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Submission #893171

# Submission time Handle Problem Language Result Execution time Memory
893171 2023-12-26T15:31:03 Z amirhoseinfar1385 Joker (BOI20_joker) C++17
100 / 100
 133 ms 7368 KB 
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2")
#include<bits/stdc++.h>
using namespace std;
const int maxn=200000+10;
int n,m,q,dp[maxn],f;
pair<int,int>alle[maxn];

struct dsu{
	vector<int>ha;
	int par[maxn],sz[maxn],val[maxn];
	dsu(){
		for(int i=0;i<maxn;i++){
			par[i]=i;
			sz[i]=1;
		}
	}
	int root(int u){
		while(u!=par[u]){
			u=par[u];
		}
		return u;
	}
	int len(int u){
		int ret=0;
		while(u!=par[u]){
			ret+=val[u];
			u=par[u];
		}
		return ret;
	}

	void con(int u,int v){
		int rootu=root(u),rootv=root(v);
		if(rootu!=rootv){
			if(sz[rootu]<sz[rootv]){
				swap(rootu,rootv);
				swap(u,v);
			}
			int lu=len(u),lv=len(v);
			par[rootv]=rootu;
			sz[rootu]+=sz[rootv];
			if((lu&1)==(lv&1)){
				val[rootv]=1;
			}
			else{
				val[rootv]=0;
			}
			ha.push_back(rootv);
			return ;
		}
		ha.push_back(-1);
	}
	bool two(int u,int v){
		int rootu=root(u),rootv=root(v);
		if(rootu!=rootv){
			return 0;
		}
		int lu=len(u),lv=len(v);
		if((lu&1)==(lv&1)){
			return 1;
		}
		return 0;
	}
	void back(){
		if((int)ha.back()==-1){
			ha.pop_back();
			return ;
		}
		int x=ha.back();
		sz[par[x]]-=sz[x];
		par[x]=x;
		val[x]=0;
		ha.pop_back();
		return ;
	}
}ds;

void solve(int l,int r,int tl,int tr){
	if(l>r){
		return ;
	}
	if(tl==tr){
		for(int i=l;i<=r;i++){
			dp[i]=tl;
		}
		return ;
	}
	int opt=0;
	int now=ds.ha.size();
	int mid=(l+r)>>1;
	for(int i=l;i<=mid;i++){
		ds.con(alle[i].first,alle[i].second);
	}
	for(int i=tr;i>=tl;i--){
		if(ds.two(alle[i].first,alle[i].second)){
			opt=i;
			break;
		}
		ds.con(alle[i].first,alle[i].second);
	}
	dp[mid]=opt;
	while((int)ds.ha.size()>now){
		ds.back();
	}
	for(int i=l;i<=mid;i++){
		ds.con(alle[i].first,alle[i].second);
	}
	solve(mid+1,r,opt,tr);
	while((int)ds.ha.size()>now){
		ds.back();
	}
	for(int i=tr;i>opt;i--){
		ds.con(alle[i].first,alle[i].second);
	}
	solve(l,mid-1,tl,opt);
	while((int)ds.ha.size()>now){
		ds.back();
	}
}

int pre(){
	for(int i=1;i<=m;i++){
		if(ds.two(alle[i].first,alle[i].second)){
			return i;
		}
		ds.con(alle[i].first,alle[i].second);
	}
	return m+1;
}

int suf(){
	for(int i=m;i>=0;i--){
		if(ds.two(alle[i].first,alle[i].second)){
			return i;
		}
		ds.con(alle[i].first,alle[i].second);
	}
	return 0;
}

