| # |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
| 335447 |
2020-12-12T16:34:48 Z |
12tqian |
Valley (BOI19_valley) |
C++17 |
|
1629 ms |
61280 KB |
#pragma GCC optimize ("O3")
#pragma GCC target ("sse4")
#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <chrono>
#include <cmath>
#include <complex>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <ctime>
#include <deque>
#include <iostream>
#include <iomanip>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <string>
#include <unordered_map>
#include <vector>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
using namespace __gnu_pbds;
template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag,tree_order_statistics_node_update>;
typedef long long ll;
typedef long double ld;
typedef double db;
typedef string str;
typedef pair<int, int> pi;
typedef pair<ll, ll> pl;
typedef pair<db, db> pd;
typedef vector<int> vi;
typedef vector<bool> vb;
typedef vector<ll> vl;
typedef vector<db> vd;
typedef vector<str> vs;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<pd> vpd;
#define mp make_pair
#define f first
#define s second
#define sz(x) (int) (x).size()
#define all(x) begin(x), end(x)
#define rall(x) (x).rbegin(), (x).rend()
#define sor(x) sort(all(x))
#define rsz resize
#define resz resize
#define ins insert
#define ft front()
#define bk back()
#define pf push_front
#define pb push_back
#define eb emplace_back
#define lb lower_bound
#define ub upper_bound
#define f1r(i, a, b) for(int i = (a); i < (b); ++i)
#define f0r(i, a) f1r(i, 0, a)
#define FOR(i, a, b) for (int i = (a); i < (b); ++i)
#define F0R(i, a) FOR(i,0,a)
#define ROF(i, a, b) for (int i = (b) - 1; i >= (a); --i)
#define R0F(i, a) ROF(i, 0, a)
#define trav(a, x) for (auto& a : x)
mt19937 rng((uint32_t) chrono::steady_clock::now().time_since_epoch().count());
template<class T> bool ckmin(T& a, const T& b) { return b < a ? a = b, 1 : 0; }
template<class T> bool ckmax(T& a, const T& b) { return a < b ? a = b, 1 : 0; }
template<class T> using V = vector<T>;
#ifdef LOCAL
#define dbg(...) debug(#__VA_ARGS__, __VA_ARGS__);
#else
#define dbg(...) 17;
#endif
template<typename T, typename S> ostream& operator << (ostream &os, const pair<T, S> &p) { return os << "(" << p.first << ", " << p.second << ")"; }
template<typename C, typename T = decay<decltype(*begin(declval<C>()))>, typename enable_if<!is_same<C, string>::value>::type* = nullptr>
ostream& operator << (ostream &os, const C &c) { bool f = true; os << "{"; for (const auto &x : c) { if (!f) os << ", "; f = false; os << x; } return os << "}"; }
template<typename T> void debug(string s, T x) { cerr << s << " = " << x << "\n"; }
template<typename T, typename... Args> void debug(string s, T x, Args... args) { cerr << s.substr(0, s.find(',')) << " = " << x << " | "; debug(s.substr(s.find(',') + 2), args...); }
constexpr int pct(int x) { return __builtin_popcount(x); }
constexpr int bits(int x) { return 31 - __builtin_clz(x); } // floor(log2(x))
namespace input {
template<class T> void re(complex<T>& x);
template<class T1, class T2> void re(pair<T1, T2>& p);
template<class T> void re(vector<T>& a);
template<class T, int SZ> void re(array<T, SZ>& a);
template<class T> void re(T& x) { cin >> x; }
void re(double& x) { string t; re(t); x = stod(t); }
