Maximum Sum Increasing Subsequence?

Short answer: int MaxSumIncreasingSubsequence(int[] nums) { int n = nums.Length; int[] dp = new int[n]; Array.Copy(nums, dp, n); for (int i = 1; i < n; i++) { for (int j = 0; j < i; j++) { Follow on: if (nums[i] > nums[j]) dp[i] = Math.Max(dp[i], dp[j] + nums[i]); } } return dp.Max(); }

Example code

int MaxSumIncreasingSubsequence(int[] nums) {
int n = nums.Length;
int[] dp = new int[n]; Array.Copy(nums, dp, n); for (int i = 1; i < n; i++) {
for (int j = 0; j < i; j++) { Follow on: if (nums[i] > nums[j])
dp[i] = Math.Max(dp[i], dp[j] + nums[i]);
}
}
return dp.Max();
}

Real-world example (ShopNest)

In coding rounds, state complexity aloud, write a clear ShopNest-flavored example (orders, carts), then handle edge cases (empty list, null, overflow).

Say this in the interview

1. Define — one clear sentence (the short answer above).
2. Example — relate it to a project like ShopNest or your real work.
3. Trade-off — when you would not use it.