結果

問題 No.1222 -101
ユーザー mtsdmtsd
提出日時 2020-09-04 22:30:34
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 569 ms / 2,000 ms
コード長 7,911 bytes
コンパイル時間 1,610 ms
コンパイル使用メモリ 132,136 KB
実行使用メモリ 12,672 KB
最終ジャッジ日時 2024-05-04 23:57:09
合計ジャッジ時間 9,596 ms
ジャッジサーバーID
（参考情報） 		judge4 / 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 1 ms
6,812 KB
testcase_02 AC 2 ms
6,940 KB
testcase_03 AC 1 ms
6,940 KB
testcase_04 AC 1 ms
6,944 KB
testcase_05 AC 2 ms
6,944 KB
testcase_06 AC 2 ms
6,940 KB
testcase_07 AC 1 ms
6,940 KB
testcase_08 AC 2 ms
6,940 KB
testcase_09 AC 2 ms
6,940 KB
testcase_10 AC 290 ms
11,904 KB
testcase_11 AC 278 ms
11,776 KB
testcase_12 AC 422 ms
12,160 KB
testcase_13 AC 405 ms
12,160 KB
testcase_14 AC 393 ms
12,160 KB
testcase_15 AC 345 ms
12,160 KB
testcase_16 AC 367 ms
12,288 KB
testcase_17 AC 382 ms
12,160 KB
testcase_18 AC 329 ms
12,032 KB
testcase_19 AC 333 ms
12,032 KB
testcase_20 AC 365 ms
12,160 KB
testcase_21 AC 361 ms
12,160 KB
testcase_22 AC 2 ms
6,940 KB
testcase_23 AC 2 ms
6,944 KB
testcase_24 AC 2 ms
6,940 KB
testcase_25 AC 2 ms
6,944 KB
testcase_26 AC 2 ms
6,940 KB
testcase_27 AC 1 ms
6,944 KB
testcase_28 AC 2 ms
6,940 KB
testcase_29 AC 2 ms
6,940 KB
testcase_30 AC 2 ms
6,940 KB
testcase_31 AC 2 ms
6,940 KB
testcase_32 AC 569 ms
12,672 KB
testcase_33 AC 568 ms
12,544 KB
testcase_34 AC 237 ms
11,776 KB
testcase_35 AC 240 ms
11,904 KB
testcase_36 AC 239 ms
11,904 KB
testcase_37 AC 239 ms
11,904 KB
testcase_38 AC 235 ms
11,776 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 <algorithm>
#include <bitset>
#include <cassert>
#include <chrono>
#include <climits>
#include <cmath>
#include <complex>
#include <cstring>
#include <deque>
#include <functional>
#include <iostream>
#include <iomanip>
#include <list>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <unordered_map>
#include <unordered_set>
#include <vector>
#include <cstdint>
using namespace std;
typedef long long ll;
typedef vector<int> vi;
typedef pair<int,int> pii;
#define MP make_pair
#define PB push_back
#define inf 1000000007
#define rep(i,n) for(int i = 0; i < (int)(n); ++i)
#define all(x) (x).begin(),(x).end()

template<typename A, size_t N, typename T>
void Fill(A (&array)[N], const T &val){
    std::fill( (T*)array, (T*)(array+N), val );
}
 
template<class T> inline bool chmax(T &a, T b){
    if(a<b){
        a = b;
        return true;
    }
    return false;
}

template<class T> inline bool chmin(T &a, T b){
    if(a>b){
        a = b;
        return true;
    }
    return false;
}

template <unsigned int mod>
class ModInt {
private:
    unsigned int v;
    static unsigned int norm(const unsigned int& x){ return x < mod ? x : x - mod; }
    static ModInt make(const unsigned int& x){ ModInt m; return m.v = x, m; }
    static ModInt inv(const ModInt& x){ return make(inverse(x.v, mod)); }
    static unsigned int inverse(int a, int m){
        int u[] = {a, 1, 0}, v[] = {m, 0, 1}, t;
        while(*v){
            t = *u / *v;
            swap(u[0] -= t * v[0], v[0]), swap(u[1] -= t * v[1], v[1]), swap(u[2] -= t * v[2], v[2]);
        }
        return (u[1] % m + m) % m;
    }

