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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#245528 | #7765. Xor Master | hos_lyric# | 0 | 442ms | 295332kb | C++14 | 10.6kb | 2023-11-10 00:09:01 | 2024-07-04 02:23:50 |
Judging History
answer
#include <cassert>
#include <cmath>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <functional>
#include <iostream>
#include <limits>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
using namespace std;
using Int = long long;
template <class T1, class T2> ostream &operator<<(ostream &os, const pair<T1, T2> &a) { return os << "(" << a.first << ", " << a.second << ")"; };
template <class T> ostream &operator<<(ostream &os, const vector<T> &as) { const int sz = as.size(); os << "["; for (int i = 0; i < sz; ++i) { if (i >= 256) { os << ", ..."; break; } if (i > 0) { os << ", "; } os << as[i]; } return os << "]"; }
template <class T> void pv(T a, T b) { for (T i = a; i != b; ++i) cerr << *i << " "; cerr << endl; }
template <class T> bool chmin(T &t, const T &f) { if (t > f) { t = f; return true; } return false; }
template <class T> bool chmax(T &t, const T &f) { if (t < f) { t = f; return true; } return false; }
#define COLOR(s) ("\x1b[" s "m")
// T: monoid representing information of an interval.
// T() should return the identity.
// T(S s) should represent a single element of the array.
// T::push(T &l, T &r) should push the lazy update.
// T::pull(const T &l, const T &r) should pull two intervals.
template <class T> struct SegmentTreeRange {
int logN, n;
vector<T> ts;
SegmentTreeRange() : logN(0), n(0) {}
explicit SegmentTreeRange(int n_) {
for (logN = 0, n = 1; n < n_; ++logN, n <<= 1) {}
ts.resize(n << 1);
}
template <class S> explicit SegmentTreeRange(const vector<S> &ss) {
const int n_ = ss.size();
for (logN = 0, n = 1; n < n_; ++logN, n <<= 1) {}
ts.resize(n << 1);
for (int i = 0; i < n_; ++i) at(i) = T(ss[i]);
build();
}
T &at(int i) {
return ts[n + i];
}
void build() {
for (int u = n; --u; ) pull(u);
}
inline void push(int u) {
ts[u].push(ts[u << 1], ts[u << 1 | 1]);
}
inline void pull(int u) {
ts[u].pull(ts[u << 1], ts[u << 1 | 1]);
}
// Applies T::f(args...) to [a, b).
template <class F, class... Args>
void ch(int a, int b, F f, Args &&... args) {
assert(0 <= a); assert(a <= b); assert(b <= n);
if (a == b) return;
a += n; b += n;
for (int h = logN; h; --h) {
const int aa = a >> h, bb = b >> h;
if (aa == bb) {
if ((aa << h) != a || (bb << h) != b) push(aa);
} else {
if ((aa << h) != a) push(aa);
if ((bb << h) != b) push(bb);
}
}
for (int aa = a, bb = b; aa < bb; aa >>= 1, bb >>= 1) {
if (aa & 1) (ts[aa++].*f)(args...);
if (bb & 1) (ts[--bb].*f)(args...);
}
for (int h = 1; h <= logN; ++h) {
const int aa = a >> h, bb = b >> h;
if (aa == bb) {
if ((aa << h) != a || (bb << h) != b) pull(aa);
} else {
if ((aa << h) != a) pull(aa);
if ((bb << h) != b) pull(bb);
}
}
}
// Calculates the product for [a, b).
T get(int a, int b) {
assert(0 <= a); assert(a <= b); assert(b <= n);
if (a == b) return T();
a += n; b += n;
for (int h = logN; h; --h) {
const int aa = a >> h, bb = b >> h;
if (aa == bb) {
if ((aa << h) != a || (bb << h) != b) push(aa);
} else {
if ((aa << h) != a) push(aa);
if ((bb << h) != b) push(bb);
}
}
T prodL, prodR, t;
for (int aa = a, bb = b; aa < bb; aa >>= 1, bb >>= 1) {
if (aa & 1) { t.pull(prodL, ts[aa++]); prodL = t; }
if (bb & 1) { t.pull(ts[--bb], prodR); prodR = t; }
}
t.pull(prodL, prodR);
return t;
}
// Calculates T::f(args...) of a monoid type for [a, b).
// op(-, -) should calculate the product.
