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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
#815164#9880. Origami Warpucup-team3734#WA 218ms3836kbC++233.4kb2024-12-15 06:06:232024-12-15 06:06:25

Judging History

你现在查看的是最新测评结果

  • [2024-12-15 06:06:25]
  • 评测
  • 测评结果:WA
  • 用时:218ms
  • 内存:3836kb
  • [2024-12-15 06:06:23]
  • 提交

answer

#include "bits/stdc++.h"

using namespace std;

using ll = long long;
using ld = long double;

#define all(x) (x).begin(), (x).end()
#define x first
#define y second

using pt = pair<ll, ll>;

pt operator-(const pt &lhs, const pt &rhs) {
  return pt{lhs.x - rhs.x, lhs.y - rhs.y};
}

ll norm(const pt &p) {
  return p.x * p.x + p.y * p.y;
}

pt read_pt() {
  pt res;
  cin >> res.x >> res.y;
  return res;
}

ll gcd(ll x, ll y) {
  x = abs(x);
  y = abs(y);
  while (x) {
    y %= x;
    swap(x, y);
  }
  return y;
}

struct Line {
  pt a, b;

  void normalize() {
    b = a - dir();
  }

  pt dir() const {
    pt d = a - b;
    ll g = gcd(d.x, d.y);
    d.x /= g;
    d.y /= g;

    if (d.x < 0) {
      d.x *= -1;
      d.y *= -1;
    }

    if (d.x == 0 && d.y < 0) {
      d.y *= -1;
    }

    return d;
  }

  ll type() const {
    pt d = dir();
    if (d == pt{1, 0})
      return 0;
    else if (d == pt{0, 1})
      return 1;
    else if (d == pt{1, 1})
      return 2;
    else if (d == pt{1, -1})
      return 3;
    else
      return 4;
  }

  ll ord() const {
    int t = type();
    assert(t < 4);

    if (t == 0)
      return a.y;

    if (t == 1)
      return a.x;

    if (t == 2)
      return a.x - a.y;

    if (t == 3)
      return a.x + a.y;
  }

  bool have_origin() const {
    return a.x * b.y - a.y * b.x == 0;
  }

  pt sym(const pt &p) const {
    assert(type() < 4);
    pt d = b - a;
    ll d_norm = norm(d);
    pt ap = p - a;
    ll proj_scalar = (ap.x * d.x + ap.y * d.y);
    pt nearest = {2 * a.x + 2 * d.x * proj_scalar / d_norm, 2 * a.y + 2 * d.y * proj_scalar / d_norm};
    return {nearest.x - p.x, nearest.y - p.y};
  }
};

Line read_line() {
  Line res;
  res.a = read_pt();
  res.b = read_pt();
  return res;
}

int n;
vector<Line> ls[5];
vector<ll> ds[5];
ll g[5], common_g;
bool all_origin;

void read() {
  for (int i = 0; i < 5; ++i) {
    ls[i].clear();
    ds[i].clear();
    g[i] = 0;
  }
  common_g = 0;
  all_origin = true;

  cin >> n;
  for (int i = 0; i < n; ++i) {
    auto l = read_line();
    l.normalize();
    ls[l.type()].push_back(l);

    all_origin &= l.have_origin();

    if (l.type() < 4)
      ds[l.type()].push_back(l.ord());
  }

  for (int i = 0; i < 4; ++i)
    if (ls[i].size() >= 2) {
      for (int j = 0; j + 1 < ls[i].size(); ++j)
        g[i] = gcd(g[i], ls[i][j].ord() - ls[i][j + 1].ord());
    }

  for (int i = 0; i < 4; ++i)
    common_g = gcd(common_g, g[i]);
}

int bit(int mask, int k) {
  return (mask >> k) & 1;
}

bool comp(ll x, ll g) {
  if (g == 0)
    return x == 0;
  return x % g == 0;
}

bool is_reachable(pt a, pt b) {
  if (!ls[4].empty()) {
    if (all_origin) {
      return norm(a) == norm(b);
    } else {
      return true;
    }
  }

  for (int mask = 0; mask < 16; ++mask) {
    pt cur = a;
    for (int k = 0; k < 4; ++k)
      if (bit(mask, k) && !ls[k].empty())
        cur = ls[k].front().sym(cur);

