oj.uz

Submission #126358

# Submission time Handle Problem Language Result Execution time Memory
126358 2019-07-07T13:17:32 Z youngyojun Demarcation (BOI14_demarcation) C++11
100 / 100
 211 ms 30328 KB 
#include <cstdio>
#include <algorithm>
#include <map>
#include <vector>

#define _N 101010
#define EXIT {printf("NO\n");return 0;}
#define labs(a) ((a)>0?(a):-(a))

using namespace std;

typedef long long ll;

struct pl{ll f,s;};
pl mp(ll _f,ll _s){pl _p;_p.f=_f,_p.s=_s;return _p;}
pl P[_N],Div[_N]; // point
ll L[_N],n,ap,bp,cp,xp,yp; // perimeter
ll Dx[_N],Dy[_N]; // direction
pl A[_N],B[_N],_A[_N],_B[_N];

pl Cs[_N],Ce[_N];
map <ll,ll> X,Y;
ll Tx[_N],Ty[_N];
bool Ox[_N],Oy[_N];
vector <ll> Vlx[_N],Vly[_N],Vcx[_N],Vcy[_N];

ll Add(ll* Arr,ll p,ll val)
{
	while(p<=n){
		Arr[p] += val;
		p += (p&-p);
	}

	return 0;
}

ll Range(ll* Arr,ll s,ll e)
{
	if(s>e) return 0;

	ll ret=0;
	s--;
	while(s){
		ret -= Arr[s];
		s -= (s&-s);
	}
	while(e){
		ret += Arr[e];
		e -= (e&-e);
	}

	return ret;
}

ll Check(pl s,pl e)
{
	int x1,x2,y1,y2,_a,_b,i,j;

	x1 = P[s.f].f+Dx[s.f]*s.s, y1 = P[s.f].s+Dy[s.f]*s.s;
	x2 = P[e.f].f+Dx[e.f]*e.s, y2 = P[e.f].s+Dy[e.f]*e.s;
	
	_A[_a++] = mp(x1,y1);
	for(i=s.f+1;i<=e.f;i++) _A[_a++] = mp(P[i].f,P[i].s);
	_A[_a++] = mp(x2,y2);
	for(ap=i=0;i<_a;i++){
		if((_A[(i+_a-1)%_a].f!=_A[i].f||_A[i].f!=_A[(i+1)%_a].f)
			&& (_A[(i+_a-1)%_a].s!=_A[i].s||_A[i].s!=_A[(i+1)%_a].s)) A[ap++] = _A[i];
	}
	_B[_b++] = mp(x2,y2);
	for(i=(e.f+1)%n;i!=s.f+1;i=(i+1)%n) _B[_b++] = mp(P[i].f,P[i].s);
	_B[_b++] = mp(x1,y1);
	for(bp=i=0;i<_b;i++){
		if((_B[(i+_b-1)%_b].f!=_B[i].f||_B[i].f!=_B[(i+1)%_b].f)
			&& (_B[(i+_b-1)%_b].s!=_B[i].s||_B[i].s!=_B[(i+1)%_b].s)) B[bp++] = _B[i];
	}
	
	if(ap != bp) return 0;

	for(i=_a=0;i<ap;i++) if(A[i].f < A[_a].f || (A[i].f == A[_a].f && A[i].s < A[_a].s)) _a=i;

	for(j=0;j<8;j++){
		for(i=_b=0;i<bp;i++){
			swap(B[i].f,B[i].s);
			if(j!=4) B[i].f = -B[i].f;
			if(B[i].f < B[_b].f || (B[i].f == B[_b].f && B[i].s < B[_b].s)) _b=i;
		}
		for(i=0;i<bp;i++){
			if((A[(_a+i)%ap].f-A[_a].f != B[(_b+i)%bp].f-B[_b].f) || 
				(A[(_a+i)%ap].s-A[_a].s != B[(_b+i)%bp].s-B[_b].s)) break;
		}
		if(i==bp){
			printf("%lld %lld %lld %lld\n",x1,y1,x2,y2);
			return 1;
		}
	}

	for(i=0;i<bp/2;i++) swap(B[i],B[bp-i-1]);

	for(j=0;j<8;j++){
		for(i=_b=0;i<bp;i++){
			swap(B[i].f,B[i].s);
			if(j!=4) B[i].f = -B[i].f;
			if(B[i].f < B[_b].f || (B[i].f == B[_b].f && B[i].s < B[_b].s)) _b=i;
		}
		for(i=0;i<bp;i++){
			if((A[(_a+i)%ap].f-A[_a].f != B[(_b+i)%bp].f-B[_b].f) || 
				(A[(_a+i)%ap].s-A[_a].s != B[(_b+i)%bp].s-B[_b].s)) break;
		}
		if(i==bp){
			printf("%lld %lld %lld %lld\n",x1,y1,x2,y2);
			return 1;
		}
	}

