Submission #1297122

#TimeUsernameProblemLanguageResultExecution timeMemory
1297122trung_tinRMQ (NOI17_rmq)C++17
23 / 100
20 ms456 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], mark[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 && id < sz(c)) mark[id] = true, res[i] = c[id++];
        }


        for (int i = 1; i <= n; i++) {
            if (f[res[i]] == true) {
                int val = res[i];
                for (int j = 0; j < sz(c); j++) {
                    if (mark[j]) continue;
                    if (c[j] > res[i]) res[i] = c[j], mark[j] = true;
                }

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

            f[res[i]] = true;
        }

        for (int i = 0; i < sz(c); i++) {
            if (mark[i] == false) {
                for (int i = 1; i <= n; i++) cout << -1 << " \n"[i == n];
                return;
            }
        }

        for (int i = 0; i < sz(v); i++) {
            int l = v[i].l, r = v[i].r, x = v[i].x;
            int mi = (int)1e9;
            for (int j = l; j <= r; j++) mi = min(mi, res[j]);
            if (mi != x) {
                for (int i = 1; i <= n; i++) cout << -1 << " \n"[i == n];
                return;
            }
        }

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


}

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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