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‎Leetcode Daily Challenge/August-2021/10. Flip String to Monotone Increasing.cpp‎

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/*
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Flip String to Monotone Increasing
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==================================
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A binary string is monotone increasing if it consists of some number of 0's (possibly none), followed by some number of 1's (also possibly none).
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You are given a binary string s. You can flip s[i] changing it from 0 to 1 or from 1 to 0.
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Return the minimum number of flips to make s monotone increasing.
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Example 1:
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Input: s = "00110"
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Output: 1
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Explanation: We flip the last digit to get 00111.
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Example 2:
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Input: s = "010110"
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Output: 2
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Explanation: We flip to get 011111, or alternatively 000111.
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Example 3:
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Input: s = "00011000"
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Output: 2
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Explanation: We flip to get 00000000.
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Constraints:
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1 <= s.length <= 105
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s[i] is either '0' or '1'.
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*/
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class Solution
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{
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public:
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int dfs(string &s, int i, int prev, int memo[100001][2])
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{
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if (i == s.size())
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return 0;
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if (memo[i][prev] != -1)
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return memo[i][prev];
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int ans = INT_MAX;
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if (prev == 0)
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{
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ans = min(ans, (s[i] == '1' ? 1 : 0) + dfs(s, i + 1, 0, memo));
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ans = min(ans, (s[i] == '1' ? 0 : 1) + dfs(s, i + 1, 1, memo));
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}
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else
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{
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ans = min(ans, (s[i] == '1' ? 0 : 1) + dfs(s, i + 1, 1, memo));
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}
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return memo[i][prev] = ans;
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}
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int minFlipsMonoIncr(string s)
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{
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int memo[100001][2];
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memset(memo, -1, sizeof memo);
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return dfs(s, 0, 0, memo);
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}
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};

‎Leetcode Daily Challenge/August-2021/README.md‎

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# August 2021 LeetCoding Challenge
22

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| Day | Question Links | Solutions |
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| :-: | :------------------------------------------------------------------------------------------------------------------------------------------- | :--------------------------------------------: |
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| | [Optimize Water Distribution in a Village](https://leetcode.com/explore/challenge/card/august-leetcoding-challenge-2021/613/week-1-august-1st-august-7th/3834/) | [cpp](./Optimize%20Water%20Distribution%20in%20a%20Village.cpp) |
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| 1. | [Making A Large Island](https://leetcode.com/explore/challenge/card/august-leetcoding-challenge-2021/613/week-1-august-1st-august-7th/3835/) | [cpp](./01.%20Making%20A%20Large%20Island.cpp) |
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| 2. | [Two Sum](https://leetcode.com/explore/challenge/card/august-leetcoding-challenge-2021/613/week-1-august-1st-august-7th/3836/) | [cpp](./02.%20Two%20Sum.cpp) |
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| 3. | [Subsets II](https://leetcode.com/explore/challenge/card/august-leetcoding-challenge-2021/613/week-1-august-1st-august-7th/3837/) | [cpp](./03.%20Subsets%20II.cpp) |
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| 4. | [Path Sum II](https://leetcode.com/explore/challenge/card/august-leetcoding-challenge-2021/613/week-1-august-1st-august-7th/3838/) | [cpp](./04.%20Path%20Sum%20II.cpp) |
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| 5. | [Stone Game](https://leetcode.com/explore/challenge/card/august-leetcoding-challenge-2021/613/week-1-august-1st-august-7th/3870/) | [cpp](./05.%20Stone%20Game.cpp) |
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| 6. | [N-ary Tree Level Order Traversal](https://leetcode.com/explore/challenge/card/august-leetcoding-challenge-2021/613/week-1-august-1st-august-7th/3871/) | [cpp](./06.%20N-ary%20Tree%20Level%20Order%20Traversal.cpp) |
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| 7. | [Palindrome Partitioning II](https://leetcode.com/explore/challenge/card/august-leetcoding-challenge-2021/613/week-1-august-1st-august-7th/3872/) | [cpp](./07.%20Palindrome%20Partitioning%20II.cpp) |
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| 9. | [Add Strings](https://leetcode.com/explore/challenge/card/august-leetcoding-challenge-2021/614/week-2-august-8th-august-14th/3875/) | [cpp](./09.%20Add%20Strings.cpp) |
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| Day | Question Links | Solutions |
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| :-: | :-------------------------------------------------------------------------------------------------------------------------------------------------------------- | :-------------------------------------------------------------: |
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| | [Optimize Water Distribution in a Village](https://leetcode.com/explore/challenge/card/august-leetcoding-challenge-2021/613/week-1-august-1st-august-7th/3834/) | [cpp](./Optimize%20Water%20Distribution%20in%20a%20Village.cpp) |
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| 1. | [Making A Large Island](https://leetcode.com/explore/challenge/card/august-leetcoding-challenge-2021/613/week-1-august-1st-august-7th/3835/) | [cpp](./01.%20Making%20A%20Large%20Island.cpp) |
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| 2. | [Two Sum](https://leetcode.com/explore/challenge/card/august-leetcoding-challenge-2021/613/week-1-august-1st-august-7th/3836/) | [cpp](./02.%20Two%20Sum.cpp) |
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| 3. | [Subsets II](https://leetcode.com/explore/challenge/card/august-leetcoding-challenge-2021/613/week-1-august-1st-august-7th/3837/) | [cpp](./03.%20Subsets%20II.cpp) |
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| 4. | [Path Sum II](https://leetcode.com/explore/challenge/card/august-leetcoding-challenge-2021/613/week-1-august-1st-august-7th/3838/) | [cpp](./04.%20Path%20Sum%20II.cpp) |
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| 5. | [Stone Game](https://leetcode.com/explore/challenge/card/august-leetcoding-challenge-2021/613/week-1-august-1st-august-7th/3870/) | [cpp](./05.%20Stone%20Game.cpp) |
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| 6. | [N-ary Tree Level Order Traversal](https://leetcode.com/explore/challenge/card/august-leetcoding-challenge-2021/613/week-1-august-1st-august-7th/3871/) | [cpp](./06.%20N-ary%20Tree%20Level%20Order%20Traversal.cpp) |
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| 7. | [Palindrome Partitioning II](https://leetcode.com/explore/challenge/card/august-leetcoding-challenge-2021/613/week-1-august-1st-august-7th/3872/) | [cpp](./07.%20Palindrome%20Partitioning%20II.cpp) |
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| 9. | [Add Strings](https://leetcode.com/explore/challenge/card/august-leetcoding-challenge-2021/614/week-2-august-8th-august-14th/3875/) | [cpp](./09.%20Add%20Strings.cpp) |
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| 10. | [Flip String to Monotone Increasing](https://leetcode.com/explore/challenge/card/august-leetcoding-challenge-2021/614/week-2-august-8th-august-14th/3876/) | [cpp](./10.%20Flip%20String%20to%20Monotone%20Increasing.cpp) |

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