#802489 (C++17) No.2086 A+B問題

提出ソース
結果

問題	No.2086 A+B問題
ユーザー	r1933
提出日時	2022-09-30 21:26:14
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	2 ms / 2,000 ms
コード長	15,085 bytes
コンパイル時間	2,097 ms
コンパイル使用メモリ	214,156 KB
実行使用メモリ	6,944 KB
最終ジャッジ日時	2024-06-02 04:48:06
合計ジャッジ時間	2,777 ms
ジャッジサーバーID （参考情報）	judge3 / judge1
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 6,816 KB
testcase_01	AC	2 ms 6,944 KB
testcase_02	AC	2 ms 6,940 KB
testcase_03	AC	1 ms 6,944 KB
testcase_04	AC	2 ms 6,944 KB
testcase_05	AC	2 ms 6,940 KB
testcase_06	AC	1 ms 6,944 KB
testcase_07	AC	2 ms 6,940 KB
testcase_08	AC	2 ms 6,944 KB
testcase_09	AC	2 ms 6,944 KB
testcase_10	AC	2 ms 6,940 KB
testcase_11	AC	1 ms 6,940 KB
testcase_12	AC	2 ms 6,940 KB
testcase_13	AC	2 ms 6,940 KB
testcase_14	AC	1 ms 6,944 KB
testcase_15	AC	1 ms 6,940 KB
testcase_16	AC	2 ms 6,940 KB
testcase_17	AC	1 ms 6,944 KB
testcase_18	AC	2 ms 6,940 KB
testcase_19	AC	2 ms 6,940 KB
testcase_20	AC	1 ms 6,940 KB
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ソースコード

raw source code
#include "bits/stdc++.h"
#pragma GCC optimize("Ofast")

// Begin Header {{{
#pragma region
using namespace std;

#ifndef DEBUG
#define dump(...)
#endif

#define all(x) begin(x), end(x)
#define rall(x) rbegin(x), rend(x)
#define rep(i, b, e) for (intmax_t i = (b), i##_limit = (e); i < i##_limit; ++i)
#define repc(i, b, e) for (intmax_t i = (b), i##_limit = (e); i <= i##_limit; ++i)
#define repr(i, b, e) for (intmax_t i = (b), i##_limit = (e); i >= i##_limit; --i)
#define var(Type, ...) \
    Type __VA_ARGS__;  \
    input(__VA_ARGS__)
#define let const auto

constexpr size_t operator""_zu(unsigned long long value) {
    return value;
};
constexpr intmax_t operator""_jd(unsigned long long value) {
    return value;
};
constexpr uintmax_t operator""_ju(unsigned long long value) {
    return value;
};

constexpr int INF = 0x3f3f3f3f;
constexpr intmax_t LINF = 0x3f3f3f3f3f3f3f3f_jd;

using usize = size_t;
using imax = intmax_t;
using uimax = uintmax_t;
using ld = long double;

template <class T, class Compare = less<>>
using MaxHeap = priority_queue<T, vector<T>, Compare>;
template <class T, class Compare = greater<>>
using MinHeap = priority_queue<T, vector<T>, Compare>;

inline void input() {}
template <class Head, class... Tail>
inline void input(Head&& head, Tail&&... tail) {
    cin >> head;
    input(forward<Tail>(tail)...);
}

template <class Container, class Value = typename Container::value_type,
          enable_if_t<!is_same<Container, string>::value, nullptr_t> = nullptr>
inline istream& operator>>(istream& is, Container& vs) {
    for (auto& v: vs) is >> v;
    return is;
}

template <class T, class U>
inline istream& operator>>(istream& is, pair<T, U>& p) {
    is >> p.first >> p.second;
    return is;
}

inline void output() {
    cout << "\n";
}
template <class Head, class... Tail>
inline void output(Head&& head, Tail&&... tail) {
    cout << head;
    if (sizeof...(tail)) cout << " ";
    output(forward<Tail>(tail)...);
}

template <class Container, class Value = typename Container::value_type,
          enable_if_t<!is_same<Container, string>::value, nullptr_t> = nullptr>
inline ostream& operator<<(ostream& os, const Container& vs) {
    static constexpr const char* delim[] = {" ", ""};
    for (auto it = begin(vs); it != end(vs); ++it) {
        os << delim[it == begin(vs)] << *it;
    }
    return os;
}

