結果

問題 No.2523 Trick Flower
ユーザー hotman78hotman78
提出日時 2023-10-27 22:52:23
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
RE  
実行時間 -
コード長 12,333 bytes
コンパイル時間 3,302 ms
コンパイル使用メモリ 240,472 KB
実行使用メモリ 10,024 KB
最終ジャッジ日時 2023-10-27 22:52:33
合計ジャッジ時間 8,705 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
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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 1 ms
4,348 KB
testcase_01 AC 2 ms
4,348 KB
testcase_02 AC 2 ms
4,348 KB
testcase_03 AC 2 ms
4,348 KB
testcase_04 AC 2 ms
4,348 KB
testcase_05 AC 2 ms
4,348 KB
testcase_06 AC 2 ms
4,348 KB
testcase_07 RE -
testcase_08 RE -
testcase_09 RE -
testcase_10 RE -
testcase_11 RE -
testcase_12 RE -
testcase_13 RE -
testcase_14 RE -
testcase_15 AC 461 ms
9,200 KB
testcase_16 AC 444 ms
9,200 KB
testcase_17 AC 240 ms
10,024 KB
testcase_18 AC 116 ms
9,200 KB
testcase_19 RE -
testcase_20 RE -
testcase_21 RE -
testcase_22 RE -
testcase_23 RE -
testcase_24 RE -
testcase_25 RE -
testcase_26 RE -
testcase_27 RE -
testcase_28 RE -
testcase_29 RE -
testcase_30 RE -
testcase_31 RE -
testcase_32 RE -
testcase_33 RE -
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ソースコード

diff #

// author: hotman78
// date: 2023/10/27-22:52:15

// --- begin raw code -----------------
// #include"cpplib/util/template.hpp"
// #include"cpplib/math/binary_search.hpp"
// #include"cpplib/dsu/union_find.hpp"
// 
// int main(){
//     lint n;
//     cin>>n;
//     vector<lint> a(n),b(n),c(n);
//     rep(i,n)cin>>a[i];
//     rep(i,n)cin>>b[i];
//     rep(i,n)cin>>c[i];
//     rep(i,n)c[i]--;
//     vec in_cycle(n,true);
//     {
//         stack<lint> s;
//         vec used(n);
//         rep(i,n)used[c[i]]++;
//         rep(i,n)if(used[i]==0)s.push(i);
//         while(!s.empty()){
//             lint v=s.top();s.pop();
//             in_cycle[v]=false;
//             used[c[v]]--;
//             if(used[c[v]]==0)s.push(c[v]);
//         }
//     }
//     UF uf(n);
//     rep(i,n){
//         if(in_cycle[i])uf.unite(i,c[i]);
//     }
//     auto f=[&](lint x){
//         stack<lint> s;
//         vec used(n);
//         vector<__int128_t> demand(n);
//         rep(i,n)used[c[i]]++;
//         rep(i,n)if(used[i]==0)s.push(i);
//         while(!s.empty()){
//             lint v=s.top();s.pop();
//             used[c[v]]--;
//             if(used[c[v]]==0){
//                 assert(!in_cycle[c[v]]);
//                 demand[c[v]]+=max<__int128_t>(0LL,__int128_t(b[v])*x+demand[v]-a[v]);
//                 s.push(c[v]);
//             }else{
//                 assert(in_cycle[c[v]]);
//                 demand[uf.root(c[v])]+=max<__int128_t>(0LL,__int128_t(b[v])*x+demand[v]-a[v]);
//             }
//         }
//         rep(i,n){
//             if(in_cycle[i]){
//                 demand[uf.root(i)]+=__int128_t(b[i])*x-a[i];
//             }
//         }
//         rep(i,n){
//             if(in_cycle[i]){
//                 // cerr<<i<<":"<<demand[uf.root(i)]<<endl;
//                 if(demand[uf.root(i)]>0){
//                     return false;
//                 }
//             }
//         }
//         return true;
//     };
//     // cerr<<f(3)<<endl;
//     cout<<bs(0LL,1LL<<60,f)<<endl;
// }
// --- end raw code -----------------

#line 2 "cpplib/util/template.hpp"
#ifdef LOCAL
#define _GLIBCXX_DEBUG
#endif
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("avx2")
#include <bits/stdc++.h>
using namespace std;
#line 1 "cpplib/util/ioutil.hpp"
// template <class Head,class... Args>
// std::ostream& output(std::ostream& out,const Head& head,const Args&... args){
//     out>>head;
//     return output(head,args...);
// }
// template <class Head>
// std::ostream& output(std::ostream& out,const Head& head){
//     out>>head;
//     return out;
// }

template <typename T, typename E>
std::ostream &operator<<(std::ostream &out, std::pair<T, E> v) {
    out << "(" << v.first << "," << v.second << ")";
    return out;
}