int main(){
	ios::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);	
	cin>>n>>m>>q;
	for(int i=1;i<=m;i++){
		cin>>alle[i].first>>alle[i].second;
	}
	int ind=pre();
	while((int)ds.ha.size()>0){
		ds.back();
	}
	solve(1,ind-1,0,m);
	for(int i=ind;i<=m;i++){
		dp[i]=m+2;
	}
	if((int)ds.ha.size()!=0){
		assert(0);
	}
	dp[0]=suf();
	for(int i=0;i<q;i++){
		int l,r;
		cin>>l>>r;
		if(dp[l-1]<=r){
			cout<<"NO\n";
		}
		else{
			cout<<"YES\n";
		}
	}
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4696 KB Output is correct
2 Correct 1 ms 4700 KB Output is correct
3 Correct 1 ms 4700 KB Output is correct
4 Correct 1 ms 4700 KB Output is correct
5 Correct 1 ms 4700 KB Output is correct
6 Correct 1 ms 4700 KB Output is correct
7 Correct 1 ms 4696 KB Output is correct
8 Correct 1 ms 4700 KB Output is correct
9 Correct 1 ms 4700 KB Output is correct
10 Correct 1 ms 4700 KB Output is correct
11 Correct 1 ms 4700 KB Output is correct
12 Correct 1 ms 4696 KB Output is correct
13 Correct 1 ms 4700 KB Output is correct
14 Correct 1 ms 4700 KB Output is correct
15 Correct 1 ms 4700 KB Output is correct
16 Correct 1 ms 4700 KB Output is correct
17 Correct 1 ms 4700 KB Output is correct
18 Correct 1 ms 4700 KB Output is correct
19 Correct 1 ms 4700 KB Output is correct
20 Correct 1 ms 4700 KB Output is correct
21 Correct 2 ms 4696 KB Output is correct
22 Correct 1 ms 4696 KB Output is correct
23 Correct 1 ms 4700 KB Output is correct
24 Correct 1 ms 4700 KB Output is correct
25 Correct 1 ms 4696 KB Output is correct
26 Correct 1 ms 4700 KB Output is correct
27 Correct 1 ms 4700 KB Output is correct
28 Correct 1 ms 4700 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4696 KB Output is correct
2 Correct 1 ms 4700 KB Output is correct
3 Correct 1 ms 4700 KB Output is correct
4 Correct 1 ms 4700 KB Output is correct
5 Correct 1 ms 4700 KB Output is correct
6 Correct 1 ms 4700 KB Output is correct
7 Correct 1 ms 4696 KB Output is correct
8 Correct 1 ms 4700 KB Output is correct
9 Correct 1 ms 4700 KB Output is correct
10 Correct 1 ms 4700 KB Output is correct
11 Correct 1 ms 4700 KB Output is correct
12 Correct 1 ms 4696 KB Output is correct
13 Correct 1 ms 4700 KB Output is correct
14 Correct 1 ms 4700 KB Output is correct
15 Correct 1 ms 4700 KB Output is correct
16 Correct 1 ms 4700 KB Output is correct
17 Correct 1 ms 4700 KB Output is correct
18 Correct 1 ms 4700 KB Output is correct
19 Correct 1 ms 4700 KB Output is correct
20 Correct 1 ms 4700 KB Output is correct
21 Correct 2 ms 4696 KB Output is correct
22 Correct 1 ms 4696 KB Output is correct
23 Correct 1 ms 4700 KB Output is correct
24 Correct 1 ms 4700 KB Output is correct
25 Correct 1 ms 4696 KB Output is correct
26 Correct 1 ms 4700 KB Output is correct
27 Correct 1 ms 4700 KB Output is correct
28 Correct 1 ms 4700 KB Output is correct
29 Correct 1 ms 4696 KB Output is correct
30 Correct 2 ms 4700 KB Output is correct
31 Correct 2 ms 4700 KB Output is correct
32 Correct 1 ms 4700 KB Output is correct
33 Correct 1 ms 4696 KB Output is correct
34 Correct 2 ms 4696 KB Output is correct
35 Correct 2 ms 4700 KB Output is correct
36 Correct 1 ms 4700 KB Output is correct
37 Correct 2 ms 4700 KB Output is correct
38 Correct 2 ms 4700 KB Output is correct
39 Correct 1 ms 4700 KB Output is correct
40 Correct 1 ms 4700 KB Output is correct
41 Correct 1 ms 4700 KB Output is correct
42 Correct 1 ms 4700 KB Output is correct
43 Correct 2 ms 4700 KB Output is correct
44 Correct 2 ms 4700 KB Output is correct
