Problem: Nastya just made a huge mistake and dropped a whole package of rice on the floor. Mom will come soon. If she sees this, then Nastya will be punished.

In total, Nastya dropped n grains. Nastya read that each grain weighs some integer number of grams from a - b to a + b, inclusive (numbers a and b are known), and the whole package of n grains weighs from c - d to c + d grams, inclusive (numbers c and d are known). The weight of the package is the sum of the weights of all n grains in it.

Help Nastya understand if this information can be correct. In other words, check whether each grain can have such a mass that the i-th grain weighs some integer number x_i (a - b ≤ x_i ≤ a + b), and in total they weigh from c - d to c + d, inclusive (c - d ≤ ∑_{i=1}^{n}{x_i} ≤ c + d).

Input

The input consists of multiple test cases. The first line contains a single integer t (1 ≤ t ≤ 1000) — the number of test cases. 

The next t lines contain descriptions of the test cases, each line contains 5 integers: n (1 ≤ n ≤ 1000) — the number of grains that Nastya counted and a, b, c, d (0 ≤ b < a ≤ 1000, 0 ≤ d < c ≤ 1000) — numbers that determine the possible weight of one grain of rice (from a - b to a + b) and the possible total weight of the package (from c - d to c + d).

Output

For each test case given in the input print "Yes", if the information about the weights is not inconsistent, and print "No" if n grains with masses from a - b to a + b cannot make a package with a total mass from c - d to c + d.

Example

Input


5
7 20 3 101 18
11 11 10 234 2
8 9 7 250 122
19 41 21 321 10
3 10 8 6 1


Output


Yes
No
Yes
No
Yes

Note

In the first test case of the example, we can assume that each grain weighs 17 grams, and a pack 119 grams, then really Nastya could collect the whole pack.

In the third test case of the example, we can assume that each grain weighs 16 grams, and a pack 128 grams, then really Nastya could collect the whole pack.

In the fifth test case of the example, we can be assumed that 3 grains of rice weigh 2, 2, and 3 grams, and a pack is 7 grams, then really Nastya could collect the whole pack.

In the second and fourth test cases of the example, we can prove that it is impossible to determine the correct weight of all grains of rice and the weight of the pack so that the weight of the pack is equal to the total weight of all collected grains.

Solution (in JAVA):

Solution:
//package learning;
import java.util.*;
import java.io.*;
import java.lang.*;
import java.text.*;
import java.math.*;
import java.util.regex.*;
public class NitsLocal {
    static ArrayList<String> s1;
    static boolean[] prime;
    static int n = (int)1e7;
    
     static void sieve() {
Arrays.fill(prime	, true);
prime[0] = prime[1] = false;
for(int i = 2 ; i * i <= n ; ++i) {
if(prime[i]) {
for(int k = i * i; k<= n ; k+=i) {
prime[k] = false;
}
}
}
 
}
    public static void main(String[] args) {
        InputReader sc = new InputReader(System.in);
        n *= 2;
           prime  = new boolean[n + 1];
           //sieve();
                prime[1] = false;
              
                  
             /*    
        int n = sc.ni();
        int k = sc.ni();
        int []vis = new int[n+1];
        int []a = new int[k];
        for(int i=0;i<k;i++)
        {
            a[i] = i+1;
        }
        int j = k+1;
        int []b = new int[n+1];
        for(int i=1;i<=n;i++)
        {
            b[i] = -1;
        }
        int y = n - k +1;
        int tr = 0;
        int y1 = k+1;
        while(y-- > 0)
        {
        System.out.print("? ");
        for(int i=0;i<k;i++)
        {
            System.out.print(a[i] + " ");
        }
        
