Amr is a young coder who likes music a lot. He always wanted to learn how to play music but he was busy coding so he got an idea.

Amr has n instruments, it takes ai days to learn i-th instrument. Being busy, Amr dedicated k days to learn how to play the maximum possible number of instruments.

Amr asked for your help to distribute his free days between instruments so that he can achieve his goal.

Input

The first line contains two numbers n, k (1 ≤ n ≤ 100, 0 ≤ k ≤ 10 000), the number of instruments and number of days respectively.

The second line contains n integers ai (1 ≤ ai ≤ 100), representing number of days required to learn the i-th instrument.

Output

In the first line output one integer m representing the maximum number of instruments Amr can learn.

In the second line output m space-separated integers: the indices of instruments to be learnt. You may output indices in any order.

if there are multiple optimal solutions output any. It is not necessary to use all days for studying.

Examples

Input

4 10
4 3 1 2


Output

4
1 2 3 4

Input

5 6
4 3 1 1 2


Output

3
1 3 4

Input

1 3
4


Output

0

Note

In the first test Amr can learn all 4 instruments.

In the second test other possible solutions are: {2, 3, 5} or {3, 4, 5}.

In the third test Amr doesn't have enough time to learn the only presented instrument.
import java.util.Arrays;

import java.util.Scanner;
import java.util.TreeMap;
import java.util.TreeSet;
import java.io.IOException;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collections;
import java.util.Comparator;
import java.util.HashMap;
import java.util.HashSet;
import java.util.Hashtable;
import java.util.InputMismatchException;
import java.util.LinkedList;
import java.util.Map;
import java.util.PriorityQueue;
public class R287_1 {
    public static void main(String args[]){
        FasterScanner s=new FasterScanner();
        PrintWriter out=new PrintWriter(System.out);
        int n=s.nextInt();
        int k=s.nextInt();
        n nd[]=new n[n];
        for(int i=0;i<n;i++){
            nd[i]=new n();
            nd[i].id=i+1;
            nd[i].val=s.nextInt();
        }
        Arrays.sort(nd);
        int a[]=new int[n];
        Arrays.fill(a, -1);
        int i=0,cnt=0;
        while(i<n&&k>=nd[i].val){
            k-=nd[i].val;
            cnt++;
            a[i]=nd[i].id;
            i++;
        }
        out.println(cnt);
        i=0;
        while(i<n&&a[i]!=-1){
            out.print(a[i]+" ");
            i++;
        }
        out.close();
    }

   static class n implements Comparable<n>{
       int id;
       int val;
    @Override
    public int compareTo(n o) {
        return Integer.compare(this.val,o.val);
    }
   }







    public static class FasterScanner {
        private byte[] buf = new byte[1024];
        private int curChar;
        private int numChars;

        public int read() {
            if (numChars == -1)
                throw new InputMismatchException();
            if (curChar >= numChars) {
                curChar = 0;
                try {
                    numChars = System.in.read(buf);
                } catch (IOException e) {
                    throw new InputMismatchException();
                }
                if (numChars <= 0)
                    return -1;
            }
            return buf[curChar++];
        }

        public String nextLine() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            StringBuilder res = new StringBuilder();
            do {
                res.appendCodePoint(c);
                c = read();
            } while (!isEndOfLine(c));
            return res.toString();
        }

        public String nextString() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            StringBuilder res = new StringBuilder();
            do {
                res.appendCodePoint(c);
                c = read();
            } while (!isSpaceChar(c));
            return res.toString();
        }

        public long nextLong() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            long res = 0;
            do {
                if (c < '0' || c > '9')
                    throw new InputMismatchException();
                res *= 10;
                res += c - '0';
                c = read();
            } while (!isSpaceChar(c));
            return res * sgn;
        }

        public int nextInt() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            int res = 0;
            do {
                if (c < '0' || c > '9')
                    throw new InputMismatchException();
                res *= 10;
                res += c - '0';
                c = read();
            } while (!isSpaceChar(c));
            return res * sgn;
        }

        public int[] nextIntArray(int n) {
            int[] arr = new int[n];
            for (int i = 0; i < n; i++) {
                arr[i] = nextInt();
            }
            return arr;
        }

        public long[] nextLongArray(int n) {
            long[] arr = new long[n];
            for (int i = 0; i < n; i++) {
                arr[i] = nextLong();
            }
            return arr;
        }

        private boolean isSpaceChar(int c) {
            return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
        }

        private boolean isEndOfLine(int c) {
            return c == '\n' || c == '\r' || c == -1;
        }
    }

    public static class disjointSet {

        private int[] parent;  // parent[i] = parent of i
        private byte[] rank;   // rank[i] = rank of subtree rooted at i (never more than 31)
        private int count;     // number of components
        public disjointSet(int N) {
            if (N < 0) throw new IllegalArgumentException();
            count = N;
            parent = new int[N];
            rank = new byte[N];
            for (int i = 0; i < N; i++) {
                parent[i] = i;
                rank[i] = 0;
            }
        }

        public int find(int p) {
            if (p < 0 || p >= parent.length) throw new IndexOutOfBoundsException();
            while (p != parent[p]) {
                parent[p] = parent[parent[p]];    // path compression by halving
                p = parent[p];
            }
            return p;
        }
        public int count() {
            return count;
        }

        public boolean connected(int p, int q) {
            return find(p) == find(q);
        }

        public boolean union(int p, int q) {
            int rootP = find(p);
            int rootQ = find(q);
            if (rootP == rootQ) return false;

            // make root of smaller rank point to root of larger rank
            if      (rank[rootP] < rank[rootQ]) parent[rootP] = rootQ;
            else if (rank[rootP] > rank[rootQ]) parent[rootQ] = rootP;
            else {
                parent[rootQ] = rootP;
                rank[rootP]++;
            }
            count--;
            return true;
        }

    }
}