AC日记——由乃与大母神原型和偶像崇拜 洛谷 P3792

由乃与大母神原型和偶像崇拜

思路：

　　逆元+线段树维护和+线段树维护平方和+线段树维护最大最小值；

代码：

#include <bits/stdc++.h>

using namespace std;

#define maxn 500005
#define ll long long
#define llf ll
#define INF 0x7fffffff
#define True_Ans "damushen"
#define False_Ans "yuanxing"
#define mod (1000000009LL)
#define mod_ (833333341LL)

struct TreeNodeType {
    int l,r,mid,maxval,minval;
    ll sumval;
    llf sumval2;
};
struct TreeNodeType tree[maxn<<2];

int n,m,qmax,qmin;

ll qsum;

llf qsum2;

inline void in(int &now)
{
    char Cget=getchar();now=0;
    while(Cget>'9'||Cget<'0') Cget=getchar();
    while(Cget>='0'&&Cget<='9')
    {
        now=now*10+Cget-'0';
        Cget=getchar();
    }
}

inline void in(ll &now)
{
    char Cget=getchar();now=0;
    while(Cget>'9'||Cget<'0') Cget=getchar();
    while(Cget>='0'&&Cget<='9')
    {
        now=now*10+Cget-'0';
        Cget=getchar();
    }
}

void tree_build(int now,int l,int r)
{
    tree[now].l=l,tree[now].r=r;
    if(l==r)
    {
        in(tree[now].sumval),tree[now].sumval2=(tree[now].sumval*tree[now].sumval)%mod;
        tree[now].maxval=tree[now].sumval,tree[now].minval=tree[now].sumval;return;
    }
    tree[now].mid=l+r>>1,tree_build(now<<1,l,tree[now].mid),tree_build(now<<1|1,tree[now].mid+1,r);
    tree[now].sumval=tree[now<<1].sumval+tree[now<<1|1].sumval;
    tree[now].sumval2=(tree[now<<1].sumval2+tree[now<<1|1].sumval2)%mod;
    tree[now].maxval=max(tree[now<<1].maxval,tree[now<<1|1].maxval);
    tree[now].minval=min(tree[now<<1].minval,tree[now<<1|1].minval);
}

void tree_query(int now,int l,int r)
{
    if(tree[now].l>=l&&tree[now].r<=r)
    {
        qmax=max(qmax,tree[now].maxval),qmin=min(qmin,tree[now].minval);
        qsum+=tree[now].sumval,qsum2+=tree[now].sumval2;return;
    }
    if(l<=tree[now].mid) tree_query(now<<1,l,min(tree[now].mid,r));
    if(r>tree[now].mid) tree_query(now<<1|1,max(tree[now].mid+1,l),r);
}

void tree_change(int now,int to,int val_)
{
    if(tree[now].l==tree[now].r)
    {
        tree[now].sumval=val_,tree[now].maxval=val_,tree[now].minval=val_;
        tree[now].sumval2=(tree[now].sumval*tree[now].sumval)%mod;return;
    }
    if(to<=tree[now].mid) tree_change(now<<1,to,val_);
    else tree_change(now<<1|1,to,val_);
    tree[now].sumval=tree[now<<1].sumval+tree[now<<1|1].sumval;
    tree[now].sumval2=(tree[now<<1].sumval2+tree[now<<1|1].sumval2)%mod;
    tree[now].maxval=max(tree[now<<1].maxval,tree[now<<1|1].maxval);
    tree[now].minval=min(tree[now<<1].minval,tree[now<<1|1].minval);
}

llf Sum2(int r)
{
    llf R_=r;
    return (((((R_*(R_+1))%mod)*(R_*2+1))%mod)*833333341)%mod;
}

ll Sum(int l,int r)
{
    ll L_=l,s=r-l+1;
    return L_*s+s*(s-1)/2;
}

int main()
{
    in(n),in(m),tree_build(1,1,n);
    llf lfpos;ll llpos;int op,l,r;
    for(;m--;)
    {
        in(op),in(l),in(r);
        if(op==1) tree_change(1,l,r);
        else
        {
            qsum=0,qsum2=0,qmax=0,qmin=INF,tree_query(1,l,r);
            if(qmax-qmin==r-l)
            {
                if(qsum==Sum(qmin,qmax))
                {
                    if((qsum2+Sum2(qmin-1))%mod==Sum2(qmax)) puts(True_Ans);
                    else puts(False_Ans);
                }
                else puts(False_Ans);
            }
            else puts(False_Ans);
        }
    }
    return 0;
}