oj.uz

Submission #387398

# Submission time Handle Problem Language Result Execution time Memory
387398 2021-04-08T10:33:48 Z kshitij_sodani Tug of War (BOI15_tug) C++14
100 / 100
 1656 ms 57544 KB 
//#pragma GCC optimize("Ofast,unroll-loops")
#include <bits/stdc++.h>
using namespace std;
typedef long long llo;
#define mp make_pair
#define pb push_back
#define a first 
#define b second
//#define endl '\n'

int n,k;
int aa[300001];
int bb[300001];
int it[300001];
set<int> pre[300001];
int ans5[300001];
vector<int> adj[300001];
vector<int> adj2[300001];
int vis[300001];
void add(int i,int j){
	adj[2*i+1].pb(2*j);
	adj[2*j+1].pb(2*i);
	/*cout<<2*i+1<<"<<"<<2*j<<endl;
	cout<<2*j+1<<"<<"<<2*i<<endl;
	cout<<endl;*/
}
void add2(int i,int j){
	adj[2*i].pb(2*j+1);
	adj[2*j].pb(2*i+1);
	/*cout<<2*i+1<<"<<"<<2*j<<endl;
	cout<<2*j+1<<"<<"<<2*i<<endl;
	cout<<endl;*/
}
vector<int> ord;
void dfs(int no){
	vis[no]=1;
	pair<int,int> cur2;
	
	cur2.b=(no%2);
	cur2.a=no/2;

	int ind=cur2.a/2;

	if(cur2.b==1){
		if(cur2.a%2==0){
			pre[aa[ind]].erase(cur2.a);
		}
		else{
			pre[bb[ind]].erase(cur2.a);
		}	
	}
	for(auto j:adj[no]){
		if(vis[j]==0){
			dfs(j);
		}
	}
	if(cur2.b==0){
		if(cur2.a%2==0){
			while(pre[aa[ind]].size()){
				int st=0;
				for(auto j:pre[aa[ind]]){
					if(j!=cur2.a){
						//cout<<no<<":"<<j*2+1<<endl;
						dfs(j*2+1);
						st=1;
						break;
					}
				}
				if(st==0){
					break;
				}
			}
		}
		else{
			while(pre[bb[ind]].size()){
				int st=0;
				for(auto j:pre[bb[ind]]){
					if(j!=cur2.a){
					//	cout<<no<<":"<<j*2+1<<endl;
						dfs(j*2+1);
						st=1;
						break;
					}
				}
				if(st==0){
					break;
				}
			}
		}	
	}
	



	ord.pb(no);
}
int cur=0;
void dfs2(int no){
	vis[no]=cur;
	pair<int,int> cur;
	
	cur.b=(no%2);
	cur.a=no/2;

	int ind=cur.a/2;

	if(cur.b==0){
		if(cur.a%2==0){
			pre[aa[ind]].erase(cur.a);
		}
		else{
			pre[bb[ind]].erase(cur.a);
		}	
	}
	for(auto j:adj2[no]){
		if(vis[j]==0){
			dfs2(j);
		}
	}
	if(cur.b==1){
		if(cur.a%2==0){
			while(pre[aa[ind]].size()){
				int st=0;
				for(auto j:pre[aa[ind]]){
					if(j!=cur.a){
						dfs2(j*2);
						st=1;
						break;
					}
				}
				if(st==0){
					break;
				}
			}
		}
		else{
			while(pre[bb[ind]].size()){
				int st=0;
				for(auto j:pre[bb[ind]]){
					if(j!=cur.a){
						dfs2(j*2);
						st=1;
						break;
					}
				}
				if(st==0){
					break;
				}
			}
		}	
	}
}

vector<int> adj3[300001];
int coo[300001];
int kk[300001];
vector<pair<int,int>> pp;
void dfs3(int no){
	kk[no]=1;
	pp.pb({no,it[ans5[no]]});
	for(auto j:adj3[no]){
		if(kk[j]==0){
			dfs3(j);
		}
	}
}
bool dp[2001][2001*2*20];
int main(){
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);
	cin>>n>>k;
	for(int i=0;i<2*n;i++){
		cin>>aa[i]>>bb[i]>>it[i];
		aa[i]--;
		bb[i]--;
		bb[i]+=n;
		pre[aa[i]].insert(2*i);
		pre[bb[i]].insert(2*i+1);
		add(i*2,i*2+1);
	}
	/*if(n<=10){
		int ans=0;
		for(int i=0;i<(1<<(2*n));i++){
			vector<int> ss;
			vector<int> tt;
			for(int j=0;j<2*n;j++){
				if((1<<j)&i){
					ss.pb(j);
				}
				else{
					tt.pb(j);
				}
			}
			if(ss.size()==n){
				set<int> xx;
				set<int> yy;
				int su=0;
				for(auto j:ss){
					su+=it[j];
					xx.insert(aa[j]);
				}
				for(auto j:tt){
					su-=it[j];
					yy.insert(bb[j]);
				}
				if(abs(su)<=k and xx.size()==n and yy.size()==n){
					ans=1;
				}

