oj.uz

Submission #1059576

# Submission time Handle Problem Language Result Execution time Memory
1059576 2024-08-15T05:37:02 Z pcc Fountain Parks (IOI21_parks) C++17
15 / 100
 1855 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));
		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);
	assert(ans[0].size()<N);
	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: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;
      |          ~~~^~~~~~~~~~~~~~~~~~
In file included from /usr/include/c++/10/cassert:44,
                 from /usr/include/x86_64-linux-gnu/c++/10/bits/stdc++.h:33,
                 from parks.cpp:2:
parks.cpp: In function 'void addans(int, int, int, int)':
parks.cpp:100:22: warning: comparison of integer expressions of different signedness: 'std::vector<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  100 |  assert(ans[0].size()<N);
      |         ~~~~~~~~~~~~~^~
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

# Verdict Execution time Memory 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 1220 KB Output is correct
6 Correct 1 ms 1116 KB Output is correct
7 Correct 1 ms 1116 KB Output is correct
8 Correct 1 ms 1116 KB Output is correct
9 Correct 250 ms 50548 KB Output is correct
10 Correct 22 ms 6436 KB Output is correct
11 Correct 86 ms 30208 KB Output is correct
12 Correct 21 ms 8892 KB Output is correct
13 Correct 28 ms 5316 KB Output is correct
14 Correct 1 ms 1116 KB Output is correct
15 Correct 2 ms 1232 KB Output is correct
16 Correct 232 ms 50496 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory 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 1220 KB Output is correct
6 Correct 1 ms 1116 KB Output is correct
7 Correct 1 ms 1116 KB Output is correct
8 Correct 1 ms 1116 KB Output is correct
9 Correct 250 ms 50548 KB Output is correct
10 Correct 22 ms 6436 KB Output is correct
11 Correct 86 ms 30208 KB Output is correct
12 Correct 21 ms 8892 KB Output is correct
13 Correct 28 ms 5316 KB Output is correct
14 Correct 1 ms 1116 KB Output is correct
15 Correct 2 ms 1232 KB Output is correct
16 Correct 232 ms 50496 KB Output is correct
17 Correct 1 ms 1120 KB Output is correct
18 Correct 1 ms 1124 KB Output is correct
19 Correct 1 ms 1120 KB Output is correct
20 Correct 1 ms 1120 KB Output is correct
21 Correct 0 ms 1120 KB Output is correct
22 Correct 0 ms 1120 KB Output is correct
23 Correct 588 ms 82936 KB Output is correct
24 Correct 1 ms 1112 KB Output is correct
25 Correct 2 ms 1632 KB Output is correct
26 Correct 2 ms 1496 KB Output is correct
27 Correct 3 ms 1384 KB Output is correct
28 Correct 180 ms 33864 KB Output is correct
29 Correct 297 ms 49988 KB Output is correct
30 Correct 433 ms 67968 KB Output is correct
31 Correct 592 ms 82420 KB Output is correct
32 Correct 1 ms 1112 KB Output is correct
33 Correct 1 ms 1116 KB Output is correct
34 Correct 1 ms 976 KB Output is correct
35 Correct 0 ms 1116 KB Output is correct
36 Correct 1 ms 1112 KB Output is correct
37 Correct 1 ms 1112 KB Output is correct
38 Correct 1 ms 1116 KB Output is correct
39 Correct 0 ms 1116 KB Output is correct
40 Correct 1 ms 1220 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 1292 KB Output is correct
44 Correct 3 ms 1368 KB Output is correct
45 Correct 265 ms 45528 KB Output is correct
46 Correct 397 ms 65176 KB Output is correct
47 Correct 380 ms 66460 KB Output is correct

Subtask #3
0 / 15.0

# Verdict Execution time Memory 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 1220 KB Output is correct
6 Correct 1 ms 1116 KB Output is correct
7 Correct 1 ms 1116 KB Output is correct
8 Correct 1 ms 1116 KB Output is correct
9 Correct 250 ms 50548 KB Output is correct
10 Correct 22 ms 6436 KB Output is correct
11 Correct 86 ms 30208 KB Output is correct
12 Correct 21 ms 8892 KB Output is correct
13 Correct 28 ms 5316 KB Output is correct
14 Correct 1 ms 1116 KB Output is correct
15 Correct 2 ms 1232 KB Output is correct
16 Correct 232 ms 50496 KB Output is correct
17 Correct 1 ms 1120 KB Output is correct
18 Correct 1 ms 1124 KB Output is correct
19 Correct 1 ms 1120 KB Output is correct
20 Correct 1 ms 1120 KB Output is correct
21 Correct 0 ms 1120 KB Output is correct
22 Correct 0 ms 1120 KB Output is correct
23 Correct 588 ms 82936 KB Output is correct
24 Correct 1 ms 1112 KB Output is correct
25 Correct 2 ms 1632 KB Output is correct
26 Correct 2 ms 1496 KB Output is correct
27 Correct 3 ms 1384 KB Output is correct
28 Correct 180 ms 33864 KB Output is correct
29 Correct 297 ms 49988 KB Output is correct
30 Correct 433 ms 67968 KB Output is correct
31 Correct 592 ms 82420 KB Output is correct
32 Correct 1 ms 1112 KB Output is correct
33 Correct 1 ms 1116 KB Output is correct
34 Correct 1 ms 976 KB Output is correct
35 Correct 0 ms 1116 KB Output is correct
36 Correct 1 ms 1112 KB Output is correct
37 Correct 1 ms 1112 KB Output is correct
38 Correct 1 ms 1116 KB Output is correct
39 Correct 0 ms 1116 KB Output is correct
40 Correct 1 ms 1220 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 1292 KB Output is correct
44 Correct 3 ms 1368 KB Output is correct
45 Correct 265 ms 45528 KB Output is correct
46 Correct 397 ms 65176 KB Output is correct
47 Correct 380 ms 66460 KB Output is correct
48 Correct 1 ms 1116 KB Output is correct
49 Correct 1 ms 1112 KB Output is correct
50 Correct 0 ms 1216 KB Output is correct
51 Correct 0 ms 1116 KB Output is correct
52 Correct 1 ms 1116 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 1855 ms 2097152 KB Execution killed with signal 9
56 Halted 0 ms 0 KB -

