結果
| 問題 |
No.2470 Gemini Tree(Ver.Jadeite)
|
| コンテスト | |
| ユーザー |
 rin204
|
| 提出日時 | 2023-07-30 17:06:45 |
| 言語 | C++23 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
WA
|
| 実行時間 | - |
| コード長 | 22,004 bytes |
| コンパイル時間 | 4,322 ms |
| コンパイル使用メモリ | 289,496 KB |
| 実行使用メモリ | 30,272 KB |
| 最終ジャッジ日時 | 2024-11-08 11:16:06 |
| 合計ジャッジ時間 | 16,840 ms |
|
ジャッジサーバーID （参考情報） |
judge3 / judge4 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 25 WA * 2 |
ソースコード
// start A.cpp
// #pragma GCC target("avx2")
// #pragma GCC optimize("O3")
// #pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ull = unsigned long long;
template <class T>
using pq = priority_queue<T>;
template <class T>
using qp = priority_queue<T, vector<T>, greater<T>>;
#define vec(T, A, ...) vector<T> A(__VA_ARGS__);
#define vvec(T, A, h, ...) vector<vector<T>> A(h, vector<T>(__VA_ARGS__));
#define vvvec(T, A, h1, h2, ...) vector<vector<vector<T>>> A(h1, vector<vector<T>>(h2, vector<T>(__VA_ARGS__)));
#ifndef RIN__LOCAL
#define endl "\n"
#endif
#define spa ' '
#define len(A) A.size()
#define all(A) begin(A), end(A)
#define fori1(a) for (ll _ = 0; _ < (a); _++)
#define fori2(i, a) for (ll i = 0; i < (a); i++)
#define fori3(i, a, b) for (ll i = (a); i < (b); i++)
#define fori4(i, a, b, c) for (ll i = (a); ((c) > 0 || i > (b)) && ((c) < 0 || i < (b)); i += (c))
#define overload4(a, b, c, d, e, ...) e
#define fori(...) overload4(__VA_ARGS__, fori4, fori3, fori2, fori1)(__VA_ARGS__)
vector<char> stoc(string &S) {
int n = S.size();
vector<char> ret(n);
for (int i = 0; i < n; i++) ret[i] = S[i];
return ret;
}
#define INT(...) \
int __VA_ARGS__; \
inp(__VA_ARGS__);
#define LL(...) \
ll __VA_ARGS__; \
inp(__VA_ARGS__);
#define STRING(...) \
string __VA_ARGS__; \
inp(__VA_ARGS__);
#define CHAR(...) \
char __VA_ARGS__; \
inp(__VA_ARGS__);
#define VEC(T, A, n) \
vector<T> A(n); \
inp(A);
#define VVEC(T, A, n, m) \
vector<vector<T>> A(n, vector<T>(m)); \
inp(A);
const ll MOD1 = 1000000007;
const ll MOD9 = 998244353;
template <class T>
auto min(const T &a) {
return *min_element(all(a));
}
template <class T>
auto max(const T &a) {
return *max_element(all(a));
}
template <class T, class S>
auto clamp(T &a, const S &l, const S &r) {
return (a > r ? r : a < l ? l : a);
}
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);
}
template <class T, class S>
inline bool chclamp(T &a, const S &l, const S &r) {
auto b = clamp(a, l, r);
return (a != b ? a = b, 1 : 0);
}
void FLUSH() {
cout << flush;
}
void print() {
cout << endl;
}
template <class Head, class... Tail>
void print(Head &&head, Tail &&...tail) {
cout << head;
if (sizeof...(Tail)) cout << spa;
print(forward<Tail>(tail)...);
}
template <typename T>
void print(vector<T> &A) {
int n = A.size();
for (int i = 0; i < n; i++) {
cout << A[i];
if (i != n - 1) cout << ' ';
}
cout << endl;
}
template <typename T>
void print(vector<vector<T>> &A) {
for (auto &row : A) print(row);
}
template <typename T, typename S>
