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Submission #444298

# Submission time Handle Problem Language Result Execution time Memory
444298 2021-07-13T14:22:52 Z dutch Bridges (APIO19_bridges) C++17
100 / 100
 2050 ms 9840 KB 
#include <bits/stdc++.h>
using namespace std;
#define F(z) while(e[z] >= 0) z = e[z];

const int MAXN = 5e4, LIM = 1e5, SQRT = 500;

int n, m, q, e[MAXN], w[LIM], rb[3][SQRT], p, g[2][LIM], b[4][LIM];
bool on[LIM];

void unite(int i, bool c){
	int u = g[0][i], v = g[1][i];
	F(u) F(v)
	if(u == v) return;
	if(e[u] > e[v]) swap(u, v);
	if(c){
		rb[0][p] = u, rb[1][p] = v;
		rb[2][p++] = e[v];
	}
	e[u] += e[v], e[v] = u;
}

signed main(){
	cin.tie(0)->sync_with_stdio(0);
	cin >> n >> m;

	vector<array<int, 3>> a(m); // -wt, type, time/queryID
	for(int i=0; i<m; ++i){
		cin >> g[0][i] >> g[1][i] >> w[i];
		--g[0][i], --g[1][i];
		a[i] = {-w[i], 1, -1-i};
	}
	cin >> q;
	a.resize(m+q);
	for(int i=0; i<q; ++i){
		cin >> b[0][i] >> b[1][i] >> b[2][i];
		--b[1][i];
		a[i+m] = {-b[2][i], b[0][i], i};
	}

	sort(a.begin(), a.end());

	for(int l=0; l<q; l+=SQRT){
		int r = min(q, l+SQRT);
		vector<int> curr;
		for(int i=l; i<r; ++i){
			if(b[0][i] == 1){
				on[b[1][i]] = 1;
				curr.push_back(b[1][i]);
			}
		}

		fill(e, e+n, -1);
		for(auto &i : a){
			if(i[1] < 2){
				int j = i[2] < 0 ? -i[2]-1 : (i[2] < l ? b[1][i[2]] : -1);
				if(j >= 0 && !on[j] && -i[0] == w[j]) unite(j, 0);
			}else if(l <= i[2] && i[2] < r){
				for(int j=i[2]; --j>=l; ){
					if(b[0][j] < 2 && on[b[1][j]]){
						on[b[1][j]] = 0;
						if(b[2][j] >= -i[0]) unite(b[1][j], 1);
					}
				}
				for(int &j : curr) if(on[j] && w[j] >= -i[0]) unite(j, 1);

				F(b[1][i[2]])
				b[3][i[2]] = -e[b[1][i[2]]];

				for(int j=l; j<r; ++j){
					if(b[0][j] < 2) on[b[1][j]] = 1;
					if(p) --p, e[rb[0][p]] -= (e[rb[1][p]] = rb[2][p]);
				}	
			}
		}

		for(int i=l; i<r; ++i){
			if(b[0][i] < 2){
				on[b[1][i]] = 0;
				w[b[1][i]] = b[2][i];
			}
		}
	}

	for(int i=0; i<q; ++i) if(b[0][i] > 1) cout << b[3][i] << '\n';
}

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 324 KB Output is correct
3 Correct 33 ms 828 KB Output is correct
4 Correct 14 ms 740 KB Output is correct
5 Correct 32 ms 752 KB Output is correct
6 Correct 28 ms 780 KB Output is correct
7 Correct 29 ms 700 KB Output is correct
8 Correct 34 ms 780 KB Output is correct
9 Correct 29 ms 708 KB Output is correct
10 Correct 32 ms 756 KB Output is correct
11 Correct 31 ms 772 KB Output is correct
12 Correct 32 ms 772 KB Output is correct
13 Correct 36 ms 772 KB Output is correct
14 Correct 34 ms 716 KB Output is correct
15 Correct 34 ms 776 KB Output is correct
16 Correct 34 ms 716 KB Output is correct
17 Correct 30 ms 708 KB Output is correct

