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Submission #915216

# Submission time Handle Problem Language Result Execution time Memory
915216 2024-01-23T13:57:58 Z volkadmm Bridges (APIO19_bridges) C++14
100 / 100
 1965 ms 69032 KB 
#include <bits/stdc++.h>
using namespace std;

#define pb push_back
#define int long long
#define SZ(a) (int)a.size()
#define all(a) a.begin(),a.end()

const int B = 800;
const int maxn = (int)1e5+10;

int n, m, q;
stack<int> st; bool ch[maxn]; 
int u[maxn], v[maxn], w[maxn];
int t[maxn], s[maxn], w2[maxn];
int p[maxn], sz[maxn], ans[maxn];
vector<int> edge[B], updE, fixE;

void rs(){ iota(p,p+n+1,0); fill(sz,sz+n+1,1); }
int findSet(int i) { return p[i]==i?i:findSet(p[i]); }

void unionSet(int a, int b){
	a=findSet(a), b=findSet(b);
	if(a==b) return;
	if(sz[a] < sz[b]) swap(a,b);
	sz[a]+=sz[b]; st.push(b); p[b]=a; 
}

void rollback(int Size){
	while(SZ(st)>Size){
		int x = st.top(); st.pop();
		sz[p[x]]-=sz[x], p[x]=x;
	}
}

int32_t main(){
	ios_base::sync_with_stdio(false); cin.tie(0);
	cin >> n >> m;
	for(int i = 1; i <= m; i++) cin >> u[i] >> v[i] >> w[i];
	cin >> q;
	for(int i = 1; i <= q; i++) cin >> t[i] >> s[i] >> w2[i];

	for(int l = 1; l <= q; l+=B){
		int r = min(q+1, l+B), j=0;
		fill(ch,ch+m+1,false); rs();
		updE.clear(); fixE.clear();
		for(int i = 0; i < B; i++) edge[i].clear();

		for(int i = l; i < r; i++)
			if(t[i]==1 and !ch[s[i]]) 
				updE.pb(i), ch[s[i]]=1;
		for(int i = 1; i <= m; i++) if(!ch[i]) fixE.pb(i);

		for(int i = l; i < r; i++){
			if(t[i]==1) w[s[i]]=w2[i];
			else for(auto j : updE) 
				if(w[s[j]]>=w2[i]) edge[i-l].pb(s[j]);
		}
		
		vector<int> ord(r-l,0); iota(all(ord),l);
		sort(all(fixE), [&](int i, int j){ return w[i]>w[j]; });
		sort(all(ord), [&](int i, int j){ return w2[i]>w2[j]; });
		
		for(auto i : ord){
			if(t[i]==1) continue;
			while(j<SZ(fixE) and w[fixE[j]]>=w2[i])
				unionSet(u[fixE[j]],v[fixE[j]]), j++;
			int pr = SZ(st);
			for(auto j : edge[i-l]) unionSet(u[j],v[j]); 
			ans[i] = sz[findSet(s[i])]; rollback(pr);
		}
	}
	for(int i = 1; i <= q; i++) if(t[i]==2) cout << ans[i] << "\n";
}

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6492 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 19 ms 9860 KB Output is correct
4 Correct 3 ms 4700 KB Output is correct
5 Correct 8 ms 7516 KB Output is correct
6 Correct 7 ms 7512 KB Output is correct
7 Correct 8 ms 7676 KB Output is correct
8 Correct 10 ms 7516 KB Output is correct
9 Correct 9 ms 7516 KB Output is correct
10 Correct 11 ms 7652 KB Output is correct
11 Correct 9 ms 7516 KB Output is correct
12 Correct 10 ms 7512 KB Output is correct
13 Correct 13 ms 8284 KB Output is correct
14 Correct 12 ms 8024 KB Output is correct
15 Correct 11 ms 7704 KB Output is correct
16 Correct 9 ms 7516 KB Output is correct
17 Correct 9 ms 7516 KB Output is correct

