Problem: You are given a non-empty string s=s_1s_2... s_n, which consists only of lowercase Latin letters. Polycarp does not like a string if it contains at least one string "one" or at least one string "two" (or both at the same time) as a substring. In other words, Polycarp does not like the string s if there is an integer j (1 ≤ j ≤ n-2), that s_{j}s_{j+1}s_{j+2}="one" or s_{j}s_{j+1}s_{j+2}="two".

For example:

  * Polycarp does not like strings "oneee", "ontwow", "twone" and "oneonetwo" (they all have at least one substring "one" or "two"), 
  * Polycarp likes strings "oonnee", "twwwo" and "twnoe" (they have no substrings "one" and "two"). 



Polycarp wants to select a certain set of indices (positions) and remove all letters on these positions. All removals are made at the same time.

For example, if the string looks like s="onetwone", then if Polycarp selects two indices 3 and 6, then "onetwone" will be selected and the result is "ontwne".

What is the minimum number of indices (positions) that Polycarp needs to select to make the string liked? What should these positions be?

Input

The first line of the input contains an integer t (1 ≤ t ≤ 10^4) — the number of test cases in the input. Next, the test cases are given.

Each test case consists of one non-empty string s. Its length does not exceed 1.5⋅10^5. The string s consists only of lowercase Latin letters.

It is guaranteed that the sum of lengths of all lines for all input data in the test does not exceed 1.5⋅10^6.

Output

Print an answer for each test case in the input in order of their appearance.

The first line of each answer should contain r (0 ≤ r ≤ |s|) — the required minimum number of positions to be removed, where |s| is the length of the given line. The second line of each answer should contain r different integers — the indices themselves for removal in any order. Indices are numbered from left to right from 1 to the length of the string. If r=0, then the second line can be skipped (or you can print empty). If there are several answers, print any of them.

Examples

Input


4
onetwone
testme
oneoneone
twotwo


Output


2
6 3
0

3
4 1 7 
2
1 4


Input


10
onetwonetwooneooonetwooo
two
one
twooooo
ttttwo
ttwwoo
ooone
onnne
oneeeee
oneeeeeeetwooooo


Output


6
18 11 12 1 6 21 
1
1 
1
3 
1
2 
1
6 
0

1
4 
0

1
1 
2
1 11 

Note

In the first example, answers are:

  * "onetwone", 
  * "testme" — Polycarp likes it, there is nothing to remove, 
  * "oneoneone", 
  * "twotwo". 



In the second example, answers are: 

  * "onetwonetwooneooonetwooo", 
  * "two", 
  * "one", 
  * "twooooo", 
  * "ttttwo", 
  * "ttwwoo" — Polycarp likes it, there is nothing to remove, 
  * "ooone", 
  * "onnne" — Polycarp likes it, there is nothing to remove, 
  * "oneeeee", 
  * "oneeeeeeetwooooo". 

Solution (in JAVA):

Solution:
import java.io.*;
import java.util.*;

public class Stack3 {

    static class Reader {
        final private int BUFFER_SIZE = 1 << 16;
        private DataInputStream din;
        private byte[] buffer;
        private int bufferPointer, bytesRead;

        public Reader() {
            din = new DataInputStream(System.in);
            buffer = new byte[BUFFER_SIZE];
            bufferPointer = bytesRead = 0;
        }

        public Reader(String file_name) throws IOException {
            din = new DataInputStream(new FileInputStream(file_name));
            buffer = new byte[BUFFER_SIZE];
            bufferPointer = bytesRead = 0;
        }

        public String readLine() throws IOException {
            byte[] buf = new byte[64]; // line length
            int cnt = 0, c;
            while ((c = read()) != -1) {
                if (c == '\n')
                    break;
                buf[cnt++] = (byte) c;
            }
            return new String(buf, 0, cnt);
        }

        public int nextInt() throws IOException {
            int ret = 0;
            byte c = read();
            while (c <= ' ')
                c = read();
            boolean neg = (c == '-');
            if (neg)
                c = read();
            do {
                ret = ret * 10 + c - '0';
            } while ((c = read()) >= '0' && c <= '9');
            if (neg)
                return -ret;
            return ret;
        }

        public long nextLong() throws IOException {
            long ret = 0;
            byte c = read();
            while (c <= ' ')
                c = read();
            boolean neg = (c == '-');
            if (neg)
                c = read();
            do {
                ret = ret * 10 + c - '0';
            }
            while ((c = read()) >= '0' && c <= '9');
            if (neg)
                return -ret;
            return ret;
        }

        public double nextDouble() throws IOException {
            double ret = 0, div = 1;
            byte c = read();
            while (c <= ' ')
                c = read();
            boolean neg = (c == '-');
            if (neg)
                c = read();
            do {
                ret = ret * 10 + c - '0';
            }
            while ((c = read()) >= '0' && c <= '9');
            if (c == '.') {
                while ((c = read()) >= '0' && c <= '9') {
                    ret += (c - '0') / (div *= 10);
                }
            }
            if (neg)
                return -ret;
            return ret;
        }

