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Submission #677078

# Submission time Handle Problem Language Result Execution time Memory
677078 2023-01-02T08:43:16 Z Dan4Life Bridges (APIO19_bridges) C++17
100 / 100
 2532 ms 67964 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 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 23 ms 3712 KB Output is correct
4 Correct 3 ms 596 KB Output is correct
5 Correct 9 ms 1636 KB Output is correct
6 Correct 7 ms 1520 KB Output is correct
7 Correct 10 ms 1620 KB Output is correct
8 Correct 10 ms 1620 KB Output is correct
9 Correct 11 ms 1492 KB Output is correct
10 Correct 11 ms 1744 KB Output is correct
11 Correct 11 ms 1620 KB Output is correct
12 Correct 12 ms 1692 KB Output is correct
13 Correct 15 ms 2292 KB Output is correct
14 Correct 14 ms 1976 KB Output is correct
15 Correct 12 ms 1728 KB Output is correct
16 Correct 10 ms 1640 KB Output is correct
17 Correct 12 ms 1644 KB Output is correct

Subtask #2
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1307 ms 59920 KB Output is correct
2 Correct 1292 ms 59996 KB Output is correct
3 Correct 1306 ms 60036 KB Output is correct
4 Correct 1355 ms 60152 KB Output is correct
5 Correct 1370 ms 60164 KB Output is correct
6 Correct 1805 ms 60140 KB Output is correct
7 Correct 1795 ms 60360 KB Output is correct
8 Correct 1811 ms 60116 KB Output is correct
9 Correct 30 ms 3668 KB Output is correct
10 Correct 920 ms 61776 KB Output is correct
11 Correct 886 ms 61844 KB Output is correct
12 Correct 1155 ms 60052 KB Output is correct
13 Correct 1227 ms 64652 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1091 ms 41524 KB Output is correct
2 Correct 717 ms 15276 KB Output is correct
3 Correct 1337 ms 41716 KB Output is correct
4 Correct 1119 ms 43552 KB Output is correct
5 Correct 36 ms 4948 KB Output is correct
6 Correct 1242 ms 43572 KB Output is correct
7 Correct 1037 ms 43464 KB Output is correct
8 Correct 925 ms 43496 KB Output is correct
9 Correct 750 ms 41588 KB Output is correct
10 Correct 700 ms 41452 KB Output is correct
11 Correct 814 ms 46084 KB Output is correct
12 Correct 721 ms 45632 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1896 ms 58100 KB Output is correct
2 Correct 33 ms 5048 KB Output is correct
3 Correct 182 ms 6052 KB Output is correct
4 Correct 94 ms 6156 KB Output is correct
5 Correct 917 ms 60264 KB Output is correct
6 Correct 1902 ms 60128 KB Output is correct
7 Correct 985 ms 60304 KB Output is correct
8 Correct 908 ms 59256 KB Output is correct
9 Correct 942 ms 59316 KB Output is correct
10 Correct 956 ms 59476 KB Output is correct
11 Correct 1442 ms 60148 KB Output is correct
12 Correct 1393 ms 60200 KB Output is correct
13 Correct 1513 ms 60364 KB Output is correct
14 Correct 1018 ms 60196 KB Output is correct
15 Correct 913 ms 60208 KB Output is correct
16 Correct 1915 ms 60804 KB Output is correct
17 Correct 2000 ms 60832 KB Output is correct
18 Correct 1842 ms 61056 KB Output is correct
19 Correct 1925 ms 61088 KB Output is correct
20 Correct 1535 ms 60716 KB Output is correct
21 Correct 1583 ms 60792 KB Output is correct
22 Correct 1922 ms 59776 KB Output is correct
23 Correct 1050 ms 55132 KB Output is correct

Subtask #5
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1307 ms 59920 KB Output is correct
2 Correct 1292 ms 59996 KB Output is correct
