#601723 (C++17) No.1334 Multiply or Add

提出ソース

結果

問題	No.1334 Multiply or Add
ユーザー	haruki_K
提出日時	2021-01-09 08:45:28
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	32 ms / 2,000 ms
コード長	9,415 bytes
コンパイル時間	2,494 ms
コンパイル使用メモリ	216,696 KB
実行使用メモリ	6,820 KB
最終ジャッジ日時	2024-11-17 09:41:08
合計ジャッジ時間	5,586 ms
ジャッジサーバーID （参考情報）	judge2 / judge4

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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 6,820 KB
testcase_01	AC	2 ms 6,816 KB
testcase_02	AC	2 ms 6,820 KB
testcase_03	AC	15 ms 6,816 KB
testcase_04	AC	15 ms 6,820 KB
testcase_05	AC	15 ms 6,816 KB
testcase_06	AC	13 ms 6,820 KB
testcase_07	AC	15 ms 6,816 KB
testcase_08	AC	15 ms 6,816 KB
testcase_09	AC	13 ms 6,820 KB
testcase_10	AC	14 ms 6,816 KB
testcase_11	AC	14 ms 6,820 KB
testcase_12	AC	14 ms 6,816 KB
testcase_13	AC	14 ms 6,816 KB
testcase_14	AC	15 ms 6,820 KB
testcase_15	AC	15 ms 6,816 KB
testcase_16	AC	15 ms 6,820 KB
testcase_17	AC	15 ms 6,816 KB
testcase_18	AC	15 ms 6,820 KB
testcase_19	AC	15 ms 6,816 KB
testcase_20	AC	16 ms 6,820 KB
testcase_21	AC	15 ms 6,816 KB
testcase_22	AC	13 ms 6,816 KB
testcase_23	AC	14 ms 6,820 KB
testcase_24	AC	14 ms 6,820 KB
testcase_25	AC	15 ms 6,816 KB
testcase_26	AC	14 ms 6,816 KB
testcase_27	AC	14 ms 6,820 KB
testcase_28	AC	14 ms 6,820 KB
testcase_29	AC	15 ms 6,816 KB
testcase_30	AC	15 ms 6,816 KB
testcase_31	AC	14 ms 6,820 KB
testcase_32	AC	14 ms 6,816 KB
testcase_33	AC	16 ms 6,816 KB
testcase_34	AC	15 ms 6,820 KB
testcase_35	AC	16 ms 6,820 KB
testcase_36	AC	16 ms 6,820 KB
testcase_37	AC	16 ms 6,816 KB
testcase_38	AC	15 ms 6,820 KB
testcase_39	AC	2 ms 6,816 KB
testcase_40	AC	8 ms 6,816 KB
testcase_41	AC	4 ms 6,816 KB
testcase_42	AC	4 ms 6,820 KB
testcase_43	AC	12 ms 6,816 KB
testcase_44	AC	7 ms 6,816 KB
testcase_45	AC	4 ms 6,816 KB
testcase_46	AC	8 ms 6,820 KB
testcase_47	AC	11 ms 6,816 KB
testcase_48	AC	9 ms 6,820 KB
testcase_49	AC	14 ms 6,820 KB
testcase_50	AC	30 ms 6,820 KB
testcase_51	AC	30 ms 6,820 KB
testcase_52	AC	31 ms 6,820 KB
testcase_53	AC	30 ms 6,820 KB
testcase_54	AC	30 ms 6,816 KB
testcase_55	AC	32 ms 6,820 KB
testcase_56	AC	2 ms 6,816 KB
testcase_57	AC	2 ms 6,816 KB
testcase_58	AC	2 ms 6,816 KB
testcase_59	AC	2 ms 6,820 KB
testcase_60	AC	2 ms 6,816 KB
testcase_61	AC	2 ms 6,820 KB
testcase_62	AC	2 ms 6,816 KB
testcase_63	AC	1 ms 6,816 KB
testcase_64	AC	2 ms 6,816 KB
testcase_65	AC	2 ms 6,820 KB
testcase_66	AC	26 ms 6,816 KB
testcase_67	AC	17 ms 6,816 KB
testcase_68	AC	3 ms 6,820 KB
testcase_69	AC	29 ms 6,820 KB
testcase_70	AC	26 ms 6,820 KB