			}
		}

		if(ans){
			cout<<"YES"<<endl;
		}
		else{
			cout<<"NO"<<endl;
		}
		return 0;
	}*/

	/*for(int i=0;i<2*n;i++){
		for(auto jj:pre[aa[i]]){
			int j=jj/2;
			if(j!=i){
			//	cout<<i<<":"<<j<<endl;
				//not(j*2) or not(i*2)
			//	add2(i*2,j*2);
			//	continue;
				adj[(j*2)*2].pb(2*(2*i)+1);
				adj[(i*2)*2].pb((j*2)*2+1);
			}
		}
		for(auto jj:pre[bb[i]]){
			int j=jj/2;
			if(j!=i){
			//cout<<i<<","<<j<<endl;
			//	add2(i*2+1,j*2+1);
				//continue;
				adj[(j*2+1)*2].pb(2*(2*i+1)+1);
				adj[(i*2+1)*2].pb((j*2+1)*2+1);
			}
		}
	}
	*/
	for(int i=0;i<8*n;i++){
		for(auto j:adj[i]){
			adj2[j].pb(i);
			//cout<<j<<".."<<i<<endl;
		}
	}


	for(int i=0;i<8*n;i++){
		if(vis[i]==0){
			dfs(i);
		}
	}
	reverse(ord.begin(),ord.end());
	/*for(auto i:ord){
		cout<<i<<":";
	}
	cout<<endl;*/
	for(int i=0;i<2*n;i++){
		pre[aa[i]].insert(i*2);
		pre[bb[i]].insert(i*2+1);
	}
	for(int j=0;j<8*n;j++){
		vis[j]=0;
	}
	for(auto j:ord){
		if(vis[j]==0){
			cur++;
			dfs2(j);
		}
	}
	int st=1;
	for(int i=0;i<8*n;i+=2){
		if(vis[i]==vis[i+1]){
			st=0;
		}

	}

	/*for(int i=0;i<8*n;i++){
		cout<<vis[i]<<",";
	}
	cout<<endl;*/
	if(st){

		for(int i=0;i<8*n;i+=2){
			if(vis[i]<vis[i+1]){
				//i is false
			}
			else{
				//i is true
				if(i%4==0){
					ans5[aa[i/4]]=i/4;
				}
				else{
					ans5[bb[i/4]]=i/4;
				}
			}
		}
		for(int i=0;i<2*n;i++){
			//cout<<ans5[i]<<",";
			if(i<n){
				adj3[i].pb(bb[ans5[i]]);
				coo[adj3[i].back()]++;
			}
			else{
				adj3[i].pb(aa[ans5[i]]);
				coo[adj3[i].back()]++;
			}
		}
		/*cout<<endl;
		for(int i=0;i<2*n;i++){
			cout<<i<<",,"<<adj3[i][0]<<endl;
		}*/

		queue<int> ss;
		for(int i=0;i<2*n;i++){
			if(coo[i]==0){
				ss.push(i);
			}
		}
		while(ss.size()){
			int no=ss.front();
			ss.pop();
			kk[no]=1;
			for(auto j:adj3[no]){
				coo[j]--;
				if(coo[j]==0){
					ss.push(j);
				}
			}

