This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#define maxn (int)(1e5+51)
#define all(x) x.begin(), x.end()
#define sz(x) (int) x.size()
#define endl '\n'
#define ll long long
#define pb push_back
#define ull unsigned long long
#define ii pair<int,int>
#define iii tuple<int,int,int>
#define inf 2000000001
#define mod 1000000007 //998244353
#define _ ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL);
#define lim 35
using namespace std;
template<typename X, typename Y> bool ckmin(X& x, const Y& y) { return (y < x) ? (x=y,1):0; }
template<typename X, typename Y> bool ckmax(X& x, const Y& y) { return (x < y) ? (x=y,1):0; }
queue<ll>seg[4*maxn];
int lazy[4*maxn];
int n,q,k;
ll front(queue<ll>x){return x.empty()?0:x.front();}
void updateNode(int i){
assert(2*i+1<4*maxn);
queue<ll>l = seg[2*i], r = seg[2*i+1];
if(sz(l)<sz(r))swap(l,r);
while(!seg[i].empty())seg[i].pop();
while(!l.empty()){
ll sum = front(l) + front(r);
l.pop();if(!r.empty())r.pop();
seg[i].push(sum);
}
}
void push(int i,int l,int r){
if(k==1)return;
for(int j=1;j<=lazy[i]&&(!seg[i].empty());j++)seg[i].pop();
if(l!=r)lazy[2*i]+=lazy[i],lazy[2*i+1]+=lazy[i];
lazy[i] = 0;
}
void update(int i,int l,int r,int x,ll d){
if(l>x||r<x)return;
push(i,l,r);
if(l==r){
while(!seg[i].empty())seg[i].pop();
for(;d&&sz(seg[i])<lim;d/=k)seg[i].push(d);
return;
}
int md = (l+r)/2;
update(2*i,l,md,x,d);
update(2*i+1,md+1,r,x,d);
updateNode(i);
}
ll query(int i,int l,int r,int x,int y){
push(i,l,r);
if(l>y||r<x)return 0;
if(x<=l&&r<=y)return front(seg[i]);
int md = (l+r)/2;
return query(2*i,l,md,x,y) + query(2*i+1,md+1,r,x,y);
}
void spray(int i,int l,int r,int x,int y){
if(l>y||r<x)return;
if(x<=l&&r<=y){
lazy[i]++;
push(i,l,r);
return;
}
int md = (l+r)/2;
spray(2*i,l,md,x,y);
spray(2*i+1,md+1,r,x,y);
updateNode(i);
}
int main(){_
cin>>n>>q>>k;
for(int i=1;i<=n;i++){
ll x;cin>>x;
update(1,1,n,i,x);
}
while(q--){
int t,a,b;cin>>t>>a>>b;
if(t==1){
update(1,1,n,a,1LL*b);
}else if(t==2){
if(k!=1)spray(1,1,n,a,b);
}else{
cout<<query(1,1,n,a,b)<<endl;
}
}
}
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