arranged in a line, and each piece is colored either by 'A' or by 'B'. You are given a string colors of length n where colors[i] is the color of the ith piece.Alice and Bob are playing a game where they take alternating turns removing pieces from the line. In this game, Alice moves first.Alice is only allowed to remove a piece colored 'A' if both its neighbors are also colored 'A'. She is not allowed to remove pieces that are colored 'B'.Bob is only allowed to remove a piece colored 'B' if both its neighbors are also colored 'B'. He is not allowed to remove pieces that are colored 'A'.Alice and Bob cannot remove pieces from the edge of the line.If a player cannot make a move on their turn, that player loses and the other player wins.Assuming Alice and Bob play optimally, return true if Alice wins, or return false if Bob wins. Example 1:Input: colors = "AAABABB"Output: trueExplanation:AAABABB -> AABABBAlice moves first.She removes the second 'A' from the left since that is the only 'A' whose neighbors are both 'A'.Now it's Bob's turn.Bob cannot make a move on his turn since there are no 'B's whose neighbors are both 'B'.Thus, Alice wins, so return true.Example 2:Input: colors = "AA"Output: falseExplanation:Alice has her turn first.There are only two 'A's and both are on the edge of the line, so she cannot move on her turn.Thus, Bob wins, so return false.Example 3:Input: colors = "ABBBBBBBAAA"Output: falseExplanation:ABBBBBBBAAA -> ABBBBBBBAAAlice moves first.Her only option is to remove the second to last 'A' from the right.ABBBBBBBAA -> ABBBBBBAANext is Bob's turn.He has many options for which 'B' piece to remove. He can pick any.On Alice's second turn, she has no more pieces that she can remove.Thus, Bob wins, so return false.

Make Bob WinAlice and Bob are playing a game. They have with them a binary string 𝑆S.Alice and Bob alternate making moves, with Alice going first.On their turn, a player does the following:Choose a non-empty contiguous substring of 𝑆S all of whose characters are the same, delete it from 𝑆S, and concatenate the remaining parts.More formally, choose integers 𝐿L and 𝑅R such that 1≤𝐿≤𝑅≤∣𝑆∣1≤L≤R≤∣S∣ and 𝑆𝐿=𝑆𝐿+1=…=𝑆𝑅S L​ =S L+1​ =…=S R​ , and replace 𝑆S with the string 𝑆1𝑆2…𝑆𝐿−1𝑆𝑅+1𝑆𝑅+2…𝑆∣𝑆∣S 1​ S 2​ …S L−1​ S R+1​ S R+2​ …S ∣S∣​ .This reduces the length of 𝑆S by 𝑅−𝐿+1R−L+1.Alice wins immediately when 𝑆S doesn't contain any occurrence of 11, while Bob wins immediately when 𝑆S doesn't contain any occurrence of 00. Both players will play to win.Note that if the string initially doesn't contain any occurrences of 00, Bob wins before any moves are made.Bob wants to win the game, so before the game starts, he can flip some characters of 𝑆S.That is, Bob can choose an index 𝑖i (1≤𝑖≤𝑁1≤i≤N), and set 𝑆𝑖S i​ to 00 if it was originally 11, and vice versa.Find the minimum number of flips Bob needs to make to ensure he can win.Input FormatThe first line of input will contain a single integer 𝑇T, denoting the number of test cases.Each test case consists of two lines of input.The first line of each test case contains one integer 𝑁N — the length of 𝑆S.The second line contains the binary string 𝑆S.Output FormatFor each test case, output on a new line the minimum number of flips required in 𝑆S to make Bob win.Constraints1≤𝑇≤1051≤T≤10 5 1≤𝑁≤2⋅1051≤N≤2⋅10 5 𝑆S is a binary string, i.e, contains only the characters 00 and 11.The sum of 𝑁N over all test cases won't exceed 2⋅1052⋅10 5 .Sample 1:InputOutput31031116011001101Explanation:Test case 11: Bob changes the only character of 𝑆S, resulting in 𝑆=1S=1.There are no 00's in this string, so Bob wins automatically.Test case 22: There are no 00's in the string, so Bob wins without having to change anything.Test case 33: Bob can flip the first character of the string, turning it into 111001111001.It can be shown that if the game is played on this string, Bob will win; whereas he would lose if the game is played on the initial string.

