#568689 (C++17) No.1031 いたずら好きなお姉ちゃん

提出ソース

結果

問題	No.1031 いたずら好きなお姉ちゃん
ユーザー	minato
提出日時	2020-10-18 09:33:29
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	107 ms / 3,500 ms
コード長	11,639 bytes
コンパイル時間	3,908 ms
コンパイル使用メモリ	242,020 KB
実行使用メモリ	10,252 KB
最終ジャッジ日時	2024-07-21 03:19:20
合計ジャッジ時間	9,811 ms
ジャッジサーバーID （参考情報）	judge2 / judge5

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	2 ms 5,248 KB
testcase_01	AC	2 ms 5,376 KB
testcase_02	AC	2 ms 5,376 KB
testcase_03	AC	5 ms 5,376 KB
testcase_04	AC	5 ms 5,376 KB
testcase_05	AC	5 ms 5,376 KB
testcase_06	AC	5 ms 5,376 KB
testcase_07	AC	5 ms 5,376 KB
testcase_08	AC	5 ms 5,376 KB
testcase_09	AC	5 ms 5,376 KB
testcase_10	AC	5 ms 5,376 KB
testcase_11	AC	79 ms 9,296 KB
testcase_12	AC	78 ms 9,272 KB
testcase_13	AC	94 ms 10,112 KB
testcase_14	AC	81 ms 9,524 KB
testcase_15	AC	89 ms 9,920 KB
testcase_16	AC	77 ms 9,240 KB
testcase_17	AC	90 ms 9,928 KB
testcase_18	AC	87 ms 9,688 KB
testcase_19	AC	90 ms 9,956 KB
testcase_20	AC	95 ms 10,112 KB
testcase_21	AC	86 ms 9,696 KB
testcase_22	AC	77 ms 9,244 KB
testcase_23	AC	80 ms 9,328 KB
testcase_24	AC	90 ms 9,856 KB
testcase_25	AC	93 ms 10,084 KB
testcase_26	AC	88 ms 9,732 KB
testcase_27	AC	82 ms 9,536 KB
testcase_28	AC	95 ms 9,996 KB
testcase_29	AC	95 ms 10,124 KB
testcase_30	AC	95 ms 10,124 KB
testcase_31	AC	94 ms 10,252 KB
testcase_32	AC	95 ms 10,124 KB
testcase_33	AC	94 ms 10,120 KB
testcase_34	AC	94 ms 10,000 KB
testcase_35	AC	103 ms 9,996 KB
testcase_36	AC	103 ms 10,128 KB
testcase_37	AC	105 ms 10,124 KB
testcase_38	AC	102 ms 10,204 KB
testcase_39	AC	99 ms 9,992 KB
testcase_40	AC	101 ms 10,052 KB
testcase_41	AC	101 ms 10,076 KB
testcase_42	AC	100 ms 10,056 KB
testcase_43	AC	99 ms 10,088 KB
testcase_44	AC	98 ms 10,056 KB
testcase_45	AC	96 ms 9,960 KB
testcase_46	AC	101 ms 10,052 KB
testcase_47	AC	100 ms 10,020 KB
testcase_48	AC	102 ms 9,992 KB
testcase_49	AC	105 ms 9,984 KB
testcase_50	AC	103 ms 10,080 KB
testcase_51	AC	107 ms 10,120 KB
testcase_52	AC	107 ms 10,248 KB
testcase_53	AC	106 ms 10,124 KB
testcase_54	AC	2 ms 5,376 KB
testcase_55	AC	2 ms 5,376 KB

