/*
Templete by norman/KNN-07
Who tf even love CP :sob:
*/
#ifndef LOCAL
#include "bubblesort2.h"
#endif
#include <bits/stdc++.h>
// Wish you can debug? YesYes
#ifndef LOCAL
#define cerr \
if (0) \
cerr
#endif
// Policy based DS?
// #include <ext/pb_ds/assoc_container.hpp>
// #include <ext/pb_ds/tree_policy.hpp>
// using namespace __gnu_pbds;
#pragma GCC optimize("Ofast,unroll-loops,inline")
// Bitwise pragma fuck
// #pragma GCC target("avx,avx2,bmi")
// Who tf deal with overflow
// #define int long long
/*
pbds blog :
https://codeforces.com/blog/entry/11080
https://codeforces.com/blog/entry/13279
*/
// Useful pbds
// typedef tree<int, null_type, less<int>, rb_tree_tag, tree_order_statistics_node_update> ordered_set;
// typedef tree<int, null_type, less_equal<int>, rb_tree_tag, tree_order_statistics_node_update> ordered_multiset;
// typedef trie<string, null_type, trie_string_access_traits<>, pat_trie_tag, trie_prefix_search_node_update> pref_trie;
// Judges with GCC >= 12 only needs Ofast
// #pragma GCC optimize("O3,no-stack-protector,fast-math,unroll-loops,tree-vectorize")
// MLE optimization
// #pragma GCC optimize("conserve-stack")
// Old judges
// #pragma GCC target("sse4.2,popcnt,lzcnt,abm,mmx,fma,bmi,bmi2")
// New judges. Test with assert(__builtin_cpu_supports("avx2"));
// #pragma GCC target("arch=skylake")
// Atcoder
// #pragma GCC target("avx2,popcnt,lzcnt,abm,bmi,bmi2,fma")
using namespace std;
#define el '\n'
#define mpp make_pair
#define pb push_back
#define ppb pop_back
#define pf push_front
#define emp emplace_back
#define fi first
#define nd second
#define forinc(i, a, b) for (int i = (a); i <= (b); i++)
#define fordec(i, a, b) for (int i = (a); i >= (b); i--)
#define alle(x) (x).begin(), (x).end()
#define ralle(x) (x).rbegin(), (x).rend()
#define mms(a, v) memset(a, v, sizeof(a))
#define lwb(a, v) lower_bound((a).begin(), (a).end(), v)
#define upb(a, v) upper_bound((a).begin(), (a).end(), v)
#define bit(i, a) (((a) >> (i)) & 1)
#define BIT_SET(a, b) ((a) |= (1ULL << (b)))
#define BIT_CLEAR(a, b) ((a) &= ~(1ULL << (b)))
#define BIT_FLIP(a, b) ((a) ^= (1ULL << (b)))
#define BIT_CHECK(a, b) (!!((a) & (1ULL << (b))))
#define BITMASK_SET(x, mask) ((x) |= (mask))
#define BITMASK_CLEAR(x, mask) ((x) &= (~(mask)))
#define BITMASK_FLIP(x, mask) ((x) ^= (mask))
#define BITMASK_CHECK_ALL(x, mask) (!(~(x) & (mask)))
#define BITMASK_CHECK_ANY(x, mask) ((x) & (mask))
#define POPCNT(mask) __builtin_popcount(mask)
#define POPCNTLL(mask) __builtin_popcountll(mask)
#define CTZ(mask) __builtin_ctz(mask)
#define CTZLL(mask) __builtin_ctzll(mask)
typedef long long ll;
typedef unsigned long long ull;
typedef long double ldb;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef vector<int> vi;
typedef vector<ll> vll;
typedef map<int, int> mii;
typedef map<ll, ll> mll;
typedef vector<bool> vb;
template <typename T, typename U>
inline void maximize(T &x, U y)
{
if (y < x)
x = y;
}
template <typename T, typename U>
inline void minimize(T &x, U y)
{
if (x < y)
x = y;
}
inline int add_m(int a, int b, int mod)
{
int res = a + b;
return (res >= mod ? res - mod : res);
}
inline int mod_neg(int a, int b, int mod)
{
int res;
if (abs(a - b) < mod)
res = a - b;
else
res = (a - b) % mod;
return (res < 0 ? res + mod : res);
}
inline int mul_wmod(int a, int b, int c)
{
ll res = (ll)a * b;
return (res >= c ? res % c : res);
}
inline int mul_wnmod(int a, int b, int c)
{
ll res = (ll)a * b;
return ((res % c) + c) % c;
}
// Debugger Utils
template <typename A, typename B>
ostream &operator<<(ostream &os, const pair<A, B> &p) { return os << '(' << p.first << ", " << p.second << ')'; }
template <size_t i, class T>
ostream &print_tuple_utils(ostream &out, const T &tup)
{
if constexpr (i == tuple_size<T>::value)
return out << ")";