	return 0;
}

int main()
{
	scanf("%d",&n);

	ll i,j,k,a,b,c,d,l1,l2,x1,y1,x2,y2;
	pl s,e;

	for(i=0;i<n;i++){
		scanf("%lld%lld",&P[i].f,&P[i].s);
		X[P[i].f] ++, Y[P[i].s] ++;

		if(i){
			L[i] = L[i-1] + labs(P[i].f-P[i-1].f+P[i].s-P[i-1].s);
			if(P[i-1].f == P[i].f) Dy[i-1] = P[i-1].s<P[i].s?1:-1;
			else Dx[i-1] = P[i-1].f<P[i].f?1:-1;
		}
	}
	L[n] = L[n-1] + labs(P[0].f-P[n-1].f+P[0].s-P[n-1].s);
	if(P[n-1].f == P[0].f) Dy[n-1] = P[n-1].s<P[0].s?1:-1;
	else Dx[n-1] = P[n-1].f<P[0].f?1:-1;

	if(L[n]%2) EXIT

	for(e.f=0;L[e.f]<=L[n]/2;e.f++);
	e.f--, e.s = L[n]/2-L[e.f];

	for(s=mp(0,0);e.f<n;){
		a = L[s.f+1]-(L[s.f]+s.s), b = L[e.f+1]-(L[e.f]+e.s);

		if(Dx[s.f]*Dx[e.f]<0){
			k = labs((P[s.f].f+Dx[s.f]*s.s)-(P[e.f].f+Dx[e.f]*e.s));
			if(k%2 == 0 && k/2<=a && k/2<=b){
				s.s += k/2, e.s += k/2;
				x1 = Dx[s.f]*s.s;
				x2 = Dx[e.f]*e.s;
				if(P[s.f].f+x1 == P[e.f].f+x2){
					Cs[cp] = s, Ce[cp++] = e;
					X[P[s.f].f+x1]++, Y[P[s.f].s]++, Y[P[e.f].s]++;
				}
				s.s -= k/2, e.s -= k/2;
			}
		}
		else if(Dy[s.f]*Dy[e.f]<0){
			k = labs((P[s.f].s+Dy[s.f]*s.s)-(P[e.f].s+Dy[e.f]*e.s));
			if(k%2 == 0 && k/2<=a && k/2<=b){
				s.s += k/2, e.s += k/2;
				y1 = Dy[s.f]*s.s;
				y2 = Dy[e.f]*e.s;
				if(P[s.f].s+y1 == P[e.f].s+y2){
					Cs[cp] = s, Ce[cp++] = e;
					X[P[s.f].f]++, X[P[e.f].f]++, Y[P[s.f].s+y1] ++;
				}
				s.s -= k/2, e.s -= k/2;
			}
		}

		s.s += min(a,b), e.s += min(a,b);

		if(a==0) s.f++, s.s=0;
		else if(b==0){
			e.f++, e.s=0;
			if(s.s == 0) s.f--, s.s = L[s.f+1]-L[s.f];
		}
	}

	// faster...

	for(auto t=X.begin(); t!=X.end(); t++,xp++) t->second = xp+1;
	for(auto t=Y.begin(); t!=Y.end(); t++,yp++) t->second = yp+1;

	for(i=0;i<n;i++){
		if(P[i].s == P[(i+1)%n].s){
			Vlx[X[P[i].f]].push_back(i);
			Vlx[X[P[(i+1)%n].f]].push_back(i);
		}
		else{
			Vly[Y[P[i].s]].push_back(i);
			Vly[Y[P[(i+1)%n].s]].push_back(i);
		}
	}
	for(i=0;i<cp;i++){
		s = Cs[i], e = Ce[i];
		x1 = P[s.f].f+Dx[s.f]*s.s, y1 = P[s.f].s+Dy[s.f]*s.s;
		x2 = P[e.f].f+Dx[e.f]*e.s, y2 = P[e.f].s+Dy[e.f]*e.s;
		if(x1 == x2) Vcx[X[x1]].push_back(i);
		else Vcy[Y[y1]].push_back(i);
	}

