oj.uz

Submission #64578

# Submission time Handle Problem Language Result Execution time Memory
64578 2018-08-05T00:08:15 Z kjp4155 None (KOI18_footprint) C++17
100 / 100
 1976 ms 190892 KB 
#include<bits/stdc++.h>
using namespace std;

#define VA_NUM_ARGS(...) VA_NUM_ARGS_IMPL_((0,__VA_ARGS__, 6,5,4,3,2,1))
#define VA_NUM_ARGS_IMPL_(tuple) VA_NUM_ARGS_IMPL tuple
#define VA_NUM_ARGS_IMPL(_0,_1,_2,_3,_4,_5,_6,N,...) N
#define macro_dispatcher(macro, ...) macro_dispatcher_(macro, VA_NUM_ARGS(__VA_ARGS__))
#define macro_dispatcher_(macro, nargs) macro_dispatcher__(macro, nargs)
#define macro_dispatcher__(macro, nargs) macro_dispatcher___(macro, nargs)
#define macro_dispatcher___(macro, nargs) macro ## nargs
#define Debug1(a)           cout<<#a<<"="<<(a)<<"\n"
#define Debug2(a,b)         cout<<#a<<"="<<(a)<<", "<<#b<<"="<<(b)<<"\n"
#define Debug3(a,b,c)       cout<<#a<<"="<<(a)<<", "<<#b<<"="<<(b)<<", "<<#c<<"="<<(c)<<"\n"
#define Debug4(a,b,c,d)     cout<<#a<<"="<<(a)<<", "<<#b<<"="<<(b)<<", "<<#c<<"="<<(c)<<", "<<#d<<"="<<(d)<<"\n"
#define Debug5(a,b,c,d,e)   cout<<#a<<"="<<(a)<<", "<<#b<<"="<<(b)<<", "<<#c<<"="<<(c)<<", "<<#d<<"="<<(d)<<", "<<#e<<"="<<(e)<<"\n"
#define Debug6(a,b,c,d,e,f) cout<<#a<<"="<<(a)<<", "<<#b<<"="<<(b)<<", "<<#c<<"="<<(c)<<", "<<#d<<"="<<(d)<<", "<<#e<<"="<<(e)<<", "<<#f<<"="<<(f)<<"\n"
#define Debug(...) macro_dispatcher(Debug, __VA_ARGS__)(__VA_ARGS__)
#define DA(a,n) cout<<#a<<"=["; printarray(a,n); cout<<"]\n"
#define DAR(a,n,s) cout<<#a<<"["<<s<<"-"<<n-1<<"]=["; printarray(a,n,s); cout<<"]\n"

#define TT1 template<class T>
#define TT1T2 template<class T1, class T2>
#define TT1T2T3 template<class T1, class T2, class T3>
template<class T, size_t N> ostream& operator << (ostream& os, const array<T, N>& v);
TT1T2 ostream& operator << (ostream& os, const pair<T1, T2>& p){ return os <<"("<<p.first<<", "<< p.second<<")"; }
TT1 ostream& operator << (ostream& os, const vector<T>& v){       bool f=1;os<<"[";for(auto& i : v) { if (!f)os << ", ";os<<i;f=0;}return os << "]"; }
template<class T, size_t N> ostream& operator << (ostream& os, const array<T, N>& v) {     bool f=1;os<<"[";for(auto& i : v) { if (!f)os << ", ";os<<i;f=0;}return os << "]"; }
TT1T2 ostream& operator << (ostream& os, const set<T1, T2>&v){    bool f=1;os<<"[";for(auto& i : v) { if (!f)os << ", ";os<<i;f=0;}return os << "]"; }
TT1T2 ostream& operator << (ostream& os, const multiset<T1,T2>&v){bool f=1;os<<"[";for(auto& i : v) { if (!f)os << ", ";os<<i;f=0;}return os << "]"; }
TT1T2T3 ostream& operator << (ostream& os, const map<T1,T2,T3>& v){ bool f = 1; os << "["; for (auto& ii : v) { if (!f)os << ", "; os << "(" << ii.first << " -> " << ii.second << ") "; f = 0; }return os << "]"; }
TT1T2 ostream& operator << (ostream& os, const multimap<T1, T2>& v){ bool f = 1; os << "["; for (auto& ii : v) { if (!f)os << ", "; os << "(" << ii.first << " -> " << ii.second << ") "; f = 0; }return os << "]"; }
TT1T2 ostream& operator << (ostream& os, priority_queue<T1, T2> v) { bool f = 1; os << "["; while (!v.empty()) { auto x = v.top(); v.pop(); if (!f) os << ", "; f = 0; os << x; } return os << "]"; }
TT1T2 void printarray(const T1& a, T2 sz, T2 beg = 0){ for (T2 i = beg; i<sz; i++) cout << a[i] << " "; cout << endl; }

