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답안 #1059577

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1059577 2024-08-15T05:37:50 Z pcc 분수 공원 (IOI21_parks) C++17
15 / 100
 1815 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 = 0){
		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));
		assert(e.size()<=1e7);
		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;
DINIC g;

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());
	g = DINIC(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:58:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   58 |    for(int i = 0;i<paths[now].size();i++){
      |                  ~^~~~~~~~~~~~~~~~~~
parks.cpp: In member function 'int DINIC::dfs(int, int, int)':
parks.cpp:69:26: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   69 |   for(int &i = ptr[now];i<paths[now].size();i++){
      |                         ~^~~~~~~~~~~~~~~~~~
parks.cpp:74:10: warning: suggest parentheses around assignment used as truth value [-Wparentheses]
   74 |    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:86:13: warning: suggest parentheses around assignment used as truth value [-Wparentheses]
   86 |    while(re = dfs(s,t,INT_MAX))ans += re;
      |          ~~~^~~~~~~~~~~~~~~~~~
parks.cpp: In function 'int construct_roads(std::vector<int>, std::vector<int>)':
parks.cpp:130:18: warning: comparison of integer expressions of different signedness: 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  130 |  if(edges.size() != N-1)return 0;
      |     ~~~~~~~~~~~~~^~~~~~
parks.cpp:131:17: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  131 |  for(int i = 0;i<edges.size();i++){
      |                ~^~~~~~~~~~~~~
parks.cpp:148:17: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  148 |  for(int i = 0;i<edges.size();i++){
      |                ~^~~~~~~~~~~~~
parks.cpp:151:17: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  151 |  for(int i = 0;i<all.size();i++){
      |                ~^~~~~~~~~~~
parks.cpp:154:17: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  154 |  for(int i = 0;i<edges.size();i++){
      |                ~^~~~~~~~~~~~~
parks.cpp:171:17: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  171 |  for(int i = 0;i<edges.size();i++){
      |                ~^~~~~~~~~~~~~
parks.cpp:172:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  172 |   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 1112 KB Output is correct
5 Correct 1 ms 1112 KB Output is correct
6 Correct 1 ms 1112 KB Output is correct
7 Correct 0 ms 1116 KB Output is correct
8 Correct 1 ms 1116 KB Output is correct
9 Correct 219 ms 50700 KB Output is correct
10 Correct 13 ms 6288 KB Output is correct
11 Correct 86 ms 29984 KB Output is correct
12 Correct 20 ms 10128 KB Output is correct
13 Correct 25 ms 5396 KB Output is correct
14 Correct 1 ms 1116 KB Output is correct
15 Correct 2 ms 1372 KB Output is correct
16 Correct 218 ms 50708 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 1112 KB Output is correct
5 Correct 1 ms 1112 KB Output is correct
6 Correct 1 ms 1112 KB Output is correct
7 Correct 0 ms 1116 KB Output is correct
8 Correct 1 ms 1116 KB Output is correct
9 Correct 219 ms 50700 KB Output is correct
10 Correct 13 ms 6288 KB Output is correct
11 Correct 86 ms 29984 KB Output is correct
12 Correct 20 ms 10128 KB Output is correct
13 Correct 25 ms 5396 KB Output is correct
14 Correct 1 ms 1116 KB Output is correct
15 Correct 2 ms 1372 KB Output is correct
16 Correct 218 ms 50708 KB Output is correct
17 Correct 1 ms 1112 KB Output is correct
18 Correct 1 ms 1112 KB Output is correct
19 Correct 1 ms 1116 KB Output is correct
20 Correct 1 ms 1116 KB Output is correct
21 Correct 0 ms 1116 KB Output is correct
22 Correct 1 ms 1116 KB Output is correct
23 Correct 560 ms 83448 KB Output is correct
24 Correct 1 ms 1116 KB Output is correct
25 Correct 2 ms 1656 KB Output is correct
26 Correct 2 ms 1372 KB Output is correct
27 Correct 3 ms 1368 KB Output is correct
28 Correct 183 ms 33664 KB Output is correct
29 Correct 288 ms 50012 KB Output is correct
30 Correct 443 ms 67976 KB Output is correct
31 Correct 542 ms 82408 KB Output is correct
32 Correct 1 ms 1116 KB Output is correct
33 Correct 1 ms 1116 KB Output is correct
34 Correct 0 ms 1116 KB Output is correct
35 Correct 1 ms 1112 KB Output is correct
36 Correct 1 ms 1116 KB Output is correct
37 Correct 1 ms 1116 KB Output is correct
38 Correct 0 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 0 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 1368 KB Output is correct
45 Correct 231 ms 45588 KB Output is correct
46 Correct 379 ms 66820 KB Output is correct
47 Correct 384 ms 65436 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 1112 KB Output is correct
5 Correct 1 ms 1112 KB Output is correct
6 Correct 1 ms 1112 KB Output is correct
7 Correct 0 ms 1116 KB Output is correct
8 Correct 1 ms 1116 KB Output is correct
9 Correct 219 ms 50700 KB Output is correct
10 Correct 13 ms 6288 KB Output is correct
11 Correct 86 ms 29984 KB Output is correct
12 Correct 20 ms 10128 KB Output is correct
13 Correct 25 ms 5396 KB Output is correct
14 Correct 1 ms 1116 KB Output is correct
