結果

問題 No.1306 Exactly 2 Digits
コンテスト
ユーザー hitonanode
提出日時 2020-12-03 01:27:28
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 262 ms / 2,000 ms
コード長 6,136 bytes
コンパイル時間 3,294 ms
コンパイル使用メモリ 215,040 KB
最終ジャッジ日時 2025-01-16 13:56:26
ジャッジサーバーID
（参考情報） 		judge3 / judge2
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ファイルパターン 結果
other AC * 123
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 <bits/stdc++.h>
using namespace std;
using lint = long long;
using pint = pair<int, int>;
using plint = pair<lint, lint>;
struct fast_ios { fast_ios(){ cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(20); }; } fast_ios_;
#define ALL(x) (x).begin(), (x).end()
#define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i<i##_end_;i++)
#define IFOR(i, begin, end) for(int i=(end)-1,i##_begin_=(begin);i>=i##_begin_;i--)
#define REP(i, n) FOR(i,0,n)
#define IREP(i, n) IFOR(i,0,n)
template <typename T, typename V>
void ndarray(vector<T>& vec, const V& val, int len) { vec.assign(len, val); }
template <typename T, typename V, typename... Args> void ndarray(vector<T>& vec, const V& val, int len, Args... args) { vec.resize(len), for_each(begin(vec), end(vec), [&](T& v) { ndarray(v, val, args...); }); }
template <typename T> bool chmax(T &m, const T q) { if (m < q) {m = q; return true;} else return false; }
template <typename T> bool chmin(T &m, const T q) { if (m > q) {m = q; return true;} else return false; }
int floor_lg(long long x) { return x <= 0 ? -1 : 63 - __builtin_clzll(x); }
template <typename T1, typename T2> pair<T1, T2> operator+(const pair<T1, T2> &l, const pair<T1, T2> &r) { return make_pair(l.first + r.first, l.second + r.second); }
template <typename T1, typename T2> pair<T1, T2> operator-(const pair<T1, T2> &l, const pair<T1, T2> &r) { return make_pair(l.first - r.first, l.second - r.second); }
template <typename T> vector<T> sort_unique(vector<T> vec) { sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end()); return vec; }
template <typename T> istream &operator>>(istream &is, vector<T> &vec) { for (auto &v : vec) is >> v; return is; }
template <typename T> ostream &operator<<(ostream &os, const vector<T> &vec) { os << '['; for (auto v : vec) os << v << ','; os << ']'; return os; }
#if __cplusplus >= 201703L
template <typename... T> istream &operator>>(istream &is, tuple<T...> &tpl) { std::apply([&is](auto &&... args) { ((is >> args), ...);}, tpl); return is; }
template <typename... T> ostream &operator<<(ostream &os, const tuple<T...> &tpl) { std::apply([&os](auto &&... args) { ((os << args << ','), ...);}, tpl); return os; }
#endif
template <typename T> ostream &operator<<(ostream &os, const deque<T> &vec) { os << "deq["; for (auto v : vec) os << v << ','; os << ']'; return os; }
template <typename T> ostream &operator<<(ostream &os, const set<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <typename T, typename TH> ostream &operator<<(ostream &os, const unordered_set<T, TH> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <typename T> ostream &operator<<(ostream &os, const multiset<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <typename T> ostream &operator<<(ostream &os, const unordered_multiset<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <typename T1, typename T2> ostream &operator<<(ostream &os, const pair<T1, T2> &pa) { os << '(' << pa.first << ',' << pa.second << ')'; return os; }
template <typename TK, typename TV> ostream &operator<<(ostream &os, const map<TK, TV> &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; }
template <typename TK, typename TV, typename TH> ostream &operator<<(ostream &os, const unordered_map<TK, TV, TH> &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; }
#ifdef HITONANODE_LOCAL
#define dbg(x) cerr << #x << " = " << (x) << " (L" << __LINE__ << ") " << __FILE__ << endl
#else
#define dbg(x) {}
#endif

pint query(int i, int j) {
    cout << "? " << i + 1 << ' ' << j + 1 << endl;
    int x, y;
    cin >> x >> y;
    return make_pair(x, y);
}

pint simulate(pint pi, pint pj) {
    pint ret = pi - pj;
    if (ret.first > ret.second) swap(ret.first, ret.second);
    return ret;
}

int main()
{
    int N;
    cin >> N;
    const int L = N * N - N;
    vector<pint> ans(L);
    map<int, int> mp;
    map<pint, vector<int>> p2i;
    mp[0] += 2;
    FOR(i, 1, L) {
        ans[i] = query(i, 0);
        p2i[ans[i]].emplace_back(i);
        if (ans[i].first * ans[i].second == 0) mp[ans[i].first + ans[i].second]++;
    }
    const int lo = mp.begin()->first;
    const int hi = prev(mp.end())->first;
    int lo2 = lo, hi2 = hi;
    while (mp[lo2] == 1) lo2++;
    while (mp[hi2] == 1) hi2--;
    int d1 = hi2 - lo, d2 = hi - lo2;
    vector<pint> ret(L, pint(-1, -1));
    if (hi2 - lo == N - 1 and hi - lo2 == N - 2) {
        ret[0] = make_pair(-lo2 + 1, -lo); // (十, 一)
    } else if (hi2 - lo == N - 2 and hi - lo2 == N - 1) {
        ret[0] = make_pair(-lo + 1, -lo2);
    } else {
        exit(8);
    }

    auto is_valid = [&](pint p) -> bool { return p.first > 0 and p.first < N and p.second >= 0 and p.second < N; };

    vector<int> ics;
    for (const auto [p, is] : p2i) {
        pint pa = p;
        if (is.size() == 1) {
            int i = is[0];
            pint pcand = ret[0] + pa;
            if (is_valid(pcand)) ret[i] = pcand;
            else {
                swap(pa.first, pa.second);
                ret[i] = ret[0] + pa;
            }
            ics.emplace_back(i);
        }
    }

    assert(ics.size() > 0);


    for (const auto [p, is] : p2i) {
        if (is.size() == 2) {
            pint pa = p;
            int i = is[0], j = is[1];

            pint p1 = ret[0] + pa;
            swap(pa.first, pa.second);
            pint p2 = ret[0] + pa;
            for (auto ic : ics) {
                pint psim1 = simulate(p1, ret[ic]);
                pint psim2 = simulate(p2, ret[ic]);
                if (psim1 != psim2) {
                    pint ptmp = query(i, ic);
                    if (psim1 == ptmp) ret[i] = p1, ret[j] = p2;
                    else ret[i] = p2, ret[j] = p1;
                    break;
                }
            }
        }
    }
    cout << "! ";
    for (auto x : ret) cout << x.first * N + x.second << ' ';
    cout << endl;
}
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