답안 #205065

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
205065 2020-02-27T20:26:09 Z BorisBarca Lampice (COCI19_lampice) C++14
73 / 110
5000 ms 10360 KB
/*
$$$$$$$\                      $$\           $$$$$$$\
$$  __$$\                     \__|          $$  __$$\
$$ |  $$ | $$$$$$\   $$$$$$\  $$\  $$$$$$$\ $$ |  $$ | $$$$$$\   $$$$$$\   $$$$$$$\ $$$$$$\
$$$$$$$\ |$$  __$$\ $$  __$$\ $$ |$$  _____|$$$$$$$\ | \____$$\ $$  __$$\ $$  _____|\____$$\
$$  __$$\ $$ /  $$ |$$ |  \__|$$ |\$$$$$$\  $$  __$$\  $$$$$$$ |$$ |  \__|$$ /      $$$$$$$ |
$$ |  $$ |$$ |  $$ |$$ |      $$ | \____$$\ $$ |  $$ |$$  __$$ |$$ |      $$ |     $$  __$$ |
$$$$$$$  |\$$$$$$  |$$ |      $$ |$$$$$$$  |$$$$$$$  |\$$$$$$$ |$$ |      \$$$$$$$\\$$$$$$$ |
\_______/  \______/ \__|      \__|\_______/ \_______/  \_______|\__|       \_______|\_______|
*/
#include <bits/stdc++.h>
#pragma GCC target ("avx2")
#pragma GCC optimization ("O3")
#pragma GCC optimization ("unroll-loops")
 
using namespace std;
 
#define PB push_back
#define MP make_pair
#define INS insert
#define LB lower_bound
#define UB upper_bound
#define pii pair <int,int>
#define pll pair <long long, long long>
#define si pair<string, int>
#define is pair<int, string>
#define X first
#define Y second
#define _ << " " <<
#define sz(x) (int)x.size()
#define all(a) (a).begin(),(a).end()
#define FOR(i, a, b) for (int i = (a); i < (b); ++i)
#define FORD(i, a, b) for (int i = (a); i > (b); --i)
#define FORR(i, l, r) for (int i = (l); i <= (r); ++i)
#define FORP(i, a, b) for ((i) = (a); (i) < (b); ++i)
#define FORA(i, x) for (auto &i : x)
#define REP(i, n) FOR(i, 0, n)
#define BITS(x) __builtin_popcount(x)
#define MSET memset
#define MCPY memcpy
#define SQ(a) (a) * (a)
#define TRACE(x) cout << #x " = " << (x) << '\n';
#define YES cout << "YES\n"
#define NO cout << "NO\n"
 
typedef long long ll;
typedef long double ld;
typedef vector <int> vi;
typedef vector <pii> vpi;
typedef vector <ll> vll;
typedef vector <pll> vpl;
typedef vector <double> vd;
typedef vector <ld> vld;
typedef vector<si> vsi;
typedef vector<is> vis;
typedef vector<string> vs;
//((float) t)/CLOCKS_PER_SEC
 
const int MOD = 1e9 + 7;
const double PI = acos(-1);
const int INF = 1e9 + 10;
const ll INFL = 1e18 + 10;
const int ABC = 30;
const int dx[] = {-1, 1, 0, 0};
const int dy[] = {0, 0, -1, 1};
const int dox[] = {-1, 1, 0, 0, -1, -1, 1, 1};
const int doy[] = {0, 0, -1, 1, -1, 1, -1, 1};
 
inline int sum(int a, int b){
	if (a + b < 0)
		return (a + b + MOD) % MOD;
	return (a + b) % MOD;
}
 
inline void add(int &a, int b){
	a = sum(a, b);
}
 
inline int mul(int a, int b){
	return (ll)a * (ll)b % MOD;
}
 
inline int sub(int a, int b){
	return (a - b + MOD) % MOD;
}
 
inline int fast_pot(ll pot, int n){
	ll ret = 1;
	while (n){
		if (n & 1)
			ret = (ret * pot) % MOD;
			pot = (pot * pot) % MOD;
			n >>= 1;
		}
	return ret;
}
 
inline int divide(int a, int b){
	return mul(a, fast_pot(b, MOD - 2));
}
 
ll lcm(ll a, ll b){
	return abs(a * b) / __gcd(a, b);
}
 
inline double ccw(pii A, pii B, pii C){
	return (A.X * B.Y) - (A.Y * B.X) + (B.X * C.Y) - (B.Y * C.X) + (C.X * A.Y) - (C.Y * A.X);
}
 
