DP with step by step explanation.
\n\n# Code\n\nclass Solution:\n    def maxNonDecreasingLength(self, nums1: List[int], nums2: List[int]) -> int:\n        n = len(nums1)\n        dp = [[0, 0] fo
\n\n# Code\n```\nclass Solution:\n    def maxNonDecreasingLength(self, nums1: List[int], nums2: List[int]) -> int:\n        n = len(nums1)\n        dp = [[0, 0] for _ in range(n)]\n        maxLen = 0\n\n        for i in range(n):\n            # Initialize lengths of non-decreasing subsequences at index i\n            dp[i][0] = dp[i][1] = 1\n\n            if i > 0:\n                # Update dp values based on comparisons with previous indices\n                self.update_dp(i, nums1, nums2, dp)\n\n            # Update maxLen with the maximum length at index i\n            maxLen = max(maxLen, max(dp[i][0], dp[i][1]))\n\n        return maxLen\n\n    def update_dp(self, i, nums1, nums2, dp):\n        # Update dp values based on comparisons with previous indices\n\n        if nums1[i] >= nums1[i - 1]:\n            # Extend non-decreasing subsequence ending at nums1[i-1] with nums1[i]\n            dp[i][0] = dp[i - 1][0] + 1\n\n        if nums1[i] >= nums2[i - 1]:\n            # Extend non-decreasing subsequence ending at nums2[i-1] with nums1[i]\n            dp[i][0] = max(dp[i][0], dp[i - 1][1] + 1)\n\n        if nums2[i] >= nums1[i - 1]:\n            # Extend non-decreasing subsequence ending at nums1[i-1] with nums2[i]\n            dp[i][1] = dp[i - 1][0] + 1\n\n        if nums2[i] >= nums2[i - 1]:\n            # Extend non-decreasing subsequence ending at nums2[i-1] with nums2[i]\n            dp[i][1] = max(dp[i][1], dp[i - 1][1] + 1)\n\n\n```
['Dynamic Programming', 'Python3']