public void solve(int testNumber, FastReader in, PrintWriter out) {
int n = in.nextInt();
int[] len = new int[n];
for (int i = 0; i < n; ++i) {
len[i] = in.nextInt();
}
double lr = 0;
double rr = 1e6;
for (int it = 0; it < 50; ++it) {
double r = (lr + rr) / 2;
double[] dp = new double[n + 1];
boolean ok = true;
for (int i = 0; i < n; ++i) {
int l = len[i];
double mn = Math.abs(dp[i] - l);
if (mn > r + EPS) {
ok = false;
break;
}
double mx = Math.min(r, dp[i] + l);
dp[i + 1] = mx;
}
if (ok) {
rr = r;
} else {
lr = r;
}
}
out.printf(LOCALE, "%.15f\n", (lr + rr) / 2);
}
public void solve(int testNumber, FastReader in, FastWriter out) {
int n = in.nextInt();
int m = in.nextInt();
int[] a = new int[n];
a[0] = in.nextInt();
for (int i = 1; i < n; i++) {
a[i] = (23 * a[i - 1] + 21563) % 16714589;
}
SparseTableMin table = new SparseTableMin(a);
int u = in.nextInt();
int v = in.nextInt();
for (int i = 1; i < m; i++) {
int ans = table.getMin(Math.min(u, v) - 1, Math.max(u, v));
int newU = (17 * u + 751 + ans + 2 * i) % n + 1;
int newV = (13 * v + 593 + ans + 5 * i) % n + 1;
u = newU;
v = newV;
}
out.println(u + " " + v + " " + table.getMin(Math.min(u, v) - 1, Math.max(u, v)));
}
public void solve(int testNumber, FastReader in, FastWriter out) {
int n = in.nextInt();
int[] p = in.nextArrayInt(n);
List<BigInteger>[] poly = new List[n];
for (int i = 0; i < n; i++) {
poly[i] = new ArrayList<>();
int size = in.nextInt() + 1;
for (int j = 0; j < size; j++) {
poly[i].add(BigInteger.valueOf(in.nextInt()));
}
Collections.reverse(poly[i]);
}
Set<Integer>[] g = new Set[n];
for (int i = 0; i < n; i++) {
g[i] = new HashSet<>();
}
int edges = in.nextInt();
for (int i = 0; i < edges; i++) {
g[in.nextInt() - 1].add(in.nextInt() - 1);
}
int pS = 0;
for (int i = 0; i < n; i++) {
pS += p[i];
}
BigInteger fmax = BigInteger.ZERO;
boolean[] used = new boolean[n];
int[] ans = new int[n];
for (int it = 0; it < n; ++it) {
int job = -1;
BigInteger cur = null;
for (int i = 0; i < n; ++i) {
if (!used[i] && g[i].isEmpty()) {
BigInteger now = eval(poly[i], pS);
if (job < 0 || cur.compareTo(now) > 0) {
job = i;
cur = now;
}
}
}
assert (job >= 0);
fmax = fmax.max(cur);
used[job] = true;
pS -= p[job];
ans[job] = pS;
for (int i = 0; i < n; ++i) {
g[i].remove(job);
}
}
out.println(fmax);
out.printArray(ans);
}