#409585 (C++14) No.952 危険な火薬庫

提出ソース
結果

問題	No.952 危険な火薬庫
ユーザー	jell
提出日時	2019-12-17 23:19:09
言語	C++14 (gcc 12.3.0 + boost 1.83.0)
結果	TLE
実行時間	-
コード長	14,903 bytes
コンパイル時間	2,196 ms
コンパイル使用メモリ	150,316 KB
実行使用メモリ	213,500 KB
最終ジャッジ日時	2023-09-18 06:46:45
合計ジャッジ時間	19,535 ms
ジャッジサーバーID （参考情報）	judge14 / judge15
このコードへのチャレンジ
（要ログイン）
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 4,380 KB
testcase_01	AC	1 ms 4,376 KB
testcase_02	AC	2 ms 4,380 KB
testcase_03	AC	1,276 ms 118,200 KB
testcase_04	AC	1,269 ms 115,924 KB
testcase_05	AC	979 ms 94,060 KB
testcase_06	AC	1,605 ms 140,784 KB
testcase_07	AC	488 ms 48,188 KB
testcase_08	AC	1,847 ms 159,252 KB
testcase_09	AC	1,885 ms 161,852 KB
testcase_10	AC	704 ms 64,656 KB
testcase_11	AC	2 ms 4,380 KB
testcase_12	AC	636 ms 69,016 KB
testcase_13	AC	691 ms 71,816 KB
testcase_14	AC	138 ms 18,572 KB
testcase_15	AC	1,096 ms 104,276 KB
testcase_16	AC	190 ms 23,108 KB
testcase_17	AC	141 ms 18,120 KB
testcase_18	AC	271 ms 30,468 KB
testcase_19	AC	3 ms 4,380 KB
testcase_20	AC	4 ms 4,380 KB
testcase_21	AC	669 ms 62,176 KB
testcase_22	AC	110 ms 14,884 KB
testcase_23	AC	6 ms 4,376 KB
testcase_24	AC	39 ms 8,248 KB
testcase_25	TLE	-
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ソースコード

raw source code
#ifdef LOCAL
    #define _GLIBCXX_DEBUG
    #define __clock__
#else
    #pragma GCC optimize("Ofast")
    // #define NDEBUG
#endif
// #define __buffer_check__
#define __precision__ 10
#define iostream_untie true
#define debug_stream std::cerr

#include <algorithm>
#include <bitset>
#include <cassert>
#include <chrono>
#include <complex>
#include <cstring>
#include <deque>
#include <functional>
#include <iomanip>
#include <iostream>
#include <list>
#include <map>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <unordered_map>
#include <unordered_set>

#define all(v) std::begin(v), std::end(v)
#define rall(v) std::rbegin(v), std::rend(v)
#define odd(n) ((n) & 1)
#define even(n) (not __odd(n))
#define __popcount(n) __builtin_popcountll(n)
#define __clz32(n) __builtin_clz(n)
#define __clz64(n) __builtin_clzll(n)
#define __ctz32(n) __builtin_ctz(n)
#define __ctz64(n) __builtin_ctzll(n)

using i32 = int_least32_t; using i64 = int_least64_t; using u32 = uint_least32_t; using u64 = uint_least64_t;
using pii = std::pair<i32, i32>; using pll = std::pair<i64, i64>;
template <class T> using heap = std::priority_queue<T>;
template <class T> using rheap = std::priority_queue<T, std::vector<T>, std::greater<T>>;
template <class T> using hashset = std::unordered_set<T>;
template <class Key, class Value> using hashmap = std::unordered_map<Key, Value>;

