#include <bits/stdc++.h>
using namespace std;
#define POPCOUNT(n) (__builtin_popcountll((n)))
#define CLZ(n) (__builtin_clzll((n)))
#define CTZ(n) (__builtin_ctzll((n)))
#define LOG(n) (63 - __builtin_clzll((n)))
#define BIT(n, i) (((n) >> (i)) & 1ll)
#define MASK(i) (1ll << (i))
#define FLIP(n, i) ((n) ^ (1ll << (i)))
#define ON(n, i) ((n) | MASK(i))
#define OFF(n, i) ((n) & ~MASK(i))
#define Int __int128
#define fi first
#define se second
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<long long, long long> pll;
typedef pair<long long, int> pli;
typedef pair<int, long long> pil;
typedef vector<pair<int, int>> vii;
typedef vector<pair<long long, long long>> vll;
typedef vector<pair<long long, int>> vli;
typedef vector<pair<int, long long>> vil;
template <class T1, class T2> bool maximize(T1 &x, T2 y) {
if (x < y) {
x = y;
return true;
}
return false;
}
template <class T1, class T2> bool minimize(T1 &x, T2 y) {
if (x > y) {
x = y;
return true;
}
return false;
}
template <class T> void remove_duplicate(vector<T> &ve) {
sort (ve.begin(), ve.end());
ve.resize(unique(ve.begin(), ve.end()) - ve.begin());
}
mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
long long random(long long l, long long r) {
return uniform_int_distribution<long long>(l, r)(rng);
}
unsigned long long random(unsigned long long l, unsigned long long r) {
return uniform_int_distribution<unsigned long long>(l, r)(rng);
}
template <class T> T random(T r) {
return rng() % r;
}
const int N = 1e5 + 5, SQR = 100, NUM_BLOCKS = N / SQR + 5, LG = 31;
const int MOD = 1e9 + 7;
const int inf = 1e9;
const long long INF = 1e18;
int n, q, k;
int c[N], blockId[N];
int cnt[NUM_BLOCKS];
ll sum[NUM_BLOCKS][LG];
void freeBlock(int id) {
if (cnt[id] == 0) return;
minimize(cnt[id], LG);
for (int i = 0; i < LG; ++i) sum[id][i] = 0;
for (int i = id * SQR; i < min(n, (id + 1) * SQR); ++i) {
for (int _ = 0; _ < cnt[id] && c[i] > 0; ++_) c[i] /= k;
for (int j = 0, tmp = c[i]; j < LG && tmp > 0; ++j) sum[id][j] += tmp, tmp /= k;
}
cnt[id] = 0;
}
void update_single(int p, int val) {
int id = blockId[p];
for (int j = 0, tmp = c[p]; j < LG && tmp > 0; ++j) sum[id][j] -= tmp, tmp /= k;
c[p] = val;
for (int j = 0, tmp = c[p]; j < LG && tmp > 0; ++j) sum[id][j] += tmp, tmp /= k;
}
void update(int l, int r) {
int blockL = (l + SQR - 1) / SQR, blockR = blockId[r];
if (blockL >= blockR) {
freeBlock(blockR);
for (int i = l; i <= r; ++i) update_single(i, c[i] / k);
return;
}
for (int i = blockL; i < blockR; ++i) ++cnt[i];
freeBlock(blockId[l]), freeBlock(blockR);
for (int i = l; i < min(n, blockL * SQR); ++i) update_single(i, c[i] / k);
for (int i = blockR * SQR; i <= r; ++i) update_single(i, c[i] / k);
}
ll get(int l, int r) {
int blockL = (l + SQR - 1) / SQR, blockR = blockId[r];
ll ans = 0;
if (blockL >= blockR) {
freeBlock(blockId[l]), freeBlock(blockR);
for (int i = l; i <= r; ++i) ans += c[i];
return ans;
}
for (int i = blockL; i < blockR; ++i) {
if (cnt[i] < LG) ans += sum[i][cnt[i]];
}
freeBlock(blockId[l]), freeBlock(blockR);
for (int i = l; i < min(n, blockL * SQR); ++i) ans += c[i];
for (int i = blockR * SQR; i <= r; ++i) ans += c[i];
return ans;
}
namespace sub3 {
struct SegmentTree {
vector<ll> nodes;
int n;
SegmentTree() {}
void resize(int _n) {
n = _n; nodes.assign(2 * n + 5, 0);
}
void update(int p, int val) {
for (nodes[p += n] = val; p >>= 1;)
nodes[p] = nodes[p << 1] + nodes[p << 1 | 1];
}
ll get(int l, int r) {
ll ansL = 0, ansR = 0;
for (l += n, r += n + 1; l < r; l >>= 1, r >>= 1) {
if (l & 1) ansL = ansL + nodes[l++];
if (r & 1) ansR = nodes[--r] + ansR;
}
return ansL + ansR;
}
} mytree;
void solve() {
mytree.resize(n);
for (int i = 1; i <= n; ++i) mytree.update(i, c[i - 1]);
for (int i = 1; i <= q; ++i) {
int type, x, y; cin >> type >> x >> y;
if (type == 1) mytree.update(x, y);
if (type == 3) cout << mytree.get(x, y) << '\n';
}
}
}
signed main() {
ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);
#ifdef hwe
freopen("D:/Code/Contests/input.inp", "r", stdin);
freopen("D:/Code/Contests/output.out", "w", stdout);
#else
#define taskname ""
if (fopen(taskname".inp", "r")) {
freopen(taskname".inp", "r", stdin);
freopen(taskname".out", "w", stdout);
}
#endif
cin >> n >> q >> k;
for (int i = 0; i < n; ++i) {
int x; cin >> x;
blockId[i] = i / SQR;
update_single(i, x);
}
if (k == 1) return sub3::solve(), 0;
for (int i = 1; i <= q; ++i) {
int type, x, y; cin >> type >> x >> y;
if (type == 1) {
--x; freeBlock(blockId[x]);
update_single(x, y);
}
if (type == 2) {
--x, --y;
update(x, y);
}
if (type == 3) {
--x, --y;
cout << get(x, y) << '\n';
}
// for (int j = 0; j < 3; ++j) cerr << cnt[j] << ' ';
// cerr << '\n';
// for (int j = 0; j < n; ++j) cerr << c[j] << ' ';
// cerr << '\n';
}
return 0;
}