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ソースコード

raw source code

// >>> TEMPLATES
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
using i32 = int32_t;
using i64 = int64_t;
using u32 = uint32_t;
using u64 = uint64_t;
#define int ll
#define rep(i,n) for (int i = 0; i < (int)(n); i++)
#define rep1(i,n) for (int i = 1; i <= (int)(n); i++)
#define repR(i,n) for (int i = (int)(n)-1; i >= 0; i--)
#define rep1R(i,n) for (int i = (int)(n); i >= 1; i--)
#define loop(i,a,B) for (int i = a; i B; i++)
#define loopR(i,a,B) for (int i = a; i B; i--)
#define all(x) begin(x), end(x)
#define allR(x) rbegin(x), rend(x)
#define rng(x,l,r) begin(x) + (l), begin(x) + (r)
#define pb push_back
#define eb emplace_back
#define fst first
#define snd second
template <class A, class B> auto mp(A &&a, B &&b) { return make_pair(forward<A>(a), forward<B>(b)); }
template <class... T> auto mt(T&&... x) { return make_tuple(forward<T>(x)...); }
template <class Int> auto constexpr inf = numeric_limits<Int>::max()/2-1;
auto constexpr INF32 = inf<int32_t>;
auto constexpr INF64 = inf<int64_t>;
auto constexpr INF   = inf<int>;
#ifdef LOCAL
#include "debug.hpp"
#else
#define dump(...) (void)(0)
#define say(x) (void)(0)
#define debug if (0)
#endif
template <class T, class Comp> struct pque : priority_queue<T, vector<T>, Comp> {
    vector<T> &data() { return this->c; }
    void clear() { this->c.clear(); }
};
template <class T> using pque_max = pque<T, less<T>>;
template <class T> using pque_min = pque<T, greater<T>>;
template <class T, class = typename T::iterator, enable_if_t<!is_same<T, string>::value, int> = 0>
ostream& operator<<(ostream& os, T const& a) { bool f = true; for (auto const& x : a) os << (f ? "" : " ") << x, f = false; return os; }
template <class T, size_t N, enable_if_t<!is_same<T, char>::value, int> = 0>
ostream& operator<<(ostream& os, const T (&a)[N]) { bool f = true; for (auto const& x : a) os << (f ? "" : " ") << x, f = false; return os; }
template <class T, class = decltype(begin(declval<T&>())), class = typename enable_if<!is_same<T, string>::value>::type>
istream& operator>>(istream& is, T &a) { for (auto& x : a) is >> x; return is; }
template <class T, class S> ostream& operator<<(ostream& os, pair<T, S> const& p) { return os << p.first << " " << p.second; }
template <class T, class S> istream& operator>>(istream& is, pair<T, S>& p) { return is >> p.first >> p.second; }
struct IOSetup { IOSetup() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } } iosetup;
template <class F> struct FixPoint : private F {
    constexpr FixPoint(F&& f) : F(forward<F>(f)) {}
    template <class... T> constexpr auto operator()(T&&... x) const { return F::operator()(*this, forward<T>(x)...); }
};
struct MakeFixPoint { template <class F> constexpr auto operator|(F&& f) const { return FixPoint<F>(forward<F>(f)); } };
#define MFP MakeFixPoint()|
#define def(name, ...) auto name = MFP [&](auto &&name, __VA_ARGS__)
template <class T, size_t d> struct vec_impl {
    using type = vector<typename vec_impl<T,d-1>::type>;
    template <class... U> static type make_v(size_t n, U&&... x) { return type(n, vec_impl<T,d-1>::make_v(forward<U>(x)...)); }
};
template <class T> struct vec_impl<T,0> { using type = T; static type make_v(T const& x = {}) { return x; } };
template <class T, size_t d = 1> using vec = typename vec_impl<T,d>::type;
template <class T, size_t d = 1, class... Args> auto make_v(Args&&... args) { return vec_impl<T,d>::make_v(forward<Args>(args)...); }
template <class T> void quit(T const& x) { cout << x << endl; exit(0); }
template <class T, class U> constexpr bool chmin(T& x, U const& y) { if (x > y) { x = y; return true; } return false; }
template <class T, class U> constexpr bool chmax(T& x, U const& y) { if (x < y) { x = y; return true; } return false; }
template <class It> constexpr auto sumof(It b, It e) { return accumulate(b, e, typename iterator_traits<It>::value_type{}); }
template <class T> int sz(T const& x) { return x.size(); }
template <class C, class T> int lbd(C const& v, T const& x) { return lower_bound(begin(v), end(v), x)-begin(v); }
template <class C, class T> int ubd(C const& v, T const& x) { return upper_bound(begin(v), end(v), x)-begin(v); }
const int dx[] = { 1,0,-1,0,1,-1,-1,1 };
const int dy[] = { 0,1,0,-1,1,1,-1,-1 };
constexpr int popcnt(ll x) { return __builtin_popcountll(x); }
// [a,b]
template <class Int> Int rand(Int a, Int b) { static mt19937_64 mt{random_device{}()}; return uniform_int_distribution<Int>(a,b)(mt); }
i64 irand(i64 a, i64 b) { return rand<i64>(a,b); }
u64 urand(u64 a, u64 b) { return rand<u64>(a,b); }
template <class It> void shuffle(It l, It r) { shuffle(l, r, mt19937_64(random_device{}())); }
// <<<
// >>> modint

