結果

問題 No.1306 Exactly 2 Digits
ユーザー t33ft33f
提出日時 2020-12-06 13:43:58
言語 C++17
(gcc 13.2.0 + boost 1.83.0)
結果
AC  
実行時間 137 ms / 2,000 ms
コード長 4,941 bytes
コンパイル時間 1,487 ms
コンパイル使用メモリ 122,960 KB
実行使用メモリ 24,384 KB
平均クエリ数 1236.78
最終ジャッジ日時 2023-09-24 09:17:14
合計ジャッジ時間 14,994 ms
ジャッジサーバーID
(参考情報)
judge14 / judge11
このコードへのチャレンジ(β)

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 28 ms
23,376 KB
testcase_01 AC 24 ms
23,388 KB
testcase_02 AC 24 ms
23,748 KB
testcase_03 AC 23 ms
23,532 KB
testcase_04 AC 25 ms
24,252 KB
testcase_05 AC 24 ms
23,796 KB
testcase_06 AC 24 ms
24,120 KB
testcase_07 AC 24 ms
24,240 KB
testcase_08 AC 25 ms
23,292 KB
testcase_09 AC 25 ms
23,520 KB
testcase_10 AC 25 ms
24,276 KB
testcase_11 AC 24 ms
24,216 KB
testcase_12 AC 24 ms
23,256 KB
testcase_13 AC 24 ms
23,544 KB
testcase_14 AC 25 ms
24,276 KB
testcase_15 AC 25 ms
23,508 KB
testcase_16 AC 26 ms
24,228 KB
testcase_17 AC 25 ms
23,664 KB
testcase_18 AC 26 ms
24,204 KB
testcase_19 AC 25 ms
24,252 KB
testcase_20 AC 24 ms
23,292 KB
testcase_21 AC 24 ms
23,388 KB
testcase_22 AC 23 ms
24,228 KB
testcase_23 AC 24 ms
23,352 KB
testcase_24 AC 24 ms
23,892 KB
testcase_25 AC 24 ms
23,652 KB
testcase_26 AC 24 ms
23,292 KB
testcase_27 AC 25 ms
23,112 KB
testcase_28 AC 24 ms
23,652 KB
testcase_29 AC 24 ms
23,604 KB
testcase_30 AC 25 ms
23,904 KB
testcase_31 AC 24 ms
23,412 KB
testcase_32 AC 26 ms
23,508 KB
testcase_33 AC 25 ms
23,292 KB
testcase_34 AC 25 ms
23,532 KB
testcase_35 AC 25 ms
23,640 KB
testcase_36 AC 25 ms
24,240 KB
testcase_37 AC 24 ms
24,012 KB
testcase_38 AC 24 ms
23,520 KB
testcase_39 AC 25 ms
23,508 KB
testcase_40 AC 25 ms
23,244 KB
testcase_41 AC 25 ms
23,532 KB
testcase_42 AC 26 ms
23,388 KB
testcase_43 AC 26 ms
23,916 KB
testcase_44 AC 27 ms
23,424 KB
testcase_45 AC 26 ms
24,228 KB
testcase_46 AC 28 ms
23,244 KB
testcase_47 AC 28 ms
23,256 KB
testcase_48 AC 29 ms
23,292 KB
testcase_49 AC 30 ms
23,628 KB
testcase_50 AC 32 ms
23,796 KB
testcase_51 AC 33 ms
24,240 KB
testcase_52 AC 35 ms
24,216 KB
testcase_53 AC 37 ms
24,240 KB
testcase_54 AC 34 ms
23,784 KB
testcase_55 AC 37 ms
24,228 KB
testcase_56 AC 39 ms
23,532 KB
testcase_57 AC 41 ms
23,892 KB
testcase_58 AC 42 ms
23,652 KB
testcase_59 AC 40 ms
