제출 #62252

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
62252		Benq	Permutation Recovery (info1cup17_permutation)	C++11	78 / 100	4097 ms	225588 KiB

Main

#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>

using namespace std;
using namespace __gnu_pbds;
 
typedef long long ll;
typedef long double ld;
typedef complex<ld> cd;

typedef pair<int, int> pi;
typedef pair<ll,ll> pl;
typedef pair<ld,ld> pd;

typedef vector<int> vi;
typedef vector<ld> vd;
typedef vector<ll> vl;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<cd> vcd;

template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag,tree_order_statistics_node_update>;

#define FOR(i, a, b) for (int i=a; i<(b); i++)
#define F0R(i, a) for (int i=0; i<(a); i++)
#define FORd(i,a,b) for (int i = (b)-1; i >= a; i--)
#define F0Rd(i,a) for (int i = (a)-1; i >= 0; i--)

#define sz(x) (int)(x).size()
#define mp make_pair
#define pb push_back
#define f first
#define s second
#define lb lower_bound
#define ub upper_bound
#define all(x) x.begin(), x.end()

const int MOD = 1000000007;
const ll INF = 1e18;
const int MX = 100001;


// 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;
    }

};

bigint random_bigint(int n) {
    string s;
    for (int i = 0; i < n; i++) {
        s += rand() % 10 + '0';
    }
    return bigint(s);
}

int co = 0, ans[70001];
struct tnode {
    int pri, ind;
    bigint val, sum;
    tnode *c[2];

    tnode (int _ind, bigint _val) {
        ind = _ind;
        val = sum = _val;
        pri = rand()+(rand()<<15);
        c[0] = c[1] = NULL;
    }
    
    void inOrder(bool f = 0) {
        if (c[0]) c[0]->inOrder();
        ans[ind] = ++co;
        if (c[1]) c[1]->inOrder();
        if (f) cout << "\n------------\n";
    }
    
    void recalc() {
        sum = val;
        F0R(i,2) if (c[i]) sum += c[i]->sum;
    }
};

pair<tnode*,tnode*> split(tnode* t, bigint v) { 
    if (!t) return {t,t};
    
    // cout << "OH " << t->sum << " " << v << "\n";
    bigint b = (t->c[0]?t->c[0]->sum:0);
    if (b >= v) {
        auto p = split(t->c[0], v); 
        t->c[0] = p.s; t->recalc();
        return {p.f, t};
    } else {
        auto p = split(t->c[1], v-b-t->val); 
        t->c[1] = p.f; t->recalc();
        return {t, p.s};
    }
}

tnode* merge(tnode* l, tnode* r) {
    if (!l) return r; 
    if (!r) return l;
    
    if (l->pri > r->pri) {
        l->c[1] = merge(l->c[1],r);
        l->recalc();
        return l;
    } else {
        r->c[0] = merge(l,r->c[0]);
        r->recalc();
        return r;
    }
}

tnode* root;

bigint cum[70001];
int n;

int main() {
    ios_base::sync_with_stdio(0); cin.tie(0);
    cin >> n;
    FOR(i,1,n+1) {
        cin >> cum[i];
        bigint b = cum[i]-cum[i-1];
        auto a = split(root,b-1);
        root = merge(merge(a.f,new tnode(i,b)),a.s);
    }
    root->inOrder();
    FOR(i,1,n+1) cout << ans[i] << " ";
}

/* Look for:
* the exact constraints (multiple sets are too slow for n=10^6 :( ) 
* special cases (n=1?)
* overflow (ll vs int?)
* array bounds
*/

컴파일 시 표준 에러 (stderr) 메시지

permutation.cpp: In member function 'bigint& bigint::operator+=(const bigint&)':
permutation.cpp:79:42: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
             for (int i = 0, carry = 0; i < other.z.size() || carry; ++i) {
                                        ~~^~~~~~~~~~~~~~~~
permutation.cpp:80:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
                 if (i == z.size())
                     ~~^~~~~~~~~~~
permutation.cpp:82:36: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
                 z[i] += carry + (i < other.z.size() ? other.z[i] : 0);
                                  ~~^~~~~~~~~~~~~~~~
permutation.cpp: In member function 'bigint& bigint::operator-=(const bigint&)':
permutation.cpp:99:27: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
             if (sign == 1 && *this >= other || sign == -1 && *this <= other) {
                 ~~~~~~~~~~^~~~~~~~~~~~~~~~~
permutation.cpp:100:46: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
                 for (int i = 0, carry = 0; i < other.z.size() || carry; ++i) {
                                            ~~^~~~~~~~~~~~~~~~
permutation.cpp:101:40: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
                     z[i] -= carry + (i < other.z.size() ? other.z[i] : 0);
                                      ~~^~~~~~~~~~~~~~~~
permutation.cpp: In member function 'bigint& bigint::operator*=(int)':
permutation.cpp:126:38: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for (int i = 0, carry = 0; i < z.size() || carry; ++i) {
                                    ~~^~~~~~~~~~
permutation.cpp:127:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
             if (i == z.size())
                 ~~^~~~~~~~~~~
permutation.cpp: In member function 'void bigint::read(const string&)':
permutation.cpp:324:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         while (pos < s.size() && (s[pos] == '-' || s[pos] == '+')) {
                ~~~~^~~~~~~~~~
permutation.cpp: In static member function 'static std::vector<int> bigint::convert_base(const std::vector<int>&, int, int)':
permutation.cpp:357:27: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for (int i = 1; i < p.size(); i++)
                         ~~^~~~~~~~~~
permutation.cpp: In static member function 'static bigint::vll bigint::karatsubaMultiply(const vll&, const vll&)':
permutation.cpp:404:27: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for (int i = 0; i < a1b1.size(); i++)
                         ~~^~~~~~~~~~~~~
permutation.cpp:406:27: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for (int i = 0; i < a2b2.size(); i++)
                         ~~^~~~~~~~~~~~~
permutation.cpp:409:27: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for (int i = 0; i < r.size(); i++)
                         ~~^~~~~~~~~~
permutation.cpp:411:27: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for (int i = 0; i < a1b1.size(); i++)
                         ~~^~~~~~~~~~~~~
permutation.cpp:413:27: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for (int i = 0; i < a2b2.size(); i++)
                         ~~^~~~~~~~~~~~~
permutation.cpp: In member function 'bigint bigint::operator*(const bigint&) const':
permutation.cpp:432:38: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for (int i = 0, carry = 0; i < c.size(); i++) {
                                    ~~^~~~~~~~~~

• Subtask 1: 10 / 10
• Subtask 2: 15 / 15
• Subtask 3: 18 / 18
• Subtask 4: 17 / 17
• Subtask 5: 11 / 11
• Subtask 6: 7 / 7
• Subtask 7: 0 / 16
• Subtask 8: 0 / 6