This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
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#include <iostream>
#include <numeric>
#include <cmath>
#include <vector>
using namespace std;
// #define DEBUG
#ifdef DEBUG
#define dassert(x) assert(x);
#define df(...) printf(__VA_ARGS__)
#else
#define dassert(x)
#define df(...)
#endif
#define x first
#define y second
#define mp make_pair
#define pb push_back
#define ir(x, a, b) ((a) <= (x) && (x) <= (b))
#define vec vector
#define sz(x) (ll)x.size()
#define foru(i, n) for (int i = 0; (i) < (n); ++(i))
#define all(x) (x).begin(), (x).end()
typedef int64_t ll;
int read() {
int n = 0; bool b = 0; char c = getchar();
for (; !ir(c, '0', '9'); c = getchar()) b = (c == '-');
for (; ir(c, '0', '9'); c = getchar()) n = 10*n + (c-'0');
if (b) return -n;
return n;
}
struct circle {
ll x, y, r;
};
struct dsu {
int n;
vec<int> over, rank;
dsu(int n) : n(n), over(n), rank(n) {
iota(all(over), 0);
}
int find(int x) {
if (over[x] == x) return x;
return over[x] = find(over[x]);
}
void unify(int x, int y) {
if ((x = find(x)) == (y = find(y))) return;
if (rank[x] < rank[y]) swap(x, y);
over[y] = x;
if (rank[x] == rank[y]) ++rank[x];
}
};
ll ss(ll x) {
return x*x;
}
bool canplace(const vec<circle>& cs, circle c) {
for (auto cc : cs) {
if (ss(cc.x-c.x) + ss(cc.y-c.y) < ss(cc.r + c.r)) return 0;
}
return 1;
}
bool check(vec<circle> cs, ll fit, int from, int to, ll w, ll h) {
int n = cs.size();
dsu d(n+4);
for (int i = 0; i < n; ++i) {
ll x = cs[i].x, y = cs[i].y, r = cs[i].r;
if (x < fit + r) d.unify(i, n);
if (w-x < fit + r) d.unify(i, n+1);
if (y < fit + r) d.unify(i, n+2);
if (h-y < fit + r) d.unify(i, n+3);
}
for (int i = 0; i < n; ++i) {
for (int j = 0; j < i; ++j) {
ll width = fit + cs[i].r + cs[j].r;
ll d2 = ss(cs[i].x - cs[j].x) + ss(cs[i].y - cs[j].y);
if (d2 < ss(width)) {
d.unify(i, j);
}
}
}
if (to < from) swap(to, from);
--to, --from;
// 1 2 3 4
vec<int> cool = {n+2, n+1, n+3, n};
vec<int> sidea, sideb;
for (int i = 0; i < 4; ++i) {
if (from <= i && i < to) sidea.pb(cool[i]);
else sideb.pb(cool[i]);
}
// for (auto a : sidea) {
// cout << a << " ";
// }
// cout << "\n";
// for (auto b : sideb) {
// cout << b << " ";
// }
// cout << "\n";
// for (int i = 0; i < 4; ++i) {
// for (int j = 0; j < 4; ++j) {
// cout << ((d.find(n+i) == d.find(n+j)) ? '1' : '0') << ' ';
// }
// cout << "\n";
// }
for (auto a : sidea) {
for (auto b : sideb) {
if (d.find(a) == d.find(b)) return 0;
}
}
// cout << "\n";
return 1;
}
ll search(const vec<circle>& cs, int from, int to, ll w, ll h) {
ll lo = 1, hi = min(w,h)/2+10;
while (lo+1 < hi) {
ll mid = (lo+hi)/2;
if (check(cs, 2*mid, from, to, w, h)) {
lo = mid;
} else {
hi = mid;
}
}
return lo;
}
int main() {
df("debug mode\n");
#ifndef DEBUG
ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#endif
int n, m;
ll w, h;
cin >> n >> m >> w >> h;
vec<circle> cs(n);
foru (i, n) {
ll x, y, r;
cin >> x >> y >> r;
cs[i] = {x, y, r};
}
int best[5][5];
for (int i = 1; i <= 4; ++i) {
for (int j = i+1; j <= 4; ++j) {
best[i][j] = best[j][i] = search(cs, i, j, w, h);
}
}
// for (int i = 1; i <= 4; ++i) {
// for (int j = 1; j <= 4; ++j) {
// cout << best[i][j] << " ";
// }
// cout << endl;
// }
foru (i, m) {
int no, r;
cin >> r >> no;
// cout << no << " " << r << endl;
for (int i = 1; i <= 4; ++i) {
if (i == no || r <= best[no][i]) {
cout << i;
}
}
cout << "\n";
}
return 0;
}
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