23,496 KB
testcase_60 AC 49 ms
23,832 KB
testcase_61 AC 50 ms
23,628 KB
testcase_62 AC 51 ms
23,904 KB
testcase_63 AC 54 ms
23,400 KB
testcase_64 AC 52 ms
24,024 KB
testcase_65 AC 57 ms
23,712 KB
testcase_66 AC 60 ms
24,360 KB
testcase_67 AC 63 ms
23,808 KB
testcase_68 AC 63 ms
24,228 KB
testcase_69 AC 67 ms
24,240 KB
testcase_70 AC 65 ms
24,000 KB
testcase_71 AC 70 ms
23,724 KB
testcase_72 AC 70 ms
24,036 KB
testcase_73 AC 70 ms
23,700 KB
testcase_74 AC 79 ms
24,288 KB
testcase_75 AC 75 ms
23,256 KB
testcase_76 AC 89 ms
24,240 KB
testcase_77 AC 93 ms
23,640 KB
testcase_78 AC 99 ms
24,264 KB
testcase_79 AC 104 ms
23,412 KB
testcase_80 AC 109 ms
23,652 KB
testcase_81 AC 90 ms
23,280 KB
testcase_82 AC 111 ms
23,412 KB
testcase_83 AC 115 ms
23,904 KB
testcase_84 AC 123 ms
24,000 KB
testcase_85 AC 132 ms
23,508 KB
testcase_86 AC 107 ms
23,532 KB
testcase_87 AC 114 ms
24,336 KB
testcase_88 AC 137 ms
24,384 KB
testcase_89 AC 119 ms
23,796 KB
testcase_90 AC 101 ms
24,228 KB
testcase_91 AC 113 ms
24,204 KB
testcase_92 AC 102 ms
23,784 KB
testcase_93 AC 121 ms
23,916 KB
testcase_94 AC 102 ms
24,228 KB
testcase_95 AC 107 ms
23,712 KB
testcase_96 AC 99 ms
23,304 KB
testcase_97 AC 99 ms
23,532 KB
testcase_98 AC 96 ms
23,364 KB
testcase_99 AC 109 ms
23,292 KB
testcase_100 AC 111 ms
23,904 KB
testcase_101 AC 120 ms
23,916 KB
testcase_102 AC 104 ms
24,216 KB
testcase_103 AC 110 ms
23,892 KB
testcase_104 AC 111 ms
23,508 KB
testcase_105 AC 112 ms
23,496 KB
testcase_106 AC 98 ms
24,228 KB
testcase_107 AC 108 ms
23,364 KB
testcase_108 AC 102 ms
23,796 KB
testcase_109 AC 121 ms
23,532 KB
testcase_110 AC 100 ms
23,412 KB
testcase_111 AC 106 ms
24,000 KB
testcase_112 AC 97 ms
23,268 KB
testcase_113 AC 130 ms
23,496 KB
testcase_114 AC 131 ms
23,640 KB
testcase_115 AC 109 ms
24,372 KB
testcase_116 AC 135 ms
24,276 KB
testcase_117 AC 115 ms
23,292 KB
testcase_118 AC 121 ms
23,652 KB
testcase_119 AC 106 ms
24,024 KB
testcase_120 AC 96 ms
24,024 KB
testcase_121 AC 116 ms
23,700 KB
testcase_122 AC 112 ms
24,204 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 <numeric>
#include <random>
#include <map>
#include <algorithm>
#include <cassert>
#include <vector>
#include <iostream>
using namespace std;

