結果
| 問題 | No.1215 都市消滅ビーム |
| ユーザー |
 maspy
|
| 提出日時 | 2022-10-28 10:28:34 |
| 言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
TLE
|
| 実行時間 | - |
| コード長 | 31,882 bytes |
| コンパイル時間 | 6,093 ms |
| コンパイル使用メモリ | 291,764 KB |
| 実行使用メモリ | 32,132 KB |
| 最終ジャッジ日時 | 2023-09-19 03:54:23 |
| 合計ジャッジ時間 | 44,536 ms |
|
ジャッジサーバーID （参考情報） |
judge11 / judge14 |
（要ログイン）
テストケース
テストケース表示| 入力 | 結果 | 実行時間 実行使用メモリ |
|---|---|---|
| testcase_00 | AC | 2 ms
32,132 KB |
| testcase_01 | AC | 2 ms
4,376 KB |
| testcase_02 | AC | 2 ms
4,380 KB |
| testcase_03 | AC | 1 ms
4,376 KB |
| testcase_04 | AC | 2 ms
4,376 KB |
| testcase_05 | AC | 2 ms
4,376 KB |
| testcase_06 | AC | 1 ms
4,380 KB |
| testcase_07 | AC | 3 ms
4,384 KB |
| testcase_08 | AC | 2 ms
4,380 KB |
| testcase_09 | AC | 2 ms
4,380 KB |
| testcase_10 | AC | 2 ms
4,376 KB |
| testcase_11 | AC | 2 ms
4,376 KB |
| testcase_12 | AC | 2 ms
4,376 KB |
| testcase_13 | AC | 637 ms
12,532 KB |
| testcase_14 | AC | 896 ms
10,144 KB |
| testcase_15 | AC | 2,122 ms
18,272 KB |
| testcase_16 | AC | 504 ms
8,652 KB |
| testcase_17 | AC | 707 ms
13,948 KB |
| testcase_18 | AC | 920 ms
12,332 KB |
| testcase_19 | AC | 82 ms
4,588 KB |
| testcase_20 | AC | 1,957 ms
16,512 KB |
| testcase_21 | AC | 31 ms
4,380 KB |
| testcase_22 | AC | 1,355 ms
13,516 KB |
| testcase_23 | AC | 1,159 ms
15,048 KB |
| testcase_24 | AC | 1,031 ms
11,512 KB |
| testcase_25 | AC | 640 ms
10,492 KB |
| testcase_26 | AC | 1,404 ms
15,616 KB |
| testcase_27 | AC | 1,615 ms
18,072 KB |
| testcase_28 | AC | 852 ms
9,620 KB |
| testcase_29 | AC | 779 ms
9,860 KB |
| testcase_30 | AC | 371 ms
12,584 KB |
| testcase_31 | AC | 285 ms
6,980 KB |
| testcase_32 | AC | 50 ms
11,352 KB |
| testcase_33 | AC | 64 ms
9,960 KB |
| testcase_34 | AC | 4,063 ms
27,460 KB |
| testcase_35 | AC | 4,087 ms
27,664 KB |
| testcase_36 | AC | 4,085 ms
27,488 KB |
| testcase_37 | TLE | - |
| testcase_38 | -- | - |
| testcase_39 | -- | - |
| testcase_40 | -- | - |
| testcase_41 | -- | - |
ソースコード
#line 1 "/home/maspy/compro/library/my_template.hpp"
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using pi = pair<ll, ll>;
using vi = vector<ll>;
using u32 = unsigned int;
using u64 = unsigned long long;
using i128 = __int128;
template <class T>
using vc = vector<T>;
template <class T>
using vvc = vector<vc<T>>;
template <class T>
using vvvc = vector<vvc<T>>;
template <class T>
using vvvvc = vector<vvvc<T>>;
template <class T>
using vvvvvc = vector<vvvvc<T>>;
template <class T>
using pq = priority_queue<T>;
template <class T>
using pqg = priority_queue<T, vector<T>, greater<T>>;
#define vec(type, name, ...) vector<type> name(__VA_ARGS__)
#define vv(type, name, h, ...) \
vector<vector<type>> name(h, vector<type>(__VA_ARGS__))
#define vvv(type, name, h, w, ...) \
vector<vector<vector<type>>> name( \
h, vector<vector<type>>(w, vector<type>(__VA_ARGS__)))
#define vvvv(type, name, a, b, c, ...) \
vector<vector<vector<vector<type>>>> name( \
a, vector<vector<vector<type>>>( \
b, vector<vector<type>>(c, vector<type>(__VA_ARGS__))))
// https://trap.jp/post/1224/
#define FOR1(a) for (ll _ = 0; _ < ll(a); ++_)
#define FOR2(i, a) for (ll i = 0; i < ll(a); ++i)
#define FOR3(i, a, b) for (ll i = a; i < ll(b); ++i)
#define FOR4(i, a, b, c) for (ll i = a; i < ll(b); i += (c))
#define FOR1_R(a) for (ll i = (a)-1; i >= ll(0); --i)
#define FOR2_R(i, a) for (ll i = (a)-1; i >= ll(0); --i)
#define FOR3_R(i, a, b) for (ll i = (b)-1; i >= ll(a); --i)
#define FOR4_R(i, a, b, c) for (ll i = (b)-1; i >= ll(a); i -= (c))
#define overload4(a, b, c, d, e, ...) e
#define FOR(...) overload4(__VA_ARGS__, FOR4, FOR3, FOR2, FOR1)(__VA_ARGS__)
