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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#385466 | #7765. Xor Master | valeriu# | 0 | 0ms | 0kb | C++20 | 5.3kb | 2024-04-10 19:36:53 | 2024-07-04 03:35:35 |
answer
//#pragma GCC optimize("O3,fast-math")
//#pragma GCC target("avx,avx2,sse3,sse4")
#include <bits/stdc++.h>
#define all(x) (x).begin(),(x).end()
using namespace std;
using ll = long long;
using ull = unsigned long long;
using ld = long double;
//#define int ll
#define sz(x) ((int)(x).size())
using pii = pair<int,int>;
using tii = tuple<int,int,int>;
const int bmax = 64;
namespace Basis {
ull pivot[bmax];
ull contrmsk[bmax];
ull control = 0;
ull flippers = 0;
int upd = -1;
bool add(ull x) {
upd = -1;
for(int i = bmax - 1; i >= 0; i--) {
if(pivot[i] == 0 && ((1ull << i) & x)) {
pivot[i] = x;
upd = i;
break;
}
else if(pivot[i] != 0 && ((1ull << i) & x))
x ^= pivot[i];
}
if(x == 0) return 0;
for(int i = 0; i < bmax; i++) {
if(pivot[i] == 0) continue;
for(int j = i + 1; j < bmax; j++) {
if(pivot[j] & (1ull << i))
pivot[j] ^= pivot[i];
}
}
control = 0;
flippers = 0;
for(int contra = 0; contra < bmax; contra++) {
contrmsk[contra] = 0;
if(pivot[contra] != 0) {
control |= (1ull << contra);
continue;
}
for(int i = contra + 1; i < bmax; i++)
if(pivot[i] & (1ull << contra)) contrmsk[contra] |= (1ull << i);
if(__builtin_popcountll(contrmsk[contra]) % 2 == 1)
flippers |= (1ull << contra);
}
return 1;
}
ull get_val(ull a) {
ull R = 0;
for(int i = 0; i < bmax; i++) {
if(pivot[i] != 0) continue;
R |= ((ull)((__builtin_popcountll(a & contrmsk[i]) & 1)
^ ((a & (1ull << i))? 1 : 0))) << i;
}
return R;
}
}
pii operator +(const pii& x, const pii& y) {
return pii{x.first + y.first, x.second + y.second};
}
pii flip(const pii& x) { return pii{x.second, x.first}; }
const int nmax = 5e5 + 5;
int biti[nmax];
struct Node {
ull cnt[bmax], len;
ull txor;
Node() {
for(int i = 0; i < bmax; i++) cnt[i] = 0;
len = 1;
txor = 0;
}
Node(ull a) {
for(int i = 0; i < bmax; i++) cnt[i] = 0;
len = 0;
txor = a;
}
void pull(const Node L, const Node R) {
for(int i = 0; i < bmax; i++) cnt[i] = L.cnt[i] + ((L.txor & (1ull << i))? R.len - R.cnt[i] : R.cnt[i]);
txor = L.txor ^ R.txor;
len = L.len + R.len;
}
};
const int N = (1 << 19) + 5; // limit for array size
template<typename Node>
struct AINT {
int n; // array size
Node t[2 * N];
void init(int n_) {
int p = 1;
while(p < n_) p *= 2;
n = p;
}
void build() { // build the tree
for (int i = n - 1; i > 0; --i) t[i].pull(t[i<<1], t[i<<1|1]);
}
void modify(int p, Node value) { // set value at position p
p--;
for (t[p += n] = value; p > 1; p >>= 1) t[p>>1].pull(t[min(p, p^1)], t[max(p, p^1)]);
}
Node query(int l, int r) { // sum on interval [l, r)
--l;
Node resL(0), resR(0);
for (l += n, r += n; l < r; l >>= 1, r >>= 1) {
if (l&1) resL.pull(resL, t[l++]);
if (r&1) resR.pull(t[--r], resR);
}
resL.pull(resL, resR);
