• CSU 2151 集训难度【多标记线段树】


    http://acm.csu.edu.cn/csuoj/problemset/problem?pid=2151

    Input

    第一行三个数n,m,v0 表示有n名萌新和m次调整,初始时全部萌新的集训难度都为v0

    第2~m+1行 每行三个数或四个数

    0 x y v 表示把 [x,y]区间内的萌新的集训难度都增加v

    1 x y v 表示把 [x,y]区间内的萌新的集训难度都变为v

    2 x y表示询问[x,y]区间内萌新的集训难度之和

    0<n,m<=10^5, |v|<=10^5

    Output

    每个询问一行,输出答案

    Sample Input

    3 5 0
    0 1 3 1
    1 2 3 2
    2 1 1  
    2 2 2
    2 2 3

    Sample Output

    1
    2
    4

    多标记线段树处理法(洛谷3373,codevs4927)

    #include<cstdio>
    #include<string>
    #include<cstdlib>
    #include<cmath>
    #include<iostream>
    #include<cstring>
    #include<set>
    #include<queue>
    #include<algorithm>
    #include<vector>
    #include<map>
    #include<cctype>
    #include<stack>
    #include<sstream>
    #include<list>
    #include<assert.h>
    #include<bitset>
    #include<numeric>
    #define debug() puts("++++")
    #define gcd(a,b) __gcd(a,b)
    #define lson l,mid,rt<<1
    #define rson mid+1,r,rt<<1|1
    #define fi first
    #define se second
    #define pb push_back
    #define sqr(x) ((x)*(x))
    #define ms(a,b) memset(a,b,sizeof(a))
    #define sz size()
    #define be begin()
    #define pu push_up
    #define pd push_down
    #define cl clear()
    #define mdzz int mid=(l+r)>>1;
    #define lowbit(x) -x&x
    #define all 1,n,1
    #define rep(i,x,n) for(int i=(x); i<(n); i++)
    #define in freopen("in.in","r",stdin)
    #define out freopen("out.out","w",stdout)
    using namespace std;
    typedef long long ll;
    typedef unsigned long long ULL;
    typedef pair<int,int> P;
    const int INF = 0x3f3f3f3f;
    const ll LNF = 1e18;
    const int maxn = 200010 + 20;
    const int maxm = 1e6 + 10;
    const double PI = acos(-1.0);
    const double eps = 1e-8;
    const int dx[] = {-1,1,0,0,1,1,-1,-1};
    const int dy[] = {0,0,1,-1,1,-1,1,-1};
    int dir[4][2] = {{0,1},{0,-1},{-1,0},{1,0}};
    const int mon[] = {0, 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31};
    const int monn[] = {0, 31, 29, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31};
    int n,m;
    int x,y,op;
    ll a[maxn];
    ll sum[maxn<<2],add[maxn<<2],cover[maxn<<2],z,v;
    void pushup(int rt)
    {
        sum[rt]=sum[rt<<1]+sum[rt<<1|1]; //区间查询和
    }
    void pushdown(int rt,int m)
    {
        if(cover[rt])
        {
            //区间覆盖
            cover[rt<<1] = cover[rt<<1|1] = cover[rt];
            sum[rt<<1] = cover[rt]*(m-(m>>1));
            sum[rt<<1|1] = cover[rt]*(m>>1);
            add[rt<<1] = add[rt<<1|1] =  0;     //set操作中取消add
            cover[rt] = 0;
        }
        if(add[rt])
        {
            //区间求和
            add[rt<<1]   += add[rt];
            add[rt<<1|1] += add[rt];
            sum[rt<<1] += add[rt]*(m-(m>>1));
            sum[rt<<1|1] += add[rt]*(m>>1);
            add[rt]=0;
        }
    }
    void build(int l,int r,int rt)
    {
        add[rt]=cover[rt]=0;
        if(l==r)
        {
            sum[rt]=v;
            return;
        }
        mdzz
        build(lson);
        build(rson);
        pushup(rt);
    }
    void update(int op,int L,int R,int c,int l,int r,int rt)
    {
        if(L<=l && R>=r)
        {
            if(op==0) //add
            {
                add[rt] += c;
                sum[rt] += (ll)c*(r-l+1);
            }
            else
            {
                cover[rt] = c;
                add[rt] = 0; //
                sum[rt] = (ll)c*(r-l+1);
            }
            return ;
        }
        pushdown(rt,r-l+1);
        mdzz
        if(L<=mid) update(op,L,R,c,lson);
        if(R>mid)  update(op,L,R,c,rson);
        pushup(rt);
    }
    ll query(int L,int R,int l,int r,int rt)
    {
        if(L<=l&&R>=r) return sum[rt];
        pushdown(rt,r-l+1);
        mdzz
        ll res=0;
        if(L<=mid) res += query(L,R,lson);
        if(R>mid) res += query(L,R,rson);
        return res;
    }
    
    int main()
    {
        while(~scanf("%d%d%lld",&n,&m,&v))
        {
            build(1,n,1);
            while(m--)
            {
                scanf("%d",&op);
                if(op==2)
                {
                    scanf("%d%d",&x,&y);
                    printf("%lld
    ",query(x,y,1,n,1));
                }
                else
                {
                    scanf("%d%d%lld",&x,&y,&z);
                    update(op,x,y,z,1,n,1);
                }
            }
        }
    }
    多次区间更新操作——>多个lazy
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  • 原文地址:https://www.cnblogs.com/Roni-i/p/9497269.html
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