結果

問題 No.1222 -101
ユーザー minatominato
提出日時 2020-09-26 12:55:12
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 217 ms / 2,000 ms
コード長 10,692 bytes
コンパイル時間 3,908 ms
コンパイル使用メモリ 230,984 KB
実行使用メモリ 13,204 KB
最終ジャッジ日時 2023-09-11 09:02:39
合計ジャッジ時間 10,199 ms
ジャッジサーバーID
(参考情報)
judge13 / judge15
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
4,380 KB
testcase_01 AC 2 ms
4,384 KB
testcase_02 AC 2 ms
4,380 KB
testcase_03 AC 2 ms
4,384 KB
testcase_04 AC 2 ms
4,384 KB
testcase_05 AC 1 ms
4,380 KB
testcase_06 AC 1 ms
4,380 KB
testcase_07 AC 2 ms
4,380 KB
testcase_08 AC 2 ms
4,380 KB
testcase_09 AC 1 ms
4,384 KB
testcase_10 AC 95 ms
12,936 KB
testcase_11 AC 95 ms
12,940 KB
testcase_12 AC 131 ms
12,916 KB
testcase_13 AC 134 ms
12,992 KB
testcase_14 AC 135 ms
13,132 KB
testcase_15 AC 110 ms
12,920 KB
testcase_16 AC 119 ms
13,040 KB
testcase_17 AC 127 ms
13,204 KB
testcase_18 AC 108 ms
12,936 KB
testcase_19 AC 110 ms
13,104 KB
testcase_20 AC 118 ms
13,048 KB
testcase_21 AC 120 ms
12,940 KB
testcase_22 AC 2 ms
4,384 KB
testcase_23 AC 2 ms
4,384 KB
testcase_24 AC 2 ms
4,380 KB
testcase_25 AC 2 ms
4,380 KB
testcase_26 AC 2 ms
4,380 KB
testcase_27 AC 1 ms
4,380 KB
testcase_28 AC 1 ms
4,384 KB
testcase_29 AC 2 ms
4,388 KB
testcase_30 AC 2 ms
4,384 KB
testcase_31 AC 2 ms
4,384 KB
testcase_32 AC 217 ms
12,992 KB
testcase_33 AC 216 ms
13,196 KB
testcase_34 AC 62 ms
13,056 KB
testcase_35 AC 61 ms
12,920 KB
testcase_36 AC 61 ms
13,020 KB
testcase_37 AC 61 ms
12,944 KB
testcase_38 AC 60 ms
13,068 KB
権限があれば一括ダウンロードができます

ソースコード

diff #

#ifdef ONLINE_JUDGE
#pragma GCC target("avx2,avx")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#endif
//#include <atcoder/all>
//using namespace atcoder;
//using mint = modint998244353;
//using mint = modint1000000007;
#include <bits/stdc++.h>
using namespace std;
//#include <ext/pb_ds/assoc_container.hpp>
//#include <ext/pb_ds/tree_policy.hpp>
//using namespace __gnu_pbds;
//using i128 = __int128_t;
using ll = long long;
using ull = unsigned long long;
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()
#define SZ(x) ((int)(x).size())
constexpr char ln = '\n';
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 void print() {cout << "\n";}
template<class T>
inline void print(const vector<T> &v) {
    for (auto itr = v.begin(); itr != v.end(); ++itr) cout << *itr << " ";
    print();
}
template<class T, class... Args>
inline void print(const T &x, const Args &... args) {
    cout << x << " ";
    print(args...);
}
#ifdef MINATO_LOCAL
#define dump(x) cerr << __LINE__ << " : " << #x << " = " << (x) << endl;
inline void debug() {cerr << endl;}
template<class T>
inline void debug(const vector<T> &v) {
    for (auto itr = v.begin(); itr != v.end(); ++itr) cerr << *itr << " ";
    debug();
}
template<class T, class... Args>
inline void debug(const T &x, const Args &... args) {
    cerr << x << " ";
    debug(args...);
}
#else
#define dump(x) void(0)
inline void debug() {}
template<class T> inline void debug(const vector<T> &v) {}
template<class T, class... Args> inline void debug(const T &x, const Args &... args) {}
#endif
struct Fast_ios {Fast_ios() {cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(20);};} fast_ios;
////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////

