제출 #1048663

#제출 시각아이디문제언어결과실행 시간메모리
1048663amine_arouaParrots (IOI11_parrots)C++17
98 / 100
305 ms1500 KiB
#include "encoder.h"
#include "encoderlib.h"
#include<bits/stdc++.h>
using namespace std;
// base and base_digits must be consistent
constexpr int base = 1000000000;
constexpr int base_digits = 9;
 
struct bigint {
    // value == 0 is represented by empty z
    vector<int> z; // digits
 
    // sign == 1 <==> value >= 0
    // sign == -1 <==> value < 0
    int sign;
 
    bigint() : sign(1) {
    }
 
    bigint(long long v) {
        *this = v;
    }
 
    bigint &operator=(long long v) {
        sign = v < 0 ? -1 : 1;
        v *= sign;
        z.clear();
        for (; v > 0; v = v / base)
            z.push_back((int) (v % base));
        return *this;
    }
 
    bigint(const string &s) {
        read(s);
    }
 
    bigint &operator+=(const bigint &other) {
        if (sign == other.sign) {
            for (int i = 0, carry = 0; i < other.z.size() || carry; ++i) {
                if (i == z.size())
                    z.push_back(0);
                z[i] += carry + (i < other.z.size() ? other.z[i] : 0);
                carry = z[i] >= base;
                if (carry)
                    z[i] -= base;
            }
        } else if (other != 0 /* prevent infinite loop */) {
            *this -= -other;
        }
        return *this;
    }
 
    friend bigint operator+(bigint a, const bigint &b) {
        return a += b;
    }
 
    bigint &operator-=(const bigint &other) {
        if (sign == other.sign) {
            if (sign == 1 && *this >= other || sign == -1 && *this <= other) {
                for (int i = 0, carry = 0; i < other.z.size() || carry; ++i) {
                    z[i] -= carry + (i < other.z.size() ? other.z[i] : 0);
                    carry = z[i] < 0;
                    if (carry)
                        z[i] += base;
                }
                trim();
            } else {
                *this = other - *this;
                this->sign = -this->sign;
            }
        } else {
            *this += -other;
        }
        return *this;
    }
 
    friend bigint
 
    operator-(bigint a, const bigint &b) {
        return a -= b;
    }
 
    bigint &operator*=(int v) {
        if (v < 0)
            sign = -sign, v = -v;
        for (int i = 0, carry = 0; i < z.size() || carry; ++i) {
            if (i == z.size())
                z.push_back(0);
            long long cur = (long long) z[i] * v + carry;
            carry = (int) (cur / base);
            z[i] = (int) (cur % base);
        }
        trim();
        return *this;
    }
 
    bigint operator*(int v) const {
        return bigint(*this) *= v;
    }
 
    friend pair<bigint, bigint> divmod(const bigint &a1, const bigint &b1) {
        int norm = base / (b1.z.back() + 1);
        bigint a = a1.abs() * norm;
        bigint b = b1.abs() * norm;
        bigint q, r;
        q.z.resize(a.z.size());
 
        for (int i = (int) a.z.size() - 1; i >= 0; i--) {
            r *= base;
            r += a.z[i];
            int s1 = b.z.size() < r.z.size() ? r.z[b.z.size()] : 0;
            int s2 = b.z.size() - 1 < r.z.size() ? r.z[b.z.size() - 1] : 0;
            int d = (int) (((long long) s1 * base + s2) / b.z.back());
            r -= b * d;
            while (r < 0)
                r += b, --d;
            q.z[i] = d;
        }
 
        q.sign = a1.sign * b1.sign;
        r.sign = a1.sign;
        q.trim();
        r.trim();
        return {q, r / norm};
    }
 
    friend bigint sqrt(const bigint &a1) {
        bigint a = a1;
        while (a.z.empty() || a.z.size() % 2 == 1)
            a.z.push_back(0);
 
        int n = a.z.size();
 
        int firstDigit = (int) ::sqrt((double) a.z[n - 1] * base + a.z[n - 2]);
        int norm = base / (firstDigit + 1);
        a *= norm;
        a *= norm;
        while (a.z.empty() || a.z.size() % 2 == 1)
            a.z.push_back(0);
 
        bigint r = (long long) a.z[n - 1] * base + a.z[n - 2];
        firstDigit = (int) ::sqrt((double) a.z[n - 1] * base + a.z[n - 2]);
        int q = firstDigit;
        bigint res;
 
