Minimum Cost Subarray with Sum at Least KHard

Minimum Cost Subarray with Sum at Least K

HardPractice library · +30 XPsliding windowprefix sumsmonotonic queue

Given an array A of N integers and an integer K, find the length of the shortest contiguous subarray whose sum is at least K. If no such subarray exists, return -1.

Input

The first line contains two integers N and K. The second line contains N space-separated integers representing the array A.

Output

Print a single integer: the length of the shortest subarray with sum at least K, or -1 if none exists.

Constraints

1 <= N <= 200000 1 <= K <= 10^15 -10^9 <= A[i] <= 10^9

Time limit 2 s (native code; slower languages get more)Memory 256 MB16 hidden tests

Example 1

Input
3 4
2 3 -1
Output
2

The subarray [2, 3] has sum 5 >= 4 and length 2, which is the shortest.

Example 2

Input
5 7
1 1 1 1 1
Output
-1

The shortest subarray with sum at least 7 does not exist. The total sum is 5.

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