Submission #244176

# Submission time Handle Problem Language Result Execution time Memory
244176 2020-07-02T17:35:33 Z Benq Synchronization (JOI13_synchronization) C++14
100 / 100
1219 ms 61816 KB
#include <bits/stdc++.h>
using namespace std;
 
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<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 rsz 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 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)

const int MOD = 1e9+7; // 998244353;
const int MX = 1e5+5; 
const ll INF = 1e18; 
const ld PI = acos((ld)-1);
const int xd[4] = {1,0,-1,0}, yd[4] = {0,1,0,-1}; 
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; } 
constexpr int pct(int x) { return __builtin_popcount(x); } 
constexpr int bits(int x) { return 31-__builtin_clz(x); } // floor(log2(x)) 
constexpr int cdiv(int a, int b) { return a/b+!(a<0||a%b == 0); } // division of a by b rounded up, assumes b > 0 
int fstTrue(function<bool(int)> f, int lo, int hi) {
	hi ++; assert(lo <= hi); // assuming f is increasing
	while (lo < hi) { // find first index such that f is true 
		int mid = (lo+hi)/2; 
		f(mid) ? hi = mid : lo = mid+1; 
	} 
	return lo;
}
template<class T> void remDup(vector<T>& v) { 
	sort(all(v)); v.erase(unique(all(v)),end(v)); }

// INPUT
template<class A> void re(complex<A>& c);
template<class A, class B> void re(pair<A,B>& p);
template<class A> void re(vector<A>& v);
template<class A, size_t SZ> void re(array<A,SZ>& a);

template<class T> void re(T& x) { cin >> x; }
void re(db& d) { str t; re(t); d = stod(t); }
void re(ld& d) { str t; re(t); d = stold(t); }
template<class H, class... T> void re(H& h, T&... t) { re(h); re(t...); }

template<class A> void re(complex<A>& c) { A a,b; re(a,b); c = {a,b}; }
template<class A, class B> void re(pair<A,B>& p) { re(p.f,p.s); }
template<class A> void re(vector<A>& x) { trav(a,x) re(a); }
template<class A, size_t SZ> void re(array<A,SZ>& x) { trav(a,x) re(a); }

// TO_STRING
#define ts to_string
str ts(char c) { return str(1,c); }
str ts(bool b) { return b ? "true" : "false"; }
str ts(const char* s) { return (str)s; }
str ts(str s) { return s; }
template<class A> str ts(complex<A> c) { 
	stringstream ss; ss << c; return ss.str(); }
str ts(vector<bool> v) { 
	str res = "{"; F0R(i,sz(v)) res += char('0'+v[i]);
	res += "}"; return res; }
template<size_t SZ> str ts(bitset<SZ> b) {
	str res = ""; F0R(i,SZ) res += char('0'+b[i]);
	return res; }
template<class A, class B> str ts(pair<A,B> p);
template<class T> str ts(T v) { // containers with begin(), end()
	bool fst = 1; str res = "{";
	for (const auto& x: v) {
		if (!fst) res += ", ";
		fst = 0; res += ts(x);
	}
	res += "}"; return res;
}
template<class A, class B> str ts(pair<A,B> p) {
	return "("+ts(p.f)+", "+ts(p.s)+")"; }

// OUTPUT
template<class A> void pr(A x) { cout << ts(x); }
template<class H, class... T> void pr(const H& h, const T&... t) { 
	pr(h); pr(t...); }
void ps() { pr("\n"); } // print w/ spaces
template<class H, class... T> void ps(const H& h, const T&... t) { 
	pr(h); if (sizeof...(t)) pr(" "); ps(t...); }

// DEBUG
void DBG() { cerr << "]" << endl; }
template<class H, class... T> void DBG(H h, T... t) {
	cerr << ts(h); if (sizeof...(t)) cerr << ", ";
	DBG(t...); }
#ifdef LOCAL // compile with -DLOCAL
#define dbg(...) cerr << "LINE(" << __LINE__ << ") -> [" << #__VA_ARGS__ << "]: [", DBG(__VA_ARGS__)
#else
#define dbg(...) 0
#endif

