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답안 #1059569

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1059569 2024-08-15T05:31:47 Z pcc 분수 공원 (IOI21_parks) C++17
15 / 100
 2827 ms 2097152 KB 
#include "parks.h"
#include <bits/stdc++.h>
using namespace std;

#define pii pair<int,int>
#define fs first
#define sc second

const int mxn = 2e5+10;
int N;

struct DSU{
	int dsu[mxn];
	DSU(){
		iota(dsu,dsu+mxn,0);
	}
	int root(int k){
		return k == dsu[k]?k:dsu[k] = root(dsu[k]);
	}
	void onion(int a,int b){
		dsu[root(a)] = root(b);
	}
};

DSU dsu;

struct DINIC{
	struct E{
		int t,f,c;
		E(int tt = 0,int cc = 0,int ff = 0):t(tt),c(cc),f(ff){}
	};
	vector<int> lvl,ptr;
	vector<vector<int>> paths;
	vector<E> e;
	DINIC(int n){
		lvl = vector<int>(n,0);
		ptr = vector<int>(n,0);
		paths.resize(n);
		e.clear();
	}
	void add_edge(int a,int b,int c,int d = 0){
		paths[a].push_back(e.size());
		e.push_back(E(b,c,0));
		paths[b].push_back(e.size());
		e.push_back(E(a,d,0));
		return;
	}
	queue<int> q;
	bool bfs(int s,int t){
		fill(lvl.begin(),lvl.end(),-1);
		fill(ptr.begin(),ptr.end(),0);
		lvl[s] = 0;
		q.push(s);
		while(!q.empty()){
			auto now = q.front();
			q.pop();
			for(int i = 0;i<paths[now].size();i++){
				int eid = paths[now][i];
				if(e[eid].f == e[eid].c||lvl[e[eid].t] != -1)continue;
				lvl[e[eid].t] = lvl[now]+1;
				q.push(e[eid].t);
			}
		}
		return lvl[t] != -1;
	}
	int dfs(int now,int t,int fl){
		if(now == t)return fl;
		for(int &i = ptr[now];i<paths[now].size();i++){
			int eid = paths[now][i];
			if(e[eid].f == e[eid].c)continue;
			int nxt = e[eid].t;
			int re = 0;
			if(re = dfs(nxt,t,min(fl,e[eid].c-e[eid].f))){
				e[eid].f += re;
				e[eid^1].f -= re;
				return re;
			}
		}
		return 0;
	}
	int flow(int s,int t){
		int ans = 0;
		while(bfs(s,t)){
			int re = 0;
			while(re = dfs(s,t,INT_MAX))ans += re;
		}
		return ans;
	}
};


vector<int> ans[4];

void addans(int s,int e,int x,int y){
	dsu.onion(s,e);
	ans[0].push_back(s);
	ans[1].push_back(e);
	ans[2].push_back(x);
	ans[3].push_back(y);
	return;
}

map<pii,int> mp;
vector<pii> edges;
vector<pii> all;

void check(int a,int b){
	if(dsu.root(a) == dsu.root(b))return;
	edges.push_back(pii(a,b));
	dsu.onion(a,b);
	return;
}