#define FOR_R(...) \
overload4(__VA_ARGS__, FOR4_R, FOR3_R, FOR2_R, FOR1_R)(__VA_ARGS__)
#define FOR_subset(t, s) for (ll t = s; t >= 0; t = (t == 0 ? -1 : (t - 1) & s))
#define all(x) x.begin(), x.end()
#define len(x) ll(x.size())
#define elif else if
#define eb emplace_back
#define mp make_pair
#define mt make_tuple
#define fi first
#define se second
#define stoi stoll
template <typename T, typename U>
T SUM(const vector<U> &A) {
T sum = 0;
for (auto &&a: A) sum += a;
return sum;
}
#define MIN(v) *min_element(all(v))
#define MAX(v) *max_element(all(v))
#define LB(c, x) distance((c).begin(), lower_bound(all(c), (x)))
#define UB(c, x) distance((c).begin(), upper_bound(all(c), (x)))
#define UNIQUE(x) sort(all(x)), x.erase(unique(all(x)), x.end())
int popcnt(int x) { return __builtin_popcount(x); }
int popcnt(u32 x) { return __builtin_popcount(x); }
int popcnt(ll x) { return __builtin_popcountll(x); }
int popcnt(u64 x) { return __builtin_popcountll(x); }
// (0, 1, 2, 3, 4) -> (-1, 0, 1, 1, 2)
int topbit(int x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); }
int topbit(u32 x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); }
int topbit(ll x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); }
int topbit(u64 x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); }
// (0, 1, 2, 3, 4) -> (-1, 0, 1, 0, 2)
int lowbit(int x) { return (x == 0 ? -1 : __builtin_ctz(x)); }
int lowbit(u32 x) { return (x == 0 ? -1 : __builtin_ctz(x)); }
int lowbit(ll x) { return (x == 0 ? -1 : __builtin_ctzll(x)); }
int lowbit(u64 x) { return (x == 0 ? -1 : __builtin_ctzll(x)); }
template <typename T>
T pick(deque<T> &que) {
T a = que.front();
que.pop_front();
return a;
}
template <typename T>
T pick(pq<T> &que) {
T a = que.top();
que.pop();
return a;
}
template <typename T>
T pick(pqg<T> &que) {
assert(que.size());
T a = que.top();
que.pop();
return a;
}
template <typename T>
T pick(vc<T> &que) {
assert(que.size());
T a = que.back();
que.pop_back();
return a;
}
template <typename T, typename U>
T ceil(T x, U y) {
return (x > 0 ? (x + y - 1) / y : x / y);
}
template <typename T, typename U>
T floor(T x, U y) {
return (x > 0 ? x / y : (x - y + 1) / y);
}
template <typename T, typename U>
pair<T, T> divmod(T x, U y) {
T q = floor(x, y);
return {q, x - q * y};
}
template <typename F>
ll binary_search(F check, ll ok, ll ng) {
assert(check(ok));
while (abs(ok - ng) > 1) {
auto x = (ng + ok) / 2;
tie(ok, ng) = (check(x) ? mp(x, ng) : mp(ok, x));
}
return ok;
}
template <typename F>
double binary_search_real(F check, double ok, double ng, int iter = 100) {
FOR(iter) {
double x = (ok + ng) / 2;
tie(ok, ng) = (check(x) ? mp(x, ng) : mp(ok, x));
}
return (ok + ng) / 2;
}
template <class T, class S>
inline bool chmax(T &a, const S &b) {
return (a < b ? a = b, 1 : 0);
}
template <class T, class S>
inline bool chmin(T &a, const S &b) {
return (a > b ? a = b, 1 : 0);
}
vc<int> s_to_vi(const string &S, char first_char) {
vc<int> A(S.size());
FOR(i, S.size()) { A[i] = S[i] - first_char; }
return A;
}
template <typename T, typename U>
vector<T> cumsum(vector<U> &A, int off = 1) {
int N = A.size();
vector<T> B(N + 1);
FOR(i, N) { B[i + 1] = B[i] + A[i]; }
if (off == 0) B.erase(B.begin());
return B;
}
template <typename CNT, typename T>
vc<CNT> bincount(const vc<T> &A, int size) {
vc<CNT> C(size);
for (auto &&x: A) { ++C[x]; }
return C;
}
// stable
template <typename T>
vector<int> argsort(const vector<T> &A) {
vector<int> ids(A.size());
iota(all(ids), 0);
sort(all(ids),
[&](int i, int j) { return A[i] < A[j] || (A[i] == A[j] && i < j); });
return ids;
}
// A[I[0]], A[I[1]], ...