template <uint_fast64_t Modulus> 
struct ModInt {
    using u64 = uint_fast64_t;

    u64 a;

    constexpr ModInt(const long long x = 0) noexcept : a(x >= 0 ? x % Modulus : (Modulus - (-x) % Modulus) % Modulus) {}
    constexpr u64 &value() noexcept {return a;}
    constexpr const u64 &value() const noexcept {return a;}
    constexpr ModInt operator+(const ModInt rhs) const noexcept {return ModInt(*this) += rhs;}
    constexpr ModInt operator-(const ModInt rhs) const noexcept {return ModInt(*this) -= rhs;}
    constexpr ModInt operator*(const ModInt rhs) const noexcept {return ModInt(*this) *= rhs;}
    constexpr ModInt operator/(const ModInt rhs) const noexcept {return ModInt(*this) /= rhs;}
    constexpr ModInt operator^(const long long rhs) const noexcept {return ModInt(*this) ^= rhs;}
    constexpr bool operator==(const ModInt &rhs) const noexcept {return a == rhs.a;}
    constexpr bool operator!=(const ModInt &rhs) const noexcept {return a != rhs.a;}
    constexpr ModInt &operator+=(const ModInt rhs) noexcept {
        a += rhs.a;
        if (a >= Modulus) {
            a -= Modulus;
        }
        return *this;
    }
    constexpr ModInt &operator-=(const ModInt rhs) noexcept {
        if (a < rhs.a) {
            a += Modulus;
        }
        a -= rhs.a;
        return *this;
    }
    constexpr ModInt &operator*=(const ModInt rhs) noexcept {
        a = a * rhs.a % Modulus;
        return *this;
    }
    constexpr ModInt &operator/=(ModInt rhs) noexcept {
        u64 exp = Modulus - 2;
        while (exp) {
            if (exp&1) *this *= rhs;
            exp >>= 1;
            rhs *= rhs;
        }
        return *this;
    }
    constexpr ModInt &operator^=(long long exp) noexcept {
        ModInt rhs = a;
        a = 1;
        while (exp) {
            if (exp&1) *this *= rhs;
            exp >>= 1;
            rhs *= rhs;
        }
        return *this;
    }

    friend ostream &operator<<(ostream& os, const ModInt& rhs) noexcept {return os << rhs.a;}
    friend istream &operator>>(istream& is, ModInt& rhs) noexcept {long long a; is >> a; rhs = a; return is;}
};

constexpr long long MOD = 1000000007;
//constexpr long long MOD = 998244353;

using mint = ModInt<MOD>;

template<typename T, typename U, typename F, typename G, typename H>
struct LazySegmentTree {
  private:
    F op;
    G mapping;
    H composition;
    T e;
    U id;
    int _n, size ,log;
    vector<T> node;
    vector<U> lazy;

  public:
    LazySegmentTree() {}
    LazySegmentTree(const F& op, const G& mapping, const H& composition, T e, U id, int n)
                    : LazySegmentTree(op, mapping, composition, e, id, vector<T>(n, e)) {}
    LazySegmentTree(const F& op, const G& mapping, const H& composition, T e, U id, const vector<T>& v) 
                    : op(op), mapping(mapping), composition(composition), e(e), id(id),
                    _n(int(v.size())), log(0) {
                        while ((1<<log) < _n) log++;
                        size = 1 << log;
                        node = vector<T>(2 * size, e);
                        lazy = vector<U>(size, id);
                        for (int i = 0; i < _n; i++) node[size + i] = v[i];
                        for (int i = size - 1; i >= 1; i--) {
                            update(i);
                        }
                    }
    
    void set(int p, T x) {
        assert(0 <= p && p < _n);
        p += size;
        for (int i = log; i >= 1; i--) push(p >> i);
        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;

        l += size;
        r += size;

        for (int i = log; i >= 1; i--) {
            if (((l >> i) << i) != l) push(l >> i);
            if (((r >> i) << i) != r) push(r >> i);
        }