template <class Iterator>
inline void join(const Iterator& Begin, const Iterator& End, const string& delim = "\n",
                 const string& last = "\n") {
    for (auto it = Begin; it != End; ++it) {
        cout << ((it == Begin) ? "" : delim) << *it;
    }
    cout << last;
}

template <class T>
inline vector<T> makeVector(const T& init_value, size_t sz) {
    return vector<T>(sz, init_value);
}

template <class T, class... Args>
inline auto makeVector(const T& init_value, size_t sz, Args... args) {
    return vector<decltype(makeVector<T>(init_value, args...))>(
        sz, makeVector<T>(init_value, args...));
}

template <class Func>
class FixPoint : Func {
public:
    explicit constexpr FixPoint(Func&& f) noexcept : Func(forward<Func>(f)) {}

    template <class... Args>
    constexpr decltype(auto) operator()(Args&&... args) const {
        return Func::operator()(*this, std::forward<Args>(args)...);
    }
};

template <class Func>
static inline constexpr decltype(auto) makeFixPoint(Func&& f) noexcept {
    return FixPoint<Func> {forward<Func>(f)};
}

template <class Container>
struct reverse_t {
    Container& c;
    reverse_t(Container& c) : c(c) {}
    auto begin() {
        return c.rbegin();
    }
    auto end() {
        return c.rend();
    }
};

template <class Container>
auto reversed(Container& c) {
    return reverse_t<Container>(c);
}

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

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

template <class T>
inline T diff(const T& a, const T& b) noexcept {
    return a < b ? b - a : a - b;
}

template <class T>
inline T sigma(const T& l, const T& r) noexcept {
    return (l + r) * (r - l + 1) / 2;
}

template <class T>
inline T ceildiv(const T& n, const T& d) noexcept {
    return (n + d - 1) / d;
}

void operator|=(vector<bool>::reference lhs, const bool rhs) {
    lhs = lhs | rhs;
}

void operator&=(vector<bool>::reference lhs, const bool rhs) {
    lhs = lhs & rhs;
}

void operator^=(vector<bool>::reference lhs, const bool rhs) {
    lhs = lhs ^ rhs;
}

void ioinit() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    cout << fixed << setprecision(10);
    cerr << fixed << setprecision(10);
    clog << fixed << setprecision(10);
}
#pragma endregion
// }}} End Header

// BigInt {{{
// base and base_digits must be consistent
const intmax_t base = 1000000000;
const int base_digits = 9;

struct BigInt {
    vector<intmax_t> ds;
    int sign;

    BigInt() : sign(1) {}

    BigInt(intmax_t v) {
        *this = v;
    }

    BigInt(const string& s) {
        read(s);
    }

    void operator=(const BigInt& v) {
        sign = v.sign;
        ds = v.ds;
    }

    void operator=(intmax_t v) {
        sign = 1;
        if (v < 0)
            sign = -1, v = -v;
        for (; v > 0; v = v / base)
            ds.push_back(v % base);
    }

    BigInt operator+(const BigInt& v) const {
        if (sign == v.sign) {
            BigInt res = v;

            for (int i = 0, carry = 0; i < (int) max(ds.size(), v.ds.size()) || carry; ++i) {
                if (i == (int) res.ds.size())
                    res.ds.push_back(0);
                res.ds[i] += carry + (i < (int) ds.size() ? ds[i] : 0);
                carry = res.ds[i] >= base;
                if (carry)
                    res.ds[i] -= base;
            }
            return res;
        }
        return *this - (-v);
    }

    BigInt operator-(const BigInt& v) const {
        if (sign == v.sign) {
            if (abs() >= v.abs()) {
                BigInt res = *this;
                for (int i = 0, carry = 0; i < (int) v.ds.size() || carry; ++i) {
                    res.ds[i] -= carry + (i < (int) v.ds.size() ? v.ds[i] : 0);
                    carry = res.ds[i] < 0;
                    if (carry)
                        res.ds[i] += base;
                }
                res.trim();
                return res;
            }
            return -(v - *this);
        }
        return *this + (-v);
    }

    void operator*=(intmax_t v) {
        if (v < 0)
            sign = -sign, v = -v;
        for (intmax_t i = 0, carry = 0; i < (intmax_t) ds.size() || carry; ++i) {
            if (i == (intmax_t) ds.size())
                ds.push_back(0);
            intmax_t cur = ds[i] * v + carry;
            carry = cur / base;
            ds[i] = cur % base;
        }
        trim();
    }

