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Submission #559457

# Submission time Handle Problem Language Result Execution time Memory
559457 2022-05-09T21:15:05 Z aryan12 Pictionary (COCI18_pictionary) C++17
98 / 140
 173 ms 33784 KB 
#include <bits/stdc++.h>
using namespace std;
#define int long long

mt19937_64 RNG(chrono::steady_clock::now().time_since_epoch().count());

const int N = 1e5 + 5;
int dp[18][N];
int par[2 * N], values[2 * N];

int Find(int x)
{
	if(par[x] == x)
	{
		return x;
	}
	return par[x] = Find(par[x]);
}

void Unite(int a, int b, int pos)
{
	// cout << "Unite(" << a << ", " << b << ", " << pos << ")\n";
	values[pos] = a;
	a = Find(a), b = Find(b);
	// cout << "rep of a: " << a << ", rep of b: " << b << "\n";
	par[a] = par[b] = pos;
	dp[0][a] = pos;
	dp[0][b] = pos;
}

int LCA(int x, int y)
{
	int temp_x = x, temp_y = y;
	int depth_x = 0, depth_y = 0;
	for(int i = 17; i >= 0; i--)
	{
		if(dp[i][temp_x] != 0)
		{
			temp_x = dp[i][temp_x];
			depth_x += (1 << i);
		}
		if(dp[i][temp_y] != 0)
		{
			temp_y = dp[i][temp_y];
			depth_y += (1 << i);
		}
	}
	if(depth_y <= depth_x)
	{
		swap(depth_x, depth_y);
		swap(x, y);
	}
	int diff = depth_y - depth_x;
	for(int i = 17; i >= 0; i--)
	{
		if((1 << i) & diff)
		{
			y = dp[i][y];
		}
	}
	if(x == y)
	{
		return x;
	}
	for(int i = 17; i >= 0; i--)
	{
		if(dp[i][x] != dp[i][y])
		{
			x = dp[i][x];
			y = dp[i][y];
		}
	}
	return dp[0][x];
}

void Solve() 
{
	int n, m, q;
	cin >> n >> m >> q;
	for(int i = 0; i <= 2 * n; i++)
	{
		par[i] = i;
	}
	int pos = n + 1;
	for(int i = m; i > 0; i--)
	{
		for(int j = i * 2; j <= n; j += i)
		{
			if(Find(i) != Find(j))
			{
				// cout << "uniting: " << i << ", " << j << "\n";
				Unite(i, j, pos++);
				assert(pos <= 2 * n);
			}
		}
		// for(int j = 1; j <= 2 * n; j++)
		// {
		// 	cout << Find(j) << " ";
		// }
		// cout << "\n";
	}
	// for(int i = 1; i <= 2 * n; i++)
	// {
	// 	cout << values[i] << " ";
	// }
	// cout << "\n";
	for(int i = 1; i <= 17; i++)
	{
		for(int j = 1; j <= 2 * n; j++)
		{
			dp[i][j] = dp[i - 1][dp[i - 1][j]];
		}
	}
	for(int i = 1; i <= q; i++)
	{
		int u, v;
		cin >> u >> v;
		// cout << "LCA(u, v) = " << LCA(u, v) << "\n";
		cout << m + 1 - values[LCA(u, v)] << "\n";
	}
}

int32_t main() 
{
	auto begin = std::chrono::high_resolution_clock::now();
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	int t = 1;
	// cin >> t;
	for(int i = 1; i <= t; i++) 
	{
		//cout << "Case #" << i << ": ";
		Solve();
	}
	auto end = std::chrono::high_resolution_clock::now();
    auto elapsed = std::chrono::duration_cast<std::chrono::nanoseconds>(end - begin);
    cerr << "Time measured: " << elapsed.count() * 1e-9 << " seconds.\n"; 
	return 0;
}

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 468 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 624 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 38 ms 848 KB Output is correct
2 Correct 38 ms 812 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 55 ms 1100 KB Output is correct
2 Correct 46 ms 1040 KB Output is correct

Subtask #5
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 86 ms 7424 KB Output is correct
2 Correct 81 ms 7372 KB Output is correct

Subtask #6
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 107 ms 10264 KB Output is correct
2 Correct 136 ms 11484 KB Output is correct

Subtask #7
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 173 ms 14644 KB Output is correct
2 Correct 110 ms 15508 KB Output is correct

Subtask #8
0 / 14.0

# Verdict Execution time Memory Grader output
1 Runtime error 34 ms 31872 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -

Subtask #9
0 / 14.0

# Verdict Execution time Memory Grader output
1 Runtime error 31 ms 32748 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -

Subtask #10
0 / 14.0

# Verdict Execution time Memory Grader output
1 Runtime error 35 ms 33784 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -