//clever
#pragma GCC optimize ("O3")
#pragma GCC target ("sse4")
#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/rope>
using namespace std;
using namespace __gnu_pbds;
using namespace __gnu_cxx;
random_device(rd);
mt19937 rng(rd());
const long long FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
struct custom_hash
{
template<class T>
unsigned long long operator()(T v) const
{
unsigned long long x = v;
x += FIXED_RANDOM;
// x += 11400714819323198485ull;
// x = (x ^ (x >> 30)) * 13787848793156543929ull;
x = (x ^ (x >> 27)) * 10723151780598845931ull;
return x ^ (x >> 31);
}
};
template<class T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<class T, class U> using hash_table = gp_hash_table<T, U, custom_hash>;
template<class T>
T randomize(T mod)
{
return (uniform_int_distribution<T>(0, mod - 1))(rng);
}
template<class T>
void readi(T &x)
{
x = 0;
bool negative = false;
char c = ' ';
while (c < '-')
{
c = getchar();
}
if (c == '-')
{
negative = true;
c = getchar();
}
while (c >= '0')
{
x = x * 10 + (c - '0');
c = getchar();
}
if (negative)
{
x = -x;
}
}
template<class T>
void printi(T output)
{
if (output == 0)
{
putchar('0');
return;
}
if (output < 0)
{
putchar('-');
output = -output;
}
int buf[20], n = 0;
while(output)
{
buf[n] = ((output % 10));
output /= 10;
n++;
}
for (n--; n >= 0; n--)
{
putchar(buf[n] + '0');
}
return;
}
template<class T>
void ckmin(T &a, T b)
{
a = min(a, b);
}
template<class T>
void ckmax(T &a, T b)
{
a = max(a, b);
}
long long expo(long long a, long long e, long long mod)
{
return ((e == 0) ? 1 : ((expo(a * a % mod, e >> 1, mod)) * ((e & 1) ? a : 1) % mod));
}
template<class T, class U>
void nmod(T &x, U mod)
{
if (x >= mod) x -= mod;
}
template<class T>
T gcd(T a, T b)
{
return (b ? gcd(b, a % b) : a);
}
#define y0 ___y0
#define y1 ___y1
#define MP make_pair
#define PB push_back
#define LB lower_bound
#define UB upper_bound
#define fi first
#define se second
#define DBG(x) cerr << #x << " = " << (x) << endl
#define SZ(x) ((int) ((x).size()))
#define FOR(i, a, b) for (auto i = (a); i < (b); i++)
#define FORD(i, a, b) for (auto i = (a) - 1; i >= (b); i--)
#define ALL(x) (x).begin(), (x).end()
const long double PI = 4.0 * atan(1.0);
const long double EPS = 1e-9;
#define MAGIC 347
#define SINF 10007
#define CO 1000007
#define INF 1000000007
#define BIG 1000000931
#define LARGE 1696969696967ll
#define GIANT 2564008813937411ll
#define LLINF 2696969696969696969ll
#define MAXN 100013
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef pair<ld, ld> pdd;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<ld> vd;
typedef vector<pii> vpi;
typedef vector<pll> vpl;
typedef vector<pdd> vpd;
typedef queue<int> qi;
#define int long long
int N, Q, K, Z;
int arr[MAXN];
queue<int> seg[3 * MAXN];
int lazy[3 * MAXN];
qi comb(qi a, qi b)
{
qi res;
FOR(i, 0, Z)
{
int x = a.front(), y = b.front();
a.pop(); b.pop();
res.push(x + y);
}
return res;
}
qi breakdown(int x)
{
qi res;
if (K == 1)
{
res.push(x);
return res;
}
FOR(i, 0, Z)
{
res.push(x % K);
x /= K;
}
return res;
}
int decode(qi d)
{
int pw = 1, res = 0;
FOR(i, 0, Z)
{
res += d.front() * pw;
d.pop();
pw *= K;
}
return res;
}
void push(int w, int L, int R)
{
FOR(i, 0, lazy[w])
{
seg[w].pop();
seg[w].push(0);
}
if (L != R)
{
lazy[w << 1] += lazy[w];
lazy[w << 1 | 1] += lazy[w];
}
lazy[w] = 0;
}
void upd1(int w, int L, int R, int a, int v)
{
push(w, L, R);
if (a < L || R < a) return;
if (L == R)
{
seg[w] = breakdown(v);
return;
}
int mid = (L + R) >> 1;
upd1(w << 1, L, mid, a, v);
upd1(w << 1 | 1, mid + 1, R, a, v);
seg[w] = comb(seg[w << 1], seg[w << 1 | 1]);
}
void upd2(int w, int L, int R, int a, int b)
{
push(w, L, R);
if (b < L || R < a) return;
if (a <= L && R <= b)
{
lazy[w]++;
push(w, L, R);
return;
}
int mid = (L + R) >> 1;
upd2(w << 1, L, mid, a, b);
upd2(w << 1 | 1, mid + 1, R, a, b);
seg[w] = comb(seg[w << 1], seg[w << 1 | 1]);
}
void setv(int idx, int v)
{
upd1(1, 0, N - 1, idx, v);
}
void spray(int l, int r)
{
if (K == 1) return;
upd2(1, 0, N - 1, l, r);
}
int query(int w, int L, int R, int a, int b)
{
push(w, L, R);
if (b < L || R < a) return 0;
if (a <= L && R <= b)
{
return decode(seg[w]);
}
int mid = (L + R) >> 1;
return query(w << 1, L, mid, a, b) + query(w << 1 | 1, mid + 1, R, a, b);
}
void build(int w, int L, int R)
{
if (L == R)
{