// template <class... Args>
// ostream& operator<<(ostream& out,std::tuple<Args...>v){
//     std::apply(output,v);
//     return out;
// }
#line 11 "cpplib/util/template.hpp"
struct __INIT__ {
    __INIT__() {
        cin.tie(0);
        ios::sync_with_stdio(false);
        cout << fixed << setprecision(15);
    }
} __INIT__;
typedef long long lint;
constexpr long long INF = 1LL << 60;
constexpr int IINF = 1 << 30;
constexpr double EPS = 1e-10;
#ifndef REACTIVE
#define endl '\n';
#endif
typedef vector<lint> vec;
typedef vector<vector<lint>> mat;
typedef vector<vector<vector<lint>>> mat3;
typedef vector<string> svec;
typedef vector<vector<string>> smat;
template <typename T> using V = vector<T>;
template <typename T> using VV = V<V<T>>;
#define output(t)                                                              \
    {                                                                          \
        bool f = 0;                                                            \
        for (auto val : (t)) {                                                 \
            cout << (f ? " " : "") << val;                                     \
            f = 1;                                                             \
        }                                                                      \
        cout << endl;                                                          \
    }
#define output2(t)                                                             \
    {                                                                          \
        for (auto i : t)                                                       \
            output(i);                                                         \
    }
#define debug(t)                                                               \
    {                                                                          \
        bool f = 0;                                                            \
        for (auto i : t) {                                                     \
            cerr << (f ? " " : "") << i;                                       \
            f = 1;                                                             \
        }                                                                      \
        cerr << endl;                                                          \
    }
#define debug2(t)                                                              \
    {                                                                          \
        for (auto i : t)                                                       \
            debug(i);                                                          \
    }
#define loop(n) for (long long _ = 0; _ < (long long)(n); ++_)
#define _overload4(_1, _2, _3, _4, name, ...) name
#define __rep(i, a) repi(i, 0, a, 1)
#define _rep(i, a, b) repi(i, a, b, 1)
#define repi(i, a, b, c)                                                       \
    for (long long i = (long long)(a); i < (long long)(b); i += c)
#define rep(...) _overload4(__VA_ARGS__, repi, _rep, __rep)(__VA_ARGS__)
#define _overload3_rev(_1, _2, _3, name, ...) name
#define _rep_rev(i, a) repi_rev(i, 0, a)
#define repi_rev(i, a, b)                                                      \
    for (long long i = (long long)(b)-1; i >= (long long)(a); --i)
#define rrep(...) _overload3_rev(__VA_ARGS__, repi_rev, _rep_rev)(__VA_ARGS__)

#define all(n) begin(n), end(n)
template <typename T, typename E> bool chmin(T &s, const E &t) {
    bool res = s > t;
    s = min<T>(s, t);
    return res;
}
template <typename T, typename E> bool chmax(T &s, const E &t) {
    bool res = s < t;
    s = max<T>(s, t);
    return res;
}
const vector<lint> dx = {1, 0, -1, 0, 1, 1, -1, -1};
const vector<lint> dy = {0, 1, 0, -1, 1, -1, 1, -1};
#define SUM(v) accumulate(all(v), 0LL)
#if __cplusplus >= 201703L
template <typename T, typename... Args>
auto make_vector(T x, int arg, Args... args) {
    if constexpr (sizeof...(args) == 0)
        return vector<T>(arg, x);
    else
        return vector(arg, make_vector<T>(x, args...));
}
#endif
#define extrep(v, ...) for (auto v : __MAKE_MAT__({__VA_ARGS__}))
#define bit(n, a) ((n >> a) & 1)
vector<vector<long long>> __MAKE_MAT__(vector<long long> v) {
    if (v.empty())
        return vector<vector<long long>>(1, vector<long long>());
    long long n = v.back();
    v.pop_back();
    vector<vector<long long>> ret;
    vector<vector<long long>> tmp = __MAKE_MAT__(v);
    for (auto e : tmp)
        for (long long i = 0; i < n; ++i) {
            ret.push_back(e);
            ret.back().push_back(i);
        }
    return ret;
}
using graph = vector<vector<int>>;
template <typename T> using graph_w = vector<vector<pair<int, T>>>;