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ソースコード

raw source code

#ifdef ONLINE_JUDGE
#pragma GCC target("avx2,avx")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#endif
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ull = unsigned long long;
using i128 = __int128_t;
using pii = pair<int, int>;
using pll = pair<long long, long long>;
#define rep(i, n) for (int i = 0; i < (n); i++)
#define all(x) (x).begin(), (x).end()
constexpr char ln = '\n';
istream& operator>>(istream& is, __int128_t& x) {
    x = 0;
    string s;
    is >> s;
    int n = int(s.size()), it = 0;
    if (s[0] == '-') it++;
    for (; it < n; it++) x = (x * 10 + s[it] - '0');
    if (s[0] == '-') x = -x;
    return is;
}
ostream& operator<<(ostream& os, __int128_t x) {
    if (x == 0) return os << 0;
    if (x < 0) os << '-', x = -x;
    deque<int> deq;
    while (x) deq.emplace_front(x % 10), x /= 10;
    for (int e : deq) os << e;
    return os;
}
template<class T1, class T2>
ostream& operator<<(ostream& os, const pair<T1, T2>& p) {
    return os << "(" << p.first << ", " << p.second << ")";
}
template<class T> 
ostream& operator<<(ostream& os, const vector<T>& v) {
    os << "{";
    for (int i = 0; i < int(v.size()); i++) {
        if (i) os << ", ";
        os << v[i];
    }
    return os << "}";
}
template<class Container> inline int SZ(Container& v) { return int(v.size()); }
template<typename T> inline void UNIQUE(vector<T>& v) { v.erase(unique(v.begin(), v.end()), v.end()); }
template<class T1, class T2> inline bool chmax(T1& a, T2 b) { if (a < b) {a = b; return true ;} return false ;}
template<class T1, class T2> inline bool chmin(T1& a, T2 b) { if (a > b) {a = b; return true ;} return false ;}
inline int topbit(int x) { return x == 0 ? -1 : 31 - __builtin_clz(x); }
inline int topbit(long long x) { return x == 0 ? -1 : 63 - __builtin_clzll(x); }
inline int botbit(int x) { return x == 0 ? 32 : __builtin_ctz(x); }
inline int botbit(long long x) { return x == 0 ? 64 : __builtin_ctzll(x); }
inline int popcount(int x) { return __builtin_popcount(x); }
inline int popcount(long long x) { return __builtin_popcountll(x); }
inline int kthbit(long long x, int k) { return (x>>k) & 1; }
inline constexpr long long TEN(int x) { return x == 0 ? 1 : TEN(x-1) * 10; }
namespace detail {
    template<typename Tp, int Nb>
    auto make_vector(vector<int>& sizes, Tp const& x) {
        if constexpr (Nb == 1) {
            return vector(sizes[0], x);
        } else {
            int size = sizes[Nb-1];
            sizes.pop_back();
            return vector(size, make_vector<Tp, Nb-1>(sizes, x));
        }
    }
}
template<typename Tp, int Nb>
auto make_vector(int const(&sizes)[Nb], Tp const& x = Tp()) {
    vector<int> s(Nb);
    for (int i = 0; i < Nb; i++) s[i] = sizes[Nb-i-1];
    return detail::make_vector<Tp, Nb>(s, x);
}
inline void print() { cout << "\n"; }
template<class T>
inline void print(const vector<T>& v) {
    for (int i = 0; i < int(v.size()); i++) {
        if (i) cout << " ";
        cout << v[i];
    }
    print();
}
template<class T, class... Args>
inline void print(const T& x, const Args& ... args) {
    cout << x << " ";
    print(args...);
}
#ifdef MINATO_LOCAL
inline void debug_out() { cerr << endl; }
template <class T, class... Args>
inline void debug_out(const T& x, const Args& ... args) {
    cerr << " " << x;
    debug_out(args...);
}
#define debug(...) cerr << __LINE__ << " : [" << #__VA_ARGS__ << "] =", debug_out(__VA_ARGS__)
#define dump(x) cerr << __LINE__ << " : " << #x << " = " << (x) << endl
#else
#define debug(...) (void(0))
#define dump(x) (void(0))
#endif
struct fast_ios { fast_ios() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(20); }; } fast_ios_;
////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////

template<class T, class F>
struct SegmentTree {
  private:
    F op;
    T e;
    int _n, size ,log;
    vector<T> node;

  public:
    SegmentTree() {}
    SegmentTree(const F& op, T e, int n) : SegmentTree(op, e, vector<T>(n, e)) {}
    SegmentTree(const F& op, T e, const vector<T>& v) : op(op), e(e), _n(int(v.size())), log(0) {
        while ((1<<log) < _n) log++;
        size = 1 << log;
        node = vector<T> (2 * size, e);
        for (int i = 0; i < _n; i++) node[size + i] = v[i];
        for (int i = size - 1; i >= 1; i--) {
            update(i);
        }
    }

