#974351 (C++23) No.2732 Similar Permutations

提出ソース

結果

問題	No.2732 Similar Permutations
ユーザー	だれ
提出日時	2024-04-19 22:44:28
言語	C++23 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	73 ms / 2,000 ms
コード長	8,282 bytes
コンパイル時間	4,520 ms
コンパイル使用メモリ	242,128 KB
実行使用メモリ	11,812 KB
最終ジャッジ日時	2024-04-19 22:44:56
合計ジャッジ時間	19,072 ms
ジャッジサーバーID （参考情報）	judge3 / judge1

このコードへのチャレンジ
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テストケース

テストケース表示

入力	結果	実行時間実行使用メモリ
testcase_00	AC	2 ms 6,812 KB
testcase_01	AC	2 ms 6,816 KB
testcase_02	AC	23 ms 6,940 KB
testcase_03	AC	39 ms 7,576 KB
testcase_04	AC	12 ms 6,944 KB
testcase_05	AC	11 ms 6,940 KB
testcase_06	AC	6 ms 6,940 KB
testcase_07	AC	29 ms 6,940 KB
testcase_08	AC	15 ms 6,940 KB
testcase_09	AC	8 ms 6,940 KB
testcase_10	AC	73 ms 10,960 KB
testcase_11	AC	6 ms 6,940 KB
testcase_12	AC	71 ms 11,040 KB
testcase_13	AC	71 ms 11,040 KB
testcase_14	AC	71 ms 11,168 KB
testcase_15	AC	72 ms 11,044 KB
testcase_16	AC	47 ms 8,372 KB
testcase_17	AC	51 ms 8,448 KB
testcase_18	AC	64 ms 10,532 KB
testcase_19	AC	71 ms 11,040 KB
testcase_20	AC	70 ms 10,992 KB
testcase_21	AC	73 ms 10,908 KB
testcase_22	AC	39 ms 7,504 KB
testcase_23	AC	70 ms 11,812 KB
testcase_24	AC	38 ms 7,552 KB
testcase_25	AC	67 ms 11,164 KB
testcase_26	AC	53 ms 9,988 KB
testcase_27	AC	66 ms 11,168 KB
testcase_28	AC	50 ms 8,820 KB
testcase_29	AC	64 ms 11,040 KB
testcase_30	AC	44 ms 8,464 KB
testcase_31	AC	65 ms 11,044 KB
testcase_32	AC	60 ms 10,928 KB
testcase_33	AC	63 ms 11,120 KB
testcase_34	AC	39 ms 8,032 KB
testcase_35	AC	63 ms 11,044 KB
testcase_36	AC	57 ms 10,800 KB
testcase_37	AC	59 ms 10,912 KB
testcase_38	AC	53 ms 10,112 KB
testcase_39	AC	62 ms 11,040 KB
testcase_40	AC	48 ms 10,008 KB
testcase_41	AC	60 ms 11,044 KB
testcase_42	AC	42 ms 8,580 KB
testcase_43	AC	57 ms 11,040 KB
testcase_44	AC	29 ms 7,104 KB
testcase_45	AC	55 ms 11,168 KB
testcase_46	AC	50 ms 10,604 KB
testcase_47	AC	54 ms 11,168 KB
testcase_48	AC	31 ms 7,732 KB
testcase_49	AC	54 ms 11,040 KB
testcase_50	AC	31 ms 7,744 KB
testcase_51	AC	51 ms 11,040 KB
testcase_52	AC	43 ms 10,064 KB
testcase_53	AC	70 ms 11,040 KB
testcase_54	AC	67 ms 11,172 KB
testcase_55	AC	70 ms 11,164 KB
testcase_56	AC	68 ms 11,044 KB
testcase_57	AC	34 ms 7,360 KB
testcase_58	AC	47 ms 8,432 KB
testcase_59	AC	44 ms 8,188 KB
testcase_60	AC	38 ms 7,616 KB
testcase_61	AC	34 ms 7,308 KB
testcase_62	AC	56 ms 9,096 KB
testcase_63	AC	2 ms 6,944 KB
testcase_64	AC	2 ms 6,944 KB
testcase_65	AC	2 ms 6,944 KB
testcase_66	AC	2 ms 6,944 KB
testcase_67	AC	1 ms 6,944 KB
testcase_68	AC	2 ms 6,940 KB
testcase_69	AC	1 ms 6,940 KB
testcase_70	AC	1 ms 6,940 KB
testcase_71	AC	2 ms 6,940 KB
testcase_72	AC	1 ms 6,940 KB
testcase_73	AC	2 ms 6,944 KB
testcase_74	AC	1 ms 6,940 KB
testcase_75	AC	2 ms 6,940 KB
testcase_76	AC	1 ms 6,944 KB
testcase_77	AC	1 ms 6,944 KB
testcase_78	AC	1 ms 6,944 KB
testcase_79	AC	1 ms 6,944 KB
testcase_80	AC	2 ms 6,940 KB
testcase_81	AC	2 ms 6,940 KB
testcase_82	AC	2 ms 6,944 KB
testcase_83	AC	1 ms 6,944 KB
testcase_84	AC	1 ms 6,940 KB
testcase_85	AC	1 ms 6,944 KB
testcase_86	AC	1 ms 6,944 KB
testcase_87	AC	1 ms 6,940 KB
testcase_88	AC	1 ms 6,944 KB
testcase_89	AC	2 ms 6,944 KB
testcase_90	AC	2 ms 6,940 KB
testcase_91	AC	1 ms 6,944 KB
testcase_92	AC	2 ms 6,940 KB
testcase_93	AC	1 ms 6,944 KB
testcase_94	AC	1 ms 6,940 KB
testcase_95	AC	2 ms 6,940 KB
testcase_96	AC	1 ms 6,944 KB
testcase_97	AC	1 ms 6,940 KB
testcase_98	AC	2 ms 6,940 KB
testcase_99	AC	2 ms 6,940 KB
testcase_100	AC	1 ms 6,940 KB
testcase_101	AC	2 ms 6,940 KB
testcase_102	AC	1 ms 6,944 KB