Subtask #2
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1296 ms 7276 KB Output is correct
2 Correct 1256 ms 7244 KB Output is correct
3 Correct 1249 ms 7244 KB Output is correct
4 Correct 1299 ms 7372 KB Output is correct
5 Correct 1313 ms 7288 KB Output is correct
6 Correct 1430 ms 7312 KB Output is correct
7 Correct 1484 ms 7320 KB Output is correct
8 Correct 1451 ms 7296 KB Output is correct
9 Correct 168 ms 4644 KB Output is correct
10 Correct 882 ms 6284 KB Output is correct
11 Correct 856 ms 6236 KB Output is correct
12 Correct 850 ms 7468 KB Output is correct
13 Correct 1101 ms 7244 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1014 ms 6436 KB Output is correct
2 Correct 654 ms 5124 KB Output is correct
3 Correct 1044 ms 6424 KB Output is correct
4 Correct 1043 ms 6636 KB Output is correct
5 Correct 175 ms 4548 KB Output is correct
6 Correct 1042 ms 6480 KB Output is correct
7 Correct 984 ms 6504 KB Output is correct
8 Correct 915 ms 6408 KB Output is correct
9 Correct 677 ms 6636 KB Output is correct
10 Correct 677 ms 6604 KB Output is correct
11 Correct 763 ms 6316 KB Output is correct
12 Correct 736 ms 6292 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1431 ms 9800 KB Output is correct
2 Correct 165 ms 4552 KB Output is correct
3 Correct 123 ms 5716 KB Output is correct
4 Correct 124 ms 5908 KB Output is correct
5 Correct 915 ms 8480 KB Output is correct
6 Correct 1394 ms 9840 KB Output is correct
7 Correct 863 ms 8336 KB Output is correct
8 Correct 712 ms 7300 KB Output is correct
9 Correct 708 ms 7412 KB Output is correct
10 Correct 566 ms 7372 KB Output is correct
11 Correct 1129 ms 8472 KB Output is correct
12 Correct 1089 ms 8592 KB Output is correct
13 Correct 914 ms 8580 KB Output is correct
14 Correct 871 ms 8396 KB Output is correct
15 Correct 886 ms 8412 KB Output is correct
16 Correct 1466 ms 9720 KB Output is correct
17 Correct 1477 ms 9684 KB Output is correct
18 Correct 1457 ms 9804 KB Output is correct
19 Correct 1432 ms 9776 KB Output is correct
20 Correct 1014 ms 9076 KB Output is correct
21 Correct 1037 ms 8852 KB Output is correct
22 Correct 1268 ms 9560 KB Output is correct
23 Correct 882 ms 7776 KB Output is correct

