////////////////////////////////////////////////
// //
// Author: Muhammad Faishol Amirul Mukminin //
// //
////////////////////////////////////////////////
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define PUB push_back
#define POF pop_front
const int MAXE = 4e5+5;
struct child{
deque<ll>sum;
int pending;
};
int N, Q, K;
int plate[100005];
child segtree[MAXE];
ll ans;
void push_pending(int ind, int l, int r){
if(segtree[ind].pending != 0){
if(l != r){
segtree[2*ind].pending += segtree[ind].pending;
segtree[2*ind+1].pending += segtree[ind].pending;
}
while(segtree[ind].pending > 0 && !segtree[ind].sum.empty() && K > 1){
segtree[ind].sum.POF();
segtree[ind].pending--;
}
segtree[ind].pending = 0;
}
}
void update_me(int ind, int l, int r){
if(l != r){
int mid = (l+r)/2;
push_pending(2*ind, l, mid);
push_pending(2*ind+1, mid+1, r);
int sz_left = segtree[2*ind].sum.size(),
sz_right = segtree[2*ind+1].sum.size();
segtree[ind].sum.clear();
for(int i=0; i < min(sz_left, sz_right); i++){
ll tmp = segtree[2*ind].sum[i]+segtree[2*ind+1].sum[i];
if(tmp > 0) segtree[ind].sum.PUB(tmp);
}
for(int i = min(sz_left, sz_right); i < max(sz_left, sz_right); i++){
if(i < sz_left && segtree[2*ind].sum[i] > 0) segtree[ind].sum.PUB(segtree[2*ind].sum[i]);
if(i < sz_right && segtree[2*ind+1].sum[i] > 0) segtree[ind].sum.PUB(segtree[2*ind+1].sum[i]);
}
segtree[ind].pending = 0;
}
}
void query1(int ind, int l, int r, int i_src, ll val){
push_pending(ind, l, r);
if(l == r){
segtree[ind].sum.clear();
while(val > 0){
segtree[ind].sum.PUB(val);
val /= K;
if(K==1) break;
}
segtree[ind].pending = 0;
return;
}
int mid = (l+r)/2;
if(i_src <= mid) query1(2*ind, l, mid, i_src, val);
else query1(2*ind+1, mid+1, r, i_src, val);
update_me(ind, l, r);
}
void query2(int ind, int l, int r, int l_src, int r_src){
if(r < l_src || l > r_src) return;
push_pending(ind, l, r);
if(l_src <= l && r <= r_src){
segtree[ind].pending += 1;
return;
}
int mid = (l+r)/2;
query2(2*ind, l, mid, l_src, r_src);
query2(2*ind+1, mid+1, r, l_src, r_src);
update_me(ind, l, r);
}
void query3(int ind, int l, int r, int l_src, int r_src){
push_pending(ind, l, r);
if(r < l_src || l > r_src) return;
if(l_src <= l && r <= r_src){
if(!segtree[ind].sum.empty()) ans += segtree[ind].sum.front();
return;
}
int mid = (l+r)/2;
query3(2*ind, l, mid, l_src, r_src);
query3(2*ind+1, mid+1, r, l_src, r_src);
update_me(ind, l, r);
}
void build_segtree(int ind, int l, int r){
if(l == r){
ll tmp = plate[l];
while(tmp > 0){
segtree[ind].sum.PUB(tmp);
tmp /= K;
if(K == 1) break;
}
segtree[ind].pending = 0;
return;
}
int mid = (l+r)/2;
build_segtree(2*ind, l, mid);
build_segtree(2*ind+1, mid+1, r);
int sz_left = segtree[2*ind].sum.size(),
sz_right = segtree[2*ind+1].sum.size();
for(int i=0; i < min(sz_left, sz_right); i++){
segtree[ind].sum.PUB(segtree[2*ind].sum[i]+segtree[2*ind+1].sum[i]);
}
for(int i = min(sz_left, sz_right); i < max(sz_left, sz_right); i++){
if(i < sz_left) segtree[ind].sum.PUB(segtree[2*ind].sum[i]);
if(i < sz_right) segtree[ind].sum.PUB(segtree[2*ind+1].sum[i]);
}
segtree[ind].pending = 0;
}
void print_segtree(int ind){
cerr << ind << " ->";
for(auto elm:segtree[ind].sum) cerr << " " << elm ;
cerr << endl;
}
ll BF(int id, ll a, ll b){
ll ret = 0;
if(id == 1) plate[a] = b;
else if(id == 2){
for(int i=a;i<=b;i++) plate[i] /= K;
}else{
for(int i=a;i<=b;i++) ret += plate[i];
}
return ret;
}
void debug_segtree(int ind, int l, int r){
print_segtree(ind);
push_pending(ind, l, r);
print_segtree(ind);
ll hr = 0,
st = -1;
for(int i=l;i<=r;i++) hr += plate[i];
if(!segtree[ind].sum.empty()) st = segtree[ind].sum.front();
if(hr != st) cout << "B " << ind << " " << l << "-" << r << " -> " << hr << " " << st << " " << segtree[ind].pending << endl;
else if(hr == st) cout <<l << "-" << r << " -> " << hr << endl;
if(l == r) return;
int mid = (l+r)/2;
debug_segtree(2*ind, l, mid);
debug_segtree(2*ind+1, mid+1, r);
update_me(ind, l, r);
}
int main(){
cin >> N >> Q >> K;
for(int i=1;i<=N;i++)
cin >> plate[i];
build_segtree(1, 1, N);
while(Q--){
int id;
ll a, b;
cin >> id >> a >> b;
if(id == 1){
query1(1, 1, N, a, b);
}else if(id == 2){
query2(1, 1, N, a, b);
}else{
ans = 0;
query3(1, 1, N, a, b);
cout << ans << endl;
}
}
return 0;
}