        private void fillBuffer() throws IOException {
            bytesRead = din.read(buffer, bufferPointer = 0, BUFFER_SIZE);
            if (bytesRead == -1)
                buffer[0] = -1;
        }

        private byte read() throws IOException {
            if (bufferPointer == bytesRead)
                fillBuffer();
            return buffer[bufferPointer++];
        }

        public void close() throws IOException {
            if (din == null)
                return;
            din.close();
        }
    }

    static Reader sc = new Reader();
    static BufferedWriter bw = new BufferedWriter(new OutputStreamWriter(System.out));
    static long mod = (long) (1e9 + 7);

    public static void main(String[] args) throws IOException {
        /*
         * For integer input: int n=inputInt();
         * For long input: long n=inputLong();
         * For double input: double n=inputDouble();
         * For String input: String s=inputString();
         * Logic goes here
         * For printing without space: print(a+""); where a is a variable of any datatype
         * For printing with space: printSp(a+""); where a is a variable of any datatype
         * For printing with new line: println(a+""); where a is a variable of any datatype
         */
        Scanner sc = new Scanner(System.in);
        int t = sc.nextInt();
        for (int i = 0; i < t; i++) {
            String s = sc.next();
            char[] ch = s.toCharArray();
            List<Integer> list = new ArrayList<>();
            Stack<Character> stack = new Stack<>();
            stack.push(ch[0]);
            for (int j = 1; j < s.length(); j++) {
                char ch1 = s.charAt(j);
                if (ch1 != 'o' && ch1 != 'e') {
                    stack.push(ch1);
                } else {
                    if (stack.size() >= 2) {
                        if (ch1 == 'e') {
                            char chb = stack.pop();
                            char chb1 = stack.pop();
                            if (chb == 'n' && chb1 == 'o') {
                                list.add((j + 1));
                                stack.push(chb1);
                                stack.push(chb);
                            } else {
                                stack.push(ch1);
                            }
                        } else {
                            char chb = stack.pop();
                            char chb1 = stack.pop();
                            if (chb == 'w' && chb1 == 't') {
                                list.add((j + 1));
                                stack.push(chb1);
                                stack.push(chb);
                            } else {
                                stack.push(ch1);
                            }
                        }
                    } else {
                        stack.push(ch1);
                    }
                }
            }
            List<Integer> list1 = new ArrayList<>();
            Stack<Character> stack1 = new Stack<>();
            stack1.push(ch[0]);
            for (int j = 1; j < s.length(); j++) {
                char ch1 = s.charAt(j);
                if (ch1 != 'o' && ch1 != 'e') {
                    stack1.push(ch1);
                } else {
                    if (stack1.size() >= 2) {
                        if (ch1 == 'e') {
                            char chb = stack1.pop();
                            char chb1 = stack1.pop();
                            if (chb == 'n' && chb1 == 'o') {
                                list1.add((j));
                                stack1.push(chb1);
                                stack1.push('e');
                            } else {
                                stack1.push(ch1);
                            }
                        } else {
                            char chb = stack1.pop();
                            char chb1 = stack1.pop();
                            if (chb == 'w' && chb1 == 't') {
                                if(j+1<s.length() && s.charAt(j+1)=='n'){
                                    list1.add((j+1));
                                    stack1.push(chb1);
                                    stack1.push(chb);
                                }else {
                                    list1.add((j));
                                    stack1.push(chb1);
                                    stack1.push('o');
                                }

                            } else {
                                stack1.push(ch1);
                            }
                        }
                    } else {
                        stack1.push(ch1);
                    }
                }
            }
            list = list.size() >= list1.size() ? list1 : list;
            System.out.println(list.size());
            for (Integer integer : list) {
                System.out.print(integer + " ");
            }
            System.out.println();
        }


        bw.flush();
        bw.close();


    }


    public static void dfs1(List<List<Integer>> g, boolean[] visited, Stack<Integer> stack, int num) {
        visited[num] = true;
        for (Integer integer : g.get(num)) {
            if (!visited[integer]) {
                dfs1(g, visited, stack, integer);
            }
        }
        stack.push(num);
    }

    public static void dfs2(List<List<Integer>> g, boolean[] visited, List<Integer> list, int num, int c, int[] raj) {
        visited[num] = true;

        for (Integer integer : g.get(num)) {
            if (!visited[integer]) {
                dfs2(g, visited, list, integer, c, raj);
            }
        }
        raj[num] = c;
        list.add(num);