void re(ld& x) { string t; re(t); x = stold(t); }
template<class T, class... Ts> void re(T& t, Ts&... ts) {
re(t); re(ts...); }
template<class T> void re(complex<T>& x) { T a, b; re(a, b); x = cd(a, b); }
template<class T1, class T2> void re(pair<T1, T2>& p) { re(p.f, p.s); }
template<class T> void re(vector<T>& a) { F0R(i, sz(a)) re(a[i]); }
template<class T, int SZ> void re(array<T, SZ>& a) { F0R(i, SZ) re(a[i]); }
}
using namespace input;
namespace output {
void pr(int x) { cout << x; }
void pr(long x) { cout << x; }
void pr(ll x) { cout << x; }
void pr(unsigned x) { cout << x; }
void pr(unsigned long x) { cout << x; }
void pr(unsigned long long x) { cout << x; }
void pr(float x) { cout << x; }
void pr(double x) { cout << x; }
void pr(ld x) { cout << x; }
void pr(char x) { cout << x; }
void pr(const char* x) { cout << x; }
void pr(const string& x) { cout << x; }
void pr(bool x) { pr(x ? "true" : "false"); }
template<class T> void pr(const complex<T>& x) { cout << x; }
template<class T1, class T2> void pr(const pair<T1, T2>& x);
template<class T> void pr(const T& x);
template<class T, class... Ts> void pr(const T& t, const Ts&... ts) {
pr(t); pr(ts...); }
template<class T1, class T2> void pr(const pair<T1,T2>& x) {
pr("{", x.f, ", ", x.s, "}"); }
template<class T> void pr(const T& x) {
pr("{"); // const iterator needed for vector<bool>
bool fst = 1; for (const auto& a: x) pr(!fst ? ", " : "", a), fst = 0;
pr("}"); }
void ps() { pr("\n"); } // print w/ spaces
template<class T, class... Ts> void ps(const T& t, const Ts&... ts) {
pr(t); if (sizeof...(ts)) pr(" "); ps(ts...); }
void pc() { pr("]\n"); } // debug w/ commas
template<class T, class... Ts> void pc(const T& t, const Ts&... ts) {
pr(t); if (sizeof...(ts)) pr(", "); pc(ts...); }
}
using namespace output;
namespace io {
void setIn(string s) { freopen(s.c_str(), "r", stdin); }
void setOut(string s) { freopen(s.c_str(), "w", stdout); }
void setIO(string s = "") {
cin.sync_with_stdio(0); cin.tie(0);
if (sz(s)) { setIn(s + ".in"), setOut(s + ".out"); }
}
}
using namespace io;
const int MOD = 1e9 + 7; // 998244353;
const ld PI = acos((ld) -1);
typedef std::decay <decltype(MOD)>::type mod_t;
struct mi {
mod_t val;
explicit operator mod_t() const { return val; }
mi() { val = 0; }
mi(const long long& v) {
val = (-MOD <= v && v <= MOD) ? v : v % MOD;
if (val < 0) val += MOD; }
friend std::istream& operator >> (std::istream& in, mi& a) {
long long x; std::cin >> x; a = mi(x); return in; }
friend std::ostream& operator << (std::ostream& os, const mi& a) { return os << a.val; }
friend bool operator == (const mi& a, const mi& b) { return a.val == b.val; }
friend bool operator != (const mi& a, const mi& b) { return !(a == b); }
friend bool operator < (const mi& a, const mi& b) { return a.val < b.val; }
friend bool operator > (const mi& a, const mi& b) { return a.val > b.val; }
friend bool operator <= (const mi& a, const mi& b) { return a.val <= b.val; }
friend bool operator >= (const mi& a, const mi& b) { return a.val >= b.val; }
mi operator - () const { return mi(-val); }
mi& operator += (const mi& m) {
if ((val += m.val) >= MOD) val -= MOD;
return *this; }
mi& operator -= (const mi& m) {
if ((val -= m.val) < 0) val += MOD;
return *this; }
mi& operator *= (const mi& m) { val = (long long) val * m.val % MOD;