Subtask #2
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 898 ms 64484 KB Output is correct
2 Correct 917 ms 64316 KB Output is correct
3 Correct 907 ms 64400 KB Output is correct
4 Correct 928 ms 64304 KB Output is correct
5 Correct 934 ms 64520 KB Output is correct
6 Correct 984 ms 64252 KB Output is correct
7 Correct 1022 ms 64440 KB Output is correct
8 Correct 1035 ms 64840 KB Output is correct
9 Correct 27 ms 8280 KB Output is correct
10 Correct 477 ms 63432 KB Output is correct
11 Correct 478 ms 63304 KB Output is correct
12 Correct 795 ms 62392 KB Output is correct
13 Correct 813 ms 67148 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 658 ms 46132 KB Output is correct
2 Correct 336 ms 19684 KB Output is correct
3 Correct 697 ms 46084 KB Output is correct
4 Correct 655 ms 46464 KB Output is correct
5 Correct 26 ms 8280 KB Output is correct
6 Correct 680 ms 46116 KB Output is correct
7 Correct 624 ms 46148 KB Output is correct
8 Correct 596 ms 46140 KB Output is correct
9 Correct 542 ms 44248 KB Output is correct
10 Correct 498 ms 44112 KB Output is correct
11 Correct 532 ms 48680 KB Output is correct
12 Correct 517 ms 48400 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1481 ms 63064 KB Output is correct
2 Correct 28 ms 8272 KB Output is correct
3 Correct 166 ms 10456 KB Output is correct
4 Correct 76 ms 10448 KB Output is correct
5 Correct 752 ms 61388 KB Output is correct
6 Correct 1433 ms 62852 KB Output is correct
7 Correct 735 ms 61468 KB Output is correct
8 Correct 686 ms 61676 KB Output is correct
9 Correct 693 ms 61996 KB Output is correct
10 Correct 695 ms 61508 KB Output is correct
11 Correct 1098 ms 62644 KB Output is correct
12 Correct 1081 ms 62880 KB Output is correct
13 Correct 1101 ms 62640 KB Output is correct
14 Correct 691 ms 61488 KB Output is correct
15 Correct 702 ms 61380 KB Output is correct
16 Correct 1506 ms 63592 KB Output is correct
17 Correct 1488 ms 63412 KB Output is correct
18 Correct 1496 ms 64060 KB Output is correct
19 Correct 1469 ms 64024 KB Output is correct
20 Correct 1251 ms 62936 KB Output is correct
21 Correct 1238 ms 62828 KB Output is correct
22 Correct 1450 ms 62308 KB Output is correct
23 Correct 816 ms 56464 KB Output is correct

