Medium
Binary Trees With Factors — C++
Full explanation · Time O(n^2) · Space O(n)
// Time: O(n^2)
// Space: O(n)
class Solution {
public:
int numFactoredBinaryTrees(vector<int>& A) {
static const int M = 1e9 + 7;
sort(A.begin(), A.end());
unordered_map<int, int64_t> dp;
for (int i = 0; i < A.size(); ++i) {
dp[A[i]] = 1;
for (int j = 0; j < i; ++j) {
if (A[i] % A[j] == 0 && dp.count(A[i] / A[j])) {
dp[A[i]] = (dp[A[i]] + dp[A[j]] * dp[A[i] / A[j]]) % M;
}
}
}
return accumulate(dp.cbegin(), dp.cend(), 0L,
[](int64_t x, const pair<int, int>& p) {
return x + p.second;
}) % M;
}
};