3 Correct 1306 ms 60036 KB Output is correct
4 Correct 1355 ms 60152 KB Output is correct
5 Correct 1370 ms 60164 KB Output is correct
6 Correct 1805 ms 60140 KB Output is correct
7 Correct 1795 ms 60360 KB Output is correct
8 Correct 1811 ms 60116 KB Output is correct
9 Correct 30 ms 3668 KB Output is correct
10 Correct 920 ms 61776 KB Output is correct
11 Correct 886 ms 61844 KB Output is correct
12 Correct 1155 ms 60052 KB Output is correct
13 Correct 1227 ms 64652 KB Output is correct
14 Correct 1091 ms 41524 KB Output is correct
15 Correct 717 ms 15276 KB Output is correct
16 Correct 1337 ms 41716 KB Output is correct
17 Correct 1119 ms 43552 KB Output is correct
18 Correct 36 ms 4948 KB Output is correct
19 Correct 1242 ms 43572 KB Output is correct
20 Correct 1037 ms 43464 KB Output is correct
21 Correct 925 ms 43496 KB Output is correct
22 Correct 750 ms 41588 KB Output is correct
23 Correct 700 ms 41452 KB Output is correct
24 Correct 814 ms 46084 KB Output is correct
25 Correct 721 ms 45632 KB Output is correct
26 Correct 1395 ms 61928 KB Output is correct
27 Correct 1640 ms 62164 KB Output is correct
28 Correct 1433 ms 61916 KB Output is correct
29 Correct 1172 ms 61692 KB Output is correct
30 Correct 1697 ms 62060 KB Output is correct
31 Correct 1677 ms 62340 KB Output is correct
32 Correct 1765 ms 62340 KB Output is correct
33 Correct 1511 ms 62196 KB Output is correct
34 Correct 1524 ms 62228 KB Output is correct
35 Correct 1542 ms 62204 KB Output is correct
36 Correct 1264 ms 62012 KB Output is correct
37 Correct 1227 ms 61900 KB Output is correct
38 Correct 1183 ms 61932 KB Output is correct
39 Correct 1045 ms 59944 KB Output is correct
40 Correct 1044 ms 60012 KB Output is correct
41 Correct 1052 ms 60000 KB Output is correct
42 Correct 1035 ms 62148 KB Output is correct
43 Correct 1077 ms 62132 KB Output is correct
44 Correct 1075 ms 61724 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 23 ms 3712 KB Output is correct
4 Correct 3 ms 596 KB Output is correct
5 Correct 9 ms 1636 KB Output is correct
6 Correct 7 ms 1520 KB Output is correct
7 Correct 10 ms 1620 KB Output is correct
8 Correct 10 ms 1620 KB Output is correct
9 Correct 11 ms 1492 KB Output is correct
10 Correct 11 ms 1744 KB Output is correct
11 Correct 11 ms 1620 KB Output is correct
12 Correct 12 ms 1692 KB Output is correct
13 Correct 15 ms 2292 KB Output is correct
14 Correct 14 ms 1976 KB Output is correct
15 Correct 12 ms 1728 KB Output is correct
16 Correct 10 ms 1640 KB Output is correct
17 Correct 12 ms 1644 KB Output is correct
18 Correct 1307 ms 59920 KB Output is correct
19 Correct 1292 ms 59996 KB Output is correct
20 Correct 1306 ms 60036 KB Output is correct
21 Correct 1355 ms 60152 KB Output is correct
22 Correct 1370 ms 60164 KB Output is correct
23 Correct 1805 ms 60140 KB Output is correct
24 Correct 1795 ms 60360 KB Output is correct
25 Correct 1811 ms 60116 KB Output is correct
26 Correct 30 ms 3668 KB Output is correct
27 Correct 920 ms 61776 KB Output is correct
28 Correct 886 ms 61844 KB Output is correct
29 Correct 1155 ms 60052 KB Output is correct
30 Correct 1227 ms 64652 KB Output is correct
31 Correct 1091 ms 41524 KB Output is correct
32 Correct 717 ms 15276 KB Output is correct
33 Correct 1337 ms 41716 KB Output is correct
34 Correct 1119 ms 43552 KB Output is correct
35 Correct 36 ms 4948 KB Output is correct