        T sml = e, smr = e;
        while (l < r) {
            if (l & 1) sml = op(sml, node[l++]);
            if (r & 1) smr = op(node[--r], smr);
            l >>= 1;
            r >>= 1;
        }

        return op(sml, smr);
    }

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

    void apply(int p, U val) {
        assert(0 <= p && p < _n);
        p += size;
        for (int i = log; i >= 1; i--) push(p >> i);
        node[p] = val == id ? node[p] : mapping(node[p], val);
        for (int i = 1; i <= log; i++) update(p >> i);
    }

    void apply(int l, int r, U val) {
        if (l >= r) return;

        l += size;
        r += size;

        for (int i = log; i >= 1; i--) {
            if (((l >> i) << i) != l) push(l >> i);
            if (((r >> i) << i) != r) push((r - 1) >> i);
        }

        {
            int l2 = l, r2 = r;
            while (l < r) {
                if (l & 1) all_apply(l++, val);
                if (r & 1) all_apply(--r, val);
                l >>= 1;
                r >>= 1;
            }
            l = l2;
            r = r2;
        }

        for (int i = 1; i <= log; i++) {
            if (((l >> i) << i) != l) update(l >> i);
            if (((r >> i) << i) != r) update((r - 1) >> i);
        }
    }

    template <typename C> 
    int max_right(int l, const C& check) {
        assert(0 <= l && l <= _n);
        assert(check(e));
        if (l == _n) return _n;
        l += size;
        for (int i = log; i >= 1; i--) push(l >> i);
        T sm = e;
        do {
            while (~l & 1) l >>= 1;
            if (!check(op(sm, node[l]))) {
                while (l < size) {
                    push(l);
                    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 <typename C>
    int min_left(int r, const C& check) {
        assert(0 <= r && r <= _n);
        assert(check(e));
        if (r == 0) return 0;
        r += size;
        for (int i = log; i >= 1; i--) push((r - 1) >> i);
        T sm = e;
        do {
            r--;
            while (r > 1 && (r & 1)) r >>= 1;
            if (!check(op(node[r], sm))) {
                while (r < size) {
                    push(r);
                    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);
        p += size;
        for (int i = log; i >= 1; i--) push(p >> i);
        return node[p];
    }

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

    void all_apply(int k, U val) {
        node[k] = val == id ? node[k] : mapping(node[k], val);
        if (k < size) lazy[k] = composition(lazy[k], val);
    }

    void push(int k) {
        if (lazy[k] == id) return;
        all_apply(2 * k, lazy[k]);
        all_apply(2 * k + 1, lazy[k]);
        lazy[k] = id;
    }  
};

int main() {
    int N,M; cin >> N >> M;
    vector<int> A(N+1);
    vector<pii> R(N+1,pii(-1,-1));
    int rank = 0;
    rep(i,M) {
        int l,r,p; cin >> l >> r >> p;
        l--;
        R[r] = pii(l,p);
        if (p != 0) {
            A[l]++;
            A[r]--;
            rank++;
        }
    } 
    rep(i,N) A[i+1] += A[i];
    mint ans = 2;
    int cnt = 0;
    rep(i,N) if (A[i]) cnt++;
    ans ^= (cnt-rank);

    auto f=[](mint a, mint b) {return a+b;};
    auto g=[](mint a, mint b) {return a*b;};
    const mint e = 0;
    const mint id = 1;
    LazySegmentTree seg(f,g,g,e,id,N+1);
    seg.set(0,1);

    rep(i,N) {
        if (A[i]==0) {
            seg.set(i+1,seg.get(0,i+1));
            seg.apply(0,i+1,2);
        }
        if (R[i+1].second==0) {
            int l = R[i+1].first;
            seg.apply(0,l+1,0);
        }
    }
    ans *= seg.all_get();

    cout << ans << ln;
}
0