Subtask #5
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 898 ms 64484 KB Output is correct
2 Correct 917 ms 64316 KB Output is correct
3 Correct 907 ms 64400 KB Output is correct
4 Correct 928 ms 64304 KB Output is correct
5 Correct 934 ms 64520 KB Output is correct
6 Correct 984 ms 64252 KB Output is correct
7 Correct 1022 ms 64440 KB Output is correct
8 Correct 1035 ms 64840 KB Output is correct
9 Correct 27 ms 8280 KB Output is correct
10 Correct 477 ms 63432 KB Output is correct
11 Correct 478 ms 63304 KB Output is correct
12 Correct 795 ms 62392 KB Output is correct
13 Correct 813 ms 67148 KB Output is correct
14 Correct 658 ms 46132 KB Output is correct
15 Correct 336 ms 19684 KB Output is correct
16 Correct 697 ms 46084 KB Output is correct
17 Correct 655 ms 46464 KB Output is correct
18 Correct 26 ms 8280 KB Output is correct
19 Correct 680 ms 46116 KB Output is correct
20 Correct 624 ms 46148 KB Output is correct
21 Correct 596 ms 46140 KB Output is correct
22 Correct 542 ms 44248 KB Output is correct
23 Correct 498 ms 44112 KB Output is correct
24 Correct 532 ms 48680 KB Output is correct
25 Correct 517 ms 48400 KB Output is correct
26 Correct 906 ms 64348 KB Output is correct
27 Correct 972 ms 64568 KB Output is correct
28 Correct 956 ms 64380 KB Output is correct
29 Correct 844 ms 64032 KB Output is correct
30 Correct 988 ms 64412 KB Output is correct
31 Correct 1022 ms 64552 KB Output is correct
32 Correct 1028 ms 64060 KB Output is correct
33 Correct 958 ms 64364 KB Output is correct
34 Correct 1002 ms 64372 KB Output is correct
35 Correct 998 ms 64500 KB Output is correct
36 Correct 863 ms 64216 KB Output is correct
37 Correct 882 ms 64020 KB Output is correct
38 Correct 926 ms 64104 KB Output is correct
39 Correct 799 ms 62276 KB Output is correct
40 Correct 786 ms 62184 KB Output is correct
41 Correct 783 ms 62116 KB Output is correct
42 Correct 761 ms 64280 KB Output is correct
43 Correct 743 ms 64144 KB Output is correct
44 Correct 749 ms 63828 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6492 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 19 ms 9860 KB Output is correct
4 Correct 3 ms 4700 KB Output is correct
5 Correct 8 ms 7516 KB Output is correct
6 Correct 7 ms 7512 KB Output is correct
7 Correct 8 ms 7676 KB Output is correct
8 Correct 10 ms 7516 KB Output is correct
9 Correct 9 ms 7516 KB Output is correct
10 Correct 11 ms 7652 KB Output is correct
11 Correct 9 ms 7516 KB Output is correct
12 Correct 10 ms 7512 KB Output is correct
13 Correct 13 ms 8284 KB Output is correct
14 Correct 12 ms 8024 KB Output is correct
15 Correct 11 ms 7704 KB Output is correct
16 Correct 9 ms 7516 KB Output is correct
17 Correct 9 ms 7516 KB Output is correct
18 Correct 898 ms 64484 KB Output is correct
19 Correct 917 ms 64316 KB Output is correct
20 Correct 907 ms 64400 KB Output is correct
21 Correct 928 ms 64304 KB Output is correct
22 Correct 934 ms 64520 KB Output is correct
23 Correct 984 ms 64252 KB Output is correct
24 Correct 1022 ms 64440 KB Output is correct
25 Correct 1035 ms 64840 KB Output is correct
26 Correct 27 ms 8280 KB Output is correct
27 Correct 477 ms 63432 KB Output is correct
28 Correct 478 ms 63304 KB Output is correct
29 Correct 795 ms 62392 KB Output is correct
30 Correct 813 ms 67148 KB Output is correct
31 Correct 658 ms 46132 KB Output is correct
32 Correct 336 ms 19684 KB Output is correct
33 Correct 697 ms 46084 KB Output is correct
34 Correct 655 ms 46464 KB Output is correct
35 Correct 26 ms 8280 KB Output is correct
36 Correct 680 ms 46116 KB Output is correct
37 Correct 624 ms 46148 KB Output is correct
38 Correct 596 ms 46140 KB Output is correct
39 Correct 542 ms 44248 KB Output is correct
40 Correct 498 ms 44112 KB Output is correct
41 Correct 532 ms 48680 KB Output is correct
42 Correct 517 ms 48400 KB Output is correct
43 Correct 1481 ms 63064 KB Output is correct
44 Correct 28 ms 8272 KB Output is correct
45 Correct 166 ms 10456 KB Output is correct
46 Correct 76 ms 10448 KB Output is correct
47 Correct 752 ms 61388 KB Output is correct
48 Correct 1433 ms 62852 KB Output is correct
49 Correct 735 ms 61468 KB Output is correct
50 Correct 686 ms 61676 KB Output is correct
51 Correct 693 ms 61996 KB Output is correct
52 Correct 695 ms 61508 KB Output is correct
53 Correct 1098 ms 62644 KB Output is correct
54 Correct 1081 ms 62880 KB Output is correct
55 Correct 1101 ms 62640 KB Output is correct
56 Correct 691 ms 61488 KB Output is correct
57 Correct 702 ms 61380 KB Output is correct
58 Correct 1506 ms 63592 KB Output is correct
59 Correct 1488 ms 63412 KB Output is correct
60 Correct 1496 ms 64060 KB Output is correct
61 Correct 1469 ms 64024 KB Output is correct
62 Correct 1251 ms 62936 KB Output is correct
63 Correct 1238 ms 62828 KB Output is correct
64 Correct 1450 ms 62308 KB Output is correct
65 Correct 816 ms 56464 KB Output is correct
66 Correct 906 ms 64348 KB Output is correct
67 Correct 972 ms 64568 KB Output is correct
68 Correct 956 ms 64380 KB Output is correct
69 Correct 844 ms 64032 KB Output is correct
70 Correct 988 ms 64412 KB Output is correct
71 Correct 1022 ms 64552 KB Output is correct
72 Correct 1028 ms 64060 KB Output is correct
73 Correct 958 ms 64364 KB Output is correct
74 Correct 1002 ms 64372 KB Output is correct
75 Correct 998 ms 64500 KB Output is correct
76 Correct 863 ms 64216 KB Output is correct
77 Correct 882 ms 64020 KB Output is correct
78 Correct 926 ms 64104 KB Output is correct
79 Correct 799 ms 62276 KB Output is correct
80 Correct 786 ms 62184 KB Output is correct
81 Correct 783 ms 62116 KB Output is correct
82 Correct 761 ms 64280 KB Output is correct
83 Correct 743 ms 64144 KB Output is correct
84 Correct 749 ms 63828 KB Output is correct
85 Correct 1844 ms 65980 KB Output is correct
86 Correct 172 ms 13536 KB Output is correct
87 Correct 86 ms 13520 KB Output is correct
88 Correct 919 ms 64300 KB Output is correct
89 Correct 1862 ms 65820 KB Output is correct
90 Correct 1043 ms 64412 KB Output is correct
91 Correct 1006 ms 64204 KB Output is correct
92 Correct 1000 ms 64420 KB Output is correct
93 Correct 1131 ms 64176 KB Output is correct
94 Correct 1457 ms 65996 KB Output is correct
95 Correct 1417 ms 66004 KB Output is correct
96 Correct 1368 ms 65732 KB Output is correct
97 Correct 812 ms 62000 KB Output is correct
98 Correct 965 ms 67448 KB Output is correct
99 Correct 1877 ms 66192 KB Output is correct
100 Correct 1965 ms 66420 KB Output is correct
101 Correct 1863 ms 67164 KB Output is correct
102 Correct 1961 ms 66920 KB Output is correct
103 Correct 1699 ms 66048 KB Output is correct
104 Correct 1677 ms 66316 KB Output is correct
105 Correct 1364 ms 69032 KB Output is correct
106 Correct 1248 ms 68972 KB Output is correct
107 Correct 1384 ms 64012 KB Output is correct
108 Correct 1729 ms 65172 KB Output is correct
109 Correct 1075 ms 59460 KB Output is correct