template <typename T>
vc<T> rearrange(const vc<T> &A, const vc<int> &I) {
int n = len(I);
vc<T> B(n);
FOR(i, n) B[i] = A[I[i]];
return B;
}
#line 1 "/home/maspy/compro/library/other/io.hpp"
// based on yosupo's fastio
#include <unistd.h>
namespace detail {
template <typename T, decltype(&T::is_modint) = &T::is_modint>
std::true_type check_value(int);
template <typename T>
std::false_type check_value(long);
} // namespace detail
template <typename T>
struct is_modint : decltype(detail::check_value<T>(0)) {};
template <typename T>
using is_modint_t = enable_if_t<is_modint<T>::value>;
template <typename T>
using is_not_modint_t = enable_if_t<!is_modint<T>::value>;
struct Scanner {
FILE *fp;
char line[(1 << 15) + 1];
size_t st = 0, ed = 0;
void reread() {
memmove(line, line + st, ed - st);
ed -= st;
st = 0;
ed += fread(line + ed, 1, (1 << 15) - ed, fp);
line[ed] = '\0';
}
bool succ() {
while (true) {
if (st == ed) {
reread();
if (st == ed) return false;
}
while (st != ed && isspace(line[st])) st++;
if (st != ed) break;
}
if (ed - st <= 50) {
bool sep = false;
for (size_t i = st; i < ed; i++) {
if (isspace(line[i])) {
sep = true;
break;
}
}
if (!sep) reread();
}
return true;
}
template <class T, enable_if_t<is_same<T, string>::value, int> = 0>
bool read_single(T &ref) {
if (!succ()) return false;
while (true) {
size_t sz = 0;
while (st + sz < ed && !isspace(line[st + sz])) sz++;
ref.append(line + st, sz);
st += sz;
if (!sz || st != ed) break;
reread();
}
return true;
}
template <class T, enable_if_t<is_integral<T>::value, int> = 0>
bool read_single(T &ref) {
if (!succ()) return false;
bool neg = false;
if (line[st] == '-') {
neg = true;
st++;
}
ref = T(0);
while (isdigit(line[st])) { ref = 10 * ref + (line[st++] & 0xf); }
if (neg) ref = -ref;
return true;
}
template <class T, is_modint_t<T> * = nullptr>
bool read_single(T &ref) {
long long val = 0;
bool f = read_single(val);
ref = T(val);
return f;
}
bool read_single(double &ref) {
string s;
if (!read_single(s)) return false;
ref = std::stod(s);
return true;
}
bool read_single(char &ref) {
string s;
if (!read_single(s) || s.size() != 1) return false;
ref = s[0];
return true;
}
template <class T>
bool read_single(vector<T> &ref) {
for (auto &d: ref) {
if (!read_single(d)) return false;
}
return true;
}
template <class T, class U>
bool read_single(pair<T, U> &p) {
return (read_single(p.first) && read_single(p.second));
}
template <class A, class B, class C>
bool read_single(tuple<A, B, C> &p) {
return (read_single(get<0>(p)) && read_single(get<1>(p))
&& read_single(get<2>(p)));
}
template <class A, class B, class C, class D>
bool read_single(tuple<A, B, C, D> &p) {
return (read_single(get<0>(p)) && read_single(get<1>(p))
&& read_single(get<2>(p)) && read_single(get<3>(p)));
}
void read() {}
template <class H, class... T>
void read(H &h, T &... t) {
bool f = read_single(h);
assert(f);
read(t...);
}
Scanner(FILE *fp) : fp(fp) {}
};
struct Printer {
Printer(FILE *_fp) : fp(_fp) {}
~Printer() { flush(); }
static constexpr size_t SIZE = 1 << 15;
FILE *fp;
char line[SIZE], small[50];
size_t pos = 0;
void flush() {
fwrite(line, 1, pos, fp);
pos = 0;
}
void write(const char &val) {
if (pos == SIZE) flush();
line[pos++] = val;
}
template <class T, enable_if_t<is_integral<T>::value, int> = 0>
void write(T val) {
if (pos > (1 << 15) - 50) flush();
if (val == 0) {
write('0');
return;
}
if (val < 0) {
write('-');
val = -val; // todo min
}
size_t len = 0;
while (val) {
small[len++] = char(0x30 | (val % 10));
val /= 10;
}
for (size_t i = 0; i < len; i++) { line[pos + i] = small[len - 1 - i]; }
pos += len;
}
void write(const string &s) {
for (char c: s) write(c);
}
void write(const char *s) {
size_t len = strlen(s);
for (size_t i = 0; i < len; i++) write(s[i]);