seg[w] = breakdown(arr[L]);
lazy[w] = 0;
return;
}
int mid = (L + R) >> 1;
build(w << 1, L, mid);
build(w << 1 | 1, mid + 1, R);
seg[w] = comb(seg[w << 1], seg[w << 1 | 1]);
}
int32_t main()
{
ios_base::sync_with_stdio(0); cin.tie(0);
// cout << fixed << setprecision(10);
// cerr << fixed << setprecision(10);
// if (fopen("file.in", "r"))
// {
// freopen ("file.in", "r", stdin);
// freopen ("file.out", "w", stdout);
// }
cin >> N >> Q >> K;
if (K == 1) Z = 1;
if (K == 2) Z = 30;
if (K == 3) Z = 19;
if (K == 4) Z = 15;
if (K == 5) Z = 13;
if (K == 6) Z = 12;
if (K == 7) Z = 11;
if (K == 8) Z = 10;
if (K == 9) Z = 10;
if (K == 10) Z = 10;
FOR(i, 0, N)
{
cin >> arr[i];
}
build(1, 0, N - 1);
while(Q--)
{
int qid;
cin >> qid;
if (qid == 1)
{
int a, b;
cin >> a >> b; a--;
setv(a, b);
}
if (qid == 2)
{
int l, r;
cin >> l >> r; l--; r--;
spray(l, r);
}
if (qid == 3)
{
int l, r;
cin >> l >> r; l--; r--;
int res = query(1, 0, N - 1, l, r);
cout << res << '\n';
}
}
// cerr << "time elapsed = " << (clock() / (CLOCKS_PER_SEC / 1000)) << " ms" << endl;
return 0;
}
/* READ READ READ
* int overflow, maxn too small, special cases (n=1?, two distinct?), cin.tie() interactive
* reread the problem, try small cases
* note down possible sources of error as you go
* do smth instead of nothing
*/
Compilation message
sterilizing.cpp: In function 'void upd1(long long int, long long int, long long int, long long int, long long int)':
sterilizing.cpp:219:23: error: no match for 'operator=' (operand types are 'std::queue<long long int>' and 'qi {aka std::queue<int>}')
seg[w] = breakdown(v);
^
In file included from /usr/include/c++/7/queue:64:0,
from /usr/include/x86_64-linux-gnu/c++/7/bits/stdc++.h:86,
from sterilizing.cpp:4:
/usr/include/c++/7/bits/stl_queue.h:96:11: note: candidate: std::queue<long long int>& std::queue<long long int>::operator=(const std::queue<long long int>&)
class queue
^~~~~
/usr/include/c++/7/bits/stl_queue.h:96:11: note: no known conversion for argument 1 from 'qi {aka std::queue<int>}' to 'const std::queue<long long int>&'
/usr/include/c++/7/bits/stl_queue.h:96:11: note: candidate: std::queue<long long int>& std::queue<long long int>::operator=(std::queue<long long int>&&)
/usr/include/c++/7/bits/stl_queue.h:96:11: note: no known conversion for argument 1 from 'qi {aka std::queue<int>}' to 'std::queue<long long int>&&'
sterilizing.cpp:225:26: error: could not convert 'seg[(w << 1)]' from 'std::queue<long long int>' to 'qi {aka std::queue<int>}'
seg[w] = comb(seg[w << 1], seg[w << 1 | 1]);
~~~~~~~~~~^
sterilizing.cpp: In function 'void upd2(long long int, long long int, long long int, long long int, long long int)':
sterilizing.cpp:240:26: error: could not convert 'seg[(w << 1)]' from 'std::queue<long long int>' to 'qi {aka std::queue<int>}'
seg[w] = comb(seg[w << 1], seg[w << 1 | 1]);
~~~~~~~~~~^
sterilizing.cpp: In function 'long long int query(long long int, long long int, long long int, long long int, long long int)':
sterilizing.cpp:257:22: error: could not convert 'seg[w]' from 'std::queue<long long int>' to 'qi {aka std::queue<int>}'
return decode(seg[w]);
~~~~~^
sterilizing.cpp: In function 'void build(long long int, long long int, long long int)':
sterilizing.cpp:266:28: error: no match for 'operator=' (operand types are 'std::queue<long long int>' and 'qi {aka std::queue<int>}')
seg[w] = breakdown(arr[L]);
^
In file included from /usr/include/c++/7/queue:64:0,
from /usr/include/x86_64-linux-gnu/c++/7/bits/stdc++.h:86,
from sterilizing.cpp:4:
/usr/include/c++/7/bits/stl_queue.h:96:11: note: candidate: std::queue<long long int>& std::queue<long long int>::operator=(const std::queue<long long int>&)
class queue
^~~~~
/usr/include/c++/7/bits/stl_queue.h:96:11: note: no known conversion for argument 1 from 'qi {aka std::queue<int>}' to 'const std::queue<long long int>&'
/usr/include/c++/7/bits/stl_queue.h:96:11: note: candidate: std::queue<long long int>& std::queue<long long int>::operator=(std::queue<long long int>&&)
/usr/include/c++/7/bits/stl_queue.h:96:11: note: no known conversion for argument 1 from 'qi {aka std::queue<int>}' to 'std::queue<long long int>&&'
sterilizing.cpp:273:26: error: could not convert 'seg[(w << 1)]' from 'std::queue<long long int>' to 'qi {aka std::queue<int>}'
seg[w] = comb(seg[w << 1], seg[w << 1 | 1]);
~~~~~~~~~~^