36 Correct 1242 ms 43572 KB Output is correct
37 Correct 1037 ms 43464 KB Output is correct
38 Correct 925 ms 43496 KB Output is correct
39 Correct 750 ms 41588 KB Output is correct
40 Correct 700 ms 41452 KB Output is correct
41 Correct 814 ms 46084 KB Output is correct
42 Correct 721 ms 45632 KB Output is correct
43 Correct 1896 ms 58100 KB Output is correct
44 Correct 33 ms 5048 KB Output is correct
45 Correct 182 ms 6052 KB Output is correct
46 Correct 94 ms 6156 KB Output is correct
47 Correct 917 ms 60264 KB Output is correct
48 Correct 1902 ms 60128 KB Output is correct
49 Correct 985 ms 60304 KB Output is correct
50 Correct 908 ms 59256 KB Output is correct
51 Correct 942 ms 59316 KB Output is correct
52 Correct 956 ms 59476 KB Output is correct
53 Correct 1442 ms 60148 KB Output is correct
54 Correct 1393 ms 60200 KB Output is correct
55 Correct 1513 ms 60364 KB Output is correct
56 Correct 1018 ms 60196 KB Output is correct
57 Correct 913 ms 60208 KB Output is correct
58 Correct 1915 ms 60804 KB Output is correct
59 Correct 2000 ms 60832 KB Output is correct
60 Correct 1842 ms 61056 KB Output is correct
61 Correct 1925 ms 61088 KB Output is correct
62 Correct 1535 ms 60716 KB Output is correct
63 Correct 1583 ms 60792 KB Output is correct
64 Correct 1922 ms 59776 KB Output is correct
65 Correct 1050 ms 55132 KB Output is correct
66 Correct 1395 ms 61928 KB Output is correct
67 Correct 1640 ms 62164 KB Output is correct
68 Correct 1433 ms 61916 KB Output is correct
69 Correct 1172 ms 61692 KB Output is correct
70 Correct 1697 ms 62060 KB Output is correct
71 Correct 1677 ms 62340 KB Output is correct
72 Correct 1765 ms 62340 KB Output is correct
73 Correct 1511 ms 62196 KB Output is correct
74 Correct 1524 ms 62228 KB Output is correct
75 Correct 1542 ms 62204 KB Output is correct
76 Correct 1264 ms 62012 KB Output is correct
77 Correct 1227 ms 61900 KB Output is correct
78 Correct 1183 ms 61932 KB Output is correct
79 Correct 1045 ms 59944 KB Output is correct
80 Correct 1044 ms 60012 KB Output is correct
81 Correct 1052 ms 60000 KB Output is correct
82 Correct 1035 ms 62148 KB Output is correct
83 Correct 1077 ms 62132 KB Output is correct
84 Correct 1075 ms 61724 KB Output is correct
85 Correct 2532 ms 63452 KB Output is correct
86 Correct 254 ms 9132 KB Output is correct
87 Correct 120 ms 9172 KB Output is correct
88 Correct 1420 ms 63636 KB Output is correct
89 Correct 2380 ms 65112 KB Output is correct
90 Correct 1491 ms 63560 KB Output is correct
91 Correct 1570 ms 62708 KB Output is correct
92 Correct 1603 ms 62756 KB Output is correct
93 Correct 2101 ms 62656 KB Output is correct
94 Correct 1928 ms 64572 KB Output is correct
95 Correct 1958 ms 64616 KB Output is correct
96 Correct 2213 ms 64412 KB Output is correct
97 Correct 1223 ms 61300 KB Output is correct
98 Correct 1353 ms 66584 KB Output is correct
99 Correct 2437 ms 65684 KB Output is correct
100 Correct 2384 ms 65648 KB Output is correct
101 Correct 2492 ms 65984 KB Output is correct
102 Correct 2500 ms 66036 KB Output is correct
103 Correct 2212 ms 64964 KB Output is correct
104 Correct 2387 ms 64892 KB Output is correct
105 Correct 1908 ms 67964 KB Output is correct
106 Correct 1585 ms 67536 KB Output is correct
107 Correct 1919 ms 62660 KB Output is correct
108 Correct 2375 ms 64328 KB Output is correct
109 Correct 1679 ms 58148 KB Output is correct