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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 |
|---|---|---|---|---|---|---|---|---|---|
| #325772 | #3184. Around the Track | crimson231 | WA | 1ms | 4028kb | C++20 | 7.1kb | 2024-02-11 22:17:24 | 2024-02-11 22:17:24 |
Judging History
answer
#include <iostream>
#include <algorithm>
#include <vector>
#include <queue>
#include <cmath>
#include <cstring>;
typedef long long ll;
//typedef long double ld;
typedef double ld;
const ld TOL = 1e-8;
const ld INF = 1e17;
const int LEN = 50;
int N, M, t;
ld G[LEN << 1][LEN << 1];
bool V[LEN];
struct Info {
int i;
ld c;
bool operator < (const Info& x) const { return c > x.c; }
};
bool z(const ld& x) { return std::abs(x) < TOL; }
struct Pos {
ld x, y;
int i;
Pos(ld X = 0, ld Y = 0, int I = 0) : x(X), y(Y), i(I) {}
bool operator == (const Pos& p) const { return z(x - p.x) && z(y - p.y); }
bool operator < (const Pos& p) const { return z(x - p.x) ? y < p.y : x < p.x; }
Pos operator + (const Pos& p) const { return { x + p.x, y + p.y, i }; }
Pos operator - (const Pos& p) const { return { x - p.x, y - p.y, i }; }
Pos operator * (const ld& n) const { return { x * n, y * n, i }; }
Pos operator / (const ld& n) const { return { x / n, y / n, i }; }
ld operator * (const Pos& p) const { return { x * p.x + y * p.y }; }
ld operator / (const Pos& p) const { return { x * p.y - y * p.x }; }
Pos operator ~ () const { return { -y, x, i }; }
ld operator ! () const { return x * y; }
Pos& operator += (const Pos& p) { x += p.x; y += p.y; return *this; }
Pos& operator *= (const ld& scale) { x *= scale; y *= scale; return *this; }
ld mag() const { return hypot(x, y); }
} inner[LEN], outer[LEN], nodes[LEN << 1];
std::vector<Pos> C, H;
ld cross(const Pos& d1, const Pos& d2, const Pos& d3) { return (d2 - d1) / (d3 - d2); }
ld dot(const Pos& d1, const Pos& d2, const Pos& d3) { return (d2 - d1) * (d3 - d2); }
int ccw(const Pos& d1, const Pos& d2, const Pos& d3) {
ld ret = cross(d1, d2, d3);
return z(ret) ? 0 : ret > 0 ? 1 : -1;
}
bool on_seg_strong(const Pos& d1, const Pos& d2, const Pos& d3) {
ld ret = dot(d1, d3, d2);
return !ccw(d1, d2, d3) && (ret > 0 || z(ret));
}
bool on_seg_weak(const Pos& d1, const Pos& d2, const Pos& d3) {
ld ret = dot(d1, d3, d2);
return !ccw(d1, d2, d3) && ret > 0;
}
bool inner_check(Pos H[], const int& sz, const Pos& p) {
int cnt = 0;
for (int i = 0; i < sz; i++) {
Pos cur = H[i], nxt = H[(i + 1) % sz];
if (on_seg_strong(cur, nxt, p)) return 1;
if (z(cur.y - nxt.y)) continue;
if (nxt.y < cur.y) std::swap(cur, nxt);
if (nxt.y - TOL < p.y || cur.y > p.y) continue;
cnt += ccw(cur, nxt, p) > 0;
}
return cnt & 1;
}
bool intersect(const Pos& s1, const Pos& s2, const Pos& d1, const Pos& d2) {
bool f1 = ccw(s1, s2, d1) * ccw(s2, s1, d2) > 0;
bool f2 = ccw(d1, d2, s1) * ccw(d2, d1, s2) > 0;
//bool f3 = on_seg_strong(s1, s2, p1) ||
// on_seg_strong(s1, s2, p2) ||
// on_seg_strong(p1, p2, s1) ||
// on_seg_strong(p1, p2, s2);
return (f1 && f2);// || f3;
}
bool blocked(const Pos& s1, const Pos& s2, const Pos& d1, const Pos& d2) {
bool f0 = intersect(s1, s2, d1, d2);
bool f4 = on_seg_weak(s1, s2, d1) || on_seg_weak(s1, s2, d2);
return f0 || f4;
}
