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KOPC12A

KOPC12A - K12 - Building Construction


#include <iostream>
#include <cmath>

#define REP(i, n) for(int i = 0; i < n; i++)

using namespace std;

const int N = 10005;

int height[N];
int cost[N];

int n;

//finds the total cost for height h
long long int findCost(int h)
{
    long long c = 0; //cost

    REP(i, n)
    {
        c += abs(h - height[i]) * cost[i];

    }

    return c;

}


int ternary_search(int l, int h)
{

    while(l <= h)
    {

        if(l == h)
            break;

        int mid1 = l + (h - l) / 3;
        int mid2 = h - (h - l) / 3;


        if(findCost(mid1) > findCost(mid2))
            l = mid1 + 1;
        else
            h = mid2 - 1;

    }

    return l;
}

int main()
{
    int t, maxHeight;

    cin >> t;

    while(t--)
    {
        cin >> n;

        maxHeight = 0;

        REP(i, n)
        {
            cin >> height[i];

            if(height[i] > maxHeight)
                maxHeight = height[i];
        }

        REP(i, n)
        {
            cin >> cost[i];
        }

        int h = ternary_search(0, maxHeight);

        cout << findCost(h) << endl;
    }
    return 0;
}

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