int construct_roads(std::vector<int> x, std::vector<int> y) {
    if (x.size() == 1) {
		build({}, {}, {}, {});
        return 1;
    }
	N = x.size();
	for(int i = 0;i<N;i++){
		pii pos = pii(x[i],y[i]);
		if(mp.find(pii(pos.fs-2,pos.sc)) != mp.end())check(mp[pii(pos.fs-2,pos.sc)],i);
		if(mp.find(pii(pos.fs+2,pos.sc)) != mp.end())check(mp[pii(pos.fs+2,pos.sc)],i);
		if(mp.find(pii(pos.fs,pos.sc-2)) != mp.end())check(mp[pii(pos.fs,pos.sc-2)],i);
		if(mp.find(pii(pos.fs,pos.sc+2)) != mp.end())check(mp[pii(pos.fs,pos.sc+2)],i);
		mp[pos] = i;
	}
	if(edges.size() != N-1)return 0;
	for(int i = 0;i<edges.size();i++){
		auto [s,e] = edges[i];
		if(x[s]>x[e])swap(s,e);
		if(x[s] == x[e]&&y[s]>y[e])swap(s,e);
		if(x[s] == x[e]){
			all.push_back(pii(x[s]-1,(y[s]+y[e])>>1));
			all.push_back(pii(x[s]+1,(y[s]+y[e])>>1));
		}
		else if(y[s] == y[e]){
			all.push_back(pii((x[s]+x[e])>>1,y[s]-1));
			all.push_back(pii((x[s]+x[e])>>1,y[s]+1));
		}
	}
	cerr<<"EDGES: ";for(auto [s,e]:edges)cerr<<s<<' '<<e<<endl;
	sort(all.begin(),all.end());all.erase(unique(all.begin(),all.end()),all.end());
	DINIC g(all.size()+edges.size()+2);
	int s = all.size()+edges.size();int t = s+1;
	for(int i = 0;i<edges.size();i++){
		g.add_edge(s,i,1);
	}
	for(int i = 0;i<all.size();i++){
		g.add_edge(edges.size()+i,t,1);
	}
	for(int i = 0;i<edges.size();i++){
		auto [s,e] = edges[i];
		if(x[s] == x[e]){
			int p = lower_bound(all.begin(),all.end(),pii(x[s]-1,(y[s]+y[e])>>1))-all.begin();
			g.add_edge(i,p+edges.size(),1);
			p = lower_bound(all.begin(),all.end(),pii(x[s]+1,(y[s]+y[e])>>1))-all.begin();
			g.add_edge(i,p+edges.size(),1);
		}
		else if(y[s] == y[e]){
			int p = lower_bound(all.begin(),all.end(),pii((x[s]+x[e])>>1,y[s]-1))-all.begin();
			g.add_edge(i,p+edges.size(),1);
			p = lower_bound(all.begin(),all.end(),pii((x[s]+x[e])>>1,y[s]+1))-all.begin();
			g.add_edge(i,p+edges.size(),1);
		}
	}
	int re = g.flow(s,t);
	if(re != N-1)return 0;
	for(int i = 0;i<edges.size();i++){
		for(int j = 0;j<g.paths[i].size();j++){
			int eid = g.paths[i][j];
			int nxt = g.e[eid].t;
			if(g.e[eid].f == 1){
				addans(edges[i].fs,edges[i].sc,all[nxt-edges.size()].fs,all[nxt-edges.size()].sc);
			}
		}
	}
	build(ans[0],ans[1],ans[2],ans[3]);
	return 1;
}

Compilation message

parks.cpp: In constructor 'DINIC::E::E(int, int, int)':
parks.cpp:29:11: warning: 'DINIC::E::c' will be initialized after [-Wreorder]
   29 |   int t,f,c;
      |           ^
parks.cpp:29:9: warning:   'int DINIC::E::f' [-Wreorder]
   29 |   int t,f,c;
      |         ^
parks.cpp:30:3: warning:   when initialized here [-Wreorder]
   30 |   E(int tt = 0,int cc = 0,int ff = 0):t(tt),c(cc),f(ff){}
      |   ^
parks.cpp: In member function 'bool DINIC::bfs(int, int)':
parks.cpp:57:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   57 |    for(int i = 0;i<paths[now].size();i++){
      |                  ~^~~~~~~~~~~~~~~~~~
parks.cpp: In member function 'int DINIC::dfs(int, int, int)':
parks.cpp:68:26: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   68 |   for(int &i = ptr[now];i<paths[now].size();i++){
      |                         ~^~~~~~~~~~~~~~~~~~
parks.cpp:73:10: warning: suggest parentheses around assignment used as truth value [-Wparentheses]
   73 |    if(re = dfs(nxt,t,min(fl,e[eid].c-e[eid].f))){
      |       ~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
parks.cpp: In member function 'int DINIC::flow(int, int)':
parks.cpp:85:13: warning: suggest parentheses around assignment used as truth value [-Wparentheses]
   85 |    while(re = dfs(s,t,INT_MAX))ans += re;
      |          ~~~^~~~~~~~~~~~~~~~~~
parks.cpp: In function 'int construct_roads(std::vector<int>, std::vector<int>)':
parks.cpp:128:18: warning: comparison of integer expressions of different signedness: 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  128 |  if(edges.size() != N-1)return 0;
      |     ~~~~~~~~~~~~~^~~~~~
parks.cpp:129:17: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  129 |  for(int i = 0;i<edges.size();i++){
      |                ~^~~~~~~~~~~~~
parks.cpp:146:17: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  146 |  for(int i = 0;i<edges.size();i++){
      |                ~^~~~~~~~~~~~~
parks.cpp:149:17: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  149 |  for(int i = 0;i<all.size();i++){
      |                ~^~~~~~~~~~~
parks.cpp:152:17: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  152 |  for(int i = 0;i<edges.size();i++){
      |                ~^~~~~~~~~~~~~
parks.cpp:169:17: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  169 |  for(int i = 0;i<edges.size();i++){
      |                ~^~~~~~~~~~~~~
parks.cpp:170:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  170 |   for(int j = 0;j<g.paths[i].size();j++){
      |                 ~^~~~~~~~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 1116 KB Output is correct
2 Correct 1 ms 1116 KB Output is correct
3 Correct 1 ms 1116 KB Output is correct
4 Correct 1 ms 1116 KB Output is correct
5 Correct 1 ms 1116 KB Output is correct
6 Correct 0 ms 1116 KB Output is correct
7 Correct 0 ms 1116 KB Output is correct
8 Correct 0 ms 1116 KB Output is correct
9 Correct 621 ms 50592 KB Output is correct
10 Correct 59 ms 6280 KB Output is correct
11 Correct 283 ms 30856 KB Output is correct
12 Correct 83 ms 8880 KB Output is correct
13 Correct 26 ms 5320 KB Output is correct
14 Correct 1 ms 1116 KB Output is correct
15 Correct 1 ms 1372 KB Output is correct
16 Correct 609 ms 50400 KB Output is correct