bool blocked(Pos H[], const int& sz, const Pos& s1, const Pos& s2) {
for (int i = 0; i < sz; i++) if (blocked(s1, s2, H[i], H[(i + 1) % sz])) return 1;
return 0;
}
void monotone_chain(std::vector<Pos>& C, std::vector<Pos>& H) {
std::sort(C.begin(), C.end());
if (C.size() <= 2) {
for (const Pos& p : C) H.push_back(p);
return;
}
for (int i = 0; i < C.size(); i++) {
while (H.size() > 1 && (cross(H[H.size() - 2], H[H.size() - 1], C[i]) < 0 || z(cross(H[H.size() - 2], H[H.size() - 1], C[i])))) {
H.pop_back();
}
H.push_back(C[i]);
}
H.pop_back();
int s = H.size() + 1;
for (int i = C.size() - 1; i >= 0; i--) {
while (H.size() > s && (cross(H[H.size() - 2], H[H.size() - 1], C[i]) < 0 || z(cross(H[H.size() - 2], H[H.size() - 1], C[i])))) {
H.pop_back();
}
H.push_back(C[i]);
}
H.pop_back();
return;
}
void floyd_warshall() {
//for (int k = 0; k < t; k++) {
// for (int i = 0; i < t; i++) {
// for (int j = 0; j < t; j++) {
// G[i][j] = std::min(G[i][k] + G[k][j], G[i][j]);
// }
// }
//}
for (int k = 0; k < t; k++) {
for (int i = 0; i < t; i++) {
for (int j = i + 1; j < t; j++) {
if (k != i && k != j) {
G[i][j] = std::min(G[i][k] + G[k][j], G[i][j]);
G[j][i] = std::min(G[j][k] + G[k][i], G[j][i]);
}
}
}
}
return;
}
bool connectable(const int& i, const int& j) {
return !blocked(outer, M, nodes[i], nodes[j])
&& !blocked(inner, N, nodes[i], nodes[j])
&& inner_check(outer, M, (nodes[i] + nodes[j]) * .5)
&& !inner_check(inner, N, (nodes[i] + nodes[j]) * .5);
}
void init() {
std::cin.tie(0)->sync_with_stdio(0);
std::cout.tie(0);
std::cout << std::fixed;
std::cout.precision(9);
t = 0;
std::cin >> N;
for (int i = 0; i < N; i++) {
std::cin >> inner[i].x >> inner[i].y;
inner[i].i = t;
nodes[t] = inner[i];
t++;
}
std::cin >> M;
for (int j = 0; j < M; j++) {
std::cin >> outer[j].x >> outer[j].y;
outer[j].i = t;
nodes[t] = outer[j];
t++;
}
C.resize(N);
for (int i = 0; i < N; i++) C[i] = inner[i];
monotone_chain(C, H);
return;
}
void solve() {
Pos seg;
for (int i = 0; i < t; i++) for (int j = 0; j < t; j++) G[i][j] = INF;
for (int i = 0; i < N; i++) {
G[i][(i + 1) % N] = (inner[i] - inner[(i + 1) % N]).mag();
G[(i + 1) % N][i] = (inner[i] - inner[(i + 1) % N]).mag();
}
for (int i = 0; i < t; i++) {
G[i][i] = 0l;
for (int j = i + 1; j < t; j++) {
if (connectable(i, j)) {
seg = nodes[i] - nodes[j];
G[i][j] = seg.mag();
G[j][i] = seg.mag();
}
}
}
floyd_warshall();
int sz = H.size();
ld length = 0;
for (int i = 0; i < sz; i++) {
Pos cur = H[i], nxt = H[(i + 1) % sz];
if (!blocked(outer, M, cur, nxt)) length += (cur - nxt).mag();
else length += G[cur.i][nxt.i];
}
std::cout << length << "\n";
//for (int i = 0; i < t; i++) {
// for (int j = 0; j < t; j++) {
// std::cout << G[i][j] << " ";
// }
// std::cout << "\n";
//}
//std::cout << G[3][6] << " " << G[3][4 + N] << " " << G[4 + N][6 + N] << "\n";
//std::cout << G[6 + N][10 + N] << " " << G[10 + N][12 + N];
return;
}
int main() { init(); solve(); return 0; }//boj10518
/*
8
1 1
15 1
15 7
14 7
14 2
2 2
2 7
1 7
15
0 0
16 0
16 8
13 8
12 4
11 6
10 3
9 6
8 5
7 6
6 3
5 6
4 4
3 8
0 8
*/
//void solve() {
// Pos seg;
// for (int i = 0; i < t; i++) for (int j = 0; j < t; j++) G[i][j] = INF;
// for (int i = 0; i < t; i++) {
// G[i][i] = 0l;
