#include <bits/stdc++.h>
 
#define FO(i,a,b) for (int i = (a); i < (b); i++)
#define sz(v) int(v.size())
 
#define N 100000 // Num Points, each 1 Kg spaced equally on circle of radius 1 about origin
#define G 1 // We only care about direction of force so let G = 1 should be fine
 
double tests[] = {0,0.5,0.8,0.9,0.99,1.1,1.2,1.3,2,3,4};
 
using namespace std;
 
double y[N], x[N];
 
int main() {
    FO(i,0,N) y[i] = sin(i*2*M_PI/N), x[i] = cos(i*2*M_PI/N);
    FO(Z,0,sizeof(tests)/sizeof(double)) {
        double py = tests[Z];
        // calculate direction of gravitational field at (0,py)
        printf("FIELD from (0,%lf)\n", py);
        double fy = 0;
        FO(i,0,N) {
            if (abs(y[i]-py) < 1e-6) continue;
 
            double r2 = pow(y[i]-py,2)+pow(x[i],2);
            double F = G / r2;
            double dy = abs(y[i]-py);
            double DY = F * dy / sqrt(r2);
            if (y[i] < py) fy -= DY;
            else fy += DY;
        }
        if (fy > 1e-6) printf("UP\n");
        else if (fy < -1e-6) printf("DOWN\n");
        else printf("NO NET FORCE\n");
        printf("%lf\n", fy);
    }
}
 
 

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