test/SegmentTree.test.cpp

• View this file on GitHub
• Last update: 2021-09-12 23:44:25+09:00
• Problem: https://judge.yosupo.jp/problem/range_affine_range_sum

Depends on

• math/extgcd.cpp
• mod int (math/modint.cpp)
• Lazy Segment Tree (structure/SegmentTree.cpp)
• template/template.cpp

Code

#define PROBLEM "https://judge.yosupo.jp/problem/range_affine_range_sum"

#include "../structure/SegmentTree.cpp"
#include "../math/modint.cpp"

constexpr int mod=998244353;

using modint=mint<mod>;
 
using PM=pair<modint,modint>;
auto f=[](modint a,modint b,int sz)->modint{return a+b;};
auto g=[](modint a,PM b,int sz)->modint{return a*b.first+b.second*modint(sz);};
auto h=[](PM a,PM b,int sz)->PM{return PM(a.first*b.first,a.second*b.first+b.second);};
 
int main(){
	cin.tie(0);ios::sync_with_stdio(false);
	int N,Q;
	cin>>N>>Q;
	Segtree<modint,PM,f,g,h>segtree(N,0,PM(1,0));
	rep(i,N){
		int a;cin>>a;
		segtree.update(i,i+1,PM(1,a));
	}
	while(Q--){
		int t;cin>>t;
		if(!t){
			int l,r,b,c;cin>>l>>r>>b>>c;
			segtree.update(l,r,PM(b,c));
		}else {
			int l,r;cin>>l>>r;
			cout<<segtree.query(l,r)<<"\n";
		}
	}
}

#line 1 "test/SegmentTree.test.cpp"
#define PROBLEM "https://judge.yosupo.jp/problem/range_affine_range_sum"

#line 2 "template/template.cpp"
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define rep(i, n) for (int i = 0; i < n; i++)
#define REP(i, n) for (int i = 1; i < n; i++)
#define rev(i, n) for (int i = n - 1; i >= 0; i--)
#define REV(i, n) for (int i = n - 1; i > 0; i--)
#define all(v) v.begin(), v.end()
#define PL pair<ll, ll>
#define PI pair<int, int>
#define pi acos(-1)
#define len(s) (int)s.size()
#define compress(v) \
    sort(all(v));   \
    v.erase(unique(all(v)), v.end());
#define comid(v, x) lower_bound(all(v), x) - v.begin()

template<class T>
using prique=priority_queue<T,vector<T>,greater<>>;

template <class T, class U>
inline bool chmin(T &a, U b) {
    if (a > b) {
        a = b;
        return true;
    }
    return false;
}
template <class T, class U>
inline bool chmax(T &a, U b) {
    if (a < b) {
        a = b;
        return true;
    }
    return false;
}
constexpr ll inf = 3e18;
#line 3 "structure/SegmentTree.cpp"

template <typename Monoid,
          typename OperatorMonoid,
          Monoid (*f)(Monoid, Monoid, int),
          Monoid (*g)(Monoid, OperatorMonoid, int),
          OperatorMonoid (*h)(OperatorMonoid, OperatorMonoid, int)>
struct Segtree {
    int size = 1;

   private:
    vector<Monoid> dat;
    vector<OperatorMonoid> lazy;
    Monoid M;
    OperatorMonoid OM;

   public:
    void eval(int k, int l, int r) {
        if (lazy[k] != OM) {
            dat[k] = g(dat[k], lazy[k], r - l);
            if (r - l > 1) {
                lazy[(k << 1) + 1] = h(lazy[(k << 1) + 1], lazy[k], r - l);
                lazy[(k << 1) + 2] = h(lazy[(k << 1) + 2], lazy[k], r - l);
            }
            lazy[k] = OM;
        }
    }
    void update(int a, int b, OperatorMonoid M, int k = 0, int l = 0, int r = -1) {
        if (r == -1) r = size;
        eval(k, l, r);
        if (r <= a || b <= l) return;
        if (a <= l && r <= b) {
            lazy[k] = h(lazy[k], M, r - l);
            eval(k, l, r);
            return;
        }
        update(a, b, M, (k << 1) + 1, l, (l + r) >> 1);
        update(a, b, M, (k << 1) + 2, (l + r) >> 1, r);
        dat[k] = f(dat[(k << 1) + 1], dat[(k << 1) + 2], r - l);
    }
    Monoid query(int a, int b, int k = 0, int l = 0, int r = -1) {
        if (r == -1) r = size;
        eval(k, l, r);
        if (r <= a || b <= l) return M;
        if (a <= l && r <= b) return dat[k];
        Monoid lv = query(a, b, (k << 1) + 1, l, (l + r) >> 1);
        Monoid rv = query(a, b, (k << 1) + 2, (l + r) >> 1, r);
        return f(lv, rv, r - l);
    }
    template <class C>
    int minLeft(int a, int b, C &check, Monoid x, int k = 0, int l = 0, int r = -1) {
        if (r == -1) r = size;
        eval(k, l, r);
        if (r <= a || b <= l || !check(dat[k], x)) return -1;
        if (r - l == 1) return l;
        int lv = minLeft(a, b, check, x, (k << 1) + 1, l, (l + r) >> 1);
        if (lv != -1) return lv;
        return minLeft(a, b, check, x, (k << 1) + 2, (l + r) >> 1, r);
    }
    template <class C>
    int maxRight(int a, int b, C &check, Monoid x, int k = 0, int l = 0, int r = -1) {
        if (r == -1) r = size;
        eval(k, l, r);
        if (r <= a || b <= l || !check(dat[k], x)) return -1;
        if (r - l == 1) return l;
        int rv = maxRight(a, b, check, x, (k << 1) + 2, (l + r) >> 1, r);
        if (rv != -1) return rv;
        return maxRight(a, b, check, x, (k << 1) + 1, l, (l + r) >> 1);
    }
    void set(int a, Monoid x) {
        dat[a + size - 1] = x;
    }
    void init(int k = 0, int l = 0, int r = -1) {
        if (r == -1) r = size;
        if (r - l == 1) return;
        init((k << 1) + 1, l, (l + r) >> 1);
        init((k << 1) + 2, (l + r) >> 1, r);
        dat[k] = f(dat[k * 2 + 1], dat[k * 2 + 2], r - l);
    }
    Segtree(int x, Monoid M, OperatorMonoid OM)
        : M(M), OM(OM) {
        while (size < x) size <<= 1;
        dat.resize((size << 1) - 1, M);
        lazy.resize((size << 1) - 1, OM);
    }
};

