446. Arithmetic Slices II - Subsequence

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
class Solution {
public int numberOfArithmeticSlices(int[] nums) {
if (nums.length < 3) {
return 0;
}

int n = nums.length;

// 定义 dp[i][j] 为以 nums[i] 结尾的公差值为 j 的弱等差数列的个数
List<Map<Long, Integer>> dp = new ArrayList<>(n);
for (int i = 0; i < n; i++) {
dp.add(new HashMap<>());
}

int count = 0;
for (int i = 1; i < n; i++) {
for (int j = 0; j < i; j++) {
long diff = (long)nums[i] - nums[j]; // 注意此处需要计算前显式转型
dp.get(i).put(diff, dp.get(i).getOrDefault(diff, 0) + dp.get(j).getOrDefault(diff, 0) + 1);

// dp.get(j) 的 Map 中含有 diff 说明才能组成长度大于等于 3 的等差数列
count += dp.get(j).getOrDefault(diff, 0);
}
}

return count;
}
}

References

446. Arithmetic Slices II - Subsequence