Submission #311583

# Submission time Handle Problem Language Result Execution time Memory
311583 2020-10-10T17:15:47 Z arwaeystoamneg Regions (IOI09_regions) C++17
30 / 100
3393 ms 131076 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<vll>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][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][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, vll(k, -1));
	F0R(i, q)
	{
		int a, b;
		cin >> a >> b;
		a--; b--;
		if (ans[a][b] != -1)
			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 2 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 9 ms 512 KB Output is correct
6 Correct 19 ms 1152 KB Output is correct
7 Correct 31 ms 1024 KB Output is correct
8 Correct 34 ms 1280 KB Output is correct
9 Correct 52 ms 2944 KB Output is correct
10 Correct 96 ms 4992 KB Output is correct
11 Correct 131 ms 5632 KB Output is correct
12 Correct 177 ms 8652 KB Output is correct
13 Correct 277 ms 9400 KB Output is correct
14 Correct 470 ms 11008 KB Output is correct
15 Correct 550 ms 16096 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2206 ms 25500 KB Output is correct
2 Correct 2487 ms 27144 KB Output is correct
3 Correct 3393 ms 30884 KB Output is correct
4 Runtime error 108 ms 131076 KB Execution killed with signal 9 (could be triggered by violating memory limits)
5 Runtime error 110 ms 131076 KB Execution killed with signal 9 (could be triggered by violating memory limits)
6 Runtime error 128 ms 131076 KB Execution killed with signal 9 (could be triggered by violating memory limits)
7 Runtime error 139 ms 131076 KB Execution killed with signal 9 (could be triggered by violating memory limits)
8 Runtime error 155 ms 131076 KB Execution killed with signal 9 (could be triggered by violating memory limits)
9 Runtime error 198 ms 131076 KB Execution killed with signal 9 (could be triggered by violating memory limits)
10 Runtime error 198 ms 131076 KB Execution killed with signal 9 (could be triggered by violating memory limits)
11 Runtime error 224 ms 131072 KB Execution killed with signal 9 (could be triggered by violating memory limits)
12 Runtime error 225 ms 131072 KB Execution killed with signal 9 (could be triggered by violating memory limits)
13 Runtime error 222 ms 131076 KB Execution killed with signal 9 (could be triggered by violating memory limits)
14 Runtime error 264 ms 131076 KB Execution killed with signal 9 (could be triggered by violating memory limits)
15 Runtime error 226 ms 131076 KB Execution killed with signal 9 (could be triggered by violating memory limits)
16 Runtime error 208 ms 131076 KB Execution killed with signal 9 (could be triggered by violating memory limits)
17 Runtime error 215 ms 131076 KB Execution killed with signal 9 (could be triggered by violating memory limits)