QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#74482 | #5445. Vulpecula | yuto1115 | TL | 4549ms | 153760kb | C++17 | 12.8kb | 2023-02-01 22:48:22 | 2023-02-01 22:48:23 |
Judging History
answer
#include<bits/stdc++.h>
#include<ext/pb_ds/assoc_container.hpp>
#include<ext/pb_ds/tree_policy.hpp>
#include<ext/pb_ds/tag_and_trait.hpp>
#define overload4(_1, _2, _3, _4, name, ...) name
#define rep1(i, n) for (ll i = 0; i < ll(n); ++i)
#define rep2(i, s, n) for (ll i = ll(s); i < ll(n); ++i)
#define rep3(i, s, n, d) for(ll i = ll(s); i < ll(n); i+=d)
#define rep(...) overload4(__VA_ARGS__,rep3,rep2,rep1)(__VA_ARGS__)
#define rrep1(i, n) for (ll i = ll(n)-1; i >= 0; i--)
#define rrep2(i, n, t) for (ll i = ll(n)-1; i >= (ll)t; i--)
#define rrep3(i, n, t, d) for (ll i = ll(n)-1; i >= (ll)t; i-=d)
#define rrep(...) overload4(__VA_ARGS__,rrep3,rrep2,rrep1)(__VA_ARGS__)
#define all(a) a.begin(),a.end()
#define rall(a) a.rbegin(),a.rend()
#define SUM(a) accumulate(all(a),0LL)
#define MIN(a) *min_element(all(a))
#define MAX(a) *max_element(all(a))
#define SORT(a) sort(all(a));
#define REV(a) reverse(all(a));
#define SZ(a) int(a.size())
#define popcount(x) __builtin_popcountll(x)
#define pf push_front
#define pb push_back
#define ef emplace_front
#define eb emplace_back
#define ppf pop_front
#define ppb pop_back
#ifdef __LOCAL
#define debug(...) { cout << #__VA_ARGS__; cout << ": "; print(__VA_ARGS__); cout << flush; }
#else
#define debug(...) void(0);
#endif
#define INT(...) int __VA_ARGS__;scan(__VA_ARGS__)
#define LL(...) ll __VA_ARGS__;scan(__VA_ARGS__)
#define STR(...) string __VA_ARGS__;scan(__VA_ARGS__)
#define CHR(...) char __VA_ARGS__;scan(__VA_ARGS__)
#define DBL(...) double __VA_ARGS__;scan(__VA_ARGS__)
#define LD(...) ld __VA_ARGS__;scan(__VA_ARGS__)
using namespace std;
using namespace __gnu_pbds;
using ll = long long;
using ld = long double;
using P = pair<int, int>;
using LP = pair<ll, ll>;
using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vd = vector<double>;
using vvd = vector<vd>;
using vs = vector<string>;
using vc = vector<char>;
using vvc = vector<vc>;
using vb = vector<bool>;
using vvb = vector<vb>;
using vp = vector<P>;
using vvp = vector<vp>;
using vlp = vector<LP>;
using vvlp = vector<vlp>;
template<class T>
using PQ = priority_queue<T>;
template<class T>
using PQrev = priority_queue<T, vector<T>, greater<T>>;
template<class S, class T>
istream &operator>>(istream &is, pair<S, T> &p) { return is >> p.first >> p.second; }
template<class S, class T>
ostream &operator<<(ostream &os, const pair<S, T> &p) { return os << '{' << p.first << ", " << p.second << '}'; }
template<class S, class T, class U>
istream &operator>>(istream &is, tuple<S, T, U> &t) { return is >> get<0>(t) >> get<1>(t) >> get<2>(t); }
template<class S, class T, class U>
ostream &operator<<(ostream &os, const tuple<S, T, U> &t) {