		}
		int su=0;
		int su2=0;
		for(int i=0;i<2*n;i++){
			if(kk[i]==1){
				if(i<n){
					su+=it[ans5[i]];
				}
				else{
					su2+=it[ans5[i]];
				}
			}
			//cout<<kk[i]<<".";
		}
		llo xx5=0;
		for(int i=0;i<2*n;i++){
			xx5+=it[i];
		}
		if(xx5==2*n){
			cout<<"YES"<<endl;
			return 0;
		}
		//cout<<endl;
		//cout<<su<<"<<"<<su2<<endl;
		vector<pair<llo,llo>> con;
		vector<llo> con2;
		for(int i=0;i<2*n;i++){
			if(kk[i]==0){
				pp.clear();
				dfs3(i);
				llo su3=0;
				llo su4=0;
				llo xx=0;
				for(auto j:pp){
					if(xx==0){
						su3+=j.b;
					}
					else{
						su4+=j.b;
					}
					xx^=1;
					//cout<<j.a<<"?"<<j.b<<endl;
				}
				int qq=min(su3,su4);
				su+=qq;
				su2+=qq;
				con.pb({su3-qq,su4-qq});
				con2.pb(max(su3-qq,su4-qq));
				//cout<<su3<<"?"<<su4<<endl;
			}
		}
		//cout<<su<<".."<<su2<<endl;
		int zz5=0;
		/*if(con.size()>30){
			while(true){
				continue;
			}
		}*/
	//	dp[0][su]=1;

		bitset<30001*20*2> dp2;
		dp2[su]=1;
		for(int i=0;i<con2.size();i++){
			dp2|=(dp2<<con2[i]);
		}
	/*	for(int i=1;i<=con.size();i++){
			for(int j=con[i-1].a;j<=20*2*n;j++){
				dp[i][j]|=dp[i-1][j-con[i-1].a];
			}
			for(int j=con[i-1].b;j<=20*2*n;j++){
				dp[i][j]|=dp[i-1][j-con[i-1].b];
			}

		}*/
		llo suu=0;
		for(int i=0;i<2*n;i++){
			suu+=it[i];
		}
		for(int i=0;i<=40*n;i++){
			if(dp2[i]){
				//cout<<i<<".."<<endl;
				if(abs(i-(suu-i))<=k){
					zz5=1;
					break;
				}
			}
		}
	/*	for(int i=0;i<(1<<con.size());i++){
			//cout<<i<<endl;
			int dd=su;
			int ee=su2;
			for(int j=0;j<con.size();j++){
				if((1<<j)&i){
					dd+=con[j].a;
					ee+=con[j].b;
				}
				else{
					dd+=con[j].b;
					ee+=con[j].a;
				}
			}
			//cout<<i<<"?"<<dd<<
			if(abs(dd-ee)<=k){

				zz5=1;
				break;
			}
		}*/
		if(zz5==0){
			cout<<"NO"<<endl;
			return 0;
		}


		cout<<"YES"<<endl;
	}
	else{
		cout<<"NO"<<endl;
	}











 
 
	return 0;
}

Compilation message

tug.cpp: In function 'int main()':
tug.cpp:400:16: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  400 |   for(int i=0;i<con2.size();i++){
      |               ~^~~~~~~~~~~~