    BigInt operator*(intmax_t v) const {
        BigInt res = *this;
        res *= v;
        return res;
    }

    friend pair<BigInt, BigInt> divmod(const BigInt& a1, const BigInt& b1) {
        intmax_t norm = base / (b1.ds.back() + 1);
        BigInt a = a1.abs() * norm;
        BigInt b = b1.abs() * norm;
        BigInt q, r;
        q.ds.resize(a.ds.size());

        for (int i = a.ds.size() - 1; i >= 0; i--) {
            r *= base;
            r += a.ds[i];
            intmax_t s1 = r.ds.size() <= b.ds.size() ? 0 : r.ds[b.ds.size()];
            intmax_t s2 = r.ds.size() <= b.ds.size() - 1 ? 0 : r.ds[b.ds.size() - 1];
            intmax_t d = (base * s1 + s2) / b.ds.back();
            r -= b * d;
            while (r < BigInt(0))
                r += b, --d;
            q.ds[i] = d;
        }

        q.sign = a1.sign * b1.sign;
        r.sign = a1.sign;
        q.trim();
        r.trim();
        return make_pair(q, r / norm);
    }

    BigInt operator/(const BigInt& v) const {
        return divmod(*this, v).first;
    }

    BigInt operator%(const BigInt& v) const {
        return divmod(*this, v).second;
    }

    void operator/=(intmax_t v) {
        if (v < 0)
            sign = -sign, v = -v;
        for (intmax_t i = (intmax_t) ds.size() - 1, rem = 0; i >= 0; --i) {
            intmax_t cur = ds[i] + rem * base;
            ds[i] = cur / v;
            rem = cur % v;
        }
        trim();
    }

    BigInt operator/(intmax_t v) const {
        BigInt res = *this;
        res /= v;
        return res;
    }

    int operator%(intmax_t v) const {
        if (v < 0)
            v = -v;
        intmax_t m = 0;
        for (int i = ds.size() - 1; i >= 0; --i)
            m = (ds[i] + m * base) % v;
        return m * sign;
    }

    void operator+=(const BigInt& v) {
        *this = *this + v;
    }
    void operator-=(const BigInt& v) {
        *this = *this - v;
    }
    void operator*=(const BigInt& v) {
        *this = *this * v;
    }
    void operator/=(const BigInt& v) {
        *this = *this / v;
    }

    bool operator<(const BigInt& v) const {
        if (sign != v.sign)
            return sign < v.sign;
        if (ds.size() != v.ds.size())
            return ds.size() * sign < v.ds.size() * v.sign;
        for (int i = ds.size() - 1; i >= 0; i--)
            if (ds[i] != v.ds[i])
                return ds[i] * sign < v.ds[i] * sign;
        return false;
    }

    bool operator>(const BigInt& v) const {
        return v < *this;
    }
    bool operator<=(const BigInt& v) const {
        return !(v < *this);
    }
    bool operator>=(const BigInt& v) const {
        return !(*this < v);
    }
    bool operator==(const BigInt& v) const {
        return !(*this < v) && !(v < *this);
    }
    bool operator!=(const BigInt& v) const {
        return *this < v || v < *this;
    }

    void trim() {
        while (!ds.empty() && !ds.back())
            ds.pop_back();
        if (ds.empty())
            sign = 1;
    }

    bool is_zero() const {
        return ds.empty() || (ds.size() == 1 && !ds[0]);
    }

    BigInt operator-() const {
        BigInt res = *this;
        res.sign = -sign;
        return res;
    }

    BigInt abs() const {
        BigInt res = *this;
        res.sign *= res.sign;
        return res;
    }

    friend string to_string(const BigInt& v) {
        stringstream ss;
        if (v.sign == -1)
            ss << '-';
        ss << (v.ds.empty() ? 0 : v.ds.back());
        for (int i = (int) v.ds.size() - 2; i >= 0; --i)
            ss << setw(base_digits) << setfill('0') << v.ds[i];
        return ss.str();
    }

    template <typename Tp>
        operator Tp() const {
            Tp res = 0;
            for (int i = ds.size() - 1; i >= 0; i--)
                res = res * base + ds[i];
            return res * sign;
        }

    friend BigInt gcd(const BigInt& a, const BigInt& b) {
        return b.is_zero() ? a : gcd(b, a % b);
    }
    friend BigInt lcm(const BigInt& a, const BigInt& b) {
        return a / gcd(a, b) * b;
    }

