結果

問題 No.1222 -101
ユーザー tokusakuraitokusakurai
提出日時 2020-10-03 18:53:35
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 314 ms / 2,000 ms
コード長 6,688 bytes
コンパイル時間 2,706 ms
コンパイル使用メモリ 225,680 KB
実行使用メモリ 24,388 KB
最終ジャッジ日時 2024-07-18 04:46:54
合計ジャッジ時間 8,185 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge1
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
6,812 KB
testcase_01 AC 2 ms
6,944 KB
testcase_02 AC 2 ms
6,940 KB
testcase_03 AC 1 ms
6,944 KB
testcase_04 AC 2 ms
6,940 KB
testcase_05 AC 1 ms
6,944 KB
testcase_06 AC 1 ms
6,944 KB
testcase_07 AC 1 ms
6,940 KB
testcase_08 AC 2 ms
6,940 KB
testcase_09 AC 1 ms
6,940 KB
testcase_10 AC 110 ms
22,740 KB
testcase_11 AC 113 ms
22,800 KB
testcase_12 AC 233 ms
14,292 KB
testcase_13 AC 222 ms
14,256 KB
testcase_14 AC 223 ms
14,196 KB
testcase_15 AC 169 ms
21,184 KB
testcase_16 AC 195 ms
14,512 KB
testcase_17 AC 217 ms
14,072 KB
testcase_18 AC 164 ms
21,060 KB
testcase_19 AC 178 ms
14,648 KB
testcase_20 AC 210 ms
14,148 KB
testcase_21 AC 195 ms
14,272 KB
testcase_22 AC 2 ms
6,940 KB
testcase_23 AC 1 ms
6,940 KB
testcase_24 AC 1 ms
6,944 KB
testcase_25 AC 2 ms
6,940 KB
testcase_26 AC 1 ms
6,940 KB
testcase_27 AC 1 ms
6,940 KB
testcase_28 AC 2 ms
6,940 KB
testcase_29 AC 1 ms
6,940 KB
testcase_30 AC 1 ms
6,940 KB
testcase_31 AC 1 ms
6,944 KB
testcase_32 AC 310 ms
24,388 KB
testcase_33 AC 314 ms
24,324 KB
testcase_34 AC 137 ms
6,940 KB
testcase_35 AC 141 ms
6,944 KB
testcase_36 AC 142 ms
6,940 KB
testcase_37 AC 136 ms
6,940 KB
testcase_38 AC 142 ms
6,940 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 # 

#include <bits/stdc++.h>
using namespace std;
#define rep(i, n) for(int i = 0; i < n; i++)
#define rep2(i, x, n) for(int i = x; i <= n; i++)
#define rep3(i, x, n) for(int i = x; i >= n; i--)
#define elif else if
#define sp(x) fixed << setprecision(x)
#define pb push_back
#define eb emplace_back
#define all(x) x.begin(), x.end()
#define sz(x) (int)x.size()
using ll = long long;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;
const int MOD = 1000000007;
//const int MOD = 998244353;
const int inf = (1<<30)-1;
const ll INF = (1LL<<60)-1;
const double pi = acos(-1.0);
const double EPS = 1e-10;
template<typename T> bool chmax(T &x, const T &y) {return (x < y)? (x = y, true) : false;};
template<typename T> bool chmin(T &x, const T &y) {return (x > y)? (x = y, true) : false;};

template<int mod>
struct Mod_Int{
    ll x;

    Mod_Int() : x(0) {}

    Mod_Int(ll y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}

    Mod_Int &operator += (const Mod_Int &p){
        x = (x + p.x) % mod;
        return *this;
    }

    Mod_Int &operator -= (const Mod_Int &p){
        x = (x + mod - p.x) % mod;
        return *this;
    }

    Mod_Int &operator *= (const Mod_Int &p){
        x = (x * p.x) % mod;
        return *this;
    }

    Mod_Int &operator /= (const Mod_Int &p){
        *this *= p.inverse();
        return *this;
    }

    Mod_Int &operator ++ () {return *this += Mod_Int(1);}

    Mod_Int operator ++ (int){
        Mod_Int tmp = *this;
        ++*this;
        return tmp;
    }

    Mod_Int &operator -- () {return *this -= Mod_Int(1);}

    Mod_Int operator -- (int){
        Mod_Int tmp = *this;
        --*this;
        return tmp;
    }

    Mod_Int operator - () const {return Mod_Int(-x);}

    Mod_Int operator + (const Mod_Int &p) const {return Mod_Int(*this) += p;}

    Mod_Int operator - (const Mod_Int &p) const {return Mod_Int(*this) -= p;}

    Mod_Int operator * (const Mod_Int &p) const {return Mod_Int(*this) *= p;}

    Mod_Int operator / (const Mod_Int &p) const {return Mod_Int(*this) /= p;}

    bool operator == (const Mod_Int &p) const {return x == p.x;}

    bool operator != (const Mod_Int &p) const {return x != p.x;}

    Mod_Int inverse() const {
        assert(*this != Mod_Int(0));
        return pow(mod-2);
    }

