Maximize Operations to Move Ones to End in Binary String

𝐃𝐚𝐲 𝟏𝟖 𝐨𝐟 #50DaysOfDSA 𝐋𝐞𝐞𝐭𝐂𝐨𝐝𝐞 𝟑𝟐𝟐𝟖 — 𝐌𝐚𝐱𝐢𝐦𝐮𝐦 𝐍𝐮𝐦𝐛𝐞𝐫 𝐨𝐟 𝐎𝐩𝐞𝐫𝐚𝐭𝐢𝐨𝐧𝐬 𝐭𝐨 𝐌𝐨𝐯𝐞 𝐎𝐧𝐞𝐬 𝐭𝐨 𝐭𝐡𝐞 𝐄𝐧𝐝 (𝐌𝐞𝐝𝐢𝐮𝐦) 𝐏𝐫𝐨𝐛𝐥𝐞𝐦 𝐋𝐢𝐧𝐤 - https://lnkd.in/gu-Rnxuv 𝐒𝐨𝐥𝐮𝐭𝐢𝐨𝐧 𝐋𝐢𝐧𝐤 - https://lnkd.in/gvh4gS2z Ever thought how many times you can shift all '1's to the end of a binary string? That’s exactly what this problem challenges you to find! 𝐏𝐫𝐨𝐛𝐥𝐞𝐦 𝐒𝐮𝐦𝐦𝐚𝐫𝐲: You’re given a binary string s. In one operation, you can pick an index i where s[i] == '1' and s[i+1] == '0', and move that '1' to the right until it reaches the end or just before another '1'. Your goal find the maximum number of such operations possible. 𝐈𝐧𝐭𝐮𝐢𝐭𝐢𝐨𝐧: Instead of simulating the moves, observe that: Each '1' can contribute operations only when it faces zeros that form a boundary (zero-block end). So, every time we hit the last zero of a block, we can add the count of '1's before it. This insight keeps the solution linear O(n) time, O(1) space! 𝐓𝐚𝐤𝐞𝐚𝐰𝐚𝐲: Sometimes, the key to optimizing problems isn’t simulation, it’s pattern recognition. Spot the structure → derive the formula → simplify! #LeetCode #Java #CodingChallenge #DSA #ProblemSolving #Programming #50DaysOfCode

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