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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#134338 | #2290. Kinking Cables | mshcherba# | RE | 1ms | 3928kb | C++17 | 3.6kb | 2023-08-03 17:23:17 | 2023-08-03 17:23:19 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define SZ(a) (int)a.size()
#define ALL(a) a.begin(), a.end()
#define FOR(i, a, b) for (int i = (a); i<(b); ++i)
#define RFOR(i, b, a) for (int i = (b)-1; i>=(a); --i)
#define MP make_pair
#define PB push_back
#define F first
#define S second
#define FILL(a, b) memset(a, b, sizeof(a))
typedef long long LL;
typedef pair<int, int> PII;
typedef vector<int> VI;
typedef long double db;
const db EPS = 1e-9;
struct Point {
db x, y;
Point() {}
Point(db _x, db _y): x(_x), y(_y) {}
Point operator+(const Point& p) const {
return {x + p.x, y + p.y};
}
Point operator-(const Point& p) const {
return {x - p.x, y - p.y};
}
db operator*(const Point& p) const {
return x * p.y - p.x * y;
}
db d2() const {
return x * x + y * y;
}
db len() const {
return sqrt(d2());
}
Point scale(db l) const {
l /= len();
return Point(x * l, y * l);
}
};
int main()
{
ios::sync_with_stdio(false);
cin.tie(0);
cout << fixed << setprecision(10);
int n, m;
db l;
cin >> n >> m >> l;
bool sw = n > m;
if (sw) {
swap(n, m);
}
db l0 = l;
Point p(0, 0), last(n, m);
vector<Point> ans = {{0, 0}};
vector<int> ys(m);
iota(ALL(ys), 0);
FOR(i, 0, n) {
for (int j : ys) {
if (l < -1) {
break;
}
Point cur(i, j);
if ((Point(n, m - 1) - p).len() + 1 < l + EPS && (Point(n, 0) - p).len() + m > l - EPS) {
cerr << "a" << endl;
double low = 0, high = m - 1;
FOR(it, 0, 74) {
double mid = (low + high) / 2;
if ((Point(n, mid) - p).len() + m - mid < l) {
high = mid;
}
else {
low = mid;
}
}
ans.emplace_back(n, low);
ans.emplace_back(last);
l = -47;
}
else if ((Point(n - 1, m) - p).len() + 1 < l + EPS && (Point(i, m) - p).len() + n > l - EPS) {
cerr << "b" << endl;
double low = i, high = n - 1;
FOR(it, 0, 74) {
double mid = (low + high) / 2;
if ((Point(mid, m) - p).len() + n - mid < l) {
high = mid;
}
else {
low = mid;
}
}
ans.emplace_back(low, m);
ans.emplace_back(last);
l = -47;
}
else if ((cur - p).len() + (last - cur).len() < l + EPS) {
l -= (cur - p).len();
p = cur;
ans.push_back(p);
}
else {
cerr << "c" << endl;
Point mid = p + last;
mid.x /= 2;
mid.y /= 2;
Point v(p.y - last.y, last.x - p.x);
db len = sqrt(max((db)0, l * l - (last - p).d2())) / 2;
ans.push_back(mid + v.scale(len));
if (ans.back().x < -EPS || ans.back().x > n + EPS || ans.back().y < -EPS || ans.back().y > m + EPS) {
cerr << ans.back().x << " " << ans.back().y << endl;
ans.pop_back();
ans.push_back(mid - v.scale(len));
}
ans.push_back(last);
l = -47;
}
}
reverse(ALL(ys));
}
vector<Point> newAns;
for (const Point & pi : ans) {
if (SZ(newAns) > 1 && abs((newAns.back() - newAns[SZ(newAns) - 2]) * (pi - newAns.back())) / (pi - newAns.back()).len() < EPS) {
newAns.pop_back();
}
newAns.push_back(pi);
}
ans = newAns;
cout << SZ(ans) << "\n";
for (Point& pi : ans) {
assert(pi.x > -EPS && pi.x < n + EPS && pi.y > -EPS && pi.y < m + EPS);
if (sw) {
swap(pi.x, pi.y);
}
cout << pi.x << " " << pi.y << "\n";
}
db ul = 0;
FOR(i, 0, SZ(ans) - 1) {
ul += (ans[i + 1] - ans[i]).len();
}
assert(abs(ul - l0) / l0 < 1e-6);
FOR(i, 0, SZ(ans)) {
FOR(j, 0, i) {
assert((ans[j] - ans[i]).len() > 1 - EPS);
}
}
assert(SZ(ans) <= 500);
cerr << ul << endl;
return 0;
}
详细
Test #1:
score: 100
Accepted
time: 1ms
memory: 3928kb
input:
79 78 1980.7712136406
output:
48 0.0000000000 0.0000000000 78.0000000000 0.0000000000 78.0000000000 1.0000000000 0.0000000000 1.0000000000 0.0000000000 2.0000000000 78.0000000000 2.0000000000 78.0000000000 3.0000000000 0.0000000000 3.0000000000 0.0000000000 4.0000000000 78.0000000000 4.0000000000 78.0000000000 5.0000000000 0.000...
result:
ok correct
Test #2:
score: 0
Accepted
time: 1ms
memory: 3900kb
input:
33 65 1947.7601065763
output:
60 0.0000000000 0.0000000000 0.0000000000 64.0000000000 1.0000000000 64.0000000000 1.0000000000 0.0000000000 2.0000000000 0.0000000000 2.0000000000 64.0000000000 3.0000000000 64.0000000000 3.0000000000 0.0000000000 4.0000000000 0.0000000000 4.0000000000 64.0000000000 5.0000000000 64.0000000000 5.000...
result:
ok correct
Test #3:
score: 0
Accepted
time: 1ms
memory: 3888kb
input:
51 51 555.0803652025
output:
20 0.0000000000 0.0000000000 0.0000000000 50.0000000000 1.0000000000 50.0000000000 1.0000000000 0.0000000000 2.0000000000 0.0000000000 2.0000000000 50.0000000000 3.0000000000 50.0000000000 3.0000000000 0.0000000000 4.0000000000 0.0000000000 4.0000000000 50.0000000000 5.0000000000 50.0000000000 5.000...
result:
ok correct
Test #4:
score: 0
Accepted
time: 1ms
memory: 3664kb
input:
49 2 67.3588717350
output:
4 0.0000000000 0.0000000000 10.0000000000 0.0000000000 0.9295032889 2.0000000000 49.0000000000 2.0000000000
result:
ok correct
Test #5:
score: -100
Dangerous Syscalls
input:
37 48 1713.3643608504