模板-线段树

区间加、区间查询

#include<cstdio>
#include<cstring>
#include<iostream>
#include<algorithm>
using namespace std;

const int N = 1e5 + 10;
struct SegmentTree{
	int l, r;
	long long sum, add;
}t[N * 4]; 
int a[N], n, m;

void pushup(int p) {
	t[p].sum = t[p << 1].sum + t[p << 1 | 1].sum;
}

void build(int p, int l, int r){
	t[p].l = l;
	t[p].r = r;
	if(l == r){
		t[p].sum = a[l];
		return;
	}
	int mid = l + r >> 1;
	build(p << 1, l, mid);
	build (p << 1 | 1, mid + 1, r);
	pushup(p);
}

void pushdown(int p) {
	if(t[p].add) {
		int ls = p << 1;
		int rs = p << 1 | 1;
		t[ls].sum += t[p].add * (t[ls].r - t[ls].l + 1);
		t[rs].sum += t[p].add * (t[rs].r - t[rs].l + 1);
		t[ls].add += t[p].add;
		t[rs].add += t[p].add;
		t[p].add = 0;
	}
}

void change(int p, int l, int r, int d) {
	if(l <= t[p].l && r >= t[p].r) {
		t[p].sum += (long long)d * (t[p].r - t[p].l + 1);
		t[p].add += d;
		return;
	}
	pushdown(p);
	int mid = t[p].l + t[p].r >> 1;
	if(l <= mid) change(p << 1, l, r, d);
	if(r > mid) change(p << 1 | 1, l, r, d);
	pushup(p);
}

long long ask(int p, int l, int r) {
	if(l <= t[p].l && r >= t[p].r) return t[p].sum;
	pushdown(p);
	int mid = t[p].l + t[p].r >> 1;
	long long val = 0;
	if(l <= mid) val += ask(p << 1, l, r);
	if(r > mid) val += ask(p << 1 | 1, l, r);
	return val;
}

int main() {
	int n, m;
	scanf("%d%d", &n, &m);
	for(int i = 1; i <= n ; i ++)
		scanf("%d", &a[i]);
	build(1, 1, n);
	int op, x, y, k;
	for(int i = 1; i <= m ; i ++) {
		scanf("%d%d%d", &op, &x, &y);
		if(op == 1){
			scanf("%d", &k);
			change(1, x, y, k);
		}
		else{
			printf("%lld\n", ask(1, x, y));
		}
	}
	return 0;
}

区间加、区间乘、区间查询

#include<cstdio>
#include<cstring>
#include<iostream>
#include<algorithm>
using namespace std;

#define LL long long

const int N = 1e5 + 10;

int n, p, m;
int a[N];
struct TREE{
	int l, r;
	LL sum, add, mul;	
}tr[N * 4];

void pushup(int u) {
	tr[u].sum = (tr[u << 1].sum + tr[u << 1 | 1].sum) % p;	
}

void eval(TREE &t, int add, int mul) {
	t.sum = ((LL)t.sum * mul + (LL)(t.r - t.l + 1) * add) % p;
	t.mul = (LL)t.mul * mul % p;
	t.add = ((LL)t.add * mul + add) % p;
}

void pushdown(int u) {
	eval(tr[u << 1], tr[u].add, tr[u].mul);
	eval(tr[u << 1 | 1], tr[u].add, tr[u].mul);
	tr[u].add = 0;
	tr[u].mul = 1;
}

void build(int u, int l, int r) {
	tr[u].l = l;
	tr[u].r = r;
	if(l == r){
		tr[u].sum = a[r];
		tr[u].add = 0;
		tr[u].mul = 1;
		return;
	}
	tr[u].sum = 0;
	tr[u].add = 0;
	tr[u].mul = 1;
	int mid = l + r >> 1;
	build(u << 1, l, mid);
	build(u << 1 | 1, mid + 1, r);
	pushup(u);
}

void modify(int u, int l, int r, int add, int mul) {
	if(tr[u].l >= l && tr[u].r <= r) eval(tr[u], add, mul);
	else {
		pushdown(u);
		int mid = tr[u].l + tr[u].r >> 1;
		if(l <= mid) modify(u << 1, l, r, add, mul);
		if(r > mid) modify(u << 1 | 1, l, r, add, mul);
		pushup(u);
	}
}

int query(int u, int l, int r) {
	if(tr[u].l >= l && tr[u].r <= r) return tr[u].sum;
	
	pushdown(u);
	int mid = tr[u].l + tr[u].r >> 1;
	int sum = 0;
	if(l <= mid) sum = query(u << 1, l, r);
	if(r > mid) sum = (sum + query(u << 1 | 1, l, r)) % p;
	return sum;
}

int main() {
	scanf("%d%d%d", &n, &m, &p);
	for(int i = 1; i <= n; i ++)
		scanf("%d", &a[i]);
	build(1, 1, n);
	while(m --) {
		int t, l, r, d;
		scanf("%d%d%d", &t, &l, &r);
		if(t == 1){
			scanf("%d", &d);
			modify(1, l, r, 0, d);
		}
		else if(t == 2) {
			scanf("%d", &d);
			modify(1, l, r, d, 1);
		}
		else printf("%lld\n", query(1, l, r));
	}
	return 0;
}
posted @ 2020-11-18 20:47  Lvlb2333  阅读(104)  评论(0编辑  收藏  举报