        for (int j = n / 2 - 1; j >= 0; j--) {
            for (;; --q) {
                bigint r1 = (r - (res * 2 * base + q) * q) * base * base +
                            (j > 0 ? (long long) a.z[2 * j - 1] * base + a.z[2 * j - 2] : 0);
                if (r1 >= 0) {
                    r = r1;
                    break;
                }
            }
            res *= base;
            res += q;
 
            if (j > 0) {
                int d1 = res.z.size() + 2 < r.z.size() ? r.z[res.z.size() + 2] : 0;
                int d2 = res.z.size() + 1 < r.z.size() ? r.z[res.z.size() + 1] : 0;
                int d3 = res.z.size() < r.z.size() ? r.z[res.z.size()] : 0;
                q = (int) (((long long) d1 * base * base + (long long) d2 * base + d3) / (firstDigit * 2));
            }
        }
 
        res.trim();
        return res / norm;
    }
 
    bigint operator/(const bigint &v) const {
        return divmod(*this, v).first;
    }
 
    bigint operator%(const bigint &v) const {
        return divmod(*this, v).second;
    }
 
    bigint &operator/=(int v) {
        if (v < 0)
            sign = -sign, v = -v;
        for (int i = (int) z.size() - 1, rem = 0; i >= 0; --i) {
            long long cur = z[i] + rem * (long long) base;
            z[i] = (int) (cur / v);
            rem = (int) (cur % v);
        }
        trim();
        return *this;
    }
 
    bigint operator/(int v) const {
        return bigint(*this) /= v;
    }
 
    int operator%(int v) const {
        if (v < 0)
            v = -v;
        int m = 0;
        for (int i = (int) z.size() - 1; i >= 0; --i)
            m = (int) ((z[i] + m * (long long) base) % v);
        return m * sign;
    }
 
    bigint &operator*=(const bigint &v) {
        *this = *this * v;
        return *this;
    }
 
    bigint &operator/=(const bigint &v) {
        *this = *this / v;
        return *this;
    }
 
    bool operator<(const bigint &v) const {
        if (sign != v.sign)
            return sign < v.sign;
        if (z.size() != v.z.size())
            return z.size() * sign < v.z.size() * v.sign;
        for (int i = (int) z.size() - 1; i >= 0; i--)
            if (z[i] != v.z[i])
                return z[i] * sign < v.z[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 (!z.empty() && z.back() == 0)
            z.pop_back();
        if (z.empty())
            sign = 1;
    }
 
    bool isZero() const {
        return z.empty();
    }
 
    friend bigint operator-(bigint v) {
        if (!v.z.empty())
            v.sign = -v.sign;
        return v;
    }
 
    bigint abs() const {
        return sign == 1 ? *this : -*this;
    }
 
    long long longValue() const {
        long long res = 0;
        for (int i = (int) z.size() - 1; i >= 0; i--)
            res = res * base + z[i];
        return res * sign;
    }
 
    friend bigint gcd(const bigint &a, const bigint &b) {
        return b.isZero() ? 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;
        z.clear();
        int pos = 0;
        while (pos < s.size() && (s[pos] == '-' || s[pos] == '+')) {
            if (s[pos] == '-')
                sign = -sign;
            ++pos;
        }
        for (int i = (int) 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';
            z.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.z.empty() ? 0 : v.z.back());
        for (int i = (int) v.z.size() - 2; i >= 0; --i)
            stream << setw(base_digits) << setfill('0') << v.z[i];
        return stream;
    }
 
    static vector<int> convert_base(const vector<int> &a, int old_digits, int new_digits) {
        vector<long long> p(max(old_digits, new_digits) + 1);
        p[0] = 1;
        for (int i = 1; i < p.size(); i++)
            p[i] = p[i - 1] * 10;
        vector<int> res;
        long long cur = 0;
        int cur_digits = 0;
        for (int v : a) {
            cur += v * p[cur_digits];
            cur_digits += old_digits;
            while (cur_digits >= new_digits) {
                res.push_back(int(cur % p[new_digits]));
                cur /= p[new_digits];
                cur_digits -= new_digits;
            }
        }
        res.push_back((int) cur);
        while (!res.empty() && res.back() == 0)
            res.pop_back();
        return res;
    }
 
    typedef vector<long long> vll;
 
