oj.uz

답안 #943432

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
943432 2024-03-11T13:09:45 Z marvinthang Arboras (RMI20_arboras) C++17
100 / 100
 132 ms 19280 KB 
/*************************************
*    author: marvinthang             *
*    created: 11.03.2024 18:56:24    *
*************************************/

#include <bits/stdc++.h>

using namespace std;

#define                  fi  first
#define                  se  second
#define                left  ___left
#define               right  ___right
#define                TIME  (1.0 * clock() / CLOCKS_PER_SEC)
#define             MASK(i)  (1LL << (i))
#define           BIT(x, i)  ((x) >> (i) & 1)
#define  __builtin_popcount  __builtin_popcountll
#define              ALL(v)  (v).begin(), (v).end()
#define           REP(i, n)  for (int i = 0, _n = (n); i < _n; ++i)
#define          REPD(i, n)  for (int i = (n); i-- > 0; )
#define        FOR(i, a, b)  for (int i = (a), _b = (b); i < _b; ++i) 
#define       FORD(i, b, a)  for (int i = (b), _a = (a); --i >= _a; ) 
#define       FORE(i, a, b)  for (int i = (a), _b = (b); i <= _b; ++i) 
#define      FORDE(i, b, a)  for (int i = (b), _a = (a); i >= _a; --i) 
#define        scan_op(...)  istream & operator >> (istream &in, __VA_ARGS__ &u)
#define       print_op(...)  ostream & operator << (ostream &out, const __VA_ARGS__ &u)
#ifdef LOCAL
    #include "debug.h"
#else
    #define file(name) if (fopen(name".inp", "r")) { freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); }
    #define DB(...) 23
    #define db(...) 23
    #define debug(...) 23
#endif

template <class U, class V> scan_op(pair <U, V>)  { return in >> u.first >> u.second; }
template <class T> scan_op(vector <T>)  { for (size_t i = 0; i < u.size(); ++i) in >> u[i]; return in; }
template <class U, class V> print_op(pair <U, V>)  { return out << '(' << u.first << ", " << u.second << ')'; }
template <size_t i, class T> ostream & print_tuple_utils(ostream &out, const T &tup) { if constexpr(i == tuple_size<T>::value) return out << ")";  else return print_tuple_utils<i + 1, T>(out << (i ? ", " : "(") << get<i>(tup), tup); }
template <class ...U> print_op(tuple<U...>) { return print_tuple_utils<0, tuple<U...>>(out, u); }
template <class Con, class = decltype(begin(declval<Con>()))> typename enable_if <!is_same<Con, string>::value, ostream&>::type operator << (ostream &out, const Con &con) { out << '{'; for (__typeof(con.begin()) it = con.begin(); it != con.end(); ++it) out << (it == con.begin() ? "" : ", ") << *it; return out << '}'; }
template <class A, class B> bool minimize(A &a, B b)  { return a > b ? a = b, true : false; }
template <class A, class B> bool maximize(A &a, B b)  { return a < b ? a = b, true : false; }

// end of template

const int MOD = 1e9 + 7;