// e() should return the identity.
template <class Op, class E, class F, class... Args>
#if __cplusplus >= 201402L
auto
#else
decltype((std::declval<T>().*F())())
#endif
get(int a, int b, Op op, E e, F f, Args &&... args) {
assert(0 <= a); assert(a <= b); assert(b <= n);
if (a == b) return e();
a += n; b += n;
for (int h = logN; h; --h) {
const int aa = a >> h, bb = b >> h;
if (aa == bb) {
if ((aa << h) != a || (bb << h) != b) push(aa);
} else {
if ((aa << h) != a) push(aa);
if ((bb << h) != b) push(bb);
}
}
auto prodL = e(), prodR = e();
for (int aa = a, bb = b; aa < bb; aa >>= 1, bb >>= 1) {
if (aa & 1) prodL = op(prodL, (ts[aa++].*f)(args...));
if (bb & 1) prodR = op((ts[--bb].*f)(args...), prodR);
}
return op(prodL, prodR);
}
// Find min b s.t. T::f(args...) returns true,
// when called for the partition of [a, b) from left to right.
// Returns n + 1 if there is no such b.
template <class F, class... Args>
int findRight(int a, F f, Args &&... args) {
assert(0 <= a); assert(a <= n);
if ((T().*f)(args...)) return a;
if (a == n) return n + 1;
a += n;
for (int h = logN; h; --h) push(a >> h);
for (; ; a >>= 1) if (a & 1) {
if ((ts[a].*f)(args...)) {
for (; a < n; ) {
push(a);
if (!(ts[a <<= 1].*f)(args...)) ++a;
}
return a - n + 1;
}
++a;
if (!(a & (a - 1))) return n + 1;
}
}
// Find max a s.t. T::f(args...) returns true,
// when called for the partition of [a, b) from right to left.
// Returns -1 if there is no such a.
template <class F, class... Args>
int findLeft(int b, F f, Args &&... args) {
assert(0 <= b); assert(b <= n);
if ((T().*f)(args...)) return b;
if (b == 0) return -1;
b += n;
for (int h = logN; h; --h) push((b - 1) >> h);
for (; ; b >>= 1) if ((b & 1) || b == 2) {
if ((ts[b - 1].*f)(args...)) {
for (; b <= n; ) {
push(b - 1);
if (!(ts[(b <<= 1) - 1].*f)(args...)) --b;
}
return b - n - 1;
}
--b;
if (!(b & (b - 1))) return -1;
}
}
};
////////////////////////////////////////////////////////////////////////////////
using U = unsigned long long;
constexpr int E = 64;
int LEN;
struct Node {
int sz, cnt[E];
U lz;
Node() : sz(0), cnt{}, lz(0) {}
void push(Node &l, Node &r) {
if (lz) {
l.flip(lz);
r.flip(lz);
lz = 0;
}
}
void pull(const Node &l, const Node &r) {
sz = l.sz + r.sz;
for (int k = 0; k < LEN; ++k) {
cnt[k] = l.cnt[k] + r.cnt[k];
}
}
void flip(U val) {
for (int k = 0; k < LEN; ++k) if (val >> k & 1) {
cnt[k] = sz - cnt[k];
}
lz ^= val;
}
};
int N, Q;
vector<U> A;
vector<int> O, L, R;
vector<U> V;
int main() {
for (; ~scanf("%d%d", &N, &Q); ) {
A.resize(N);
for (int i = 0; i < N; ++i) {
scanf("%llu", &A[i]);
}
O.assign(Q, -1);
L.assign(Q, -1);
R.assign(Q, -1);
V.assign(Q, 0);
for (int q = 0; q < Q; ++q) {
scanf("%d", &O[q]);
if (O[q] == 1) {
scanf("%d%llu", &L[q], &V[q]);
--L[q];
} else if (O[q] == 2) {
scanf("%llu", &V[q]);
} else if (O[q] == 3) {
scanf("%d%d", &L[q], &R[q]);
--L[q];
--R[q];
} else {
assert(false);
}
}
vector<U> bit(N, 0);
vector<U> ASum(N + 1, 0);
SegmentTreeRange<Node> seg(N + 1);
U basis[E] = {}, effects[E] = {}, masks[E] = {};
int es[E] = {};
auto build = [&]() -> void {
for (int i = 0; i < N; ++i) {
bit[i] = A[i];
}
for (int i = 0; i < N; ++i) {
const int ii = i | (i + 1);
if (ii < N) {
bit[ii] ^= bit[i];
}
}
for (int i = 0; i < N; ++i) {
ASum[i + 1] = ASum[i] ^ A[i];
}
U on = 0;
for (int e = 0; e < E; ++e) if (basis[e]) {
on |= 1ULL << e;
}
LEN = 0;
fill(effects, effects + E, 0);
for (int e = 0; e < E; ++e) if (!basis[e]) {
// modified[e] = original[e] \oplus (\bigoplus[f] (1 \oplus original[f])
const int k = LEN++;
effects[e] |= 1ULL << k;
U mask = 1ULL << e;
for (int f = e + 1; f < E; ++f) if (basis[f] >> e & 1) {