    void read(const string& s) {
        sign = 1;
        ds.clear();
        int pos = 0;
        while (pos < (int) s.size() && (s[pos] == '-' || s[pos] == '+')) {
            if (s[pos] == '-')
                sign = -sign;
            ++pos;
        }
        for (int i = s.size() - 1; i >= pos; i -= base_digits) {
            int x = 0;
            for (int j = max(pos, i - base_digits + 1); j <= i; j++)
                x = x * 10 + s[j] - '0';
            ds.push_back(x);
        }
        trim();
    }

    friend istream& operator>>(istream& stream, BigInt& v) {
        string s;
        stream >> s;
        v.read(s);
        return stream;
    }

    friend ostream& operator<<(ostream& stream, const BigInt& v) {
        if (v.sign == -1)
            stream << '-';
        stream << (v.ds.empty() ? 0 : v.ds.back());
        for (int i = (int) v.ds.size() - 2; i >= 0; --i)
            stream << setw(base_digits) << setfill('0') << v.ds[i];
        return stream;
    }

    static vector<intmax_t> convert_base(const vector<intmax_t>& a, int old_digits, int new_digits) {
        vector<intmax_t> p(max(old_digits, new_digits) + 1);
        p[0] = 1;
        for (int i = 1; i < (int) p.size(); i++)
            p[i] = p[i - 1] * 10;
        vector<intmax_t> res;
        intmax_t cur = 0;
        int cur_digits = 0;
        for (int i = 0; i < (int) a.size(); i++) {
            cur += a[i] * p[cur_digits];
            cur_digits += old_digits;
            while (cur_digits >= new_digits) {
                res.push_back(cur % p[new_digits]);
                cur /= p[new_digits];
                cur_digits -= new_digits;
            }
        }
        res.push_back(cur);
        while (!res.empty() && !res.back())
            res.pop_back();
        return res;
    }

    static vector<intmax_t> karatsuba_multiply(const vector<intmax_t>& a, const vector<intmax_t>& b) {
        int n = a.size();
        vector<intmax_t> res(n + n);
        if (n <= 32) {
            for (int i = 0; i < n; i++)
                for (int j = 0; j < n; j++)
                    res[i + j] += a[i] * b[j];
            return res;
        }

        int k = n >> 1;
        vector<intmax_t> a1(a.begin(), a.begin() + k);
        vector<intmax_t> a2(a.begin() + k, a.end());
        vector<intmax_t> b1(b.begin(), b.begin() + k);
        vector<intmax_t> b2(b.begin() + k, b.end());

        vector<intmax_t> a1b1 = karatsuba_multiply(a1, b1);
        vector<intmax_t> a2b2 = karatsuba_multiply(a2, b2);

        for (int i = 0; i < k; i++)
            a2[i] += a1[i];
        for (int i = 0; i < k; i++)
            b2[i] += b1[i];

        vector<intmax_t> r = karatsuba_multiply(a2, b2);
        for (int i = 0; i < (int) a1b1.size(); i++)
            r[i] -= a1b1[i];
        for (int i = 0; i < (int) a2b2.size(); i++)
            r[i] -= a2b2[i];

        for (int i = 0; i < (int) r.size(); i++)
            res[i + k] += r[i];
        for (int i = 0; i < (int) a1b1.size(); i++)
            res[i] += a1b1[i];
        for (int i = 0; i < (int) a2b2.size(); i++)
            res[i + n] += a2b2[i];
        return res;
    }

    BigInt operator*(const BigInt& v) const {
        vector<intmax_t> a6 = convert_base(this->ds, base_digits, 6);
        vector<intmax_t> b6 = convert_base(v.ds, base_digits, 6);
        vector<intmax_t> a(a6.begin(), a6.end());
        vector<intmax_t> b(b6.begin(), b6.end());
        while (a.size() < b.size())
            a.push_back(0);
        while (b.size() < a.size())
            b.push_back(0);
        while (a.size() & (a.size() - 1))
            a.push_back(0), b.push_back(0);
        vector<intmax_t> c = karatsuba_multiply(a, b);
        BigInt res;
        res.sign = sign * v.sign;
        for (intmax_t i = 0, carry = 0; i < (intmax_t) c.size(); i++) {
            intmax_t cur = c[i] + carry;
            res.ds.push_back(cur % 1000000);
            carry = cur / 1000000;
        }
        res.ds = convert_base(res.ds, 6, base_digits);
        res.trim();
        return res;
    }
};
// }}}

int main() {
    ioinit();

    var(BigInt, A, B);
    output(A + B);
    return 0;
}
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結果

テストケース

ソースコード
