public void Solve(MyInputStream cin)
{
var N = cin.ReadInt();
var C = cin.ReadIntArray(N);
var a = new int[N];
for (int i = 0; i < N; ++i)
{
var cnt = 0;
for (int j = 0; j < N; ++j)
{
if (i == j)
{
continue;
}
if (C[i] % C[j] == 0)
{
cnt++;
}
}
a[i] = cnt;
}
double ret = 0;
for (int i = 0; i < N; ++i)
{
ret += 1.0 * (1 + a[i] / 2) / (a[i] + 1);
}
WriteLine($"{ret:F15}");
}
public void Solve()
{
var cin = new MyInputStream();
var N = cin.ReadInt();
var K = cin.ReadInt();
// dp[????????][???????][??????????(true:0, false:1)]
var dp = new double[N + 1, K + 2, 2];
for (int i = 0; i < K + 1; ++i)
{
dp[N, i, 0] = 0;
dp[N, i, 1] = 1;
}
for (int i = N - 1; i >= 0; --i)
{
// ?????????????
var p = 1.0 / (i + 1.0);
for (int j = 0; j <= K; j++)
{
dp[i, j, 0] = (1 - p) * dp[i + 1, j, 0] + p * Max(dp[i + 1, j + 1, 1], dp[i + 1, j, 0]);
dp[i, j, 1] = (1 - p) * dp[i + 1, j, 1] + p * Max(dp[i + 1, j + 1, 1], dp[i + 1, j, 0]);
}
}
WriteLine(dp[0, 0, 0]);
}
public void Solve(MyInputStream cin)
{
var N = cin.ReadInt();
var H = cin.ReadInt();
var A = cin.ReadInt();
var B = cin.ReadInt();
var C = cin.ReadInt();
var D = cin.ReadInt();
var E = cin.ReadInt();
long X, Y;
long min = (long)A * N;
for (long i = 0; i <= N; ++i)
{
X = i;
if (H + X * B - (N - X) * E > 0)
{
Y = 0;
}
else
{
Y = (((N - X) * E - H - B * X) / (D + E)) + 1;
}
min = Min(A * X + C * Y, min);
}
WriteLine(min);
}
public void Solve(MyInputStream cin)
{
var N = cin.ReadInt();
var M = cin.ReadInt();
var total = 0;
var imos = new long[M + 2];
for (int i = 0; i < N; ++i)
{
var l = cin.ReadInt();
var r = cin.ReadInt();
var s = cin.ReadInt();
imos[l] += s;
imos[r + 1] -= s;
total += s;
}
for (int i = 1; i <= M; ++i)
{
imos[i] += imos[i - 1];
}
var min = (long)int.MaxValue;
for (int i = 1; i <= M; ++i)
{
min = Math.Min(imos[i], min);
}
WriteLine(total - min);
}
public void Solve(MyInputStream cin)
{
var N = cin.ReadInt();
var M = cin.ReadInt();
var g = new AdjacencyListGraph(N);
for (int i = 0; i < M; ++i)
{
var a = cin.ReadInt() - 1;
var b = cin.ReadInt() - 1;
g.AddUnDirectedEdge(a, b, 1);
}
var dist = g.WarshallFloyd();
for (int i = 0; i < N; ++i)
{
if (g[i].Count == 0)
{
WriteLine(0);
}
else
{
var cnt = 0;
for (int j = 0; j < N; ++j)
{
if (dist[i, j] == 2)
{
cnt++;
}
}
WriteLine(cnt - 1);
}
}
}
public void Solve()
{
var cin = new MyInputStream();
var N = cin.ReadInt();
var a = new List <Pair <int> >(N);
for (var i = 0; i < N; ++i)
{
a.Add(new Pair <int>(cin.ReadInt(), cin.ReadInt()));
}
a.Sort((x, y) =>
{
if (x.First == y.First)
{
return(y.Second - x.Second);
}