Subtask #2
10.0 / 10.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 1116 KB Output is correct
2 Correct 1 ms 1116 KB Output is correct
3 Correct 1 ms 1116 KB Output is correct
4 Correct 1 ms 1116 KB Output is correct
5 Correct 1 ms 1116 KB Output is correct
6 Correct 0 ms 1116 KB Output is correct
7 Correct 0 ms 1116 KB Output is correct
8 Correct 0 ms 1116 KB Output is correct
9 Correct 621 ms 50592 KB Output is correct
10 Correct 59 ms 6280 KB Output is correct
11 Correct 283 ms 30856 KB Output is correct
12 Correct 83 ms 8880 KB Output is correct
13 Correct 26 ms 5320 KB Output is correct
14 Correct 1 ms 1116 KB Output is correct
15 Correct 1 ms 1372 KB Output is correct
16 Correct 609 ms 50400 KB Output is correct
17 Correct 1 ms 1112 KB Output is correct
18 Correct 1 ms 1116 KB Output is correct
19 Correct 1 ms 1116 KB Output is correct
20 Correct 1 ms 1116 KB Output is correct
21 Correct 1 ms 1116 KB Output is correct
22 Correct 1 ms 1116 KB Output is correct
23 Correct 1341 ms 82704 KB Output is correct
24 Correct 1 ms 1116 KB Output is correct
25 Correct 7 ms 1656 KB Output is correct
26 Correct 2 ms 1368 KB Output is correct
27 Correct 3 ms 1372 KB Output is correct
28 Correct 507 ms 33712 KB Output is correct
29 Correct 922 ms 49704 KB Output is correct
30 Correct 1168 ms 66684 KB Output is correct
31 Correct 1497 ms 82336 KB Output is correct
32 Correct 1 ms 1116 KB Output is correct
33 Correct 1 ms 1220 KB Output is correct
34 Correct 1 ms 1116 KB Output is correct
35 Correct 1 ms 1116 KB Output is correct
36 Correct 1 ms 1116 KB Output is correct
37 Correct 1 ms 1112 KB Output is correct
38 Correct 1 ms 1116 KB Output is correct
39 Correct 1 ms 1116 KB Output is correct
40 Correct 1 ms 1116 KB Output is correct
41 Correct 1 ms 1116 KB Output is correct
42 Correct 1 ms 1116 KB Output is correct
43 Correct 2 ms 1372 KB Output is correct
44 Correct 3 ms 1372 KB Output is correct
45 Correct 703 ms 45496 KB Output is correct
46 Correct 944 ms 66620 KB Output is correct
47 Correct 1012 ms 66440 KB Output is correct

