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package g0501_0600.s0528_random_pick_with_weight;
// #Medium #Math #Binary_Search #Prefix_Sum #Randomized #Binary_Search_II_Day_13
// #2022_07_28_Time_42_ms_(50.90%)_Space_60.1_MB_(13.48%)
import java.util.Comparator;
import java.util.Objects;
import java.util.Random;
import java.util.TreeSet;
@SuppressWarnings("java:S2245")
public class Solution {
private int prefix;
private final Random random;
private final TreeSet treeSet;
public Solution(int[] w) {
prefix = 0;
treeSet = new TreeSet<>(Comparator.comparingInt(a -> a[0]));
for (int i = 0; i < w.length; i++) {
prefix += w[i];
treeSet.add(new int[] {prefix, i});
}
random = new Random();
}
public int pickIndex() {
int target = random.nextInt(prefix) + 1;
return Objects.requireNonNull(treeSet.ceiling(new int[] {target, 1}))[1];
}
}
/*
* Your Solution object will be instantiated and called as such:
* Solution obj = new Solution(w);
* int param_1 = obj.pickIndex();
*/
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