Submission #260159

# Submission time Handle Problem Language Result Execution time Memory
260159 2020-08-09T12:16:19 Z tincamatei Printed Circuit Board (CEOI12_circuit) C++14
35 / 100
100 ms 11108 KB
#include <bits/stdc++.h>

const int MAX_N = 100000;

struct Fraction {
  int a, b;

  Fraction() {
    a = 0;
    b = 1;
  }

  Fraction(int _a, int _b) {
    a = _a;
    b = _b;
    if(b < 0) {
      a = -a;
      b = -b;
    }
  }

  bool operator== (const Fraction x) const {
    return (long long)a * x.b == (long long)b * x.a;
  }

  bool operator< (const Fraction x) const {
    return (long long)a * x.b < b * x.a;
  }

  bool operator!= (const Fraction x) const {
    return !(*this == x);
  }
};

struct Point {
  int x, y;
  Fraction slope;
} points[MAX_N];
bool marked[MAX_N];

static inline long long detarea(int a, int b) {
  return (long long)points[a].x * points[b].y - (long long)points[a].y * points[b].x;
}

static inline long long quadarea(int a, int b, int c, int d) {
  return detarea(a, b) + detarea(b, c) + detarea(c, d) + detarea(d, a);
}

static inline long long triarea(int a, int b, int c) {
  return detarea(a, b) + detarea(b, c) + detarea(c, a);
}

struct Segment {
  int a, b;

  bool operator< (const Segment x) const {
    if(b == x.a)
      return true;
    if(a == x.b)
      return false;
    long long area = quadarea(a, b, x.b, x.a);
    if(area == 0)
      return points[a].x < points[x.a].x;
    return area < 0; 
  }
} segments[MAX_N];

struct Event {
  Fraction t;
  int type, segmentId;
};

bool cmp(Event a, Event b) {
  return a.t < b.t || (a.t == b.t && a.type < b.type);
}

int main() {
  int N;
  scanf("%d", &N);
  for(int i = 0; i < N; ++i) {
    scanf("%d%d", &points[i].x, &points[i].y);
    points[i].slope = Fraction(points[i].y, points[i].x);
    segments[i] = {i, (i + 1) % N};
  }

  std::vector<Event> ev;

  for(int i = 0; i < N; ++i) {
    if(points[segments[i].b].slope < points[segments[i].a].slope)
      std::swap(segments[i].a, segments[i].b);
    else if(points[segments[i].b].slope == points[segments[i].a].slope &&
            points[segments[i].b].x > points[segments[i].a].x)
      std::swap(segments[i].a, segments[i].b);
      
    ev.push_back({points[segments[i].a].slope, 0, i});
    ev.push_back({points[segments[i].b].slope, 2, i});
    ev.push_back({points[i].slope, 1, i});
  }

  std::sort(ev.begin(), ev.end(), cmp);
  std::set<Segment> segs;

  Fraction last_slope;
  int best_point = -1;

  // I feel like Yandere-dev
  for(int i = 0; i < 3 * N; ++i) {
    //printf("Event: %d %d-%d\n", ev[i].type,
    //                            segments[ev[i].segmentId].a + 1,
    //                            segments[ev[i].segmentId].b + 1);
    if(ev[i].type == 0) {
      if(points[segments[ev[i].segmentId].a].slope == // Am un segment cu aceleasi pante la origine
         points[segments[ev[i].segmentId].b].slope) {
        if(points[segments[ev[i].segmentId].a].slope == last_slope) { // last_slope e updatat
          if(points[segments[ev[i].segmentId].a].x < points[best_point].x) { // vad punctul cel mai
          // aproape de origine
            best_point = segments[ev[i].segmentId].a;
          }
        } else {
          last_slope = points[segments[ev[i].segmentId].a].slope;
          best_point = segments[ev[i].segmentId].a;
        }
      } else {
        segs.insert(segments[ev[i].segmentId]);
      }
    } else if(ev[i].type == 2) {
      if(points[segments[ev[i].segmentId].a].slope != 
         points[segments[ev[i].segmentId].b].slope)
        segs.erase(segments[ev[i].segmentId]);
    } else {
      if(segs.empty()) {
        marked[best_point] = true;
      } else {
        Segment firstseg = *segs.begin();
        if(last_slope != ev[i].t) {
          last_slope = ev[i].t;
          best_point = -1;
        }

        if(points[firstseg.a].slope == last_slope &&
          (best_point == -1 || (best_point != -1 && points[firstseg.a].x < points[best_point].x)))
          best_point = firstseg.a;
        if(points[firstseg.b].slope == last_slope &&
          (best_point == -1 || (best_point != -1 && points[firstseg.b].x < points[best_point].x)))
          best_point = firstseg.b;
      
        if(best_point != -1)
          marked[best_point] = true;
      }
    }

    //printf("Debug segments:\n");
    //for(auto it: segs) {
    //  printf("[%d %d]\n", it.a + 1, it.b + 1);
    //}
  }

  //printf("??%d %d\n", segments[2] < segments[3], segments[3] < segments[2]);
  //printf("%lld\n", quadarea(segments[2].a, segments[2].b, segments[3].b, segments[3].a));
  //printf("%lld\n", quadarea(segments[2].a, segments[2].b, segments[3].a, segments[3].b));

  int res = 0;
  for(int i = 0; i < N; ++i)
    if(marked[i])
      ++res;

  printf("%d\n", res);
  for(int i = 0; i < N; ++i)
    if(marked[i])
      printf("%d ", i + 1);
	return 0;
}

Compilation message

circuit.cpp: In function 'int main()':
circuit.cpp:79:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%d", &N);
   ~~~~~^~~~~~~~~~
circuit.cpp:81:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d%d", &points[i].x, &points[i].y);
     ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 1920 KB Output isn't correct
2 Correct 3 ms 2048 KB Output is correct
3 Correct 3 ms 2304 KB Output is correct
4 Correct 6 ms 2304 KB Output is correct
5 Incorrect 11 ms 2808 KB Output isn't correct
6 Incorrect 11 ms 2808 KB Output isn't correct
7 Incorrect 19 ms 3192 KB Output isn't correct
8 Incorrect 9 ms 2680 KB Output isn't correct
9 Correct 10 ms 2680 KB Output is correct
10 Incorrect 11 ms 2680 KB Output isn't correct
11 Incorrect 13 ms 3192 KB Output isn't correct
12 Correct 20 ms 3192 KB Output is correct
13 Incorrect 33 ms 4452 KB Output isn't correct
14 Correct 42 ms 4340 KB Output is correct
15 Correct 50 ms 6512 KB Output is correct
16 Execution timed out 121 ms 10980 KB Time limit exceeded
17 Execution timed out 126 ms 11108 KB Time limit exceeded
18 Execution timed out 25 ms 2688 KB Time limit exceeded (wall clock)
19 Execution timed out 24 ms 2680 KB Time limit exceeded (wall clock)
20 Execution timed out 28 ms 2680 KB Time limit exceeded (wall clock)