void print(pair<T, S> &A) {
cout << A.first << spa << A.second << endl;
}
template <typename T, typename S>
void print(vector<pair<T, S>> &A) {
for (auto &row : A) print(row);
}
template <typename T, typename S>
void prisep(vector<T> &A, S sep) {
int n = A.size();
for (int i = 0; i < n; i++) {
cout << A[i];
if (i != n - 1) cout << sep;
}
cout << endl;
}
template <typename T, typename S>
void priend(T A, S end) {
cout << A << end;
}
template <typename T>
void priend(T A) {
priend(A, spa);
}
template <typename T, typename S>
bool printif(bool f, T A, S B) {
if (f)
print(A);
else
print(B);
return f;
}
template <class... T>
void inp(T &...a) {
(cin >> ... >> a);
}
template <typename T>
void inp(vector<T> &A) {
for (auto &a : A) cin >> a;
}
template <typename T>
void inp(vector<vector<T>> &A) {
for (auto &row : A) inp(row);
}
template <typename T, typename S>
void inp(pair<T, S> &A) {
inp(A.first, A.second);
}
template <typename T, typename S>
void inp(vector<pair<T, S>> &A) {
for (auto &row : A) inp(row.first, row.second);
}
template <typename T>
T sum(vector<T> &A) {
T tot = 0;
for (auto a : A) tot += a;
return tot;
}
template <typename T>
vector<T> compression(vector<T> X) {
sort(all(X));
X.erase(unique(all(X)), X.end());
return X;
}
vector<vector<int>> read_edges(int n, int m, bool direct = false, int indexed = 1) {
vector<vector<int>> edges(n, vector<int>());
for (int i = 0; i < m; i++) {
INT(u, v);
u -= indexed;
v -= indexed;
edges[u].push_back(v);
if (!direct) edges[v].push_back(u);
}
return edges;
}
vector<vector<int>> read_tree(int n, int indexed = 1) {
return read_edges(n, n - 1, false, indexed);
}
template <typename T>
vector<vector<pair<int, T>>> read_wedges(int n, int m, bool direct = false, int indexed = 1) {
vector<vector<pair<int, T>>> edges(n, vector<pair<int, T>>());
for (int i = 0; i < m; i++) {
INT(u, v);
T w;
inp(w);
u -= indexed;
v -= indexed;
edges[u].push_back({v, w});
if (!direct) edges[v].push_back({u, w});
}
return edges;
}
template <typename T>
vector<vector<pair<int, T>>> read_wtree(int n, int indexed = 1) {
return read_wedges<T>(n, n - 1, false, indexed);
}
inline bool yes(bool f = true) {
cout << (f ? "yes" : "no") << endl;
return f;
}
inline bool Yes(bool f = true) {
cout << (f ? "Yes" : "No") << endl;
return f;
}
inline bool YES(bool f = true) {
cout << (f ? "YES" : "NO") << endl;
return f;
}
inline bool no(bool f = true) {
cout << (!f ? "yes" : "no") << endl;
return f;
}
inline bool No(bool f = true) {
cout << (!f ? "Yes" : "No") << endl;
return f;
}
inline bool NO(bool f = true) {
cout << (!f ? "YES" : "NO") << endl;
return f;
}
// start atcoder/lazysegtree.hpp
#ifndef ATCODER_LAZYSEGTREE_HPP
#define ATCODER_LAZYSEGTREE_HPP 1
#include <algorithm>
#include <cassert>
#include <iostream>
#include <vector>
// start atcoder/internal_bit.hpp
#ifndef ATCODER_INTERNAL_BITOP_HPP
#define ATCODER_INTERNAL_BITOP_HPP 1
#ifdef _MSC_VER
#include <intrin.h>
#endif
namespace atcoder {
namespace internal {
