Submission #1297109

#TimeUsernameProblemLanguageResultExecution timeMemory
1297109trung_tinRMQ (NOI17_rmq)C++17
23 / 100
19 ms448 KiB
#include<bits/stdc++.h>
using namespace std;


typedef long long ll;
typedef pair<int, int> ii;
#define fi first
#define se second
#define all(x) x.begin(), x.end()
#define sz(x) (int)(x.size())
#define MASK(i) (1ll << i)


const int N = 1e5 + 5;


int n, q, res[N];
bool b[N], f[N];

struct Qe {
    int l, r, x;
}qry[N];


namespace sub1 {
    bool check() {
        return (n <= 10);
    }

    void solve() {
        vector<int> v(n);
        for (int i = 0; i < n; i++) v[i] = i;

        do {
            bool check = true;
            for (int i = 1; i <= q; i++) {
                int l = qry[i].l, r = qry[i].r, x = qry[i].x;

                int mi = (int)1e9;
                for (int j = l - 1; j < r; j++) {
                    mi = min(mi, v[j]);
                }

                if (mi != x) {
                    check = false;
                    break;
                }
            }

            if (check) {
                for (int i = 0; i < n; i++) cout << v[i] << " \n"[i == n - 1];
                return;
            }
        }
        while (next_permutation(all(v)));

        for (int i = 1; i <= n; i++) cout << -1 << " \n"[i == n];
    }
}

namespace sub2 {
    bool check() {
        return (n <= 1000 && q <= 1000);
    }

    bool b[N], f[N];
    void solve() {
        sort(qry + 1, qry + q + 1, [](Qe a, Qe b) { return a.x > b.x; });

        vector<Qe> v;
        for (int i = 1; i <= q; i++) {
            int l = qry[i].l, r = qry[i].r, x = qry[i].x;
            int cur = sz(v);

            int k = l, h = l;
            while (k <= r) {
                while (b[k]) k++;

                h = max(h, k);
                while (h <= r && !b[h]) h++;
                v.push_back({k, h - 1, x});
                k = h;
            }

            if (sz(v) == cur) {
                for (int i = 1; i <= n; i++) cout << -1 << " \n"[i == n];
                return;
            }

            for (int j = l; j <= r; j++) b[j] = true;
        }

        for (int i = 1; i <= n; i++) res[i] = -1;
        for (int i = 0; i < sz(v); i++) {
            int l = v[i].l, r = v[i].r, x = v[i].x;

            for (int j = l; j <= r; j++) res[j] = x;
            f[x] = true;
        }

        vector<int> c;
        for (int i = 0; i < n; i++) {
            if (!f[i]) {
                c.push_back(i);
            }
            f[i] = false;
        }

        int id = 0;
        for (int i = 1; i <= n; i++) {
            if (res[i] == -1) res[i] = c[id++];
        }

        for (int i = 1; i <= n; i++) {
            if (f[res[i]] == true) {
                if (c[id] > res[i]) res[i] = c[id++];
                else {
                    for (int i = 1; i <= n; i++) cout << -1 << " \n"[i == n];
                    return;
                }
            }

            f[res[i]] = true;
        }


        for (int i = 1; i <= n; i++) cout << res[i] << " \n"[i == n];
    }
}

namespace sub3 {
    int lab[N], mx[N];

    void make_set() {
        for (int i = 1; i <= n; i++) lab[i] = -1, mx[i] = i;
    }

    int find_(int u) { return lab[u] < 0 ? u : lab[u] = find_(lab[u]); }

    void unite(int a, int b) {
        a = find_(a), b = find_(b);

        if (a == b) return;
        if (lab[a] > lab[b]) swap(a, b);
        mx[a] = max(mx[a], mx[b]);
        lab[a] += lab[b];
        lab[b] = a;
    }

    bool f[N];
    void solve() {
        sort(qry + 1, qry + q + 1, [](Qe a, Qe b) { return a.x > b.x; });

        vector<Qe> v;
        make_set();
        for (int i = 1; i <= q; i++) {
            int l = qry[i].l, r = qry[i].r, x = qry[i].x;
            int cur = sz(v);

            int k = l, h = l;
            while (k <= r) {
                int par = find_(k);
                if (mx[par] != k) k = mx[par] + 1;

                h = max(h, k);
                if (h > r) break;
                while (h <= r) {
                    int par = find_(h);
                    if (mx[par] == h) {
                        if (h - 1 >= l) unite(h, h - 1);
                        h++;
                    }
                    else break;
                }

                if (cur == sz(v)) {
                    for (int i = 1; i <= n; i++) cout << -1 << " \n"[i == n];
                    return;
                }
                v.push_back({k, h - 1, x});
            }
        }

        for (int i = 1; i <= n; i++) res[i] = -1;
        for (int i = 0; i < sz(v); i++) {
            int l = v[i].l, r = v[i].r, x = v[i].x;

            for (int j = l; j <= r; j++) res[j] = x;
            f[x] = true;
        }

        vector<int> c;
        for (int i = 0; i < n; i++) {
            if (!f[i]) {
                c.push_back(i);
            }
            f[i] = false;
        }

        int id = 0;
        for (int i = 1; i <= n; i++) {
            if (res[i] == -1) res[i] = c[id++];
        }

        for (int i = 1; i <= n; i++) {
            if (f[res[i]] == true) {
                if (c[id] > res[i]) res[i] = c[id++];
                else {
                    for (int i = 1; i <= n; i++) cout << -1 << " \n"[i == n];
                    return;
                }
            }

            f[res[i]] = true;
        }


        for (int i = 1; i <= n; i++) cout << res[i] << " \n"[i == n];
    }
}


void solve() {
    cin >> n >> q;
    for (int i = 1; i <= q; i++) {
        int l, r, val; cin >> l >> r >> val;
        l++, r++;
        qry[i] = {l, r, val};
    }

//    sub1::solve();
//    sub2::solve();
//    sub3::solve(); return;
    if (sub1::check()) {
        sub1::solve(); return;
    }
    else if (sub2::check()) {
        sub2::solve(); return;
    }
    else {
        sub3::solve();
    }

}

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

//    #define TASK "chonqua"
//    freopen(TASK".inp", "r", stdin);
//    freopen(TASK".out", "w", stdout);

    int T = 1;
//    cin >> T;
    while (T--) {
        solve();
    }
}
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