inline int CCW(pii A, pii B, pii C){
	double val = ccw(A, B, C);
	double eps = max(max(abs(A.X), abs(A.Y)), max(max(abs(B.X), abs(B.Y)), max(abs(C.X), abs(C.Y)))) / 1e9;
	if (val <= -eps)
		return -1;
	if (val >= eps)
		return 1;
	return 0;
}
 
void to_upper(string &x){
	REP(i, sz(x))
		x[i] = toupper(x[i]);
}
 
void to_lower(string &x){
	REP(i, sz(x))
		x[i] = tolower(x[i]);
}
 
string its(ll x){
	if (x == 0)
		return "0";
	string ret = "";
	while (x > 0){
		ret += (x % 10) + '0';
		x /= 10;
	}
	reverse(all(ret));
	return ret;
}
 
ll sti(string s){
	ll ret = 0;
	REP(i, sz(s)){
		ret *= 10;
		ret += (s[i] - '0');
	}
	return ret;
}
 
const int N = 5e4 + 10;
const int P = 31;
 
int n, up[N], down[N], pot[N], sz[N], centroid, anc[N];
string s;
vi e[N];
bool is_centroid[N];
map <pii, int> cnt;
 
void precompute(){
	pot[0] = 1;
	FOR(i, 1, n + 1)
		pot[i] = mul(pot[i - 1], P);
}
 
void dfs(int node, int dad){
	sz[node] = 1;
	FORA(nxt, e[node]){
		if (nxt == dad || is_centroid[nxt])
			continue;
		dfs(nxt, node);
		sz[node] += sz[nxt];
	}
}
 
void find_centroid(int node, int dad, int component_size){
	int maxi = component_size - sz[node];
	FORA(nxt, e[node]){
		if (nxt == dad || is_centroid[nxt])
			continue;
		maxi = max(maxi, sz[nxt]);
		find_centroid(nxt, node, component_size);
	}
	if (maxi <= component_size / 2)
		centroid = node;
}
 
void calc_hash(int node, int dad, int h_down, int h_up, int dep){
	down[node] = sum(mul(h_down, P), s[node] - 'a' + 1);
	up[node] = sum(h_up, mul(pot[dep], s[node] - 'a' + 1));
 
	FORA(nxt, e[node])
		if (!is_centroid[nxt] && nxt != dad)
			calc_hash(nxt, node, down[node], up[node], dep + 1);
}
 
void add_hash(int node, int dad, int dep, int l){
	if (dep >= l)
		return;
	cnt[{dep, down[node]}]++;
	//cout << "ADD: " << dep _ down[node] << '\n';
	FORA(nxt, e[node])
		if (nxt != dad && !is_centroid[nxt])
			add_hash(nxt, node, dep + 1, l);
}
 
void remove_hash(int node, int dad, int dep, int l){
	if (dep >= l)
		return;
	cnt[{dep, down[node]}]--;
	//cout << "REMOVE: " << dep _ down[node] << '\n';
	FORA(nxt, e[node])
		if (nxt != dad && !is_centroid[nxt])
			remove_hash(nxt, node, dep + 1, l);
}
 
bool solve(int node, int dad, int dep, int lenght){
	anc[dep] = node;

	if (dep >= lenght)
		return 0;

	if (dep == lenght - 1){
		if (up[node] == down[node])
			return 1;
	} else {
		int dep_b = (lenght - (dep + 1));
		if (dep_b <= dep && dep_b >= 0){
			if (dep == dep_b){
				//cout << "Q1" _ node + 1 _ dep_b << '\n';
				if (cnt[{dep_b, down[node]}])
					return 1;
			} else {
				int c = anc[dep - (dep_b + 1)];
				//cout << "Q2" _ node + 1 _ c + 1 _ dep_b << '\n';
				if (down[anc[dep - (dep_b + 1) + 1]] == up[anc[dep - (dep_b + 1) + 1]]){
					int h = sub(down[node], mul(pot[dep_b + 1], down[c]));
					if (cnt[{dep_b, h}])
						return 1;
				}
			}
		}
	}
 
	bool ret = 0;
	FORA(nxt, e[node])
		if (nxt != dad && !is_centroid[nxt])
			ret |= solve(nxt, node, dep + 1, lenght);
	return ret;
}	
 
bool decompose(int node, int lenght){
	if (lenght == 1)
		return 1;
	dfs(node, -1);
	if (sz[node] < lenght)
		return 0;
 