else
{
return(x.First - y.First);
}
});
var tree = new SegTree(100000);
var ans = 0l;
for (int i = 0; i < N; ++i)
{
var h = a[i].Second;
var now = tree.getMax(0, h) + 1;
ans = Max(ans, now);
tree[h] = now;
}
WriteLine(ans);
}
public void Solve(MyInputStream cin)
{
var N = cin.ReadInt();
var K = cin.ReadInt();
var S = cin.Read();
var s = new Queue <char>(S.ToCharArray().OrderBy(x => x));
var a = new HashMap <char, int>();
var b = new HashMap <char, int>();
for (int i = 0; i < N; ++i)
{
a[S[i]]++;
b[S[i]]++;
}
string T = "";
for (int i = 0; i < N; ++i)
{
a[S[i]]--;
for (int j = 0; j < 26; ++j)
{
if (b[(char)(j + 'a')] > 0)
{
b[(char)(j + 'a')]--;
if (S[i] != (char)(j + 'a'))
{
K--;
}
int diff = 0;
for (int k = 0; k < 26; ++k)
{
diff += Abs(a[(char)(k + 'a')] - b[(char)(k + 'a')]);
}
if (diff / 2 <= K)
{
T += (char)(j + 'a');
break;
}
else
{
if (S[i] != (char)(j + 'a'))
{
K++;
}
b[(char)(j + 'a')]++;
}
}
}
}
WriteLine(T);
}
public void Solve(MyInputStream cin)
{
var N = cin.ReadInt();
var M = cin.ReadInt();
var g = new Graph(N);
var f = new Graph(N);
for (int i = 0; i < M; i++)
{
var u = cin.ReadInt() - 1;
var v = cin.ReadInt() - 1;
var l = cin.ReadInt();
g.AddUnDirectedEdge(u, v, l);
if (u != 0 && v != 0)
{
f.AddUnDirectedEdge(u, v, l);
}
}
var dist = f.WarshallFloyd();
if (g[0].Count < 2)
{
WriteLine(-1);
return;
}
var min = long.MaxValue;
for (int i = 0; i < g[0].Count - 1; ++i)
{
for (int j = i + 1; j < g[0].Count; ++j)
{
if (i != j && dist[g[0][i].To, g[0][j].To] != long.MaxValue)
{
min = Math.Min(dist[g[0][i].To, g[0][j].To] + g[0][i].Cost + g[0][j].Cost, min);
}
}
}
if (min == long.MaxValue)
{
WriteLine(-1);
}
else
{
WriteLine(min);
}
}
public void Solve(MyInputStream cin)
{
var R = cin.ReadInt();
var C = cin.ReadInt();
var K = cin.ReadInt();
var s = cin.ReadStrArray(R);
var b = new int[R, C];
for (int c = 0; c < C; ++c)
{
var i = 0;
for (int r = 0; r < R; ++r)
{
if (s[r][c] != 'x')
{
i++;
}
else
{
i = 0;
}
b[r, c] = i;
}
i = 0;
for (int r = R - 1; r >= 0; --r)
{
if (s[r][c] != 'x')
{
i++;
}
else
{
i = 0;
}
b[r, c] = Min(i, b[r, c]);
}
}
/*
* for (int r = 0; r < R; ++r)
* {
* for (int c = 0; c < C; ++c)
* {
* Write($"{b[r, c]} ");
* }
* WriteLine();
* }
*/
var cnt = 0;
for (int r = K - 1; r < R - K + 1; ++r)
{
for (int c = K - 1; c < C - K + 1; ++c)
{
var flag = true;
for (int k = -K + 1; k < K; ++k)
{
var nx = c + k;
if (nx < 0 || nx >= C)
{
flag = false; break;
}
if (K - Math.Abs(k) > b[r, nx])
{
flag = false; break;
}
}
if (flag)
{
Error.WriteLine($"({c}, {r})"); cnt++;
}
}
}
WriteLine(cnt);
}
