//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<ll> qi;
int N, Q, K;
int arr[MAXN];
qi seg[3 * MAXN];
int lazy[3 * MAXN];
qi comb(qi a, qi b)
{
qi res;
while(!a.empty() || !b.empty())
{
ll x = 0, y = 0;
if (!a.empty())
{
x = a.front(); a.pop();
}
if (!b.empty())
{
y = b.front(); b.pop();
}
res.push(x + y);
}
return res;
}
qi breakdown(int x)
{
qi res;
if (K == 1)
{
res.push(x);
return res;
}
while(x)
{
res.push(x % K);
x /= K;
}
return res;
}
ll decode(qi d)
{
ll pw = 1, res = 0;
while(!d.empty())
{
res += d.front() * pw;
d.pop();
pw *= K;
}
return res;
}
void push(int w, int L, int R)
{
FOR(i, 0, lazy[w])
{
if (!seg[w].empty()) seg[w].pop();
}
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);
}
ll 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;
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--;
ll 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
*/
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
218 ms |
202360 KB |
Output is correct |
| 2 |
Correct |
219 ms |
202472 KB |
Output is correct |
| 3 |
Correct |
197 ms |
202552 KB |
Output is correct |
| 4 |
Correct |
226 ms |
202364 KB |
Output is correct |
| 5 |
Correct |
217 ms |
202360 KB |
Output is correct |
| 6 |
Correct |
225 ms |
202568 KB |
Output is correct |
| 7 |
Correct |
220 ms |
202588 KB |
Output is correct |
| 8 |
Correct |
215 ms |
202488 KB |
Output is correct |
| 9 |
Correct |
232 ms |
202360 KB |
Output is correct |
| 10 |
Correct |
244 ms |
202520 KB |
Output is correct |
| 11 |
Correct |
240 ms |
202556 KB |
Output is correct |
| 12 |
Correct |
253 ms |
202488 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
983 ms |
204832 KB |
Output is correct |
| 2 |
Correct |
859 ms |
204796 KB |
Output is correct |
| 3 |
Correct |
758 ms |
205312 KB |
Output is correct |
| 4 |
Correct |
955 ms |
205560 KB |
Output is correct |
| 5 |
Correct |
1171 ms |
205552 KB |
Output is correct |
| 6 |
Correct |
1071 ms |
205624 KB |
Output is correct |
| 7 |
Correct |
1214 ms |
205632 KB |
Output is correct |
| 8 |
Correct |
1131 ms |
205560 KB |
Output is correct |
| 9 |
Correct |
1066 ms |
205692 KB |
Output is correct |
| 10 |
Correct |
1077 ms |
205688 KB |
Output is correct |
| 11 |
Correct |
1092 ms |
205660 KB |
Output is correct |
| 12 |
Correct |
1083 ms |
205688 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
563 ms |
202964 KB |
Output is correct |
| 2 |
Correct |
524 ms |
203412 KB |
Output is correct |
| 3 |
Correct |
680 ms |
203640 KB |
Output is correct |
| 4 |
Correct |
1734 ms |
203984 KB |
Output is correct |
| 5 |
Correct |
3169 ms |
205564 KB |
Output is correct |
| 6 |
Correct |
3018 ms |
205368 KB |
Output is correct |
| 7 |
Correct |
1071 ms |
205560 KB |
Output is correct |
| 8 |
Correct |
2658 ms |
205532 KB |
Output is correct |
| 9 |
Correct |
3823 ms |
205168 KB |
Output is correct |
| 10 |
Correct |
4130 ms |
205432 KB |
Output is correct |
| 11 |
Correct |
4062 ms |
205252 KB |
Output is correct |
| 12 |
Correct |
4016 ms |
205488 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1531 ms |
203400 KB |
Output is correct |
| 2 |
Correct |
1878 ms |
203540 KB |
Output is correct |
| 3 |
Correct |
1243 ms |
204532 KB |
Output is correct |
| 4 |
Correct |
1794 ms |
204900 KB |
Output is correct |
| 5 |
Correct |
2856 ms |
206812 KB |
Output is correct |
| 6 |
Correct |
2835 ms |
206584 KB |
Output is correct |
| 7 |
Correct |
3159 ms |
206616 KB |
Output is correct |
| 8 |
Correct |
3388 ms |
206748 KB |
Output is correct |
| 9 |
Correct |
4183 ms |
206444 KB |
Output is correct |
| 10 |
Correct |
4281 ms |
206616 KB |
Output is correct |
| 11 |
Correct |
4395 ms |
206652 KB |
Output is correct |
| 12 |
Correct |
4061 ms |
206456 KB |
Output is correct |