}
void write(const double &x) {
ostringstream oss;
oss << fixed << setprecision(15) << x;
string s = oss.str();
write(s);
}
void write(const long double &x) {
ostringstream oss;
oss << fixed << setprecision(15) << x;
string s = oss.str();
write(s);
}
template <class T, is_modint_t<T> * = nullptr>
void write(T &ref) {
write(ref.val);
}
template <class T>
void write(const vector<T> &val) {
auto n = val.size();
for (size_t i = 0; i < n; i++) {
if (i) write(' ');
write(val[i]);
}
}
template <class T, class U>
void write(const pair<T, U> &val) {
write(val.first);
write(' ');
write(val.second);
}
template <class A, class B, class C>
void write(const tuple<A, B, C> &val) {
auto &[a, b, c] = val;
write(a), write(' '), write(b), write(' '), write(c);
}
template <class A, class B, class C, class D>
void write(const tuple<A, B, C, D> &val) {
auto &[a, b, c, d] = val;
write(a), write(' '), write(b), write(' '), write(c), write(' '), write(d);
}
template <class A, class B, class C, class D, class E>
void write(const tuple<A, B, C, D, E> &val) {
auto &[a, b, c, d, e] = val;
write(a), write(' '), write(b), write(' '), write(c), write(' '), write(d), write(' '), write(e);
}
template <class A, class B, class C, class D, class E, class F>
void write(const tuple<A, B, C, D, E, F> &val) {
auto &[a, b, c, d, e, f] = val;
write(a), write(' '), write(b), write(' '), write(c), write(' '), write(d), write(' '), write(e), write(' '), write(f);
}
template <class T, size_t S>
void write(const array<T, S> &val) {
auto n = val.size();
for (size_t i = 0; i < n; i++) {
if (i) write(' ');
write(val[i]);
}
}
void write(i128 val) {
string s;
bool negative = 0;
if(val < 0){
negative = 1;
val = -val;
}
while (val) {
s += '0' + int(val % 10);
val /= 10;
}
if(negative) s += "-";
reverse(all(s));
if (len(s) == 0) s = "0";
write(s);
}
};
Scanner scanner = Scanner(stdin);
Printer printer = Printer(stdout);
void flush() { printer.flush(); }
void print() { printer.write('\n'); }
template <class Head, class... Tail>
void print(Head &&head, Tail &&... tail) {
printer.write(head);
if (sizeof...(Tail)) printer.write(' ');
print(forward<Tail>(tail)...);
}
void read() {}
template <class Head, class... Tail>
void read(Head &head, Tail &... tail) {
scanner.read(head);
read(tail...);
}
#define INT(...) \
int __VA_ARGS__; \
read(__VA_ARGS__)
#define LL(...) \
ll __VA_ARGS__; \
read(__VA_ARGS__)
#define STR(...) \
string __VA_ARGS__; \
read(__VA_ARGS__)
#define CHAR(...) \
char __VA_ARGS__; \
read(__VA_ARGS__)
#define DBL(...) \
double __VA_ARGS__; \
read(__VA_ARGS__)
#define VEC(type, name, size) \
vector<type> name(size); \
read(name)
#define VV(type, name, h, w) \
vector<vector<type>> name(h, vector<type>(w)); \
read(name)
void YES(bool t = 1) { print(t ? "YES" : "NO"); }
void NO(bool t = 1) { YES(!t); }
void Yes(bool t = 1) { print(t ? "Yes" : "No"); }
void No(bool t = 1) { Yes(!t); }
void yes(bool t = 1) { print(t ? "yes" : "no"); }
void no(bool t = 1) { yes(!t); }
#line 2 "/home/maspy/compro/library/ds/disjointsparse.hpp"
template <class Monoid>
struct DisjointSparse {
using X = typename Monoid::value_type;
using value_type = X;
int n, log;
vc<vc<X>> dat;
DisjointSparse() {}
DisjointSparse(vc<X>& A) { build(A); }
template <typename F>
DisjointSparse(int n, F f) {
vc<X> A(n);
FOR(i, n) A[i] = f(i);
build(A);
}
void build(vc<X>& A) {
n = len(A);
log = 1;
while ((1 << log) < n) ++log;
dat.assign(log, A);
FOR(i, log) {
auto& v = dat[i];
int b = 1 << i;
for (int m = b; m <= n; m += 2 * b) {
int L = m - b, R = min(n, m + b);
FOR3_R(j, L + 1, m) v[j - 1] = Monoid::op(v[j - 1], v[j]);
FOR3(j, m, R - 1) v[j + 1] = Monoid::op(v[j], v[j + 1]);
}
}
}
X prod(int L, int R) {
if (L == R) return Monoid::unit();
--R;
if (L == R) return dat[0][L];
