文章目录
思路
解题方法
复杂度
时间复杂度:
空间复杂度:
Code
class Solution {
public static int MAXN = 1 << 20;
public static int[] lsum = new int[MAXN];
public static int[] rsum = new int[MAXN];
public static int fill;
public static int minAbsDifference(int[] nums, int goal) {
int n = nums.length;
int min = 0;
int max = 0;
for (int i = 0; i < n; i++) {
if (nums[i] < 0) {
min += nums[i];
} else if (nums[i] > 0) {
max += nums[i];
}
}
if (max < goal) {
return Math.abs(max - goal);
}
if (min > goal) {
return Math.abs(min - goal);
}
Arrays.sort(nums);
fill = 0;
dfs(nums, 0, n >> 1, 0, lsum);
int lsize = fill;
fill = 0;
dfs(nums, n >> 1, n, 0, rsum);
int rsize = fill;
Arrays.sort(lsum, 0, lsize);
Arrays.sort(rsum, 0, rsize);
int ans = Math.abs(goal);
for (int i = 0, j = rsize - 1; i < lsize; i++) {
while (j > 0 && Math.abs(goal - lsum[i] - rsum[j - 1]) <= Math.abs(goal - lsum[i] - rsum[j])) {
j--;
}
ans = Math.min(ans, Math.abs(goal - lsum[i] - rsum[j]));
}
return ans;
}
public static void dfs(int[] nums, int i, int e, int s, int[] sum) {
if (i == e) {
sum[fill++] = s;
} else {
int j = i + 1;
while (j < e && nums[j] == nums[i]) {
j++;
}
for (int k = 0; k <= j - i; k++) {
dfs(nums, j, e, s + k * nums[i], sum);
}
}
}
}