// FILE I/O
void setIn(string s) { freopen(s.c_str(),"r",stdin); }
void setOut(string s) { freopen(s.c_str(),"w",stdout); }
void unsyncIO() { ios_base::sync_with_stdio(0); cin.tie(0); }
void setIO(string s = "") {
	unsyncIO();
	// cin.exceptions(cin.failbit); 
	// throws exception when do smth illegal
	// ex. try to read letter into int
	if (sz(s)) { setIn(s+".in"), setOut(s+".out"); } // for USACO
}

vpi adj[MX];
int N,M,Q,ans[MX];
vi change[MX];
vpi bad[MX];

bool done[MX]; // processed as centroid yet
int sub[MX],cen[MX]; // subtree size, centroid anc
map<int,list<int>> to[MX], from[MX];
void dfs(int x, int p) { sub[x] = 1; 
	trav(y,adj[x]) if (!done[y.f] && y.f != p) 
		dfs(y.f,x), sub[x] += sub[y.f]; 
}
int centroid(int x) {
	dfs(x,-1); 
	for (int sz = sub[x];;) {
		pi mx = {0,0};
		trav(y,adj[x]) if (!done[y.f] && sub[y.f] < sub[x]) 
			ckmax(mx,{sub[y.f],y.f});
		if (mx.f*2 <= sz) return x; 
		x = mx.s;
	}
}
void ad(list<int>& a, list<int>& b) {
	a.splice(end(a),b); assert(!sz(b));
}
void merge(map<int,list<int>>& a, map<int,list<int>>& b) {
	if (sz(a) < sz(b)) swap(a,b);
	trav(t,b) ad(a[t.f],t.s);
	b.clear();
}

void getAll(list<int>& x, map<int,list<int>>& a, pi p) {
	while (1) {
		auto it = a.ub(p.f);
		if (it == end(a) || it->f >= p.s) break;
		ad(x,it->s); a.erase(it);
	}
}

void oops(int a, int b) {
	//dbg("OOPS",a,b);
	trav(t,adj[a]) if (!done[t.f] && t.f != b) {
		oops(t.f,a);
		trav(z,bad[t.s]) {
			{
				list<int> x; getAll(x,to[t.f],z);
				if (sz(x)) ad(to[t.f][z.f],x);
			}
			{
				list<int> x; getAll(x,from[t.f],z);
				if (sz(x)) ad(from[t.f][z.s],x);
			}
		}
		merge(to[a],to[t.f]), merge(from[a],from[t.f]);
	}
	to[a][M+1].pb(a); from[a][0].pb(a);
}

int comp[MX];

void makeLabel(int a, int b, int cnt) {
	comp[a] = cnt; //dbg("HA",a,cnt);
	trav(t,adj[a]) if (!done[t.f] && t.f != b) makeLabel(t.f,a,cnt);
}

int genLabel(int x) {
	comp[x] = 0; int cnt = 1;
	trav(y,adj[x]) if (!done[y.f]) {
		makeLabel(y.f,x,cnt++);
	}
	return cnt;
}

void gen(int CEN, int _x) { // CEN = centroid above x
	int x = centroid(_x); done[x] = 1; cen[x] = CEN; 
	sub[x] = sub[_x]; 
	//dbg("GEN",x);
	int num = genLabel(x);
	oops(x,-1);
	vi cnt(num);
	vector<pair<int,list<int>>> TO(all(to[x]));
	vector<pair<int,list<int>>> FROM(all(from[x]));
	// dbg("HAHA",sz(FROM),sz(TO));
	// dbg(TO);
	// dbg(FROM);
	int ind = 0, sum = 0;
	trav(t,TO) {
		while (ind < sz(FROM) && FROM[ind].f <= t.f) {
			trav(u,FROM[ind].s) cnt[comp[u]] ++, sum ++;
			ind ++;
		}
		trav(u,t.s) {
			ans[u] += sum;
			if (comp[u]) ans[u] -= cnt[comp[u]];
			//dbg("UH",u,ind,ans[u]);
		}
	}
	to[x].clear(), from[x].clear();
	trav(y,adj[x]) if (!done[y.f]) gen(x,y.f);
}