    static vll karatsubaMultiply(const vll &a, const vll &b) {
        int n = a.size();
        vll 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;
        vll a1(a.begin(), a.begin() + k);
        vll a2(a.begin() + k, a.end());
        vll b1(b.begin(), b.begin() + k);
        vll b2(b.begin() + k, b.end());
 
        vll a1b1 = karatsubaMultiply(a1, b1);
        vll a2b2 = karatsubaMultiply(a2, b2);
 
        for (int i = 0; i < k; i++)
            a2[i] += a1[i];
        for (int i = 0; i < k; i++)
            b2[i] += b1[i];
 
        vll r = karatsubaMultiply(a2, b2);
        for (int i = 0; i < a1b1.size(); i++)
            r[i] -= a1b1[i];
        for (int i = 0; i < a2b2.size(); i++)
            r[i] -= a2b2[i];
 
        for (int i = 0; i < r.size(); i++)
            res[i + k] += r[i];
        for (int i = 0; i < a1b1.size(); i++)
            res[i] += a1b1[i];
        for (int i = 0; i < a2b2.size(); i++)
            res[i + n] += a2b2[i];
        return res;
    }
 
    bigint operator*(const bigint &v) const {
        vector<int> a6 = convert_base(this->z, base_digits, 6);
        vector<int> b6 = convert_base(v.z, base_digits, 6);
        vll a(a6.begin(), a6.end());
        vll 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);
        vll c = karatsubaMultiply(a, b);
        bigint res;
        res.sign = sign * v.sign;
        for (int i = 0, carry = 0; i < c.size(); i++) {
            long long cur = c[i] + carry;
            res.z.push_back((int) (cur % 1000000));
            carry = (int) (cur / 1000000);
        }
        res.z = convert_base(res.z, 6, base_digits);
        res.trim();
        return res;
    }
 
};
#define ll bigint
const int MAXN = 64;
ll fact[MAXN + 1];
void calc_fact()
{
    fact[0] = 1;
    for(int i = 1 ; i <= MAXN ; i++)
    {
        fact[i] = fact[i - 1] * (ll)i;
    }
}
ll find_code(int n , vector<int> perm)
{
    calc_fact();
    ll code = 0;
    for(int i = 0 ; i <n ;i++)
    {
        ll smaller = 0;
        for(int j = i + 1; j < n ;j++)
        {
            smaller+=(perm[j] < perm[i]);
        }
        code+=fact[n - i - 1] * smaller;
    }
    return code;
}
void encode(int N, int M[])
{
    map<int , int> compress;
    vector<int> cur;
    int mx = 2;
    if(N > 57)
        mx = 3;
    for(int i = 0 ;i < N ; i++)
    {
        cur.push_back(M[i]);
        for(int j = 0 ; j < mx ; j++)
            send(M[i]);
    }
    sort(cur.begin() , cur.end());
    for(int i = 0 ; i < N ; i++)
    {
        compress[cur[i]] = i;
    }
    vector<int> perm(N);
    for(int i = 0 ; i < N ; i++)
    {
        perm[i] = compress[M[i]];
    }
    ll code = find_code(N , perm);
    int cnt = 0;
    while(code > 0)
    {
        int r = (code%mx);
        while(r--)
        {
            send(cnt);
        }
        cnt++;
        code/=(ll)mx;
    }
}
#include "decoder.h"
#include "decoderlib.h"
#include<bits/stdc++.h>
using namespace std;
 
// base and base_digits must be consistent
constexpr int base = 1000000000;
constexpr int base_digits = 9;
 
struct bigint {
    // value == 0 is represented by empty z
    vector<int> z; // digits
 
    // sign == 1 <==> value >= 0
    // sign == -1 <==> value < 0
    int sign;
 
    bigint() : sign(1) {
    }
 
    bigint(long long v) {
        *this = v;
    }
 
    bigint &operator=(long long v) {
        sign = v < 0 ? -1 : 1;
        v *= sign;
        z.clear();
        for (; v > 0; v = v / base)
            z.push_back((int) (v % base));
        return *this;
    }
 
    bigint(const string &s) {
        read(s);
    }
 
    bigint &operator+=(const bigint &other) {
        if (sign == other.sign) {
            for (int i = 0, carry = 0; i < other.z.size() || carry; ++i) {
                if (i == z.size())
                    z.push_back(0);
                z[i] += carry + (i < other.z.size() ? other.z[i] : 0);
                carry = z[i] >= base;
                if (carry)
                    z[i] -= base;
            }
        } else if (other != 0 /* prevent infinite loop */) {
            *this -= -other;
        }
        return *this;
    }
 
