/*

* Author:heroming

* File:dft.cpp

* Time:2016/07/15 12:23:09

*/

#include <vector>

#include <list>

#include <set>

#include <map>

#include <deque>

#include <queue>

#include <stack>

#include <bitset>

#include <algorithm>

#include <functional>

#include <numeric>

#include <utility>

#include <sstream>

#include <iostream>

#include <string>

#include <iomanip>

#include <cstdio>

#include <cmath>

#include <cstdlib>

#include <cstring>

#include <ctime>

using namespace std;

#define px first

#define py second

#define pb push_back

#define sz(v) ((int)(v).size())

#define all(v) (v).begin(), (v).end()

#define clr(v, e) memset(v, e, sizeof(v))

#define rep(it, v) for (auto it : v)

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

#define form(i, a, b) for (int i = (a); i <= (b); ++ i)

#define forv(i, v) for (int i = 0; i < sz(v); ++ i)

#define iter(it, v) for (auto it = v.begin(); it != v.end(); ++ it)

typedef long long lint;

typedef vector<int> vint;

typedef vector<string> vstring;

typedef pair<int, int> pint;

typedef vector<lint> vlint;

typedef vector<pint> vpint;

const int maxn = 64;

const double pi = acos(-1.0);

const double e = 2.0 * pi / maxn;

double v[maxn];

double a[maxn], b[maxn];

double x[maxn], y[maxn];

void dft() {

for (int k = 0; k < maxn; ++ k) {

x[k] = y[k] = 0.0;

for (int i = 0; i < maxn; ++ i) {

double l_cos = cos(e * k * i);

double l_sin = sin(e * k * i);

x[k] += v[i] * l_cos;

y[k] -= v[i] * l_sin;

}

}

}

void idft() {

for (int k = 0; k < maxn; ++ k) {

a[k] = b[k] = 0.0;

for (int i = 0; i < maxn; ++ i) {

double l_cos = cos(e * k * i);

double l_sin = sin(e * k * i);

a[k] += x[i] * l_cos - y[i] * l_sin;

b[k] += x[i] * l_sin + y[i] * l_cos;

}

a[k] /= maxn;

}

}

int main() {

freopen("data.in", "r", stdin);

freopen("data.dat", "w", stdout);

for (int i = 0; i < maxn; ++ i) {

scanf("%lf", &v[i]);

}

dft();

const double threshold = 2000.0;

int cnt = 0;

for (int i = 0; i < maxn; ++ i) {

double fre = sqrt(x[i] * x[i] + y[i] * y[i]);

printf("%.6lf\n", fre < threshold ? 0.0 : 500);

if (fre < threshold) {

++ cnt;

x[i] = y[i] = 0.0;

}

}

idft();

freopen("data.out", "w", stdout);

for (int i = 0; i < maxn; ++ i) {

printf("%.6lf\n", a[i]);

}

freopen("/dev/tty", "w", stdout);

double sum = 0.0, dif = 0.0;

for (int i = 0; i < maxn; ++ i) {

sum += v[i];

dif += abs(v[i] - a[i]);

}

printf("%d : %.2lf\n", cnt, dif / sum * 100.0);

return 0;

}