Subtask #4
0 / 20.0

# Verdict Execution time Memory 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 1220 KB Output is correct
6 Correct 1 ms 1116 KB Output is correct
7 Correct 1 ms 1116 KB Output is correct
8 Correct 1 ms 1116 KB Output is correct
9 Correct 250 ms 50548 KB Output is correct
10 Correct 22 ms 6436 KB Output is correct
11 Correct 86 ms 30208 KB Output is correct
12 Correct 21 ms 8892 KB Output is correct
13 Correct 28 ms 5316 KB Output is correct
14 Correct 1 ms 1116 KB Output is correct
15 Correct 2 ms 1232 KB Output is correct
16 Correct 232 ms 50496 KB Output is correct
17 Correct 1 ms 1116 KB Output is correct
18 Correct 1 ms 1112 KB Output is correct
19 Correct 1 ms 1048 KB Output is correct
20 Runtime error 1780 ms 2097152 KB Execution killed with signal 9
21 Halted 0 ms 0 KB -

Subtask #5
0 / 20.0

# Verdict Execution time Memory 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 1220 KB Output is correct
6 Correct 1 ms 1116 KB Output is correct
7 Correct 1 ms 1116 KB Output is correct
8 Correct 1 ms 1116 KB Output is correct
9 Correct 250 ms 50548 KB Output is correct
10 Correct 22 ms 6436 KB Output is correct
11 Correct 86 ms 30208 KB Output is correct
12 Correct 21 ms 8892 KB Output is correct
13 Correct 28 ms 5316 KB Output is correct
14 Correct 1 ms 1116 KB Output is correct
15 Correct 2 ms 1232 KB Output is correct
16 Correct 232 ms 50496 KB Output is correct
17 Correct 554 ms 100332 KB Output is correct
18 Correct 563 ms 100840 KB Output is correct
19 Runtime error 1731 ms 2097152 KB Execution killed with signal 9
20 Halted 0 ms 0 KB -

Subtask #6
0 / 30.0

# Verdict Execution time Memory 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 1220 KB Output is correct
6 Correct 1 ms 1116 KB Output is correct
7 Correct 1 ms 1116 KB Output is correct
8 Correct 1 ms 1116 KB Output is correct
9 Correct 250 ms 50548 KB Output is correct
10 Correct 22 ms 6436 KB Output is correct
11 Correct 86 ms 30208 KB Output is correct
12 Correct 21 ms 8892 KB Output is correct
13 Correct 28 ms 5316 KB Output is correct
14 Correct 1 ms 1116 KB Output is correct
15 Correct 2 ms 1232 KB Output is correct
16 Correct 232 ms 50496 KB Output is correct
17 Correct 1 ms 1120 KB Output is correct
18 Correct 1 ms 1124 KB Output is correct
19 Correct 1 ms 1120 KB Output is correct
20 Correct 1 ms 1120 KB Output is correct
21 Correct 0 ms 1120 KB Output is correct
22 Correct 0 ms 1120 KB Output is correct
23 Correct 588 ms 82936 KB Output is correct
24 Correct 1 ms 1112 KB Output is correct
25 Correct 2 ms 1632 KB Output is correct
26 Correct 2 ms 1496 KB Output is correct
27 Correct 3 ms 1384 KB Output is correct
28 Correct 180 ms 33864 KB Output is correct
29 Correct 297 ms 49988 KB Output is correct
30 Correct 433 ms 67968 KB Output is correct
31 Correct 592 ms 82420 KB Output is correct
32 Correct 1 ms 1112 KB Output is correct
33 Correct 1 ms 1116 KB Output is correct
34 Correct 1 ms 976 KB Output is correct
35 Correct 0 ms 1116 KB Output is correct
36 Correct 1 ms 1112 KB Output is correct
37 Correct 1 ms 1112 KB Output is correct
38 Correct 1 ms 1116 KB Output is correct
39 Correct 0 ms 1116 KB Output is correct
40 Correct 1 ms 1220 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 1292 KB Output is correct
44 Correct 3 ms 1368 KB Output is correct
45 Correct 265 ms 45528 KB Output is correct
46 Correct 397 ms 65176 KB Output is correct
47 Correct 380 ms 66460 KB Output is correct
48 Correct 1 ms 1116 KB Output is correct
49 Correct 1 ms 1112 KB Output is correct
50 Correct 0 ms 1216 KB Output is correct
51 Correct 0 ms 1116 KB Output is correct
52 Correct 1 ms 1116 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 1855 ms 2097152 KB Execution killed with signal 9
56 Halted 0 ms 0 KB -