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>
using namespace std;
using ll = long long;
using vl = vector<ll>;
using vvl = vector<vl>;
const ll mod = 1e9 + 7,inf = 1e18;
#define pb push_back
#define fast ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
void setIO()
{
    fast;
}
int n,k,q;
struct Node
{
    int l,r;
    Node*lc;
    Node*rc;
    ll sums[33];
    ll numApplied;
    Node(int L,int R,vl&a)
    {
        l = L,r = R;
        int mid = (l + r)/2;
        
        numApplied = 0;
        for (int i = 0;i<=32;i++)sums[i] = 0;
        if (l != r){
            lc = new Node(l,mid,a);
            rc = new Node(mid + 1,r,a);
            for (int i = 0;i<=32;i++)
                sums[i] = lc->sums[i] + rc->sums[i];
        }
        else{
            sums[0] = a[l];
            for (int i = 1;i<=32;i++)
                sums[i] = sums[i - 1]/k;
        }
    }
};
void shift(Node*root,int s)
{
    if (k != 1){
        for (int i = 0;i<=32;i++)
            root->sums[i] = (i + s <= 32 ? root->sums[i + s] : 0);
    }
}
void push(Node*root)
{
    shift(root,root->numApplied);
    if (root->lc){
        root->lc->numApplied += root->numApplied;
        root->rc->numApplied += root->numApplied;
    }
    root->numApplied = 0;
}
void PointUpdate(Node*root,int pos,int x)
{
    push(root);
    if (!(root->l <= pos and pos <= root->r))return;
    if (root->l == root->r){
        root->numApplied = 0;
        root->sums[0] = x;
        for (int i = 1;i<=32;i++)
            root->sums[i] = root->sums[i - 1]/k;
        return;
    }
    PointUpdate(root->lc,pos,x);
    PointUpdate(root->rc,pos,x);
    for (int i = 0;i<=32;i++)
        root->sums[i] = root->lc->sums[i] + root->rc->sums[i];
}
void Spray(Node*root,int l,int r)
{
    push(root);
    if (root->l > r or l > root->r)return;
    if (l <= root->l and root->r <= r){
        root->numApplied++;
        push(root);
        return;
    }
    Spray(root->lc,l,r);
    Spray(root->rc,l,r);
    for (int i = 0;i<=32;i++)
        root->sums[i] = root->lc->sums[i] + root->rc->sums[i];
}
ll query(Node*root,int l,int r)
{
    push(root);
    if (root->l > r or l > root->r)return 0;
    if (l <= root->l and root->r <= r)
        return root->sums[0];
    return query(root->lc,l,r) + query(root->rc,l,r);
}
int main()
{
    setIO();
    cin>>n>>q>>k;
    vl a(n + 1);
    for (int i = 1;i<=n;i++)cin>>a[i];
    Node*root = new Node(1,n,a);
    while (q--){
        int t;
        cin>>t;
        if (t == 1){
            int pos;
            ll x;
            cin>>pos>>x;
            PointUpdate(root,pos,x);
        }
        if (t == 2){
            int l,r;
            cin>>l>>r;
            Spray(root,l,r);
        }
        if (t == 3){
            int l,r;
            cin>>l>>r;
            cout<<query(root,l,r)<<"\n";
        }
    }
    return 0;
}
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