Submission #737223

#	Time	Username	Problem	Language	Result	Execution time	Memory
737223		Olympia	Zoltan (COCI16_zoltan)	C++17	91 / 140	674 ms	40252 KiB

zoltan

#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 SegmentTree {
    vector<pair<int,int64_t>> vec;
    pair<int,int64_t> id = make_pair(-1, 1);
    pair<int,int64_t> merge (pair<int,int64_t> left, pair<int,int64_t> right) {
        if (left.first == -1) return right;
        if (right.first == -1) return left;
        if (left.first > right.first) return left;
        if (left.first < right.first) return right;
        left.second += right.second;
        left.second %= MOD;
        return left;
    }   
    pair<int,int64_t> 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));
    }
    pair<int,int64_t> query (int l, int r) {
        return query(0, 0, (int)vec.size()/2 - 1, l, r);
    }
    void update (int dum, pair<int,int64_t> 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);
    }
};
SegmentTree st = SegmentTree(1);
vector<pair<int,int64_t>> lis (vector<int>& v) {
    st.vec.assign(st.vec.size(), st.id);
    map<int,vector<int>> oc;
    for (int i = 0; i < v.size(); i++) {
        oc[-v[i]].push_back(i);
    }
    vector<pair<int,int64_t>> vec;
    vec.push_back(make_pair(0, 1));
    int used = pow(2, v.size() - 1);
    for (auto& p: oc) {
        vector<pair<int,int64_t>> upd;
        for (int i: p.second) {
            pair<int,int64_t> node = st.query(i + 1, (int)v.size() - 1);
            if (node.first == -1) {
                node = make_pair(1, 1);
            } else {
                node.first += 1;
            }
            upd.push_back(node);
        }
        reverse(upd.begin(), upd.end());
        for (int i: p.second) {
            st.update(i, upd.back()), upd.pop_back();
        }
        pair<int,int64_t> g = st.id;
        for (int i: p.second) {
            g = st.merge(g, st.query(i, i));
        }
        vec.emplace_back(g);
    }
    return vec;
}
vector<pair<int,int64_t>> lds (vector<int>& v) {
    for (int i = 0; i < st.vec.size(); i++) {
        st.vec[i] = st.id;
    }
    map<int,vector<int>> oc;
    for (int i = 0; i < v.size(); i++) {
        oc[v[i]].push_back(i);
    }
    vector<pair<int,int64_t>> vec;
    vec.push_back(make_pair(0, 1));
    for (auto& p: oc) {
        vector<pair<int,int64_t>> upd;
        for (int i: p.second) {
            pair<int,int64_t> node = st.query(i + 1, (int)v.size() - 1);
            if (node.first == -1) {
                node = make_pair(1, 1);
            } else {
                node.first += 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;
    st = SegmentTree(n);
    vector<int> v(n);
    for (int i = 0; i < n; i++) {
        cin >> v[i];
    }
    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].first + a2[i].first > mx) {
            mx = a1[i].first + a2[i].first;
            cnt = (a1[i].second * a2[i].second) % MOD;
            cnt %= MOD;
        } else if (a1[i].first + a2[i].first == mx) {
            cnt += (a1[i].second * a2[i].second) % 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)/2 % MOD;   
    cout << mx << " " << cnt;
}

Compilation message (stderr)

zoltan.cpp: In function 'std::vector<std::pair<int, long int> > lis(std::vector<int>&)':
zoltan.cpp:56:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   56 |     for (int i = 0; i < v.size(); i++) {
      |                     ~~^~~~~~~~~~
zoltan.cpp:61:9: warning: unused variable 'used' [-Wunused-variable]
   61 |     int used = pow(2, v.size() - 1);
      |         ^~~~
zoltan.cpp: In function 'std::vector<std::pair<int, long int> > lds(std::vector<int>&)':
zoltan.cpp:86:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   86 |     for (int i = 0; i < st.vec.size(); i++) {
      |                     ~~^~~~~~~~~~~~~~~
zoltan.cpp:90:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   90 |     for (int i = 0; i < v.size(); i++) {
      |                     ~~^~~~~~~~~~
zoltan.cpp: In function 'int main()':
zoltan.cpp:128:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  128 |     for (int i = 0; i < a1.size(); i++) {
      |                     ~~^~~~~~~~~~~

• Subtask 1: 91 / 140