// @param n `0 <= n`
// @return minimum non-negative `x` s.t. `n <= 2**x`
int ceil_pow2(int n) {
int x = 0;
while ((1U << x) < (unsigned int)(n)) x++;
return x;
}
// @param n `1 <= n`
// @return minimum non-negative `x` s.t. `(n & (1 << x)) != 0`
constexpr int bsf_constexpr(unsigned int n) {
int x = 0;
while (!(n & (1 << x))) x++;
return x;
}
// @param n `1 <= n`
// @return minimum non-negative `x` s.t. `(n & (1 << x)) != 0`
int bsf(unsigned int n) {
#ifdef _MSC_VER
unsigned long index;
_BitScanForward(&index, n);
return index;
#else
return __builtin_ctz(n);
#endif
}
} // namespace internal
} // namespace atcoder
#endif // ATCODER_INTERNAL_BITOP_HPP
// end atcoder/internal_bit.hpp
// restart atcoder/lazysegtree.hpp
namespace atcoder {
template <class S, S (*op)(S, S), S (*e)(), class F, S (*mapping)(F, S), F (*composition)(F, F), F (*id)()>
struct lazy_segtree {
public:
lazy_segtree() : lazy_segtree(0) {}
explicit lazy_segtree(int n) : lazy_segtree(std::vector<S>(n, e())) {}
explicit lazy_segtree(const std::vector<S> &v) : _n(int(v.size())) {
log = internal::ceil_pow2(_n);
size = 1 << log;
d = std::vector<S>(2 * size, e());
lz = std::vector<F>(size, id());
for (int i = 0; i < _n; i++) d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void set(int p, S x) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--) push(p >> i);
d[p] = x;
for (int i = 1; i <= log; i++) update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--) push(p >> i);
return d[p];
}
S prod(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
if (l == r) return e();
l += size;
r += size;
for (int i = log; i >= 1; i--) {
if (((l >> i) << i) != l) push(l >> i);
if (((r >> i) << i) != r) push((r - 1) >> i);
}
S sml = e(), smr = e();
while (l < r) {
if (l & 1) sml = op(sml, d[l++]);
if (r & 1) smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S all_prod() {
return d[1];
}
void apply(int p, F f) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--) push(p >> i);
d[p] = mapping(f, d[p]);
for (int i = 1; i <= log; i++) update(p >> i);
}
void apply(int l, int r, F f) {
assert(0 <= l && l <= r && r <= _n);
if (l == r) return;
l += size;
r += size;
for (int i = log; i >= 1; i--) {
if (((l >> i) << i) != l) push(l >> i);
if (((r >> i) << i) != r) push((r - 1) >> i);
}
{
int l2 = l, r2 = r;
while (l < r) {
if (l & 1) all_apply(l++, f);
if (r & 1) all_apply(--r, f);
l >>= 1;
r >>= 1;
}
l = l2;
r = r2;
}
for (int i = 1; i <= log; i++) {
if (((l >> i) << i) != l) update(l >> i);
if (((r >> i) << i) != r) update((r - 1) >> i);
}
}
template <bool (*g)(S)>
int max_right(int l) {
return max_right(l, [](S x) { return g(x); });
}
template <class G>
int max_right(int l, G g) {
assert(0 <= l && l <= _n);
assert(g(e()));
if (l == _n) return _n;
l += size;
for (int i = log; i >= 1; i--) push(l >> i);
S sm = e();
do {
while (l % 2 == 0) l >>= 1;
if (!g(op(sm, d[l]))) {
while (l < size) {
push(l);
l = (2 * l);
if (g(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*g)(S)>