    friend bigint operator+(bigint a, const bigint &b) {
        return a += b;
    }
 
    bigint &operator-=(const bigint &other) {
        if (sign == other.sign) {
            if (sign == 1 && *this >= other || sign == -1 && *this <= other) {
                for (int i = 0, carry = 0; i < other.z.size() || carry; ++i) {
                    z[i] -= carry + (i < other.z.size() ? other.z[i] : 0);
                    carry = z[i] < 0;
                    if (carry)
                        z[i] += base;
                }
                trim();
            } else {
                *this = other - *this;
                this->sign = -this->sign;
            }
        } else {
            *this += -other;
        }
        return *this;
    }
 
    friend bigint
 
    operator-(bigint a, const bigint &b) {
        return a -= b;
    }
 
    bigint &operator*=(int v) {
        if (v < 0)
            sign = -sign, v = -v;
        for (int i = 0, carry = 0; i < z.size() || carry; ++i) {
            if (i == z.size())
                z.push_back(0);
            long long cur = (long long) z[i] * v + carry;
            carry = (int) (cur / base);
            z[i] = (int) (cur % base);
        }
        trim();
        return *this;
    }
 
    bigint operator*(int v) const {
        return bigint(*this) *= v;
    }
 
    friend pair<bigint, bigint> divmod(const bigint &a1, const bigint &b1) {
        int norm = base / (b1.z.back() + 1);
        bigint a = a1.abs() * norm;
        bigint b = b1.abs() * norm;
        bigint q, r;
        q.z.resize(a.z.size());
 
        for (int i = (int) a.z.size() - 1; i >= 0; i--) {
            r *= base;
            r += a.z[i];
            int s1 = b.z.size() < r.z.size() ? r.z[b.z.size()] : 0;
            int s2 = b.z.size() - 1 < r.z.size() ? r.z[b.z.size() - 1] : 0;
            int d = (int) (((long long) s1 * base + s2) / b.z.back());
            r -= b * d;
            while (r < 0)
                r += b, --d;
            q.z[i] = d;
        }
 
        q.sign = a1.sign * b1.sign;
        r.sign = a1.sign;
        q.trim();
        r.trim();
        return {q, r / norm};
    }
 
    friend bigint sqrt(const bigint &a1) {
        bigint a = a1;
        while (a.z.empty() || a.z.size() % 2 == 1)
            a.z.push_back(0);
 
        int n = a.z.size();
 
        int firstDigit = (int) ::sqrt((double) a.z[n - 1] * base + a.z[n - 2]);
        int norm = base / (firstDigit + 1);
        a *= norm;
        a *= norm;
        while (a.z.empty() || a.z.size() % 2 == 1)
            a.z.push_back(0);
 
        bigint r = (long long) a.z[n - 1] * base + a.z[n - 2];
        firstDigit = (int) ::sqrt((double) a.z[n - 1] * base + a.z[n - 2]);
        int q = firstDigit;
        bigint res;
 
        for (int j = n / 2 - 1; j >= 0; j--) {
            for (;; --q) {
                bigint r1 = (r - (res * 2 * base + q) * q) * base * base +
                            (j > 0 ? (long long) a.z[2 * j - 1] * base + a.z[2 * j - 2] : 0);
                if (r1 >= 0) {
                    r = r1;
                    break;
                }
            }
            res *= base;
            res += q;
 
            if (j > 0) {
                int d1 = res.z.size() + 2 < r.z.size() ? r.z[res.z.size() + 2] : 0;
                int d2 = res.z.size() + 1 < r.z.size() ? r.z[res.z.size() + 1] : 0;
                int d3 = res.z.size() < r.z.size() ? r.z[res.z.size()] : 0;
                q = (int) (((long long) d1 * base * base + (long long) d2 * base + d3) / (firstDigit * 2));
            }
        }
 
        res.trim();
        return res / norm;
    }
 
    bigint operator/(const bigint &v) const {
        return divmod(*this, v).first;
    }
 
    bigint operator%(const bigint &v) const {
        return divmod(*this, v).second;
    }
 