return os << '{' << get<0>(t) << ", " << get<1>(t) << ", " << get<2>(t) << '}';
}
template<class T>
istream &operator>>(istream &is, vector<T> &v) {
for (T &t: v) { is >> t; }
return is;
}
template<class T>
ostream &operator<<(ostream &os, const vector<T> &v) {
os << '[';
rep(i, v.size()) os << v[i] << (i == int(v.size() - 1) ? "" : ", ");
return os << ']';
}
template<class T>
ostream &operator<<(ostream &os, const deque<T> &v) {
os << '[';
rep(i, v.size()) os << v[i] << (i == int(v.size() - 1) ? "" : ", ");
return os << ']';
}
template<class T>
ostream &operator<<(ostream &os, const set<T> &st) {
os << '{';
auto it = st.begin();
while (it != st.end()) {
os << (it == st.begin() ? "" : ", ") << *it;
it++;
}
return os << '}';
}
template<class T>
ostream &operator<<(ostream &os, const multiset<T> &st) {
os << '{';
auto it = st.begin();
while (it != st.end()) {
os << (it == st.begin() ? "" : ", ") << *it;
it++;
}
return os << '}';
}
template<class T, class U>
ostream &operator<<(ostream &os, const map<T, U> &mp) {
os << '{';
auto it = mp.begin();
while (it != mp.end()) {
os << (it == mp.begin() ? "" : ", ") << *it;
it++;
}
return os << '}';
}
template<class T>
void vecout(const vector<T> &v, char div = '\n') {
rep(i, v.size()) cout << v[i] << (i == int(v.size() - 1) ? '\n' : div);
}
template<class T>
bool constexpr chmin(T &a, T b) {
if (a > b) {
a = b;
return true;
}
return false;
}
template<class T>
bool constexpr chmax(T &a, T b) {
if (a < b) {
a = b;
return true;
}
return false;
}
void scan() {}
template<class Head, class... Tail>
void scan(Head &head, Tail &... tail) {
cin >> head;
scan(tail...);
}
template<class T>
void print(const T &t) { cout << t << '\n'; }
template<class Head, class... Tail>
void print(const Head &head, const Tail &... tail) {
cout << head << ' ';
print(tail...);
}
template<class... T>
void fin(const T &... a) {
print(a...);
exit(0);
}
template<class T>
vector<T> &operator+=(vector<T> &v, T x) {
for (T &t: v) t += x;
return v;
}
template<class T>
vector<T> &operator-=(vector<T> &v, T x) {
for (T &t: v) t -= x;
return v;
}
template<class T>
vector<T> &operator*=(vector<T> &v, T x) {
for (T &t: v) t *= x;
return v;
}
template<class T>
vector<T> &operator/=(vector<T> &v, T x) {
for (T &t: v) t /= x;
return v;
}
struct Init_io {
Init_io() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
cout.tie(nullptr);
cout << boolalpha << fixed << setprecision(15);
cerr << boolalpha << fixed << setprecision(15);
}
} init_io;
const string yes[] = {"no", "yes"};
const string Yes[] = {"No", "Yes"};
const string YES[] = {"NO", "YES"};
const int inf = 1001001001;
const ll linf = 1001001001001001001;
void rearrange(const vi &) {}
template<class T, class... Tail>
void rearrange(const vi &ord, vector<T> &head, Tail &...tail) {
assert(ord.size() == head.size());
vector<T> ori = head;
rep(i, ord.size()) head[i] = ori[ord[i]];
rearrange(ord, tail...);
}