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ソースコード

raw source code

#include <algorithm>
#include <bitset>
#include <cassert>
#include <cmath>
#include <complex>
#include <cstdio>
#include <fstream>
#include <functional>
#include <iomanip>
#include <iostream>
#include <iterator>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <unordered_set>
using namespace std;
#if __has_include(<atcoder/all>)
#include <atcoder/all>
#endif
#define GET_MACRO(_1, _2, _3, NAME, ...) NAME
#define _rep(i, n) _rep2(i, 0, n)
#define _rep2(i, a, b) for (int i = (int)(a); i < (int)(b); i++)
#define rep(...) GET_MACRO(__VA_ARGS__, _rep2, _rep)(__VA_ARGS__)
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define UNIQUE(x)                      \
    std::sort((x).begin(), (x).end()); \
    (x).erase(std::unique((x).begin(), (x).end()), (x).end())
using i64 = long long;
template <class T, class U>
bool chmin(T& a, const U& b) {
    return (b < a) ? (a = b, true) : false;
}
template <class T, class U>
bool chmax(T& a, const U& b) {
    return (b > a) ? (a = b, true) : false;
}
template <class T = std::string, class U = std::string>
inline void YesNo(bool f = 0, const T yes = "Yes", const U no = "No") {
    if (f)
        std::cout << yes << "\n";
    else
        std::cout << no << "\n";
}
namespace io {

template <class T, class U>
istream& operator>>(istream& i, pair<T, U>& p) {
    i >> p.first >> p.second;
    return i;
}

template <typename T>
istream& operator>>(istream& i, vector<T>& v) {
    rep(j, v.size()) i >> v[j];
    return i;
}
template <typename T>
string join(vector<T>& v) {
    stringstream s;
    rep(i, v.size()) s << ' ' << v[i];
    return s.str().substr(1);
}
template <typename T>
ostream& operator<<(ostream& o, vector<T>& v) {
    if (v.size()) o << join(v);
    return o;
}
template <typename T>
string join(vector<vector<T>>& vv) {
    string s = "\n";
    rep(i, vv.size()) s += join(vv[i]) + "\n";
    return s;
}
template <typename T>
ostream& operator<<(ostream& o, vector<vector<T>>& vv) {
    if (vv.size()) o << join(vv);
    return o;
}
template <class T, class U>
ostream& operator<<(ostream& o, pair<T, U>& p) {
    o << p.first << " " << p.second;
    return o;
}

void OUT() { std::cout << "\n"; }

template <class Head, class... Tail>
void OUT(Head&& head, Tail&&... tail) {
    std::cout << head;
    if (sizeof...(tail)) std::cout << ' ';
    OUT(std::forward<Tail>(tail)...);
}

void OUTL() { std::cout << std::endl; }

template <class Head, class... Tail>
void OUTL(Head&& head, Tail&&... tail) {
    std::cout << head;
    if (sizeof...(tail)) std::cout << ' ';
    OUTL(std::forward<Tail>(tail)...);
}

void IN() {}

template <class Head, class... Tail>
void IN(Head&& head, Tail&&... tail) {
    cin >> head;
    IN(std::forward<Tail>(tail)...);
}

}  // namespace io
using namespace io;

namespace useful {
long long modpow(long long a, long long b, long long mod) {
    long long res = 1;
    while (b) {
        if (b & 1) res *= a, res %= mod;
        a *= a;
        a %= mod;
        b >>= 1;
    }
    return res;
}

bool is_pow2(long long x) { return x > 0 && (x & (x - 1)) == 0; }

template <class T>
void rearrange(vector<T>& a, vector<int>& p) {
    vector<T> b = a;
    for (int i = 0; i < int(a.size()); i++) {
        a[i] = b[p[i]];
    }
    return;
}

template <class T>
vector<pair<T, int>> rle_sequence(vector<T>& a) {
    vector<pair<T, int>> res;
    int n = a.size();
    int l = 1;
    rep(i, n - 1) {
        if (a[i] == a[i + 1])
            l++;
        else {
            res.emplace_back(a[i], l);
            l = 1;
        }
    }
    res.emplace_back(a.back(), l);
    return res;
}

