Submission #905175

#	Time	Username	Problem	Language	Result	Execution time	Memory
905175		LOLOLO	RMQ (NOI17_rmq)	C++17	100 / 100	243 ms	12248 KiB

rmq

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;

#define           f     first
#define           s     second
#define           pb    push_back
#define           ep    emplace
#define           eb    emplace_back
#define           lb    lower_bound
#define           ub    upper_bound
#define       all(x)    x.begin(), x.end()
#define      rall(x)    x.rbegin(), x.rend()
#define   uniquev(v)    sort(all(v)), (v).resize(unique(all(v)) - (v).begin())
#define     mem(f,x)    memset(f , x , sizeof(f))
#define        sz(x)    (int)(x).size()
#define  __lcm(a, b)    (1ll * ((a) / __gcd((a), (b))) * (b))
#define          mxx    *max_element
#define          mnn    *min_element
#define    cntbit(x)    __builtin_popcountll(x)
#define       len(x)    (int)(x.length())

const int N = 1e5 + 100;
vector <pair <int, int> > save[N];
int ans[N], seg[N * 4];

void upd(int id, int l, int r, int u, int v, int s) {
    if (l > v || r < u)
        return;

    if (l >= u && r <= v) {
        seg[id] = max(seg[id], s);
        return;
    }

    int m = (l + r) / 2;
    upd(id * 2, l, m, u, v, s);
    upd(id * 2 + 1, m + 1, r, u, v, s);
}

int get(int id, int l, int r, int p) {
    if (l > p || r < p)
        return 0;

    int ans = seg[id];
    if (l == r)
        return ans;

    int m = (l + r) / 2;
    return max({ans, get(id * 2, l, m, p), get(id * 2 + 1, m + 1, r, p)});
}

int n, q;
bool cmp(int a, int b) {
    return get(1, 0, n - 1, a) < get(1, 0, n - 1, b);
}

void out() {
    for (int i = 0; i < n; i++)
        cout << -1 << " ";

    exit(0);
}

int main() {
    mem(ans, -1);
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);

    cin >> n >> q;

    for (int i = 1; i <= q; i++) {
        int l, r, v;
        cin >> l >> r >> v;
        upd(1, 0, n - 1, l, r, v);
        save[v].pb(make_pair(l, r));
    }

    set <int> on;
    for (int i = 0; i < n; i++) {
        on.insert(i);
    }

    vector <int> need, val;

    for (int i = n - 1; i >= 0; i--) {
        if (save[i].empty()) {
            val.pb(i);
            continue;
        }

        int l = 0, r = n - 1;
        for (auto x : save[i]) {
            l = max(l, x.f);
            r = min(r, x.s);
        }

        auto it = on.lower_bound(l);
        if (it != on.end() && *it <= r) {
            ans[*it] = i;
            on.erase(*it);
        } else {
            out();
        }

        for (auto x : save[i]) {
            int l = x.f, r = x.s;
            auto it = on.lower_bound(l);
            vector <int> add;
            while (it != on.end() && *it <= r) {
                add.pb(*it);
                it = next(it);
            }

            for (auto e : add) {
                on.erase(e);
                need.pb(e);
            }
        }
    }

    while (sz(on)) {
        need.pb(*(on.begin()));
        on.erase(*(on.begin()));
    }

    sort(all(need), cmp);
    sort(all(val));

    if (sz(val) != sz(need))
        out();

    for (int i = 0; i < sz(val); i++) {
        ans[need[i]] = val[i];
    }

    for (int i = 0; i < n; i++) {
        if (ans[i] < get(1, 0, n - 1, i)) {
            out();
        }
    }

    for (int i = 0; i < n; i++)
        cout << ans[i] << " ";

    cout << '\n';

    return 0;
}

• Subtask 1: 23 / 23
• Subtask 2: 44 / 44
• Subtask 3: 33 / 33