题意
线段树维护三个操作:区间加法,区间乘法,区间查询。
分析
需要打两个tag,注意先下放乘法之后再下放加法。
#include <cstdio>
#include <algorithm>
using namespace std;
typedef long long LL;
const int maxx = 100000 + 50;
LL T[maxx<<2],Add[maxx<<2],mul[maxx<<2];
LL mod,z;
int n,m,pos,x,y;
template <class T> void P(T &a,const T &b) {a=(a+b)%mod;return;}
template <class T> void K(T &a,const T &b) {a=(a*b)%mod;return;}
template <class T> void F(T &a,const T &b,const T &c) {a=(a*b+c)%mod;return;}
namespace Y{
void Build(int i,int l,int r){
mul[i] = 1;Add[i] = 0;if(l == r) {scanf("%lld",&T[i]);return;}
int mid = (l+r) >> 1;Build(i<<1,l,mid);Build(i<<1|1,mid+1,r);
T[i] = (T[i<<1] + T[i<<1|1])%mod;
}
void pushdown(int i,int l,int r){
int mid = (l+r)>>1;
K(mul[i<<1],mul[i]);K(mul[i<<1|1],mul[i]);
F(Add[i<<1],mul[i],Add[i]);F(Add[i<<1|1],mul[i],Add[i]);
F(T[i<<1],mul[i],(mid-l+1)*Add[i]);
F(T[i<<1|1],mul[i],(r-mid)*Add[i]);
mul[i] = 1;Add[i] = 0;
}
void modify(int i,int x,int y,int l,int r,LL k,int flag){
if(x<=l && r<=y)
if(flag == 1) {K(mul[i],k);K(Add[i],k);K(T[i],k);return;}
else if(flag == 2) {P(Add[i],k);P(T[i],(LL)(r-l+1)*k);return;}
if((mul[i]!=1) || (Add[i]!=0)) pushdown(i,l,r);int V=(l+r)>>1;
if(x <= V) modify(i<<1,x,y,l,V,k,flag);
if(y > V) modify(i<<1|1,x,y,V+1,r,k,flag);
T[i] = (T[i<<1] + T[i<<1|1])%mod;
}
LL Query(int i,int x,int y,int l,int r){
LL Ans = 0;
if(x<=l && r<=y) return T[i];int V=(l+r)>>1;
if((mul[i]!=1) || (Add[i]!=0)) pushdown(i,l,r);
if(x <= V) P(Ans,Query(i<<1,x,y,l,V));
if(y > V) P(Ans,Query(i<<1|1,x,y,V+1,r));
return Ans;
}
}
int main(){
scanf("%d%lld",&n,&mod);Y :: Build(1,1,n);scanf("%d",&m);
while( m-- ){
scanf("%d%d%d",&pos,&x,&y);
if(pos == 1||pos == 2) scanf("%lld",&z),Y :: modify(1,x,y,1,n,z,pos);
if(pos == 3) printf("%lld\n",Y :: Query(1,x,y,1,n));
}
return 0;
}
模板的话还是短一点好嘛。
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