namespace setting
{
    using namespace std::chrono;
    system_clock::time_point start_time, end_time;
    long long get_elapsed_time() { end_time = system_clock::now(); return duration_cast<milliseconds>(end_time - start_time).count(); }
    void print_elapsed_time() { debug_stream << "\n----- Exec time : " << get_elapsed_time() << " ms -----\n"; }
    void buffer_check()
    {
        char bufc;
        if(std::cin >> bufc) debug_stream << "\n\033[1;35mwarning\033[0m: buffer not empty.\n";
    }
    struct setupper
    {
        setupper()
        {
            if(iostream_untie) std::ios::sync_with_stdio(false), std::cin.tie(nullptr);
            std::cout << std::fixed << std::setprecision(__precision__);
    #ifdef stderr_path
            if(freopen(stderr_path, "a", stderr))
            {
                std::cerr << std::fixed << std::setprecision(__precision__);
            }
    #endif
    #ifdef stdout_path
            if(not freopen(stdout_path, "w", stdout))
            {
                freopen("CON", "w", stdout);
                debug_stream << "\n\033[1;35mwarning\033[0m: failed to open stdout file.\n";
            }
            std::cout << "";
    #endif
    #ifdef stdin_path
            if(not freopen(stdin_path, "r", stdin))
            {
                freopen("CON", "r", stdin);
                debug_stream << "\n\033[1;35mwarning\033[0m: failed to open stdin file.\n";
            }
    #endif
    #ifdef LOCAL
            debug_stream << "----- stderr at LOCAL -----\n\n";
            atexit(print_elapsed_time);
    #endif
    #ifdef __buffer_check__
            atexit(buffer_check);
    #endif
    #if defined(__clock__) || defined(LOCAL)
            start_time = system_clock::now();
    #endif
        }
    } __setupper; // struct setupper
} // namespace setting
#ifdef __clock__
class
{
    std::chrono::system_clock::time_point built_pt, last_pt; int built_ln, last_ln;
    std::string built_func, last_func; bool is_built = false;
  public:
    void build(int crt_ln, const std::string &crt_func)
    {
        is_built = true, last_pt = built_pt = std::chrono::system_clock::now(),  last_ln = built_ln = crt_ln, last_func = built_func = crt_func;
    }
    void set(int crt_ln, const std::string &crt_func)
    {
        if(is_built) last_pt = std::chrono::system_clock::now(), last_ln = crt_ln, last_func = crt_func;
        else debug_stream << "[ " << crt_ln << " : " << crt_func << " ] " << "myclock_t::set failed (yet to be built!)\n";
    }
    void get(int crt_ln, const std::string &crt_func)
    {
        if(is_built)
        {
            std::chrono::system_clock::time_point crt_pt(std::chrono::system_clock::now());
            long long diff = std::chrono::duration_cast<std::chrono::milliseconds>(crt_pt - last_pt).count();
            debug_stream << diff << " ms elapsed from" << " [ " << last_ln << " : " << last_func << " ]";
            if(last_ln == built_ln) debug_stream << " (when built)";
            debug_stream << " to" << " [ " << crt_ln << " : " << crt_func << " ]" << "\n";
            last_pt = built_pt, last_ln = built_ln, last_func = built_func;
        }
        else
        {
            debug_stream << "[ " << crt_ln << " : " << crt_func << " ] " << "myclock_t::get failed (yet to be built!)\n";
        }
    }
} myclock; // unnamed class
    #define build_clock() myclock.build(__LINE__, __func__)
    #define set_clock() myclock.set(__LINE__, __func__)
    #define get_clock() myclock.get(__LINE__, __func__)
#else
    #define build_clock() ((void)0)
    #define set_clock() ((void)0)
    #define get_clock() ((void)0)
#endif

namespace std
{
    // hash
    template <class T> size_t hash_combine(size_t seed, T const &key) { return seed ^ (hash<T>()(key) + 0x9e3779b9 + (seed << 6) + (seed >> 2)); }
    template <class T, class U> struct hash<pair<T, U>> { size_t operator()(pair<T, U> const &pr) const { return hash_combine(hash_combine(0, pr.first), pr.second); } };
    template <class tuple_t, size_t index = tuple_size<tuple_t>::value - 1> struct tuple_hash_calc { static size_t apply(size_t seed, tuple_t const &t) { return hash_combine(tuple_hash_calc<tuple_t, index - 1>::apply(seed, t), get<index>(t)); } };
    template <class tuple_t> struct tuple_hash_calc<tuple_t, 0> { static size_t apply(size_t seed, tuple_t const &t) { return hash_combine(seed, get<0>(t)); } };
    template <class... T> struct hash<tuple<T...>> { size_t operator()(tuple<T...> const &t) const { return tuple_hash_calc<tuple<T...>>::apply(0, t); } };
    // iostream
    template <class T, class U> istream &operator>>(istream &is, pair<T, U> &p) { return is >> p.first >> p.second; }
    template <class T, class U> ostream &operator<<(ostream &os, const pair<T, U> &p) { return os << p.first << ' ' << p.second; }
    template <class tuple_t, size_t index> struct tupleis { static istream &apply(istream &is, tuple_t &t) { tupleis<tuple_t, index - 1>::apply(is, t); return is >> get<index>(t); } };
    template <class tuple_t> struct tupleis<tuple_t, numeric_limits<size_t>::max()> { static istream &apply(istream &is, tuple_t &t) { return is; } };
    template <class... T> istream &operator>>(istream &is, tuple<T...> &t)  { return tupleis<tuple<T...>, tuple_size<tuple<T...>>::value - 1>::apply(is, t); }
    template <> istream &operator>>(istream &is, tuple<> &t) { return is; }
    template <class tuple_t, size_t index> struct tupleos { static ostream &apply(ostream &os, const tuple_t &t) { tupleos<tuple_t, index - 1>::apply(os, t); return os << ' ' << get<index>(t); } };
    template <class tuple_t> struct tupleos<tuple_t, 0> { static ostream &apply(ostream &os, const tuple_t &t) { return os << get<0>(t); } };
    template <class... T> ostream &operator<<(ostream &os, const tuple<T...> &t)  { return tupleos<tuple<T...>, tuple_size<tuple<T...>>::value - 1>::apply(os, t); }
    template <> ostream &operator<<(ostream &os, const tuple<> &t) { return os; }
    template <class Container, typename Value = typename Container::value_type, enable_if_t<!is_same<decay_t<Container>, string>::value, nullptr_t> = nullptr>
    istream& operator>>(istream& is, Container &cont) { for(auto&& e : cont) is >> e; return is; }
    template <class Container, typename Value = typename Container::value_type, enable_if_t<!is_same<decay_t<Container>, string>::value, nullptr_t> = nullptr>
    ostream& operator<<(ostream& os, const Container &cont) { bool flag = 1; for(auto&& e : cont) flag ? flag = 0 : (os << ' ', 0), os << e; return os; }
} // namespace std