template<class T, class... Tail>
void sort_by(vector<T> &head, Tail &... tail) {
vi ord(head.size());
iota(all(ord), 0);
sort(all(ord), [&](int i, int j) { return head[i] < head[j]; });
rearrange(ord, head, tail...);
}
bool in_rect(int i, int j, int h, int w) {
return 0 <= i and i < h and 0 <= j and j < w;
}
template<class T, class S>
vector<T> cumsum(const vector<S> &v, bool shift_one = true) {
int n = v.size();
vector<T> res;
if (shift_one) {
res.resize(n + 1);
rep(i, n) res[i + 1] = res[i] + v[i];
} else {
res.resize(n);
if (n) {
res[0] = v[0];
rep(i, 1, n) res[i] = res[i - 1] + v[i];
}
}
return res;
}
vvi graph(int n, int m, bool directed = false, int origin = 1) {
vvi G(n);
rep(_, m) {
INT(u, v);
u -= origin, v -= origin;
G[u].pb(v);
if (!directed) G[v].pb(u);
}
return G;
}
template<class T>
vector<vector<pair<int, T>>> weighted_graph(int n, int m, bool directed = false, int origin = 1) {
vector<vector<pair<int, T>>> G(n);
rep(_, m) {
int u, v;
T w;
scan(u, v, w);
u -= origin, v -= origin;
G[u].eb(v, w);
if (!directed) G[v].eb(u, w);
}
return G;
}
using ull = unsigned long long;
// F_2 上での直交補空間の基底を求める
// m : ベクトルの次元 (bit 数)
// time complexity : O(m^2)
// 逆行列を使う方法もある (https://twitter.com/maspy_stars/status/1620100688746520576?s=20&t=ZZ5GB-lGGnp0tmpK1CO6Vg)
// tips : (V⊥ + W⊥)⊥ = V ∩ W
template<class T>
vector<T> orthogonal_complement(int m, vector<T> es) {
int n = SZ(es);
vi p(n, m - 1);
vb used(m);
rrep(i, n) {
assert(es[i]);
while (~es[i] >> p[i] & 1) --p[i];
used[p[i]] = true;
rep(j, i) chmin(es[j], es[j] ^ es[i]);
}
vector<T> res;
rep(i, m) {
if (used[i]) continue;
T now = T(1) << i;
rep(j, n) {
if (popcount(now & es[j]) & 1) now |= T(1) << p[j];
}
res.pb(now);
}
return res;
}
template<class D>
class rerooting {
using T = typename D::T;
int n;
vvi tree;
vector<vector<T>> dp;
vector<T> ans;
T dfs(int u = 0, int p = -1) {
T sum = D::id;
dp[u].resize(tree[u].size());
rep(i, tree[u].size()) {
int v = tree[u][i];
if (v == p) continue;
dp[u][i] = dfs(v, u);
sum = D::merge(sum, D::add_root(dp[u][i], u, v));
}
return sum;
}
void dfs2(T dpP, int u = 0, int p = -1) {
int sz = tree[u].size();
rep(i, sz) if (tree[u][i] == p) dp[u][i] = dpP;
vector<T> sumL(sz + 1, D::id), sumR(sz + 1, D::id);
rep(i, sz) sumL[i + 1] = D::merge(sumL[i], D::add_root(dp[u][i], u, tree[u][i]));
rrep(i, sz) sumR[i] = D::merge(sumR[i + 1], D::add_root(dp[u][i], u, tree[u][i]));
ans[u] = sumL[sz];
rep(i, sz) {
int v = tree[u][i];
if (v == p) continue;
T t = D::merge(sumL[i], sumR[i + 1]);
dfs2(t, v, u);
}
}
public:
explicit rerooting(const vvi &tree) : n(tree.size()), tree(tree), dp(n), ans(n) {
dfs();
dfs2(D::id);
};
T get_ans(int i) {
return D::add_root(ans[i], -1, i);
}
};
vector<vector<ull>> es;
class D {
public:
using T = vector<pair<int, ull>>;
static T id;
static T merge(const T &l, const T &r) {
int li = 0, ri = 0;
T res;
auto add = [&](const pair<int, ull> &p) {
auto [d, t] = p;
