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 JavaScript (Node.js 12.16.1) (judge verdict: Runtime Error)

//解説参照済み

function main(input = "") {
    const lines = input.split("\n");
    const K = 0 | lines[0].split(" ")[1];
    let arr = lines[1].split(" ").map((v) => 0 | v);

    let isOk = (t = 0, k = 0) => {
        arr.forEach((v) => {
            let d = 0 | v / t;
            if (v === d * t) { d--; }
            k -= d;
        })
        return k >= 0;
    }

    let l = 1;
    let r = Math.max(...arr);
    let mid = 0 | (r + l) * 0.5;
    let res = r;
    while (l <= r) {
        if (isOk(mid, K)) {
            res = mid;
            r = mid - 1;
        } else {
            l = mid + 1;
        }
        mid = 0 | (r + l) * 0.5;
    }
    return res;
}


//******************************
exports.main = main;

function Main(input) {
    console.log(main(input.trim()));
}

if (process.argv[2] !== "test") {
    Main(require("fs").readFileSync("/dev/stdin", "utf8"));
}