Subtask #1
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 26 ms 36076 KB Output is correct
2 Correct 26 ms 36076 KB Output is correct
3 Correct 25 ms 36076 KB Output is correct
4 Correct 25 ms 36076 KB Output is correct
5 Correct 25 ms 36076 KB Output is correct
6 Correct 25 ms 36076 KB Output is correct
7 Correct 25 ms 36076 KB Output is correct
8 Correct 25 ms 36076 KB Output is correct
9 Correct 25 ms 36076 KB Output is correct
10 Correct 25 ms 36076 KB Output is correct
11 Correct 26 ms 36076 KB Output is correct
12 Correct 25 ms 36076 KB Output is correct
13 Correct 25 ms 36076 KB Output is correct
14 Correct 25 ms 36076 KB Output is correct
15 Correct 26 ms 36076 KB Output is correct
16 Correct 26 ms 36064 KB Output is correct
17 Correct 25 ms 36076 KB Output is correct
18 Correct 25 ms 36076 KB Output is correct
19 Correct 26 ms 36076 KB Output is correct
20 Correct 26 ms 36076 KB Output is correct
21 Correct 25 ms 35564 KB Output is correct
22 Correct 25 ms 36076 KB Output is correct
23 Correct 25 ms 36076 KB Output is correct
24 Correct 26 ms 36076 KB Output is correct
25 Correct 25 ms 36076 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 26 ms 36076 KB Output is correct
2 Correct 26 ms 36076 KB Output is correct
3 Correct 25 ms 36076 KB Output is correct
4 Correct 25 ms 36076 KB Output is correct
5 Correct 25 ms 36076 KB Output is correct
6 Correct 25 ms 36076 KB Output is correct
7 Correct 25 ms 36076 KB Output is correct
8 Correct 25 ms 36076 KB Output is correct
9 Correct 25 ms 36076 KB Output is correct
10 Correct 25 ms 36076 KB Output is correct
11 Correct 26 ms 36076 KB Output is correct
12 Correct 25 ms 36076 KB Output is correct
13 Correct 25 ms 36076 KB Output is correct
14 Correct 25 ms 36076 KB Output is correct
15 Correct 26 ms 36076 KB Output is correct
16 Correct 26 ms 36064 KB Output is correct
17 Correct 25 ms 36076 KB Output is correct
18 Correct 25 ms 36076 KB Output is correct
19 Correct 26 ms 36076 KB Output is correct
20 Correct 26 ms 36076 KB Output is correct
21 Correct 25 ms 35564 KB Output is correct
22 Correct 25 ms 36076 KB Output is correct
23 Correct 25 ms 36076 KB Output is correct
24 Correct 26 ms 36076 KB Output is correct
25 Correct 25 ms 36076 KB Output is correct
26 Correct 126 ms 37356 KB Output is correct
27 Correct 45 ms 37228 KB Output is correct
28 Correct 128 ms 37356 KB Output is correct
29 Correct 45 ms 37228 KB Output is correct
30 Correct 128 ms 37356 KB Output is correct
31 Correct 45 ms 37228 KB Output is correct
32 Correct 129 ms 37356 KB Output is correct
33 Correct 45 ms 37356 KB Output is correct
34 Correct 38 ms 37228 KB Output is correct
35 Correct 45 ms 37228 KB Output is correct
36 Correct 129 ms 37356 KB Output is correct
37 Correct 44 ms 37228 KB Output is correct
38 Correct 129 ms 37356 KB Output is correct
39 Correct 44 ms 37228 KB Output is correct
40 Correct 130 ms 37356 KB Output is correct
41 Correct 44 ms 37228 KB Output is correct
42 Correct 126 ms 37356 KB Output is correct
43 Correct 45 ms 37228 KB Output is correct
44 Correct 136 ms 37356 KB Output is correct
45 Correct 44 ms 37228 KB Output is correct
46 Correct 130 ms 37356 KB Output is correct
47 Correct 32 ms 37100 KB Output is correct
48 Correct 79 ms 37384 KB Output is correct
49 Correct 82 ms 37228 KB Output is correct
50 Correct 128 ms 37356 KB Output is correct
51 Correct 131 ms 37356 KB Output is correct

Subtask #3
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 59 ms 41324 KB Output is correct
2 Correct 62 ms 41324 KB Output is correct
3 Correct 59 ms 41324 KB Output is correct
4 Correct 65 ms 41452 KB Output is correct
5 Correct 58 ms 41324 KB Output is correct
6 Correct 62 ms 41324 KB Output is correct
7 Correct 57 ms 41324 KB Output is correct
8 Correct 62 ms 41324 KB Output is correct
9 Correct 58 ms 41324 KB Output is correct
10 Correct 64 ms 41324 KB Output is correct
11 Correct 60 ms 41324 KB Output is correct
12 Correct 65 ms 41324 KB Output is correct
13 Correct 58 ms 41324 KB Output is correct
14 Correct 57 ms 41324 KB Output is correct
15 Correct 65 ms 41324 KB Output is correct
16 Correct 58 ms 41324 KB Output is correct
17 Correct 64 ms 41324 KB Output is correct
18 Correct 57 ms 41324 KB Output is correct
19 Correct 62 ms 41324 KB Output is correct
20 Correct 61 ms 41344 KB Output is correct
21 Correct 71 ms 42988 KB Output is correct
22 Correct 63 ms 41324 KB Output is correct