    pt diff = b - cur;

    if (ls[2].empty() && ls[3].empty()) {
      if (comp(diff.x, g[0]) && comp(diff.y, g[1]))
        return true;
    } else {
      if (comp(diff.x, common_g) && comp(diff.y, common_g))
        return true;
    }
  }

  return false;
}

void solve() {
  int q;
  cin >> q;
  while (q--) {
    pt a = read_pt();
    pt b = read_pt();

    cout << (is_reachable(a, b) ? "Yes" : "No") << "\n";
  }
}

int main() {
#ifndef ONLINE_JUDGE
  freopen("f.txt", "r", stdin);
#endif
  ios_base::sync_with_stdio(false);

  int t;
  cin >> t;
  while (t--) {
    read();
    solve();
  }

  return 0;
}

详细

Test #1:

score: 100
Accepted
time: 0ms
memory: 3556kb

input:

2
3
0 0 1 0
0 0 0 1
0 2 2 0
4
1 0 2 3
1 -2 -1 2
1 1 -1 0
3 3 3 3
3
0 0 1 0
0 0 0 1
-2 1 2 3
2
2 1 -1 5
-1 -1 3 3

output:

Yes
Yes
No
Yes
Yes
Yes

result:

ok 6 token(s): yes count is 5, no count is 1

Test #2:

score: 0
Accepted
time: 12ms
memory: 3836kb

input:

10
550
0 0 1 0
0 0 0 1
1070451 -76747419 -475756 34109964
39212129 -40187389 32082651 -32880591
-42770825 49053520 -51324990 58864224
301020 -10533714 602040 -21067428
-55137616 74952624 -24122707 32791773
1629975 -29851650 -478126 8756484
80523100 20960200 -77302176 -20121792
-64028006 61179727 -18...

output:

Yes
No
No
Yes
Yes
No
Yes
No
Yes
No
No
Yes
Yes
Yes
Yes
Yes
No
Yes
No
No
Yes
Yes
Yes
No
Yes
No
No
Yes
Yes
Yes
Yes
No
Yes
No
No
No
No
No
Yes
Yes
No
No
No
Yes
Yes
Yes
No
No
No
No
No
No
Yes
Yes
Yes
Yes
Yes
No
No
Yes
Yes
Yes
No
Yes
Yes
Yes
Yes
No
Yes
No
Yes
Yes
Yes
No
No
Yes
Yes
Yes
No
No
No
Yes
No
Yes
Ye...

result:

ok 12244 token(s): yes count is 6128, no count is 6116

Test #3:

score: 0
Accepted
time: 218ms
memory: 3696kb

input:

100
2000
0 0 1 0
0 0 0 1
-84998108 27087723 -78459792 25004052
-63732795 -93286980 29741971 43533924
88160702 10753904 -94457895 -11522040
-57759240 -99131840 25991658 44609328
-35408095 31386545 -92061047 81605017
21178080 37382229 32943680 58150134
-57187533 84956404 -17596164 26140432
38432164 17...

output:

No
No
No
Yes
Yes
Yes
No
Yes
No
No
Yes
No
No
No
Yes
No
No
Yes
No
Yes
No
No
No
No
No
No
Yes
No
Yes
No
Yes
Yes
Yes
Yes
No
No
No
Yes
Yes
No
Yes
Yes
Yes
Yes
Yes
No
Yes
No
Yes
No
Yes
Yes
No
Yes
No
Yes
Yes
No
No
Yes
Yes
Yes
Yes
No
No
No
Yes
No
No
No
Yes
Yes
No
No
No
No
No
No
No
No
No
No
No
No
Yes
Yes
Yes
N...

result:

ok 200000 token(s): yes count is 100141, no count is 99859

Test #4:

score: -100
Wrong Answer
time: 133ms
memory: 3772kb

input:

90
1025
0 0 1 0
0 0 0 1
-8716657 -748858 12990792 -22456307
-13593063 -23283552 -46628353 -23283552
93002789 28574481 93002789 78693002
-16042487 47828662 -30013237 61799412
43359811 68260568 43359811 -75987953
-94388305 52022201 -94388305 8537759
-6363687 -1383673 -6363687 -20211179
-29739675 -2602...

output:

Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
...

result:

wrong answer expected NO, found YES [2nd token]