return resL;
}
};
signed main() {
cin.tie(0) -> sync_with_stdio(0);
int n, q;
cin >> n >> q;
biti[1] = 1;
for(int i = 2; i < nmax; i++) biti[i] = biti[i >> 1] + 1;
AINT<Node> aint;
aint.init(n);
vector<ull> v(n + 1), real(n + 1);
for(auto &x : v | views::drop(1)) cin >> x;
real = v;
auto update = [&](int p, ull x) {
v[p] ^= Basis::get_val(x);
real[p] ^= x;
Node H;
H.pull(Node(v[p]), Node());
aint.modify(p, H);
};
auto reformat = [&]() {
if(Basis::upd == -1) {
for(int i = 1; i <= n; i++) {
aint.t[i + aint.n - 1].pull(Node(v[i]), Node());;
}
aint.build();
return;
}
ull A = Basis::pivot[Basis::upd];
ull msb = A, T = msb;
while(msb > 0) T = msb, msb &= (msb - 1);
msb = T;
const Node pula_lui_becali(A);
for(int i = 1; i <= n; i++) {
if(v[i] & msb) {
v[i] ^= A;
aint.t[i + aint.n - 1].pull(pula_lui_becali, aint.t[i + aint.n - 1]);
}
}
aint.build();
return;
};
auto query = [&](int l, int r) -> ull {
ull rez = 0;
Node elem(Basis::flippers);
elem.pull(elem, aint.query(l, r));
for(int i = 0; i < bmax; i++)
rez += elem.cnt[i] * (1ull << i);
return rez;
};
reformat();
for(int i = 0; i < q; i++) {
int T;
cin >> T;
if(T == 1) {
int p;
ull x;
cin >> p >> x;
update(p, x);
}
else if(T == 2) {
ull x;
cin >> x;
if(Basis::add(x)) {
reformat();
}
}
else {
int l, r;
cin >> l >> r;
cout << query(l, r) + Basis::control * (ull)(r - l + 1) << '\n';
}
}
}
/**
Anul asta nu se da centroid
-- Rugaciunile mele
*/
Details
Tip: Click on the bar to expand more detailed information
Subtask #1:
score: 0
Memory Limit Exceeded
Test #1:
score: 0
Memory Limit Exceeded
input:
2000 2000 1860495733 462603674 3739839441 759356520 47330263 550811730 2301200895 989240351 2499503801 2624225494 2123076812 1180966826 238739434 488666688 784742950 2583466952 4111371941 2335988605 2583741355 933716686 1644403538 1970423306 304500250 905101643 1814942168 1136358764 88729799 1577263...
output:
result:
Subtask #2:
score: 0
Memory Limit Exceeded
Test #5:
score: 0
Memory Limit Exceeded
input:
500000 100000 12261386944926786495 7846697792998647383 16622924885320463714 170129022271213944 12625257523700625864 7684671687986103560 11532026873918423068 1131776055566669037 8263146651412710501 17872572061246021001 5017109039248728310 11088626167542318645 13810119722795416818 10928315716094262229...
output:
result:
Subtask #3:
score: 0
Skipped
Dependency #2:
0%
Subtask #4:
score: 0
Memory Limit Exceeded
Test #15:
score: 0
Memory Limit Exceeded
input:
100000 100000 860905160 3192911636 290327446 2020707113 959258245 454185039 421895589 1070265496 2218913641 1684685660 1206723673 2606734467 4247254571 3341954386 3805299640 1702270353 2472053741 2816060613 1307901348 2702949728 879391505 884661815 330738731 1575749344 1239158446 2099693858 67466644...
output:
result:
Subtask #5:
score: 0
Skipped
Dependency #4:
0%
Subtask #6:
score: 0
Skipped
Dependency #1:
0%
Subtask #7:
score: 0
Skipped
Dependency #1:
0%