SDE Path

Longest Subarray with Sum K (Positives)

Medium

Longest Subarray with Sum K (Positives)

Given an array of positive integers, find the length of the longest subarray whose elements sum to exactly K.

Input format

The first line contains N and K. The second line contains N positive integers.

Output format

Print the length of the longest subarray with sum exactly K (0 if none exists).

Constraints

  • Values fit in a 64-bit signed integer
  • Trailing whitespace and a trailing newline are ignored by the judge

Read from stdin, write to stdout. Sample cases below show the exact format.

Sample cases

Example 1
Input
5 5
2 3 5 1 9
Expected output
2
Example 2
Input
3 100
1 2 3
Expected output
0