vector<int> add(const vector<int> &a, const vector<int> &b) {
vector<int> c;
int carry = 0;
int n = max(a.size(), b.size());
for (int i = 0; i < n; i++) {
int sum = carry;
if (i < a.size())
sum += a[i];
if (i < b.size())
sum += b[i];
c.push_back(sum % 10);
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}
if (carry)
c.push_back(carry);
return c;
}