int k = 31 - __builtin_clz(L ^ R);
return Monoid::op(dat[k][L], dat[k][R]);
}
template <class F>
int max_right(const F& check, int L) {
assert(0 <= L && L <= n && check(Monoid::unit()));
if (L == n) return n;
int ok = L, ng = n + 1;
while (ok + 1 < ng) {
int k = (ok + ng) / 2;
if (check(prod(L, k))) {
ok = k;
} else {
ng = k;
}
}
return ok;
}
template <class F>
int min_left(const F& check, int R) {
assert(0 <= R && R <= n && check(Monoid::unit()));
if (R == 0) return 0;
int ok = R, ng = -1;
while (ng + 1 < ok) {
int k = (ok + ng) / 2;
if (check(prod(k, R))) {
ok = k;
} else {
ng = k;
}
}
return ok;
}
void debug() {
print("disjoint sparse table");
FOR(i, log) print(dat[i]);
}
};
#line 2 "/home/maspy/compro/library/alg/monoid/minmax.hpp"
template <class X>
struct Monoid_MinMax {
using P = pair<X, X>;
using value_type = P;
static constexpr P op(const P x, const P y) noexcept {
return {min(x.fi, y.fi), max(x.se, y.se)};
}
static constexpr P from_element(const X x) { return {x, x}; }
static constexpr P unit() {
return {numeric_limits<X>::max(), numeric_limits<X>::lowest()};
}
static constexpr bool commute = true;
};
#line 2 "/home/maspy/compro/library/graph/base.hpp"
template <typename T>
struct Edge {
int frm, to;
T cost;
int id;
};
template <typename T = int, bool directed = false>
struct Graph {
int N, M;
using cost_type = T;
using edge_type = Edge<T>;
vector<edge_type> edges;
vector<int> indptr;
vector<edge_type> csr_edges;
vc<int> vc_deg, vc_indeg, vc_outdeg;
bool prepared;
class OutgoingEdges {
public:
OutgoingEdges(const Graph* G, int l, int r) : G(G), l(l), r(r) {}
const edge_type* begin() const {
if (l == r) { return 0; }
return &G->csr_edges[l];
}
const edge_type* end() const {
if (l == r) { return 0; }
return &G->csr_edges[r];
}
private:
const Graph* G;
int l, r;
};
bool is_prepared() { return prepared; }
constexpr bool is_directed() { return directed; }
Graph() : N(0), M(0), prepared(0) {}
Graph(int N) : N(N), M(0), prepared(0) {}
void resize(int n) { N = n; }
void add(int frm, int to, T cost = 1, int i = -1) {
assert(!prepared);
assert(0 <= frm && 0 <= to && to < N);
if (i == -1) i = M;
auto e = edge_type({frm, to, cost, i});
edges.eb(e);
++M;
}
// wt, off
void read_tree(bool wt = false, int off = 1) { read_graph(N - 1, wt, off); }
void read_graph(int M, bool wt = false, int off = 1) {
for (int m = 0; m < M; ++m) {
INT(a, b);
a -= off, b -= off;
if (!wt) {
add(a, b);
} else {
T c;
read(c);
add(a, b, c);
}
}
build();
}
void read_parent(int off = 1) {
for (int v = 1; v < N; ++v) {
INT(p);
p -= off;
add(p, v);
}
build();
}
void build() {
assert(!prepared);
prepared = true;
indptr.assign(N + 1, 0);
for (auto&& e: edges) {
indptr[e.frm + 1]++;
if (!directed) indptr[e.to + 1]++;
}
for (int v = 0; v < N; ++v) { indptr[v + 1] += indptr[v]; }
auto counter = indptr;
csr_edges.resize(indptr.back() + 1);
for (auto&& e: edges) {
csr_edges[counter[e.frm]++] = e;
if (!directed)
csr_edges[counter[e.to]++] = edge_type({e.to, e.frm, e.cost, e.id});
}
}
OutgoingEdges operator[](int v) const {
assert(prepared);
return {this, indptr[v], indptr[v + 1]};
}
vc<int> deg_array() {
if (vc_deg.empty()) calc_deg();
return vc_deg;
}
pair<vc<int>, vc<int>> deg_array_inout() {
if (vc_indeg.empty()) calc_deg_inout();
return {vc_indeg, vc_outdeg};
}
int deg(int v) {
if (vc_deg.empty()) calc_deg();
return vc_deg[v];
}
int in_deg(int v) {
if (vc_indeg.empty()) calc_deg_inout();
return vc_indeg[v];
}
int out_deg(int v) {
if (vc_outdeg.empty()) calc_deg_inout();
return vc_outdeg[v];
}
void debug() {
print("Graph");
if (!prepared) {
print("frm to cost id");
for (auto&& e: edges) print(e.frm, e.to, e.cost, e.id);
} else {
print("indptr", indptr);
print("frm to cost id");
FOR(v, N) for (auto&& e: (*this)[v]) print(e.frm, e.to, e.cost, e.id);