Subtask #3
0 / 15.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 1116 KB Output is correct
2 Correct 1 ms 1116 KB Output is correct
3 Correct 1 ms 1116 KB Output is correct
4 Correct 1 ms 1116 KB Output is correct
5 Correct 1 ms 1116 KB Output is correct
6 Correct 0 ms 1116 KB Output is correct
7 Correct 0 ms 1116 KB Output is correct
8 Correct 0 ms 1116 KB Output is correct
9 Correct 621 ms 50592 KB Output is correct
10 Correct 59 ms 6280 KB Output is correct
11 Correct 283 ms 30856 KB Output is correct
12 Correct 83 ms 8880 KB Output is correct
13 Correct 26 ms 5320 KB Output is correct
14 Correct 1 ms 1116 KB Output is correct
15 Correct 1 ms 1372 KB Output is correct
16 Correct 609 ms 50400 KB Output is correct
17 Correct 1 ms 1112 KB Output is correct
18 Correct 1 ms 1116 KB Output is correct
19 Correct 1 ms 1116 KB Output is correct
20 Correct 1 ms 1116 KB Output is correct
21 Correct 1 ms 1116 KB Output is correct
22 Correct 1 ms 1116 KB Output is correct
23 Correct 1341 ms 82704 KB Output is correct
24 Correct 1 ms 1116 KB Output is correct
25 Correct 7 ms 1656 KB Output is correct
26 Correct 2 ms 1368 KB Output is correct
27 Correct 3 ms 1372 KB Output is correct
28 Correct 507 ms 33712 KB Output is correct
29 Correct 922 ms 49704 KB Output is correct
30 Correct 1168 ms 66684 KB Output is correct
31 Correct 1497 ms 82336 KB Output is correct
32 Correct 1 ms 1116 KB Output is correct
33 Correct 1 ms 1220 KB Output is correct
34 Correct 1 ms 1116 KB Output is correct
35 Correct 1 ms 1116 KB Output is correct
36 Correct 1 ms 1116 KB Output is correct
37 Correct 1 ms 1112 KB Output is correct
38 Correct 1 ms 1116 KB Output is correct
39 Correct 1 ms 1116 KB Output is correct
40 Correct 1 ms 1116 KB Output is correct
41 Correct 1 ms 1116 KB Output is correct
42 Correct 1 ms 1116 KB Output is correct
43 Correct 2 ms 1372 KB Output is correct
44 Correct 3 ms 1372 KB Output is correct
45 Correct 703 ms 45496 KB Output is correct
46 Correct 944 ms 66620 KB Output is correct
47 Correct 1012 ms 66440 KB Output is correct
48 Correct 1 ms 1224 KB Output is correct
49 Correct 1 ms 1116 KB Output is correct
50 Correct 1 ms 1116 KB Output is correct
51 Correct 1 ms 1116 KB Output is correct
52 Correct 1 ms 1124 KB Output is correct
53 Correct 1 ms 1116 KB Output is correct
54 Correct 1 ms 1116 KB Output is correct
55 Runtime error 2827 ms 2097152 KB Execution killed with signal 9
56 Halted 0 ms 0 KB -

Subtask #4
0 / 20.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 1116 KB Output is correct
2 Correct 1 ms 1116 KB Output is correct
3 Correct 1 ms 1116 KB Output is correct
4 Correct 1 ms 1116 KB Output is correct
5 Correct 1 ms 1116 KB Output is correct
6 Correct 0 ms 1116 KB Output is correct
7 Correct 0 ms 1116 KB Output is correct
8 Correct 0 ms 1116 KB Output is correct
9 Correct 621 ms 50592 KB Output is correct
10 Correct 59 ms 6280 KB Output is correct
11 Correct 283 ms 30856 KB Output is correct
12 Correct 83 ms 8880 KB Output is correct
13 Correct 26 ms 5320 KB Output is correct
14 Correct 1 ms 1116 KB Output is correct
15 Correct 1 ms 1372 KB Output is correct
16 Correct 609 ms 50400 KB Output is correct
17 Correct 1 ms 1112 KB Output is correct
18 Correct 1 ms 1116 KB Output is correct
19 Correct 1 ms 1128 KB Output is correct
20 Runtime error 2820 ms 2097152 KB Execution killed with signal 9
21 Halted 0 ms 0 KB -

