#923804 (C++17) No.2523 Trick Flower

提出ソース

結果

問題	No.2523 Trick Flower
ユーザー	tokusakurai
提出日時	2023-10-27 23:45:05
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	875 ms / 4,000 ms
コード長	6,204 bytes
コンパイル時間	2,648 ms
コンパイル使用メモリ	217,784 KB
実行使用メモリ	21,128 KB
最終ジャッジ日時	2023-10-27 23:45:14
合計ジャッジ時間	8,470 ms
ジャッジサーバーID （参考情報）	judge11 / judge13

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 4,372 KB
testcase_01	AC	2 ms 4,372 KB
testcase_02	AC	2 ms 4,372 KB
testcase_03	AC	2 ms 4,372 KB
testcase_04	AC	2 ms 4,372 KB
testcase_05	AC	2 ms 4,372 KB
testcase_06	AC	2 ms 4,372 KB
testcase_07	AC	2 ms 4,372 KB
testcase_08	AC	3 ms 4,372 KB
testcase_09	AC	3 ms 4,372 KB
testcase_10	AC	2 ms 4,372 KB
testcase_11	AC	2 ms 4,372 KB
testcase_12	AC	2 ms 4,372 KB
testcase_13	AC	3 ms 4,372 KB
testcase_14	AC	2 ms 4,372 KB
testcase_15	AC	869 ms 17,852 KB
testcase_16	AC	875 ms 17,852 KB
testcase_17	AC	57 ms 17,208 KB
testcase_18	AC	62 ms 21,128 KB
testcase_19	AC	251 ms 16,656 KB
testcase_20	AC	214 ms 16,656 KB
testcase_21	AC	246 ms 16,656 KB
testcase_22	AC	216 ms 16,656 KB
testcase_23	AC	221 ms 16,392 KB
testcase_24	AC	85 ms 10,848 KB
testcase_25	AC	149 ms 15,072 KB
testcase_26	AC	145 ms 14,544 KB
testcase_27	AC	158 ms 15,864 KB
testcase_28	AC	134 ms 13,752 KB
testcase_29	AC	26 ms 5,832 KB
testcase_30	AC	107 ms 12,432 KB
testcase_31	AC	6 ms 4,372 KB
testcase_32	AC	58 ms 8,736 KB
testcase_33	AC	169 ms 16,392 KB

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ソースコード

raw source code

#include <bits/stdc++.h>
using namespace std;
#define rep(i, n) for (int i = 0; i < (n); i++)
#define per(i, n) for (int i = (n)-1; i >= 0; i--)
#define rep2(i, l, r) for (int i = (l); i < (r); i++)
#define per2(i, l, r) for (int i = (r)-1; i >= (l); i--)
#define each(e, v) for (auto &e : v)
#define MM << " " <<
#define pb push_back
#define eb emplace_back
#define all(x) begin(x), end(x)
#define rall(x) rbegin(x), rend(x)
#define sz(x) (int)x.size()
using ll = long long;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;

template <typename T>
using minheap = priority_queue<T, vector<T>, greater<T>>;

template <typename T>
using maxheap = priority_queue<T>;

template <typename T>
bool chmax(T &x, const T &y) {
    return (x < y) ? (x = y, true) : false;
}

template <typename T>
bool chmin(T &x, const T &y) {
    return (x > y) ? (x = y, true) : false;
}

template <typename T>
int flg(T x, int i) {
    return (x >> i) & 1;
}

int pct(int x) { return __builtin_popcount(x); }
int pct(ll x) { return __builtin_popcountll(x); }
int topbit(int x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); }
int topbit(ll x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); }
int botbit(int x) { return (x == 0 ? -1 : __builtin_ctz(x)); }
int botbit(ll x) { return (x == 0 ? -1 : __builtin_ctzll(x)); }

template <typename T>
void print(const vector<T> &v, T x = 0) {
    int n = v.size();
    for (int i = 0; i < n; i++) cout << v[i] + x << (i == n - 1 ? '\n' : ' ');
    if (v.empty()) cout << '\n';
}

template <typename T>
void printn(const vector<T> &v, T x = 0) {
    int n = v.size();
    for (int i = 0; i < n; i++) cout << v[i] + x << '\n';
}

template <typename T>
int lb(const vector<T> &v, T x) {
    return lower_bound(begin(v), end(v), x) - begin(v);
}

template <typename T>
int ub(const vector<T> &v, T x) {
    return upper_bound(begin(v), end(v), x) - begin(v);
}

template <typename T>
void rearrange(vector<T> &v) {
    sort(begin(v), end(v));
    v.erase(unique(begin(v), end(v)), end(v));
}

