At the children’s day, the child came to Picks’s house, and messed his house up. Picks was angry at him. A lot of important things were lost, in particular the favorite sequence of Picks.
Fortunately, Picks remembers how to repair the sequence. Initially he should create an integer array a[1], a[2], …, a[n]. Then he should perform a sequence of m operations. An operation can be one of the following:
Print operation l, r. Picks should write down the value of .
Modulo operation l, r, x. Picks should perform assignment a[i] = a[i] mod x for each i (l ≤ i ≤ r).
Set operation k, x. Picks should set the value of a[k] to x (in other words perform an assignment a[k] = x).
Can you help Picks to perform the whole sequence of operations?
Input
The first line of input contains two integer: n, m (1 ≤ n, m ≤ 105). The second line contains n integers, separated by space: a[1], a[2], …, a[n] (1 ≤ a[i] ≤ 109) — initial value of array elements.
Each of the next m lines begins with a number type .
If type = 1, there will be two integers more in the line: l, r (1 ≤ l ≤ r ≤ n), which correspond the operation 1.
If type = 2, there will be three integers more in the line: l, r, x (1 ≤ l ≤ r ≤ n; 1 ≤ x ≤ 109), which correspond the operation 2.
If type = 3, there will be two integers more in the line: k, x (1 ≤ k ≤ n; 1 ≤ x ≤ 109), which correspond the operation 3.
Output
For each operation 1, please print a line containing the answer. Notice that the answer may exceed the 32-bit integer.
板题,区间访问,区间取模和单点修改
可记录区间最大值,区间取模暴力取模,由上向下遍历,如果区间最大值小于模则跳过
#include<stdio.h>
#include<string.h>
#include<algorithm>
#define maxn 100005
using namespace std;
int ma[maxn<<2];
long long sum[maxn<<2];
void pushup(int k)
{
ma[k]=max(ma[k<<1],ma[k<<1|1]);
sum[k]=sum[k<<1]+sum[k<<1|1];
}
void build(int l,int r,int k)
{
if(l==r)
{
scanf("%d",ma+k);
sum[k]=(long long)ma[k];
return;
}
int mid=(l+r)/2;
build(l,mid,k<<1);
build(mid+1,r,k<<1|1);
pushup(k);
}
void set(int l,int r,int k,int loc,int x)
{
if(r==l)
{
ma[k]=x;
sum[k]=(long long)x;
return;
}
int mid=(l+r)/2;
if(loc<=mid)
set(l,mid,k<<1,loc,x);
else
set(mid+1,r,k<<1|1,loc,x);
pushup(k);
}
void setmod(int l,int r,int k,int L,int R,int mod)
{
if(ma[k]<mod)
return;
if(r==l)
{
ma[k]=ma[k]%mod;
sum[k]=(long long)ma[k];
return;
}
int mid=(l+r)/2;
if(L<=mid)
setmod(l,mid,k<<1,L,R,mod);
if(R>mid)
setmod(mid+1,r,k<<1|1,L,R,mod);
pushup(k);
}
long long querysum(int l,int r,int k,int L,int R)
{
if(L<=l&&r<=R)
return sum[k];
int mid=(l+r)/2;
if(R<=mid)
return querysum(l,mid,k<<1,L,R);
if(mid<L)
return querysum(mid+1,r,k<<1|1,L,R);
return querysum(l,mid,k<<1,L,R)+querysum(mid+1,r,k<<1|1,L,R);
}
int main()
{
int n,m;
scanf("%d%d",&n,&m);
build(1,n,1);
int op,loc,L,R,c,mod;
while(m--)
{
scanf("%d",&op);
if(op==1)
{
scanf("%d%d",&L,&R);
printf("%lld\n",querysum(1,n,1,L,R));
}
if(op==2)
{
scanf("%d%d%d",&L,&R,&mod);
setmod(1,n,1,L,R,mod);
}
if(op==3)
{
scanf("%d%d",&loc,&c);
set(1,n,1,loc,c);
}
}
}