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Submission #256035

# Submission time Handle Problem Language Result Execution time Memory
256035 2020-08-02T08:43:39 Z gs14004 Mixture (BOI20_mixture) C++17
100 / 100
 189 ms 6392 KB 
#include <bits/stdc++.h>
#define sz(v) ((int)(v).size())
#define all(v) (v).begin(), (v).end()
using namespace std;
typedef long long lint;
typedef long double llf;
typedef pair<int, int> pi;
const int MAXN = 100005;

inline int frcmp(int x1, int d1, int x2, int d2){
	lint p = 1ll * x2 * d1 - 1ll * x1 * d2;
	if(p > 0) return 1;
	if(p < 0) return -1;
	return 0;
}

struct pnt{
	int x, y, d;
	bool operator<(const pnt &b)const{
		int t = frcmp(x, d, b.x, b.d);
		if(t != 0) return t > 0;
		return frcmp(y, d, b.y, b.d) > 0;
	}
	bool operator==(const pnt &p)const{
		return x == p.x && y == p.y && d == p.d;
	}
	bool operator>(const pnt &b)const{
		return b < *this;
	}
};

pnt input(){
	int x, y, z; scanf("%d %d %d",&x,&y,&z);
	int g = gcd(x, gcd(y, z));
	x /= g; y /= g; z /= g;
	return (pnt){x, y, x + y + z};
}

inline int ccw(pnt p1, pnt p2, pnt p3){
	lint lhs = 1ll * p1.d * p2.x * p3.y - 1ll * p1.x * p2.d * p3.y - 1ll * p1.y * p2.x * p3.d;
	lint rhs = 1ll * p1.d * p2.y * p3.x - 1ll * p1.x * p2.y * p3.d - 1ll * p1.y * p2.d * p3.x;
	if(lhs > rhs) return 1;
	if(lhs < rhs) return -1;
	return 0;
}

pnt c, a[MAXN];
bool mark[MAXN];
int cnt;


int type(pnt p){
	if(c == p) return -1;
	if(c < p) return 0;
	return 1;
}

auto cmp = [](pnt a, pnt b){
	if(type(a) == type(b)){
		return ccw(c, a, b) > 0;
	}
	return ccw(c, a, b) < 0;
};

vector<multiset<pnt,  decltype(cmp)>> s;


bool in_cvxh(){
	if(sz(s[1]) == 0 || sz(s[0]) == 0) return 0;
	if(ccw(c, *s[0].rbegin(), *s[1].begin()) < 0) return 0;
	if(ccw(c, *s[1].rbegin(), *s[0].begin()) < 0) return 0;
	return 1;
}

int main(){
	int onecnt = 0;
	int collapse = 0;
	for(int i=0; i<2; i++){
		s.emplace_back(cmp);
	}
	c = input();
	int q; scanf("%d",&q);
	char buf[69];
	while(q--){
		auto fresh = [&](int v, pnt p){
			auto it = s[v].lower_bound(p);
			if(it != s[v].end() && ccw(c, p, *it) == 0) return false;
			return true;
		};
		scanf("%s", buf);
		if(*buf == 'A'){
			a[++cnt] = input();
			int v = type(a[cnt]);
			if(v == -1) onecnt++;
			else{
				if(fresh(v, a[cnt])){
					auto it = s[v^1].lower_bound(a[cnt]);
					if(it != s[v^1].end() && ccw(c, *it, a[cnt]) == 0) collapse++;
				}
				s[v].insert(a[cnt]);
			}
		}
		else{
			int x; scanf("%d",&x);
			mark[x] = 1;
			int v = type(a[x]);
			if(v == -1) onecnt--;
			else{
				s[v].erase(s[v].find(a[x]));
				if(fresh(v, a[x])){
					auto it = s[v^1].lower_bound(a[x]);
					if(it != s[v^1].end() && ccw(c, *it, a[x]) == 0) collapse--;
				}
			}
		}
		if(onecnt > 0) puts("1");
		else if(collapse > 0) puts("2");
		else puts(in_cvxh() ? "3" : "0");
	}
}

