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Submission #426949

# Submission time Handle Problem Language Result Execution time Memory
426949 2021-06-14T11:06:59 Z snasibov05 RMQ (NOI17_rmq) C++14
100 / 100
 142 ms 12996 KB 
#include <iostream>
#include <vector>
#include <algorithm>
#include <set>
#include <cassert>

using namespace std;

#define oo 1000000000
#define pb push_back
#define pii pair<int, int>
#define f first
#define s second

struct range{
    int l, r;
    int val;
    bool operator<(range r1) const{
        return val < r1.val;
    }
};

struct SegmentTree{
    vector<int> t;
    vector<int> lazy;
    SegmentTree(int n){
        t.resize(n * 4 + 5);
        t.assign(n * 4 + 5, -1);
        lazy.resize(n * 4 + 5);
        lazy.assign(n * 4 + 5, -1);
    }

    void push(int v){
        if (lazy[v] == -1) return;
        int k = lazy[v]; lazy[v] = -1;
        t[v*2] = max(t[v*2], k); lazy[v*2] = max(k, lazy[v*2]);
        t[v*2+1] = max(t[v*2+1], k); lazy[v*2+1] = max(k, lazy[v*2+1]);
    }

    void update(int v, int tl, int tr, int l, int r, int val){
        if (tl == l && tr == r){
            t[v] = max(t[v], val);
            lazy[v] = max(val, lazy[v]);
            return;
        }

        push(v);

        int tm = (tl + tr) / 2;
        if (l <= tm) update(v*2, tl, tm, l, min(r, tm), val);
        if (r > tm) update(v*2+1, tm+1, tr, max(l, tm+1), r, val);
        t[v] = max(t[v*2], t[v*2+1]);
    }

     int getMin(int v, int tl, int tr, int l, int r){
        if (tl == l && tr == r){
            return t[v];
        }

        push(v);

        int tm = (tl + tr) / 2;
        int res = oo;
        if (l <= tm) res = min(res, getMin(v*2, tl, tm, l, min(r, tm)));
        if (r > tm) res = min(res, getMin(v*2+1, tm+1, tr, max(l, tm+1), r));

        return res;
    }
};

int main() {
    int n, q; cin >> n >> q;
    vector<range> v(q);
    for (int i = 0; i < q; ++i) {
        cin >> v[i].l >> v[i].r >> v[i].val;
    }

    sort(v.rbegin(), v.rend());

    vector<int> ans(n, -1);
    vector<int> mn(n, -1);
    vector<pii> arr(n);

    SegmentTree tree(n);

    int k = 0;
    bool flag = true;
    for (int i = n-1; i >= 0; --i) {

        int l = 0, r = n-1;
        int x = n-1, y = 0;

        while (k < q && v[k].val == i){
            l = max(v[k].l, l); x = min(x, v[k].l);
            r = min(v[k].r, r); y = max(y, v[k].r);
            k++;
        }

        if (l > r) flag = false;

        if (x <= y) tree.update(1, 0, n-1, x, y, i);
        arr[i] = {l, r};
    }

    vector<vector<int>> a(n);
    set<int> st;
    for (int i = 0; i < n; ++i) {
        int x = tree.getMin(1, 0, n-1, i, i);

        if (x == -1) st.insert(i);
        else a[x].pb(i);
    }

    for (int i = 0; i < n && flag; ++i) {
        for (auto x : a[i]) st.insert(x);
        auto it = st.lower_bound(arr[i].f);
        if (it == st.end()){
            flag = false;
            break;
        }
        int pos = *it;
        if (pos > arr[i].s){
            flag = false;
            break;
        }
        st.erase(pos);
        ans[pos] = i;
    }

    if (flag) for (auto x : ans) cout << x << " ";
    else for (int i = 0; i < n; ++i) cout << "-1 ";

    return 0;
}

Subtask #1
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 292 KB Output is correct

Subtask #2
44.0 / 44.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 292 KB Output is correct
12 Correct 2 ms 332 KB Output is correct
13 Correct 2 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 2 ms 332 KB Output is correct
16 Correct 2 ms 332 KB Output is correct
17 Correct 2 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 1 ms 332 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 1 ms 292 KB Output is correct
24 Correct 2 ms 312 KB Output is correct
25 Correct 1 ms 204 KB Output is correct
26 Correct 1 ms 204 KB Output is correct

Subtask #3
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 292 KB Output is correct
12 Correct 2 ms 332 KB Output is correct
13 Correct 2 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 2 ms 332 KB Output is correct
16 Correct 2 ms 332 KB Output is correct
17 Correct 2 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 1 ms 332 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 1 ms 292 KB Output is correct
24 Correct 2 ms 312 KB Output is correct
25 Correct 1 ms 204 KB Output is correct
26 Correct 1 ms 204 KB Output is correct
27 Correct 140 ms 11304 KB Output is correct
28 Correct 119 ms 12324 KB Output is correct
29 Correct 97 ms 11632 KB Output is correct
30 Correct 125 ms 12996 KB Output is correct
31 Correct 102 ms 10112 KB Output is correct
32 Correct 112 ms 10048 KB Output is correct
33 Correct 51 ms 10560 KB Output is correct
34 Correct 37 ms 7300 KB Output is correct
35 Correct 61 ms 12356 KB Output is correct
36 Correct 109 ms 9096 KB Output is correct
37 Correct 142 ms 9396 KB Output is correct
38 Correct 20 ms 5492 KB Output is correct
39 Correct 90 ms 8752 KB Output is correct
40 Correct 1 ms 204 KB Output is correct
41 Correct 1 ms 204 KB Output is correct