for (auto [_, e]: res) chmin(t, t ^ e);
if (t) res.eb(d, t);
};
while (li < SZ(l) or ri < SZ(r)) {
if (SZ(res) == 64) break;
if (li < SZ(l) and ri < SZ(r)) {
if (l[li].first <= r[ri].first) add(l[li++]);
else add(r[ri++]);
} else if (li < SZ(l)) {
add(l[li++]);
} else {
add(r[ri++]);
}
}
return res;
}
static T add_root(const T &x, int u, int v) {
T res;
auto add = [&](const pair<int, ull> &p) {
auto [d, t] = p;
for (auto [_, e]: res) chmin(t, t ^ e);
if (t) res.eb(d, t);
};
for (ull e: es[v]) res.eb(0, e);
for (auto [d, t]: x) {
if (SZ(res) == 64) break;
add({d + 1, t});
}
return res;
}
};
D::T D::id = {};
int main() {
INT(n);
vvi G(n);
rep(i, 1, n) {
INT(p);
--p;
G[p].pb(i);
G[i].pb(p);
}
es.resize(n);
rep(i, n) {
INT(m);
vector<ull> x(m);
scan(x);
vector<ull> x2;
rep(j, SZ(x)) {
rep(k, j) chmin(x[j], x[j] ^ x[k]);
if (x[j]) x2.pb(x[j]);
}
x = orthogonal_complement(64, x2);
rep(j, SZ(x)) {
rep(k, j) chmin(x[j], x[j] ^ x[k]);
assert(x[j]);
}
es[i] = x;
}
rerooting<D> rt(G);
rep(i, n) {
auto v = rt.get_ans(i);
vector<ull> a, b(64);
rep(j, 64) b[j] = 1ull << j;
vector<ull> tmp;
for (auto [_, t]: v) {
a.pb(t);
tmp.pb(t);
}
tmp = orthogonal_complement(64, tmp);
for (auto t: tmp) {
a.pb(t);
}
// 逆行列の計算
rep(j, 64) {
rep(k, j, 64) if (a[k] >> j & 1) {
swap(a[k], a[j]);
swap(b[k], b[j]);
}
assert(a[j] >> j & 1);
rep(k, 64) {
if (k == j) continue;
if (a[k] >> j & 1) {
a[k] ^= a[j];
b[k] ^= b[j];
}
}
}
{
vector<ull> nb(64);
rep(j, 64) rep(k, 64) {
if (b[j] >> k & 1) {
nb[63 - k] |= 1ull << j;
}
}
swap(b, nb);
}
rep(j, 64) {
rep(k, j) chmin(b[j], b[j] ^ b[k]);
assert(b[j]);
}
ull mx = 0;
rep(j, 64 - SZ(v)) chmax(mx, mx ^ b[j]);
ull ans = 0;
int r = n;
rrep(j, SZ(v)) {
auto [d, _] = v[j];
if (d < r) ans += mx * (r - d);
r = d;
chmax(mx, mx ^ b[63 - j]);
}
if (r) ans += mx * r;
print(ans);
}
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 2ms
memory: 3396kb
input:
2 1 2 2 3 2 1 1
output:
4 2
result:
ok 2 lines
Test #2:
score: 0
Accepted
time: 2ms
memory: 3356kb
input:
5 1 2 2 3 3 83 75 58 4 125 124 58 16 4 39 125 71 112 3 69 66 5 4 48 73 69 6
output:
171 125 183 142 243
result:
ok 5 lines
Test #3:
score: 0
Accepted
time: 2ms
memory: 3372kb
input:
2 1 0 0
output:
0 0
result:
ok 2 lines
Test #4:
score: 0
Accepted
time: 50ms
memory: 5032kb
input:
500 1 2 3 2 1 2 6 2 4 6 6 10 7 12 7 9 8 10 12 20 12 19 15 24 25 23 25 22 29 29 28 26 31 25 34 31 35 33 39 37 36 42 37 37 41 43 42 46 45 45 49 52 53 50 46 50 49 52 58 57 57 61 57 59 56 65 63 59 66 65 63 70 70 68 72 71 73 72 72 76 72 75 80 76 76 82 83 80 89 89 91 85 85 90 89 89 89 92 93 91 92 93 98 96...
output:
18434153946472599289 17931933346714042066 17916198204903720383 17916198204176061148 17931933346710961779 18445169471807930489 17931926407666058065 18445169471807930348 17931933346714042064 17916198204176061019 18445169471807930488 18446738828973977865 17916198204176061018 17931926407666058064 184467...