else
return print_tuple_utils<i + 1, T>(out << (i ? ", " : "(") << get<i>(tup), tup);
}
template <class... U>
ostream &operator<<(ostream &out, const tuple<U...> &t)
{
return print_tuple_utils<0, tuple<U...>>(out, t);
}
#define db(val) "[" #val " = " << (val) << "] "
// End if debugger utils
namespace Hasher
{
struct custom_hash
{
static uint32_t splitmix64(uint32_t x)
{
x += 0x9e3779b97f4a7c15;
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
return x ^ (x >> 31);
}
size_t operator()(uint64_t x) const
{
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
return splitmix64(x + FIXED_RANDOM);
}
};
struct hash_pair
{
template <class T1, class T2>
size_t operator()(const pair<T1, T2> &p) const
{
auto hash1 = custom_hash{}(p.first);
auto hash2 = custom_hash{}(p.second);
if (hash1 != hash2)
return hash1 ^ hash2;
return hash1;
}
};
struct hash_pair_pair
{
template <class T1, class T2>
size_t operator()(const pair<T1, T2> &p) const
{
auto hash1 = custom_hash{}(p.first);
auto hash2 = hash_pair{}(p.second);
if (hash1 != hash2)
return hash1 ^ hash2;
return hash1;
}
};
}
using namespace Hasher;
const string taskname = "";
const bool tc = false;
const int oo = 1e9, mod = 1e9 + 7;
const int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1};
const ll ool = 1e18;
const ldb eps = 1e-6;
const int MAXN = 1e6;
/*
Author: normankr07
Problem:
Submission links:
Editorial links:
Algorithm:
*/
struct MaxST
{
struct STNode
{
ll lazy;
ll val;
};
int n, a[MAXN];
STNode t[4 * MAXN];
void downtree(int v)
{
auto &cur = t[v];
t[v * 2].lazy += cur.lazy;
t[v * 2].val += cur.lazy;
t[v * 2 + 1].lazy += cur.lazy;
t[v * 2 + 1].val += cur.lazy;
cur.lazy = 0;
}
void update(int v, int tl, int tr, int l, int r, int addend)
{
if (l > r)
return;
if (l == tl && tr == r)
{
t[v].val += addend;
t[v].lazy += addend;
}
else
{
downtree(v);
int tm = (tl + tr) / 2;
update(v * 2, tl, tm, l, min(r, tm), addend);
update(v * 2 + 1, tm + 1, tr, max(l, tm + 1), r, addend);
t[v].val = max(t[v * 2].val, t[v * 2 + 1].val);
}
}
int query(int v, int tl, int tr, int l, int r)
{
if (l > r)
return INT_MIN;
if (l == tl && tr == r)
return t[v].val;
downtree(v);
int tm = (tl + tr) / 2;
return max(query(v * 2, tl, tm, l, min(r, tm)),
query(v * 2 + 1, tm + 1, tr, max(l, tm + 1), r));
}
} f;
vi countScans(vi a, vi x, vi v)
{
int n = a.size();
int q = x.size();
// pair (val ,id);
vi ans(q);
vector<pii> compress;
for (int i = 0; i < n; i++)
{
compress.pb({a[i], i});
}
for (int i = 0; i < q; i++)
{
compress.pb({v[i], x[i]});
}
sort(alle(compress));
compress.erase(unique(alle(compress)), compress.end());
int sz = compress.size();
for (int i = 0; i < n; i++)
{
int pos = lwb(compress, mpp(a[i], i)) - compress.begin() + 1;
f.update(1, 1, sz, pos, pos, i + 1);
f.update(1, 1, sz, pos, sz, -1);
}
for (int i = 0; i < q; i++)
{
int pos = lwb(compress, mpp(a[x[i]], x[i])) - compress.begin() + 1;
f.update(1, 1, sz, pos, pos, -x[i] - 1);
f.update(1, 1, sz, pos, sz, 1);
a[x[i]] = v[i];
pos = lwb(compress, mpp(v[i], x[i])) - compress.begin() + 1;
f.update(1, 1, sz, pos, pos, x[i] + 1);
f.update(1, 1, sz, pos, sz, -1);
ans[i] = f.query(1, 1, sz, 1, sz);
}
return ans;
}
#ifdef LOCAL
void solve()
{
int n, q;
cin >> n >> q;
vi a(n), x(q), v(q);
for (auto &x : a)
cin >> x;
for (int i = 0; i < q; i++)
{
cin >> x[i] >> v[i];
}
vi res = countScans(a, x, v);
for (auto v : res)
cout << v << el;
}
int32_t main()
{
if (fopen((taskname + ".inp").c_str(), "r"))
{
freopen((taskname + ".inp").c_str(), "r", stdin);
freopen((taskname + ".out").c_str(), "w", stdout);
}
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
int tsc = 1;
if (tc)
{
cin >> tsc;
}
while (tsc--)
{
solve();
cout << el;
}
cerr << "\n"
<< "Time elapsed: " << 1.0 * clock() / CLOCKS_PER_SEC << " s.\n";
}
#endif
