SDE Path

Longest Subarray with Sum K (Mixed Signs)

Medium

Longest Subarray with Sum K (Mixed Signs)

Given an array that may contain negative numbers, find the longest subarray summing to K using prefix sums.

Input format

The first line contains N and K. The second line contains N integers (possibly negative).

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
6 3
1 -1 2 2 -2 3
Expected output
3
Example 2
Input
3 50
-1 -2 -3
Expected output
0