return *this; }
friend mi pow(mi a, long long p) {
mi ans = 1; assert(p >= 0);
for (; p; p /= 2, a *= a) if (p & 1) ans *= a;
return ans; }
friend mi inv(const mi& a) { assert(a != 0); return pow(a, MOD - 2); }
mi& operator /= (const mi& m) { return (*this) *= inv(m); }
friend mi operator + (mi a, const mi& b) { return a += b; }
friend mi operator - (mi a, const mi& b) { return a -= b; }
friend mi operator * (mi a, const mi& b) { return a *= b; }
friend mi operator / (mi a, const mi& b) { return a /= b; }
};
typedef pair<mi, mi> pmi;
typedef vector<mi> vmi;
typedef vector<pmi> vpmi;
const ll INF = 1e16;
const ll CUT = 1e14 + 1;
template <class T> struct LazySeg {
std::vector<T> mn, lazy;
int sz;
void init(int sz_) {
sz = 1;
while (sz < sz_) sz *= 2;
mn.assign(2 * sz, 0);
lazy.assign(2 * sz, 0);
}
void push(int ind, int L, int R) {
mn[ind] += lazy[ind];
if (L != R) {
lazy[2 * ind] += lazy[ind];
lazy[2 * ind + 1] += lazy[ind];
}
lazy[ind] = 0;
}
void pull(int ind) {
mn[ind] = min(mn[2 * ind], mn[2 * ind + 1]);
}
void build() {
for (int i = sz - 1; i >= 1; i--) {
pull(i);
}
}
void upd(int lo, int hi, T inc, int ind = 1, int L = 0, int R = -1) {
if (R == -1) R += sz;
push(ind, L, R);
if (hi < L || R < lo) return ;
if (lo <= L && R <= hi) {
lazy[ind] = inc;
push(ind, L, R);
return;
}
int M = (L + R) / 2;
upd(lo, hi, inc, 2 * ind, L, M);
upd(lo, hi, inc, 2 * ind + 1, M + 1, R);
pull(ind);
}
T qmin(int lo, int hi, int ind = 1, int L = 0, int R = -1) {
if (R == -1) R += sz;
push(ind, L, R);
if (lo > R || L > hi) return INF;
if (lo <= L && R <= hi) return mn[ind];
int M = (L + R) / 2;
return min(qmin(lo, hi, 2 * ind, L, M), qmin(lo, hi, 2 * ind + 1, M + 1, R));
}
};
struct LCAJump {
int n;
std::vector<std::vector<int>> par;
std::vector<std::vector<int>> adj;
std::vector<int> depth;
void init(int _n) {
n = _n;
int d = 1;
while ((1 << d) < n) d++;
par.assign(d, std::vector<int>(n));
adj.resize(n);
depth.resize(n);
}
void ae(int x, int y) {
adj[x].push_back(y);
adj[y].push_back(x);
}
void gen(int root = 0) {
par[0][root] = root;
dfs(root);
}
void dfs(int src = 0) {
for (int i = 1; i < (int) par.size(); i++) {
par[i][src] = par[i - 1][par[i - 1][src]];
}
for (int nxt: adj[src]) {
if (nxt == par[0][src]) continue;
depth[nxt] = depth[par[0][nxt] = src] + 1;
dfs(nxt);
}
}
int jump(int x, int d) {
for (int i = 0; i < (int) par.size(); i++) {
if ((d >> i) & 1) {
x = par[i][x];
}
}
return x;
}
int lca(int x, int y) {
if (depth[x] < depth[y]) std::swap(x, y);
x = jump(x, depth[x] - depth[y]);
if (x == y) return x;
for (int i = (int) par.size() - 1; i >= 0; i--) {
int nx = par[i][x];
int ny = par[i][y];
if (nx != ny) x = nx, y = ny;
}
return par[0][x];
}
bool in_subtree(int u, int v) {
// is v in the subtree of u
if (depth[u] > depth[v]) return false;
int need = depth[v] - depth[u];
int x = jump(v, need);
if (x == u) return true;
return false;
}
};
int main() {
int n, s, e, q; cin >> n >> s >> q >> e;
e--;
LCAJump L;
L.init(n);
vector<vpl> adj(n);
vpi roads;
vi shop(n);
f0r(i, n - 1) {
int u, v, w; cin >> u >> v >> w;
u--, v--;
adj[u].eb(v, w);
adj[v].eb(u, w);
L.ae(u, v);
roads.eb(u, v);
}
f0r(i, s) {
int x; re(x); x--;
shop[x] = 1;
}
int ti = 0;
vector<array<int, 2>> range(n);
vl dep(n);
function<void(int, int)> euler_tour = [&](int src, int par) {