Subtask #5
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1296 ms 7276 KB Output is correct
2 Correct 1256 ms 7244 KB Output is correct
3 Correct 1249 ms 7244 KB Output is correct
4 Correct 1299 ms 7372 KB Output is correct
5 Correct 1313 ms 7288 KB Output is correct
6 Correct 1430 ms 7312 KB Output is correct
7 Correct 1484 ms 7320 KB Output is correct
8 Correct 1451 ms 7296 KB Output is correct
9 Correct 168 ms 4644 KB Output is correct
10 Correct 882 ms 6284 KB Output is correct
11 Correct 856 ms 6236 KB Output is correct
12 Correct 850 ms 7468 KB Output is correct
13 Correct 1101 ms 7244 KB Output is correct
14 Correct 1014 ms 6436 KB Output is correct
15 Correct 654 ms 5124 KB Output is correct
16 Correct 1044 ms 6424 KB Output is correct
17 Correct 1043 ms 6636 KB Output is correct
18 Correct 175 ms 4548 KB Output is correct
19 Correct 1042 ms 6480 KB Output is correct
20 Correct 984 ms 6504 KB Output is correct
21 Correct 915 ms 6408 KB Output is correct
22 Correct 677 ms 6636 KB Output is correct
23 Correct 677 ms 6604 KB Output is correct
24 Correct 763 ms 6316 KB Output is correct
25 Correct 736 ms 6292 KB Output is correct
26 Correct 1236 ms 7304 KB Output is correct
27 Correct 1385 ms 7336 KB Output is correct
28 Correct 1376 ms 7604 KB Output is correct
29 Correct 1147 ms 7272 KB Output is correct
30 Correct 1434 ms 7240 KB Output is correct
31 Correct 1429 ms 7272 KB Output is correct
32 Correct 1434 ms 7216 KB Output is correct
33 Correct 1309 ms 7288 KB Output is correct
34 Correct 1309 ms 7416 KB Output is correct
35 Correct 1341 ms 7296 KB Output is correct
36 Correct 1142 ms 7428 KB Output is correct
37 Correct 1139 ms 7400 KB Output is correct
38 Correct 1127 ms 7324 KB Output is correct
39 Correct 856 ms 7628 KB Output is correct
40 Correct 848 ms 7440 KB Output is correct
41 Correct 856 ms 7312 KB Output is correct
42 Correct 1006 ms 7288 KB Output is correct
43 Correct 1002 ms 7160 KB Output is correct
44 Correct 1002 ms 7208 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 324 KB Output is correct
3 Correct 33 ms 828 KB Output is correct
4 Correct 14 ms 740 KB Output is correct
5 Correct 32 ms 752 KB Output is correct
6 Correct 28 ms 780 KB Output is correct
7 Correct 29 ms 700 KB Output is correct
8 Correct 34 ms 780 KB Output is correct
9 Correct 29 ms 708 KB Output is correct
10 Correct 32 ms 756 KB Output is correct
11 Correct 31 ms 772 KB Output is correct
12 Correct 32 ms 772 KB Output is correct
13 Correct 36 ms 772 KB Output is correct
14 Correct 34 ms 716 KB Output is correct
15 Correct 34 ms 776 KB Output is correct
16 Correct 34 ms 716 KB Output is correct
17 Correct 30 ms 708 KB Output is correct
18 Correct 1296 ms 7276 KB Output is correct
19 Correct 1256 ms 7244 KB Output is correct
20 Correct 1249 ms 7244 KB Output is correct
21 Correct 1299 ms 7372 KB Output is correct
22 Correct 1313 ms 7288 KB Output is correct
23 Correct 1430 ms 7312 KB Output is correct
24 Correct 1484 ms 7320 KB Output is correct
25 Correct 1451 ms 7296 KB Output is correct
26 Correct 168 ms 4644 KB Output is correct
27 Correct 882 ms 6284 KB Output is correct
28 Correct 856 ms 6236 KB Output is correct
29 Correct 850 ms 7468 KB Output is correct
30 Correct 1101 ms 7244 KB Output is correct
31 Correct 1014 ms 6436 KB Output is correct
32 Correct 654 ms 5124 KB Output is correct
33 Correct 1044 ms 6424 KB Output is correct
34 Correct 1043 ms 6636 KB Output is correct
35 Correct 175 ms 4548 KB Output is correct
36 Correct 1042 ms 6480 KB Output is correct
37 Correct 984 ms 6504 KB Output is correct
38 Correct 915 ms 6408 KB Output is correct
39 Correct 677 ms 6636 KB Output is correct
40 Correct 677 ms 6604 KB Output is correct
41 Correct 763 ms 6316 KB Output is correct
42 Correct 736 ms 6292 KB Output is correct
43 Correct 1431 ms 9800 KB Output is correct
44 Correct 165 ms 4552 KB Output is correct
45 Correct 123 ms 5716 KB Output is correct
46 Correct 124 ms 5908 KB Output is correct
47 Correct 915 ms 8480 KB Output is correct
48 Correct 1394 ms 9840 KB Output is correct
49 Correct 863 ms 8336 KB Output is correct
50 Correct 712 ms 7300 KB Output is correct
51 Correct 708 ms 7412 KB Output is correct
52 Correct 566 ms 7372 KB Output is correct
53 Correct 1129 ms 8472 KB Output is correct
54 Correct 1089 ms 8592 KB Output is correct
55 Correct 914 ms 8580 KB Output is correct
56 Correct 871 ms 8396 KB Output is correct
57 Correct 886 ms 8412 KB Output is correct
58 Correct 1466 ms 9720 KB Output is correct
59 Correct 1477 ms 9684 KB Output is correct
60 Correct 1457 ms 9804 KB Output is correct
61 Correct 1432 ms 9776 KB Output is correct
62 Correct 1014 ms 9076 KB Output is correct
63 Correct 1037 ms 8852 KB Output is correct
64 Correct 1268 ms 9560 KB Output is correct
65 Correct 882 ms 7776 KB Output is correct
66 Correct 1236 ms 7304 KB Output is correct
67 Correct 1385 ms 7336 KB Output is correct
68 Correct 1376 ms 7604 KB Output is correct
69 Correct 1147 ms 7272 KB Output is correct
70 Correct 1434 ms 7240 KB Output is correct
71 Correct 1429 ms 7272 KB Output is correct
72 Correct 1434 ms 7216 KB Output is correct
73 Correct 1309 ms 7288 KB Output is correct
74 Correct 1309 ms 7416 KB Output is correct
75 Correct 1341 ms 7296 KB Output is correct
76 Correct 1142 ms 7428 KB Output is correct
77 Correct 1139 ms 7400 KB Output is correct
78 Correct 1127 ms 7324 KB Output is correct
79 Correct 856 ms 7628 KB Output is correct
80 Correct 848 ms 7440 KB Output is correct
81 Correct 856 ms 7312 KB Output is correct
82 Correct 1006 ms 7288 KB Output is correct
83 Correct 1002 ms 7160 KB Output is correct
84 Correct 1002 ms 7208 KB Output is correct
85 Correct 1998 ms 9724 KB Output is correct
86 Correct 148 ms 5756 KB Output is correct
87 Correct 145 ms 5852 KB Output is correct
88 Correct 1281 ms 8220 KB Output is correct
89 Correct 1951 ms 9620 KB Output is correct
90 Correct 1282 ms 8188 KB Output is correct
91 Correct 1372 ms 7160 KB Output is correct
92 Correct 1326 ms 7292 KB Output is correct
93 Correct 1495 ms 7268 KB Output is correct
94 Correct 1820 ms 8328 KB Output is correct
95 Correct 1688 ms 8620 KB Output is correct
96 Correct 1726 ms 8416 KB Output is correct
97 Correct 1022 ms 8424 KB Output is correct
98 Correct 1197 ms 8044 KB Output is correct
99 Correct 2017 ms 9660 KB Output is correct
100 Correct 2039 ms 9576 KB Output is correct
101 Correct 2050 ms 9764 KB Output is correct
102 Correct 2015 ms 9768 KB Output is correct
103 Correct 1867 ms 8696 KB Output is correct
104 Correct 1868 ms 8792 KB Output is correct
105 Correct 1729 ms 8612 KB Output is correct
106 Correct 1499 ms 8260 KB Output is correct
107 Correct 1294 ms 8916 KB Output is correct
108 Correct 1990 ms 9336 KB Output is correct
109 Correct 1377 ms 7500 KB Output is correct