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.

제약 조건

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

예시

입력:
numbers = [4, 2, 5, 3]

예상 출력:
expected = [0, 0, 2, 2]

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

예상 출력:
std::vector<long long> expected = {0, 0, 2, 2};

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

예상 출력:
long[] expected = new long[] {0, 0, 2, 2};

입력:
numbers = [2, 2, 2]

예상 출력:
expected = [0, 0, 0]

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

예상 출력:
std::vector<long long> expected = {0, 0, 0};

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

예상 출력:
long[] expected = new long[] {0, 0, 0};

참고 자료

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• CSES: Nearest Smaller Values