typedef long long ll;
typedef unsigned long long ull;
typedef pair<int, int> Pi;
typedef pair<ll, ll> Pll;

#define Fi first
#define Se second
#define pb(x) push_back(x)
#define sz(x) (int)x.size()
#define rep(i, n) for(int i=0;i<n;i++)
#define repp(i, n) for(int i=1;i<=n;i++)
#define all(x) x.begin(), x.end()
#define geti1(X) cin >> X
#define geti2(X,Y) cin >> X >> Y
#define geti3(X,Y,Z) cin >> X >> Y >> Z
#define geti4(X,Y,Z,W) cin >> X >> Y >> Z >> W
#define GET_MACRO(_1,_2,_3,_4,NAME,...) NAME
#define geti(...) GET_MACRO(__VA_ARGS__, geti4, geti3, geti2, geti1) (__VA_ARGS__)

#define INF 987654321

#define endl '\n'

const ll mod = 1e9 + 7;

const ll inf = 1e14;

/*
#include <stdio.h>
#include <algorithm>
#include <utility>
#include <vector>
using namespace std;

typedef long long ll;
*/
// 계산을 편리하게 하기 위한 Point구조체 및 몇가지 연산자 정의
struct Point{
	ll x,y,n;
};
Point operator - (Point a, Point b){
	return {a.x-b.x, a.y-b.y, a.n};
}
ll ccw(Point a, Point b){
	return a.x * b.y - a.y * b.x;
}

int N;
ll xbase = 0, ybase = 1e9;
ll X[5050], Y[5050];
vector<Point> v;

int dp1[5050][5050], dp2[5050][5050];
int prev1[5050][5050], prev2[5050][5050];

int main(){
	scanf("%d",&N);
	for(int i=1;i<=N;i++){
		scanf("%lld%lld",&X[i],&Y[i]);
		if( ybase > Y[i] ){
			ybase = Y[i]; xbase = X[i];
		}
	}

	// 발뒤꿈치를 원점으로 하도록 점들을 평행이동시키자
	for(int i=1;i<=N;i++){
		X[i] -= xbase; Y[i] -= ybase;
		if( X[i] == 0 && Y[i] == 0 ) continue;
		v.push_back({X[i], Y[i], i});
	}

	// 나머지 점들(1,2,...,N-1)을 모두 반시계방향으로 정렬
	sort( v.begin(), v.end() , [](Point& a, Point& b){
		return ccw(a,b) > 0;
	} );

	v.push_back({0,0,0});
	
	// i를 고정시키고 슬라이딩 윈도우 기법으로 dp1[i][j], dp2[i][j]를 모두 채우자
	for(int i=0;i<v.size();i++){

		vector<Point> L,R;
		for(int j=0;j<i;j++){
			if( ccw(v[j], v[i]) == 0 ) continue;
			R.push_back(v[j]);
		}
		for(int j=i+1;j<v.size();j++){
			if( j != v.size()-1 && ccw(v[j], v[i]) == 0 ) continue;
			L.push_back(v[j]);
		}
		// dp1 채우기
		sort(L.begin(), L.end(), [i](Point a, Point b){
			return ccw(a-v[i], b-v[i]) > 0;
		});
		sort(R.begin(), R.end(), [i](Point a, Point b){
			return ccw(a-v[i], b-v[i]) > 0;
		});

