g0801_0900.s0823_binary_trees_with_factors.Solution Maven / Gradle / Ivy
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Java-based LeetCode algorithm problem solutions, regularly updated
package g0801_0900.s0823_binary_trees_with_factors;
// #Medium #Array #Hash_Table #Dynamic_Programming
// #2022_03_23_Time_28_ms_(80.54%)_Space_42.6_MB_(79.87%)
import java.util.Arrays;
import java.util.HashMap;
import java.util.Map;
public class Solution {
private Map dp = new HashMap<>();
private Map nums = new HashMap<>();
private static final int MOD = (int) 1e9 + 7;
public int numFactoredBinaryTrees(int[] arr) {
Arrays.sort(arr);
for (int i = 0; i < arr.length; i++) {
nums.put(arr[i], i);
}
long ans = 0;
for (int i = arr.length - 1; i >= 0; i--) {
ans = (ans % MOD + recursion(arr, arr[i], i) % MOD) % MOD;
}
return (int) ans;
}
private long recursion(int[] arr, int v, int idx) {
if (dp.containsKey(v)) {
return dp.get(v);
}
long ret = 1;
for (int i = 0; i < idx; i++) {
int child = arr[i];
if (v % child == 0 && nums.containsKey(v / child)) {
ret +=
(recursion(arr, child, nums.get(arr[i]))
% MOD
* recursion(arr, v / child, nums.get(v / child))
% MOD)
% MOD;
}
}
dp.put(v, ret);
return ret;
}
}