45 Correct 2 ms 4700 KB Output is correct
46 Correct 2 ms 4700 KB Output is correct
47 Correct 1 ms 4700 KB Output is correct
48 Correct 1 ms 4700 KB Output is correct
49 Correct 2 ms 4700 KB Output is correct
50 Correct 2 ms 4700 KB Output is correct
51 Correct 1 ms 4696 KB Output is correct
52 Correct 2 ms 4696 KB Output is correct
53 Correct 2 ms 4700 KB Output is correct
54 Correct 2 ms 4700 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4696 KB Output is correct
2 Correct 1 ms 4700 KB Output is correct
3 Correct 96 ms 6100 KB Output is correct
4 Correct 125 ms 7364 KB Output is correct
5 Correct 71 ms 6592 KB Output is correct
6 Correct 73 ms 6064 KB Output is correct
7 Correct 70 ms 6100 KB Output is correct
8 Correct 104 ms 6500 KB Output is correct
9 Correct 101 ms 6348 KB Output is correct
10 Correct 122 ms 6392 KB Output is correct
11 Correct 103 ms 6200 KB Output is correct
12 Correct 111 ms 6572 KB Output is correct
13 Correct 103 ms 6100 KB Output is correct
14 Correct 99 ms 6044 KB Output is correct
15 Correct 113 ms 6352 KB Output is correct
16 Correct 133 ms 6132 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4696 KB Output is correct
2 Correct 1 ms 4700 KB Output is correct
3 Correct 1 ms 4700 KB Output is correct
4 Correct 1 ms 4700 KB Output is correct
5 Correct 1 ms 4700 KB Output is correct
6 Correct 1 ms 4700 KB Output is correct
7 Correct 1 ms 4696 KB Output is correct
8 Correct 1 ms 4700 KB Output is correct
9 Correct 1 ms 4700 KB Output is correct
10 Correct 1 ms 4700 KB Output is correct
11 Correct 1 ms 4700 KB Output is correct
12 Correct 1 ms 4696 KB Output is correct
13 Correct 1 ms 4700 KB Output is correct
14 Correct 1 ms 4700 KB Output is correct
15 Correct 1 ms 4700 KB Output is correct
16 Correct 1 ms 4700 KB Output is correct
17 Correct 1 ms 4700 KB Output is correct
18 Correct 1 ms 4700 KB Output is correct
19 Correct 1 ms 4700 KB Output is correct
20 Correct 1 ms 4700 KB Output is correct
21 Correct 2 ms 4696 KB Output is correct
22 Correct 1 ms 4696 KB Output is correct
23 Correct 1 ms 4700 KB Output is correct
24 Correct 1 ms 4700 KB Output is correct
25 Correct 1 ms 4696 KB Output is correct
26 Correct 1 ms 4700 KB Output is correct
27 Correct 1 ms 4700 KB Output is correct
28 Correct 1 ms 4700 KB Output is correct
29 Correct 96 ms 6100 KB Output is correct
30 Correct 125 ms 7364 KB Output is correct
31 Correct 71 ms 6592 KB Output is correct
32 Correct 73 ms 6064 KB Output is correct
33 Correct 70 ms 6100 KB Output is correct
34 Correct 104 ms 6500 KB Output is correct
35 Correct 101 ms 6348 KB Output is correct
36 Correct 122 ms 6392 KB Output is correct
37 Correct 103 ms 6200 KB Output is correct
38 Correct 111 ms 6572 KB Output is correct
39 Correct 103 ms 6100 KB Output is correct
40 Correct 99 ms 6044 KB Output is correct
41 Correct 113 ms 6352 KB Output is correct
42 Correct 133 ms 6132 KB Output is correct
43 Correct 100 ms 6180 KB Output is correct
44 Correct 132 ms 7368 KB Output is correct
45 Correct 123 ms 6644 KB Output is correct
46 Correct 69 ms 6096 KB Output is correct
47 Correct 77 ms 6328 KB Output is correct
48 Correct 99 ms 6304 KB Output is correct
49 Correct 124 ms 6392 KB Output is correct
50 Correct 103 ms 6092 KB Output is correct
51 Correct 107 ms 6100 KB Output is correct
52 Correct 102 ms 6132 KB Output is correct
53 Correct 95 ms 6096 KB Output is correct
54 Correct 109 ms 6100 KB Output is correct
55 Correct 111 ms 6276 KB Output is correct
56 Correct 126 ms 6212 KB Output is correct

