洛谷 P3373 【模板】线段树 2

给一个数列,进行三种操作:

  1. 某区间每个数 ×x\times x
  2. 某区间每个数 +x+x
  3. 求区间和

和线段树模板1相比,多了一个乘法操作。要先乘后加。还有注意步步取模…

代码如下:

#include<iostream>
#include<cstdio>
#define lc(p) ((p)<<1)
#define rc(p) (((p)<<1)|1)
#define MAXN 100005
using namespace std;
typedef long long ll;
int n,m,MOD,x,y,t;
ll a[MAXN],t1[MAXN<<2],t2[MAXN<<2],res[MAXN<<2],k;
void pushup(int p){res[p]=(res[lc(p)]+res[rc(p)])%MOD;}
void build(int l,int r,int p){
    t1[p]=1;t2[p]=0;
    if(l==r){res[p]=a[l]%MOD;return;}
    int mid=l+(r-l)/2;
    build(l,mid,lc(p));build(mid+1,r,rc(p));
    pushup(p);
}
void f(int l,int r,int p,ll k1,ll k2){
    res[p]=(res[p]*k1%MOD+k2*(r-l+1)%MOD)%MOD;
    t1[p]=k1*t1[p]%MOD;t2[p]=(t2[p]*k1%MOD+k2)%MOD;
}
void pushdown(int l,int r,int p){
    int mid=l+(r-l)/2;
    f(l,mid,lc(p),t1[p],t2[p]);f(mid+1,r,rc(p),t1[p],t2[p]);
    t1[p]=1;t2[p]=0;
}
void upd1(int x,int y,int l,int r,int p,ll k){
    if(x<=l&&r<=y){res[p]=res[p]*k%MOD;t1[p]=k*t1[p]%MOD;t2[p]=k*t2[p]%MOD;return;}
    pushdown(l,r,p);
    int mid=l+(r-l)/2;
    if(x<=mid)upd1(x,y,l,mid,lc(p),k);
    if(y>mid)upd1(x,y,mid+1,r,rc(p),k);
    pushup(p);
}
void upd2(int x,int y,int l,int r,int p,ll k){
    if(x<=l&&r<=y){res[p]=(res[p]+(r-l+1)*k%MOD)%MOD;t2[p]=(k+t2[p])%MOD;return;}
    pushdown(l,r,p);
    int mid=l+(r-l)/2;
    if(x<=mid)upd2(x,y,l,mid,lc(p),k);
    if(y>mid)upd2(x,y,mid+1,r,rc(p),k);
    pushup(p);
}
ll query(int x,int y,int l,int r,int p){
    if(x<=l&&r<=y)return res[p]%MOD;
    pushdown(l,r,p);
    int mid=l+(r-l)/2;ll res=0;
    if(x<=mid)res+=query(x,y,l,mid,lc(p));res%=MOD;
    if(y>mid)res+=query(x,y,mid+1,r,rc(p));
    return res%MOD;
}
int main(){
#ifdef WINE
    freopen("data.in","r",stdin);
#endif
    scanf("%d%d%d",&n,&m,&MOD);
    for(int i=1;i<=n;i++)scanf("%lld",&a[i]);
    build(1,n,1);
    while(m--){
        scanf("%d%d%d",&t,&x,&y);
        if(t!=3)scanf("%lld",&k);
        if(t==1)upd1(x,y,1,n,1,k);
        if(t==2)upd2(x,y,1,n,1,k);
        if(t==3)printf("%lld\n",query(x,y,1,n,1));
    }
    return 0;
}

posted @ 2020-04-04 09:43  winechord  阅读(79)  评论(0编辑  收藏  举报