effects[f] |= 1ULL << k;
mask |= 1ULL << f;
}
es[k] = e;
masks[k] = mask;
}
cerr<<"basis = ";pv(basis,basis+E);
// cerr<<"es = ";pv(es,es+LEN);
// cerr<<"masks = ";pv(masks,masks+LEN);
for (int i = 0; i <= N; ++i) {
auto &f = seg.at(i);
f.sz = 1;
f.lz = 0;
for (int k = 0; k < LEN; ++k) {
f.cnt[k] = __builtin_parityll((ASum[i] ^ on) & masks[k]);
}
// cerr<<ASum[i]<<": ";pv(f.cnt,f.cnt+LEN);
}
seg.build();
};
build();
for (int q = 0; q < Q; ++q) {
if (O[q] == 1) {
A[L[q]] ^= V[q];
for (int i = L[q]; i < N; i |= i + 1) {
bit[i] ^= V[q];
}
U val = 0;
for (int e = 0; e < E; ++e) if (V[q] >> e & 1) {
val ^= effects[e];
}
// cerr<<COLOR("91")<<"V[q] = "<<V[q]<<", val = "<<val<<COLOR()<<endl;
seg.ch(L[q] + 1, N + 1, &Node::flip, val);
} else if (O[q] == 2) {
U v = V[q];
for (int e = 0; e < E; ++e) {
chmin(v, v ^ basis[e]);
}
if (v) {
const int e0 = 63 - __builtin_clzll(v);
for (int e = 0; e < E; ++e) if (basis[e] >> e0 & 1) {
basis[e] ^= v;
}
basis[e0] = v;
}
build();
} else if (O[q] == 3) {
U al = 0;
for (int i = L[q]; i; i &= i - 1) {
al ^= bit[i - 1];
}
auto res = seg.get(L[q] + 1, R[q] + 2);
U val = 0;
for (int e = 0; e < E; ++e) if (al >> e & 1) {
val ^= effects[e];
}
res.flip(val);
// cerr<<"al = "<<al<<", val = "<<val<<", cnt = ";pv(res.cnt,res.cnt+LEN);
U ans = 0;
for (int e = 0; e < E; ++e) if (basis[e]) {
ans += ((U)res.sz << e);
}
for (int k = 0; k < LEN; ++k) {
ans += ((U)res.cnt[k] << es[k]);
}
printf("%lld\n", ans);
#ifdef LOCAL
U brt=0,b=0;
for(int i=L[q];i<=R[q];++i){
b^=A[i];
for(int e=E;--e>=0;)chmax(b,b^basis[e]);
brt+=b;
}
if(brt!=ans)cerr<<A<<" "<<L[q]<<" "<<R[q]<<": "<<brt<<" "<<ans<<endl;
assert(brt==ans);
#endif
} else {
assert(false);
}
}
}
return 0;
}
详细
Subtask #1:
score: 0
Wrong Answer
Test #1:
score: 0
Wrong Answer
time: 35ms
memory: 4572kb
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:
867006634793 3418049036989 1658469159497 794670034691 239792547603 1587489101990 592222190840 1343829229567 971235609706 571701308760 1219913933321 588622962923 2129364200509 1007100395808 3134493164996 3145027621038 2599298085956 1729302186341 837940435945 242569415869 2908005634977 1692554597386 1...
result:
wrong answer 24th lines differ - expected: '1870376108278', found: '1873088770764'
Subtask #2:
score: 0
Wrong Answer
Test #5:
score: 0
Wrong Answer
time: 442ms
memory: 295332kb
input:
500000 100000 12261386944926786495 7846697792998647383 16622924885320463714 170129022271213944 12625257523700625864 7684671687986103560 11532026873918423068 1131776055566669037 8263146651412710501 17872572061246021001 5017109039248728310 11088626167542318645 13810119722795416818 10928315716094262229...
output:
-6109605106711760776 -6852887562702776300 5653988472748567965 6281173414355612100 -419308296258819075 2903343914316621940 -9024282197402130985 76690753587353877 798850376670823348 -8309613438788409968 -4532312185474678257 -8254653402673898431 -6876998361742477219 -6143672567864504813 637460082558284...
result:
wrong answer 1st lines differ - expected: '12337138966997790840', found: '-6109605106711760776'
Subtask #3:
score: 0
Skipped
Dependency #2:
0%
Subtask #4:
score: 0
Time Limit Exceeded
Test #15:
score: 0
Time 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:
208755389215975 125497785366837 162446748431411 63166834945113 33018804920229 89343160639243 36805816758195 40790494641758 13928126471189 267168502433672 191989403472418 276350936750564 11189666657474 133862444125402 92684260245650 179275392898572 46159208957881 232612971657325 184946588056252 11022...
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%