		int pos = -1;
		int mx = 0, mxx = 0;

		for(auto p : L){
			while( pos+1 < R.size() && ccw( v[i]-p , R[pos+1]-p ) < 0 ){
				pos++;
				if( mx < dp2[ R[pos].n ][ v[i].n ] ){
					mx = dp2[ R[pos].n ][ v[i].n ];
					mxx = R[pos].n;
				}
			}

			if( dp1[ v[i].n ][ p.n ] < mx+1 ){
				dp1[ v[i].n ][ p.n ] = mx + 1;
				prev1[ v[i].n ][ p.n ] =mxx;
			//	printf("dp1[ %lld ][ %lld ] = %d   prev = %d \n", v[i].n, p.n, mx+1, mxx );
			}
			
		}

		// dp2 채우기
		sort(L.begin(), L.end(), [i](Point a, Point b){
			return ccw(a-v[i], b-v[i]) < 0;
		});
		sort(R.begin(), R.end(), [i](Point a, Point b){
			return ccw(a-v[i], b-v[i]) < 0;
		});

		pos = -1; mx = 0, mxx = 0;
		for(auto p : L){
			if( p.n == 0 ) continue;
			while( pos+1 < R.size() && ccw( v[i]-p , R[pos+1]-p ) > 0 ){
				pos++;
				if( mx < dp1[ R[pos].n ][ v[i].n ] ){
					mx = dp1[ R[pos].n ][ v[i].n ];
					mxx = R[pos].n;
				}
			}

			// 골은 적어도 두번째 점부터 시작
			if( mx >= 1 && dp2[ v[i].n ][ p.n ] < mx+1 ){
			//	printf("dp2[ %lld ][ %lld ] = %d   prev = %d \n", v[i].n, p.n, mx+1, mxx );
				dp2[ v[i].n ][ p.n ] = mx + 1;
				prev2[ v[i].n ][ p.n ] = mxx;
			}
			
		}
	}

	int mx = -1, mxx = 0;
	for(int i=1;i<=N;i++){
		if( mx < dp1[i][0] ){
			mx = dp1[i][0];
			mxx = i;
		}
	}

	// 발자국을 만들수 없는 경우 (발가락이 1개 이하)
	if( mx < 3 ){
		printf("0\n");
		return 0;
	}

	vector<pair<ll,ll>> ansv;
	int cur = mxx, nxt = 0;
	while( true ){
		//printf("%d %d\n",cur,nxt);
		ansv.push_back({X[cur]+xbase, Y[cur]+ybase});
		if( dp1[cur][nxt] == 1 ) break;
		int pre = prev1[cur][nxt];
		nxt = cur;
		cur = pre;

		//printf("%d %d\n",cur,nxt);
		ansv.push_back({X[cur]+xbase, Y[cur]+ybase});
		pre = prev2[cur][nxt];
		nxt = cur;
		cur = pre;
	}
	ansv.push_back({xbase, ybase});

	printf("%d\n", mx+1);
	reverse( ansv.begin(), ansv.end() );
	for(auto e : ansv) printf("%lld %lld\n",e.first, e.second);
}