Subtask #4
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 26 ms 36076 KB Output is correct
2 Correct 26 ms 36076 KB Output is correct
3 Correct 25 ms 36076 KB Output is correct
4 Correct 25 ms 36076 KB Output is correct
5 Correct 25 ms 36076 KB Output is correct
6 Correct 25 ms 36076 KB Output is correct
7 Correct 25 ms 36076 KB Output is correct
8 Correct 25 ms 36076 KB Output is correct
9 Correct 25 ms 36076 KB Output is correct
10 Correct 25 ms 36076 KB Output is correct
11 Correct 26 ms 36076 KB Output is correct
12 Correct 25 ms 36076 KB Output is correct
13 Correct 25 ms 36076 KB Output is correct
14 Correct 25 ms 36076 KB Output is correct
15 Correct 26 ms 36076 KB Output is correct
16 Correct 26 ms 36064 KB Output is correct
17 Correct 25 ms 36076 KB Output is correct
18 Correct 25 ms 36076 KB Output is correct
19 Correct 26 ms 36076 KB Output is correct
20 Correct 26 ms 36076 KB Output is correct
21 Correct 25 ms 35564 KB Output is correct
22 Correct 25 ms 36076 KB Output is correct
23 Correct 25 ms 36076 KB Output is correct
24 Correct 26 ms 36076 KB Output is correct
25 Correct 25 ms 36076 KB Output is correct
26 Correct 126 ms 37356 KB Output is correct
27 Correct 45 ms 37228 KB Output is correct
28 Correct 128 ms 37356 KB Output is correct
29 Correct 45 ms 37228 KB Output is correct
30 Correct 128 ms 37356 KB Output is correct
31 Correct 45 ms 37228 KB Output is correct
32 Correct 129 ms 37356 KB Output is correct
33 Correct 45 ms 37356 KB Output is correct
34 Correct 38 ms 37228 KB Output is correct
35 Correct 45 ms 37228 KB Output is correct
36 Correct 129 ms 37356 KB Output is correct
37 Correct 44 ms 37228 KB Output is correct
38 Correct 129 ms 37356 KB Output is correct
39 Correct 44 ms 37228 KB Output is correct
40 Correct 130 ms 37356 KB Output is correct
41 Correct 44 ms 37228 KB Output is correct
42 Correct 126 ms 37356 KB Output is correct
43 Correct 45 ms 37228 KB Output is correct
44 Correct 136 ms 37356 KB Output is correct
45 Correct 44 ms 37228 KB Output is correct
46 Correct 130 ms 37356 KB Output is correct
47 Correct 32 ms 37100 KB Output is correct
48 Correct 79 ms 37384 KB Output is correct
49 Correct 82 ms 37228 KB Output is correct
50 Correct 128 ms 37356 KB Output is correct
51 Correct 131 ms 37356 KB Output is correct
52 Correct 59 ms 41324 KB Output is correct
53 Correct 62 ms 41324 KB Output is correct
54 Correct 59 ms 41324 KB Output is correct
55 Correct 65 ms 41452 KB Output is correct
56 Correct 58 ms 41324 KB Output is correct
57 Correct 62 ms 41324 KB Output is correct
58 Correct 57 ms 41324 KB Output is correct
59 Correct 62 ms 41324 KB Output is correct
60 Correct 58 ms 41324 KB Output is correct
61 Correct 64 ms 41324 KB Output is correct
62 Correct 60 ms 41324 KB Output is correct
63 Correct 65 ms 41324 KB Output is correct
64 Correct 58 ms 41324 KB Output is correct
65 Correct 57 ms 41324 KB Output is correct
66 Correct 65 ms 41324 KB Output is correct
67 Correct 58 ms 41324 KB Output is correct
68 Correct 64 ms 41324 KB Output is correct
69 Correct 57 ms 41324 KB Output is correct
70 Correct 62 ms 41324 KB Output is correct
71 Correct 61 ms 41344 KB Output is correct
72 Correct 71 ms 42988 KB Output is correct
73 Correct 63 ms 41324 KB Output is correct
74 Correct 1647 ms 53728 KB Output is correct
75 Correct 269 ms 53472 KB Output is correct
76 Correct 1635 ms 54624 KB Output is correct
77 Correct 275 ms 53472 KB Output is correct
78 Correct 1628 ms 54516 KB Output is correct
79 Correct 1640 ms 54496 KB Output is correct
80 Correct 280 ms 53472 KB Output is correct
81 Correct 278 ms 53476 KB Output is correct
82 Correct 1591 ms 54496 KB Output is correct
83 Correct 1634 ms 54616 KB Output is correct
84 Correct 288 ms 53560 KB Output is correct
85 Correct 1652 ms 54500 KB Output is correct
86 Correct 274 ms 53472 KB Output is correct
87 Correct 1655 ms 54496 KB Output is correct
88 Correct 274 ms 53472 KB Output is correct
89 Correct 1638 ms 54516 KB Output is correct
90 Correct 287 ms 53600 KB Output is correct
91 Correct 1649 ms 54504 KB Output is correct
92 Correct 280 ms 53536 KB Output is correct
93 Correct 1630 ms 54624 KB Output is correct
94 Correct 220 ms 57544 KB Output is correct
95 Correct 937 ms 54156 KB Output is correct
96 Correct 952 ms 53984 KB Output is correct
97 Correct 1656 ms 54496 KB Output is correct
98 Correct 1645 ms 54496 KB Output is correct