	for(i=1;i<=xp;i++){
		for(j=0;j<Vlx[i].size();j++){
			if(!Ox[Vlx[i][j]]) Add(Tx,Y[P[Vlx[i][j]].s],1);
		}
		for(j=0;j<Vcx[i].size();j++){
			s = Cs[Vcx[i][j]], e = Ce[Vcx[i][j]];
			y1 = P[s.f].s+Dy[s.f]*s.s, y2 = P[e.f].s+Dy[e.f]*e.s;
			if(y1>y2) swap(y1,y2);
			if(Range(Tx,Y[y1]+1,Y[y2]-1) == 0 && Check(s,e)) return 0;
		}
		for(j=0;j<Vlx[i].size();j++){
			if(Ox[Vlx[i][j]]) Add(Tx,Y[P[Vlx[i][j]].s],-1);
			else Ox[Vlx[i][j]] = 1;
		}
	}

	for(i=1;i<=yp;i++){
		for(j=0;j<Vly[i].size();j++){
			if(!Oy[Vly[i][j]]) Add(Ty,X[P[Vly[i][j]].f],1);
		}
		for(j=0;j<Vcy[i].size();j++){
			s = Cs[Vcy[i][j]], e = Ce[Vcy[i][j]];
			x1 = P[s.f].f+Dx[s.f]*s.s, x2 = P[e.f].f+Dx[e.f]*e.s;
			if(x1>x2) swap(x1,x2);
			if(Range(Ty,X[x1]+1,X[x2]-1) == 0 && Check(s,e)) return 0;
		}
		for(j=0;j<Vly[i].size();j++){
			if(Oy[Vly[i][j]]) Add(Ty,X[P[Vly[i][j]].f],-1);
			else Oy[Vly[i][j]] = 1;
		}
	}