#if __cplusplus >= 201703L
constexpr inline long long powll(long long a, long long b) {
    long long res = 1;
    while (b--)
        res *= a;
    return res;
}
#endif

template <typename T, typename E>
pair<T, E> &operator+=(pair<T, E> &s, const pair<T, E> &t) {
    s.first += t.first;
    s.second += t.second;
    return s;
}
template <typename T, typename E>
pair<T, E> &operator-=(pair<T, E> &s, const pair<T, E> &t) {
    s.first -= t.first;
    s.second -= t.second;
    return s;
}
template <typename T, typename E>
pair<T, E> operator+(const pair<T, E> &s, const pair<T, E> &t) {
    auto res = s;
    return res += t;
}
template <typename T, typename E>
pair<T, E> operator-(const pair<T, E> &s, const pair<T, E> &t) {
    auto res = s;
    return res -= t;
}
#define BEGIN_STACK_EXTEND(size)                                               \
    void *stack_extend_memory_ = malloc(size);                                 \
    void *stack_extend_origin_memory_;                                         \
    char *stack_extend_dummy_memory_ = (char *)alloca(                         \
        (1 + (int)(((long long)stack_extend_memory_) & 127)) * 16);            \
    *stack_extend_dummy_memory_ = 0;                                           \
    asm volatile("mov %%rsp, %%rbx\nmov %%rax, %%rsp"                          \
                 : "=b"(stack_extend_origin_memory_)                           \
                 : "a"((char *)stack_extend_memory_ + (size)-1024));
#define END_STACK_EXTEND                                                       \
    asm volatile("mov %%rax, %%rsp" ::"a"(stack_extend_origin_memory_));       \
    free(stack_extend_memory_);
int floor_pow(int n) { return n ? 31 - __builtin_clz(n) : 0; }
#line 3 "cpplib/math/binary_search.hpp"
/**
 * @brief 二分探索
 */
template <typename T = long long, typename F> T bs(T ok, T ng, F func) {
    while (abs(ok - ng) > 1) {
        T mid = (ok + ng) / 2;
        if (func(mid))
            ok = mid;
        else
            ng = mid;
    }
    return ok;
}
#line 1 "cpplib/dsu/union_find.hpp"
/**
 * @brief Union Find
 * @see
 * https://ja.wikipedia.org/wiki/%E7%B4%A0%E9%9B%86%E5%90%88%E3%83%87%E3%83%BC%E3%82%BF%E6%A7%8B%E9%80%A0
 */

class UF {
  public:
    vector<int> data;
    int sz;

  public:
    UF(int sz) : sz(sz) { data.resize(sz, -1); }
    bool unite(int x, int y) {
        x = root(x);
        y = root(y);
        if (x == y)
            return 0;
        if (data[x] > data[y])
            swap(x, y);
        data[x] += data[y];
        data[y] = x;
        sz--;
        return 1;
    }
    inline int root(int x) { return data[x] < 0 ? x : data[x] = root(data[x]); }
    inline bool same(int x, int y) { return root(x) == root(y); }
    inline int size() { return sz; }
    inline int size(int x) { return -data[root(x)]; }
};
#line 4 "main.cpp"

int main() {
    lint n;
    cin >> n;
    vector<lint> a(n), b(n), c(n);
    rep(i, n) cin >> a[i];
    rep(i, n) cin >> b[i];
    rep(i, n) cin >> c[i];
    rep(i, n) c[i]--;
    vec in_cycle(n, true);
    {
        stack<lint> s;
        vec used(n);
        rep(i, n) used[c[i]]++;
        rep(i, n) if (used[i] == 0) s.push(i);
        while (!s.empty()) {
            lint v = s.top();
            s.pop();
            in_cycle[v] = false;
            used[c[v]]--;
            if (used[c[v]] == 0)
                s.push(c[v]);
        }
    }
    UF uf(n);
    rep(i, n) {
        if (in_cycle[i])
            uf.unite(i, c[i]);
    }
    auto f = [&](lint x) {
        stack<lint> s;
        vec used(n);
        vector<__int128_t> demand(n);
        rep(i, n) used[c[i]]++;
        rep(i, n) if (used[i] == 0) s.push(i);
        while (!s.empty()) {
            lint v = s.top();
            s.pop();
            used[c[v]]--;
            if (used[c[v]] == 0) {
                assert(!in_cycle[c[v]]);
                demand[c[v]] += max<__int128_t>(0LL, __int128_t(b[v]) * x +
                                                         demand[v] - a[v]);
                s.push(c[v]);
            } else {
                assert(in_cycle[c[v]]);
                demand[uf.root(c[v])] += max<__int128_t>(
                    0LL, __int128_t(b[v]) * x + demand[v] - a[v]);
            }
        }
        rep(i, n) {
            if (in_cycle[i]) {
                demand[uf.root(i)] += __int128_t(b[i]) * x - a[i];
            }
        }
        rep(i, n) {
            if (in_cycle[i]) {
                // cerr<<i<<":"<<demand[uf.root(i)]<<endl;
                if (demand[uf.root(i)] > 0) {
                    return false;
                }
            }
        }
        return true;
    };
    // cerr<<f(3)<<endl;
    cout << bs(0LL, 1LL << 60, f) << endl;
}
0