Given an integer sequence

of length N, you are to cut the sequence into several parts every one of which is a consecutive subsequence of the original sequence. Every part must satisfy that the sum of the integers in the part is not greater than a given integer M. You are to find a cutting that minimizes the sum of the maximum integer of each part.
输入描述:
The first line of input contains two integer N
, M. The following line contains N integers describes the integer sequence. Every integer in the sequence is between 0 and 1 000 000 inclusively.
输出描述:
Output one integer which is the minimum sum of the maximum integer of each part. If no such cuttings exist, output −1.
备注:
Use 64-bit integer type to hold M.