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E - Guard Towers

https://codeforces.com/contest/85/submission/187929986
This commit is contained in:
Baoshuo Ren 2023-01-04 21:56:48 +08:00
parent a18fa4003b
commit 175c18ad04
Signed by: baoshuo
GPG Key ID: 00CB9680AB29F51A

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Codeforces/85/E/E.cpp Normal file
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#include <iostream>
#include <algorithm>
#include <cmath>
#include <iterator>
#include <utility>
#include <vector>
using std::cin;
using std::cout;
const char endl = '\n';
const int N = 1e4 + 5;
const int mod = 1e9 + 7;
int n, color[N], ans;
std::pair<int, int> points[N];
int dis(int i, int j) {
return std::abs(points[i].first - points[j].first) + std::abs(points[i].second - points[j].second);
}
bool dfs(int u, int c, int limit) {
color[u] = c;
for (int v = 1; v <= n; v++) {
if (v == u || dis(u, v) <= limit) continue;
if (color[v] == -1) {
if (!dfs(v, c ^ 1, limit)) return false;
} else if (color[v] == color[u]) {
return false;
}
}
return true;
}
bool check(int x) {
std::fill(std::begin(color), std::end(color), -1);
int cnt = 0;
for (int i = 1; i <= n; i++) {
if (color[i] == -1) {
cnt++;
if (!dfs(i, 1, x)) return false;
}
}
ans = cnt;
return true;
}
int binpow(int a, int b) {
int res = 1;
while (b) {
if (b & 1) res = static_cast<long long>(res) * a % mod;
a = static_cast<long long>(a) * a % mod;
b >>= 1;
}
return res;
}
int main() {
std::ios::sync_with_stdio(false);
cin.tie(nullptr);
cin >> n;
for (int i = 1; i <= n; i++) {
cin >> points[i].first >> points[i].second;
}
int l = 0,
r = 10000,
res = 0;
while (l <= r) {
int mid = (l + r) >> 1;
if (check(mid)) {
res = mid;
r = mid - 1;
} else {
l = mid + 1;
}
}
cout << res << endl
<< binpow(2, ans) << endl;
return 0;
}