15 Correct 2 ms 1372 KB Output is correct
16 Correct 218 ms 50708 KB Output is correct
17 Correct 1 ms 1112 KB Output is correct
18 Correct 1 ms 1112 KB Output is correct
19 Correct 1 ms 1116 KB Output is correct
20 Correct 1 ms 1116 KB Output is correct
21 Correct 0 ms 1116 KB Output is correct
22 Correct 1 ms 1116 KB Output is correct
23 Correct 560 ms 83448 KB Output is correct
24 Correct 1 ms 1116 KB Output is correct
25 Correct 2 ms 1656 KB Output is correct
26 Correct 2 ms 1372 KB Output is correct
27 Correct 3 ms 1368 KB Output is correct
28 Correct 183 ms 33664 KB Output is correct
29 Correct 288 ms 50012 KB Output is correct
30 Correct 443 ms 67976 KB Output is correct
31 Correct 542 ms 82408 KB Output is correct
32 Correct 1 ms 1116 KB Output is correct
33 Correct 1 ms 1116 KB Output is correct
34 Correct 0 ms 1116 KB Output is correct
35 Correct 1 ms 1112 KB Output is correct
36 Correct 1 ms 1116 KB Output is correct
37 Correct 1 ms 1116 KB Output is correct
38 Correct 0 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 0 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 1368 KB Output is correct
45 Correct 231 ms 45588 KB Output is correct
46 Correct 379 ms 66820 KB Output is correct
47 Correct 384 ms 65436 KB Output is correct
48 Correct 1 ms 1116 KB Output is correct
49 Correct 0 ms 1116 KB Output is correct
50 Correct 0 ms 1116 KB Output is correct
51 Correct 1 ms 1116 KB Output is correct
52 Correct 1 ms 1224 KB Output is correct
53 Correct 1 ms 1116 KB Output is correct
54 Correct 0 ms 1116 KB Output is correct
55 Runtime error 1815 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 1112 KB Output is correct
5 Correct 1 ms 1112 KB Output is correct
6 Correct 1 ms 1112 KB Output is correct
7 Correct 0 ms 1116 KB Output is correct
8 Correct 1 ms 1116 KB Output is correct
9 Correct 219 ms 50700 KB Output is correct
10 Correct 13 ms 6288 KB Output is correct
11 Correct 86 ms 29984 KB Output is correct
12 Correct 20 ms 10128 KB Output is correct
13 Correct 25 ms 5396 KB Output is correct
14 Correct 1 ms 1116 KB Output is correct
15 Correct 2 ms 1372 KB Output is correct
16 Correct 218 ms 50708 KB Output is correct
17 Correct 1 ms 1116 KB Output is correct
18 Correct 1 ms 1116 KB Output is correct
19 Correct 1 ms 1116 KB Output is correct
20 Runtime error 1791 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 1112 KB Output is correct
5 Correct 1 ms 1112 KB Output is correct
6 Correct 1 ms 1112 KB Output is correct
7 Correct 0 ms 1116 KB Output is correct
8 Correct 1 ms 1116 KB Output is correct
9 Correct 219 ms 50700 KB Output is correct
10 Correct 13 ms 6288 KB Output is correct
11 Correct 86 ms 29984 KB Output is correct
12 Correct 20 ms 10128 KB Output is correct
13 Correct 25 ms 5396 KB Output is correct
14 Correct 1 ms 1116 KB Output is correct
15 Correct 2 ms 1372 KB Output is correct
16 Correct 218 ms 50708 KB Output is correct
17 Correct 522 ms 101104 KB Output is correct
18 Correct 516 ms 100836 KB Output is correct
19 Runtime error 1708 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 1112 KB Output is correct
5 Correct 1 ms 1112 KB Output is correct
6 Correct 1 ms 1112 KB Output is correct
7 Correct 0 ms 1116 KB Output is correct
8 Correct 1 ms 1116 KB Output is correct
9 Correct 219 ms 50700 KB Output is correct
10 Correct 13 ms 6288 KB Output is correct
11 Correct 86 ms 29984 KB Output is correct
12 Correct 20 ms 10128 KB Output is correct
13 Correct 25 ms 5396 KB Output is correct
14 Correct 1 ms 1116 KB Output is correct
15 Correct 2 ms 1372 KB Output is correct
16 Correct 218 ms 50708 KB Output is correct
17 Correct 1 ms 1112 KB Output is correct
18 Correct 1 ms 1112 KB Output is correct
19 Correct 1 ms 1116 KB Output is correct
20 Correct 1 ms 1116 KB Output is correct
21 Correct 0 ms 1116 KB Output is correct
22 Correct 1 ms 1116 KB Output is correct
23 Correct 560 ms 83448 KB Output is correct
24 Correct 1 ms 1116 KB Output is correct
25 Correct 2 ms 1656 KB Output is correct
26 Correct 2 ms 1372 KB Output is correct
27 Correct 3 ms 1368 KB Output is correct
28 Correct 183 ms 33664 KB Output is correct
29 Correct 288 ms 50012 KB Output is correct
30 Correct 443 ms 67976 KB Output is correct
31 Correct 542 ms 82408 KB Output is correct
32 Correct 1 ms 1116 KB Output is correct
33 Correct 1 ms 1116 KB Output is correct
34 Correct 0 ms 1116 KB Output is correct
35 Correct 1 ms 1112 KB Output is correct
36 Correct 1 ms 1116 KB Output is correct
37 Correct 1 ms 1116 KB Output is correct
38 Correct 0 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 0 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 1368 KB Output is correct
45 Correct 231 ms 45588 KB Output is correct
46 Correct 379 ms 66820 KB Output is correct
47 Correct 384 ms 65436 KB Output is correct
48 Correct 1 ms 1116 KB Output is correct
49 Correct 0 ms 1116 KB Output is correct
50 Correct 0 ms 1116 KB Output is correct
51 Correct 1 ms 1116 KB Output is correct
52 Correct 1 ms 1224 KB Output is correct
53 Correct 1 ms 1116 KB Output is correct
54 Correct 0 ms 1116 KB Output is correct
55 Runtime error 1815 ms 2097152 KB Execution killed with signal 9
56 Halted 0 ms 0 KB -