template <typename T>
vector<int> id_sort(const vector<T> &v, bool greater = false) {
    int n = v.size();
    vector<int> ret(n);
    iota(begin(ret), end(ret), 0);
    sort(begin(ret), end(ret), [&](int i, int j) { return greater ? v[i] > v[j] : v[i] < v[j]; });
    return ret;
}

template <typename T>
void reorder(vector<T> &a, const vector<int> &ord) {
    int n = a.size();
    vector<T> b(n);
    for (int i = 0; i < n; i++) b[i] = a[ord[i]];
    swap(a, b);
}

template <typename T>
T floor(T x, T y) {
    assert(y != 0);
    if (y < 0) x = -x, y = -y;
    return (x >= 0 ? x / y : (x - y + 1) / y);
}

template <typename T>
T ceil(T x, T y) {
    assert(y != 0);
    if (y < 0) x = -x, y = -y;
    return (x >= 0 ? (x + y - 1) / y : x / y);
}

template <typename S, typename T>
pair<S, T> operator+(const pair<S, T> &p, const pair<S, T> &q) {
    return make_pair(p.first + q.first, p.second + q.second);
}

template <typename S, typename T>
pair<S, T> operator-(const pair<S, T> &p, const pair<S, T> &q) {
    return make_pair(p.first - q.first, p.second - q.second);
}

template <typename S, typename T>
istream &operator>>(istream &is, pair<S, T> &p) {
    S a;
    T b;
    is >> a >> b;
    p = make_pair(a, b);
    return is;
}

template <typename S, typename T>
ostream &operator<<(ostream &os, const pair<S, T> &p) {
    return os << p.first << ' ' << p.second;
}

struct io_setup {
    io_setup() {
        ios_base::sync_with_stdio(false);
        cin.tie(NULL);
        cout << fixed << setprecision(15);
        cerr << fixed << setprecision(15);
    }
} io_setup;

constexpr int inf = (1 << 30) - 1;
constexpr ll INF = (1LL << 60) - 1;
// constexpr int MOD = 1000000007;
constexpr int MOD = 998244353;

pair<vector<vector<int>>, vector<vector<int>>> functional_graph_decompose(const vector<int> &a) {
    int n = a.size();
    vector<vector<int>> cycles;
    vector<vector<int>> es(n);
    vector<int> c(n, 0);
    for (int i = 0; i < n; i++) {
        for (int p = i;; p = a[p]) {
            if (c[p] == 1) {
                int q = p;
                vector<int> cycle;
                do {
                    cycle.push_back(q);
                    c[q] = 3;
                    q = a[q];
                } while (q != p);
                cycles.push_back(cycle);
            }
            if (c[p] >= 2) break;
            c[p]++;
        }
        for (int p = i; c[p] == 1; p = a[p]) c[p] = 2;
    }
    for (int i = 0; i < n; i++) {
        if (c[i] != 3) {
            es[i].push_back(a[i]);
            es[a[i]].push_back(i);
        }
    }
    return make_pair(cycles, es);
}

void solve() {
    int N;
    cin >> N;

    vector<ll> a(N), b(N);
    vector<int> c(N);

    rep(i, N) cin >> a[i];
    rep(i, N) cin >> b[i];
    rep(i, N) cin >> c[i], c[i]--;

    ll sa = accumulate(all(a), 0LL);
    ll sb = accumulate(all(b), 0LL);

    vector<vector<int>> cycles, es;
    tie(cycles, es) = functional_graph_decompose(c);

    auto judge = [&](ll M) {
        vector<ll> d(N);
        rep(i, N) d[i] = b[i] * M;

        bool ok = true;

        auto dfs = [&](auto &&dfs, int now, int pre = -1) -> ll {
            ll sum = 0;
            each(e, es[now]) {
                if (e == pre) continue;
                ll t = dfs(dfs, e, now);
                sum += t;
            }
            // if (a[now] + sum < d[now]) {
            //     ok = false;
            //     return 0;
            // }
            // return a[now] + sum - d[now];
            sum += d[now] - a[now];
            if (pre != -1) chmax(sum, 0LL);
            return sum;
        };

        each(cycle, cycles) {
            ll sum = 0;
            each(e, cycle) {
                // d[e] -= dfs(dfs, e);
                // sum += a[e] - d[e];
                sum += dfs(dfs, e);
            }
            if (sum > 0) return false;
        }

        return ok;
    };

    ll ok = 0, ng = ceil(sa, sb) + 3;

    while (abs(ok - ng) > 1) {
        ll mid = (ok + ng) / 2;
        (judge(mid) ? ok : ng) = mid;
    }

    cout << ok << '\n';
}

int main() {
    int T = 1;
    // cin >> T;
    while (T--) solve();
}

yukicoder

結果

テストケース

ソースコード