    bigint &operator/=(int v) {
        if (v < 0)
            sign = -sign, v = -v;
        for (int i = (int) z.size() - 1, rem = 0; i >= 0; --i) {
            long long cur = z[i] + rem * (long long) base;
            z[i] = (int) (cur / v);
            rem = (int) (cur % v);
        }
        trim();
        return *this;
    }
 
    bigint operator/(int v) const {
        return bigint(*this) /= v;
    }
 
    int operator%(int v) const {
        if (v < 0)
            v = -v;
        int m = 0;
        for (int i = (int) z.size() - 1; i >= 0; --i)
            m = (int) ((z[i] + m * (long long) base) % v);
        return m * sign;
    }
 
    bigint &operator*=(const bigint &v) {
        *this = *this * v;
        return *this;
    }
 
    bigint &operator/=(const bigint &v) {
        *this = *this / v;
        return *this;
    }
 
    bool operator<(const bigint &v) const {
        if (sign != v.sign)
            return sign < v.sign;
        if (z.size() != v.z.size())
            return z.size() * sign < v.z.size() * v.sign;
        for (int i = (int) z.size() - 1; i >= 0; i--)
            if (z[i] != v.z[i])
                return z[i] * sign < v.z[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 (!z.empty() && z.back() == 0)
            z.pop_back();
        if (z.empty())
            sign = 1;
    }
 
    bool isZero() const {
        return z.empty();
    }
 
    friend bigint operator-(bigint v) {
        if (!v.z.empty())
            v.sign = -v.sign;
        return v;
    }
 
    bigint abs() const {
        return sign == 1 ? *this : -*this;
    }
 
    long long longValue() const {
        long long res = 0;
        for (int i = (int) z.size() - 1; i >= 0; i--)
            res = res * base + z[i];
        return res * sign;
    }
 
    friend bigint gcd(const bigint &a, const bigint &b) {
        return b.isZero() ? 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;
        z.clear();
        int pos = 0;
        while (pos < s.size() && (s[pos] == '-' || s[pos] == '+')) {
            if (s[pos] == '-')
                sign = -sign;
            ++pos;
        }
        for (int i = (int) 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';
            z.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.z.empty() ? 0 : v.z.back());
        for (int i = (int) v.z.size() - 2; i >= 0; --i)
            stream << setw(base_digits) << setfill('0') << v.z[i];
        return stream;
    }
 
    static vector<int> convert_base(const vector<int> &a, int old_digits, int new_digits) {
        vector<long long> p(max(old_digits, new_digits) + 1);
        p[0] = 1;
        for (int i = 1; i < p.size(); i++)
            p[i] = p[i - 1] * 10;
        vector<int> res;
        long long cur = 0;
        int cur_digits = 0;
        for (int v : a) {
            cur += v * p[cur_digits];
            cur_digits += old_digits;
            while (cur_digits >= new_digits) {
                res.push_back(int(cur % p[new_digits]));
                cur /= p[new_digits];
                cur_digits -= new_digits;
            }
        }
        res.push_back((int) cur);
        while (!res.empty() && res.back() == 0)
            res.pop_back();
        return res;
    }
 
    typedef vector<long long> vll;
 
    static vll karatsubaMultiply(const vll &a, const vll &b) {
        int n = a.size();
        vll 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;
        vll a1(a.begin(), a.begin() + k);
        vll a2(a.begin() + k, a.end());
        vll b1(b.begin(), b.begin() + k);
        vll b2(b.begin() + k, b.end());
 
        vll a1b1 = karatsubaMultiply(a1, b1);
        vll a2b2 = karatsubaMultiply(a2, b2);
 
        for (int i = 0; i < k; i++)
            a2[i] += a1[i];
        for (int i = 0; i < k; i++)
            b2[i] += b1[i];
 
        vll r = karatsubaMultiply(a2, b2);
        for (int i = 0; i < a1b1.size(); i++)
            r[i] -= a1b1[i];
        for (int i = 0; i < a2b2.size(); i++)
            r[i] -= a2b2[i];
 
        for (int i = 0; i < r.size(); i++)
            res[i + k] += r[i];
        for (int i = 0; i < a1b1.size(); i++)
            res[i] += a1b1[i];
        for (int i = 0; i < a2b2.size(); i++)
            res[i + n] += a2b2[i];
        return res;
    }
 
    bigint operator*(const bigint &v) const {
        vector<int> a6 = convert_base(this->z, base_digits, 6);
        vector<int> b6 = convert_base(v.z, base_digits, 6);
        vll a(a6.begin(), a6.end());
        vll 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);
        vll c = karatsubaMultiply(a, b);
        bigint res;
        res.sign = sign * v.sign;
        for (int i = 0, carry = 0; i < c.size(); i++) {
            long long cur = c[i] + carry;
            res.z.push_back((int) (cur % 1000000));
            carry = (int) (cur / 1000000);
        }
        res.z = convert_base(res.z, 6, base_digits);
        res.trim();
        return res;
    }
 