Compilation message

Mixture.cpp: In function 'pnt input()':
Mixture.cpp:33:20: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  int x, y, z; scanf("%d %d %d",&x,&y,&z);
               ~~~~~^~~~~~~~~~~~~~~~~~~~~
Mixture.cpp: In function 'int main()':
Mixture.cpp:82:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  int q; scanf("%d",&q);
         ~~~~~^~~~~~~~~
Mixture.cpp:90:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%s", buf);
   ~~~~~^~~~~~~~~~~
Mixture.cpp:104:16: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
    int x; scanf("%d",&x);
           ~~~~~^~~~~~~~~

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 256 KB Output is correct
2 Correct 0 ms 256 KB Output is correct
3 Correct 0 ms 256 KB Output is correct
4 Correct 0 ms 256 KB Output is correct
5 Correct 0 ms 256 KB Output is correct
6 Correct 0 ms 256 KB Output is correct
7 Correct 0 ms 256 KB Output is correct
8 Correct 0 ms 256 KB Output is correct
9 Correct 0 ms 256 KB Output is correct
10 Correct 0 ms 256 KB Output is correct
11 Correct 0 ms 256 KB Output is correct
12 Correct 1 ms 256 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 0 ms 384 KB Output is correct
15 Correct 0 ms 384 KB Output is correct
16 Correct 0 ms 384 KB Output is correct
17 Correct 0 ms 256 KB Output is correct
18 Correct 0 ms 256 KB Output is correct
19 Correct 0 ms 384 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 256 KB Output is correct
2 Correct 0 ms 256 KB Output is correct
3 Correct 0 ms 256 KB Output is correct
4 Correct 0 ms 256 KB Output is correct
5 Correct 0 ms 256 KB Output is correct
6 Correct 0 ms 256 KB Output is correct
7 Correct 0 ms 256 KB Output is correct
8 Correct 0 ms 256 KB Output is correct
9 Correct 0 ms 256 KB Output is correct
10 Correct 0 ms 256 KB Output is correct
11 Correct 0 ms 256 KB Output is correct
12 Correct 1 ms 256 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 0 ms 384 KB Output is correct
15 Correct 0 ms 384 KB Output is correct
16 Correct 0 ms 384 KB Output is correct
17 Correct 0 ms 256 KB Output is correct
18 Correct 0 ms 256 KB Output is correct
19 Correct 0 ms 384 KB Output is correct
20 Correct 0 ms 256 KB Output is correct
21 Correct 0 ms 256 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 1 ms 384 KB Output is correct
24 Correct 1 ms 384 KB Output is correct
25 Correct 1 ms 384 KB Output is correct
26 Correct 1 ms 384 KB Output is correct
27 Correct 1 ms 384 KB Output is correct
28 Correct 1 ms 384 KB Output is correct
29 Correct 1 ms 384 KB Output is correct
30 Correct 1 ms 384 KB Output is correct
31 Correct 0 ms 256 KB Output is correct
32 Correct 1 ms 384 KB Output is correct
33 Correct 1 ms 256 KB Output is correct
34 Correct 1 ms 384 KB Output is correct
35 Correct 1 ms 384 KB Output is correct
36 Correct 1 ms 384 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 256 KB Output is correct
2 Correct 0 ms 256 KB Output is correct
3 Correct 0 ms 256 KB Output is correct
4 Correct 0 ms 256 KB Output is correct
5 Correct 0 ms 256 KB Output is correct
6 Correct 0 ms 256 KB Output is correct
7 Correct 0 ms 256 KB Output is correct
8 Correct 0 ms 256 KB Output is correct
9 Correct 0 ms 256 KB Output is correct
10 Correct 0 ms 256 KB Output is correct
11 Correct 0 ms 256 KB Output is correct
12 Correct 1 ms 256 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 0 ms 384 KB Output is correct
15 Correct 0 ms 384 KB Output is correct
16 Correct 0 ms 384 KB Output is correct
17 Correct 0 ms 256 KB Output is correct
18 Correct 0 ms 256 KB Output is correct
19 Correct 0 ms 384 KB Output is correct
20 Correct 0 ms 256 KB Output is correct
21 Correct 0 ms 256 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 1 ms 384 KB Output is correct
24 Correct 1 ms 384 KB Output is correct
25 Correct 1 ms 384 KB Output is correct
26 Correct 1 ms 384 KB Output is correct
27 Correct 1 ms 384 KB Output is correct
28 Correct 1 ms 384 KB Output is correct
29 Correct 1 ms 384 KB Output is correct
30 Correct 1 ms 384 KB Output is correct
31 Correct 0 ms 256 KB Output is correct
