結果

問題 No.2732 Similar Permutations
ユーザー だれだれ
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 76 ms / 2,000 ms
コード長 8,282 bytes
コンパイル時間 4,730 ms
コンパイル使用メモリ 246,148 KB
実行使用メモリ 11,168 KB
最終ジャッジ日時 2024-10-11 16:33:24
合計ジャッジ時間 20,564 ms
ジャッジサーバーID
(参考情報)
judge3 / judge1
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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
5,248 KB
testcase_01 AC 2 ms
5,248 KB
testcase_02 AC 22 ms
5,548 KB
testcase_03 AC 41 ms
7,488 KB
testcase_04 AC 14 ms
5,248 KB
testcase_05 AC 11 ms
5,248 KB
testcase_06 AC 5 ms
5,248 KB
testcase_07 AC 30 ms
6,424 KB
testcase_08 AC 16 ms
5,248 KB
testcase_09 AC 8 ms
5,248 KB
testcase_10 AC 74 ms
11,088 KB
testcase_11 AC 7 ms
5,248 KB
testcase_12 AC 75 ms
11,040 KB
testcase_13 AC 76 ms
11,096 KB
testcase_14 AC 76 ms
11,048 KB
testcase_15 AC 75 ms
11,048 KB
testcase_16 AC 52 ms
8,248 KB
testcase_17 AC 51 ms
8,324 KB
testcase_18 AC 70 ms
10,660 KB
testcase_19 AC 75 ms
11,044 KB
testcase_20 AC 75 ms
10,996 KB
testcase_21 AC 76 ms
11,048 KB
testcase_22 AC 41 ms
7,472 KB
testcase_23 AC 74 ms
11,044 KB
testcase_24 AC 42 ms
7,556 KB
testcase_25 AC 73 ms
11,040 KB
testcase_26 AC 59 ms
9,988 KB
testcase_27 AC 72 ms
10,916 KB
testcase_28 AC 55 ms
8,820 KB
testcase_29 AC 70 ms
11,040 KB
testcase_30 AC 49 ms
8,344 KB
testcase_31 AC 69 ms
11,044 KB
testcase_32 AC 64 ms
10,804 KB
testcase_33 AC 69 ms
11,044 KB
testcase_34 AC 43 ms
8,032 KB
testcase_35 AC 68 ms
11,044 KB
testcase_36 AC 63 ms
10,676 KB
testcase_37 AC 67 ms
11,028 KB
testcase_38 AC 57 ms
10,240 KB
testcase_39 AC 65 ms
10,916 KB
testcase_40 AC 53 ms
10,132 KB
testcase_41 AC 63 ms
10,916 KB
testcase_42 AC 47 ms
8,584 KB
testcase_43 AC 62 ms
11,044 KB
testcase_44 AC 31 ms
7,240 KB
testcase_45 AC 62 ms
11,168 KB
testcase_46 AC 55 ms
10,484 KB
testcase_47 AC 59 ms
10,920 KB
testcase_48 AC 35 ms
7,780 KB
testcase_49 AC 58 ms
11,044 KB
testcase_50 AC 34 ms
7,748 KB
testcase_51 AC 55 ms
11,040 KB
testcase_52 AC 47 ms
10,196 KB
testcase_53 AC 75 ms
11,044 KB
testcase_54 AC 75 ms
10,896 KB
testcase_55 AC 75 ms
11,040 KB
testcase_56 AC 75 ms
11,020 KB
testcase_57 AC 38 ms
7,240 KB
testcase_58 AC 51 ms
8,304 KB
testcase_59 AC 48 ms
7,936 KB
testcase_60 AC 41 ms
7,492 KB
testcase_61 AC 37 ms
7,184 KB
testcase_62 AC 61 ms
9,096 KB
testcase_63 AC 2 ms
5,248 KB
testcase_64 AC 2 ms
5,248 KB
testcase_65 AC 2 ms
5,248 KB
testcase_66 AC 2 ms
5,248 KB
testcase_67 AC 2 ms
5,248 KB
testcase_68 AC 2 ms
5,248 KB
testcase_69 AC 2 ms
5,248 KB
testcase_70 AC 2 ms
5,248 KB
testcase_71 AC 2 ms
5,248 KB
testcase_72 AC 2 ms
5,248 KB
testcase_73 AC 2 ms
5,248 KB
testcase_74 AC 2 ms
5,248 KB
testcase_75 AC 2 ms
5,248 KB
testcase_76 AC 2 ms
5,248 KB
testcase_77 AC 2 ms
5,248 KB
testcase_78 AC 2 ms
5,248 KB
testcase_79 AC 2 ms
5,248 KB
testcase_80 AC 2 ms
5,248 KB
testcase_81 AC 2 ms
5,248 KB
testcase_82 AC 2 ms
5,248 KB
testcase_83 AC 2 ms
5,248 KB
testcase_84 AC 2 ms
5,248 KB
testcase_85 AC 2 ms
5,248 KB
testcase_86 AC 2 ms
5,248 KB
testcase_87 AC 2 ms
5,248 KB
testcase_88 AC 2 ms
5,248 KB
testcase_89 AC 2 ms
5,248 KB
testcase_90 AC 2 ms
5,248 KB
testcase_91 AC 2 ms
5,248 KB
testcase_92 AC 2 ms
5,248 KB
testcase_93 AC 2 ms
5,248 KB
testcase_94 AC 3 ms
5,248 KB
testcase_95 AC 2 ms
5,248 KB
testcase_96 AC 2 ms
5,248 KB
testcase_97 AC 2 ms
5,248 KB
testcase_98 AC 2 ms
5,248 KB
testcase_99 AC 2 ms
5,248 KB
testcase_100 AC 2 ms
5,248 KB
testcase_101 AC 2 ms
5,248 KB
testcase_102 AC 2 ms
5,248 KB
権限があれば一括ダウンロードができます

ソースコード

diff #

#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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