Submission #311599

# Submission time Handle Problem Language Result Execution time Memory
311599 2020-10-10T18:24:19 Z arwaeystoamneg Regions (IOI09_regions) C++17
90 / 100
8000 ms 84704 KB
/*
ID: awesome35
LANG: C++14
TASK: vans
*/
#define _CRT_SECURE_NO_WARNINGS
#include<bits/stdc++.h>
#include<unordered_set>
#include<unordered_map>
#include<chrono>

using namespace std;
typedef pair<int, int> pii;
typedef long long ll;
typedef pair<ll, ll> pll;
typedef long double ld;
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<pair<int, int>> vpi;
typedef vector<pair<ll, ll>> vpll;

#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)

#define pb push_back
#define mp make_pair
#define rsz resize
#define sz(x) int(x.size())
#define all(x) x.begin(),x.end()
#define f first
#define s second
#define cont continue
//#define endl '\n'
//#define ednl '\n'
#define test int testc;cin>>testc;while(testc--)
#define pq priority_queue
const int dx[4] = { 1,0,-1,0 }, dy[4] = { 0,1,0,-1 }; // for every grid problem!!
const ll linf = 4000000000000000000LL;
const ll inf = 1000000007;//998244353
const ld pi = 3.1415926535;

void pv(vi a) { trav(x, a)cout << x << " "; cout << endl; }void pv(vll a) { trav(x, a)cout << x << " "; cout << endl; }void pv(vector<vi>a) {
	F0R(i, sz(a)) { cout << i << endl; pv(a[i]); cout << endl; }
}void pv(vector<vll>a) { F0R(i, sz(a)) { cout << i << endl; pv(a[i]); }cout << endl; }void pv(vector<string>a) { trav(x, a)cout << x << endl; cout << endl; }
void build_primes(vi& primes, int size)
{
	vi visited;
	visited.rsz(size, 0);
	FOR(i, 2, size)
	{
		if (visited[i] == 0)
		{
			primes.pb(i);
			int a = i;
			while (a < size)
			{
				visited[a] = 1;
				a += i;
			}
		}
	}
}
vector<vector<ll>> matrix_mult(vector<vector<ll>>& a, vector<vector<ll>>& b)
{
	int n = a.size();
	vector<vector<ll>> answer;
	answer.resize(n);
	for (int i = 0; i < n; i++) answer[i].resize(n, 0);
	for (int i = 0; i < n; i++)
	{
		for (int j = 0; j < n; j++) // calculate answer[i][j]
		{
			for (int k = 0; k < n; k++)
				answer[i][j] = (answer[i][j] + a[i][k] * b[k][j]) % inf;
		}
	}
	return answer;
}
int modInverse(int a, int m)
{
	int m0 = m;
	int y = 0, x = 1;
	if (m == 1)
		return 0;
	while (a > 1)
	{
		// q is quotient 
		int q = a / m;
		int t = m;
		// m is remainder now, process same as 
		// Euclid's algo 
		m = a % m, a = t;
		t = y;
		// Update y and x 
		y = x - q * y;
		x = t;
	}
	// Make x positive 
	if (x < 0)
		x += m0;