        System.out.flush();
        int pos = sc.ni();
        int a1 = sc.ni();
        b[pos] = a1;
        
        
        for(int i=0;i<k;i++)
        {
            if(a[i] == pos)
            {
                a[i] = y1;
                y1++;
            }
        }
        }
        ArrayList<Integer> a2 = new ArrayList<>();
        if(y >= k)
        {
            
        int c = 0;
        int k1 = 0;
            for(int i=1;i<=n;i++)
            {
                if(b[i] != -1)
                {
                    c++;
                    a[k1] = i;
                    a2.add(b[i]);
                    k1++;
                }
                if(c==k)
                    break;
            }
            
            Collections.sort(a2);
            System.out.print("? ");
        for(int i=0;i<k;i++)
        {
            System.out.print(a[i] + " ");
        }
        System.out.println();
        System.out.flush();
        int pos = sc.ni();
        int a1 = sc.ni();
        int ans = -1;
        for(int i=0;i<a2.size();i++)
        {
            if(a2.get(i) == a1)
            {
                ans = i+1;
                break;
            }
        }
        System.out.println("!" + " " + ans);
           System.out.flush();  
        }
        else
        {
            int k1 = 0;
            a = new int[k];
             for(int i=1;i<=n;i++)
            {
                if(b[i] != -1)
                {
                    
                    a[k1] = i;
                    a2.add(b[i]);
                    k1++;
                }
             
            }
              for(int i=1;i<=n;i++)
            {
                if(b[i] == -1)
                {
                    
                    a[k1] = i;
                    
                    k1++;
                    if(k1==k)
                        break;
                }
             
            }
              int ans = -1;
              while(true)
              {
                   System.out.print("? ");
                     for(int i=0;i<k;i++)
                   {
                         System.out.print(a[i] + " ");
                  }
                   System.out.println();
                   System.out.flush();
                   int pos = sc.ni();
                   int a1 = sc.ni();
                   int f = 0;
                   
                   if(b[pos] != -1)
                   {
                       Collections.sort(a2);
                       for(int i=0;i<a2.size();i++)
                       {
                           if(a2.get(i) == a1)
                           {
                               ans = i+1;
                               f = 1;
                               System.out.println("!" + " " + ans);
                               System.out.flush();
                               break;
                           }
                       }
                       if(f==1)
                           break;
                   }
                   else
                   {
                       b[pos] = a1;
                        a = new int[k];
                        a2.add(a1);
             for(int i=1;i<=n;i++)
            {
                if(b[i] != -1)
                {
                    
                    a[k1] = i;
                    a2.add(b[i]);
                    k1++;
                }
             
            }
              for(int i=1;i<=n;i++)
            {
                if(b[i] == -1)
                {
                    
                    a[k1] = i;
                    
                    k1++;
                    if(k1==k)
                        break;
                }
             
                       
                   }
              }
        }  
          */
             
 
    /*
          int n = sc.ni();
          int []a = sc.nia(n);
          int []b = sc.nia(n);
          Integer []d = new Integer[n];
          int []d1 = new int[n];
          for(int i=0;i<n;i++)
          {
              d[i] = (a[i] - b[i]);
             
          }
          int l = 0;
          int r = n-1;
          Arrays.sort(d);
          long res = 0;
          while(l < r)
          {
              if(d[l] + d[r] > 0)
              {
                  res += (long) (r-l);
                  r--;
              }
              else 
                  l++;
          }
          
          w.println(res);
*/
      /*
      int n = sc.ni();
     
      ArrayList<Integer> t1 = new ArrayList<>();
      int []p1 = new int[n+1];
      int []q1 = new int[n-1];
      int []q2 = new int[n-1];
      for(int i=0;i<n-1;i++)
      {
          int p = sc.ni();
          int q = sc.ni();
          t1.add(q);
          p1[p]++;
          q1[i] = p;
          q2[i] = q;
          
