Submission #391301

#TimeUsernameProblemLanguageResultExecution timeMemory
391301BTheroRMQ (NOI17_rmq)C++17
100 / 100
103 ms11912 KiB
// chrono::system_clock::now().time_since_epoch().count()
#include <bits/stdc++.h>

#define pb push_back
#define eb emplace_back
#define mp make_pair
#define fi first
#define se second
#define all(x) (x).begin(), (x).end()
#define sz(x) (int)(x).size()
#define rep(i, a, b) for (int i = (a); i < (b); ++i)
#define debug(x) cerr << #x << " = " << x << endl

using namespace std;

typedef long long ll;
typedef pair<int, int> pii;
typedef vector<int> vi;

const int MAXN = (int)1e5 + 5;

vi mem[MAXN];
int t[MAXN << 2];
int lim[MAXN], ans[MAXN];
array<int, 3> que[MAXN];
pii seg[MAXN];
int n, q;

void update(int v, int tl, int tr, int l, int r, int x) {
    if (l > r || tl > r || tr < l) {
        return;
    }
    
    if (l <= tl && tr <= r) {
        t[v] = max(t[v], x);
        return;
    }

    int mid = (tl + tr) >> 1;
    int c1 = (v << 1), c2 = (c1 | 1);

    update(c1, tl, mid, l, r, x);
    update(c2, mid + 1, tr, l, r, x);
}

void go(int v, int tl, int tr, int x = 0) {
    x = max(x, t[v]);
    
    if (tl == tr) {
        lim[tl] = x;
        return;
    }

    int mid = (tl + tr) >> 1;
    int c1 = (v << 1), c2 = (c1 | 1);

    go(c1, tl, mid, x);
    go(c2, mid + 1, tr, x);
}

void solve() {
    cin >> n >> q;
    fill(seg, seg + n, mp(0, n - 1));

    rep (i, 0, q) {
        int l, r, x;
        cin >> l >> r >> x;
        que[i] = {l, r, x};
        seg[x].fi = max(seg[x].fi, l);
        seg[x].se = min(seg[x].se, r);
        update(1, 0, n - 1, l, r, x);
    }

    go(1, 0, n - 1);

    rep (i, 0, n) {
        mem[lim[i]].pb(i);
    }

    fill(ans, ans + n, -1);
    set<int> S;

    rep (i, 0, n) {
        for (int x : mem[i]) {
            S.insert(x);
        }

        auto it = S.lower_bound(seg[i].fi);

        if (it == S.end() || *it > seg[i].se) {
            rep (i, 0, n) {
                cout << -1 << " \n"[i == n - 1];
            }

            return;
        }

        ans[*it] = i;
        S.erase(it);
    }

    rep (i, 0, n) {
        cout << ans[i] << " \n"[i == n - 1];
    }
}

int main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);

    int tt = 1;

    for (int i = 1; i <= tt; ++i) {
        solve();
    }

    return 0;
}
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