oj.uz

Submission #247041

# Submission time Handle Problem Language Result Execution time Memory
247041 2020-07-10T19:50:43 Z opukittpceno_hhr Drzava (COCI15_drzava) C++17
72 / 160
 1000 ms 65540 KB 
#ifndef LOCAL
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#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 long double ld;

#define int long long

const int N = 5e4;
const int K = 50;

int n, k;
int X[N];
int Y[N];
int C[N];

int ids[N];
pair<int, int> block[N];
set<int> by_block[N];

int used[N];

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;
};

void dfs(int i, vector<int> &c, int mid_int) {
	c.push_back(C[i]);
	used[i] = 1;
	by_block[gt(block[i])].erase(i);
	for (int dx = -1; dx <= 1; dx++) {
		for (int dy = -1; dy <= 1; dy++) {
			int bl_id = gt({block[i].first + dx, block[i].second + dy});
			if (bl_id == -1) continue;
			set<int> bc = by_block[bl_id];
			for (auto other : bc) {
				if (!used[other] && (X[i] - X[other]) * (X[i] - X[other]) + (Y[i] - Y[other]) * (Y[i] - Y[other]) <= mid_int) {
					dfs(other, c, mid_int);
				}
			}
		}
	}
}

int dp[N][K];

bool solve(vector<int> c) {
	for (int i = 0; i <= (int)c.size(); i++) {
		for (int j = 0; j < k; j++) {
			dp[i][j] = -N;
		}
	}
	dp[0][0] = 0;
	for (int i = 0; i < (int)c.size(); i++) {
		for (int j = 0; j < k; j++) {
			if (dp[i][j] == -N) continue;
			dp[i + 1][(j + c[i]) % k] = max(dp[i + 1][(j + c[i]) % k], dp[i][j] + 1); 
			dp[i + 1][j] = max(dp[i + 1][j], dp[i][j]);
		}
	}
	return dp[(int)c.size()][0] > 0;
}

bool check(int mid_int) {
	ld mid = sqrt(mid_int);
	for (int i = 0; i < n; i++) {
		by_block[i].clear();
		ids[i] = i;
	}
	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]);
	}
	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 >= 4 * k) {
			return true;
		}
		i = r;
	}
	sort(seen.begin(), seen.end());
	seen.resize(unique(seen.begin(), seen.end()) - seen.begin());
	for (int i = 0; i < n; i++) {
		by_block[gt(block[i])].insert(i);
	}
	int ans = 0;
	fill(used, used + n, 0);
	for (int i = 0; i < n; i++) {
		if (!used[i]) {
			vector<int> c;
			dfs(i, c, mid_int);
			ans |= solve(c);
		}
	}
	return (bool)ans;
}

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];
	}
	int l = 0;
	int r = 4e18 + 239;
	while (r - l > 1) {
		int m = (r + l) >> 1;
		if (check(m)) {
			r = m;
		} else {
			l = m;
		}
	}
	cout << fixed << setprecision(3);
	cout << sqrt(r) << endl;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 2816 KB Output is correct
2 Correct 6 ms 2688 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 2688 KB Output is correct
2 Correct 8 ms 2688 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 2816 KB Output is correct
2 Correct 28 ms 4224 KB Output is correct

Subtask #4
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 2688 KB Output is correct
2 Correct 31 ms 3584 KB Output is correct

Subtask #5
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 2688 KB Output is correct
2 Correct 28 ms 3712 KB Output is correct

Subtask #6
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 2816 KB Output is correct
2 Correct 33 ms 4736 KB Output is correct

Subtask #7
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 2688 KB Output is correct
2 Correct 30 ms 4224 KB Output is correct

Subtask #8
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 2688 KB Output is correct
2 Correct 25 ms 3584 KB Output is correct

Subtask #9
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 2816 KB Output is correct
2 Correct 872 ms 21876 KB Output is correct

Subtask #10
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 2688 KB Output is correct
2 Runtime error 202 ms 65540 KB Execution killed with signal 9 (could be triggered by violating memory limits)

Subtask #11
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 2816 KB Output is correct
2 Runtime error 204 ms 65540 KB Execution killed with signal 9 (could be triggered by violating memory limits)

Subtask #12
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 2688 KB Output is correct
2 Runtime error 249 ms 65540 KB Execution killed with signal 9 (could be triggered by violating memory limits)

Subtask #13
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 2816 KB Output is correct
2 Runtime error 266 ms 65540 KB Execution killed with signal 9 (could be triggered by violating memory limits)

Subtask #14
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 2688 KB Output is correct
2 Runtime error 268 ms 65540 KB Execution killed with signal 9 (could be triggered by violating memory limits)

Subtask #15
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 2688 KB Output is correct
2 Execution timed out 1091 ms 38492 KB Time limit exceeded

Subtask #16
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 2816 KB Output is correct
2 Execution timed out 1091 ms 46848 KB Time limit exceeded

Subtask #17
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 2816 KB Output is correct
2 Execution timed out 1091 ms 42220 KB Time limit exceeded

Subtask #18
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 2688 KB Output is correct
2 Execution timed out 1091 ms 42352 KB Time limit exceeded

Subtask #19
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 2816 KB Output is correct
2 Runtime error 286 ms 65536 KB Execution killed with signal 11 (could be triggered by violating memory limits)

Subtask #20
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 2688 KB Output is correct
2 Execution timed out 1099 ms 40812 KB Time limit exceeded