	EXIT
}

Compilation message

demarcation.cpp: In function 'll Check(pl, pl)':
demarcation.cpp:92:46: warning: format '%lld' expects argument of type 'long long int', but argument 2 has type 'int' [-Wformat=]
    printf("%lld %lld %lld %lld\n",x1,y1,x2,y2);
                                              ^
demarcation.cpp:92:46: warning: format '%lld' expects argument of type 'long long int', but argument 3 has type 'int' [-Wformat=]
demarcation.cpp:92:46: warning: format '%lld' expects argument of type 'long long int', but argument 4 has type 'int' [-Wformat=]
demarcation.cpp:92:46: warning: format '%lld' expects argument of type 'long long int', but argument 5 has type 'int' [-Wformat=]
demarcation.cpp:110:46: warning: format '%lld' expects argument of type 'long long int', but argument 2 has type 'int' [-Wformat=]
    printf("%lld %lld %lld %lld\n",x1,y1,x2,y2);
                                              ^
demarcation.cpp:110:46: warning: format '%lld' expects argument of type 'long long int', but argument 3 has type 'int' [-Wformat=]
demarcation.cpp:110:46: warning: format '%lld' expects argument of type 'long long int', but argument 4 has type 'int' [-Wformat=]
demarcation.cpp:110:46: warning: format '%lld' expects argument of type 'long long int', but argument 5 has type 'int' [-Wformat=]
demarcation.cpp: In function 'int main()':
demarcation.cpp:120:15: warning: format '%d' expects argument of type 'int*', but argument 2 has type 'll* {aka long long int*}' [-Wformat=]
  scanf("%d",&n);
             ~~^
demarcation.cpp:207:12: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for(j=0;j<Vlx[i].size();j++){
           ~^~~~~~~~~~~~~~
demarcation.cpp:210:12: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for(j=0;j<Vcx[i].size();j++){
           ~^~~~~~~~~~~~~~
demarcation.cpp:216:12: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for(j=0;j<Vlx[i].size();j++){
           ~^~~~~~~~~~~~~~
demarcation.cpp:223:12: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for(j=0;j<Vly[i].size();j++){
           ~^~~~~~~~~~~~~~
demarcation.cpp:226:12: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for(j=0;j<Vcy[i].size();j++){
           ~^~~~~~~~~~~~~~
demarcation.cpp:232:12: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for(j=0;j<Vly[i].size();j++){
           ~^~~~~~~~~~~~~~
demarcation.cpp:122:15: warning: unused variable 'c' [-Wunused-variable]
  ll i,j,k,a,b,c,d,l1,l2,x1,y1,x2,y2;
               ^
demarcation.cpp:122:17: warning: unused variable 'd' [-Wunused-variable]
  ll i,j,k,a,b,c,d,l1,l2,x1,y1,x2,y2;
                 ^
demarcation.cpp:122:19: warning: unused variable 'l1' [-Wunused-variable]
  ll i,j,k,a,b,c,d,l1,l2,x1,y1,x2,y2;
                   ^~
demarcation.cpp:122:22: warning: unused variable 'l2' [-Wunused-variable]
  ll i,j,k,a,b,c,d,l1,l2,x1,y1,x2,y2;
                      ^~
demarcation.cpp:120:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d",&n);
  ~~~~~^~~~~~~~~
demarcation.cpp:126:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%lld%lld",&P[i].f,&P[i].s);
   ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~
demarcation.cpp: In function 'll Check(pl, pl)':
demarcation.cpp:62:7: warning: '_a' is used uninitialized in this function [-Wuninitialized]
  _A[_a++] = mp(x1,y1);
     ~~^~
demarcation.cpp:69:7: warning: '_b' is used uninitialized in this function [-Wuninitialized]
  _B[_b++] = mp(x2,y2);
     ~~^~

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 12024 KB Output is correct
2 Correct 10 ms 9848 KB Output is correct
3 Correct 10 ms 9848 KB Output is correct
4 Correct 21 ms 11640 KB Output is correct
5 Correct 10 ms 9848 KB Output is correct
6 Correct 10 ms 9848 KB Output is correct
7 Correct 10 ms 9876 KB Output is correct
8 Correct 10 ms 9848 KB Output is correct
9 Correct 131 ms 24204 KB Output is correct
10 Correct 10 ms 9848 KB Output is correct
11 Correct 11 ms 9976 KB Output is correct
12 Correct 10 ms 9980 KB Output is correct
13 Correct 10 ms 9848 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 10104 KB Output is correct
2 Correct 10 ms 9848 KB Output is correct
3 Correct 10 ms 9848 KB Output is correct
4 Correct 10 ms 9856 KB Output is correct
5 Correct 10 ms 9872 KB Output is correct
6 Correct 10 ms 9848 KB Output is correct
7 Correct 10 ms 9848 KB Output is correct
8 Correct 10 ms 9976 KB Output is correct
9 Correct 10 ms 9848 KB Output is correct
10 Correct 10 ms 9976 KB Output is correct
11 Correct 10 ms 9848 KB Output is correct
12 Correct 10 ms 9848 KB Output is correct
13 Correct 10 ms 9976 KB Output is correct
14 Correct 12 ms 9904 KB Output is correct
15 Correct 10 ms 9948 KB Output is correct
16 Correct 10 ms 9920 KB Output is correct
17 Correct 11 ms 9976 KB Output is correct
18 Correct 10 ms 9848 KB Output is correct
19 Correct 13 ms 9848 KB Output is correct
20 Correct 10 ms 9976 KB Output is correct
21 Correct 10 ms 9976 KB Output is correct
22 Correct 11 ms 9904 KB Output is correct
