C. Liebig's Barrels

You have m = n·k wooden staves. The i-th stave has length ai. You have to assemble nbarrels consisting of k staves each, you can use any k staves to construct a barrel. Each stave must belong to exactly one barrel.

Let volume vj of barrel j be equal to the length of the minimal stave in it.

You want to assemble exactly n barrels with the maximal total sum of volumes. But you have to make them equal enough, so a difference between volumes of any pair of the resulting barrels must not exceed l, i.e. |vx - vy| ≤ l for any 1 ≤ x ≤ n and 1 ≤ y ≤ n.

Print maximal total sum of volumes of equal enough barrels or 0 if it's impossible to satisfy the condition above.

Input

The first line contains three space-separated integers n, k and l (1 ≤ n, k ≤ 105,1 ≤ n·k ≤ 105, 0 ≤ l ≤ 109).

The second line contains m = n·k space-separated integers a1, a2, ..., am (1 ≤ ai ≤ 109) — lengths of staves.

Output

Print single integer — maximal total sum of the volumes of barrels or 0 if it's impossible to construct exactly n barrels satisfying the condition |vx - vy| ≤ l for any 1 ≤ x ≤ n and1 ≤ y ≤ n.

Examples

input

Copy

4 2 1
2 2 1 2 3 2 2 3

output

Copy

7

input

Copy

2 1 0
10 10

output

Copy

20

input

Copy

1 2 1
5 2

output

Copy

2

input

Copy

3 2 1
1 2 3 4 5 6

output

Copy

0

Note

In the first example you can form the following barrels: [1, 2], [2, 2], [2, 3], [2, 3].

In the second example you can form the following barrels: [10], [10].

In the third example you can form the following barrels: [2, 5].

In the fourth example difference between volumes of barrels in any partition is at least 2 so it is impossible to make barrels equal enough.

诸事不顺，操

一个贪心，其实就是分为n堆数，每堆数的最小值相差不能大于limit ，

求出n堆数最小值的和

upper_bound 返回的是第一个大于的数，减去1就是小于等于的数了

 #include <bits/stdc++.h>
 using namespace std;
 const int maxn = 1e5 + ;
 long long a[maxn];
 int n, k, limit;
 int main() {
     scanf("%d%d%d", &n, &k, &limit);
     for (int i =  ; i < n * k ; i++)
         scanf("%lld", &a[i]);
     sort(a, a + n * k );
     int temp = upper_bound(a, a + n * k, a[] + limit) - a;
     long long ans = ;
     int sum = n * k;
     if (temp >= n) {
         int temp1=temp;
         while(sum > temp && sum - temp >= k - ) {
             sum -= k - ;
             ans += a[--temp1];
         }
         for (int i =  ; i * k < temp1 ; i++)
             ans += a[i * k];
     }
     printf("%lld\n", ans);
     return ;
 }