#924989 (C++17) No.2501 Maximum Inversion Number

提出ソース
結果

問題	No.2501 Maximum Inversion Number
ユーザー	otera
提出日時	2023-11-03 11:25:41
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	110 ms / 2,000 ms
コード長	14,271 bytes
コンパイル時間	2,033 ms
コンパイル使用メモリ	206,628 KB
実行使用メモリ	7,932 KB
最終ジャッジ日時	2023-11-03 11:25:48
合計ジャッジ時間	6,455 ms
ジャッジサーバーID （参考情報）	judge13 / judge11
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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 4,352 KB
testcase_01	AC	31 ms 4,352 KB
testcase_02	AC	53 ms 4,352 KB
testcase_03	AC	37 ms 4,352 KB
testcase_04	AC	37 ms 7,932 KB
testcase_05	AC	36 ms 7,932 KB
testcase_06	AC	44 ms 7,932 KB
testcase_07	AC	34 ms 4,708 KB
testcase_08	AC	42 ms 4,708 KB
testcase_09	AC	23 ms 4,824 KB
testcase_10	AC	34 ms 4,352 KB
testcase_11	AC	32 ms 4,708 KB
testcase_12	AC	29 ms 4,708 KB
testcase_13	AC	2 ms 4,352 KB
testcase_14	AC	49 ms 7,932 KB
testcase_15	AC	29 ms 4,352 KB
testcase_16	AC	110 ms 4,352 KB
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ソースコード

raw source code
/**
 *    author:  otera
**/
#include<bits/stdc++.h>


#include <cassert>
#include <vector>


#include <cassert>
#include <numeric>
#include <type_traits>

namespace atcoder {

namespace internal {

#ifndef _MSC_VER
template <class T>
using is_signed_int128 =
    typename std::conditional<std::is_same<T, __int128_t>::value ||
                                  std::is_same<T, __int128>::value,
                              std::true_type,
                              std::false_type>::type;

template <class T>
using is_unsigned_int128 =
    typename std::conditional<std::is_same<T, __uint128_t>::value ||
                                  std::is_same<T, unsigned __int128>::value,
                              std::true_type,
                              std::false_type>::type;

template <class T>
using make_unsigned_int128 =
    typename std::conditional<std::is_same<T, __int128_t>::value,
                              __uint128_t,
                              unsigned __int128>;

template <class T>
using is_integral = typename std::conditional<std::is_integral<T>::value ||
                                                  is_signed_int128<T>::value ||
                                                  is_unsigned_int128<T>::value,
                                              std::true_type,
                                              std::false_type>::type;

template <class T>
using is_signed_int = typename std::conditional<(is_integral<T>::value &&
                                                 std::is_signed<T>::value) ||
                                                    is_signed_int128<T>::value,
                                                std::true_type,
                                                std::false_type>::type;

template <class T>
using is_unsigned_int =
    typename std::conditional<(is_integral<T>::value &&
                               std::is_unsigned<T>::value) ||
                                  is_unsigned_int128<T>::value,
                              std::true_type,
                              std::false_type>::type;

template <class T>
using to_unsigned = typename std::conditional<
    is_signed_int128<T>::value,
    make_unsigned_int128<T>,
    typename std::conditional<std::is_signed<T>::value,
                              std::make_unsigned<T>,
                              std::common_type<T>>::type>::type;

#else

template <class T> using is_integral = typename std::is_integral<T>;

template <class T>
using is_signed_int =
    typename std::conditional<is_integral<T>::value && std::is_signed<T>::value,
                              std::true_type,
                              std::false_type>::type;

template <class T>
using is_unsigned_int =
    typename std::conditional<is_integral<T>::value &&
                                  std::is_unsigned<T>::value,
                              std::true_type,
                              std::false_type>::type;

template <class T>
using to_unsigned = typename std::conditional<is_signed_int<T>::value,
                                              std::make_unsigned<T>,
                                              std::common_type<T>>::type;

#endif

template <class T>
using is_signed_int_t = std::enable_if_t<is_signed_int<T>::value>;

template <class T>
using is_unsigned_int_t = std::enable_if_t<is_unsigned_int<T>::value>;

template <class T> using to_unsigned_t = typename to_unsigned<T>::type;