bool interactive = true;

pair<int, int> diff(int x, int y, int n) {
    int p = x / n - y / n, q = x % n - y % n;
    if (p > q) swap(p, q);
    return {p, q};
}

int n = -1;
int qcount = 0;
vector<int> ans;

template<typename T>
void random_shuffle(vector<T> &a) {
    mt19937 mt{ random_device{}() };
    for (int i = a.size() - 1; i >= 1; i--) {
        uniform_int_distribution<int> dist(0, i);
        int j = dist(mt);
        if (i != j) swap(a[i], a[j]);
    }
}

void initialize_ans(int size) {
    n = size;
    ans.resize(n * n - n);
    iota(ans.begin(), ans.end(), n);
    random_shuffle(ans);
    // ans = {3, 5, 6, 8, 4, 7};
    cerr << "initialize with size = " << size << endl;
    cerr << "ans =";
    for (int x : ans) cerr << ' ' << x;
    cerr << endl;
}

int getsize() {
    int tmp; cin >> tmp;
    if (cin.eof()) {
        interactive = false;
        initialize_ans(10);
        return n;
    }
    return n = tmp;
}

pair<int, int> query(int i, int j) {
    if (!interactive) {
        ++qcount;
        assert(qcount <= (n * n - n) / 2 * 3);
        auto [p, q] = diff(ans[i], ans[j], n);
        cerr << "? " << i << ' ' << j << endl;
        cerr << p << ' ' << q << endl;
        return {p, q};
    } else {
        cout << "? " << i+1 << ' ' << j+1 << endl;
        int x, y; cin >> x >> y;
        return {x, y};
    }
}

void answer(vector<int>& r) {
    if (!interactive) {
        cerr << '!';
        for (int x : r) cerr << ' ' << x;
        cerr << endl;
        assert(r.size() == n * n - n);
        for (int i = 0; i < r.size(); i++) {
            assert(r[i] == ans[i]);
        }
    } else {
        cout << '!';
        for (int x : r) cout << ' ' << x;
        cout << endl;
    }
}

int main() {
    int n = getsize();
    vector<pair<int, int> > res(n*n-n);
    vector<int> ans(n*n-n, 0);
    for (int i = 1; i < n * n - n; i++) {
        res[i] = query(0, i);
    }
    auto sum = [](pair<int, int> x) { return x.first + x.second; };
    auto cmp = [sum](pair<int, int> x, pair<int, int> y) { return sum(x) < sum(y); };
    int idx10 = max_element(res.begin(), res.end(), cmp) - res.begin();
    if (sum(res[idx10]) < 0) idx10 = 0;
    int idxnn = min_element(res.begin(), res.end(), cmp) - res.begin();
    if (sum(res[idxnn]) > 0) idxnn = 0;
    // cerr << idx10 << ' ' << idxnn << endl;
    if (idx10 == 0) ans[0] = n;
    else if (idxnn == 0) ans[0] = n * n - 1;
    else {
        for (int x = n; x < n * n; x++)
            if (diff(x, n, n) == res[idx10] &&
                diff(x, n * n - 1, n) == res [idxnn]) {
                assert(ans[0] == 0);
                ans[0] = x;
            }
    }
    // cerr  << "a[0] = " << ans[0] << endl;

    map<pair<int, int>, vector<int> > idx_of;
    for (int i = 1; i < n * n - n; i++)
        idx_of[res[i]].push_back(i);
    for (auto &[k, v] : idx_of) {
        auto [p, q] = k;
        // cerr << p << ' ' << q << " =>";
        // for (int x : v) cerr << ' ' << x;
        // cerr << endl;
    }
    for (auto &[k, v] : idx_of) {
        auto [p, q] = k;
        int a0 = ans[0] / n - p, a1 = ans[0] % n - q,
            b0 = ans[0] / n - q, b1 = ans[0] % n - p;
        auto ok = [n](int x) { return 0 <= x && x < n; };
        int a = ok(a0) && ok(a1) ? (ans[0] / n - p) * n + (ans[0] % n - q) : -1,
            b = ok(b0) && ok(b1) ? (ans[0] / n - q) * n + (ans[0] % n - p) : -1;
        if (v.size() == 1) {
            const int i = v[0];
            // cerr << p << ' ' << q << ' ' << i << ' ' << a << ' ' << b << endl;
            if (n <= a && a < n * n) {
                assert(k == diff(ans[0], a, n));
                ans[i] = a;
            } else {
                assert(n <= b && b < n * n);
                assert(k == diff(ans[0], b, n));
                ans[i] = b;
            }
            assert(k == diff(ans[0], ans[i], n));
        } else {
            assert(v.size() == 2);
            int i = v[0], j = v[1];
            // cerr << p << ' ' << q << ' ' << i << ' ' << j << endl;
            assert(n <= a && a < n * n);
            assert(n <= b && b < n * n);
            assert(a != b);
            assert(k == diff(ans[0], a, n));
            assert(k == diff(ans[0], b, n));
            if (diff(a, n, n) != diff(b, n, n)) {
                if (query(i, idx10) == diff(a, n, n)) {
                    ans[i] = a; ans[j] = b;
                } else {
                    ans[j] = a; ans[i] = b;
                }
            } else {
                assert(diff(a, n * n - 1, n) != diff(b, n * n - 1, n));
                if (query(i, idxnn) == diff(a, n * n - 1, n)) {
                    ans[i] = a; ans[j] = b;
                } else {
                    ans[j] = a; ans[i] = b;
                }
            }
        }
    }

    answer(ans);
}
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