洛谷 P3373 【模板】线段树 2

洛谷 P3373 【模板】线段树 2

传送门

根据一大堆不知名的神奇原理，我们先放乘法标记，再放加法标记（其实是我不知道咋说......）

如果非要了解为什么先乘再加的话，click here-->

主要就是区间乘，区间加以及区间求和，下面就放代码吧

早期代码

//知识点:线段树
/*
By:Loceaner
*/
#include <cstdio>
#include <cstring>
#include <iostream>
#define int long long
using namespace std;

inline int read() {
	char c = getchar();
	int x = 0, f = 1;
	for( ; !isdigit(c); c = getchar()) if(c == '-') f = -1;
	for( ; isdigit(c); c = getchar()) x = (x << 3) + (x << 1) + (c ^ 48);
	return x * f;
}

const int N = 1e5 + 11;

int n, m, mod, a[N];

struct node {
	int sum, lazy1, lazy2, len;
} t[N << 2];

#define lson rt << 1
#define rson rt << 1 | 1

inline void pushup(int rt) {
	t[rt].sum = (t[lson].sum + t[rson].sum) % mod;
}

void tag2(int rt, int k) {
	t[rt].sum = t[rt].sum * k % mod;
	t[rt].lazy2 *= k;
	t[rt].lazy2 %= mod;
	t[rt].lazy1 *= k;
	t[rt].lazy1 %= mod;
}

void tag1(int rt, int k) {
	t[rt].sum += t[rt].len * k;
	t[rt].sum %= mod;
	t[rt].lazy1 += k;
	t[rt].lazy1 %= mod;
}

inline void pushdown(int rt) {
	if(t[rt].lazy2 != 1) {
		tag2(lson, t[rt].lazy2);
		tag2(rson, t[rt].lazy2);
		t[rt].lazy2 = 1;
	}
	if(t[rt].lazy1) {
		tag1(lson, t[rt].lazy1);
		tag1(rson, t[rt].lazy1);
		t[rt].lazy1 = 0;
	}
}

void build(int rt, int l, int r) {
	t[rt].len = r - l + 1;
	t[rt].lazy1 = 0, t[rt].lazy2 = 1;
	if(l == r) {
		t[rt].sum = read();
		return;
	}
	int mid = (l + r) >> 1;
	build(lson, l, mid);
	build(rson, mid + 1, r);
	pushup(rt);
}

void add(int rt, int l, int r, int L, int R, int x) {
	if(L <= l && r <= R) return tag1(rt, x);
	pushdown(rt);
	int mid = (l + r) >> 1;
	if(L <= mid) add(lson, l, mid, L, R, x);
	if(R > mid) add(rson, mid + 1, r, L, R, x);
	pushup(rt);
}

void mul(int rt, int l, int r, int L, int R, int x) {
	if(L <= l && r <= R) return tag2(rt, x);
	pushdown(rt);
	int mid = (l + r) >> 1;
	if(L <= mid) mul(lson, l, mid, L, R, x);
	if(R > mid) mul(rson, mid + 1, r, L, R, x);
	pushup(rt);
}

int query(int rt, int l, int r, int L, int R) {
	int ans = 0;
	if(L <= l && r <= R) {
		ans += t[rt].sum;
		return ans;
	}
	pushdown(rt);
	int mid = (l + r) >> 1;
	if(L <= mid) ans += query(lson, l, mid, L, R) % mod;
	if(R > mid) ans += query(rson, mid + 1, r, L, R) % mod;
	return ans % mod;
}

signed main() {
	n = read(), m = read(), mod = read();
	build(1, 1, n);
	int opt, x, y, k;
	while(m--) {
		opt = read(), x = read(), y = read();
		if(opt == 1) {
			k = read();
			mul(1, 1, n, x, y, k);
		} else if(opt == 2) {
			k = read();
			add(1, 1, n, x, y, k);
		} else cout << query(1, 1, n, x, y) % mod << '\n';
	}
	return 0;
}

更新！

#include <cmath>
#include <cstdio>
#include <cstring>
#include <iostream>
#include <algorithm>
#define int long long
using namespace std;

const int A = 1e5 + 11;
const int B = 1e6 + 11;

inline int read() {
	char c = getchar(); int x = 0, f = 1;
	for( ; !isdigit(c); c = getchar()) if(c == '-') f = -1;
	for( ; isdigit(c); c = getchar()) x = x * 10 + (c ^ 48);
	return x * f;
}

int n, m, mod;

namespace Seg {
	#define lson rt << 1
	#define rson rt << 1 | 1
	struct tre {
		int l, r, w, lazy1, lazy2;
	} t[A << 2];
	inline void pushup(int rt) {
		t[rt].w = (t[lson].w + t[rson].w) % mod;
	}
	inline void tag1(int rt, int val) {
		t[rt].lazy1 *= val, t[rt].lazy2 *= val;
		t[rt].lazy1 %= mod, t[rt].lazy2 %= mod;		
		t[rt].w *= val, t[rt].w %= mod;
	}
	inline void tag2(int rt, int val) {
		t[rt].lazy2 += val; t[rt].lazy2 %= mod;
		t[rt].w += (t[rt].r - t[rt].l + 1) * val, t[rt].w %= mod;
	}
	inline void pushdown(int rt) {
		if(t[rt].lazy1 != 1) {
			tag1(lson, t[rt].lazy1);
			tag1(rson, t[rt].lazy1);
			t[rt].lazy1 = 1;
		}
		if(t[rt].lazy2) {
			tag2(lson, t[rt].lazy2);
			tag2(rson, t[rt].lazy2);
			t[rt].lazy2 = 0;
		}
	}
	inline void build(int rt, int l, int r) {
		t[rt].l = l, t[rt].r = r, t[rt].lazy1 = 1, t[rt].lazy2 = 0;
		if(l == r) { t[rt].w = read(); return; }
		int mid = (l + r) >> 1;
		build(lson, l, mid), build(rson, mid + 1, r);
		pushup(rt); return;
	}
	inline void mul(int rt, int l, int r, int val) {
		if(l <= t[rt].l && t[rt].r <= r) return tag1(rt, val);
		pushdown(rt);
		int mid = (t[rt].l + t[rt].r) >> 1;
		if(l <= mid) mul(lson, l, r, val);
		if(r > mid) mul(rson, l, r, val);
		pushup(rt); return;
	}
	inline void update(int rt, int l, int r, int val) {
		if(l <= t[rt].l && t[rt].r <= r) return tag2(rt, val);
		pushdown(rt);
		int mid = (t[rt].l + t[rt].r) >> 1;
		if(l <= mid) update(lson, l, r, val);
		if(r > mid) update(rson, l, r, val);
		pushup(rt); return;
	}
	inline int query(int rt, int l, int r) {
		if(l <= t[rt].l && t[rt].r <= r) { return t[rt].w % mod; }
		pushdown(rt);
		int mid = (t[rt].l + t[rt].r) >> 1, ans = 0;
		if(l <= mid) ans += query(lson, l, r), ans %= mod;
		if(r > mid) ans += query(rson, l, r), ans %= mod;
		return ans % mod;
	}
}

signed main() {
	n = read(), m = read(), mod = read();
	Seg::build(1, 1, n);
	while(m--) {
		int opt = read(), x = read(), y = read(), k;
		if(opt == 1) k = read() % mod, Seg::mul(1, x, y, k);
		else if(opt == 2) k = read() % mod, Seg::update(1, x, y, k);
		else cout << Seg::query(1, x, y) % mod << '\n';
	}
	return 0;
}