    // (0-indexed)
    void set(int p, T x) {
        assert(0 <= p && p < _n);
        p += size;
        node[p] = x;
        for (int i = 1; i <= log; i++) update(p >> i);
    }

    // [l, r) (0-indexed)
    T get(int l, int r) {
        if (l >= r) return e;
        T resl = e, resr = e;
        l += size; r += size;
        while (l < r) {
            if (l & 1) resl = op(resl, node[l++]);
            l >>= 1;
            if (r & 1) resr = op(node[--r], resr);
            r >>= 1;
        }
        return op(resl, resr);
    }

    T all_get() { return node[1]; }

    template<class C> 
    int max_right(int l, const C& check) {
        assert(0 <= l && l <= _n);
        assert(check(e));
        if (l == _n) return _n;
        l += size;
        T sm = e;
        do {
            while (~l & 1) l >>= 1;
            if (!check(op(sm, node[l]))) {
                while (l < size) {
                    l = (2 * l);
                    if (check(op(sm, node[l]))) {
                        sm = op(sm, node[l]);
                        l++;
                    }
                }
                return l - size;
            }
            sm = op(sm, node[l]);
            l++;
        } while ((l & -l) != l);
        return _n;
    }

    template<class C> 
    int min_left(int r, const C& check) {
        assert(0 <= r && r <= _n);
        assert(check(e));
        if (r == 0) return 0;
        r += size;
        T sm = e;
        do {
            r--;
            while (r > 1 && (r & 1)) r >>= 1;
            if (!check(op(node[r], sm))) {
                while (r < size) {
                    r = (2 * r + 1);
                    if (check(op(node[r], sm))) {
                        sm = op(node[r], sm);
                        r--;
                    }
                }
                return r + 1 - size;
            }
            sm = op(node[r], sm);
        } while ((r & -r) != r);
        return 0;
    }

    T operator[](int p) {
        assert(0 <= p && p < _n);
        return node[p + size];
    }

  private:

    void update(int k) { node[k] = op(node[2 * k], node[2 * k + 1]); }
};

struct SuccinctIndexableDictionary {
    size_t length;
    size_t blocks;
    vector<unsigned> bit, sum;

    SuccinctIndexableDictionary() = default;

    SuccinctIndexableDictionary(size_t length) : length(length), blocks((length + 31) >> 5) {
        bit.assign(blocks, 0U);
        sum.assign(blocks, 0U);
    }

    void set(int k) {
        bit[k >> 5] |= 1U << (k & 31);
    }

    void build() {
        sum[0] = 0U;
        for(int i = 1; i < int(blocks); i++) {
        sum[i] = sum[i - 1] + __builtin_popcount(bit[i - 1]);
        }
    }

    bool operator[](int k) {
        return (bool((bit[k >> 5] >> (k & 31)) & 1));
    }

    int rank(int k) {
        return (sum[k >> 5] + __builtin_popcount(bit[k >> 5] & ((1U << (k & 31)) - 1)));
    }

    int rank(bool val, int k) {
        return (val ? rank(k) : k - rank(k));
    }
};

template<typename T, int MAXLOG>
struct WaveletMatrix {
    size_t length;
    SuccinctIndexableDictionary matrix[MAXLOG];
    int mid[MAXLOG];

    WaveletMatrix() = default;

    WaveletMatrix(vector<T> v) : length(v.size()) {
        vector< T > l(length), r(length);
        for(int level = MAXLOG - 1; level >= 0; level--) {
        matrix[level] = SuccinctIndexableDictionary(length + 1);
        int left = 0, right = 0;
        for(int i = 0; i < int(length); i++) {
            if(((v[i] >> level) & 1)) {
            matrix[level].set(i);
            r[right++] = v[i];
            } else {
            l[left++] = v[i];
            }
        }
        mid[level] = left;
        matrix[level].build();
        v.swap(l);
        for(int i = 0; i < right; i++) {
            v[left + i] = r[i];
        }
        }
    }

    pair< int, int > succ(bool f, int l, int r, int level) {
        return {matrix[level].rank(f, l) + mid[level] * f, matrix[level].rank(f, r) + mid[level] * f};
    }