}
}
private:
void calc_deg() {
assert(vc_deg.empty());
vc_deg.resize(N);
for (auto&& e: edges) vc_deg[e.frm]++, vc_deg[e.to]++;
}
void calc_deg_inout() {
assert(vc_indeg.empty());
vc_indeg.resize(N);
vc_outdeg.resize(N);
for (auto&& e: edges) { vc_indeg[e.to]++, vc_outdeg[e.frm]++; }
}
};
#line 3 "/home/maspy/compro/library/graph/tree.hpp"
// HLD euler tour をとっていろいろ。
// 木以外、非連結でも dfs 順序や親がとれる。
template <typename GT>
struct TREE {
GT &G;
using WT = typename GT::cost_type;
int N;
bool hld;
vector<int> LID, RID, head, V, parent, root;
vc<int> depth;
vc<WT> depth_weighted;
vector<bool> in_tree;
TREE(GT &G, int r = -1, bool hld = 1)
: G(G),
N(G.N),
hld(hld),
LID(G.N),
RID(G.N),
head(G.N, r),
V(G.N),
parent(G.N, -1),
root(G.N, -1),
depth(G.N, -1),
depth_weighted(G.N, 0),
in_tree(G.M, 0) {
assert(G.is_prepared());
int t1 = 0;
if (r != -1) {
dfs_sz(r, -1);
dfs_hld(r, t1);
} else {
for (int r = 0; r < N; ++r) {
if (parent[r] == -1) {
head[r] = r;
dfs_sz(r, -1);
dfs_hld(r, t1);
}
}
}
for (auto &&v: V) root[v] = (parent[v] == -1 ? v : root[parent[v]]);
}
void dfs_sz(int v, int p) {
auto &sz = RID;
parent[v] = p;
depth[v] = (p == -1 ? 0 : depth[p] + 1);
sz[v] = 1;
int l = G.indptr[v], r = G.indptr[v + 1];
auto &csr = G.csr_edges;
// 使う辺があれば先頭にする
for (int i = r - 2; i >= l; --i) {
if (hld && depth[csr[i + 1].to] == -1) swap(csr[i], csr[i + 1]);
}
int hld_sz = 0;
for (int i = l; i < r; ++i) {
auto e = csr[i];
if (depth[e.to] != -1) continue;
in_tree[e.id] = 1;
depth_weighted[e.to] = depth_weighted[v] + e.cost;
dfs_sz(e.to, v);
sz[v] += sz[e.to];
if (hld && chmax(hld_sz, sz[e.to]) && l < i) { swap(csr[l], csr[i]); }
}
}
void dfs_hld(int v, int ×) {
LID[v] = times++;
RID[v] += LID[v];
V[LID[v]] = v;
bool heavy = true;
for (auto &&e: G[v]) {
if (!in_tree[e.id] || depth[e.to] <= depth[v]) continue;
head[e.to] = (heavy ? head[v] : e.to);
heavy = false;
dfs_hld(e.to, times);
}
}
vc<int> heavy_path_at(int v) {
vc<int> P = {v};
while (1) {
int a = P.back();
for (auto &&e: G[a]) {
if (e.to != parent[a] && head[e.to] == v) {
P.eb(e.to);
break;
}
}
if (P.back() == a) break;
}
return P;
}
int e_to_v(int eid) {
auto e = G.edges[eid];
return (parent[e.frm] == e.to ? e.frm : e.to);
}
int ELID(int v) { return 2 * LID[v] - depth[v]; }
int ERID(int v) { return 2 * RID[v] - depth[v] - 1; }
/* k: 0-indexed */
int LA(int v, int k) {
assert(k <= depth[v]);
while (1) {
int u = head[v];
if (LID[v] - k >= LID[u]) return V[LID[v] - k];
k -= LID[v] - LID[u] + 1;
v = parent[u];
}
}
int LCA(int u, int v) {
for (;; v = parent[head[v]]) {
if (LID[u] > LID[v]) swap(u, v);
if (head[u] == head[v]) return u;
}
}
int lca(int u, int v) { return LCA(u, v); }
int la(int u, int v) { return LA(u, v); }
int subtree_size(int v) { return RID[v] - LID[v]; }
int dist(int a, int b) {
int c = LCA(a, b);
return depth[a] + depth[b] - 2 * depth[c];
}
WT dist(int a, int b, bool weighted) {
assert(weighted);
int c = LCA(a, b);
return depth_weighted[a] + depth_weighted[b] - WT(2) * depth_weighted[c];
}
// a is in b
bool in_subtree(int a, int b) { return LID[b] <= LID[a] && LID[a] < RID[b]; }
int jump(int a, int b, ll k = 1) {
if (k == 1) {
if (a == b) return -1;
return (in_subtree(b, a) ? LA(b, depth[b] - depth[a] - 1) : parent[a]);
}
int c = LCA(a, b);
int d_ac = depth[a] - depth[c];
int d_bc = depth[b] - depth[c];
if (k > d_ac + d_bc) return -1;
if (k <= d_ac) return LA(a, k);
return LA(b, d_ac + d_bc - k);
}
vc<int> collect_child(int v) {
vc<int> res;
for (auto &&e: G[v])
if (e.to != parent[v]) res.eb(e.to);
return res;
}
vc<pair<int, int>> get_path_decomposition(int u, int v, bool edge) {
// [始点, 終点] の"閉"区間列。
vc<pair<int, int>> up, down;
while (1) {
if (head[u] == head[v]) break;
if (LID[u] < LID[v]) {
