HackerEarth Game Of Strengths problem solution

YASH PAL, 31 July 202415 February 2026

In this HackerEarth Game of Strengths problem solution, Andrew is very fond of Maths.He has N boxes with him,in each box there is some value which represents the Strength of the Box.The ith box has strength A[i]. He wants to calculate the Overall Power of the all N Boxes.

Overall Power here means Sum of Absolute Difference of the strengths of the boxes(between each pair of boxes) multiplied by the Maximum strength among N boxes. Since the Overall Power could be a very large number,output the number modulus 10^9+7(1000000007).

HackerEarth Game Of Strengths problem solution

HackerEarth Game Of Strengths problem solution.

#include<iostream>
#include<map>
#include<vector>
#include<iostream>
#include<algorithm>
#include<cstring>
#include<cstdio>
#include<cmath>
#include<functional>
#include<vector>
#include<stack>
#include<set>
#include<map>
#include<queue>
#include<deque>
#define MOD 1000000007
using namespace std;
long long arr[1000010];
int main()
{
    int i,n,t;
    cin>>t;
    while(t--)
    {
        cin>>n;
        for(i=0;i<n;i++)
        {
            cin>>arr[i];
        }
        sort(arr,arr+n,greater<long long>());
        long long ans=0,temp;
        for(i=0;i<n-1;i++)
        {
            ans=(ans+(n-i-1)*arr[i])%MOD;
        }
        temp=MOD*(long long)100000;
        for(i=n-1;i>0;i--)
        {
            ans=(temp+ans-(i)*arr[i])%MOD;
        }
        ans=(ans*arr[0])%MOD;
        cout<<ans<<endl;
    }   
    return(0);
}

Second solution

#include<iostream>
#include<cstdio>
#include<algorithm>
#include<cstring>
#include<cmath>
#include<vector>
#include<cassert>
#include<set>
#include<queue>
#include<map>

using namespace std;

#define vi vector < int >
#define pb push_back
#define ll long long
#define llu unsigned long long
#define MOD 1000000007
#define INF 2000000000
#define dbg(x) { cout<< #x << ": " << (x) << endl; }
#define all(x) x.begin(),x.end()

ll a[100005];

int main()
{
    int t,n,i;
    scanf("%d",&t);
    assert(1<=t && t<=10);
    while(t--)
    {
              scanf("%d",&n);
              assert(2<=n && n<=100000);
              ll mx = -INF;
              for(i=1;i<=n;i++)
              {
                 scanf("%lld",&a[i]);
                 assert(0<=a[i] && a[i]<=1000000000);
                 mx = max(mx,a[i]);
              }
              mx %= MOD;
              ll ans = 0;
              sort(a+1,a+n+1);
              ll sum = 0;
              for(i=1;i<=n;i++)
              {
                  ans = (ans+((i-1)*a[i] - sum+MOD)%MOD)%MOD;
                  sum = (sum+a[i])%MOD;
              }
              ans = (ans*mx)%MOD;
              printf("%lldn",ans);
    }
    //system("pause");
    return 0;
}

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