#ifdef LOCAL
    #define dump(...)                                                              \
        debug_stream << "[ " << __LINE__ << " : " << __FUNCTION__ << " ]\n",       \
            dump_func(#__VA_ARGS__, __VA_ARGS__)
    template <class T> void dump_func(const char *ptr, const T &x)
    {
        debug_stream << '\t';
        for(char c = *ptr; c != '\0'; c = *++ptr) if(c != ' ') debug_stream << c;
        debug_stream << " : " << x << '\n';
    }
    template <class T, class... rest_t> void dump_func(const char *ptr, const T &x, rest_t... rest)
    {
        debug_stream << '\t';
        for(char c = *ptr; c != ','; c = *++ptr) if(c != ' ') debug_stream << c;
        debug_stream << " : " << x << ",\n"; dump_func(++ptr, rest...);
    }
#else
    #define dump(...) ((void)0)
#endif
template <class P> void read_range(P __first, P __second) { for(P i = __first; i != __second; ++i) std::cin >> *i; }
template <class P> void write_range(P __first, P __second) { for(P i = __first; i != __second; std::cout << (++i == __second ? '\n' : ' ')) std::cout << *i; }

// substitue y for x if x > y.
template <class T> inline bool sbmin(T &x, const T &y) { return x > y ? x = y, true : false; }
// substitue y for x if x < y.
template <class T> inline bool sbmax(T &x, const T &y) { return x < y ? x = y, true : false; }
// binary search.
i64 bin(const std::function<bool(i64)> &pred, i64 ok, i64 ng)
{
    while(std::abs(ok - ng) > 1) { i64 mid = (ok + ng) / 2; (pred(mid) ? ok : ng) = mid; }
    return ok;
}
double bin(const std::function<bool(double)> &pred, double ok, double ng, const double eps)
{
    while(std::abs(ok - ng) > eps) { double mid = (ok + ng) / 2; (pred(mid) ? ok : ng) = mid; }
    return ok;
}
// be careful that val is type-sensitive.
template <class T, class A, size_t N> void init(A (&array)[N], const T &val) { std::fill((T *)array, (T *)(array + N), val); }
// reset all bits.
template <class A> void reset(A &array) { memset(array, 0, sizeof(array)); }


/* The main code follows. */

template <class K>
class Convex_hull_trick
{
    struct line
    {
        K slop, incp;
        line(K a, K b) : slop(a), incp(b) {}
        K get(K x) const { return slop * x + incp; }
    }; // struct line

    struct node
    {
        line ln;
        node *left, *right;
        node(const line &l) : ln(l), left(nullptr), right(nullptr) {}
        ~node() { delete left; delete right; }
        K get(K x) const { return ln.get(x); }
    }; // struct node

    using comp_t = std::function<bool(const K &, const K &)>;
    const comp_t comp;
    const K x_min, x_max, eps;
    std::size_t node_cnt;
    node *root;

