#include <bits/stdc++.h>
using namespace std;
int main() {
  long long int t, b, p, f, h, c, a, z, q, w;
  scanf("%lld", &t);
  while (t--) {
    scanf("%lld %lld %lld", &b, &p, &f);
    scanf("%lld %lld", &h, &c);
    a = p * 2;
    z = f * 2;
    w = a + z;
    if (b <= 1) {
      printf("0\n");
    } else if (b >= w) {
      a = (p * h) + (f * c);
      printf("%lld\n", a);
    } else {
      a = 0;
      z = 0;
      while (b > 1) {
        if (((h > c) && (p > 0)) || (f == 0)) {
          p--;
          a++;
        } else {
          if (f > 0) {
            f--;
            z++;
          } else
            b = -2;
        }
        b -= 2;
      }
      p = (a * h) + (z * c);
      printf("%lld\n", p);
    }
  }
  return 0;
}

### Prompt

Construct a cpp code solution to the problem outlined:

There are two types of burgers in your restaurant — hamburgers and chicken burgers! To assemble a hamburger you need two buns and a beef patty. To assemble a chicken burger you need two buns and a chicken cutlet. 

You have b buns, p beef patties and f chicken cutlets in your restaurant. You can sell one hamburger for h dollars and one chicken burger for c dollars. Calculate the maximum profit you can achieve.

You have to answer t independent queries.

Input

The first line contains one integer t (1 ≤ t ≤ 100) – the number of queries.

The first line of each query contains three integers b, p and f (1 ≤ b, ~p, ~f ≤ 100) — the number of buns, beef patties and chicken cutlets in your restaurant.

The second line of each query contains two integers h and c (1 ≤ h, ~c ≤ 100) — the hamburger and chicken burger prices in your restaurant.

Output

For each query print one integer — the maximum profit you can achieve.

Example

Input


3
15 2 3
5 10
7 5 2
10 12
1 100 100
100 100


Output


40
34
0

Note

In first query you have to sell two hamburgers and three chicken burgers. Your income is 2 ⋅ 5 + 3 ⋅ 10 = 40.

In second query you have to ell one hamburgers and two chicken burgers. Your income is 1 ⋅ 10 + 2 ⋅ 12 = 34.

In third query you can not create any type of burgers because because you have only one bun. So your income is zero.

### Response

```cpp
#include <bits/stdc++.h>
using namespace std;
int main() {
  long long int t, b, p, f, h, c, a, z, q, w;
  scanf("%lld", &t);
  while (t--) {
    scanf("%lld %lld %lld", &b, &p, &f);
    scanf("%lld %lld", &h, &c);
    a = p * 2;
    z = f * 2;
    w = a + z;
    if (b <= 1) {
      printf("0\n");
    } else if (b >= w) {
      a = (p * h) + (f * c);
      printf("%lld\n", a);
    } else {
      a = 0;
      z = 0;
      while (b > 1) {
        if (((h > c) && (p > 0)) || (f == 0)) {
          p--;
          a++;
        } else {
          if (f > 0) {
            f--;
            z++;
          } else
            b = -2;
        }
        b -= 2;
      }
      p = (a * h) + (z * c);
      printf("%lld\n", p);
    }
  }
  return 0;
}

```