static object Solve()
{
var n = int.Parse(Console.ReadLine());
var a = Read();
var map = new CompressionHashMap(a);
var m = map.Count;
var dpu = new BIT(m);
var dpd = new BIT(m);
foreach (var v in a)
{
var i = map[v] + 1;
dpu.Add(i, dpd.Sum(i - 1));
dpd.Add(i, dpu.Sum(i + 1, m + 1));
dpu.Add(i, 1);
dpd.Add(i, 1);
dpu[i] %= M;
dpd[i] %= M;
}
return((dpu.Sum(m) + dpd.Sum(m) - 2 * n + M) % M);
}
// i 以下のインデックスのうち、交換回数が k 以下となる最小値
static int[] GetLeft(int n, long k, int[] a)
{
var left = new int[n];
var bit = new BIT(n);
var inv = 0L;
var ui = new bool[n];
var uj = new bool[n];
var q = TwoPointers(n, n, (i, j) =>
{
if (!uj[j] && j > 0)
{
inv -= bit.Sum(1, a[j - 1]);
bit.Add(a[j - 1], -1);
}
if (!ui[i])
{
inv += bit.Sum(a[i] + 1, n + 1);
bit.Add(a[i], 1);
}
ui[i] = uj[j] = true;
return(inv <= k);
});
foreach (var(i, j) in q)
{
left[i] = j;
}
return(left);
}
static void Main(string [] args)
{
int [] a = { 3, 6, 1, 7, 2, 8, 4, 9, 10 };
var bit = new BIT(a.Length);
bit.Build(a);
bit.Print();
Console.WriteLine(bit.Sum(a.Length - 1));
bit.Update(3, 2);
Console.WriteLine(bit.Sum(1, 3));
}
public void Solve()
{
for (int i = 0; i < N; i++)
{
A[i] -= K;
}
long[] sum = new long[N + 1];
for (int i = 0; i < N; i++)
{
sum[i + 1] = sum[i] + A[i];
}
long Inf = (long)1e18;
HashSet <long> H = new HashSet <long>();
H.Add(-Inf);
H.Add(Inf);
H.Add(0);
foreach (var v in sum)
{
H.Add(v);
}
var L = H.ToList();
L.Sort();
var dic = new Dictionary <long, int>();
for (int i = 0; i < L.Count; i++)
{
dic.Add(L[i], i);
}
int NN = N * 2;
var BT = new BIT(NN);
for (int i = 1; i <= N; i++)
{
BT.Add(dic[sum[i]] + 1, 1);
}
long ans = 0;
ans += N - BT.Sum(dic[L[dic[0]]]);
BT.Add(dic[sum[1]] + 1, -1);
BT.Add(dic[-Inf] + 1, 1);
for (int i = 1; i < N; i++)
{
ans += N - BT.Sum(dic[L[dic[sum[i]]]]);
BT.Add(dic[sum[i + 1]] + 1, -1);
BT.Add(dic[-Inf] + 1, 1);
}
Console.WriteLine(ans);
}
static void Main()
{
Console.SetOut(new System.IO.StreamWriter(Console.OpenStandardOutput())
{
AutoFlush = false
});
var h = Read();
var n = h[0];
var a = Read();
var st = new BIT(n);
for (int i = 0; i < n; i++)
{
st.Add(i + 1, a[i]);
}
for (int k = 0; k < h[1]; k++)
{
var q = Read();
if (q[0] == 0)
{
st.Add(q[1] + 1, q[2]);
}
else
{
Console.WriteLine(st.Sum(q[1] + 1, q[2] + 1));
}
}
Console.Out.Flush();
}
static void Main()
{
var(n, qc) = Read2();
var qs = Array.ConvertAll(new bool[qc], _ => Read());
var bit = new BIT(n);
Console.SetOut(new System.IO.StreamWriter(Console.OpenStandardOutput())
{
AutoFlush = false
});
foreach (var q in qs)
{
var k = q[1];
if (q[0] == 1)
{
var v = bit.Sum(k <= n ? n - k + 1 : k - n, n + 1);
Console.WriteLine(v % 2 == 0 ? k : 2 * n - k + 1);
}
else
{
bit.Add(k, 1);
}
}
Console.Out.Flush();
}
static object Solve()
{
var n = int.Parse(Console.ReadLine());
var a = Read();
var p2 = MPows(2, n);
var p2_ = MPows(MHalf, n);
var map = new CompressionHashMap(a);
var bit = new BIT(map.Count);
var r = 0L;
for (int i = 0; i < n; i++)
{
var v = map[a[i]] + 1;
r += bit.Sum(v) % M * p2_[n - i];
r %= M;
bit.Add(v, p2[n - 1 - i]);
}
return(r);
}
static void Main()
{
Console.WriteLine("I love you");
int [] arr = { 4, 6, 1, 8, 3, 2, 9, 0, 5, 7 };
var bit = new BIT(arr);
bit.Display();
Console.WriteLine();
for (int i = 0; i < arr.Length; i++)
{
Console.Write(bit.Sum(i) + " ");
}
bit.Update(10, 7);
Console.WriteLine();
for (int i = 0; i < arr.Length; i++)
{
Console.Write(bit.Sum(i) + " ");
}
Console.Write(bit.Sum(1) - bit.Sum(0));
}