vector<pair<char, int>> rle_string(string a) {
    vector<pair<char, int>> res;
    int n = a.size();
    if (n == 1) return vector<pair<char, int>>{{a[0], 1}};
    int l = 1;
    rep(i, n - 1) {
        if (a[i] == a[i + 1])
            l++;
        else {
            res.emplace_back(a[i], l);
            l = 1;
        }
    }
    res.emplace_back(a.back(), l);
    return res;
}

vector<int> linear_sieve(int n) {
    vector<int> primes;
    vector<int> res(n + 1);
    iota(all(res), 0);
    for (int i = 2; i <= n; i++) {
        if (res[i] == i) primes.emplace_back(i);
        for (auto j : primes) {
            if (j * i > n) break;
            res[j * i] = j;
        }
    }
    return res;
    // return primes;
}

template <class T>
vector<long long> dijkstra(vector<vector<pair<int, T>>>& graph, int start) {
    int n = graph.size();
    vector<long long> res(n, 2e18);
    res[start] = 0;
    priority_queue<pair<long long, int>, vector<pair<long long, int>>,
                   greater<pair<long long, int>>>
        que;
    que.push({0, start});
    while (!que.empty()) {
        auto [c, v] = que.top();
        que.pop();
        if (res[v] < c) continue;
        for (auto [nxt, cost] : graph[v]) {
            auto x = c + cost;
            if (x < res[nxt]) {
                res[nxt] = x;
                que.push({x, nxt});
            }
        }
    }
    return res;
}

}  // namespace useful
using namespace useful;

int main() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    clock_t start = clock();
    int n;
    IN(n);
    vector<int> a(n);
    IN(a);
    if (n <= 5) {
        vector<int> p(n), q(n);
        iota(all(p), 1);
        iota(all(q), 1);
        do {
            int tt = 0;
            rep(i, n) tt ^= a[i] + q[i];
            do {
                int ss = 0;
                rep(i, n) ss ^= a[i] + p[i];
                if (ss == tt && p != q) {
                    OUT(p);
                    OUT(q);
                    return 0;
                }
            }
            while (next_permutation(all(p)));
        }
        while (next_permutation(all(q)));
        OUT(-1);
        return 0;
    }
    if (n == 1) {
        OUT(-1);
        return 0;
    }
    vector<int> p(n), q(n);
    vector<int> t(n);
    iota(all(t), 0);
    sort(all(t), [&](int i, int j) { return a[i] < a[j]; });
    rep(i, n - 1) {
        if (a[t[i + 1]] == a[t[i]]) {
            p[t[i]] = 1;
            p[t[i + 1]] = 2;
            q[t[i]] = 2;
            q[t[i + 1]] = 1;
            int s = 3;
            rep(j, n) {
                if (j == i || j == i + 1) continue;
                p[t[j]] = q[t[j]] = s++;
            }
            OUT(p);
            OUT(q);
            return 0;
        }
    }
    rep(i, n - 2) {
        if (a[t[i + 2]] - a[t[i]] < n) {
            int x = 1, y = x + (a[t[i + 1]] - a[t[i]]),
                z = y + (a[t[i + 2]] - a[t[i + 1]]);
            p[t[i]] = z;
            p[t[i + 1]] = x;
            p[t[i + 2]] = y;
            q[t[i]] = y;
            q[t[i + 1]] = z;
            q[t[i + 2]] = x;
            int s = 2;
            rep(j, n) {
                while (s == y || s == z) s++;
                if (p[t[j]] == 0) {
                    p[t[j]] = s;
                    q[t[j]] = s++;
                }
            }
            OUT(p);
            OUT(q);
            return 0;
        }
    }
    vector<int> o, e;
    rep(i, n) {
        if (a[i] & 1) {
            o.push_back(i);
        }
        else {
            e.push_back(i);
        }
    }
    if (o.size() == 1 && e.size() == 1) {
        OUT(-1);
        return 0;
    }
    if (o.size() < e.size()) swap(o, e);
    assert(o.size() >= 2);
    int s = 3;
    rep(i, n) {
        if (i == o[0]) {
            p[i] = 1;
            q[i] = 2;
        }
        else if (i == o[1]) {
            p[i] = 2;
            q[i] = 1;
        }
        else {
            p[i] = s;
            q[i] = s++;
        }
    }
    i64 xx = 0, yy = 0;
    rep(i, n) {
        xx ^= p[i] + a[i];
        yy ^= q[i] + a[i];
    }
    if (xx == yy) {
        OUT(p);
        OUT(q);
        return 0;
    }
    vector<int> per(n);
    iota(all(per), 1);
    map<int, vector<int>> mp;
    do {
        int ss = 0;
        rep(i, n) ss ^= a[i] + per[i];
        if (mp.contains(ss)) {
            OUT(per);
            OUT(mp[ss]);
            return 0;
        }
        if (clock() - start >= 1950000) {
            OUT(-1);
            return 0;
        }
        mp[ss] = per;
    }
    while (next_permutation(all(per)));
}

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結果

テストケース

ソースコード