void init(int _N) { N = _N; FOR(i,1,N+1) done[i] = 0;
	gen(-1,1); } // start at vert 1


int main() {
	setIO(); re(N,M,Q);
	F0R(i,N-1) {
		int X,Y; re(X,Y);
		adj[X].pb({Y,i}), adj[Y].pb({X,i});
	}
	F0R(i,N-1) change[i].pb(-5);
	FOR(i,1,M+1) {
		int D; re(D); D --;
		change[D].pb(i);
	}
	F0R(i,N-1) {
		if (sz(change[i])&1) change[i].pb(M+5);
		for (int j = 0; j < sz(change[i]); j += 2) 
			bad[i].pb({change[i][j],change[i][j+1]});
	}
	F0R(i,N-1) dbg(i,bad[i]);
	init(N);
	F0R(i,Q) {
		int c; re(c);
		ps(ans[c]);
	}
	// you should actually read the stuff at the bottom
}

/* stuff you should look for
	* int overflow, array bounds
	* special cases (n=1?)
	* do smth instead of nothing and stay organized
	* WRITE STUFF DOWN
*/

Compilation message

synchronization.cpp: In function 'int main()':
synchronization.cpp:262:26: warning: statement has no effect [-Wunused-value]
  F0R(i,N-1) dbg(i,bad[i]);
                          ^
synchronization.cpp: In function 'void setIn(std::__cxx11::string)':
synchronization.cpp:130:31: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
 void setIn(string s) { freopen(s.c_str(),"r",stdin); }
                        ~~~~~~~^~~~~~~~~~~~~~~~~~~~~
synchronization.cpp: In function 'void setOut(std::__cxx11::string)':
synchronization.cpp:131:32: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
 void setOut(string s) { freopen(s.c_str(),"w",stdout); }
                         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 15 ms 16768 KB Output is correct
2 Correct 15 ms 16768 KB Output is correct
3 Correct 13 ms 16896 KB Output is correct
4 Correct 14 ms 16768 KB Output is correct
5 Correct 14 ms 16768 KB Output is correct
6 Correct 18 ms 17024 KB Output is correct
7 Correct 76 ms 19456 KB Output is correct
8 Correct 80 ms 19448 KB Output is correct
9 Correct 83 ms 19448 KB Output is correct
10 Correct 1086 ms 43920 KB Output is correct
11 Correct 1145 ms 43896 KB Output is correct
12 Correct 1130 ms 50680 KB Output is correct
13 Correct 407 ms 57576 KB Output is correct
14 Correct 1092 ms 44152 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 660 ms 56576 KB Output is correct
2 Correct 636 ms 57076 KB Output is correct
3 Correct 1006 ms 61816 KB Output is correct
4 Correct 1067 ms 61560 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 15 ms 16768 KB Output is correct
2 Correct 14 ms 16964 KB Output is correct
3 Correct 14 ms 17024 KB Output is correct
4 Correct 14 ms 16768 KB Output is correct
5 Correct 14 ms 16896 KB Output is correct
6 Correct 19 ms 17152 KB Output is correct
7 Correct 93 ms 20216 KB Output is correct
8 Correct 1189 ms 51068 KB Output is correct
9 Correct 1211 ms 51224 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1191 ms 49248 KB Output is correct
2 Correct 1068 ms 61560 KB Output is correct
3 Correct 1018 ms 60920 KB Output is correct
4 Correct 1039 ms 60792 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 14 ms 16768 KB Output is correct
2 Correct 14 ms 16768 KB Output is correct
3 Correct 15 ms 16768 KB Output is correct
4 Correct 14 ms 16768 KB Output is correct
5 Correct 19 ms 17152 KB Output is correct
6 Correct 83 ms 19584 KB Output is correct
7 Correct 1219 ms 44768 KB Output is correct
8 Correct 1205 ms 49272 KB Output is correct
9 Correct 424 ms 56696 KB Output is correct
10 Correct 1068 ms 44704 KB Output is correct
11 Correct 711 ms 57876 KB Output is correct
12 Correct 680 ms 57752 KB Output is correct
13 Correct 1033 ms 61816 KB Output is correct