    // v[k]
    T access(int k) {
        T ret = 0;
        for(int level = MAXLOG - 1; level >= 0; level--) {
        bool f = matrix[level][k];
        if(f) ret |= T(1) << level;
        k = matrix[level].rank(f, k) + mid[level] * f;
        }
        return ret;
    }

    T operator[](const int &k) {
        return access(k);
    }

    // count i s.t. (0 <= i < r) && v[i] == x
    int rank(const T &x, int r) {
        int l = 0;
        for(int level = MAXLOG - 1; level >= 0; level--) {
        tie(l, r) = succ((x >> level) & 1, l, r, level);
        }
        return r - l;
    }

    // k-th(0-indexed) smallest number in v[l,r)
    T kth_smallest(int l, int r, int k) {
        assert(0 <= k && k < r - l);
        T ret = 0;
        for(int level = MAXLOG - 1; level >= 0; level--) {
        int cnt = matrix[level].rank(false, r) - matrix[level].rank(false, l);
        bool f = cnt <= k;
        if(f) {
            ret |= T(1) << level;
            k -= cnt;
        }
        tie(l, r) = succ(f, l, r, level);
        }
        return ret;
    }

    // k-th(0-indexed) largest number in v[l,r)
    T kth_largest(int l, int r, int k) {
        return kth_smallest(l, r, r - l - k - 1);
    }

    // count i s.t. (l <= i < r) && (v[i] < upper)
    int range_freq(int l, int r, T upper) {
        int ret = 0;
        for(int level = MAXLOG - 1; level >= 0; level--) {
        bool f = ((upper >> level) & 1);
        if(f) ret += matrix[level].rank(false, r) - matrix[level].rank(false, l);
        tie(l, r) = succ(f, l, r, level);
        }
        return ret;
    }

    // count i s.t. (l <= i < r) && (lower <= v[i] < upper)
    int range_freq(int l, int r, T lower, T upper) {
        return range_freq(l, r, upper) - range_freq(l, r, lower);
    }

    // max v[i] s.t. (l <= i < r) && (v[i] < upper)
    T prev_value(int l, int r, T upper) {
        int cnt = range_freq(l, r, upper);
        return cnt == 0 ? T(-1) : kth_smallest(l, r, cnt - 1);
    }

    // min v[i] s.t. (l <= i < r) && (lower <= v[i])
    T next_value(int l, int r, T lower) {
        int cnt = range_freq(l, r, lower);
        return cnt == r - l ? T(-1) : kth_smallest(l, r, cnt);
    }
};

int main() {
    int N; cin >> N;
    vector<int> p(N);
    rep(i,N) cin >> p[i];

    auto f=[](int a, int b) {return max(a,b);};
    auto g=[](int a, int b) {return min(a,b);};
    constexpr int emax = -1;
    constexpr int emin = 1e9;
    SegmentTree seg1(f,emax,p);
    SegmentTree seg2(g,emin,p);
    vector<pii> MAX(N),MIN(N);
    rep(i,N) {
        auto check1=[&](int a) {return a <= p[i];};
        auto check2=[&](int a) {return a >= p[i];};
        int l = seg1.min_left(i+1,check1);
        int r = seg1.max_right(i,check1);
        MAX[i] = pii(l,r);
        l = seg2.min_left(i+1,check2);
        r = seg2.max_right(i,check2);
        MIN[i] = pii(l,r);
    }

    vector<int> MIN_L(N),MIN_R(N);
    rep(i,N) {
        MIN_L[i] = MIN[i].first;
        MIN_R[i] = MIN[i].second;
    }
    WaveletMatrix<int, 20> WML(MIN_L),WMR(MIN_R);

    ll ans = 0;
    rep(i,N) {
        ans += WMR.range_freq(MAX[i].first,i,i+1,2e5);
        ans += WML.range_freq(i+1,MAX[i].second,i+1);
    }

    cout << ans << ln;
}

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結果

テストケース

ソースコード