    // insert a line or segment for the interval [l, r).
    node *insert(node *const p, const K l, const K r, line ln, const K s,
                 const K t)
    {
        if(t - eps < l or r - eps < s) return p;
        const K mid = (l + r) / 2;
        if(l < s or t < r)
        {
            p->left = insert(p->left, l, mid, ln, s, t);
            p->right = insert(p->right, mid, r, ln, s, t);
            return p;
        }
        if(not p) return ++node_cnt, new node(ln);
        bool lcmp = comp(ln.get(l), p->get(l));
        bool rcmp = comp(ln.get(r - eps), p->get(r - eps));
        if(lcmp == rcmp)
        {
            if(lcmp) p->ln = ln;
            return p;
        }
        if(r - l <= eps) return p;
        if(comp(ln.get(mid), p->get(mid)))
        {
            std::swap(p->ln, ln);
            lcmp = not lcmp;
        }
        if(lcmp)
            p->left = insert(p->left, l, mid, ln, s, t);
        else
            p->right = insert(p->right, mid, r, ln, s, t);
        return p;
    }

  public:
    static constexpr K inf = std::numeric_limits<K>::max() / K(2) - K(1123456);
    // domain set to be the interval [x_min, x_max).
    Convex_hull_trick(const comp_t &_comp, const K _x_min, const K _x_max,
                      const K _eps = K(1))
        : comp(_comp), x_min(_x_min), x_max(_x_max), eps(_eps), root()
    {}

    ~Convex_hull_trick() { delete root; }

    std::size_t size() const { return node_cnt; }

    bool empty() const { return !root; }

    // insert a line whose slope is p and inception is q.
    void insert(const K p, const K q) { insert(p, q, x_min, x_max); }

    // insert a line(segment) whose slope is p, inception is q,
    // and domain is the interval [s, t).
    void insert(const K p, const K q, const K s, const K t) { if(s < t) root = insert(root, x_min, x_max, line(p, q), s, t); }

    // get the value at x.
    K query(const K x) const
    {
        node *p = root;
        K l = x_min, r = x_max;
        K res = inf;
        while(p)
        {
            if(comp(p->get(x), res)) res = p->get(x);
            if(r - l <= eps) return res;
            K mid = (l + r) / 2;
            if(x < mid)
            {
                p = p->left;
                r = mid;
            }
            else
            {
                p = p->right;
                l = mid;
            }
        }
        return res;
    }
}; // class Convex_hull_trick

using namespace std;


struct solver
{

    solver()
    {
        int n; cin>>n;
        vector<int> a(n); cin>>a;
        vector<i64> acc(n+1);
        for(int i=0; i<n; ++i)
        {
            acc[i+1]=acc[i]+a[i];
        }

        const i64 inf=1e17;
        vector<Convex_hull_trick<i64>> cht(n+1,Convex_hull_trick<i64>(std::less<i64>(), 0, 300000001));

        i64 dp2[3030]; // i used ones
        init(dp2,inf);
        dp2[0]=0;
        cht[0].insert(0,0);

        for(int i=1; i<=n; ++i)
        {
            i64 dp[3030];
            for(int j=0; j<=i; ++j)
            {
                dp[j]=cht[j].query(acc[i])+acc[i]*acc[i];
            }

            for(int j=0; j<=i; ++j)
            {
                if(dp2[i-j]<inf) cht[j].insert(-2*acc[i],acc[i]*acc[i]+dp2[i-j]);
            }

            for(int j=0; j<=i; ++j)
            {
                sbmin(dp2[i-j],dp[j]);
            }
        }

        for(int j=1; j<=n; ++j)
        {
            cout << dp2[j] << "\n";
        }




        // for(int i=0; i<n; ++i)
        // {
        //     for(int j=0; j<=i; ++j)
        //     {
        //         sbmin(dp[i+1][j],dp[i][j]);
        //         sbmin(dp2[j],dp[i][j]);
        //     }
        //     for(int j=0; j<=i; ++j)
        //     {
        //         i64 now=acc[i+1]*acc[i+1]+cht[j].query(acc[i+1]);
        //         sbmin(dp[i+1][j+1],now);
        //     }
        //     for(int j=0; j<=i; ++j)
        //     {
        //         cht[j].insert(-2*acc[1+i],acc[1+i]*acc[1+i]+dp2[j]);
        //         // dump(dp[i][j]);
        //     }
        // }

        // for(int i=1; i<=n; ++i)
        // {
        //     cout << dp[n][i] << '\n';
        // }
    }
};

signed main()
{
    u32 t = 1;
#ifdef LOCAL
    t=3;
#endif
    // t = -1; // infinite loop
    // cin >> t; // case number given
    while(t--) solver();
}
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結果

テストケース

ソースコード