template <uint32_t md>
class modint {
    static_assert(md < (1u<<31), "");
    using M = modint;
    using i64 = int64_t;
    uint32_t x;
public:
    static constexpr uint32_t mod = md;
    constexpr modint(i64 x = 0) : x((x%=md) < 0 ? x+md : x) { }
    constexpr i64 val() const { return x; }
    constexpr explicit operator i64() const { return x; }
    constexpr bool operator==(M r) const { return x == r.x; }
    constexpr bool operator!=(M r) const { return x != r.x; }
    constexpr M operator+() const { return *this; }
    constexpr M operator-() const { return M()-*this; }
    constexpr M& operator+=(M r) { x += r.x; x = (x < md ? x : x-md); return *this; }
    constexpr M& operator-=(M r) { x += md-r.x; x = (x < md ? x : x-md); return *this; }
    constexpr M& operator*=(M r) { x = (uint64_t(x)*r.x)%md; return *this; }
    constexpr M& operator/=(M r) { return *this *= r.inv(); }
    constexpr M operator+(M r) const { return M(*this) += r; }
    constexpr M operator-(M r) const { return M(*this) -= r; }
    constexpr M operator*(M r) const { return M(*this) *= r; }
    constexpr M operator/(M r) const { return M(*this) /= r; }
    friend constexpr M operator+(i64 x, M y) { return M(x)+y; }
    friend constexpr M operator-(i64 x, M y) { return M(x)-y; }
    friend constexpr M operator*(i64 x, M y) { return M(x)*y; }
    friend constexpr M operator/(i64 x, M y) { return M(x)/y; }
    constexpr M inv() const { assert(x > 0); return pow(md-2); }
    constexpr M pow(i64 n) const {
        assert(not (x == 0 && n == 0));
        if (n < 0) return inv().pow(-n);
        M v = *this, r = 1;
        for (; n > 0; n >>= 1, v *= v) if (n&1) r *= v;
        return r;
    }
#ifdef LOCAL
    friend string to_s(M r) { return to_s(r.val(), mod); }
#endif
    friend ostream& operator<<(ostream& os, M r) { return os << r.val(); }
    friend istream& operator>>(istream& is, M &r) { i64 x; is >> x; r = x; return is; }
};