Subtask #5
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4696 KB Output is correct
2 Correct 1 ms 4700 KB Output is correct
3 Correct 1 ms 4700 KB Output is correct
4 Correct 1 ms 4700 KB Output is correct
5 Correct 1 ms 4700 KB Output is correct
6 Correct 1 ms 4700 KB Output is correct
7 Correct 1 ms 4696 KB Output is correct
8 Correct 1 ms 4700 KB Output is correct
9 Correct 1 ms 4700 KB Output is correct
10 Correct 1 ms 4700 KB Output is correct
11 Correct 1 ms 4700 KB Output is correct
12 Correct 1 ms 4696 KB Output is correct
13 Correct 1 ms 4700 KB Output is correct
14 Correct 1 ms 4700 KB Output is correct
15 Correct 1 ms 4700 KB Output is correct
16 Correct 1 ms 4700 KB Output is correct
17 Correct 1 ms 4700 KB Output is correct
18 Correct 1 ms 4700 KB Output is correct
19 Correct 1 ms 4700 KB Output is correct
20 Correct 1 ms 4700 KB Output is correct
21 Correct 2 ms 4696 KB Output is correct
22 Correct 1 ms 4696 KB Output is correct
23 Correct 1 ms 4700 KB Output is correct
24 Correct 1 ms 4700 KB Output is correct
25 Correct 1 ms 4696 KB Output is correct
26 Correct 1 ms 4700 KB Output is correct
27 Correct 1 ms 4700 KB Output is correct
28 Correct 1 ms 4700 KB Output is correct
29 Correct 1 ms 4696 KB Output is correct
30 Correct 2 ms 4700 KB Output is correct
31 Correct 2 ms 4700 KB Output is correct
32 Correct 1 ms 4700 KB Output is correct
33 Correct 1 ms 4696 KB Output is correct
34 Correct 2 ms 4696 KB Output is correct
35 Correct 2 ms 4700 KB Output is correct
36 Correct 1 ms 4700 KB Output is correct
37 Correct 2 ms 4700 KB Output is correct
38 Correct 2 ms 4700 KB Output is correct
39 Correct 1 ms 4700 KB Output is correct
40 Correct 1 ms 4700 KB Output is correct
41 Correct 1 ms 4700 KB Output is correct
42 Correct 1 ms 4700 KB Output is correct
43 Correct 2 ms 4700 KB Output is correct
44 Correct 2 ms 4700 KB Output is correct
45 Correct 2 ms 4700 KB Output is correct
46 Correct 2 ms 4700 KB Output is correct
47 Correct 1 ms 4700 KB Output is correct
48 Correct 1 ms 4700 KB Output is correct
49 Correct 2 ms 4700 KB Output is correct
50 Correct 2 ms 4700 KB Output is correct
51 Correct 1 ms 4696 KB Output is correct
52 Correct 2 ms 4696 KB Output is correct
53 Correct 2 ms 4700 KB Output is correct
54 Correct 2 ms 4700 KB Output is correct
55 Correct 76 ms 5584 KB Output is correct
56 Correct 107 ms 6904 KB Output is correct
57 Correct 44 ms 5840 KB Output is correct
58 Correct 50 ms 5588 KB Output is correct
59 Correct 76 ms 5576 KB Output is correct
60 Correct 98 ms 5536 KB Output is correct
61 Correct 78 ms 5584 KB Output is correct
62 Correct 91 ms 5588 KB Output is correct
63 Correct 66 ms 5544 KB Output is correct
64 Correct 84 ms 5584 KB Output is correct
65 Correct 98 ms 5540 KB Output is correct