down.eb(LID[head[v]], LID[v]);
v = parent[head[v]];
} else {
up.eb(LID[u], LID[head[u]]);
u = parent[head[u]];
}
}
if (LID[u] < LID[v]) down.eb(LID[u] + edge, LID[v]);
elif (LID[v] + edge <= LID[u]) up.eb(LID[u], LID[v] + edge);
reverse(all(down));
up.insert(up.end(), all(down));
return up;
}
void debug() {
print("V", V);
print("LID", LID);
print("RID", RID);
print("parent", parent);
print("depth", depth);
print("head", head);
print("in_tree(edge)", in_tree);
print("root", root);
}
};
#line 2 "/home/maspy/compro/library/random/base.hpp"
u64 RNG_64() {
static uint64_t x_
= uint64_t(chrono::duration_cast<chrono::nanoseconds>(
chrono::high_resolution_clock::now().time_since_epoch())
.count())
* 10150724397891781847ULL;
x_ ^= x_ << 7;
return x_ ^= x_ >> 9;
}
u64 RNG(u64 lim) { return RNG_64() % lim; }
ll RNG(ll l, ll r) { return l + RNG_64() % (r - l); }
#line 2 "/home/maspy/compro/library/alg/group/add.hpp"
template <typename E>
struct Group_Add {
using X = E;
using value_type = X;
static constexpr X op(const X &x, const X &y) noexcept { return x + y; }
static constexpr X inverse(const X &x) noexcept { return -x; }
static constexpr X power(const X &x, ll n) noexcept { return X(n) * x; }
static constexpr X unit() { return X(0); }
static constexpr bool commute = true;
};
#line 3 "/home/maspy/compro/library/ds/fenwick.hpp"
template <typename AbelGroup>
struct FenwickTree {
using E = typename AbelGroup::value_type;
int n;
vector<E> dat;
E total;
FenwickTree(int n = 0) : n(n) {
assert(AbelGroup::commute);
reset(n);
}
FenwickTree(const vector<E>& v) {
assert(AbelGroup::commute);
build(v);
}
void build(const vc<E>& v) {
n = len(v);
total = AbelGroup::unit();
for (int i = 0; i < n; ++i) total = AbelGroup::op(total, v[i]);
dat = v;
for (int i = 1; i <= n; ++i) {
int j = i + (i & -i);
if (j <= n) dat[j - 1] = AbelGroup::op(dat[i - 1], dat[j - 1]);
}
}
void reset(int sz = 0) {
if (sz) n = sz;
total = AbelGroup::unit();
dat.assign(n, AbelGroup::unit());
}
E prod(int k) {
E ret = AbelGroup::unit();
for (; k > 0; k -= k & -k) ret = AbelGroup::op(ret, dat[k - 1]);
return ret;
}
E prod(int L, int R) {
E pos = AbelGroup::unit();
while (L < R) {
pos = AbelGroup::op(pos, dat[R - 1]);
R -= R & -R;
}
E neg = AbelGroup::unit();
while (R < L) {
neg = AbelGroup::op(neg, dat[L - 1]);
L -= L & -L;
}
return AbelGroup::op(pos, AbelGroup::inverse(neg));
}
E prod_all() { return total; }
E sum(int k) { return prod(k); }
E sum(int L, int R) { return prod(L, R); }
E sum_all() { return total; }
void multiply(int k, E x) {
total = AbelGroup::op(total, x);
for (++k; k <= n; k += k & -k) dat[k - 1] = AbelGroup::op(dat[k - 1], x);
}
void add(int k, E x) { multiply(k, x); }
template <class F>
int max_right(F& check) {
assert(check(E(0)));
ll i = 0;
E s = AbelGroup::unit();
int k = 1;
int N = dat.size() + 1;
while (2 * k < N) k *= 2;
while (k) {
if (i + k < N && check(AbelGroup::op(s, dat[i + k - 1]))) {
i += k;
s = AbelGroup::op(s, dat[i - 1]);
}
k >>= 1;
}
return i;
}
int find_kth(E k) {
auto check = [&](E x) -> bool { return x <= k; };
return max_right(check);
}
void debug() { print("fenwick", dat); }
};
#line 2 "/home/maspy/compro/library/ds/query/point_add_rectangle_sum.hpp"
template <typename AbelGroup, typename XY, bool SMALL_X = false>
struct Point_Add_Rectangle_Sum {
using G = typename AbelGroup::value_type;
using Point = tuple<XY, XY, G>;
vector<Point> point;
vector<tuple<XY, XY, XY, XY>> rect;
Point_Add_Rectangle_Sum() {}
void add_query(XY x, XY y, G w) { point.eb(x, y, w); }
void sum_query(XY xl, XY yl, XY xr, XY yr) { rect.eb(xl, yl, xr, yr); }
vector<G> calc() {
int N = point.size(), Q = rect.size();
if (N == 0 || Q == 0) return vector<G>(Q, AbelGroup::unit());
// X 方向の座圧
int NX = 0;
if (!SMALL_X) {
sort(all(point),