public:
    ModInt() : v{0}{}
    ModInt(const long long val) : v{norm(val % mod + mod)} {}
    ModInt(const ModInt<mod>& n) : v{n()} {}
    explicit operator bool() const noexcept { return v != 0; }
    bool operator!() const noexcept { return !static_cast<bool>(*this); }
    ModInt& operator=(const ModInt& n){ return v = n(), (*this); }
    ModInt& operator=(const long long val){ return v = norm(val % mod + mod), (*this); }
    ModInt operator+() const { return *this; }
    ModInt operator-() const { return v == 0 ? make(0) : make(mod - v); }
    ModInt operator+(const ModInt& val) const { return make(norm(v + val())); }
    ModInt operator-(const ModInt& val) const { return make(norm(v + mod - val())); }
    ModInt operator*(const ModInt& val) const { return make((long long)v * val() % mod); }
    ModInt operator/(const ModInt& val) const { return *this * inv(val); }
    ModInt& operator+=(const ModInt& val){ return *this = *this + val; }
    ModInt& operator-=(const ModInt& val){ return *this = *this - val; }
    ModInt& operator*=(const ModInt& val){ return *this = *this * val; }
    ModInt& operator/=(const ModInt& val){ return *this = *this / val; }
    ModInt operator+(const long long val) const { return ModInt{v + val}; }
    ModInt operator-(const long long val) const { return ModInt{v - val}; }
    ModInt operator*(const long long val) const { return ModInt{(long long)v * (val % mod)}; }
    ModInt operator/(const long long val) const { return ModInt{(long long)v * inv(val)}; }
    ModInt& operator+=(const long long val){ return *this = *this + val; }
    ModInt& operator-=(const long long val){ return *this = *this - val; }
    ModInt& operator*=(const long long val){ return *this = *this * val; }
    ModInt& operator/=(const long long val){ return *this = *this / val; }
    bool operator==(const ModInt& val) const { return v == val.v; }
    bool operator!=(const ModInt& val) const { return !(*this == val); }
    bool operator==(const long long val) const { return v == norm(val % mod + mod); }
    bool operator!=(const long long val) const { return !(*this == val); }
    unsigned int operator()() const { return v; }
    friend ModInt operator+(const long long val, const ModInt& n) { return n + val; }
    friend ModInt operator-(const long long val, const ModInt& n) { return ModInt{val - n()}; }
    friend ModInt operator*(const long long val, const ModInt& n) { return n * val; }
    friend ModInt operator/(const long long val, const ModInt& n) { return ModInt{val} / n; }
    friend bool operator==(const long long val, const ModInt& n) { return n == val; }
    friend bool operator!=(const long long val, const ModInt& n) { return !(val == n); }
    friend istream& operator>>(istream& is, ModInt& n){
        unsigned int v;
        return is >> v, n = v, is;
    }
    friend ostream& operator<<(ostream& os, const ModInt& n){ return (os << n()); }
    friend ModInt mod_pow(ModInt x, long long n){
        ModInt ans = 1;
        while(n){
            if(n & 1) ans *= x;
            x *= x, n >>= 1;
        }
        return ans;
    }
};

#define MOD 1000000007
using mod = ModInt<MOD>;


template<typename T> class segtree {
private:
    int n,sz,h; vector<T> node, lazy_update, lazy_add; vector<bool> lazyFlag;
public:
    segtree(vector<T> v) : n(1), sz((int)v.size()), h(0){
        while(n < sz) n *= 2, h++;
        node.resize(2*n, 0);
        lazy_update.resize(2*n, 0); lazyFlag.resize(2*n, false);
        lazy_add.resize(2*n, 1);
        for(int i = 0; i < sz; i++) node[i+n] = v[i];
        for(int i=n-1; i>=1; i--) node[i] = node[2*i] + node[2*i+1];
    }
    void eval(int k) {
        if(lazyFlag[k]){
            lazy_update[k] *= lazy_add[k];
            node[k] = lazy_update[k];
            if(k < n) {
                lazy_add[2*k] = lazy_add[2*k+1] = 0;
                lazy_update[2*k] = lazy_update[2*k+1] = lazy_update[k] ;
                lazyFlag[2*k] = lazyFlag[2*k+1] = true;
            }
            lazy_add[k] = 1, lazyFlag[k] = false;
        }else if(lazy_add[k] != 0){
            node[k] *= lazy_add[k];
            if(k < n){
                lazy_add[2*k] *= lazy_add[k]; lazy_add[2*k+1] *= lazy_add[k] ;
            }
            lazy_add[k] = 1;
        }
    }
    void update(int a, int b, T x, int k=1, int l=0, int r=-1) {
        if(r < 0) r = n;
        eval(k);
        if(b <= l || r <= a) return;
        if(a <= l && r <= b){
            lazy_update[k] = x*(r-l); lazyFlag[k] = true; eval(k);
        }else{
            update(a, b, x, 2*k, l, (l+r)/2); update(a, b, x, 2*k+1, (l+r)/2, r);
            node[k] = node[2*k] + node[2*k+1];
        }
    }
    void add(int a, int b, T x, int k=1, int l=0, int r=-1){
        if(r < 0) r = n;
        eval(k);
        if(b <= l || r <= a) return;
        if(a <= l && r <= b){
            lazy_add[k] *= x; eval(k);
        }else{
            add(a, b, x, 2*k, l, (l+r)/2); add(a, b, x, 2*k+1, (l+r)/2, r);
            node[k] = node[2*k] + node[2*k+1];
        }
    }
    T query(int a, int b) {
        a += n, b += n - 1;
        for(int i = h; i > 0; i--) eval(a >> i), eval(b >> i);
        b++;
        T res1 = 0, res2 = 0;
        while(a < b) {
            if(a & 1) eval(a), res1 += node[a++];
            if(b & 1) eval(--b), res2 += node[b];
            a >>= 1, b >>= 1;
        }
        return res1 + res2;
    }
    void print(){for(int i = 0; i < sz; i++)cout<<query(i,i+1)<< " ";cout<<endl;}
};
int ng[200010];
int Q[200010];
int main(){
    int n,m;
    cin >> n >> m;
    mod P = 1;
    rep(i,m){
        int l,r,p;
        cin >> l >> r >> p;
        if(p!=0){
            ng[l]++;
            ng[r+1]--;
            P *= 2;
        }else{
            Q[r] = l;
        }
    }
    rep(i,n){
        ng[i+1] += ng[i];
    }
    vector<mod> v(n+1);
    v[0] = 1;
    segtree<mod> sg(v);
    for(int i=1;i<=n;i++){
        if(ng[i]){
            sg.add(0,i,2);
        }else{
            sg.update(i,i+1,sg.query(0,i));
            sg.add(0,i,2);
            
        }
        if(Q[i]!=0){
            sg.update(0,Q[i],0);       
        }
        // cerr << "test " << i << ": ";
        // sg.print();
    }
    cout << sg.query(0,n+1) / P << endl;
    return 0;
}
0