range[src][0] = ti++;
for (auto nxt : adj[src]) {
if (nxt.f == par) continue;
dep[nxt.f] = dep[src] + nxt.s;
euler_tour(nxt.f, src);
}
range[src][1] = ti-1;
};
L.gen(0);
euler_tour(0, -1);
LazySeg<ll> seg;
seg.init(n);
LazySeg<ll> seg2;
seg2.init(n);
f0r(i, n) {
if (shop[i])
seg.upd(range[i][0], range[i][0], dep[i]);
else
seg.upd(range[i][0], range[i][0], INF);
seg2.upd(range[i][0], range[i][0], dep[i]);
}
vl ans(q);
vl close(q);
vl escape(q);
vector<vpi> queries(n);
vector<array<int, 3>> queries2;
f0r(i, q) {
int road, village;
re(road, village);
road--, village--;
queries[village].eb(road, i);
queries2.pb({road, village, i});
}
auto sub_update = [&](int src, ll val) {
seg.upd(range[src][0], range[src][1], val);
};
auto sub_update2 = [&](int src, ll val) {
seg2.upd(range[src][0], range[src][1], val);
};
auto ask = [&](int src) -> ll {
return seg.qmin(range[src][0], range[src][1]);
};
auto print = [&]() {
pr("SEG: ");
f0r(i, n) pr(seg.qmin(range[i][0], range[i][0]), " ");
ps();
};
function<void(int, int)> reroot = [&](int src, int par) {
// answer close queries here
for (auto& qq : queries[src]) {
int qid = qq.s;
int rid = qq.f;
int u = roads[rid].f;
int v = roads[rid].s;
if (dep[u] > dep[v]) swap(u, v);
// u is parent of v
// want to see closest of shops to src
// case one, shop is below
if (L.in_subtree(v, src)) {
// everything else above is blocked
sub_update(0, INF);
sub_update(v, -INF);
close[qid] = ask(v);
sub_update(0, -INF);
sub_update(v, INF);
} else {
// everthing in v is blocked
sub_update(v, INF);
close[qid] = ask(0);
sub_update(v, -INF);
}
}
// answer can escape queries
if (src == e) {
// you are at the escape point
for (auto& qq : queries2) {
int qid = qq[2];
int rid = qq[0];
int vid = qq[1];
int u = roads[rid].f;
int v = roads[rid].s;
if (dep[u] > dep[v]) swap(u, v);
if (L.in_subtree(v, src)) {
// everything else above is blocked
sub_update2(0, INF);
sub_update2(v, -INF);
escape[qid] = seg2.qmin(range[vid][0], range[vid][0]);
sub_update2(0, -INF);
sub_update2(v, INF);
} else {
// everthing in v is blocked
sub_update2(v, INF);
escape[qid] = seg2.qmin(range[vid][0], range[vid][0]);
sub_update2(v, -INF);
}
}
}
for (auto go : adj[src]) {
int nxt = go.f;
if (nxt == par) continue;
int w = go.s;
sub_update(0, w);
sub_update(nxt, -2*w);
sub_update2(0, w);
sub_update2(nxt, -2*w);
reroot(nxt, src);
sub_update(0, -w);
sub_update(nxt, 2*w);
sub_update2(0, -w);
sub_update2(nxt, 2*w);
}
};
reroot(0, -1);
f0r(i, q) {
if (escape[i] < CUT) {
ps("escaped");
} else {
if (close[i] < CUT) {
ps(close[i]);
} else {
ps("oo");
}
}
}
}
Compilation message
valley.cpp: In function 'int main()':
valley.cpp:395:10: warning: variable 'print' set but not used [-Wunused-but-set-variable]
395 | auto print = [&]() {
| ^~~~~
valley.cpp: In function 'void io::setIn(std::string)':
valley.cpp:153:35: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
153 | void setIn(string s) { freopen(s.c_str(), "r", stdin); }
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~
valley.cpp: In function 'void io::setOut(std::string)':
valley.cpp:154:36: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
154 | void setOut(string s) { freopen(s.c_str(), "w", stdout); }
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
16 ms |
1004 KB |
Output is correct |
| 2 |
