#1190942 (C++17) No.1900 Don't be Powers of 2

• 問題: No.1900 Don't be Powers of 2
• ユーザー: 👑 AngrySadEight
• 提出日時: 2026-10-02 01:46:39
• 言語: C++17 (gcc 15.3.0 + boost 1.92.0 + ACL)
• 結果: AC
• 実行時間: 46 ms / 2,000 ms
• コード長: 4,376 bytes
• コンパイル時間: 2,889 ms
• コンパイル使用メモリ: 230,616 KB
• 実行使用メモリ: 9,868 KB
• 最終ジャッジ日時: 2026-10-02 01:46:46
• 合計ジャッジ時間: 6,350 ms
• ジャッジサーバーID （参考情報）: judge3_0 / judge4_1

ファイルパターン	結果
sample	AC * 3
other	AC * 42

ソースコード

#include <algorithm>
#include <atcoder/all>
#include <bitset>
#include <cassert>
#include <cmath>
#include <ctime>
#include <functional>
#include <iomanip>
#include <iostream>
#include <map>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <string>
#include <tuple>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
using namespace std;
using namespace atcoder;
typedef long long ll;
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--)
#define repk(i, k, n) for (int i = k; i < (int)(n); i++)
#define all(v) v.begin(), v.end()
#define mod1 1000000007
#define mod2 998244353
#define mod3 100000007
#define vi vector<int>
#define vs vector<string>
#define vc vector<char>
#define vl vector<ll>
#define vb vector<bool>
#define vvi vector<vector<int>>
#define vvc vector<vector<char>>
#define vvl vector<vector<ll>>
#define vvb vector<vector<bool>>
#define vvvi vector<vector<vector<int>>>
#define vvvl vector<vector<vector<ll>>>
#define pii pair<int, int>
#define pil pair<int, ll>
#define pli pair<ll, int>
#define pll pair<ll, ll>
#define vpii vector<pair<int, int>>
#define vpll vector<pair<ll, ll>>
#define vvpii vector<vector<pair<int, int>>>
#define vvpll vector<vector<pair<ll, ll>>>

template <typename T>
void debug(T e) {
    cerr << e << endl;
}

template <typename T>
void debug(vector<T> &v) {
    rep(i, v.size()) { cerr << v[i] << " "; }
    cerr << endl;
}

template <typename T>
void debug(vector<vector<T>> &v) {
    rep(i, v.size()) {
        rep(j, v[i].size()) { cerr << v[i][j] << " "; }
        cerr << endl;
    }
}

template <typename T>
void debug(vector<pair<T, T>> &v) {
    rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; }
}

template <typename T>
void debug(set<T> &st) {
    for (auto itr = st.begin(); itr != st.end(); itr++) {
        cerr << *itr << " ";
    }
    cerr << endl;
}

template <typename T>
void debug(multiset<T> &ms) {
    for (auto itr = ms.begin(); itr != ms.end(); itr++) {
        cerr << *itr << " ";
    }
    cerr << endl;
}

template <typename T>
void debug(map<T, T> &mp) {
    for (auto itr = mp.begin(); itr != mp.end(); itr++) {
        cerr << itr->first << " " << itr->second << endl;
    }
}

void debug_out() { cerr << endl; }

template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {
    cerr << H << " ";
    debug_out(T...);
}

using mint = modint998244353;

void debug_mint1(vector<mint> &vec) {
    for (int i = 0; i < vec.size(); i++) {
        cerr << vec[i].val() << " ";
    }
    cerr << endl;
}

void debug_mint2(vector<vector<mint>> &vec) {
    for (int i = 0; i < vec.size(); i++) {
        for (int j = 0; j < vec[i].size(); j++) {
            cerr << vec[i][j].val() << " ";
        }
        cerr << endl;
    }
}

int main() {
    ll N;
    cin >> N;
    vector<ll> A(N);
    rep(i, N){
        cin >> A[i];
    }
    map<ll, ll> mp;
    rep(i, N){
        mp[A[i]]++;
    }
    ll now = 0;
    vector<ll> vec;
    for (auto it = mp.begin(); it != mp.end(); it++){
        now++;
        vec.push_back(it->first);
    }
    vector<ll> popcnt(now, 0);
    rep(i, now){
        for (ll j = 0; j < 30; j++){
            if ((vec[i] >> j) & 1){
                popcnt[i]++;
            }
        }
    }
    ll INF = 1000000000023LL;
    ll offset = 0;
    mf_graph<ll> graph(now + 2);
    for (ll i = 0; i < now; i++){
        ll cnt = mp[vec[i]];
        if (popcnt[i] % 2 == 0){
            graph.add_edge(now, i, cnt);
            graph.add_edge(i, now + 1, 0);
        }
        else{
            graph.add_edge(now, i, 0);
            graph.add_edge(i, now + 1, cnt);
        }
        offset += cnt;
    }
    for (ll i = 0; i < now; i++){
        for (ll j = i + 1; j < now; j++){
            ll v = vec[i] ^ vec[j];
            bool pow_2 = false;
            rep(k, 30){
                if (v == (1 << k)){
                    pow_2 = true;
                }
            }
            if (pow_2){
                if (popcnt[i] % 2 == 0){
                    graph.add_edge(i, j, INF);
                }
                else{
                    graph.add_edge(j, i, INF);
                }
            }
        }
    }
    ll fl = graph.flow(now, now + 1);
    // debug_out(offset, fl);
    cout << offset - fl << endl;
}