Problem:
Score: 400 points

Problem Statement

The Kingdom of Takahashi has N towns, numbered 1 through N.

There is one teleporter in each town. The teleporter in Town i (1 \leq i \leq N) sends you to Town A_i.

Takahashi, the king, loves the positive integer K. The selfish king wonders what town he will be in if he starts at Town 1 and uses a teleporter exactly K times from there.

Help the king by writing a program that answers this question.

Constraints

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

1 \leq A_i \leq N

1 \leq K \leq 10^{18}

Input

Input is given from Standard Input in the following format:

N K
A_1 A_2 \dots A_N

Output

Print the integer representing the town the king will be in if he starts at Town 1 and uses a teleporter exactly K times from there.

Sample Input 1

4 5
3 2 4 1

Sample Output 1

4

If we start at Town 1 and use the teleporter 5 times, our travel will be as follows: 1 \to 3 \to 4 \to 1 \to 3 \to 4.

Sample Input 2

6 727202214173249351
6 5 2 5 3 2

Sample Output 2

2

Solution in Kotlin (1.3.71) (judge verdict: Wrong Answer)

fun main() {
    val inp = readLine()!!.split(" ")
    val N = inp[0].toInt()
    val K = inp[1].toLong()
    val A = readLine()!!.split(" ").map { it.toInt() - 1 }
    val visitedA = IntArray(N)

    var current = 0
    var shuuki = 0
    var currentTime = 0
    for (i in 1..N) {
        current = A[current]
        if (visitedA[current] != 0) {
            shuuki = i - visitedA[current]
            currentTime = i
            break
        }
        visitedA[current] = i
    }

    val amari = (K - currentTime) % shuuki
    for (i in 0 until amari) {
        current = A[current]
    }
    println(current + 1)
}