Compilation message

footprint.cpp: In function 'int main()':
footprint.cpp:114:15: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int i=0;i<v.size();i++){
              ~^~~~~~~~~
footprint.cpp:121:18: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for(int j=i+1;j<v.size();j++){
                 ~^~~~~~~~~
footprint.cpp:122:10: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
    if( j != v.size()-1 && ccw(v[j], v[i]) == 0 ) continue;
        ~~^~~~~~~~~~~~~
footprint.cpp:137:17: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
    while( pos+1 < R.size() && ccw( v[i]-p , R[pos+1]-p ) < 0 ){
           ~~~~~~^~~~~~~~~~
footprint.cpp:164:17: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
    while( pos+1 < R.size() && ccw( v[i]-p , R[pos+1]-p ) > 0 ){
           ~~~~~~^~~~~~~~~~
footprint.cpp:91:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d",&N);
  ~~~~~^~~~~~~~~
footprint.cpp:93:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%lld%lld",&X[i],&Y[i]);
   ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1550 ms 160436 KB Output is correct
2 Correct 1783 ms 165708 KB Output is correct
3 Correct 1535 ms 165708 KB Output is correct
4 Correct 1596 ms 166020 KB Output is correct
5 Correct 1619 ms 166020 KB Output is correct
6 Correct 1667 ms 166088 KB Output is correct
7 Correct 1639 ms 166088 KB Output is correct
8 Correct 1513 ms 166688 KB Output is correct
9 Correct 1384 ms 167196 KB Output is correct
10 Correct 1716 ms 167196 KB Output is correct
11 Correct 1627 ms 167196 KB Output is correct
12 Correct 1632 ms 167392 KB Output is correct
13 Correct 1646 ms 171340 KB Output is correct
14 Correct 1643 ms 171340 KB Output is correct
15 Correct 1459 ms 171340 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 171340 KB Output is correct
2 Correct 4 ms 171340 KB Output is correct
3 Correct 3 ms 171340 KB Output is correct
4 Correct 3 ms 171340 KB Output is correct
5 Correct 3 ms 171340 KB Output is correct
6 Correct 3 ms 171340 KB Output is correct
7 Correct 3 ms 171340 KB Output is correct
8 Correct 5 ms 171340 KB Output is correct
9 Correct 3 ms 171340 KB Output is correct
10 Correct 2 ms 171340 KB Output is correct
11 Correct 3 ms 171340 KB Output is correct
12 Correct 3 ms 171340 KB Output is correct
13 Correct 2 ms 171340 KB Output is correct
14 Correct 4 ms 171340 KB Output is correct
15 Correct 3 ms 171340 KB Output is correct
16 Correct 3 ms 171340 KB Output is correct
17 Correct 2 ms 171340 KB Output is correct
18 Correct 2 ms 171340 KB Output is correct
19 Correct 2 ms 171340 KB Output is correct
20 Correct 3 ms 171340 KB Output is correct

Subtask #3
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 171340 KB Output is correct
2 Correct 4 ms 171340 KB Output is correct
3 Correct 3 ms 171340 KB Output is correct
4 Correct 3 ms 171340 KB Output is correct
5 Correct 3 ms 171340 KB Output is correct
6 Correct 3 ms 171340 KB Output is correct
7 Correct 3 ms 171340 KB Output is correct
8 Correct 5 ms 171340 KB Output is correct
9 Correct 3 ms 171340 KB Output is correct
10 Correct 2 ms 171340 KB Output is correct
11 Correct 3 ms 171340 KB Output is correct
12 Correct 3 ms 171340 KB Output is correct
13 Correct 2 ms 171340 KB Output is correct
14 Correct 4 ms 171340 KB Output is correct
15 Correct 3 ms 171340 KB Output is correct
16 Correct 3 ms 171340 KB Output is correct
17 Correct 2 ms 171340 KB Output is correct
18 Correct 2 ms 171340 KB Output is correct
19 Correct 2 ms 171340 KB Output is correct
20 Correct 3 ms 171340 KB Output is correct
21 Correct 21 ms 171340 KB Output is correct
22 Correct 21 ms 171340 KB Output is correct
23 Correct 15 ms 171340 KB Output is correct