[&](auto &x, auto &y) -> bool { return get<0>(x) < get<0>(y); });
vc<XY> keyX;
keyX.reserve(N);
for (auto &&[a, b, c]: point) {
if (len(keyX) == 0 || keyX.back() != a) { keyX.eb(a); }
a = len(keyX) - 1;
}
keyX.shrink_to_fit();
for (auto &&[xl, yl, xr, yr]: rect) {
xl = LB(keyX, xl);
xr = LB(keyX, xr);
}
NX = len(keyX);
}
if (SMALL_X) {
XY mx = numeric_limits<XY>::max();
for (auto &&[x, y, g]: point) chmin(mx, x);
for (auto &&[x, y, g]: point) x -= mx, chmax(NX, x + 1);
for (auto &&[xl, yl, xr, yr]: rect) {
xl -= mx, xr -= mx;
xl = max(0, min<int>(xl, NX));
xr = max(0, min<int>(xr, NX));
}
}
vc<tuple<XY, int, int, int>> event(Q + Q);
FOR(q, Q) {
auto &[xl, yl, xr, yr] = rect[q];
event[2 * q] = {yl, xl, xr, 2 * q};
event[2 * q + 1] = {yr, xl, xr, 2 * q + 1};
}
sort(all(point),
[&](auto &x, auto &y) -> bool { return get<1>(x) < get<1>(y); });
sort(all(event),
[&](auto &x, auto &y) -> bool { return get<0>(x) < get<0>(y); });
FenwickTree<AbelGroup> bit(NX);
vc<G> res(Q, AbelGroup::unit());
int j = 0;
for (auto &&[y, xl, xr, qq]: event) {
while (j < N && get<1>(point[j]) < y) {
bit.add(get<0>(point[j]), get<2>(point[j]));
++j;
}
G g = bit.sum(xl, xr);
int q = qq / 2;
if (qq % 2 == 0) g = AbelGroup::inverse(g);
res[q] = AbelGroup::op(res[q], g);
}
return res;
}
};
#line 8 "main.cpp"
void solve() {
LL(N, K);
VEC(int, C, K);
for (auto&& x: C) --x;
VEC(ll, D, K);
Graph<bool, 0> G(N);
G.read_tree();
TREE<decltype(G)> tree(G);
N = K;
const ll INF = 1LL << 50;
// suffix のみのとき、および、empty のとき
vc<ll> SUFF;
SUFF.eb(-INF);
{
int lca = -1;
ll sm = 0;
FOR_R(i, N) {
lca = (lca == -1 ? C[i] : tree.lca(lca, C[i]));
sm += D[i];
SUFF.eb(sm + tree.depth[lca]);
}
}
// C[0] との lca の dep
vi dep(N);
FOR(i, N) dep[i] = tree.depth[tree.lca(C[0], C[i])];
// C[n] までの prefix をとったときの sm と dep
vi X1 = D, Y1 = dep;
FOR(i, N - 1) X1[i + 1] += X1[i], chmin(Y1[i + 1], Y1[i]);
// suffix の個数 -> sm, dep
vi X2(N - 1), Y2(N - 1, N);
FOR(n, 1, N - 1) {
X2[n] = X2[n - 1] + D[N - n];
Y2[n] = min(Y2[n - 1], dep[N - n]);
}
ll M = N * (N + 1) / 2 + 1;
auto f = [&](ll LIM) -> ll {
// LIM 以下となるようなものの数え上げ
ll res = 0;
for (auto&& x: SUFF) {
if (x <= LIM) ++res;
}
auto dfs = [&](auto& dfs, int L, int R) -> void {
// L <= a < N-1-b < R
if (R - L <= 1) return;
int M = (L + R) / 2;
dfs(dfs, L, M);
dfs(dfs, M, R);
Point_Add_Rectangle_Sum<Group_Add<int>, ll, true> P1, P2;
FOR(bb, M, R) {
int b = N - 1 - bb;
P2.add_query(Y2[b], X2[b], 1);
}
FOR(a, L, M) {
P2.sum_query(Y1[a] + 1, -INF, N + 1, LIM - X1[a] - Y1[a] + 1);
}
for (auto&& x: P2.calc()) res += x;
FOR(a, L, M) { P1.add_query(Y1[a], X1[a], 1); }
FOR(bb, M, R) {
int b = N - 1 - bb;
P1.sum_query(Y2[b], -INF, N + 1, LIM - X2[b] - Y2[b] + 1);
}
for (auto&& x: P1.calc()) res += x;
};
/*
FOR_R(a, N - 1) {
int b = N - 2 - a;
bit2.add(Y2[b], X2[b], 1);
res += bit2.sum(Y1[a] + 1, -INF, N + 1, LIM - X1[a] - Y1[a] + 1);
}
FOR_R(b, N - 1) {
int a = N - 2 - b;
bit1.add(Y1[a], X1[a], 1);
res += bit1.sum(Y2[b], -INF, N + 1, LIM - X2[b] - Y2[b] + 1);
}
*/
dfs(dfs, 0, N);
return res;
};
auto check = [&](ll x) -> bool {
// med <= x か？
ll cnt = f(x);
return cnt >= (M - cnt);
};
ll pos = 0, neg = 0;
for (auto&& x: D) {
if (x >= 0) pos += x;
if (x < 0) neg += x;
}
auto random_sample = [&]() -> ll {
ll x = RNG(0, M);
if (x < len(SUFF)) return SUFF[x];
ll a = RNG(0, N - 1);
ll b = RNG(0, N - 1);
if (a > b) swap(a, b);
b = b - a;
return X1[a] + X2[b] + min(Y1[a], Y2[b]);
};
ll lo = neg - 1, hi = pos + N;
if (N > 100) {
ll sz = 100000;
vi samples(sz);
FOR(i, sz) samples[i] = random_sample();
sort(all(samples));
chmax(lo, samples[40500]);
chmin(hi, samples[50500]);
}
ll ANS = binary_search(check, hi, lo - 1);
print(ANS);
}
signed main() {
cout << fixed << setprecision(15);
ll T = 1;
// LL(T);
FOR(T) solve();
return 0;
}