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// compile: make data
// run: ./data < data.in
#include <bits/stdc++.h>
using namespace std;
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
#ifdef LOCAL
#include <debug/codeforces.h>
#define debug(x...) _debug_print(#x, x);
#define Debug(x...) _debug_print_format(#x, x);
std::ifstream terminal("/dev/tty");
#define PP cerr<<"\033[1;30mpause...\e[0m",terminal.ignore();
#else
#define debug(x...)
#define Debug(x...)
#define PP
#endif
template<typename...Args> void print_(Args...args){((cout<<args<<" "),...)<<endl;}
#define rep(i,a,b) for(int i=(a);i<(int)(b);++i)
#define sz(v) ((int)(v).size())
#define print(...) print_(__VA_ARGS__);
#define FIND(a, x) ((find(a.begin(),a.end(),(x))!=a.end())?1:0)
#define cmin(x,...) x=min({(x),__VA_ARGS__})
#define cmax(x,...) x=max({(x),__VA_ARGS__})
#define INTMAX (int)(9223372036854775807)
#define INF (int)(1152921504606846976)
#define NaN (int)(0x8b88e1d0595d51d1)
#define double long double
#define int long long
#define uint unsigned long long
#define MAXN 200010

int32_t main() {
    ios::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr);

    int m, n; cin >> m >> n;
    set<pair<int, int>, greater<pair<int, int>>> itv, s;
    itv.insert({1, m}), s.insert({m, -1});
    rep(i, 0, n) {
        int x; cin >> x;
        auto itvit = itv.lower_bound({x, INF});
        auto sit = s.lower_bound({itvit->second - itvit->first + 1, INF});
        pair<int, int> a = {itvit->first, x}, b = {x+1, itvit->second};
        itv.erase(itvit), s.erase(sit);
        if (a.first <= a.second) itv.insert(a), s.insert({a.second - a.first + 1, i});
        if (b.first <= b.second) itv.insert(b), s.insert({b.second - b.first + 1, n+i});
        cout << s.begin()->first << " ";
        // debug(itv)
        // debug(s)
    }
    cout << endl;

    return 0;
}
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Source: github.com/k4yt3x/flowerhd
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