using System;
using System.Collections.Generic;
using System.Text;
using System.Linq;

class Program
{
    public void Proc()
    {
        Reader.IsDebug = false;
        long[] inpt = Reader.ReadLine().Split(' ').Select(a=>long.Parse(a)).ToArray();
        int countInBox = (int)inpt[0];
        long mustEat = inpt[1];
        this.IceList = Reader.ReadLine().Select(a=>int.Parse(a.ToString())).ToArray();
        long ans = 0;
        if(this.IceList.Sum(a=>a) > this.IceList.Length) {
            ans = this.GetAns2(mustEat, 0);
        } else {
            ans = this.GetAns(0, 0, mustEat, 0);
        }
        Console.WriteLine(ans);

    }

    int[] IceList;

    private long GetAns(long buyCount, long getCount, long musEat, long charge) {
        if(charge >= musEat - getCount) {
            return buyCount;
        }
        long subBuy = buyCount;
        long subGet = getCount;
        long subCharge = charge;

        if(dic.ContainsKey(charge)) {
            long buyTemp = buyCount - this.dic[charge].BuyCount;
            long getTemp = getCount - this.dic[charge].GetCount;

            long remain = musEat - getCount;
            if(remain > getTemp) {
                long mul  = remain / getTemp;
                subBuy = buyTemp * mul;
                subGet = getTemp * mul;
            }
        } else {
            dic.Add(charge, new HakoState(buyCount, getCount));
        }
        for(int i=0; i<this.IceList.Length && subGet<musEat; i++) {
            if(subCharge > 0) {
                subCharge--;
            } else {
                subBuy++;
            }
            subGet++;
            subCharge+=this.IceList[i];
        }
        if(subGet < musEat) {
            subBuy = this.GetAns(subBuy, subGet, musEat, subCharge);
        }
        return subBuy;
    }
    private long GetAns2(long remain, long charge) {
        if(remain <= charge) {
            return 0;
        }
        if(charge >=IceList.Length) {
            return 0;
        }
        long ans = 0;
        long subRemain = remain;
        long subCharge = charge;
        for(int i=0; i<IceList.Length && i<remain; i++) {
            if(subCharge > 0) {
                subCharge--;
                subRemain--;
            } else {
                ans++;
                subRemain--;
            }
            subCharge+=IceList[i];
        }
        ans += this.GetAns2(subRemain, subCharge);
        return ans;
    }

    private Dictionary<long, HakoState> dic = new Dictionary<long, HakoState>();
    
    public class HakoState {
        public long BuyCount;
        public long GetCount;

        public HakoState(long buy, long gt) {
            this.BuyCount = buy;
            this.GetCount = gt;
        }
    }

    public class Reader
    {
        public static bool IsDebug = true;
        private static String PlainInput = @"

2 5
01


 
";
        private static System.IO.StringReader Sr = null;
        public static string ReadLine()
        {
            if (IsDebug)
            {
                if (Sr == null)
                {
                    Sr = new System.IO.StringReader(PlainInput.Trim());
                }
                return Sr.ReadLine();
            }
            else
            {
                return Console.ReadLine();
            }
        }

    }
    static void Main()
    {
        Program prg = new Program();
        prg.Proc();
    }
}