• 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
    ", 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
    ", query(1, l, r));
    	}
    	return 0;
    }
    
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  • 原文地址:https://www.cnblogs.com/sjzez-llb/p/14002052.html
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