int min_left(int r) {
return min_left(r, [](S x) { return g(x); });
}
template <class G>
int min_left(int r, G g) {
assert(0 <= r && r <= _n);
assert(g(e()));
if (r == 0) return 0;
r += size;
for (int i = log; i >= 1; i--) push((r - 1) >> i);
S sm = e();
do {
r--;
while (r > 1 && (r % 2)) r >>= 1;
if (!g(op(d[r], sm))) {
while (r < size) {
push(r);
r = (2 * r + 1);
if (g(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
std::vector<S> d;
std::vector<F> lz;
void update(int k) {
d[k] = op(d[2 * k], d[2 * k + 1]);
}
void all_apply(int k, F f) {
d[k] = mapping(f, d[k]);
if (k < size) lz[k] = composition(f, lz[k]);
}
void push(int k) {
all_apply(2 * k, lz[k]);
all_apply(2 * k + 1, lz[k]);
lz[k] = id();
}
};
} // namespace atcoder
#endif // ATCODER_LAZYSEGTREE_HPP
// end atcoder/lazysegtree.hpp
// restart A.cpp
// start tree/HLD.hpp
struct HLD {
int n, path;
vector<vector<int>> edges;
vector<int> siz;
vector<int> par;
vector<int> depth;
vector<int> path_ind;
vector<int> path_root;
vector<int> heavy_child;
vector<bool> isheavy;
vector<int> L;
vector<int> R;
HLD(int n) : n(n) {
edges.resize(n);
siz.assign(n, -1);
par.assign(n, -1);
depth.assign(n, -1);
path_ind.assign(n, -1);
heavy_child.assign(n, -1);
isheavy.assign(n, false);
L.assign(n, -1);
R.assign(n, -1);
}
void read_edges(int indexed = 1) {
int u, v;
for (int i = 0; i < n - 1; i++) {
cin >> u >> v;
u -= indexed;
v -= indexed;
edges[u].push_back(v);
edges[v].push_back(u);
}
}
void add_edge(int u, int v) {
edges[u].push_back(v);
edges[v].push_back(u);
}
void build(int root = 0) {
depth[root] = 0;
stack<int> st;
vector<int> route;
st.push(root);
route.push_back(root);
while (!st.empty()) {
int pos = st.top();
st.pop();
for (auto npos : edges[pos]) {
if (depth[npos] == -1) {
depth[npos] = depth[pos] + 1;
par[npos] = pos;
st.push(npos);
route.push_back(npos);
}
}
}
reverse(route.begin(), route.end());
for (auto pos : route) {
siz[pos] = 1;
int ma = -1;
for (auto npos : edges[pos]) {
if (depth[npos] > depth[pos]) siz[pos] += siz[npos];
if (siz[npos] > ma) {
ma = siz[npos];
heavy_child[pos] = npos;
}
}
if (heavy_child[pos] != -1) isheavy[heavy_child[pos]] = true;
}
isheavy[root] = true;
path = 0;
st.push(~root);
st.push(root);
path_root.push_back(root);
int cc = 0;
while (!st.empty()) {
int pos = st.top();
st.pop();
if (pos >= 0) {
L[pos] = cc++;
if (!isheavy[pos]) {
path++;
path_root.push_back(pos);
}
path_ind[pos] = path;
for (auto npos : edges[pos]) {
if (npos == par[pos] || npos == heavy_child[pos]) continue;
st.push(~npos);
st.push(npos);
}
if (heavy_child[pos] != -1) {
int npos = heavy_child[pos];
st.push(~npos);
st.push(npos);
}
} else {
pos = ~pos;
R[pos] = cc;
}
}
}
vector<pair<int, int>> get_path(int u, int v) {
vector<int> ll;
vector<int> rr;
ll.push_back(u);
rr.push_back(v);
while (path_ind[u] != path_ind[v]) {
if (depth[path_root[path_ind[u]]] >= depth[path_root[path_ind[v]]]) {
u = path_root[path_ind[u]];
ll.push_back(u);