      }
      int res = 0;
      for(int i=0;i<t1.size();i++)
      {
          if(p1[t1.get(i)] == 0)
          {
              res = t1.get(i);
              //break;
          }
      }
      
    int y = 1;
    for(int i=0;i<n-1;i++)
    {
        if(q2[i] == res)
        {
            w.println("0");
        }
        else
        {
            w.println(y + " ");
            y++;
        }
    }
      */
 /*
   int n = sc.ni();
   int k = sc.ni();
   Integer []a = new Integer[n];
   for(int i=0;i<n;i++)
   {
       a[i] = sc.ni();
       a[i] = a[i]%k;
   }
   HashMap<Integer,Integer> hm = new HashMap<>();
   for(int i=0;i<n;i++)
   {
       if(!hm.containsKey(a[i]))
           hm.put(a[i], 1);
       else
           hm.put(a[i], hm.get(a[i]) + 1);
   }
  Arrays.sort(a);
  int z = 0;
  long res = 0;
  HashMap<Integer,Integer> v = new HashMap<>();
  for(int i=0;i<n;i++)
  {
      if(a[i] == 0)
          res++;
      else
      {
          if(a[i] == k-a[i] && !v.containsKey(a[i]))
          {
              res += (long) hm.get(a[i]) / 2;
              v.put(a[i],1);
          }
          else
          {
          if(hm.containsKey(a[i]) && hm.containsKey(k-a[i]))
          {
          int temp = a[i];
          
          if(!v.containsKey(a[i]) && !v.containsKey(k-a[i]))
          {
             res += (long) Math.min(hm.get(temp), hm.get(k-temp));
             v.put(temp,1);
             v.put(k-temp,1);
          }
          }
          }
      }
  }
  w.println(res);
*/
 /*
int []a = new int[4];
//G0
a[0] = 0;
a[1] = 1;
a[2] = 0;
a[3] = 1;
int []b = new int[4];
//g1
b[0] = 0;
b[1] = 1;
b[2] = 1;
b[3] = 0;
int [][]dp1 = new int[4][4];
int [][]dp2 = new int[4][4];
for(int i=0;i<4;i++)
{
    for(int j=0;j<4;j++)
    {
        dp1[i][j] = (a[i] | a[j]);
    }
   // w.println();
}
w.println();
for(int i=0;i<4;i++)
{
    for(int j=0;j<4;j++)
    {
        dp2[i][j] = (b[i] | b[j]);
    }
    //w.println();
}
int a1 = 0;
int b1 = 0;
int c1 = 0;
int d1 = 0;
for(int i=0;i<4;i++)
{
    for(int j=0;j<4;j++)
    {
        if(dp1[i][j] == 0 && dp2[i][j] == 0)
            a1++;
        else  if(dp1[i][j] == 1 && dp2[i][j] == 1)
            b1++;
        else  if(dp1[i][j] == 0 && dp2[i][j] == 1)
            c1++;
        else
            d1++;
       
    }
}
w.println(a1+ " " + b1 + " " + c1 +" "+ d1);

Scanner sc = new Scanner(System.in);
    int q = sc.nextInt();
    while(q-- > 0)
    {
        long x = sc.nextLong();
        long y = sc.nextLong();
        long a = (x - y)/2;  
        long a1 = 0, b1 = 0; 
        
        
        int lim     = 8; 
  
   
    int f = 0;
    
    for (int i=0; i<8*lim; i++)  
    {  
        long pi = (y & (1 << i));  
        long qi = (a & (1 << i));  
        if (pi == 0 && qi == 0)  
        {  
             
        }  
        else if (pi == 0 && qi > 0)  
        {  
            a1 = ((1 << i) | a1);  
            b1 = ((1 << i) | b1);  
        }  
        else if (pi > 0 && qi == 0)  
        {  
            a1 = ((1 << i) | a1);  
  
           
        }  
        else
        {  
            f = 1;  
            
        }  
    }  
    if(a1+b1 != x)
        f  =1;
  if(f==1)
            System.out.println("-1");
  else
  {
       if(a1 > b1)
       {
           long temp = a1;
           a1 = b1;
           b1 = temp;
       }
    System.out.println(a1 + " " + b1);
   
