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package g1901_2000.s1982_find_array_given_subset_sums;
// #Hard #Array #Divide_and_Conquer #2022_05_21_Time_70_ms_(64.91%)_Space_83.3_MB_(70.18%)
import java.util.Arrays;
public class Solution {
public int[] recoverArray(int n, int[] sums) {
Arrays.sort(sums);
int m = sums.length;
int zeroShift = 0;
int[] res = new int[n];
for (int i = 0; i < n; ++i) {
int diff = sums[1] - sums[0];
int p = 0;
int k = 0;
int zpos = m;
for (int j = 0; j < m; ++j) {
if (k < p && sums[k] == sums[j]) {
k++;
} else {
if (zeroShift == sums[j]) {
zpos = p;
}
sums[p++] = sums[j] + diff;
}
}
if (zpos >= m / 2) {
res[i] = -diff;
} else {
res[i] = diff;
zeroShift += diff;
}
m /= 2;
}
return res;
}
}
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