Submission #737217

# Submission time Handle Problem Language Result Execution time Memory
737217 2023-05-06T23:55:27 Z Olympia Zoltan (COCI16_zoltan) C++17
42 / 140
775 ms 41380 KB
#include <iostream>
#include <set>
#include <cmath>
#include <queue>
#include <vector>
#include <cstdlib>
#include <ctime>
#include <cmath>
#include <algorithm>
#include <cassert>
#include <map>
#include <deque>
using namespace std;
const int MOD = 1e9 + 7;
struct Node {
    int mx = 0;
    int64_t cnt = 0; 
    Node (int mx, int cnt) {
        this->mx = mx, this->cnt = cnt;
    }
};
struct SegmentTree {
    vector<Node> vec;
    Node id = Node(-1, 1);
    Node merge (Node left, Node right) {
        if (left.mx == -1) return right;
        if (right.mx == -1) return left;
        if (left.mx > right.mx) return left;
        if (left.mx < right.mx) return right;
        left.cnt += right.cnt;
        left.cnt %= MOD;
        return left;
    }   
    Node query (int dum, int tl, int tr, int l, int r) {
        if (tl >= l and tr <= r) {
            return vec[dum];
        } 
        if (r < tl or tr < l) {
            return id;
        }
        return merge(query(2 * dum + 1, tl, (tl + tr)/2, l, r), query(2 * dum + 2, (tl + tr)/2 + 1, tr, l, r));
    }
    Node query (int l, int r) {
        return query(0, 0, (int)vec.size()/2 - 1, l, r);
    }
    void update (int dum, Node node) {
        dum += (int)vec.size()/2 - 1;
        vec[dum] = node;
        while (dum != 0) {
            dum = (dum - 1)/2;
            vec[dum] = merge(vec[2 * dum + 1], vec[2 * dum + 2]);
        }
    }
    SegmentTree (int n) {
        n = (1 << (int)log2(n)) * 2;
        vec.assign(2 * n, id);
    }
};
vector<Node> lis (vector<int>& v) {
    SegmentTree st(v.size());
    map<int,vector<int>> oc;
    for (int i = 0; i < v.size(); i++) {
        oc[-v[i]].push_back(i);
    }
    vector<Node> vec;
    vec.push_back(Node(0, 1));
    int used = pow(2, v.size() - 1);
    for (auto& p: oc) {
        vector<Node> upd;
        for (int i: p.second) {
            Node node = st.query(i + 1, (int)v.size() - 1);
            if (node.mx == -1) {
                node = Node(1, 1);
            } else {
                node.mx += 1;
            }
            upd.push_back(node);
        }
        reverse(upd.begin(), upd.end());
        for (int i: p.second) {
            st.update(i, upd.back()), upd.pop_back();
        }
        Node g = st.id;
        for (int i: p.second) {
            g = st.merge(g, st.query(i, i));
        }
        vec.emplace_back(g);
    }
    return vec;
}
vector<Node> lds (vector<int>& v) {
    SegmentTree st(v.size());
    map<int,vector<int>> oc;
    for (int i = 0; i < v.size(); i++) {
        oc[v[i]].push_back(i);
    }
    vector<Node> vec;
    vec.push_back(Node(0, 1));
    for (auto& p: oc) {
        vector<Node> upd;
        for (int i: p.second) {
            Node node = st.query(i + 1, (int)v.size() - 1);
            if (node.mx == -1) {
                node = Node(1, 1);
            } else {
                node.mx += 1;
            }
            upd.push_back(node);
        }
        reverse(upd.begin(), upd.end());
        for (int i: p.second) {
            st.update(i, upd.back()), upd.pop_back();
        }
        vec.emplace_back(st.query(0, (int)v.size() - 1));
    }
    reverse(vec.begin(), vec.end());
    return vec;
}
int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    int n;
    cin >> n;
    vector<int> v(n);
    for (int i = 0; i < n; i++) {
        cin >> v[i];
    }
    //reverse(v.begin(), v.end());
    auto a1 = lds(v);
    auto a2 = lis(v);
    int64_t mx = 0, cnt = 0;
    for (int i = 0; i < a1.size(); i++) {
        if (a1[i].mx + a2[i].mx > mx) {
            mx = a1[i].mx + a2[i].mx;
            cnt = (a1[i].cnt * a2[i].cnt) % MOD;
            cnt %= MOD;
        } else if (a1[i].mx + a2[i].mx == mx) {
            cnt += (a1[i].cnt * a2[i].cnt) % MOD;
            cnt %= MOD;
        }
    }
    for (int i = 0; i < n - mx; i++) {
        cnt *= 2;
        cnt %= MOD;
    }
    if (cnt % 2 == 0) cnt /= 2;
    else cnt = (cnt + MOD - 1)/2 % MOD;   
    cout << mx << " " << cnt;
}

Compilation message

zoltan.cpp: In function 'std::vector<Node> lis(std::vector<int>&)':
zoltan.cpp:62:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   62 |     for (int i = 0; i < v.size(); i++) {
      |                     ~~^~~~~~~~~~
zoltan.cpp:67:9: warning: unused variable 'used' [-Wunused-variable]
   67 |     int used = pow(2, v.size() - 1);
      |         ^~~~
zoltan.cpp: In function 'std::vector<Node> lds(std::vector<int>&)':
zoltan.cpp:94:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   94 |     for (int i = 0; i < v.size(); i++) {
      |                     ~~^~~~~~~~~~
zoltan.cpp: In function 'int main()':
zoltan.cpp:132:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<Node>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  132 |     for (int i = 0; i < a1.size(); i++) {
      |                     ~~^~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Incorrect 2 ms 468 KB Output isn't correct
8 Incorrect 2 ms 468 KB Output isn't correct
9 Incorrect 2 ms 468 KB Output isn't correct
10 Incorrect 2 ms 468 KB Output isn't correct
11 Runtime error 382 ms 35504 KB Memory limit exceeded
12 Incorrect 329 ms 32428 KB Output isn't correct
13 Incorrect 297 ms 25132 KB Output isn't correct
14 Runtime error 449 ms 32816 KB Memory limit exceeded
15 Runtime error 644 ms 37452 KB Memory limit exceeded
16 Runtime error 775 ms 41380 KB Memory limit exceeded
17 Runtime error 480 ms 36960 KB Memory limit exceeded
18 Runtime error 478 ms 36888 KB Memory limit exceeded
19 Runtime error 454 ms 37216 KB Memory limit exceeded
20 Runtime error 468 ms 36900 KB Memory limit exceeded