# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
475223 | khr03ae | Circle selection (APIO18_circle_selection) | C++14 | 254 ms | 24948 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
typedef long long i64;
const int MAX = 3e5 + 9;
int N, par[MAX];
bool removed[MAX];
struct Circle {
i64 x, y;
i64 radius;
int index;
} circles[MAX], sweep[MAX];
pair<int, int> seg[MAX];
bool cmpX(Circle& a, Circle& b) {
if (a.x == b.x) return a.radius > b.radius;
return a.x < b.x;
}
bool intercept(Circle& a, Circle& b) {
i64 dx = a.x - b.x;
i64 dy = a.y - b.y;
i64 dist2 = dx * dx * 1LL + dy * dy * 1LL;
i64 r2 = (a.radius * 1LL + b.radius * 1LL) * (a.radius * 1LL + b.radius * 1LL) * 1LL;
if (dist2 <= r2) {
return true;
} else {
return false;
}
}
bool cmp(Circle& a, Circle& b) {
if (a.radius == b.radius)
return a.x < b.x;
return a.radius > b.radius;
}
int main() {
scanf("%d", &N);
for (int i = 0; i < N; ++i) {
scanf("%lld%lld%lld", &circles[i].x, &circles[i].y, &circles[i].radius);
circles[i].index = i;
}
for (int i = 0; i < N; ++i)
sweep[i] = circles[i];
sort(sweep, sweep + N, cmpX);
int j = 0;
for (int i = 1; i < N; ++i) {
if (!intercept(sweep[i], sweep[j])) {
for (int k = j; k < i; ++k) {
int u = sweep[k].index;
seg[u].first = j;
}
j = i;
}
}
for (int i = j; i < N; ++i) {
int u = sweep[i].index;
seg[u].first = j;
}
j = 1;
for (int i = 0; i < N; ++i) {
while (j < N && intercept(sweep[i], sweep[j])) {
j += 1;
}
int u = sweep[i].index;
seg[u].second = j - 1;
}
sort(circles, circles + N, cmp);
for (int i = 0; i < N; ++i)
removed[i] = false;
for (int i = 0; i < N; ++i) {
int u = circles[i].index;
if (removed[u])
continue;
par[u] = u;
for (int j = seg[u].first; j <= seg[u].second; ++j) {
int v = sweep[j].index;
if (removed[v])
continue;
par[v] = u;
removed[v] = true;
}
removed[u] = true;
}
for (int i = 0; i < N; ++i) {
printf("%d ", par[i] + 1);
}
printf("\n");
}
Compilation message (stderr)
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