23 Correct 10 ms 9884 KB Output is correct
24 Correct 10 ms 9836 KB Output is correct
25 Correct 10 ms 9848 KB Output is correct
26 Correct 10 ms 9848 KB Output is correct
27 Correct 10 ms 9848 KB Output is correct
28 Correct 13 ms 9852 KB Output is correct
29 Correct 10 ms 9820 KB Output is correct
30 Correct 10 ms 9848 KB Output is correct

Subtask #3
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 10104 KB Output is correct
2 Correct 10 ms 9848 KB Output is correct
3 Correct 10 ms 9848 KB Output is correct
4 Correct 10 ms 9848 KB Output is correct
5 Correct 10 ms 9848 KB Output is correct
6 Correct 12 ms 9976 KB Output is correct
7 Correct 13 ms 9976 KB Output is correct
8 Correct 11 ms 9976 KB Output is correct
9 Correct 13 ms 9848 KB Output is correct
10 Correct 10 ms 9848 KB Output is correct
11 Correct 10 ms 9976 KB Output is correct
12 Correct 10 ms 9976 KB Output is correct
13 Correct 12 ms 9848 KB Output is correct
14 Correct 13 ms 9848 KB Output is correct
15 Correct 13 ms 9848 KB Output is correct
16 Correct 13 ms 9976 KB Output is correct
17 Correct 10 ms 9848 KB Output is correct
18 Correct 10 ms 9848 KB Output is correct
19 Correct 10 ms 9848 KB Output is correct
20 Correct 10 ms 9848 KB Output is correct
21 Correct 10 ms 9980 KB Output is correct
22 Correct 10 ms 9848 KB Output is correct
23 Correct 10 ms 9848 KB Output is correct
24 Correct 10 ms 9848 KB Output is correct
25 Correct 10 ms 9848 KB Output is correct
26 Correct 10 ms 9848 KB Output is correct
27 Correct 10 ms 9848 KB Output is correct
28 Correct 10 ms 9848 KB Output is correct
29 Correct 10 ms 9848 KB Output is correct
30 Correct 10 ms 9848 KB Output is correct
31 Correct 10 ms 9976 KB Output is correct
32 Correct 13 ms 10232 KB Output is correct
33 Correct 12 ms 10152 KB Output is correct
34 Correct 12 ms 10104 KB Output is correct
35 Correct 11 ms 10104 KB Output is correct
36 Correct 12 ms 10232 KB Output is correct
37 Correct 12 ms 10232 KB Output is correct
38 Correct 12 ms 10232 KB Output is correct
39 Correct 11 ms 9976 KB Output is correct

Subtask #4
50.0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 11896 KB Output is correct
2 Correct 10 ms 9848 KB Output is correct
3 Correct 11 ms 9976 KB Output is correct
4 Correct 21 ms 11612 KB Output is correct
5 Correct 11 ms 9820 KB Output is correct
6 Correct 11 ms 9852 KB Output is correct
7 Correct 10 ms 9848 KB Output is correct
8 Correct 10 ms 9848 KB Output is correct
9 Correct 131 ms 24184 KB Output is correct
10 Correct 10 ms 9848 KB Output is correct
11 Correct 12 ms 9976 KB Output is correct
12 Correct 12 ms 9976 KB Output is correct
13 Correct 12 ms 9848 KB Output is correct
14 Correct 10 ms 9976 KB Output is correct
15 Correct 10 ms 9980 KB Output is correct
16 Correct 13 ms 9976 KB Output is correct
17 Correct 11 ms 9976 KB Output is correct
18 Correct 10 ms 9848 KB Output is correct
19 Correct 10 ms 9848 KB Output is correct
20 Correct 10 ms 9848 KB Output is correct
21 Correct 12 ms 9976 KB Output is correct
22 Correct 13 ms 9848 KB Output is correct
23 Correct 12 ms 9848 KB Output is correct
24 Correct 13 ms 9976 KB Output is correct
25 Correct 11 ms 9976 KB Output is correct
26 Correct 19 ms 9848 KB Output is correct
27 Correct 10 ms 9848 KB Output is correct
28 Correct 10 ms 9848 KB Output is correct
29 Correct 10 ms 9848 KB Output is correct
30 Correct 11 ms 9976 KB Output is correct
31 Correct 13 ms 9848 KB Output is correct
32 Correct 10 ms 9848 KB Output is correct
33 Correct 13 ms 9848 KB Output is correct
34 Correct 13 ms 9976 KB Output is correct
35 Correct 12 ms 10232 KB Output is correct
36 Correct 12 ms 10260 KB Output is correct
37 Correct 12 ms 10232 KB Output is correct
38 Correct 11 ms 10104 KB Output is correct
39 Correct 14 ms 10232 KB Output is correct
40 Correct 12 ms 10140 KB Output is correct
41 Correct 12 ms 10232 KB Output is correct
42 Correct 11 ms 9976 KB Output is correct
43 Correct 13 ms 10360 KB Output is correct
44 Correct 78 ms 17244 KB Output is correct
45 Correct 43 ms 15736 KB Output is correct
46 Correct 50 ms 15224 KB Output is correct
47 Correct 35 ms 12924 KB Output is correct
48 Correct 39 ms 14200 KB Output is correct
49 Correct 70 ms 19832 KB Output is correct
50 Correct 60 ms 18680 KB Output is correct
51 Correct 155 ms 28024 KB Output is correct
52 Correct 211 ms 30328 KB Output is correct
53 Correct 116 ms 18808 KB Output is correct
54 Correct 92 ms 20104 KB Output is correct
55 Correct 51 ms 15480 KB Output is correct
56 Correct 136 ms 27128 KB Output is correct
57 Correct 187 ms 25208 KB Output is correct
58 Correct 142 ms 22368 KB Output is correct
59 Correct 145 ms 25532 KB Output is correct
60 Correct 70 ms 16636 KB Output is correct
61 Correct 31 ms 12636 KB Output is correct
62 Correct 37 ms 13560 KB Output is correct
63 Correct 47 ms 14968 KB Output is correct
64 Correct 48 ms 15224 KB Output is correct
65 Correct 54 ms 13944 KB Output is correct
66 Correct 146 ms 23428 KB Output is correct