	return x;
}
ll power(ll x, ll y)
{
	ll k = 1LL << 60;
	ll z = 1;
	while (k != 0)
	{
		z *= z;
		z %= inf;
		if (y >= k)
		{
			z *= x;
			z %= inf;
			y -= k;
		}
		k >>= 1;
	}
	return z;
}
struct point
{
	ld x, y;
	bool operator<(const point& rhs)const
	{
		if (x == rhs.x)return y < rhs.y;
		return x < rhs.x;
	}
};
struct pt
{
	ll x, y;
	bool operator<(const point& rhs)const
	{
		if (x == rhs.x)return y < rhs.y;
		return x < rhs.x;
	}
};
// remember that you need to take abs
long double area(point x, point y, point z)
{
	return (x.y * y.x + y.y * z.x + z.y * x.x - x.x * y.y - y.x * z.y - z.x * x.y) / 2.0;
}
bool clockwise(point x, point y, point z)
{
	return area(x, y, z) > 0;
}
// remember that you need to take abs
long double area(pt x, pt y, pt z)
{
	return (x.y * y.x + y.y * z.x + z.y * x.x - x.x * y.y - y.x * z.y - z.x * x.y) / 2.0;
}
bool clockwise(pt x, pt y, pt z)
{
	return area(x, y, z) > 0;
}
ll gcd(ll a, ll b)
{
	if (a > b)swap(a, b);
	if (a == 0)return b;
	return gcd(a, b % a);
}
int popcount(ll a)
{
	int count = 0;
	while (a)
	{
		count += (a & 1);
		a >>= 1;
	}
	return count;
}
ll choose(ll n, ll r)
{
	ll p = 1, k = 1;
	if (n - r < r)
		r = n - r;
	if (r != 0) {
		while (r) {
			p *= n;
			k *= r;
			long long m = gcd(p, k);
			p /= m;
			k /= m;
			n--;
			r--;
		}
	}
	else
		p = 1;
	return p;
}
vll prefix_hash(string& a, vll& powers)
{
	int n = sz(a);
	vll prefix(n + 1);
	F0R(i, n)prefix[i + 1] = (prefix[i] + powers[i] * (a[i] - 'a' + 1)) % inf;
	return prefix;
}
struct custom_hash {
	static uint64_t splitmix64(uint64_t x) {
		// http://xorshift.di.unimi.it/splitmix64.c
		x += 0x9e3779b97f4a7c15;
		x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
		x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
		return x ^ (x >> 31);
	}
	//the return type was size_t. But isnt that problematic?
	uint64_t operator()(uint64_t x) const {
		static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
		return splitmix64(x + FIXED_RANDOM);
	}
};
struct custom_hash_fast {
	//the return type was size_t. But isnt that problematic?
	uint64_t operator()(uint64_t x) const {
		static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
		x ^= FIXED_RANDOM;
		return x ^ (x >> 16);
	}
};
struct node
{
	int tin, tout, index;
	bool operator<(const node& x)const
	{
		return tin < x.tin;
	}
};
class segment_tree
{
	struct item
	{
		vi tout;
	};
	item single(node i)
	{
		return { {i.tout} };
	}
	item merge(item& x, item& y)
	{
		item ans;
		int i = 0, j = 0;
		while (i < sz(x.tout) || j < sz(y.tout))
		{
			if (j == sz(y.tout))
			{
				ans.tout.pb(x.tout[i]);
				i++;
			}
			else if (i == sz(x.tout))
			{
				ans.tout.pb(y.tout[j]);
				j++;
			}
			else
			{
				if (x.tout[i] < y.tout[j])
				{
					ans.tout.pb(x.tout[i]);
					i++;
				}
				else
				{
					ans.tout.pb(y.tout[j]);
					j++;
				}
			}
		}
		return ans;
	}
	vector<item> tree;
	vector<item>A;
	int height;
	item neutral = { {} };
public:void build(vector<node>& B)
{
	int	n = B.size();
	height = log2(n) + 1;
	A.rsz(n);
	tree.rsz((1 << height + 1) - 1);
	F0R(i, n)A[i] = single(B[i]);
	A.rsz(1 << height, neutral);
	build(A, 0, 0, (1 << height) - 1);
}
	   void build(vector<item>& A, int v, int tl, int tr)
	   {
		   if (tl == tr)
			   tree[v] = A[tl];
		   else
		   {
			   int mid = (tl + tr) / 2;
			   build(A, 2 * v + 1, tl, mid);
			   build(A, 2 * v + 2, mid + 1, tr);
			   tree[v] = merge(tree[2 * v + 1], tree[2 * v + 2]);
		   }
	   }
	   int calc(vi& a, int tout)
	   {
		   return upper_bound(all(a), tout) - a.begin();
	   }
	   int calc1(vi& a, int tout)
	   {
		   return sz(a) - (upper_bound(all(a), tout) - a.begin());
	   }
public:int query(int l, int r, int tout)
{
//	item ans = query(0, 0, (1 << height) - 1, l, r);
	//return upper_bound(all(ans.tout), tout) - ans.tout.begin();
	return query(0, 0, (1 << height) - 1, l, r, tout);
}
public:int query1(int l, int r, int tout)
{
	 return query1(0, 0, (1 << height) - 1, l, r, tout);
}
	   int query(int v, int tl, int tr, int l, int r, int tout)
	   {
		   if (r<tl || l>tr)return 0;
		   if (l <= tl && r >= tr)
		   {
			   return calc(tree[v].tout, tout);
		   }
		   int mid = (tl + tr) / 2;
		   return query(2 * v + 1, tl, mid, l, r, tout) + query(2 * v + 2, mid + 1, tr, l, r, tout);
	   }
	   int query1(int v, int tl, int tr, int l, int r, int tout)
	   {
		   if (r<tl || l>tr)return 0;
		   if (l <= tl && r >= tr)
		   {
			   return calc1(tree[v].tout, tout);
		   }
		   int mid = (tl + tr) / 2;
		   return query1(2 * v + 1, tl, mid, l, r, tout) + query1(2 * v + 2, mid + 1, tr, l, r, tout);
	   }
};
//end of preprogrammed methods
void setIO(string s) {
	ios_base::sync_with_stdio(0); cin.tie(0);
	//freopen((s + ".in").c_str(), "r", stdin);
	//freopen((s + ".out").c_str(), "w", stdout);
}
int n, k, q;
vector<vi>adj;
vi types, tin, tout, sizes, order, indexs;
int timenow;
void dfs(int i, int p)
{
	order.pb(i);
	sizes[i] = 1;
	tin[i] = timenow++;
	trav(x, adj[i])
	{
		if (x != p)
		{
			dfs(x, i);
			sizes[i] += sizes[x];
		}
	}
	tout[i] = timenow++;
}
vector<vector<node>> val;
vector<segment_tree>sum;
vector<map<int, int>>ans;
int solve(int a, int b)
{
	if (sz(val[a]) < sz(val[b]))
	{
		int total = 0;
		trav(x, val[a])
		{
			int index = upper_bound(all(val[b]), x) - val[b].begin();
			total += sum[b].query(index, sz(val[b]) - 1, x.tout);
		}
		ans[a].insert({ b,total });
		return total;
	}
	else
	{
		int total = 0;
		trav(x, val[b])
		{
			int index = upper_bound(all(val[a]), x) - val[a].begin() - 1;
			if (index != -1)
			{
				total += sum[a].query1(0, index, x.tout);
			}
		}
		ans[a].insert({ b,total });
		return total;
	}
}
int main()
{
	setIO("snowcow");
	cin >> n >> k >> q;
	adj.rsz(n);
	types.rsz(n);
	cin >> types[0];
	types[0]--;
	F0R(i, n - 1)
	{
		int a, b;
		cin >> a >> b;
		types[i + 1] = b - 1;
		adj[--a].pb(i + 1);
		adj[i + 1].pb(a);
	}
	tin.rsz(n);
	tout.rsz(n);
	sizes.rsz(n);
	dfs(0, -1);
	indexs.rsz(n);
	F0R(i, n)indexs[order[i]] = i;
	val.rsz(k);
	F0R(i, n)val[types[i]].pb({ tin[i],tout[i],i });
	F0R(i, k)sort(all(val[i]));
	sum.rsz(k);
	F0R(i, k)
	{
		sum[i].build(val[i]);
	}
	ans.rsz(k);
	F0R(i, q)
	{
		int a, b;
		cin >> a >> b;
		a--; b--;
		if (ans[a].count(b))
			cout << ans[a][b] << endl;
		else
			cout << solve(a, b) << endl;
	}
}