public void Solve()
{
var h = new HashSet <long>();
h.Add(0);
for (int i = 0; i < N; i++)
{
h.Add(A[i]);
}
var l = h.ToList();
l.Sort();
var dic = new Dictionary <long, int>();
for (int i = 0; i < l.Count; i++)
{
dic.Add(l[i], i);
}
long max = 0;
List <int> pos = new List <int>();
for (int i = 0; i < N; i++)
{
if (max < A[i])
{
pos.Add(i);
max = A[i];
}
}
var cntBT = new BIT(N);
var totBT = new BIT(N);
for (int i = 0; i < N; i++)
{
cntBT.Add(dic[A[i]] + 1, 1);
totBT.Add(dic[A[i]] + 1, A[i]);
}
long total = A.Sum();
long done = 0;
long[] ans = new long[N];
for (int i = pos.Count - 1; i > 0; i--)
{
long del = (total - totBT.Sum(dic[A[pos[i - 1]]])) - A[pos[i - 1]] * (N - cntBT.Sum(dic[A[pos[i - 1]]]));
ans[pos[i]] = del - done;
done = del;
}
ans[0] = total - done;
Console.WriteLine(String.Join("\n", ans));
}
public static long InversionNumber(int n, int[] a)
{
var r = 0L;
var bit = new BIT(n);
for (int i = 0; i < n; ++i)
{
r += i - bit.Sum(a[i]);
bit.Add(a[i], 1);
}
return(r);
}
public static long Inversion(int[] s)
{
var ans = 0L;
var bit = new BIT(s.Length);
for (var j = 0; j < s.Length; j++)
{
ans += j - bit.Sum(s[j]);
bit.Add(s[j], 1);
}
return(ans);
}
static void Main()
{
var n = int.Parse(Console.ReadLine());
var a = Console.ReadLine().Split().Select(int.Parse).Select((x, i) => new { x, i }).OrderBy(_ => _.x).ToArray();
var st = new BIT(n);
var r = 0L;
for (int i = 0; i < n; i++)
{
r += st.Sum(a[i].i + 1, n + 1);
st.Add(a[i].i + 1, 1);
}
Console.WriteLine(r);
}
static object Solve()
{
var(n, k) = ((int, long))Read2L();
var a = Read();
var compMap = new CompressionHashMap(a);
a = compMap.Compressed;
a = Array.ConvertAll(a, x => x + 1);
var left = GetLeft(n, k, a);
var bit = new BIT(n + 1);
bit[1] = 1;
for (int i = 0; i < n; i++)
{
bit[i + 2] = bit.Sum(left[i] + 1, i + 2) % M;
}
return(bit[n + 1]);
}
static void Main()
{
var k = int.Parse(Console.ReadLine());
var a = new int[k].Select(_ => { Console.ReadLine(); return(Read()); }).ToArray();
Console.ReadLine();
var b = Read();
var t = a.Select(ai => Tally(ai, 20)).ToArray();
var inv = a.Select(ai =>
{
var sum = 0L;
var bit = new BIT(20);
foreach (var x in ai)
{
sum += bit.Sum(x + 1, 21);
bit.Add(x, 1);
}
return(sum);
}).ToArray();
var st = new BIT(20);
var r = 0L;
foreach (var bi in b)
{
for (int x = 1; x <= 20; x++)
{
r = (r + st.Sum(x + 1, 21) * t[bi - 1][x]) % M;
}
r = (r + inv[bi - 1]) % M;
for (int x = 1; x <= 20; x++)
{
st.Add(x, t[bi - 1][x]);
}
}
Console.WriteLine(r);
}
public void Solve()
{
int N = S.Length;
int M = T.Length;
var BTSA = new BIT(N);
var BTSB = new BIT(N);
var BTTA = new BIT(N);
var BTTB = new BIT(N);
for (int i = 0; i < N; i++)
{
if (S[i] == 'A')
{
BTSA.Add(i + 1, 1);
}
if (S[i] == 'B')
{
BTSB.Add(i + 1, 1);
}
}
for (int i = 0; i < M; i++)
{
if (T[i] == 'A')
{
BTTA.Add(i + 1, 1);
}
if (T[i] == 'B')
{
BTTB.Add(i + 1, 1);
}
}
int[][] jud = new int[3][];
jud[0] = new int[] { 0, -1, 1 };
jud[1] = new int[] { 1, 0, -1 };
jud[2] = new int[] { -1, 1, 0 };
var sbd = new StringBuilder();
for (int q = 0; q < Q; q++)
{
int a = Query[q][0];
int b = Query[q][1];
int c = Query[q][2];
int d = Query[q][3];
int sa = BTSA.Sum(b) - BTSA.Sum(a - 1);
int sb = BTSB.Sum(b) - BTSB.Sum(a - 1);
int ta = BTTA.Sum(d) - BTTA.Sum(c - 1);
int tb = BTTB.Sum(d) - BTTB.Sum(c - 1);
sa %= 3;
sb %= 3;
ta %= 3;
tb %= 3;
if (jud[sa][sb] == jud[ta][tb])
{
sbd.AppendLine("YES");
}
else
{
sbd.AppendLine("NO");
}
}
Console.Write(sbd.ToString());
}