};
#define ll bigint
const int MAXN = 64;
ll fact[MAXN + 1];
void calc_fact()
{
    fact[0] = 1;
    for(int i = 1 ; i <= MAXN ; i++)
    {
        fact[i] = fact[i - 1] * (ll)i;
    }
}
vector<int> find_perm(int n , ll code)
{
    calc_fact();
    vector<int> nums;
    for(int i = 0 ; i < n ; i++)
    {
        nums.push_back(i);   
    }
    vector<int> perm;
    for(int i = 1 ; i <= n; i++)
    {
        int idx = (code / fact[n - i]) % n;
        
        perm.push_back(nums[idx]);
        nums.erase(nums.begin() + idx);
        code-=(ll)idx * fact[n - i];
    }
    return perm;
}
void decode(int N, int L, int X[])
{
    vector<int> vals;
    map<int ,int> occ;
    for(int i = 0 ; i < L ; i++)
    {
        occ[X[i]]++;
    }
    int mx = 2;
    if(N > 57)
    {
        mx = 3;
    }
    for(int i = 0 ; i  < L ; i++)
    {
        if(occ[X[i]] >= mx)
        {
            vals.push_back(X[i]);
            occ[X[i]]-=mx;
        }
    }
    sort(vals.begin(),  vals.end());
    ll code = 0;
    for(auto p : occ)
    {
        if(p.second > 0)
        {
            int x = p.first;
            int nb = p.second;
            ll pw = 1;
            for(int i = 0 ;i < x; i++)
                pw*=(ll)mx;
            code+= (ll)nb * pw;
        }
    }
    vector<int> perm = find_perm(N , code);
    for(auto &x : perm)
    {
        output(vals[x]);
    }
}

컴파일 시 표준 에러 (stderr) 메시지

encoder.cpp: In member function 'bigint& bigint::operator+=(const bigint&)':
encoder.cpp:39:42: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   39 |             for (int i = 0, carry = 0; i < other.z.size() || carry; ++i) {
      |                                        ~~^~~~~~~~~~~~~~~~
encoder.cpp:40:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   40 |                 if (i == z.size())
      |                     ~~^~~~~~~~~~~
encoder.cpp:42:36: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   42 |                 z[i] += carry + (i < other.z.size() ? other.z[i] : 0);
      |                                  ~~^~~~~~~~~~~~~~~~
encoder.cpp: In member function 'bigint& bigint::operator-=(const bigint&)':
encoder.cpp:59:27: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
   59 |             if (sign == 1 && *this >= other || sign == -1 && *this <= other) {
      |                 ~~~~~~~~~~^~~~~~~~~~~~~~~~~
encoder.cpp:60:46: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   60 |                 for (int i = 0, carry = 0; i < other.z.size() || carry; ++i) {
      |                                            ~~^~~~~~~~~~~~~~~~
encoder.cpp:61:40: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   61 |                     z[i] -= carry + (i < other.z.size() ? other.z[i] : 0);
      |                                      ~~^~~~~~~~~~~~~~~~
encoder.cpp: In member function 'bigint& bigint::operator*=(int)':
encoder.cpp:86:38: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   86 |         for (int i = 0, carry = 0; i < z.size() || carry; ++i) {
      |                                    ~~^~~~~~~~~~
encoder.cpp:87:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   87 |             if (i == z.size())
      |                 ~~^~~~~~~~~~~
encoder.cpp: In member function 'void bigint::read(const string&)':
encoder.cpp:284:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  284 |         while (pos < s.size() && (s[pos] == '-' || s[pos] == '+')) {
      |                ~~~~^~~~~~~~~~
encoder.cpp: In static member function 'static std::vector<int> bigint::convert_base(const std::vector<int>&, int, int)':
encoder.cpp:317:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  317 |         for (int i = 1; i < p.size(); i++)
      |                         ~~^~~~~~~~~~
encoder.cpp: In static member function 'static bigint::vll bigint::karatsubaMultiply(const vll&, const vll&)':
encoder.cpp:364:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  364 |         for (int i = 0; i < a1b1.size(); i++)
      |                         ~~^~~~~~~~~~~~~
encoder.cpp:366:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  366 |         for (int i = 0; i < a2b2.size(); i++)
      |                         ~~^~~~~~~~~~~~~
encoder.cpp:369:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  369 |         for (int i = 0; i < r.size(); i++)
      |                         ~~^~~~~~~~~~
encoder.cpp:371:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  371 |         for (int i = 0; i < a1b1.size(); i++)
      |                         ~~^~~~~~~~~~~~~
encoder.cpp:373:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  373 |         for (int i = 0; i < a2b2.size(); i++)
      |                         ~~^~~~~~~~~~~~~
encoder.cpp: In member function 'bigint bigint::operator*(const bigint&) const':
encoder.cpp:392:38: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  392 |         for (int i = 0, carry = 0; i < c.size(); i++) {
      |                                    ~~^~~~~~~~~~