24 Correct 16 ms 171340 KB Output is correct
25 Correct 17 ms 171340 KB Output is correct
26 Correct 18 ms 171340 KB Output is correct
27 Correct 21 ms 171340 KB Output is correct
28 Correct 23 ms 171340 KB Output is correct
29 Correct 20 ms 171340 KB Output is correct
30 Correct 26 ms 171340 KB Output is correct
31 Correct 21 ms 171340 KB Output is correct
32 Correct 22 ms 171340 KB Output is correct
33 Correct 12 ms 171340 KB Output is correct
34 Correct 16 ms 171340 KB Output is correct
35 Correct 13 ms 171340 KB Output is correct

Subtask #4
45.0 / 45.0

# Verdict Execution time Memory Grader output
1 Correct 1550 ms 160436 KB Output is correct
2 Correct 1783 ms 165708 KB Output is correct
3 Correct 1535 ms 165708 KB Output is correct
4 Correct 1596 ms 166020 KB Output is correct
5 Correct 1619 ms 166020 KB Output is correct
6 Correct 1667 ms 166088 KB Output is correct
7 Correct 1639 ms 166088 KB Output is correct
8 Correct 1513 ms 166688 KB Output is correct
9 Correct 1384 ms 167196 KB Output is correct
10 Correct 1716 ms 167196 KB Output is correct
11 Correct 1627 ms 167196 KB Output is correct
12 Correct 1632 ms 167392 KB Output is correct
13 Correct 1646 ms 171340 KB Output is correct
14 Correct 1643 ms 171340 KB Output is correct
15 Correct 1459 ms 171340 KB Output is correct
16 Correct 3 ms 171340 KB Output is correct
17 Correct 4 ms 171340 KB Output is correct
18 Correct 3 ms 171340 KB Output is correct
19 Correct 3 ms 171340 KB Output is correct
20 Correct 3 ms 171340 KB Output is correct
21 Correct 3 ms 171340 KB Output is correct
22 Correct 3 ms 171340 KB Output is correct
23 Correct 5 ms 171340 KB Output is correct
24 Correct 3 ms 171340 KB Output is correct
25 Correct 2 ms 171340 KB Output is correct
26 Correct 3 ms 171340 KB Output is correct
27 Correct 3 ms 171340 KB Output is correct
28 Correct 2 ms 171340 KB Output is correct
29 Correct 4 ms 171340 KB Output is correct
30 Correct 3 ms 171340 KB Output is correct
31 Correct 3 ms 171340 KB Output is correct
32 Correct 2 ms 171340 KB Output is correct
33 Correct 2 ms 171340 KB Output is correct
34 Correct 2 ms 171340 KB Output is correct
35 Correct 3 ms 171340 KB Output is correct
36 Correct 21 ms 171340 KB Output is correct
37 Correct 21 ms 171340 KB Output is correct
38 Correct 15 ms 171340 KB Output is correct
39 Correct 16 ms 171340 KB Output is correct
40 Correct 17 ms 171340 KB Output is correct
41 Correct 18 ms 171340 KB Output is correct
42 Correct 21 ms 171340 KB Output is correct
43 Correct 23 ms 171340 KB Output is correct
44 Correct 20 ms 171340 KB Output is correct
45 Correct 26 ms 171340 KB Output is correct
46 Correct 21 ms 171340 KB Output is correct
47 Correct 22 ms 171340 KB Output is correct
48 Correct 12 ms 171340 KB Output is correct
49 Correct 16 ms 171340 KB Output is correct
50 Correct 13 ms 171340 KB Output is correct
51 Correct 1789 ms 171340 KB Output is correct
52 Correct 1750 ms 171340 KB Output is correct
53 Correct 1443 ms 171340 KB Output is correct
54 Correct 1909 ms 189776 KB Output is correct
55 Correct 1739 ms 189776 KB Output is correct
56 Correct 1698 ms 190016 KB Output is correct
57 Correct 1814 ms 190016 KB Output is correct
58 Correct 1755 ms 190016 KB Output is correct
59 Correct 1712 ms 190016 KB Output is correct
60 Correct 1910 ms 190016 KB Output is correct
61 Correct 1884 ms 190016 KB Output is correct
62 Correct 1976 ms 190016 KB Output is correct
63 Correct 707 ms 190016 KB Output is correct
64 Correct 753 ms 190016 KB Output is correct
65 Correct 715 ms 190016 KB Output is correct
66 Correct 1413 ms 190540 KB Output is correct
67 Correct 1526 ms 190844 KB Output is correct
68 Correct 1734 ms 190892 KB Output is correct