u = par[u];
ll.push_back(u);
} else {
v = path_root[path_ind[v]];
rr.push_back(v);
v = par[v];
rr.push_back(v);
}
}
reverse(rr.begin(), rr.end());
ll.insert(ll.end(), rr.begin(), rr.end());
int n = ll.size();
vector<pair<int, int>> res(n / 2);
for (int i = 0; i < n; i += 2) {
res[i / 2] = {ll[i], ll[i + 1]};
}
return res;
}
int lca(int u, int v) {
while (path_ind[u] != path_ind[v]) {
if (depth[path_root[path_ind[u]]] >= depth[path_root[path_ind[v]]])
u = par[path_root[path_ind[u]]];
else
v = par[path_root[path_ind[v]]];
}
return (depth[u] <= depth[v]) ? u : v;
}
int dist(int u, int v) {
int p = lca(u, v);
return depth[u] + depth[v] - 2 * depth[p];
}
template <typename T>
vector<T> reorder(vector<T> &A, bool rev = false) {
assert(n == A.size());
vector<T> ret(n);
for (int i = 0; i < n; i++) {
ret[L[i]] = A[i];
}
if (rev) reverse(ret.begin(), ret.end());
return ret;
}
};
// end tree/HLD.hpp
// restart A.cpp
const ll inf = 1LL << 60;
ll op(ll l, ll r) {
return l < r ? l : r;
}
ll e() {
return inf;
}
ll mapping(ll f, ll x) {
return f + x;
}
ll composition(ll f, ll g) {
return f + g;
}
ll id() {
return 0;
}
void solve() {
INT(n);
STRING(S);
int g = 0;
int b = 0;
for (auto s : S) {
if (s == 'G')
g++;
else
b++;
}
if (g > b) {
swap(g, b);
fori(i, n) {
S[i] = S[i] ^ 'B' ^ 'G';
}
}
VVEC(ll, E, n - 1, 3);
using P = pair<int, ll>;
vvec(P, edges, n);
for (auto &tmp : E) {
tmp[0]--;
tmp[1]--;
edges[tmp[0]].emplace_back(tmp[1], tmp[2]);
edges[tmp[1]].emplace_back(tmp[0], tmp[2]);
}
int cent = -1;
vec(int, siz, n, 1);
vec(int, gc, n, 0);
auto dfs = [&](auto &&self, int pos, int bpos) -> void {
bool ok = true;
siz[pos] = 1;
gc[pos] = 0;
if (S[pos] == 'G') gc[pos]++;
for (auto [npos, _] : edges[pos]) {
if (npos == bpos) continue;
self(self, npos, pos);
siz[pos] += siz[npos];
gc[pos] += gc[npos];
if (siz[npos] * 2 > n) ok = false;
}
if ((n - siz[pos]) * 2 > n) ok = false;
if (ok) cent = pos;
};
dfs(dfs, 0, -1);
HLD hld(n);
for (auto tmp : E) hld.add_edge(tmp[0], tmp[1]);
int cc = cent;
hld.build(cent);
dfs(dfs, cent, -1);
cent = cc;
vec(ll, ini, n, 0);
fori(i, n) {
if (siz[i] != g) ini[hld.L[i]] = inf;
}
atcoder::lazy_segtree<ll, op, e, ll, mapping, composition, id> seg(ini);
vec(int, upp, n, -1);
stack<int> st;
st.push(cent);
upp[cent] = cent;
while (!st.empty()) {
int pos = st.top();
st.pop();
for (auto [npos, _] : edges[pos]) {
if (upp[npos] == -1) {
upp[npos] = upp[pos];
if (siz[pos] > g) upp[npos] = npos;
st.push(npos);
}
}
}
auto add = [&](int u, int v, ll w) {
if (hld.depth[u] < hld.depth[v]) swap(u, v);
ll x = w * gc[u];
seg.apply(0, n, x);
x *= -1;
x += w * min(g - gc[u], siz[u] - gc[u]);
u = upp[u];
seg.apply(hld.L[u], hld.R[u], x);
};
for (auto tmp : E) {
add(tmp[0], tmp[1], tmp[2]);
}
INT(Q);
fori(Q) {
LL(e, a);
e--;
add(E[e][0], E[e][1], a);
print(seg.all_prod());
}
}
int main() {
cin.tie(0)->sync_with_stdio(0);
// cout << fixed << setprecision(12);
int t;
t = 1;
// cin >> t;
while (t--) solve();
return 0;
}
// end A.cpp