Correct |
17 ms |
1132 KB |
Output is correct |
| 3 |
Correct |
17 ms |
1132 KB |
Output is correct |
| 4 |
Correct |
17 ms |
1132 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
16 ms |
1004 KB |
Output is correct |
| 2 |
Correct |
17 ms |
1132 KB |
Output is correct |
| 3 |
Correct |
17 ms |
1132 KB |
Output is correct |
| 4 |
Correct |
17 ms |
1132 KB |
Output is correct |
| 5 |
Correct |
6 ms |
748 KB |
Output is correct |
| 6 |
Correct |
8 ms |
748 KB |
Output is correct |
| 7 |
Correct |
6 ms |
748 KB |
Output is correct |
| 8 |
Correct |
6 ms |
748 KB |
Output is correct |
| 9 |
Correct |
6 ms |
748 KB |
Output is correct |
| 10 |
Correct |
7 ms |
748 KB |
Output is correct |
| 11 |
Correct |
6 ms |
748 KB |
Output is correct |
| 12 |
Correct |
6 ms |
896 KB |
Output is correct |
| 13 |
Correct |
6 ms |
748 KB |
Output is correct |
| 14 |
Correct |
6 ms |
748 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1249 ms |
40572 KB |
Output is correct |
| 2 |
Correct |
1305 ms |
43800 KB |
Output is correct |
| 3 |
Correct |
1284 ms |
43868 KB |
Output is correct |
| 4 |
Correct |
1439 ms |
49612 KB |
Output is correct |
| 5 |
Correct |
1341 ms |
47848 KB |
Output is correct |
| 6 |
Correct |
1629 ms |
61280 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
16 ms |
1004 KB |
Output is correct |
| 2 |
Correct |
17 ms |
1132 KB |
Output is correct |
| 3 |
Correct |
17 ms |
1132 KB |
Output is correct |
| 4 |
Correct |
17 ms |
1132 KB |
Output is correct |
| 5 |
Correct |
6 ms |
748 KB |
Output is correct |
| 6 |
Correct |
8 ms |
748 KB |
Output is correct |
| 7 |
Correct |
6 ms |
748 KB |
Output is correct |
| 8 |
Correct |
6 ms |
748 KB |
Output is correct |
| 9 |
Correct |
6 ms |
748 KB |
Output is correct |
| 10 |
Correct |
7 ms |
748 KB |
Output is correct |
| 11 |
Correct |
6 ms |
748 KB |
Output is correct |
| 12 |
Correct |
6 ms |
896 KB |
Output is correct |
| 13 |
Correct |
6 ms |
748 KB |
Output is correct |
| 14 |
Correct |
6 ms |
748 KB |
Output is correct |
| 15 |
Correct |
1249 ms |
40572 KB |
Output is correct |
| 16 |
Correct |
1305 ms |
43800 KB |
Output is correct |
| 17 |
Correct |
1284 ms |
43868 KB |
Output is correct |
| 18 |
Correct |
1439 ms |
49612 KB |
Output is correct |
| 19 |
Correct |
1341 ms |
47848 KB |
Output is correct |
| 20 |
Correct |
1629 ms |
61280 KB |
Output is correct |
| 21 |
Correct |
1183 ms |
43756 KB |
Output is correct |
| 22 |
Correct |
1246 ms |
43232 KB |
Output is correct |
| 23 |
Correct |
1251 ms |
43344 KB |
Output is correct |
| 24 |
Correct |
1415 ms |
47344 KB |
Output is correct |
| 25 |
Correct |
1389 ms |
56844 KB |
Output is correct |
| 26 |
Correct |
1195 ms |
43656 KB |
Output is correct |
| 27 |
Correct |
1222 ms |
43356 KB |
Output is correct |
| 28 |
Correct |
1262 ms |
43364 KB |
Output is correct |
| 29 |
Correct |
1374 ms |
48624 KB |
Output is correct |
| 30 |
Correct |
1436 ms |
53340 KB |
Output is correct |
| 31 |
Correct |
1167 ms |
43880 KB |
Output is correct |
| 32 |
Correct |
1200 ms |
43356 KB |
Output is correct |
| 33 |
Correct |
1247 ms |
43428 KB |
Output is correct |
| 34 |
Correct |
1366 ms |
47640 KB |
Output is correct |
| 35 |
Correct |
1350 ms |
55004 KB |
Output is correct |
| 36 |
Correct |
1309 ms |
48988 KB |
Output is correct |