/*
@brief Lazy Segment Tree
@docs docs/SegmentTree.md
*/
#line 3 "math/extgcd.cpp"

ll extGCD(ll a, ll b, ll &x, ll &y) {
    if (!b) {
        x = 1;
        y = 0;
        return a;
    }
    ll d = extGCD(b, a % b, y, x);
    y -= a / b * x;
    return d;
}

ll modinv(ll a, ll m) {
    ll x, y;
    extGCD(a, m, x, y);
    return (x % m + m) % m;
}
#line 4 "math/modint.cpp"

template <int MOD>
struct mint {
    int32_t n;
    mint() : n(0) {}
    mint(ll x) : n(x >= 0 ? x % MOD : (MOD - (-x) % MOD) % MOD) {}

    mint &operator+=(const mint &p) {
        if ((n += p.n) >= MOD) n -= MOD;
        return *this;
    }
    mint &operator-=(const mint &p) {
        if ((n += MOD - p.n) >= MOD) n -= MOD;
        return *this;
    }
    mint &operator*=(const mint &p) {
        n = 1ll * n * p.n % MOD;
        return *this;
    }
    mint &operator/=(const mint &p) {
        *this *= p.inverse();
        return *this;
    }
    mint operator-() const { return mint(-n); }
    mint operator+(const mint &p) const { return mint(*this) += p; }
    mint operator-(const mint &p) const { return mint(*this) -= p; }
    mint operator*(const mint &p) const { return mint(*this) *= p; }
    mint operator/(const mint &p) const { return mint(*this) /= p; }
    bool operator==(const mint &p) const { return n == p.n; }
    bool operator!=(const mint &p) const { return n != p.n; }

    friend ostream &operator<<(ostream &os, const mint &p) {
        return os << p.n;
    }
    friend istream &operator>>(istream &is, mint &p) {
        int x;
        is >> x;
        p = mint(x);
        return is;
    }
    mint pow(int64_t x) const {
        mint res(1), mul(n);
        while (x > 0) {
            if (x & 1) res *= mul;
            mul *= mul;
            x >>= 1;
        }
        return res;
    }
    mint inverse() const {
        return mint(modinv(n,MOD));
    }
};
/*
@brief mod int
@docs docs/modint.md
*/
#line 5 "test/SegmentTree.test.cpp"

constexpr int mod=998244353;

using modint=mint<mod>;
 
using PM=pair<modint,modint>;
auto f=[](modint a,modint b,int sz)->modint{return a+b;};
auto g=[](modint a,PM b,int sz)->modint{return a*b.first+b.second*modint(sz);};
auto h=[](PM a,PM b,int sz)->PM{return PM(a.first*b.first,a.second*b.first+b.second);};
 
int main(){
	cin.tie(0);ios::sync_with_stdio(false);
	int N,Q;
	cin>>N>>Q;
	Segtree<modint,PM,f,g,h>segtree(N,0,PM(1,0));
	rep(i,N){
		int a;cin>>a;
		segtree.update(i,i+1,PM(1,a));
	}
	while(Q--){
		int t;cin>>t;
		if(!t){
			int l,r,b,c;cin>>l>>r>>b>>c;
			segtree.update(l,r,PM(b,c));
		}else {
			int l,r;cin>>l>>r;
			cout<<segtree.query(l,r)<<"\n";
		}
	}
}

Back to top page