Problem7528--[CSES Problem Set] Nearest Smaller Values

7528: [CSES Problem Set] Nearest Smaller Values

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Time Limit : 1.000 sec  Memory Limit : 256 MiB

Description

Given an array of $n$ integers, your task is to find for each array position the nearest position to its left having a smaller value.

Input

The first input line has an integer $n$: the size of the array.
The second line has $n$ integers $x_1,x_2,\dots,x_n$: the array values.

Output

Print $n$ integers: for each array position the nearest position with a smaller value. If there is no such position, print $0$.

Constraints

$1≤n≤2⋅10^5$
$1 \le x_i \le 10^9$

Sample 1 Input

8
2 5 1 4 8 3 2 5

Sample 1 Output

0 1 0 3 4 3 3 7

HINT

相同题目:CSES 1645

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