32 Correct 1 ms 384 KB Output is correct
33 Correct 1 ms 256 KB Output is correct
34 Correct 1 ms 384 KB Output is correct
35 Correct 1 ms 384 KB Output is correct
36 Correct 1 ms 384 KB Output is correct
37 Correct 1 ms 384 KB Output is correct
38 Correct 1 ms 384 KB Output is correct
39 Correct 1 ms 384 KB Output is correct
40 Correct 1 ms 384 KB Output is correct
41 Correct 1 ms 384 KB Output is correct
42 Correct 1 ms 384 KB Output is correct
43 Correct 2 ms 384 KB Output is correct
44 Correct 2 ms 384 KB Output is correct
45 Correct 1 ms 384 KB Output is correct
46 Correct 4 ms 512 KB Output is correct
47 Correct 5 ms 512 KB Output is correct
48 Correct 2 ms 384 KB Output is correct
49 Correct 3 ms 384 KB Output is correct
50 Correct 3 ms 384 KB Output is correct
51 Correct 6 ms 512 KB Output is correct
52 Correct 6 ms 640 KB Output is correct
53 Correct 6 ms 640 KB Output is correct
54 Correct 6 ms 640 KB Output is correct
55 Correct 5 ms 512 KB Output is correct
56 Correct 5 ms 384 KB Output is correct

Subtask #4
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 256 KB Output is correct
2 Correct 0 ms 256 KB Output is correct
3 Correct 0 ms 256 KB Output is correct
4 Correct 0 ms 256 KB Output is correct
5 Correct 0 ms 256 KB Output is correct
6 Correct 0 ms 256 KB Output is correct
7 Correct 0 ms 256 KB Output is correct
8 Correct 0 ms 256 KB Output is correct
9 Correct 0 ms 256 KB Output is correct
10 Correct 0 ms 256 KB Output is correct
11 Correct 0 ms 256 KB Output is correct
12 Correct 1 ms 256 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 0 ms 384 KB Output is correct
15 Correct 0 ms 384 KB Output is correct
16 Correct 0 ms 384 KB Output is correct
17 Correct 0 ms 256 KB Output is correct
18 Correct 0 ms 256 KB Output is correct
19 Correct 0 ms 384 KB Output is correct
20 Correct 0 ms 256 KB Output is correct
21 Correct 0 ms 256 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 1 ms 384 KB Output is correct
24 Correct 1 ms 384 KB Output is correct
25 Correct 1 ms 384 KB Output is correct
26 Correct 1 ms 384 KB Output is correct
27 Correct 1 ms 384 KB Output is correct
28 Correct 1 ms 384 KB Output is correct
29 Correct 1 ms 384 KB Output is correct
30 Correct 1 ms 384 KB Output is correct
31 Correct 0 ms 256 KB Output is correct
32 Correct 1 ms 384 KB Output is correct
33 Correct 1 ms 256 KB Output is correct
34 Correct 1 ms 384 KB Output is correct
35 Correct 1 ms 384 KB Output is correct
36 Correct 1 ms 384 KB Output is correct
37 Correct 1 ms 384 KB Output is correct
38 Correct 1 ms 384 KB Output is correct
39 Correct 1 ms 384 KB Output is correct
40 Correct 1 ms 384 KB Output is correct
41 Correct 1 ms 384 KB Output is correct
42 Correct 1 ms 384 KB Output is correct
43 Correct 2 ms 384 KB Output is correct
44 Correct 2 ms 384 KB Output is correct
45 Correct 1 ms 384 KB Output is correct
46 Correct 4 ms 512 KB Output is correct
47 Correct 5 ms 512 KB Output is correct
48 Correct 2 ms 384 KB Output is correct
49 Correct 3 ms 384 KB Output is correct
50 Correct 3 ms 384 KB Output is correct
51 Correct 6 ms 512 KB Output is correct
52 Correct 6 ms 640 KB Output is correct
53 Correct 6 ms 640 KB Output is correct
54 Correct 6 ms 640 KB Output is correct
55 Correct 5 ms 512 KB Output is correct
56 Correct 5 ms 384 KB Output is correct
57 Correct 8 ms 512 KB Output is correct
58 Correct 8 ms 512 KB Output is correct
59 Correct 8 ms 512 KB Output is correct
60 Correct 8 ms 512 KB Output is correct
61 Correct 29 ms 1528 KB Output is correct
62 Correct 31 ms 1536 KB Output is correct
63 Correct 154 ms 5752 KB Output is correct
64 Correct 186 ms 5752 KB Output is correct
65 Correct 156 ms 2552 KB Output is correct
66 Correct 148 ms 2552 KB Output is correct
67 Correct 0 ms 256 KB Output is correct
68 Correct 0 ms 384 KB Output is correct
69 Correct 189 ms 6392 KB Output is correct
70 Correct 168 ms 4984 KB Output is correct
71 Correct 158 ms 4984 KB Output is correct
72 Correct 187 ms 5624 KB Output is correct
73 Correct 173 ms 5788 KB Output is correct