}  // namespace internal

}  // namespace atcoder


namespace atcoder {

template <class T> struct fenwick_tree {
    using U = internal::to_unsigned_t<T>;

  public:
    fenwick_tree() : _n(0) {}
    explicit fenwick_tree(int n) : _n(n), data(n) {}

    void add(int p, T x) {
        assert(0 <= p && p < _n);
        p++;
        while (p <= _n) {
            data[p - 1] += U(x);
            p += p & -p;
        }
    }

    T sum(int l, int r) {
        assert(0 <= l && l <= r && r <= _n);
        return sum(r) - sum(l);
    }

  private:
    int _n;
    std::vector<U> data;

    U sum(int r) {
        U s = 0;
        while (r > 0) {
            s += data[r - 1];
            r -= r & -r;
        }
        return s;
    }
};

}  // namespace atcoder


namespace otera {
    template <typename T>
    struct compressor {
        public:
            static constexpr int absent = -1;

            compressor() : _xs(std::vector<T>{}) {}

            compressor(const std::vector<T> &vs) {
                add(vs);
                build();
            }

            void add(const std::vector<T> &vs) {
                std::copy(vs.begin(), vs.end(), std::back_inserter(_xs));
            }

            void add(const T &e) {
                _xs.emplace_back(e);
            }

            void build() {
                std::sort(_xs.begin(), _xs.end());
                _xs.erase(std::unique(_xs.begin(), _xs.end()), _xs.end());
            }

            int size() const {
                return _xs.size();
            }

            bool has_key(const T &e) const {
                return std::binary_search(_xs.begin(), _xs.end(), e);
            }

            std::vector<int> get(const std::vector<T> &vs) const {
                std::vector<int> res;
                std::transform(vs.begin(), vs.end(), std::back_inserter(res), [&](const T &e) {
                    return get(e);
                });
                return res;
            }

            int get(const T &e, int default_value = absent) const {
                const int id = min_geq_index(e);
                return id != size() and _xs[id] == e ? id : default_value;
            }

            const T &operator[](int compressed_index) const {
                return _xs[compressed_index];
            }

            T min_gt(const T &e, const T &default_value) const {
                auto it = std::upper_bound(_xs.begin(), _xs.end(), e);
                return it == _xs.end() ? default_value : *it;
            }
            T min_geq(const T &e, const T &default_value) const {
                auto it = std::lower_bound(_xs.begin(), _xs.end(), e);
                return it == _xs.end() ? default_value : *it;
            }
            T max_lt(const T &e, const T &default_value) const {
                auto it = std::lower_bound(_xs.begin(), _xs.end(), e);
                return it == _xs.begin() ? default_value : *std::prev(it);
            }
            T max_leq(const T &e, const T &default_value) const {
                auto it = std::upper_bound(_xs.begin(), _xs.end(), e);
                return it == _xs.begin() ? default_value : *std::prev(it);
            }
            int min_gt_index(const T &e) const {
                return std::upper_bound(_xs.begin(), _xs.end(), e) - _xs.begin();
            }
            int min_geq_index(const T &e) const {
                return std::lower_bound(_xs.begin(), _xs.end(), e) - _xs.begin();
            }
            int max_lt_index(const T &e) const {
                return int(std::lower_bound(_xs.begin(), _xs.end(), e)- _xs.begin()) - 1;
            }
            int max_leq_index(const T &e) const {
                return int(std::upper_bound(_xs.begin(), _xs.end(), e)- _xs.begin()) - 1;
            }
        private:
            std::vector<T> _xs;
    };
} // namespace otera


namespace otera {
    template<typename T>
    long long inversion_number(std::vector<T> a) {
        int _n = (int)a.size();
        compressor<T> ca(a);
        int _sz = (int)ca.size();
        atcoder::fenwick_tree<T> bit(_sz);
        long long res = 0;
        for(int i = 0; i < _n; ++ i) {
            int _pos = ca.get(a[i]);
            res += (long long)bit.sum(_pos + 1, _sz);
            bit.add(_pos, 1);
        }
        return res;
    }
} // namespace otera


namespace otera {}
using namespace std;
using namespace otera;

struct io_setup {
    io_setup(int precision = 20) {
        ios::sync_with_stdio(false);
        cin.tie(0);
        cout << fixed << setprecision(precision);
    }
} io_setup_ {};