A game is played by moving a game piece left or right along a horizontal game board. The board consists of spaces of various colors, as shown. The circle represents the initial location of the game piece.Yellow Black Green Green Red Yellow Black Black Yellow Black                  ● The following algorithm indicates how the game is played. The game continues until the game is either won by landing on the red space or lost when the piece moves off either end of the board.Step 1:Place a game piece on a space that is not red and set a counter to 0.Step 2:If the game piece is on a yellow space, move the game piece 3 positions to the left and go to step 3. Otherwise, if the game piece is on a black space, move the game piece 1 position to the left and go to step 3. Otherwise, if the game piece is on a green space, move the game piece 2 positions to the right and go to step 3.Step 3:Increase the value of the counter by 1.Step 4:If game piece is on the red space or moved off the end of the game board, the game is complete. Otherwise, go back to step 2.If a game is begun by placing the game piece on the rightmost black space for step 1, what will be the value of the counter at the end of the game?Responses2233445

Problem StatementBob loves playing a string-matching game where he tries to match two strings based on a specific pattern. In this game, players input two strings, and the game determines whether they match according to a set of rules. Here are the rules of the game:A '*' in the first string represents zero or more characters.A '?' in the first string represents exactly one character.Any other character in the first string must match the corresponding character in the second string.Bob has requested your assistance in completing the game mentioned above.Input format :The first line of input consists of a string str1 containing the characters along with the symbols - ? and *.The second line consists of the string str2, without any symbols.Output format :The first line displays the "Second string: " followed by str2 as string, representing the second input string.The second line displays the following format:"The strings match" if the first string matches the second according to the pattern rules."The strings do not match" if the first string does not match the second according to the pattern rules.Refer to the sample output for the formatting specifications.Code constraints :In the given scenario, the test cases fall under the following constraints:2 ≤ length of the string (str1, str2) ≤ 15Sample test cases :Input 1 :i?mneoiamneoOutput 1 :Second string: iamneoThe strings matchInput 2 :i?miaamOutput 2 :Second string: iaamThe strings do not matchInput 3 :i*mn?oiaamneoOutput 3 :Second string: iaamneoThe strings matchInput 4 :a?b?c?d?e?f?ghaxbxcydzefffghOutput 4 :Second string: axbxcydzefffghThe strings matchInput 5 :a*cacOutput 5 :Second string: acThe strings matchNote :The program will be evaluated only after the “Submit Code” is clicked.Extra spaces and new line characters in the program output will result in the failure of the test case.

There are n𝑛 coins on the table forming a circle, and each coin is either facing up or facing down. Alice and Bob take turns to play the following game, and Alice goes first.In each operation, the player chooses a facing-up coin, removes the coin, and flips the two coins that are adjacent to it. If there are only two coins left, then one will be removed and the other won't be flipped (as it would be flipped twice). If there is only one coin left, no coins will be flipped. If there are no facing-up coins, the player loses.Decide who will win the game if they both play optimally. It can be proved that the game will end in a finite number of operations, and one of them will win.InputEach test contains multiple test cases. The first line contains the number of test cases t𝑡 (1≤t≤1001≤𝑡≤100). The description of the test cases follows.The first line of each test case contains only one positive integer n𝑛 (1≤n≤1001≤𝑛≤100), representing the number of the coins.A string s𝑠 of length n𝑛 follows on the second line of each test case, containing only "U" and "D", representing that each coin is facing up or facing down.OutputFor each test case, print "YES" if Alice will win the game, and "NO" otherwise.You can output the answer in any case (upper or lower). For example, the strings "yEs", "yes", "Yes", and "YES" will be recognized as positive responses.ExampleinputCopy35UUDUD5UDDUD2UUoutputCopyYESNONO

A string game is played by the children in a primary school.Given a string S , the children must check if it is a palindrome.A palindrome is a word, phrase, or sequence that reads the same backward as forward.If  S is a palindrome , then the children must say the number of characters in that string.If S is not a palindrome , then the children must say the reverse of the string.Write a function game and implement the above scenario.