poj3390

dp

#include <iostream>
#include <cstdlib>
#include <cstring>
#include <cstdio>
using namespace std;

#define maxn 10005

int n, m;
int value[maxn];
int f[maxn];

void input()
{
    scanf("%d%d", &m, &n);
    for (int i = 1; i <= n; i++)
        scanf("%d", &value[i]);
}

void work()
{
    f[0] = 0;
    value[0] = 0x3f3f3f3f;
    for (int i = 1; i <= n; i++)
    {
        f[i] = f[i - 1] + (m - value[i]) * (m - value[i]);
        int j = i - 1;
        int temp = value[i];
        while (value[j] + temp + 1 <= m)
        {
            temp += value[j] + 1;
            f[i] = min(f[i], f[j - 1] + (m - temp) * (m - temp));
            j--;
        }
    }
    printf("%d\n", f[n]);
}

int main()
{
    //freopen("t.txt", "r", stdin);
    int t;
    scanf("%d", &t);
    while (t--)
    {
        input();
        work();
    }
    return 0;
}