#define int long long

using ll = long long;
using ld = long double;
using ull = unsigned long long;
using i128 = __int128_t;
using u128 = __uint128_t;
#define repa(i, n) for(int i = 0; i < (n); ++ i)
#define repb(i, a, b) for(int i = (a); i < (b); ++ i)
#define repc(i, a, b, c) for(int i = (a); i < (b); i += (c))
#define overload4(a, b, c, d, e, ...) e
#define overload3(a, b, c, d, ...) d
#define rep(...) overload4(__VA_ARGS__, repc, repb, repa)(__VA_ARGS__)
#define rep1a(i, n) for(int i = 0; i <= (n); ++ i)
#define rep1b(i, a, b) for(int i = (a); i <= (b); ++ i)
#define rep1c(i, a, b, c) for(int i = (a); i <= (b); i += (c))
#define rep1(...) overload4(__VA_ARGS__, rep1c, rep1b, rep1a)(__VA_ARGS__)
#define rev_repa(i, n) for(int i=(n)-1;i>=0;i--)
#define rev_repb(i, a, b) assert((a) > (b));for(int i=(a);i>(b);i--)
#define rev_rep(...) overload3(__VA_ARGS__, rev_repb, rev_repa)(__VA_ARGS__)
#define rev_rep1a(i, n) for(int i=(n);i>=1;i--)
#define rev_rep1b(i, a, b) assert((a) >= (b));for(int i=(a);i>=(b);i--)
#define rev_rep1(...) overload3(__VA_ARGS__, rev_rep1b, rev_rep1a)(__VA_ARGS__)
#define for_subset(t, s) for(ll t = (s); t >= 0; t = (t == 0 ? -1 : (t - 1) & (s)))
typedef pair<int, int> P;
typedef pair<ll, ll> LP;
#define pb push_back
#define pf push_front
#define ppb pop_back
#define ppf pop_front
#define eb emplace_back
#define mkp make_pair
#define mkt make_tuple
#define fr first
#define sc second
#define all(c) std::begin(c), std::end(c)
#define rall(c) std::rbegin(c), std::rend(c)
#define lb(c, x) distance(std::begin(c), lower_bound(all(c), (x)))
#define ub(c, x) distance(std::begin(c), upper_bound(all(c), (x)))
#define Sort(a) sort(all(a))
#define Rev(a) reverse(all(a))
#define Uniq(a) sort(all(a));(a).erase(unique(all(a)),std::end(a))
#define si(c) (int)(c).size()
inline ll popcnt(ull a){ return __builtin_popcountll(a); }
#define kth_bit(x, k) ((x>>k)&1)
#define unless(A) if(!(A))
#define elif else if
ll modulo(ll n, ll d){ return (n % d + d) % d; };
ll intpow(ll a, ll b){ ll ans = 1; while(b){ if(b & 1) ans *= a; a *= a; b /= 2; } return ans; }
ll intpow(ll a, ll b, ll m) {ll ans = 1; while(b){ if(b & 1) (ans *= a) %= m; (a *= a) %= m; b /= 2; } return ans; }
template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }
#define INT(...) int __VA_ARGS__;in(__VA_ARGS__)
#define LL(...) ll __VA_ARGS__;in(__VA_ARGS__)
#define ULL(...) ull __VA_ARGS__;in(__VA_ARGS__)
#define STR(...) string __VA_ARGS__;in(__VA_ARGS__)
#define CHR(...) char __VA_ARGS__;in(__VA_ARGS__)
#define DBL(...) double __VA_ARGS__;in(__VA_ARGS__)
#define LD(...) ld __VA_ARGS__;in(__VA_ARGS__)
#define vec(type,name,...) vector<type>name(__VA_ARGS__)
#define VEC(type,name,size) vector<type>name(size);in(name)
#define vv(type,name,h,...) vector<vector<type>>name(h,vector<type>(__VA_ARGS__))
#define VV(type,name,h,w) vector<vector<type>>name(h,vector<type>(w));in(name)
#define vvv(type,name,h,w,...) vector<vector<vector<type>>>name(h,vector<vector<type>>(w,vector<type>(__VA_ARGS__)))
template <class T> using vc = vector<T>;
template <class T> using vvc = vector<vc<T>>;
template <class T> using vvvc = vector<vvc<T>>;
template <class T> using vvvvc = vector<vvvc<T>>;
template <class T> using pq = priority_queue<T>;
template <class T> using pqg = priority_queue<T, vector<T>, greater<T>>;
template <class T, class U> using umap = unordered_map<T, U>;
template<class T> void scan(T& a){ cin >> a; }
template<class T> void scan(vector<T>& a){ for(auto&& i : a) scan(i); }
void in(){}
template <class Head, class... Tail> void in(Head& head, Tail&... tail){ scan(head); in(tail...); }
void print(){ cout << ' '; }
template<class T> void print(const T& a){ cout << a; }
template<class T> void print(const vector<T>& a){ if(a.empty()) return; print(a[0]); for(auto i = a.begin(); ++i != a.end(); ){ cout << ' '; print(*i); } }
int out(){ cout << '\n'; return 0; }
template<class T> int out(const T& t){ print(t); cout << '\n'; return 0; }
template<class Head, class... Tail> int out(const Head& head, const Tail&... tail){ print(head); cout << ' '; out(tail...); return 0; }
#define CHOOSE(a) CHOOSE2 a
#define CHOOSE2(a0,a1,a2,a3,a4,x,...) x
#define debug_1(x1) cout<<#x1<<": "<<x1<<endl
#define debug_2(x1,x2) cout<<#x1<<": "<<x1<<", "#x2<<": "<<x2<<endl
#define debug_3(x1,x2,x3) cout<<#x1<<": "<<x1<<", "#x2<<": "<<x2<<", "#x3<<": "<<x3<<endl
#define debug_4(x1,x2,x3,x4) cout<<#x1<<": "<<x1<<", "#x2<<": "<<x2<<", "#x3<<": "<<x3<<", "#x4<<": "<<x4<<endl
#define debug_5(x1,x2,x3,x4,x5) cout<<#x1<<": "<<x1<<", "#x2<<": "<<x2<<", "#x3<<": "<<x3<<", "#x4<<": "<<x4<<", "#x5<<": "<<x5<<endl
#ifdef DEBUG
#define debug(...) CHOOSE((__VA_ARGS__,debug_5,debug_4,debug_3,debug_2,debug_1,~))(__VA_ARGS__)
#define dump(...) { print(#__VA_ARGS__); print(":"); out(__VA_ARGS__); }
#else
#define debug(...)
#define dump(...)
#endif