// for (int j = i + 1; j < t; j++) {
// //if (!blocked(outer, M, nodes[i], nodes[j]) &&
// // !blocked(inner, N, nodes[i], nodes[j]) &&
// // inner_check(outer, M, (nodes[i] + nodes[j]) * .5) &&
// // !inner_check(inner, N, (nodes[i] + nodes[j]) * .5)) {
// if (connectable(i, j)) {
// seg = nodes[i] - nodes[j];
// G[i][j] = seg.mag();
// G[j][i] = seg.mag();
// }
// }
// }
// floyd_warshall();
// int sz = H.size();
// ld cost = 0;
// for (int i = 0; i < sz; i++) {
// Pos cur = H[i], nxt = H[(i + 1) % sz];
// if (!blocked(outer, M, cur, nxt)) cost += (cur - nxt).mag();
// else cost += G[cur.i][nxt.i];
// }
// std::cout << cost << "\n";
// return;
//}
詳細信息
Test #1:
score: 100
Accepted
time: 1ms
memory: 4020kb
input:
3 1 1 2 1 1 2 3 0 0 4 0 0 4
output:
3.414213562
result:
ok found '3.4142136', expected '3.4142136', error '0.0000000'
Test #2:
score: 0
Accepted
time: 1ms
memory: 3960kb
input:
5 1 1 5 1 5 5 3 3 1 5 4 0 0 6 0 6 6 0 6
output:
16.000000000
result:
ok found '16.0000000', expected '16.0000000', error '0.0000000'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3908kb
input:
5 1 1 5 1 5 5 3 3 1 5 5 0 0 6 0 6 6 3 4 0 6
output:
16.472135955
result:
ok found '16.4721360', expected '16.4721360', error '0.0000000'
Test #4:
score: 0
Accepted
time: 0ms
memory: 3948kb
input:
5 2 2 6 2 6 6 4 4 2 6 4 0 0 8 0 8 8 0 8
output:
16.000000000
result:
ok found '16.0000000', expected '16.0000000', error '0.0000000'
Test #5:
score: 0
Accepted
time: 0ms
memory: 3852kb
input:
5 2 2 6 2 6 6 4 4 2 6 5 0 0 8 0 8 8 4 5 0 8
output:
16.472135955
result:
ok found '16.4721360', expected '16.4721360', error '0.0000000'
Test #6:
score: 0
Accepted
time: 1ms
memory: 3852kb
input:
12 1 1 1 4 -1 4 -1 1 -4 1 -4 -1 -1 -1 -1 -4 1 -4 1 -1 4 -1 4 1 12 2 2 2 5 -2 5 -2 2 -5 2 -5 -2 -2 -2 -2 -5 2 -5 2 -2 5 -2 5 2
output:
25.888543820
result:
ok found '25.8885438', expected '25.8885438', error '0.0000000'
Test #7:
score: 0
Accepted
time: 1ms
memory: 3776kb
input:
8 1 1 15 1 15 7 14 7 14 2 2 2 2 7 1 7 15 0 0 16 0 16 8 13 8 12 4 11 6 10 3 9 6 8 5 7 6 6 3 5 6 4 4 3 8 0 8
output:
43.683238506
result:
ok found '43.6832385', expected '43.6832385', error '0.0000000'
Test #8:
score: 0
Accepted
time: 1ms
memory: 3844kb
input:
8 1 1 15 1 15 7 14 7 14 2 2 2 2 7 1 7 15 0 0 16 0 16 8 13 8 12 4 11 8 10 3 9 8 8 5 7 8 6 3 5 8 4 4 3 8 0 8
output:
43.683238506
result:
ok found '43.6832385', expected '43.6832385', error '0.0000000'
Test #9:
score: 0
Accepted
time: 1ms
memory: 4028kb
input:
8 1 1 15 1 15 7 14 7 14 2 2 2 2 7 1 7 15 0 0 16 0 16 8 13 8 12 4 11 7 10 3 9 7 8 5 7 7 6 3 5 7 4 4 3 8 0 8
output:
43.683238506
result:
ok found '43.6832385', expected '43.6832385', error '0.0000000'
Test #10:
score: 0
Accepted
time: 1ms
memory: 3960kb
input:
12 1 1 10 1 10 6 9 6 9 2 6 2 6 4 5 4 5 2 2 2 2 6 1 6 12 0 0 11 0 11 7 8 7 8 3 7 3 7 5 4 5 4 3 3 3 3 7 0 7
output:
33.152982445
result:
ok found '33.1529824', expected '33.1529824', error '0.0000000'
Test #11:
score: -100
Wrong Answer
time: 1ms
memory: 3916kb
input:
7 1 1 5 1 5 19 4 2 3 18 2 2 1 19 9 0 0 6 0 6 20 5 20 4 3 3 19 2 3 1 20 0 20
output:
80.000000000
result:
wrong answer 1st numbers differ - expected: '102.1290318', found: '80.0000000', error = '0.2166772'