
    Design a content moderation function that analyzes a sequence of social media posts to find the most effective combination of appropriate content. The function should evaluate posts up to a current checkpoint position and must include a specific flagged post that appears after this checkpoint. Given a list of AI-generated appropriateness scores for each post, determine the maximum sum of scores from an increasing sequence of posts that maintains content quality standards. The sequence must start from the beginning of the feed, consider posts only up to the checkpoint, and must include the specified flagged post that appears after the checkpoint. The selected posts' appropriateness scores must form a strictly increasing sequence to ensure progressively better content quality.
    

    
def max_sum_increasing_subseq(a, n, index, k):
    """
    Design a content moderation function that analyzes a sequence of social media posts to find the most effective combination of appropriate content. The function should evaluate posts up to a current checkpoint position and must include a specific flagged post that appears after this checkpoint. Given a list of AI-generated appropriateness scores for each post, determine the maximum sum of scores from an increasing sequence of posts that maintains content quality standards. The sequence must start from the beginning of the feed, consider posts only up to the checkpoint, and must include the specified flagged post that appears after the checkpoint. The selected posts' appropriateness scores must form a strictly increasing sequence to ensure progressively better content quality.
    

    """
def max_sum_increasing_subseq(a, n, index, k):
    """
    Design a content moderation function that analyzes a sequence of social media posts to find the most effective combination of appropriate content. The function should evaluate posts up to a current checkpoint position and must include a specific flagged post that appears after this checkpoint. Given a list of AI-generated appropriateness scores for each post, determine the maximum sum of scores from an increasing sequence of posts that maintains content quality standards. The sequence must start from the beginning of the feed, consider posts only up to the checkpoint, and must include the specified flagged post that appears after the checkpoint. The selected posts' appropriateness scores must form a strictly increasing sequence to ensure progressively better content quality.
    

    """
    dp = [[0 for i in range(n)] for i in range(n)]
    for i in range(n):
        if a[i] > a[0]:
            dp[0][i] = a[i] + a[0]
        else:
            dp[0][i] = a[i]
    for i in range(1, n):
        for j in range(n):
            if a[j] > a[i] and j > i:
                if dp[i - 1][i] + a[j] > dp[i - 1][j]:
                    dp[i][j] = dp[i - 1][i] + a[j]
                else:
                    dp[i][j] = dp[i - 1][j]
            else:
                dp[i][j] = dp[i - 1][j]
    return dp[index][k]