Problem: Ehab loves number theory, but for some reason he hates the number x. Given an array a, find the length of its longest subarray such that the sum of its elements isn't divisible by x, or determine that such subarray doesn't exist.

An array a is a subarray of an array b if a can be obtained from b by deletion of several (possibly, zero or all) elements from the beginning and several (possibly, zero or all) elements from the end.

Input

The first line contains an integer t (1 ≤ t ≤ 5) — the number of test cases you need to solve. The description of the test cases follows.

The first line of each test case contains 2 integers n and x (1 ≤ n ≤ 10^5, 1 ≤ x ≤ 10^4) — the number of elements in the array a and the number that Ehab hates.

The second line contains n space-separated integers a_1, a_2, …, a_{n} (0 ≤ a_i ≤ 10^4) — the elements of the array a.

Output

For each testcase, print the length of the longest subarray whose sum isn't divisible by x. If there's no such subarray, print -1.

Example

Input


3
3 3
1 2 3
3 4
1 2 3
2 2
0 6


Output


2
3
-1

Note

In the first test case, the subarray [2,3] has sum of elements 5, which isn't divisible by 3.

In the second test case, the sum of elements of the whole array is 6, which isn't divisible by 4.

In the third test case, all subarrays have an even sum, so the answer is -1.

Solution (in JAVA):

Solution:
/*****Author: Satyajeet Singh, Delhi Technological University************************************/
    import java.io.*;
    import java.util.*;
    import java.text.*; 
    import java.lang.*;
    import java.math.*;
public class Main{
/*********************************************Constants******************************************/
    static PrintWriter out=new PrintWriter(new OutputStreamWriter(System.out));        
    static BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    static long mod=(long)1e9+7;
    static long mod1=998244353;
    static ArrayList<Integer> graph[];
    static int pptr=0,pptrmax=0;
    static String st[];
/*****************************************Solution Begins***************************************/
    static class segmentTree{
        int n=0;
        int[] lo,hi;
        long[] value;
        segmentTree(int n){
            this.n=n;
            lo=new int[4*n+1];
            hi=new int[4*n+1];
            value=new long[4*n+1];
            Arrays.fill(value,Integer.MAX_VALUE);
            init(1,1,n);
        } 
        void init(int i,int left,int right){
            lo[i]=left;
            hi[i]=right;
            if(left==right){
                return;
            }
            int mid=(left+right)/2;
            init(2*i,left,mid);
            init(2*i+1,mid+1,right);
        }
        void update(int left,int right,long val){
            update(1,left,right,val);
        }
        long updateFunction(long a,long b){
            long c=a+b;
            return c;
        }
        long queryFunction(long a,long b){
            long c=Math.min(a,b);
            return c;
        }
        long query(int left,int right){
            return query(1,left,right);
        }
        void update(int i){
            value[i]=queryFunction(value[2*i],value[2*i+1]);
        }
        void update(int i,int left,int right,long val){
            if(left>hi[i]||right<lo[i]){
                return;
            }
            if(lo[i]==hi[i]){
                value[i]=val;
                return ;
            }
            update(2*i,left,right,val);
            update(2*i+1,left,right,val);
            update(i);
        }
        long query(int i,int left,int right){
            if(left>hi[i]||right<lo[i]){
                return Integer.MAX_VALUE;
            }
            if(lo[i]>=left&&hi[i]<=right){
                return value[i];
            }
            long l=query(2*i,left,right);
            long r=query(2*i+1,left,right);
            return queryFunction(l,r);
        }
    }
    public static void main(String args[]) throws Exception{
        int tt=pi();
        while(tt-->0){
            int n=pi();
            int x=pi();
            segmentTree seg=new segmentTree(x);
            int dp[]=new int[x];
            Arrays.fill(dp,-2);
            long ans=-1;
            int s=0;
            dp[0]=-1;
            seg.update(1,1,-1);

