Submission #97295

# Submission time Handle Problem Language Result Execution time Memory
97295 2019-02-15T00:06:44 Z qkxwsm Park (BOI16_park) C++14
100 / 100
1091 ms 1944 KB
#pragma GCC optimize ("O3")
#pragma GCC target ("sse4")
#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/rope>

using namespace std;
using namespace __gnu_pbds;
using namespace __gnu_cxx;

random_device(rd);
mt19937 rng(rd());
const long long FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();

struct custom_hash
{
	template<class T>
	unsigned long long operator()(T v) const
	{
		unsigned long long x = v;
		x += FIXED_RANDOM;
		// x += 11400714819323198485ull;
		// x = (x ^ (x >> 30)) * 13787848793156543929ull;
		x = (x ^ (x >> 27)) * 10723151780598845931ull;
		return x ^ (x >> 31);
	}
};

template<class T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<class T, class U> using hash_table = gp_hash_table<T, U, custom_hash>;

template<class T>
T randomize(T mod)
{
	return (uniform_int_distribution<T>(0, mod - 1))(rng);
}
template<class T>
void readi(T &x)
{
	x = 0;
	bool negative = false;
	char c = ' ';
	while (c < '-')
	{
		c = getchar();
	}
	if (c == '-')
	{
		negative = true;
		c = getchar();
	}
	while (c >= '0')
	{
		x = x * 10 + (c - '0');
		c = getchar();
	}
	if (negative)
	{
		x = -x;
	}
}
template<class T>
void printi(T output)
{
	if (output == 0)
	{
		putchar('0');
		return;
	}
	if (output < 0)
	{
		putchar('-');
		output = -output;
	}
	int buf[20], n = 0;
	while(output)
	{
		buf[n] = ((output % 10));
		output /= 10;
		n++;
	}
	for (n--; n >= 0; n--)
	{
		putchar(buf[n] + '0');
	}
	return;
}
template<class T>
void ckmin(T &a, T b)
{
	a = min(a, b);
}
template<class T>
void ckmax(T &a, T b)
{
	a = max(a, b);
}
long long expo(long long a, long long e, long long mod)
{
	return ((e == 0) ? 1 : ((expo(a * a % mod, e >> 1, mod)) * ((e & 1) ? a : 1) % mod));
}
template<class T, class U>
void nmod(T &x, U mod)
{
	if (x >= mod) x -= mod;
}
template<class T>
T gcd(T a, T b)
{
	return (b ? gcd(b, a % b) : a);
}

#define y0 ___y0
#define y1 ___y1
#define MP make_pair
#define PB push_back
#define LB lower_bound
#define UB upper_bound
#define fi first
#define se second
#define DBG(x) cerr << #x << " = " << (x) << endl
#define SZ(x) ((int) ((x).size()))
#define FOR(i, a, b) for (auto i = (a); i < (b); i++)
#define FORD(i, a, b) for (auto i = (a) - 1; i >= (b); i--)
#define ALL(x) (x).begin(), (x).end()

const long double PI = 4.0 * atan(1.0);
const long double EPS = 1e-9;

#define MAGIC 347
#define SINF 10007
#define CO 1000007
#define INF 1000000007
#define BIG 1000000931
#define LARGE 1696969696967ll
#define GIANT 2564008813937411ll
#define LLINF 2696969696969696969ll
#define MAXN 100013

typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef pair<ld, ld> pdd;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<ld> vd;
typedef vector<pii> vpi;
typedef vector<pll> vpl;
typedef vector<pdd> vpd;

int N, Q;
ll W, H;
pair<pll, ll> circ[MAXN];
int dsu[MAXN];
ll ans[4][4];

ll dist(pll a, pll b)
{
	return (b.fi - a.fi) * (b.fi - a.fi) + (b.se - a.se) * (b.se - a.se);
}
int get(int x)
{
	return (x == dsu[x] ? x : dsu[x] = get(dsu[x]));
}
void merge(int a, int b)
{
	a = get(a);
	b = get(b);
	if (a == b) return;
	dsu[a] = b;
	return;
}
bool go(ll r, int x, int y)
{
	FOR(i, 0, N + 4)
	{
		dsu[i] = i;
	}
	// pll center;
	// if (x == 0) center = {r, r};
	// if (x == 1) center = {W - r, r};
	// if (x == 2) center = {W - r, H - r};
	// if (x == 3) center = {r, H - r};
	// FOR(i, 0, N)
	// {
	// 	if (dist(center, circ[i].fi) <= r + circ[i].se) return true;
	// }
	// if (y == 0) center = {r, r};
	// if (y == 1) center = {W - r, r};
	// if (y == 2) center = {W - r, H - r};
	// if (y == 3) center = {r, H - r};
	// FOR(i, 0, N)
	// {
	// 	if (dist(center, circ[i].fi) <= r + circ[i].se) return true;
	// }
	FOR(i, 0, N)
	{
		FOR(j, i + 1, N)
		{
			if (dist(circ[i].fi, circ[j].fi) < (2 * r + circ[i].se + circ[j].se) * (2 * r + circ[i].se + circ[j].se))
			{
				merge(i, j);
			}
		}
		if (circ[i].fi.se < 2 * r + circ[i].se)
		{
			merge(i, N);
		}
		if (circ[i].fi.fi > W - 2 * r - circ[i].se)
		{
			merge(i, N + 1);
		}
		if (circ[i].fi.se > H - 2 * r - circ[i].se)
		{
			merge(i, N + 2);
		}
		if (circ[i].fi.fi < 2 * r + circ[i].se)
		{
			merge(i, N + 3);
		}
	}
	if (x == 0 && y == 1)
	{
		if (get(N) == get(N + 3) || get(N) == get(N + 2) || get(N) == get(N + 1)) return true;
	}
	if (x == 0 && y == 2)
	{
		if (get(N) == get(N + 2) || get(N + 1) == get(N + 3) || get(N) == get(N + 3) || get(N + 1) == get(N + 2)) return true;
	}
	if (x == 0 && y == 3)
	{
		if (get(N + 3) == get(N + 2) || get(N + 3) == get(N + 1) || get(N + 3) == get(N)) return true;
	}
	if (x == 1 && y == 2)
	{
		if (get(N + 1) == get(N) || get(N + 1) == get(N + 2) || get(N + 1) == get(N + 3)) return true;
	}
	if (x == 1 && y == 3)
	{
		if (get(N) == get(N + 2) || get(N + 1) == get(N + 3) || get(N + 2) == get(N + 3) || get(N + 1) == get(N)) return true;
	}
	if (x == 2 && y == 3)
	{
		if (get(N + 2) == get(N) || get(N + 2) == get(N + 1) || get(N + 2) == get(N + 3)) return true;
	}
	return false;
}

