Submission #311580

# Submission time Handle Problem Language Result Execution time Memory
311580 2020-10-10T17:11:39 Z arwaeystoamneg Regions (IOI09_regions) C++17
90 / 100
8000 ms 87524 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]);
		   }
	   }
	   ll calc(vi& a, int tout)
	   {
		   return upper_bound(all(a), tout) - a.begin();
	   }
	   ll calc1(vi& a, int tout)
	   {
		   return sz(a) - (upper_bound(all(a), tout) - a.begin());
	   }
public:ll 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:ll query1(int l, int r, int tout)
{
	 return query1(0, 0, (1 << height) - 1, l, r, tout);
}
	   ll 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);
	   }
	   ll 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, ll>>ans;
ll solve(int a, int b)
{
	if (sz(val[a]) < sz(val[b]))
	{
		ll 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
	{
		ll 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 0 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 2 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 10 ms 512 KB Output is correct
6 Correct 16 ms 768 KB Output is correct
7 Correct 35 ms 1016 KB Output is correct
8 Correct 38 ms 1228 KB Output is correct
9 Correct 63 ms 2580 KB Output is correct
10 Correct 106 ms 4088 KB Output is correct
11 Correct 187 ms 5624 KB Output is correct
12 Correct 206 ms 7884 KB Output is correct
13 Correct 296 ms 9208 KB Output is correct
14 Correct 508 ms 11384 KB Output is correct
15 Correct 689 ms 16508 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2023 ms 26960 KB Output is correct
2 Correct 2405 ms 28760 KB Output is correct
3 Correct 3676 ms 34512 KB Output is correct
4 Correct 416 ms 12564 KB Output is correct
5 Correct 562 ms 16196 KB Output is correct
6 Correct 644 ms 19548 KB Output is correct
7 Correct 919 ms 25516 KB Output is correct
8 Correct 1784 ms 40004 KB Output is correct
9 Correct 3626 ms 62496 KB Output is correct
10 Execution timed out 8031 ms 71936 KB Time limit exceeded
11 Execution timed out 8036 ms 81348 KB Time limit exceeded
12 Correct 2829 ms 68052 KB Output is correct
13 Correct 4156 ms 71040 KB Output is correct
14 Correct 4736 ms 78696 KB Output is correct
15 Correct 6759 ms 84900 KB Output is correct
16 Correct 6802 ms 86328 KB Output is correct
17 Correct 6506 ms 87524 KB Output is correct