Compilation message

regions.cpp: In member function 'void segment_tree::build(std::vector<node>&)':
regions.cpp:285:24: warning: suggest parentheses around '+' inside '<<' [-Wparentheses]
  285 |  tree.rsz((1 << height + 1) - 1);
      |                 ~~~~~~~^~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 416 KB Output is correct
4 Correct 6 ms 384 KB Output is correct
5 Correct 8 ms 512 KB Output is correct
6 Correct 20 ms 768 KB Output is correct
7 Correct 30 ms 896 KB Output is correct
8 Correct 25 ms 1112 KB Output is correct
9 Correct 68 ms 2568 KB Output is correct
10 Correct 101 ms 3964 KB Output is correct
11 Correct 183 ms 5496 KB Output is correct
12 Correct 216 ms 7696 KB Output is correct
13 Correct 293 ms 8996 KB Output is correct
14 Correct 454 ms 11392 KB Output is correct
15 Correct 568 ms 16460 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2306 ms 26632 KB Output is correct
2 Correct 2674 ms 28016 KB Output is correct
3 Correct 3635 ms 33484 KB Output is correct
4 Correct 352 ms 12092 KB Output is correct
5 Correct 340 ms 15648 KB Output is correct
6 Correct 612 ms 18960 KB Output is correct
7 Correct 1014 ms 25324 KB Output is correct
8 Correct 1908 ms 38912 KB Output is correct
9 Correct 3820 ms 60488 KB Output is correct
10 Execution timed out 8021 ms 69092 KB Time limit exceeded
11 Execution timed out 8061 ms 78104 KB Time limit exceeded
12 Correct 2868 ms 66896 KB Output is correct
13 Correct 4131 ms 69240 KB Output is correct
14 Correct 4849 ms 76544 KB Output is correct
15 Correct 6937 ms 82108 KB Output is correct
16 Correct 7113 ms 83476 KB Output is correct
17 Correct 6989 ms 84704 KB Output is correct