int32_t main()
{
	ios_base::sync_with_stdio(0); cin.tie(0);
	// cout << fixed << setprecision(10);
	// cerr << fixed << setprecision(10);
	// if (fopen("file.in", "r"))
	// {
	// 	freopen ("file.in", "r", stdin);
	// 	freopen ("file.out", "w", stdout);
	// }
	cin >> N >> Q >> W >> H;
	FOR(i, 0, N)
	{
		cin >> circ[i].fi.fi >> circ[i].fi.se >> circ[i].se;
	}
	FOR(i, 0, 4)
	{
		FOR(j, i + 1, 4)
		{
			ll lo = 0, hi = INF;
			while(hi > lo)
			{
				ll mid = (hi + lo) >> 1;
				if (go(mid, i, j)) hi = mid;
				else lo = mid + 1;
			}
			// cerr << "res " << i << ' ' << j << ' ' << lo << endl;
			ans[i][j] = lo;
			ans[j][i] = lo;
		}
		ans[i][i] = LLINF;
	}
	FOR(i, 0, Q)
	{
		ll r; int loc;
		cin >> r >> loc; loc--;
		FOR(j, 0, 4)
		{
			if (r < ans[loc][j])
			{
				cout << j + 1;
			}
		}
		cout << '\n';
		//basically the radii of all the circles increase by r, and you want to see where you can go
	}
	//an event is: circle merges with base, circle merges with circle, answer a query
	//radius, event type, two ID's
	// cerr << "time elapsed = " << (clock() / (CLOCKS_PER_SEC / 1000)) << " ms" << endl;
	return 0;
}
/* READ READ READ
* int overflow, maxn too small, special cases (n=1?, two distinct?), cin.tie() interactive
* reread the problem, try small cases
* note down possible sources of error as you go
* do smth instead of nothing
*/
# Verdict Execution time Memory Grader output
1 Correct 896 ms 760 KB Output is correct
2 Correct 944 ms 632 KB Output is correct
3 Correct 863 ms 632 KB Output is correct
4 Correct 916 ms 632 KB Output is correct
5 Correct 917 ms 632 KB Output is correct
6 Correct 827 ms 632 KB Output is correct
7 Correct 1046 ms 540 KB Output is correct
8 Correct 1091 ms 604 KB Output is correct
9 Correct 2 ms 384 KB Output is correct
10 Correct 2 ms 384 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 65 ms 1916 KB Output is correct
2 Correct 53 ms 1796 KB Output is correct
3 Correct 47 ms 1652 KB Output is correct
4 Correct 53 ms 1788 KB Output is correct
5 Correct 71 ms 1912 KB Output is correct
6 Correct 59 ms 1944 KB Output is correct
7 Correct 37 ms 1784 KB Output is correct
8 Correct 57 ms 1916 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 896 ms 760 KB Output is correct
2 Correct 944 ms 632 KB Output is correct
3 Correct 863 ms 632 KB Output is correct
4 Correct 916 ms 632 KB Output is correct
5 Correct 917 ms 632 KB Output is correct
6 Correct 827 ms 632 KB Output is correct
7 Correct 1046 ms 540 KB Output is correct
8 Correct 1091 ms 604 KB Output is correct
9 Correct 2 ms 384 KB Output is correct
10 Correct 2 ms 384 KB Output is correct
11 Correct 65 ms 1916 KB Output is correct
12 Correct 53 ms 1796 KB Output is correct
13 Correct 47 ms 1652 KB Output is correct
14 Correct 53 ms 1788 KB Output is correct
15 Correct 71 ms 1912 KB Output is correct
16 Correct 59 ms 1944 KB Output is correct
17 Correct 37 ms 1784 KB Output is correct
18 Correct 57 ms 1916 KB Output is correct
19 Correct 914 ms 1888 KB Output is correct
20 Correct 884 ms 1784 KB Output is correct
21 Correct 925 ms 1876 KB Output is correct
22 Correct 963 ms 1756 KB Output is correct
23 Correct 867 ms 1912 KB Output is correct
24 Correct 1068 ms 1880 KB Output is correct