  }
  
  
    }
     
     */
 int t = sc.ni();
 while(t-- > 0)
 {
         
     long n = sc.nl();
     long a = sc.nl();
     long b = sc.nl();
     long c = sc.nl();
     long d = sc.nl();
     long minsum = c-d;
     long maxsum = c+d;
     long min = a-b;
     long max = a+b;
     long r1 = min*n;
     long r2 = max*n;
     if(r2 < minsum || r1 > maxsum)
         w.println("No");
     else
         w.println("Yes");
 }

 
 
 
       w.close();
       
        
    
    
} 
   
    public static long calc(int x,int y,int z)
    {
        long res = ((long) (x-y) * (long) (x-y)) + ((long) (z-y) * (long) (z-y)) + ((long) (x-z) * (long) (x-z));
        return res;
    }
    
    public static int upperBound(ArrayList<Integer>arr, int length, int value) {
        int low = 0;
        int high = length;
        while (low < high) {
            final int mid = (low + high) / 2;
            if (value >= arr.get(mid)) {
                low = mid + 1;
            } else {
                high = mid;
            }
        }
        return low;
    }
    
     public static int lowerBound(ArrayList<Integer> arr, int length, int value) {
        int low = 0;
        int high = length;
        while (low < high) {
            final int mid = (low + high) / 2;
            //checks if the value is less than middle element of the array
            if (value <= arr.get(mid)) {
                high = mid;
            } else {
                low = mid + 1;
            }
        }
        return low;
    }
    static HashMap<Long,Integer> map;
  
          
    static class Coin{
        long a;
        long b;
        
        Coin(long a, long b)
        {
            this.a = a;
            this.b = b;
           
        }
    }
    static ArrayList<Long> fac;
    static HashSet<Long> hs;
    public static void primeFactors(long n) 
    { 
        // Print the number of 2s that divide n 
        while (n % 2 == 0) { 
            fac.add(2l);
            hs.add(2l);
            n /= 2; 
        } 
  
        // n must be odd at this point.  So we can 
        // skip one element (Note i = i +2) 
        for (long i = 3; i*i <= n; i += 2) { 
            // While i divides n, print i and divide n 
            while (n % i == 0) { 
                fac.add(i);
                hs.add(i);
                n /= i; 
            } 
        } 
  
        // This condition is to handle the case whien 
        // n is a prime number greater than 2 
        if (n > 2) 
            fac.add(n);
    } 
   static int smallestDivisor(int n)  
{  
    // if divisible by 2  
    if (n % 2 == 0)  
        return 2;  
  
    // iterate from 3 to sqrt(n)  
    for (int i = 3; i * i <= n; i += 2) {  
        if (n % i == 0)  
            return i;  
    }  
  
    return n;  
}  
 static boolean IsP(String s,int l,int r)
 {
      while(l <= r)
      {
          if(s.charAt(l) != s.charAt(r))
          {
              return false;
          }
         l++;
         r--;
      }
      return true;
 }
  
	

    
    
 static class Student{
    int id;
    int val;
     Student(int id,int val)
     {
      this.id = id;
      this.val = val;
     }
 }
   
   
   
 
     static int upperBound(ArrayList<Integer> a, int low, int high, int element){
    while(low < high){
        int middle = low + (high - low)/2;
        if(a.get(middle) >= element)
            high = middle;
        else 
            low = middle + 1;
    }
    return low;
}
   static long func(long t,long e,long h,long a, long b)
   {
       if(e*a >= t)
           return t/a;
       else
       {
           return e + Math.min(h,(t-e*a)/b);
       }
   }
         
      
   
    public static int countSetBits(int number){
        int count = 0;
        while(number>0){
            ++count;
            number &= number-1;
        }
        return count;
    }
    
     
      
