oj.uz

Submission #247060

# Submission time Handle Problem Language Result Execution time Memory
247060 2020-07-10T20:41:04 Z opukittpceno_hhr Drzava (COCI15_drzava) C++17
160 / 160
 907 ms 7028 KB 
#ifndef LOCAL
#pragma GCC optimize("Ofast")
#endif
 
#include <iostream>
#include <vector>
#include <map>
#include <set>
#include <queue>
#include <algorithm>
#include <string>
#include <cmath>
#include <cstdio>
#include <iomanip>
#include <fstream>
#include <cassert>
#include <cstring>
#include <unordered_set>
#include <unordered_map>
#include <numeric>
#include <ctime>
#include <bitset>
#include <complex>
#include <chrono>
#include <random>
#include <functional>
 
using namespace std;
 
typedef double ld;
 
typedef long long ll;
 
const int N = 5e4;
const int K = 30;
 
int n, k;
int X[N];
int Y[N];
int C[N];
 
int ids[N];
pair<int, int> block[N];
vector<int> by_block[N];
 
int block_ind[N];
int bl_ids[N][3][3]; 
 
int used[N];

int dp[2][K];
 
void dfs(int i, ll mid_int, int &ret) {
	used[i] = 1;
	{
		for (int j = 0; j < k; j++) {
			if (dp[0][j] == -N) continue;
			dp[1][(j + C[i]) % k] = max(dp[1][(j + C[i]) % k], dp[0][j] + 1); 
			dp[1][j] = max(dp[1][j], dp[0][j]);
		}
		for (int j = 0; j < k; j++) {
			dp[0][j] = dp[1][j];
			dp[1][j] = -N;
		}
		if (dp[0][0] > 0) ret = 1;
	}
	if (ret) return;
	int we = block_ind[i];
	for (int dx = -1; dx <= 1; dx++) {
		for (int dy = -1; dy <= 1; dy++) {
			int bl_id = bl_ids[we][dx + 1][dy + 1];
			if (bl_id == -1) continue;
			for (auto other : by_block[bl_id]) {
				if (ret) break;
				if (!used[other] && (ll)(X[i] - X[other]) * (X[i] - X[other]) + (ll)(Y[i] - Y[other]) * (Y[i] - Y[other]) <= mid_int) {
					dfs(other, mid_int, ret);
				}
				if (ret) break;
			}
			if (ret) break;
		}
		if (ret) break;
	}
}

vector<pair<int, int>> seen;
 
int gt(pair<int, int> v) {
	auto it = lower_bound(seen.begin(), seen.end(), v);
	if (it != seen.end() && *it == v) {
		return (int)(it - seen.begin());
	}
	return (int)-1;
};

bool check(ll mid_int) {
	{
		ld mid = sqrt((ld)mid_int / 2);
		for (int i = 0; i < n; i++) {
			ids[i] = i;
			block[i] = {X[i] / mid, Y[i] / mid};
		}
		sort(ids, ids + n, [&](int i, int j) {
			return block[i] < block[j];
		});
		for (int i = 0; i < n; i++) {
			int r = i;
			while (r + 1 < n && block[ids[r]] == block[ids[r + 1]]) {
				r++;
			}
			if (r - i + 1 >= k) {
				return true;
			}
			i = r;
		}	
	}
	{
		ld mid = sqrt((ld)mid_int);
		seen.clear();
		for (int i = 0; i < n; i++) {
			ids[i] = i;
			block[i] = {X[i] / mid, Y[i] / mid};
			seen.push_back(block[i]);
			by_block[i].clear();
		}
		sort(ids, ids + n, [&](int i, int j) {
			return block[i] < block[j];
		});
	}
	{
		int c = 0;
		for (int i = 0; i < n; i++) {
			if (i > 0) c += (block[ids[i - 1]] < block[ids[i]]);
			block_ind[ids[i]] = c;
			by_block[c].push_back(ids[i]);
		}
	}
	sort(seen.begin(), seen.end());
	seen.resize(unique(seen.begin(), seen.end()) - seen.begin());
	for (int i = 0; i < (int)seen.size(); i++) {
		for (int dx = -1; dx <= 1; dx++) {
			for (int dy = -1; dy <= 1; dy++) {
				bl_ids[i][dx + 1][dy + 1] = gt({seen[i].first + dx, seen[i].second + dy});
			}
		}
	}
	fill(used, used + n, 0);
	for (int i = 0; i < n; i++) {
		if (!used[i]) {
			fill(dp[0], dp[0] + k, -N);
			fill(dp[1], dp[1] + k, -N);
			dp[0][0] = 0;
			int ret = 0;
			dfs(i, mid_int, ret);
			if (ret) return true;
		}
	}
	return false;
}
 
signed main() {
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	
	cin >> n >> k;
	for (int i = 0; i < n; i++) {
		cin >> X[i] >> Y[i] >> C[i];
	}
	ll r = 4e16 + 239;
	for (int i = 60; i >= 0; i--) {
		if (r > (1LL << i) && check(r - (1LL << i))) r -= (1LL << i);
	}
	cout << fixed << setprecision(3);
	cout << sqrt(r) << endl;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 1536 KB Output is correct
2 Correct 5 ms 1536 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 1536 KB Output is correct
2 Correct 6 ms 1536 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 1536 KB Output is correct
2 Correct 12 ms 1664 KB Output is correct

Subtask #4
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 1536 KB Output is correct
2 Correct 18 ms 1664 KB Output is correct

Subtask #5
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 1536 KB Output is correct
2 Correct 18 ms 1664 KB Output is correct

Subtask #6
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 1536 KB Output is correct
2 Correct 11 ms 1664 KB Output is correct

Subtask #7
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 1536 KB Output is correct
2 Correct 13 ms 1664 KB Output is correct

Subtask #8
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 1536 KB Output is correct
2 Correct 17 ms 1664 KB Output is correct

Subtask #9
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 1536 KB Output is correct
2 Correct 179 ms 3960 KB Output is correct

Subtask #10
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 1536 KB Output is correct
2 Correct 519 ms 6772 KB Output is correct

Subtask #11
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 1536 KB Output is correct
2 Correct 907 ms 6672 KB Output is correct

Subtask #12
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 1664 KB Output is correct
2 Correct 475 ms 6516 KB Output is correct

Subtask #13
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 1536 KB Output is correct
2 Correct 514 ms 6864 KB Output is correct

Subtask #14
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 1536 KB Output is correct
2 Correct 505 ms 6864 KB Output is correct

Subtask #15
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 1536 KB Output is correct
2 Correct 483 ms 6932 KB Output is correct

Subtask #16
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 1536 KB Output is correct
2 Correct 506 ms 6900 KB Output is correct

Subtask #17
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 1536 KB Output is correct
2 Correct 393 ms 7028 KB Output is correct

Subtask #18
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 1536 KB Output is correct
2 Correct 411 ms 6876 KB Output is correct

Subtask #19
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 1536 KB Output is correct
2 Correct 511 ms 6972 KB Output is correct

Subtask #20
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 1408 KB Output is correct
2 Correct 438 ms 6876 KB Output is correct