void process(void) {
	int n; cin >> n;
	vector <int> par(n);
	vector <long long> lengths(n);
	vector <vector <int>> adj(n);
	FOR(i, 1, n) {
		cin >> par[i];
		adj[par[i]].push_back(i);
	}
	FOR(i, 1, n) cin >> lengths[i];
	vector <int> tin(n), tout(n), depth(n), val(n), pos(n);
	long long res = 0;
	function<pair <long long, int>(int)> dfs = [&] (int u) {
		static int t = 0;
		val[t] = u;
		tin[u] = t++;
		pair <long long, int> cur(lengths[u], u);
		long long se = lengths[u];
		for (int v: adj[u]) {
			lengths[v] += lengths[u];
			depth[v] = depth[u] + 1;
			pair <long long, int> val = dfs(v);
			if (cur < val) {
				se = cur.fi;
				cur = val;
			} else maximize(se, val.fi);
		}
		res += cur.fi + se - 2 * lengths[u];
		tout[u] = t;
		pos[cur.se] = u;
		return cur;
	};
	dfs(0);
	vector <pair <long long, int>> st(n + n);
	vector <long long> lazy(n);
	int h = __lg(n + n - 1);
	REP(i, n) st[i + n] = pair{lengths[val[i]], val[i]};
	FORD(i, n, 1) st[i] = max(st[i << 1], st[i << 1 | 1]);
	auto apply = [&] (int i, long long val) {
		st[i].fi += val;
		if (i < n) lazy[i] += val;
	};
	auto pushUp = [&] (int i) {
		while (i >>= 1) {
			st[i] = max(st[i << 1], st[i << 1 | 1]);
			st[i].fi += lazy[i];
		}
	};
	auto pushDown = [&] (int p) {
		FORD(s, h, 1) {
			int i = p >> s;
			if (lazy[i]) {
				apply(i << 1, lazy[i]);
				apply(i << 1 | 1, lazy[i]);
				lazy[i] = 0;
			}
		}
	};
	auto update = [&] (int l0, int r0, int val) {
		l0 += n; r0 += n;
		for (int l = l0, r = r0; l < r; l >>= 1, r >>= 1) {
			if (l & 1) apply(l++, val);
			if (r & 1) apply(--r, val);
		}
		pushUp(l0);	pushUp(r0 - 1);
	};
	auto getMax = [&] (int l, int r) {
		l += n; r += n;
		pushDown(l); pushDown(r - 1);
		pair <long long, int> res(0, -1);
		for (; l < r; l >>= 1, r >>= 1) {
			if (l & 1) maximize(res, st[l++]);
			if (r & 1) maximize(res, st[--r]);
		}
		return res;
	};
	int q; cin >> q;
	res %= MOD;
	cout << res << '\n';
	while (q--) {
		int u, add; cin >> u >> add;
		pair <long long, int> cur = getMax(tin[u], tout[u]);
		cur.fi += add;
		int p = pos[cur.se];
		res += 1LL * (depth[u] - depth[p]) * add;
		while (p) {
			pair <long long, int> fip = getMax(tin[par[p]], tout[par[p]]);
			int child = *prev(partition_point(ALL(adj[par[p]]), [&] (int x) { return tin[x] <= tin[fip.se]; }));
			pair <long long, int> sep = max(getMax(tin[par[p]], tin[child]), getMax(tout[child], tout[par[p]]));
			if (cur > fip) {
				int w = pos[fip.se];
				res += 1LL * (depth[p] - depth[w]) * (cur.fi - fip.fi) + fip.fi - sep.fi;
				pos[fip.se] = child;
				p = w;
			} else {
				if (cur > sep) res += cur.fi - sep.fi;
				break;
			}
		}
		pos[cur.se] = p;
		update(tin[u], tout[u], add);
		res %= MOD;
		if (res < 0) res += MOD;
		cout << res << '\n';
	}
}

int main(void) {
	ios_base::sync_with_stdio(false); cin.tie(nullptr); // cout.tie(nullptr);
	file("arboras");
	// int t; cin >> t; while (t--)
	process();
	// cerr << "Time elapsed: " << TIME << " s.\n";
	return (0^0);
}

Compilation message

arboras.cpp: In function 'int main()':
arboras.cpp:30:61: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   30 |     #define file(name) if (fopen(name".inp", "r")) { freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); }
      |                                                      ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
arboras.cpp:158:2: note: in expansion of macro 'file'
  158 |  file("arboras");
      |  ^~~~
arboras.cpp:30:94: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   30 |     #define file(name) if (fopen(name".inp", "r")) { freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); }
      |                                                                                       ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
arboras.cpp:158:2: note: in expansion of macro 'file'
  158 |  file("arboras");
      |  ^~~~

Subtask #1
11.0 / 11.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 1 ms 348 KB Output is correct

Subtask #2
13.0 / 13.0

# 결과 실행 시간 메모리 Grader output
1 Correct 132 ms 12400 KB Output is correct
2 Correct 99 ms 11216 KB Output is correct
3 Correct 82 ms 11424 KB Output is correct

Subtask #3
31.0 / 31.0

# 결과 실행 시간 메모리 Grader output
1 Correct 105 ms 14760 KB Output is correct
2 Correct 86 ms 18264 KB Output is correct
3 Correct 97 ms 12504 KB Output is correct

Subtask #4
45.0 / 45.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 604 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 132 ms 12400 KB Output is correct
5 Correct 99 ms 11216 KB Output is correct
6 Correct 82 ms 11424 KB Output is correct
7 Correct 105 ms 14760 KB Output is correct
8 Correct 86 ms 18264 KB Output is correct
9 Correct 97 ms 12504 KB Output is correct
10 Correct 108 ms 14812 KB Output is correct
11 Correct 85 ms 18180 KB Output is correct
12 Correct 107 ms 12840 KB Output is correct
13 Correct 75 ms 18256 KB Output is correct
14 Correct 71 ms 19280 KB Output is correct