void solve() {
    INT(n, m);
    VEC(int, l, n);
    VEC(int, r, n);

    int lsum = 0, rsum = 0;
    rep(i, n) {
        lsum += l[i];
        rsum += r[i];
    }
    unless(lsum <= m and m <= rsum) {
        out(-1);
        return;
    }

    vc<int> a;
    vc<int> cnt(n, 0);
    int res = m;
    rep(i, n) {
        cnt[i] = l[i];
        res -= l[i];
    }
    auto check = [&](int x) -> bool {
        int sum = 0;
        rep(i, n) {
            sum += min(r[i] - l[i], max(x - l[i], 0LL));
        }
        return sum <= res;
    };
    int ok = 0, ng = m;
    while(ng - ok > 1) {
        int mid = (ok + ng) / 2;
        if(check(mid)) ok = mid;
        else ng = mid;
    }
    debug(ok);
    dump(cnt);
    rep(i, n) {
        res -= min(r[i] - l[i], max(ok - l[i], 0LL));
        cnt[i] += min(r[i] - l[i], max(ok - l[i], 0LL));
    }
    dump(cnt);
    rep(i, n) {
        if(res > 0 and cnt[i] < ok + 1 and ok + 1 <= r[i]) {
            cnt[i] ++;
            -- res;
        }
    }
    dump(cnt);

    ll ans = 0;
    ll sum = 0;
    rev_rep(i, n) {
        ans += sum * cnt[i];
        sum += cnt[i];
    }
    debug(sum);
    out(ans);
}

signed main() {
    int testcase = 1;
    in(testcase);
    while(testcase--) solve();
    return 0;
}
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結果

テストケース

ソースコード