result:
ok 500 lines
Test #5:
score: 0
Accepted
time: 4075ms
memory: 153760kb
input:
49999 1 1 3 1 1 5 2 4 1 8 7 6 3 13 4 12 12 1 19 8 2 16 23 6 21 3 11 1 21 7 14 6 3 28 31 24 6 22 27 11 17 25 41 5 17 13 1 48 17 14 31 18 43 30 53 27 7 39 4 2 11 55 48 17 32 15 24 44 53 63 70 31 21 17 74 37 34 48 15 33 14 53 8 9 72 10 65 77 69 36 32 61 51 63 77 25 71 47 59 94 39 41 77 24 5 33 43 18 72...
output:
18446744063446965319 18316893942693974299 18446744073709548919 18355577725686532847 18446744073709551614 18446744073709551615 18446744073709551614 18446744073709551615 18446736549671322125 12348860911474380074 18446744072601433415 18446744073709551615 17335313836902106838 18446744073709551576 184467...
result:
ok 49999 lines
Test #6:
score: 0
Accepted
time: 4549ms
memory: 150520kb
input:
50000 1 1 1 2 2 2 3 4 4 5 5 5 6 6 8 8 8 8 8 8 9 9 10 10 11 11 12 12 13 13 13 14 14 14 15 15 15 16 18 18 19 19 20 20 20 20 21 23 24 24 24 24 26 26 27 27 28 29 29 29 30 30 30 31 31 32 32 32 32 33 33 33 34 34 35 35 36 36 36 36 37 38 38 38 38 39 39 39 40 41 42 43 44 44 45 45 45 46 46 47 47 47 47 47 48 4...
output:
17388026687988753207 18446123107769912009 18433598785516292263 18446483694069646475 18446744073700722557 18446743950305151556 18446123107769912008 18446170606667738311 18446744071353497819 18446744065870877991 18446744073709531050 18446744073709231216 18446546425974411728 18446744073709533965 184467...
result:
ok 50000 lines
Test #7:
score: 0
Accepted
time: 3034ms
memory: 152940kb
input:
50000 1 1 3 4 5 6 5 7 3 10 6 12 12 12 5 8 17 4 19 20 17 22 22 22 25 25 27 27 28 22 31 31 31 34 34 35 37 38 38 40 41 42 43 42 44 46 40 42 47 50 50 40 53 41 42 56 57 58 59 59 61 62 59 64 65 65 59 61 69 62 71 72 73 72 72 74 58 62 79 80 79 82 74 84 84 84 46 72 89 90 90 34 93 94 94 96 94 95 95 100 101 10...
output:
68374895075 72669862370 64079927780 59784960485 55489993190 59784959085 64079926378 51195028691 68374893673 68374895075 72669862370 64079926376 68374893671 68374893671 68374893671 59784960485 46900064818 51195032113 64079927780 68374895075 72669862370 42605100943 46900068238 46900068216 46900068238 ...
result:
ok 50000 lines
Test #8:
score: 0
Accepted
time: 2000ms
memory: 60400kb
input:
25000 1 2 3 4 3 3 1 7 4 5 8 8 6 5 6 12 10 5 13 16 1 11 9 22 2 26 7 15 10 9 18 11 14 27 35 30 6 38 20 37 14 28 9 12 29 19 16 17 17 25 51 52 23 24 45 56 17 33 31 32 13 62 21 33 18 5 67 20 41 58 61 34 31 19 25 28 75 76 24 23 27 36 19 6 85 15 14 50 49 54 29 81 23 79 32 82 97 53 40 42 66 46 30 78 40 43 8...
output:
18446744070444123456 18446744051208917090 18446744073687263354 18446744073709551561 18446742841285205723 18446175471565024345 18446744041357423475 18371821048696416150 18446743733103011459 18446744058754418143 18446744073615083416 18438543872624704476 18428215314831608530 18146245131772760630 184467...
result:
ok 25000 lines
Test #9:
score: -100
Time Limit Exceeded
input:
50000 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...