Nearest Smaller Value to the Left

For each number, find the closest earlier position containing a strictly smaller number. Equal numbers do not qualify. Positions start at 1; use 0 when there is no smaller number to the left.

Implement nearest_smaller_value(numbers).

Input

numbers: Numbers in their original order.

Output

Return one earlier position (or 0) for every input value.

制約

0…200,000 integers, each between −1,000,000,000 and 1,000,000,000. Empty input returns an empty list.

例

入力：
numbers = [4, 2, 5, 3]

期待される出力：
expected = [0, 0, 2, 2]

入力：
std::vector<long long> numbers = {4, 2, 5, 3};

期待される出力：
std::vector<long long> expected = {0, 0, 2, 2};

入力：
long[] numbers = new long[] {4, 2, 5, 3};

期待される出力：
long[] expected = new long[] {0, 0, 2, 2};

入力：
numbers = [2, 2, 2]

期待される出力：
expected = [0, 0, 0]

入力：
std::vector<long long> numbers = {2, 2, 2};

期待される出力：
std::vector<long long> expected = {0, 0, 0};

入力：
long[] numbers = new long[] {2, 2, 2};

期待される出力：
long[] expected = new long[] {0, 0, 0};

参考資料

この課題はCodeUtility用に調整されています。上記の説明と制約に従ってください。

• CSES: Nearest Smaller Values