            for(int i=0;i<n;i++){
                int a=pi();
                s=(s+a)%x;
                if(dp[s]==-2){
                    dp[s]=i;
                    seg.update(s+1,s+1,i);
                }
                //for(int i1=1;i1<=x;i1++)debug(seg.query(i1,i1));
                long min=Math.min(seg.query(1,s),seg.query(s+2,x));
                //debug(i,s,min,dp[s]);

                ans=Math.max(ans,i-min);
            }
            out.println(ans);
        }
/****************************************Solution Ends**************************************************/
        out.flush();
        out.close();
    }
/****************************************Template Begins************************************************/
    static void nl() throws Exception{
        pptr=0;
        st=br.readLine().split(" ");
        pptrmax=st.length;
    }
    static void nls() throws Exception{
        pptr=0;
        st=br.readLine().split("");
        pptrmax=st.length;
    }
    static int pi() throws Exception{
        if(pptr==pptrmax)
            nl();
        return Integer.parseInt(st[pptr++]);
    }
    static long pl() throws Exception{
        if(pptr==pptrmax)
            nl();
        return Long.parseLong(st[pptr++]);
    }
    static double pd() throws Exception{
        if(pptr==pptrmax)
            nl();
        return Double.parseDouble(st[pptr++]);
    }
    static String ps() throws Exception{
        if(pptr==pptrmax)
            nl();
        return st[pptr++];
    }
/***************************************Precision Printing**********************************************/
    static void printPrecision(double d){
        DecimalFormat ft = new DecimalFormat("0.0000000000"); 
        out.println(ft.format(d));
    }
/**************************************Bit Manipulation**************************************************/
    static int countBit(long mask){
        int ans=0;
        while(mask!=0){
            mask&=(mask-1);
            ans++;
        }
        return ans;
    }
/******************************************Graph*********************************************************/
    static void Makegraph(int n){
        graph=new ArrayList[n];
        for(int i=0;i<n;i++)
            graph[i]=new ArrayList<>();
    }
    static void addEdge(int a,int b){
        graph[a].add(b);
    }
    // static void addEdge(int a,int b,int c){
    //     graph[a].add(new Pair(b,c));
    // }    
/*********************************************PAIR********************************************************/
    static class Pair{
        int u;
        int v;
        public Pair(int u, int v) {
            this.u = u;
            this.v = v;
        }
        public int hashCode() {
            int hu = (int) (u ^ (u >>> 32));
            int hv = (int) (v ^ (v >>> 32));
            return 31 * hu + hv;
        }
        public boolean equals(Object o) {
            Pair other = (Pair) o;
            return u == other.u && v == other.v;
        }
        public String toString() {
            return "[u=" + u + ", v=" + v + "]";
        }
    }
/******************************************Long Pair*******************************************************/
    static class Pairl{
        long u;
        long v;
        public Pairl(long u, long v) {
            this.u = u;
            this.v = v;
        }
        public int hashCode() {
            int hu = (int) (u ^ (u >>> 32));
            int hv = (int) (v ^ (v >>> 32));
            return 31 * hu + hv;
        }
        public boolean equals(Object o) {
            Pairl other = (Pairl) o;
            return u == other.u && v == other.v;
        }
        public String toString() {
            return "[u=" + u + ", v=" + v + "]";
        }
    }
/*****************************************DEBUG***********************************************************/
    public static void debug(Object... o){
        System.out.println(Arrays.deepToString(o));
    }
/************************************MODULAR EXPONENTIATION***********************************************/
    static long modulo(long a,long b,long c){
        long x=1,y=a%c;
        while(b > 0){
            if(b%2 == 1)
                x=(x*y)%c;
            y = (y*y)%c;
            b = b>>1;
        }
        return  x%c;
    }
/********************************************GCD**********************************************************/
    static long gcd(long x, long y){
        if(x==0)
            return y;
        if(y==0)
            return x;
        long r=0, a, b;
        a = (x > y) ? x : y; 
        b = (x < y) ? x : y;
        r = b;
        while(a % b != 0){
            r = a % b;
            a = b;
            b = r;
        }
        return r;
    }
}