	//cout << "-----------\n";
 
	find_centroid(node, -1, sz[node]);
	calc_hash(centroid, -1, 0, 0, 0);
	is_centroid[centroid] = 1;	
 
	add_hash(centroid, -1, 0, lenght);
	bool ret = 0;
	FORA(nxt, e[centroid]){
		if (is_centroid[nxt])
			continue;
		anc[0] = centroid;
		remove_hash(nxt, centroid, 1, lenght);
		//cout << nxt + 1 << '\n';
		ret |= solve(nxt, centroid, 1, lenght);
		add_hash(nxt, centroid, 1, lenght);
	}
	cnt.clear();
 
	FORA(nxt, e[centroid]){
		if (is_centroid[nxt])
			continue;
		ret |= decompose(nxt, lenght);
	}
 
	//is_centroid[centroid] = 0;
	return ret;
}
 
int parni(){
	int cnt = 0;
	int lo = 0, hi = (n + 1) / 2;
	while (lo < hi){
		int mid = (lo + hi + 1) / 2;
		memset(is_centroid, 0, sizeof is_centroid);
		if (decompose(1, 2 * mid))
			lo = mid;
		else
			hi = mid - 1;
		cnt++;
	}
	return 2 * lo;
}
 
int neparni(){
	int lo = 0, hi = (n + 1) / 2;
	while (lo < hi){
		int mid = (lo + hi + 1) / 2;
		memset(is_centroid, 0, sizeof is_centroid);
		if (decompose(1, 2 * mid + 1))
			lo = mid;
		else
			hi = mid - 1;
	}
	return 2 * lo + 1;
}
 
int main () {
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	cout.tie(0);
	
	cin >> n >> s;
	REP(i, n - 1){
		int x, y; cin >> x >> y;
		x--, y--;
		e[x].PB(y);
		e[y].PB(x);
	}
 
	precompute();
 
	cout << max(parni(), neparni()) << '\n';
 
	return 0;
}

Compilation message

lampice.cpp:13:0: warning: ignoring #pragma GCC optimization [-Wunknown-pragmas]
 #pragma GCC optimization ("O3")
 
lampice.cpp:14:0: warning: ignoring #pragma GCC optimization [-Wunknown-pragmas]
 #pragma GCC optimization ("unroll-loops")
 
lampice.cpp: In function 'int fast_pot(ll, int)':
lampice.cpp:90:3: warning: this 'if' clause does not guard... [-Wmisleading-indentation]
   if (n & 1)
   ^~
lampice.cpp:92:4: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'if'
    pot = (pot * pot) % MOD;
    ^~~
# 결과 실행 시간 메모리 Grader output
1 Correct 10 ms 1656 KB Output is correct
2 Correct 18 ms 1656 KB Output is correct
3 Correct 54 ms 1828 KB Output is correct
4 Correct 60 ms 1656 KB Output is correct
5 Correct 7 ms 1528 KB Output is correct
6 Correct 5 ms 1528 KB Output is correct
7 Correct 5 ms 1528 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1164 ms 9336 KB Output is correct
2 Correct 997 ms 9408 KB Output is correct
3 Correct 823 ms 9592 KB Output is correct
4 Correct 958 ms 10208 KB Output is correct
5 Correct 1082 ms 10360 KB Output is correct
6 Correct 641 ms 8824 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 2843 ms 8056 KB Output is correct
2 Correct 3098 ms 7672 KB Output is correct
3 Correct 3278 ms 8056 KB Output is correct
4 Correct 2076 ms 7160 KB Output is correct
5 Correct 2462 ms 7288 KB Output is correct
6 Correct 2204 ms 6728 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 10 ms 1656 KB Output is correct
2 Correct 18 ms 1656 KB Output is correct
3 Correct 54 ms 1828 KB Output is correct
4 Correct 60 ms 1656 KB Output is correct
5 Correct 7 ms 1528 KB Output is correct
6 Correct 5 ms 1528 KB Output is correct
7 Correct 5 ms 1528 KB Output is correct
8 Correct 1164 ms 9336 KB Output is correct
9 Correct 997 ms 9408 KB Output is correct
10 Correct 823 ms 9592 KB Output is correct
11 Correct 958 ms 10208 KB Output is correct
12 Correct 1082 ms 10360 KB Output is correct
13 Correct 641 ms 8824 KB Output is correct
14 Correct 2843 ms 8056 KB Output is correct
15 Correct 3098 ms 7672 KB Output is correct
16 Correct 3278 ms 8056 KB Output is correct
17 Correct 2076 ms 7160 KB Output is correct
18 Correct 2462 ms 7288 KB Output is correct
19 Correct 2204 ms 6728 KB Output is correct
20 Correct 2991 ms 5276 KB Output is correct
21 Correct 3654 ms 6436 KB Output is correct
22 Execution timed out 5012 ms 6520 KB Time limit exceeded
23 Halted 0 ms 0 KB -