decoder.cpp: In member function 'bigint& bigint::operator+=(const bigint&)':
decoder.cpp:40:42: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   40 |             for (int i = 0, carry = 0; i < other.z.size() || carry; ++i) {
      |                                        ~~^~~~~~~~~~~~~~~~
decoder.cpp:41:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   41 |                 if (i == z.size())
      |                     ~~^~~~~~~~~~~
decoder.cpp:43:36: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   43 |                 z[i] += carry + (i < other.z.size() ? other.z[i] : 0);
      |                                  ~~^~~~~~~~~~~~~~~~
decoder.cpp: In member function 'bigint& bigint::operator-=(const bigint&)':
decoder.cpp:60:27: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
   60 |             if (sign == 1 && *this >= other || sign == -1 && *this <= other) {
      |                 ~~~~~~~~~~^~~~~~~~~~~~~~~~~
decoder.cpp:61:46: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   61 |                 for (int i = 0, carry = 0; i < other.z.size() || carry; ++i) {
      |                                            ~~^~~~~~~~~~~~~~~~
decoder.cpp:62:40: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   62 |                     z[i] -= carry + (i < other.z.size() ? other.z[i] : 0);
      |                                      ~~^~~~~~~~~~~~~~~~
decoder.cpp: In member function 'bigint& bigint::operator*=(int)':
decoder.cpp:87:38: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   87 |         for (int i = 0, carry = 0; i < z.size() || carry; ++i) {
      |                                    ~~^~~~~~~~~~
decoder.cpp:88:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   88 |             if (i == z.size())
      |                 ~~^~~~~~~~~~~
decoder.cpp: In member function 'void bigint::read(const string&)':
decoder.cpp:285:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  285 |         while (pos < s.size() && (s[pos] == '-' || s[pos] == '+')) {
      |                ~~~~^~~~~~~~~~
decoder.cpp: In static member function 'static std::vector<int> bigint::convert_base(const std::vector<int>&, int, int)':
decoder.cpp:318:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  318 |         for (int i = 1; i < p.size(); i++)
      |                         ~~^~~~~~~~~~
decoder.cpp: In static member function 'static bigint::vll bigint::karatsubaMultiply(const vll&, const vll&)':
decoder.cpp:365:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  365 |         for (int i = 0; i < a1b1.size(); i++)
      |                         ~~^~~~~~~~~~~~~
decoder.cpp:367:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  367 |         for (int i = 0; i < a2b2.size(); i++)
      |                         ~~^~~~~~~~~~~~~
decoder.cpp:370:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  370 |         for (int i = 0; i < r.size(); i++)
      |                         ~~^~~~~~~~~~
decoder.cpp:372:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  372 |         for (int i = 0; i < a1b1.size(); i++)
      |                         ~~^~~~~~~~~~~~~
decoder.cpp:374:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  374 |         for (int i = 0; i < a2b2.size(); i++)
      |                         ~~^~~~~~~~~~~~~
decoder.cpp: In member function 'bigint bigint::operator*(const bigint&) const':
decoder.cpp:393:38: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  393 |         for (int i = 0, carry = 0; i < c.size(); i++) {
      |                                    ~~^~~~~~~~~~
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