    }

    public static int inputInt() throws IOException {
        return sc.nextInt();
    }

    public static long inputLong() throws IOException {
        return sc.nextLong();
    }

    public static double inputDouble() throws IOException {
        return sc.nextDouble();
    }

    public static String inputString() throws IOException {
        return sc.readLine();
    }

    public static void print(String a) throws IOException {
        bw.write(a);
    }

    public static void printSp(String a) throws IOException {
        bw.write(a + " ");
    }

    public static void println(String a) throws IOException {
        bw.write(a + "\n");
    }


    public static long getAns(int[] ar, int c, long[][] dp, int i, int sign) {
        if (i < 0) {
            return 1;
        }

        if (c <= 0) {
            return 1;
        }

        dp[i][c] = Math.max(dp[i][c], Math.max(ar[i] * getAns(ar, c - 1, dp, i - 1, sign), getAns(ar, c, dp, i - 1, 1)));
        return dp[i][c];
    }


    public static long power(long a, long b, long c) {
        long ans = 1;
        while (b != 0) {
            if (b % 2 == 1) {
                ans = ans * a;
                ans %= c;
            }
            a = a * a;
            a %= c;
            b /= 2;
        }
        return ans;
    }

    public static long power1(long a, long b, long c) {
        long ans = 1;
        while (b != 0) {
            if (b % 2 == 1) {
                ans = multiply(ans, a, c);
            }
            a = multiply(a, a, c);
            b /= 2;

        }
        return ans;

    }

    public static long multiply(long a, long b, long c) {
        long res = 0;
        a %= c;
        while (b > 0) {
            if (b % 2 == 1) {
                res = (res + a) % c;
            }
            a = (a + a) % c;
            b /= 2;
        }

        return res % c;

    }

    public static long totient(long n) {
        long result = n;
        for (long i = 2; i * i <= n; i++) {
            if (n % i == 0) {
                //sum=sum+2*i;
                while (n % i == 0) {
                    n /= i;
                    // sum=sum+n;
                }
                result -= result / i;

            }
        }
        if (n > 1) {
            result -= result / n;

        }
        return result;
    }


    public static long gcd(long a, long b) {
        if (b == 0) {
            return a;
        } else {
            return gcd(b, a % b);
        }
    }

    public int sumOfFlooredPairs(int[] nums) {
        // long sum=0;
        long mod = (long) (1e9 + 7);
        Arrays.sort(nums);
        long[] numerator = new long[nums.length];
        long[] denominator = new long[nums.length];

        long[] numerator1 = new long[nums.length];
        long[] denominator1 = new long[nums.length];

        long num = 1;
        long den = nums[0];
        numerator[0] = 1;
        denominator[0] = den;
        long num1 = 1;
        long den1 = nums[nums.length - 1];
        numerator1[nums.length - 1] = 1;
        denominator1[nums.length - 1] = den1;


        for (int i = 1; i < nums.length; i++) {

            long gcd1 = gcd(denominator[i - 1], nums[i]);
            long lcm = (denominator[i - 1] * nums[i]) / gcd1;
            long n1 = lcm / denominator[i - 1] * numerator[i - 1] + lcm / nums[i];
            numerator[i] = n1;
            denominator[i] = lcm;

            long gcd2 = gcd(denominator1[nums.length - i], nums[nums.length - 1 - i]);
            long lcm1 = (denominator1[nums.length - i] * nums[nums.length - 1 - i]) / gcd2;
            long n2 = lcm1 / denominator1[nums.length - i] * numerator1[nums.length - i] + lcm1 / nums[nums.length - 1 - i];
            numerator1[nums.length - 1 - i] = n2;
            denominator1[nums.length - 1 - i] = lcm1;




           /* prefix[i]=sum;
            sum12+=1d/nums[nums.length-1-i];
            prefix2[nums.length-1-i]=sum12;*/

        }
        /*System.out.println(Arrays.toString(numerator));
         System.out.println(Arrays.toString(denominator));*/
        int sum2 = 0;
        for (int i = 0; i < nums.length; i++) {
            //float d1=(float)(numerator[i]/(double)denominator[i]);
            sum2 += (int) (Math.floor((numerator[i] * nums[i]) / (double) denominator[i]));
            sum2 %= mod;
            if (i + 1 < nums.length) {
                // float d2=(float)(numerator1[i+1]/(double)denominator1[i+1]);
                sum2 += (int) (Math.floor((numerator1[i + 1] * nums[i]) / (double) denominator1[i + 1]));
                sum2 %= mod;
            }
        }
        return sum2;


    }

    public static boolean[] primes(int n) {
        boolean[] p = new boolean[n + 1];
        p[0] = false;
        p[1] = false;
        for (int i = 2; i <= n; i++) {
            p[i] = true;
        }

        for (int i = 2; i * i <= n; i++) {
            if (p[i]) {
                for (int j = i * i; j <= n; j += i) {
                    p[j] = false;
                }
            }

        }
        return p;
    }

}