• 【模板】线段树1


    题意简述

    已知一个数列,你需要进行下面两种操作:
    1.将某区间每一个数加上x
    2.求出某区间每一个数的和

    代码

    #include <cstdio>
    using namespace std;
    typedef long long ll;
    ll n, m, opt, x, y, k;
    ll a[400010], la[400010];
    void push_up(ll x)
    {
    	a[x] = a[x << 1] + a[x << 1 | 1];
    }
    void push_down(ll x, ll len)
    {
    	a[x << 1] += la[x] * (len - (len >> 1));
    	a[x << 1 | 1] += la[x] * (len >> 1);
    	la[x << 1] += la[x];
    	la[x << 1 | 1] += la[x];
    	la[x] = 0;
    }
    void build(ll x, ll l, ll r)
    {
    	if (l == r)
    	{
    		scanf("%d", &a[x]);
    		return;
    	}
    	ll mid = l + r >> 1;
    	build(x << 1, l, mid);
    	build(x << 1 | 1, mid + 1, r);
    	push_up(x);
    }
    void add(ll x, ll l, ll r, ll l1, ll r1)
    {
    	if (l1 <= l && r <= r1)
    	{
    		a[x] += (r - l + 1) * k;
    		la[x] += k;
    		return;
    	}
    	if (la[x]) push_down(x, r - l + 1);
    	ll mid = l + r >> 1;
    	if (l1 <= mid) add(x << 1, l, mid, l1, r1);
    	if (r1 >  mid) add(x << 1 | 1, mid + 1, r, l1, r1);
    	push_up(x);
    }
    ll query(ll x, ll l, ll r, ll l1, ll r1, ll ans = 0)
    {
    	if (l1 <= l && r <= r1)	return a[x];
    	if (la[x]) push_down(x, r - l + 1);
    	ll mid = l + r >> 1;
    	if (l1 <= mid) ans += query(x << 1, l, mid, l1, r1);
    	if (r1 >  mid) ans += query(x << 1 | 1, mid + 1, r, l1, r1);
    	return ans;
    }
    int main()
    {
    	scanf("%lld%lld", &n, &m);
    	build(1, 1, n);
    	for (register ll i = 1; i <= m; ++i)
    	{
    		scanf("%lld", &opt);
    		if (opt == 1)
    		{
    			scanf("%lld%lld%lld", &x, &y, &k);
    			add(1, 1, n, x, y);
    		}
    		else
    		{
    			scanf("%lld%lld", &x, &y);
    			printf("%lld
    ", query(1, 1, n, x, y));
    		}
    	}
    }
    
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  • 原文地址:https://www.cnblogs.com/xuyixuan/p/9470176.html
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