結果

問題 No.5021 Addition Pyramid
ユーザー momohara
提出日時 2025-02-25 22:23:49
言語 C++23
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 1,553 ms / 2,000 ms
コード長 5,998 bytes
コンパイル時間 6,755 ms
コンパイル使用メモリ 335,172 KB
実行使用メモリ 6,824 KB
スコア 41,310,525
最終ジャッジ日時 2025-02-25 22:25:16
合計ジャッジ時間 87,022 ms
ジャッジサーバーID
(参考情報)
judge4 / judge3
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ファイルパターン 結果
other AC * 50
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ソースコード

diff #

#include <atcoder/all>
#include <bits/stdc++.h>
#include <sys/time.h>

using namespace std;
using namespace atcoder;

using ll = long long;
using ull = unsigned long long;
using ld = long double;
using P = pair<ll, ll>;
using tp = tuple<ll, ll, ll>;

template <class T>
using vec = vector<T>;
template <class T>
using vvec = vector<vec<T>>;

#define all(hoge) (hoge).begin(), (hoge).end()
#define en '\n'
#define rep(i, m, n) for(ll i = (ll)(m); i < (ll)(n); ++i)
#define rep2(i, m, n) for(ll i = (ll)(n)-1; i >= (ll)(m); --i)
#define REP(i, n) rep(i, 0, n)
#define REP2(i, n) rep2(i, 0, n)

constexpr long long INF = 1LL << 60;
constexpr int INF_INT = 1 << 25;
// constexpr long long MOD = (ll)1e9 + 7;
constexpr long long MOD = 998244353LL;
static const ld pi = 3.141592653589793L;

template <class T>
inline bool chmin(T &a, T b) {
    if(a > b) {
        a = b;
        return true;
    }
    return false;
}

template <class T>
inline bool chmax(T &a, T b) {
    if(a < b) {
        a = b;
        return true;
    }
    return false;
}

constexpr double TL = 1.5;

struct Timer {
    chrono::system_clock::time_point start, last_updated;

    Timer() {
        start = chrono::system_clock::now();
        last_updated = chrono::system_clock::now();
    }

    void reset() {
        start = chrono::system_clock::now();
    }

    void update() {
        last_updated = chrono::system_clock::now();
    }

    double getTime() {
        auto now = chrono::system_clock::now();
        return chrono::duration<double>(now - start).count();
    }
    double should_finish_search1() {
        return getTime() > TL;
    }
    bool should_reset() {
        auto now = chrono::system_clock::now();
        return chrono::duration<double>(now - last_updated).count() > 1.0 ||
               chrono::duration<double>(now - start).count() > TL;
    }
};
Timer timer;

struct Xor128 {
    unsigned x, y, z, w;

    Xor128() : x(123456789), y(362436069), z(521288629), w(88675123){};

    inline unsigned xor128() {
        unsigned t;
        t = x ^ (x << 11);
        x = y;
        y = z;
        z = w;
        return w = (w ^ (w >> 19)) ^ (t ^ (t >> 8));
    }

    int nextInt(int x, int y) {
        return xor128() % (y - x) + x;
    }

    double nextDouble(double a, double b) {
        return (double)(xor128() & 0xffff) / 0xffff * (b - a) + a;
    }
};
auto rnd = Xor128();

void solve() {
    ll n;
    cin >> n;
    using mint = modint;
    modint::set_mod(100000000);
    vvec<mint> a(n);
    REP(i, n) {
        a[i] = vector(i + 1, mint(0));
        REP(j, i + 1) {
            ll aa;
            cin >> aa;
            a[i][j] = aa;
        }
    }

    // 各ますの影響度が入る
    vec<vvec<mint>> d(n);
    REP(s, n) {
        vvec<mint> dd(n);
        dd[n - 1].resize(n, 0);
        dd[n - 1][s] = 1;
        REP2(i, n - 1) {
            dd[i].resize(i + 1, 0);
            REP(j, i + 1) {
                dd[i][j] = dd[i + 1][j] + dd[i + 1][j + 1];
            }
        }
        d[s] = dd;
    }

    vvec<mint> b(n);
    b[n - 1] = a[n - 1];
    REP2(i, n - 1) {
        b[i].resize(i + 1, 0);
        REP(j, i + 1) {
            b[i][j] = b[i + 1][j] + b[i + 1][j + 1];
        }
    }

    vvec<bool> ignore(n, vec<bool>(n, false));
    REP(_, 1000) {
        ll ma = -1;
        ll pma = -1;
        int mai = -1;
        int maj = -1;
        REP(i, n) {
            REP(j, i + 1) {
                ll diff = min((b[i][j] - a[i][j]).val(), (a[i][j] - b[i][j]).val());
                chmax(ma, diff);
                if(!ignore[i][j] and chmax(pma, diff)) {
                    mai = i;
                    maj = j;
                }
            }
        }
        if(mai != -1) {
            int i = mai;
            int j = maj;
            ll diff = (a[i][j] - b[i][j]).val();
            ll nma = -1;
            REP(s, n) {
                if(d[s][i][j] != 1)
                    continue;
                REP(i, n) {
                    REP(j, i + 1) {
                        b[i][j] += d[s][i][j] * diff;
                        ll ndiff = min((b[i][j] - a[i][j]).val(), (a[i][j] - b[i][j]).val());
                        chmax(nma, ndiff);
                    }
                }
                if(nma < ma)
                    break;
                // rollback
                nma = -1;
                REP(i, n) {
                    REP(j, i + 1) {
                        b[i][j] -= d[s][i][j] * diff;
                    }
                }
            }
            if(nma == -1) {
                // 改善できる手がない
                ignore[i][j] = true;
            }
            // cerr << nma << endl;
        }
    }

    REP(_, 100000) {
        int s = rnd.nextInt(0, n);
        int t = rnd.nextInt(0, 1e8);
        ll ma = -1;
        ll nma = -1;
        REP(i, n) {
            REP(j, i + 1) {
                ll diff = min((b[i][j] - a[i][j]).val(), (a[i][j] - b[i][j]).val());
                chmax(ma, diff);
                b[i][j] += d[s][i][j] * t;
                ll ndiff = min((b[i][j] - a[i][j]).val(), (a[i][j] - b[i][j]).val());
                chmax(nma, ndiff);
            }
        }
        if(nma < ma)
            continue;
        // rollback
        REP(i, n) {
            REP(j, i + 1) {
                b[i][j] -= d[s][i][j] * t;
            }
        }
    }

    vec<mint> c = b[n - 1];

    for(auto cc : c) {
        cout << cc.val() << " ";
    }
    cout << en;
#if !defined(ONLINE_JUDGE)
    // ローカル用出力
    ll x = 0;
    REP(i, n) {
        REP(j, i + 1) {
            ll diff = min((b[i][j] - a[i][j]).val(), (a[i][j] - b[i][j]).val());
            chmax(x, diff);
        }
    }
    ll score = 5e7 - x;
    cerr << score << en;
#endif
}

int main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    // cout << fixed << setprecision(10);

    // ll t;
    // cin >> t;
    // REP(i, t - 1) {
    //     solve();
    // }

    solve();

    return 0;
}
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