Problem:
Score : 500 points

Problem Statement

We have N logs of lengths A_1,A_2,\cdots A_N.

We can cut these logs at most K times in total. When a log of length L is cut at a point whose distance from an end of the log is t (0<t<L), it becomes two logs of lengths t and L-t.

Find the shortest possible length of the longest log after at most K cuts, and print it after rounding up to an integer.

Constraints

1 \leq N \leq 2 \times 10^5

0 \leq K \leq 10^9

1 \leq A_i \leq 10^9

All values in input are integers.

Input

Input is given from Standard Input in the following format:

N K
A_1 A_2 \cdots A_N

Output

Print an integer representing the answer.

Sample Input 1

2 3
7 9

Sample Output 1

4

First, we will cut the log of length 7 at a point whose distance from an end of the log is 3.5, resulting in two logs of length 3.5 each.

Next, we will cut the log of length 9 at a point whose distance from an end of the log is 3, resulting in two logs of length 3 and 6.

Lastly, we will cut the log of length 6 at a point whose distance from an end of the log is 3.3, resulting in two logs of length 3.3 and 2.7.

In this case, the longest length of a log will be 3.5, which is the shortest possible result. After rounding up to an integer, the output should be 4.

Sample Input 2

3 0
3 4 5

Sample Output 2

5

Sample Input 3

10 10
158260522 877914575 602436426 24979445 861648772 623690081 433933447 476190629 262703497 211047202

Sample Output 3

292638192

Solution in Java (OpenJDK 11.0.6) (judge verdict: Accepted)

import java.math.*;
import java.util.*;
import java.io.*;
  
public class Main { 
  
    static BufferedReader in;
    static PrintWriter out = new PrintWriter(System.out);
    static String file = "../in";
    static int test = 10; // 0 for local testing, 1 for std input
    static int inf = 1_000_000, mod = 1_000_000_007;



    void swap(int[]ary, int i, int j)
    {
        int t = ary[i];
        ary[i] = ary[j];
        ary[j] = t;
    }

    void swap(char[]ary, int i, int j)
    {
        char t = ary[i];
        ary[i] = ary[j];
        ary[j] = t;
    }
    
    String[] split() throws Exception
    {
        return in.readLine().split(" ");
    }

    int readInt() throws Exception
    {
        return Integer.valueOf(in.readLine());
    }

    long readLong() throws Exception
    {
        return Long.valueOf(in.readLine());
    }

    long[] toLongArray() throws Exception
    {
        String[] sp = split();
        int n = sp.length;
        long[] ary = new long[n];
        for(int i = 0; i < n; i++) ary[i] = Long.valueOf(sp[i]);
        return ary;
    }

    int[] toIntArray() throws Exception
    {
        String[] sp = split();
        int n = sp.length;
        int[] ary = new int[n];
        for(int i = 0; i < n; i++) ary[i] = Integer.valueOf(sp[i]);
        return ary;
    }

    String reverse(String str)
    {
        return new StringBuilder(str).reverse().toString();
    }


    long pow(long a, int pow)
    {
        long res = 1;
        while(pow > 0)
        {
            if(pow % 2 != 0) {
                res *= a;
                res %= mod;
            }
            a = a * a;
            a %= mod;
            pow /= 2;
        }

        return res;
    }

    public static void main(String[] args) throws Exception
    {
        int _k = Integer.valueOf("1");
        if(test > 0) in = new BufferedReader(new InputStreamReader(System.in));
        else in = new BufferedReader(new FileReader(file));
        if(test < 0) {String[] str = in.readLine().split(" ");
        char[] gg = in.readLine().toCharArray();}
/***********************************************************************/
/***********************************************************************/
/***********************************************************************/
/***********************************************************************/
        // System.out.println((-100 + 0) / 2);

        // char[] c = new char[4];
        // c[1] = '.';
        // for(char i = '0'; i <= '9'; i++)
        // {
        //     for(char j = '0'; j <= '9'; j++)
        //     {
        //         for(char k = '0'; k <= '9'; k++)
        //         {
        //             c[0] = i;
        //             c[2] = j;
        //             c[3] = k;
        //             double d = Double.valueOf(String.valueOf(c));
        //             int v = (int)(d * 100);
        //             String s1 = String.valueOf("" + c[0] + c[2] + c[3]),
        //                 s2 = String.valueOf(v);
        //             System.out.printf("%s %s %b\n", s1, s2, s1.equals(s2));
        //         }
        //     }
        // }


        new Main().e();
        out.flush();
    }
    void f() throws Exception
    {
        int k = readInt();
        String s = in.readLine();
        int n = s.length();
        long prod = 1;
        int mod = 1_000_000_007;
        for(int i = 0; i < k; i++)
        {
            n++;
            prod = (prod * 26 * n) % mod;
        }
        System.out.println(prod);

    }

    void e() throws Exception
    {
        int[] ary = toIntArray();
        int n = ary[0], k = ary[1];
        ary = toIntArray();
        int lo = 1, hi = 1 << 30;
        while(lo < hi)
        {
            int m = (lo + hi) / 2;
            int cut = numCut(ary, m);
            // System.out.printf("%d %d\n", m, cut);
            if(cut > k) lo = m + 1;
            else hi = m;
        }
        out.println(lo);
    }

    int numCut(int[] ary, int thres)
    {
        int count = 0;
        for(int v : ary)
        {
            if(v > thres)
            count += v / thres;
            // count += v % thres > 0 ? 1 : 0;
        }
        return count;
    }

    void d() throws Exception
    {
        int n = readInt();
        char[] c = in.readLine().toCharArray();
        int i = 0, j = n - 1, re = 0;
        while(i < j)
        {
            while(i < j && c[i] == 'R') i++;
            while(i < j && c[j] == 'W') j--;
            if(i < j)
            {
                swap(c, i, j);
                i++;
                j--;
                re++;
            }
        }
        out.println(re);
    }



    void c() throws Exception
    {
        int k = readInt();
        int count = 1, val = 7;
        Set<Integer> set = new HashSet<>();
        val %= k;
        while(true)
        {
            if(val == 0) break;
            if(set.contains(val)) break;
            set.add(val);
            val = (val * 10 + 7) % k;
            count++;
        }
        out.println(val == 0 ? count : -1);
    }

    int gcd(int a, int b)
    {
        if(b == 0) return a;
         return gcd(b, a % b);
    }

    void b() throws Exception
    {
        int[] ary = toIntArray();
        int n = ary[0], d = ary[1];
        int re = 0;
        while(n-- > 0)
        {
            long[] vals = toLongArray();
            long x = vals[0], y = vals[1];
            double dis = Math.sqrt(x * x + y * y);
            // System.out.printf("%f %d %d %d\n", dis, x, y, d);
            if(dis <= d) re++;
        }
        out.println(re);
    }

    void a() throws Exception
    {
        int a = readInt();
        if(a >= 30) out.println("Yes");
        else out.println("No");
    }
}