    Mod_Int pow(ll k) const{
        Mod_Int now = *this, ret = 1;
        while(k){
            if(k&1) ret *= now;
            now *= now, k >>= 1;
        }
        return ret;
    }

    friend ostream &operator << (ostream &os, const Mod_Int &p){
        return os << p.x;
    }

    friend istream &operator >> (istream &is, Mod_Int &p){
        ll a;
        is >> a;
        p = Mod_Int<mod>(a);
        return is;
    }
};

using mint = Mod_Int<MOD>;

template<typename Monoid, typename Operator_Monoid>
struct Lazy_Segment_Tree{
    vector<Monoid> seg;
    vector<Operator_Monoid> lazy;
    const Monoid e1;
    const Operator_Monoid e2;
    const int n;

    Monoid f(const Monoid &a, const Monoid &b) const{
        return {a.first+b.first, a.second+b.second};
    }

    Monoid g(const Monoid &a, const Operator_Monoid &b) const{
        return {a.first+b*a.second, a.second};
    }

    Operator_Monoid h(const Operator_Monoid &a, const Operator_Monoid &b) const{
        return a+b;
    }
    
    Lazy_Segment_Tree(const vector<Monoid> &v, const Monoid &e1, const Operator_Monoid &e2)
        : e1(e1), e2(e2), n(1<<(32-__builtin_clz(sz(v)-1))){
        seg.assign(2*n, e1), lazy.assign(2*n, e2);
        copy(all(v), seg.begin()+n);
        rep3(i, n-1, 1) seg[i] = f(seg[2*i], seg[2*i+1]);
    }
    
    void eval(int i, int l, int r){
        if(lazy[i] != e2){
            seg[i] = g(seg[i], lazy[i]);
            if(r-l > 1){
                lazy[2*i] = h(lazy[2*i] ,lazy[i]);
                lazy[2*i+1] = h(lazy[2*i+1], lazy[i]);
            }
            lazy[i] = e2;
        }
    }
    
    void apply(int a, int b, const Operator_Monoid &x, int i, int l, int r){
        eval(i, l, r);
        if(a >= r || b <= l) return;
        if(a <= l && r <= b){
            lazy[i] = h(lazy[i], x);
            eval(i, l, r);
        }
        else{
            apply(a, b, x, 2*i, l, (l+r)/2);
            apply(a, b, x, 2*i+1, (l+r)/2, r);
            seg[i] = f(seg[2*i], seg[2*i+1]);
        }
    }

    void apply(int a, int b, const Operator_Monoid &x) {apply(a, b, x, 1, 0, n);}
    
    Monoid query(int a, int b, int i, int l, int r){
        eval(i, l, r);
        if(a >= r || b <= l) return e1;
        if(a <= l && r <= b) return seg[i];
        Monoid vl = query(a, b, 2*i, l, (l+r)/2);
        Monoid vr = query(a, b, 2*i+1, (l+r)/2, r);
        return f(vl, vr);
    }

    Monoid query(int a, int b) {return query(a, b, 1, 0, n);}
    
    void update(int i, int l, int r){
        seg[i] = g(seg[i], lazy[i]);
        if(r-l > 1){
            lazy[2*i] = h(lazy[2*i], lazy[i]);
            lazy[2*i+1] = h(lazy[2*i+1], lazy[i]);
            update(2*i, l, (l+r)/2);
            update(2*i+1, (l+r)/2, r);
        }
        lazy[i] = e2;
    }

    void update() {update(1, 0, n);}
    
    Monoid operator [] (int i) const {return seg[n+i];}
};

int main(){
    int N, M;
    cin >> N >> M;

    vector<pii> tmp;
    vector<int> rs(N, 0);
    rep(i, M){
        int l, r, p; cin >> l >> r >> p; l--;
        if(p == 0) tmp.eb(r, l);
        else chmax(rs[l], r);
    }
    
    vector<bool> zero(N, true);
    int ptr = 0;
    rep(i, N){
        chmax(ptr, rs[i]);
        if(ptr > i) zero[i] = false;
    }
    vector<int> rem;
    rep(i, N){
        if(zero[i]) rem.pb(i);
    }
    int n = sz(rem);

    mint ans = mint(2).pow(N-n-(M-sz(tmp)));
    
    for(auto &e: tmp){
        e.first = lower_bound(all(rem), e.first)-rem.begin();
        e.second = lower_bound(all(rem), e.second)-rem.begin();
        if(e.first == e.second) {cout << 0 << endl; return 0;}
    }

    sort(all(tmp));
    vector<int> query(n, -1);
    ptr = -1;
    for(auto &e: tmp){
        if(chmax(ptr, e.second)) query[e.second] = e.first;
    }

    vector<pair<mint, mint>> v(n+1);
    rep(i, n+1){
        v[i].first = 0;
        if(i == 0) v[i].second = 1, v[i].first = 1;
        else v[i].second = v[i-1].second*2;
    }
    Lazy_Segment_Tree<pair<mint, mint>, mint> seg(v, {0, 0}, 0);

    mint inv = mint(1)/mint(2);
    mint pw[n+1];
    pw[0] = 1;
    rep(i, n) pw[i+1] = pw[i]*inv;

    rep(i, n){
        mint tmp = seg.query(i, i+1).first;
        if(query[i] == -1) seg.apply(i+1, i+2, tmp*3*pw[i+1]);
        else seg.apply(i+1, query[i]+1, tmp*pw[i+1]);
    }

    ans *= seg.query(n, n+1).first;
    cout << ans << endl;
}
0