Subtask #5
0 / 20.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 1116 KB Output is correct
2 Correct 1 ms 1116 KB Output is correct
3 Correct 1 ms 1116 KB Output is correct
4 Correct 1 ms 1116 KB Output is correct
5 Correct 1 ms 1116 KB Output is correct
6 Correct 0 ms 1116 KB Output is correct
7 Correct 0 ms 1116 KB Output is correct
8 Correct 0 ms 1116 KB Output is correct
9 Correct 621 ms 50592 KB Output is correct
10 Correct 59 ms 6280 KB Output is correct
11 Correct 283 ms 30856 KB Output is correct
12 Correct 83 ms 8880 KB Output is correct
13 Correct 26 ms 5320 KB Output is correct
14 Correct 1 ms 1116 KB Output is correct
15 Correct 1 ms 1372 KB Output is correct
16 Correct 609 ms 50400 KB Output is correct
17 Correct 1432 ms 101016 KB Output is correct
18 Correct 1438 ms 100224 KB Output is correct
19 Runtime error 2658 ms 2097152 KB Execution killed with signal 9
20 Halted 0 ms 0 KB -

Subtask #6
0 / 30.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 1116 KB Output is correct
2 Correct 1 ms 1116 KB Output is correct
3 Correct 1 ms 1116 KB Output is correct
4 Correct 1 ms 1116 KB Output is correct
5 Correct 1 ms 1116 KB Output is correct
6 Correct 0 ms 1116 KB Output is correct
7 Correct 0 ms 1116 KB Output is correct
8 Correct 0 ms 1116 KB Output is correct
9 Correct 621 ms 50592 KB Output is correct
10 Correct 59 ms 6280 KB Output is correct
11 Correct 283 ms 30856 KB Output is correct
12 Correct 83 ms 8880 KB Output is correct
13 Correct 26 ms 5320 KB Output is correct
14 Correct 1 ms 1116 KB Output is correct
15 Correct 1 ms 1372 KB Output is correct
16 Correct 609 ms 50400 KB Output is correct
17 Correct 1 ms 1112 KB Output is correct
18 Correct 1 ms 1116 KB Output is correct
19 Correct 1 ms 1116 KB Output is correct
20 Correct 1 ms 1116 KB Output is correct
21 Correct 1 ms 1116 KB Output is correct
22 Correct 1 ms 1116 KB Output is correct
23 Correct 1341 ms 82704 KB Output is correct
24 Correct 1 ms 1116 KB Output is correct
25 Correct 7 ms 1656 KB Output is correct
26 Correct 2 ms 1368 KB Output is correct
27 Correct 3 ms 1372 KB Output is correct
28 Correct 507 ms 33712 KB Output is correct
29 Correct 922 ms 49704 KB Output is correct
30 Correct 1168 ms 66684 KB Output is correct
31 Correct 1497 ms 82336 KB Output is correct
32 Correct 1 ms 1116 KB Output is correct
33 Correct 1 ms 1220 KB Output is correct
34 Correct 1 ms 1116 KB Output is correct
35 Correct 1 ms 1116 KB Output is correct
36 Correct 1 ms 1116 KB Output is correct
37 Correct 1 ms 1112 KB Output is correct
38 Correct 1 ms 1116 KB Output is correct
39 Correct 1 ms 1116 KB Output is correct
40 Correct 1 ms 1116 KB Output is correct
41 Correct 1 ms 1116 KB Output is correct
42 Correct 1 ms 1116 KB Output is correct
43 Correct 2 ms 1372 KB Output is correct
44 Correct 3 ms 1372 KB Output is correct
45 Correct 703 ms 45496 KB Output is correct
46 Correct 944 ms 66620 KB Output is correct
47 Correct 1012 ms 66440 KB Output is correct
48 Correct 1 ms 1224 KB Output is correct
49 Correct 1 ms 1116 KB Output is correct
50 Correct 1 ms 1116 KB Output is correct
51 Correct 1 ms 1116 KB Output is correct
52 Correct 1 ms 1124 KB Output is correct
53 Correct 1 ms 1116 KB Output is correct
54 Correct 1 ms 1116 KB Output is correct
55 Runtime error 2827 ms 2097152 KB Execution killed with signal 9
56 Halted 0 ms 0 KB -