// <<<
//constexpr int64_t MOD = 998244353;
constexpr int64_t MOD = 1e9+7;
using mint = modint<MOD>;
mint sgn(int n) { return n%2 == 0 ? +1 : -1; }
// >>> mod table

template <uint32_t mod>
struct ModTable {
    vector<uint32_t> fact = {1,1}, finv = {1,1}, inv = {0,1};
    void calc(int n) {
        int old = fact.size();
        if (n < old) return;
        fact.resize(n+1);
        finv.resize(n+1);
        inv.resize(n+1);
        for (uint32_t i = old; i <= n; i++) {
            fact[i] = uint64_t(fact[i-1])*i % mod;
            inv[i] = mod - uint64_t(inv[mod%i])*(mod/i) % mod;
            finv[i] = uint64_t(finv[i-1])*inv[i] % mod;
        }
    }
};
ModTable<MOD> mod_tab;

modint<MOD> fact(int n) {
    assert(0 <= n);
    return mod_tab.calc(n), mod_tab.fact[n];
}
modint<MOD> finv(int n) {
    assert(0 <= n);
    return mod_tab.calc(n), mod_tab.finv[n];
}
modint<MOD> C(int n, int k) {
    if (n < 0 || k < 0 || n < k) return 0;
    return fact(n)*finv(k)*finv(n-k);
}
modint<MOD> P(int n, int k) {
    assert(k >= 0); assert(n >= k);
    return fact(n)*finv(n-k);
}

// <<<
constexpr int mul(int x, int y) {
    if (x == 0 || y == 0) return 0;
    int sgn = 1;
    if (x < 0) sgn = -sgn, x = -x;
    if (y < 0) sgn = -sgn, y = -y;
    int p = (x > INF/y ? INF : x*y);
    if (sgn < 0) p = -p;
    return p;
}
constexpr int add(int x, int y) {
    x = clamp(x, -INF, +INF);
    y = clamp(y, -INF, +INF);
    return clamp(x + y, -INF, +INF);
}
constexpr int ipow(int a, int b) {
    int p = 1;
    for ( ; b; b >>= 1, a = mul(a, a)) if (b & 1) p = mul(p, a);
    return p;
}
// >>> RLE

template <class Vec, class T = typename Vec::value_type>
vector<pair<T, int>> RLE(Vec const& v) {
    if (v.empty()) return {};
    vector<pair<T, int>> ret;
    int p = -1, n = v.size();
    rep (i, n) if (i == n-1 || v[i] != v[i+1]) {
        ret.emplace_back(v[i], i-p);
        p = i;
    }
    return ret;
}

// <<<

int32_t main() {
    int n; cin >> n;
    vector<int> a(n); cin >> a;

    int ones = 0;
    rep (_, 2) {
        while (a.size() and a.back() == 1) {
            ones++;
            a.pop_back();
        }
        reverse(all(a));
    }
    n = a.size();
    if (a.empty()) quit(ones);
    dump(n, a);

    if (accumulate(all(a), 1LL, mul) >= INF) {
        quit(accumulate(all(a), mint(1), multiplies<>()) + ones);
    }

    auto b = RLE(a);
    const int m = b.size();
    dump(b);

    vector<int> p(m+1, 1);
    rep (i, m) p[i+1] = p[i] * ipow(b[i].fst, b[i].snd);
    dump(p);

    vector<int> dp(m+1, -INF);
    dp[0] = 0;
    rep (i, m) {
        chmax(dp[i+1], dp[i] + b[i].fst*b[i].snd);
        rep1 (len, m-i) chmax(dp[i+len], dp[i] + p[i+len]/p[i]);
    }
    cout << mint(dp[m] + ones) << endl;

}

yukicoder

結果

テストケース

ソースコード