Partition Problem (Equal Sum Subset)?
Short answer: bool CanPartition(int[] nums) { int sum = nums.Sum(); Follow on: if (sum % 2 != 0) return false; int target = sum / 2; bool[] dp = new bool[target + 1]; dp[0] = true; foreach (int num in nums) { for (int j = target; j >= num; j--) { dp[j] = dp[j] || dp[j - num]; } } return dp[target]; } Explanation: Subset sum to check if half the total sum is achievable. Sorting and Searching
Example code
bool CanPartition(int[] nums) {
int sum = nums.Sum(); Follow on: if (sum % 2 != 0) return false;
int target = sum / 2;
bool[] dp = new bool[target + 1];
dp[0] = true;
foreach (int num in nums)
{
for (int j = target; j >= num; j--)
{
dp[j] = dp[j] || dp[j - num];
}
}
return dp[target];
} Explanation: Subset sum to check if half the total sum is achievable. Sorting and Searching
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
- Define — one clear sentence (the short answer above).
- Example — relate it to a project like ShopNest or your real work.
- Trade-off — when you would not use it.
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