Subtask #6
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4696 KB Output is correct
2 Correct 1 ms 4700 KB Output is correct
3 Correct 1 ms 4700 KB Output is correct
4 Correct 1 ms 4700 KB Output is correct
5 Correct 1 ms 4700 KB Output is correct
6 Correct 1 ms 4700 KB Output is correct
7 Correct 1 ms 4696 KB Output is correct
8 Correct 1 ms 4700 KB Output is correct
9 Correct 1 ms 4700 KB Output is correct
10 Correct 1 ms 4700 KB Output is correct
11 Correct 1 ms 4700 KB Output is correct
12 Correct 1 ms 4696 KB Output is correct
13 Correct 1 ms 4700 KB Output is correct
14 Correct 1 ms 4700 KB Output is correct
15 Correct 1 ms 4700 KB Output is correct
16 Correct 1 ms 4700 KB Output is correct
17 Correct 1 ms 4700 KB Output is correct
18 Correct 1 ms 4700 KB Output is correct
19 Correct 1 ms 4700 KB Output is correct
20 Correct 1 ms 4700 KB Output is correct
21 Correct 2 ms 4696 KB Output is correct
22 Correct 1 ms 4696 KB Output is correct
23 Correct 1 ms 4700 KB Output is correct
24 Correct 1 ms 4700 KB Output is correct
25 Correct 1 ms 4696 KB Output is correct
26 Correct 1 ms 4700 KB Output is correct
27 Correct 1 ms 4700 KB Output is correct
28 Correct 1 ms 4700 KB Output is correct
29 Correct 1 ms 4696 KB Output is correct
30 Correct 2 ms 4700 KB Output is correct
31 Correct 2 ms 4700 KB Output is correct
32 Correct 1 ms 4700 KB Output is correct
33 Correct 1 ms 4696 KB Output is correct
34 Correct 2 ms 4696 KB Output is correct
35 Correct 2 ms 4700 KB Output is correct
36 Correct 1 ms 4700 KB Output is correct
37 Correct 2 ms 4700 KB Output is correct
38 Correct 2 ms 4700 KB Output is correct
39 Correct 1 ms 4700 KB Output is correct
40 Correct 1 ms 4700 KB Output is correct
41 Correct 1 ms 4700 KB Output is correct
42 Correct 1 ms 4700 KB Output is correct
43 Correct 2 ms 4700 KB Output is correct
44 Correct 2 ms 4700 KB Output is correct
45 Correct 2 ms 4700 KB Output is correct
46 Correct 2 ms 4700 KB Output is correct
47 Correct 1 ms 4700 KB Output is correct
48 Correct 1 ms 4700 KB Output is correct
49 Correct 2 ms 4700 KB Output is correct
50 Correct 2 ms 4700 KB Output is correct
51 Correct 1 ms 4696 KB Output is correct
52 Correct 2 ms 4696 KB Output is correct
53 Correct 2 ms 4700 KB Output is correct
54 Correct 2 ms 4700 KB Output is correct
55 Correct 96 ms 6100 KB Output is correct
56 Correct 125 ms 7364 KB Output is correct
57 Correct 71 ms 6592 KB Output is correct
58 Correct 73 ms 6064 KB Output is correct
59 Correct 70 ms 6100 KB Output is correct
60 Correct 104 ms 6500 KB Output is correct
61 Correct 101 ms 6348 KB Output is correct
62 Correct 122 ms 6392 KB Output is correct
63 Correct 103 ms 6200 KB Output is correct
64 Correct 111 ms 6572 KB Output is correct
65 Correct 103 ms 6100 KB Output is correct
66 Correct 99 ms 6044 KB Output is correct
67 Correct 113 ms 6352 KB Output is correct
68 Correct 133 ms 6132 KB Output is correct
69 Correct 100 ms 6180 KB Output is correct
70 Correct 132 ms 7368 KB Output is correct
71 Correct 123 ms 6644 KB Output is correct
72 Correct 69 ms 6096 KB Output is correct
73 Correct 77 ms 6328 KB Output is correct
74 Correct 99 ms 6304 KB Output is correct
75 Correct 124 ms 6392 KB Output is correct
76 Correct 103 ms 6092 KB Output is correct
77 Correct 107 ms 6100 KB Output is correct
78 Correct 102 ms 6132 KB Output is correct
79 Correct 95 ms 6096 KB Output is correct
80 Correct 109 ms 6100 KB Output is correct
81 Correct 111 ms 6276 KB Output is correct
82 Correct 126 ms 6212 KB Output is correct
83 Correct 76 ms 5584 KB Output is correct
84 Correct 107 ms 6904 KB Output is correct
85 Correct 44 ms 5840 KB Output is correct
86 Correct 50 ms 5588 KB Output is correct
87 Correct 76 ms 5576 KB Output is correct
88 Correct 98 ms 5536 KB Output is correct
89 Correct 78 ms 5584 KB Output is correct
90 Correct 91 ms 5588 KB Output is correct
91 Correct 66 ms 5544 KB Output is correct
92 Correct 84 ms 5584 KB Output is correct
93 Correct 98 ms 5540 KB Output is correct
94 Correct 105 ms 6356 KB Output is correct
95 Correct 131 ms 6604 KB Output is correct
96 Correct 74 ms 6608 KB Output is correct
97 Correct 75 ms 6372 KB Output is correct
98 Correct 93 ms 6180 KB Output is correct
99 Correct 94 ms 6356 KB Output is correct
100 Correct 101 ms 6356 KB Output is correct
101 Correct 112 ms 6380 KB Output is correct
102 Correct 111 ms 6284 KB Output is correct
103 Correct 120 ms 6360 KB Output is correct
104 Correct 95 ms 6304 KB Output is correct
105 Correct 114 ms 6392 KB Output is correct
106 Correct 128 ms 6304 KB Output is correct
107 Correct 61 ms 6564 KB Output is correct
108 Correct 105 ms 6552 KB Output is correct
109 Correct 101 ms 6136 KB Output is correct
110 Correct 102 ms 6292 KB Output is correct
111 Correct 101 ms 6096 KB Output is correct
112 Correct 99 ms 6100 KB Output is correct
113 Correct 106 ms 6612 KB Output is correct
114 Correct 102 ms 6280 KB Output is correct
115 Correct 101 ms 6260 KB Output is correct
116 Correct 100 ms 6044 KB Output is correct