 
    
   
     static long modexp(long x,long n,long M)
{
    long power = n;
    long result=1;
    x = x%M;
    while(power>0)
    {
        if(power % 2 ==1)
            result=(result * x)%M;
        x=(x*x)%M;
        power = power/2;
    }
    return result;
}
      static long modInverse(long A,long M)
{
    return modexp(A,M-2,M);
}
    static long gcd(long a,long b)
    {
        if(a==0)
            return b;
        else
            return gcd(b%a,a);
    }
    static class Temp{
        int a;
        int b;
        int c;
        int d;
      
        Temp(int a,int b,int c,int d)
        {
            this.a = a;
            this.b = b;
            this.c  =c;
            this.d = d;
            //this.d = d;
        }
    }
   
    
    
   static long sum1(int t1,int t2,int x,int []t)
   {
       int mid = (t2-t1+1)/2;
  if(t1==t2)
      return 0;
    
   else
   return sum1(t1,mid-1,x,t) + sum1(mid,t2,x,t);
    
     
   }
  
   
    static String replace(String s,int a,int n)
    {
        char []c = s.toCharArray();
        for(int i=1;i<n;i+=2)
        {
            int num = (int) (c[i] - 48);
            num += a;
            num%=10;
            c[i] = (char) (num+48);
        }
        return new String(c);
    }
    static String move(String s,int h,int n)
    {
        h%=n;
        char []c = s.toCharArray();
        char []temp = new char[n];
        for(int i=0;i<n;i++)
        {
            temp[(i+h)%n] = c[i];
        }
        return new String(temp);
    }
    
     public static int ip(String s){
return Integer.parseInt(s);
}
     static class multipliers implements Comparator<Long>{
  
         
  public int compare(Long a,Long b) {
   if(a<b)
    return 1;
   else if(b<a)
    return -1;
   else
    return 0;
  }
 }
     
     static class multipliers1 implements Comparator<Coin>{
  
  public int compare(Coin a,Coin b) {
   if(a.a < b.a)
       return 1;
   else if(a.a > b.a)
       return -1;
   else{ 
       if(a.b < b.b)
       return 1;
   else if(a.b > b.b)
       return -1;
       else
       return 0;
   }
       
  
 
     }
     }
     
// Java program to generate power set in 
// lexicographic order. 
 
    
    
    
      static class InputReader {
 
private final InputStream stream;
private final byte[] buf = new byte[8192];
private int curChar, snumChars;
 
public InputReader(InputStream st) {
this.stream = st;
}
 
public int read() {
if (snumChars == -1)
throw new InputMismatchException();
if (curChar >= snumChars) {
curChar = 0;
try {
snumChars = stream.read(buf);
} catch (IOException e) {
throw new InputMismatchException();
}
if (snumChars <= 0)
return -1;
}
return buf[curChar++];
}
 
public int ni() {
int c = read();
while (isSpaceChar(c)) {
c = read();
}
int sgn = 1;
if (c == '-') {
sgn = -1;
c = read();
}
int res = 0;
do {
res *= 10;
res += c - '0';
c = read();
} while (!isSpaceChar(c));
return res * sgn;
}
 
public long nl() {
int c = read();
while (isSpaceChar(c)) {
c = read();
}
int sgn = 1;
if (c == '-') {
sgn = -1;
c = read();
}
long res = 0;
do {
res *= 10;
res += c - '0';
c = read();
} while (!isSpaceChar(c));
return res * sgn;
}
 
public int[] nia(int n) {
int a[] = new int[n];
for (int i = 0; i < n; i++) {
a[i] = ni();
}
return a;
}
 
public String rs() {
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 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 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;
}
 
}
 
 
 
 
 
   
static PrintWriter w = new PrintWriter(System.out);
                  static class Student1
    {
        int id;
        //int x;
       
       int b;
      
        //long z;
        
        Student1(int id,int b)
        {
            this.id = id;
            //this.x = x;
            //this.s = s;
            this.b = b;
          
           // this.z = z;
            
            
            
           
        }
        
    }
}