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Submission #926585

# Submission time Handle Problem Language Result Execution time Memory
926585 2024-02-13T11:28:27 Z TAhmed33 Bridges (APIO19_bridges) C++
100 / 100
 2967 ms 9028 KB 
#include <bits/stdc++.h>
using namespace std;
const int MAXN = 1e5 + 25;
const int SZE = 450;
struct DSU {
    int sze[MAXN], par[MAXN];
    stack <array <int, 2>> ops;
    void init (int n) {
        for (int i = 1; i <= n; i++) {
            sze[i] = 1; par[i] = i;
        }
        while (!ops.empty()) ops.pop();
    }
    inline int find (int x) {
        while (par[x] != x) x = par[x];
        return x;
    }
    void merge (int x, int y) {
        x = find(x); y = find(y);
        if (x == y) return;
        if (sze[x] > sze[y]) swap(x, y);
        sze[y] += sze[x]; 
        par[x] = y;
        ops.push({x, y});
    }
    void rollback () {  
        auto g = ops.top();
        ops.pop();
        sze[g[1]] -= sze[g[0]];
        par[g[0]] = g[0];
    }
} cur;
int n, m, q; 
array <int, 3> edges[MAXN], queries[MAXN];
bool vis[MAXN];
int ans[MAXN];
int main () {
    ios::sync_with_stdio(0); cin.tie(0);    
    cin >> n >> m;
    for (int i = 1; i <= m; i++) {
        cin >> edges[i][0] >> edges[i][1] >> edges[i][2];
    }
    cin >> q;
    for (int i = 1; i <= q; i++) {
        cin >> queries[i][0] >> queries[i][1] >> queries[i][2];
    }
    for (int l = 1; l <= q; l += SZE) {
        int r = min(q, l + SZE - 1);
        cur.init(n); memset(vis, 0, sizeof(vis));
        vector <int> dd;
        vector <int> qq;
        vector <int> zz;
        for (int i = l; i <= r; i++) {
            if (queries[i][0] == 1) {
                vis[queries[i][1]] = 1;
                zz.push_back(queries[i][1]);
            } else qq.push_back(i);
        }
        for (int i = 1; i <= m; i++) {
            if (!vis[i]) {
                dd.push_back(i);
            }
        }
        vector <int> added[r - l + 1];
        for (int i = l; i <= r; i++) {
            if (queries[i][0] == 1) {
                edges[queries[i][1]][2] = queries[i][2];
            } else {
                for (auto j : zz) {
                    if (edges[j][2] >= queries[i][2]) {
                        added[i - l].push_back(j);
                    }
                }
            }
        }
        sort(qq.begin(), qq.end(), [&] (int a, int b) {
            return queries[a][2] > queries[b][2];
        });
        sort(dd.begin(), dd.end(), [&] (int a, int b) {
            return edges[a][2] < edges[b][2];
        });
        for (auto i : qq) {
            while (!dd.empty() && edges[dd.back()][2] >= queries[i][2]) {
                cur.merge(edges[dd.back()][0], edges[dd.back()][1]);
                dd.pop_back();
            }
            int z = cur.ops.size();
            for (auto j : added[i - l]) {
                cur.merge(edges[j][0], edges[j][1]);
            }
            ans[i] = cur.sze[cur.find(queries[i][1])];
            while ((int)cur.ops.size() > z) cur.rollback();
        }
    }
    for (int i = 1; i <= q; i++) {
        if (queries[i][0] == 2) cout << ans[i] << '\n';
    }
}

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 14 ms 2692 KB Output is correct
4 Correct 3 ms 2652 KB Output is correct
5 Correct 14 ms 2876 KB Output is correct
6 Correct 9 ms 2652 KB Output is correct
7 Correct 11 ms 2648 KB Output is correct
8 Correct 14 ms 2648 KB Output is correct
9 Correct 11 ms 2908 KB Output is correct
10 Correct 15 ms 2836 KB Output is correct
11 Correct 14 ms 2648 KB Output is correct
12 Correct 17 ms 2908 KB Output is correct
13 Correct 16 ms 2904 KB Output is correct
14 Correct 15 ms 2648 KB Output is correct
15 Correct 16 ms 2652 KB Output is correct
16 Correct 15 ms 2652 KB Output is correct
17 Correct 12 ms 2652 KB Output is correct

Subtask #2
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1312 ms 5376 KB Output is correct
2 Correct 1283 ms 5576 KB Output is correct
3 Correct 1269 ms 5588 KB Output is correct
4 Correct 1299 ms 5824 KB Output is correct
5 Correct 1274 ms 5656 KB Output is correct
6 Correct 1318 ms 5768 KB Output is correct
7 Correct 1326 ms 5872 KB Output is correct
8 Correct 1321 ms 5640 KB Output is correct
9 Correct 27 ms 3780 KB Output is correct
10 Correct 598 ms 5064 KB Output is correct
11 Correct 620 ms 5060 KB Output is correct
12 Correct 1210 ms 5904 KB Output is correct
13 Correct 1219 ms 5516 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 909 ms 4924 KB Output is correct
2 Correct 319 ms 4616 KB Output is correct
3 Correct 871 ms 5808 KB Output is correct
4 Correct 890 ms 6008 KB Output is correct
5 Correct 26 ms 4184 KB Output is correct
6 Correct 895 ms 5968 KB Output is correct
7 Correct 848 ms 6032 KB Output is correct
8 Correct 833 ms 5896 KB Output is correct
9 Correct 785 ms 6092 KB Output is correct
10 Correct 783 ms 5728 KB Output is correct
11 Correct 776 ms 5832 KB Output is correct
12 Correct 748 ms 5712 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 2621 ms 7048 KB Output is correct
2 Correct 25 ms 3664 KB Output is correct
3 Correct 276 ms 5332 KB Output is correct
4 Correct 104 ms 5348 KB Output is correct
5 Correct 1289 ms 6608 KB Output is correct
6 Correct 2568 ms 7096 KB Output is correct
7 Correct 1285 ms 6288 KB Output is correct
8 Correct 1186 ms 5664 KB Output is correct
9 Correct 1175 ms 5364 KB Output is correct
10 Correct 1183 ms 5516 KB Output is correct
11 Correct 1953 ms 6432 KB Output is correct
12 Correct 1884 ms 6424 KB Output is correct
13 Correct 1947 ms 6648 KB Output is correct
14 Correct 1121 ms 6540 KB Output is correct
15 Correct 1192 ms 6532 KB Output is correct
16 Correct 2652 ms 7184 KB Output is correct
17 Correct 2706 ms 7228 KB Output is correct
18 Correct 2646 ms 7080 KB Output is correct
19 Correct 2658 ms 7056 KB Output is correct
20 Correct 2273 ms 6904 KB Output is correct
21 Correct 2285 ms 6972 KB Output is correct
22 Correct 2599 ms 7228 KB Output is correct
23 Correct 1443 ms 6340 KB Output is correct

Subtask #5
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1312 ms 5376 KB Output is correct
2 Correct 1283 ms 5576 KB Output is correct
3 Correct 1269 ms 5588 KB Output is correct
4 Correct 1299 ms 5824 KB Output is correct
5 Correct 1274 ms 5656 KB Output is correct
6 Correct 1318 ms 5768 KB Output is correct
7 Correct 1326 ms 5872 KB Output is correct
8 Correct 1321 ms 5640 KB Output is correct
9 Correct 27 ms 3780 KB Output is correct
10 Correct 598 ms 5064 KB Output is correct
11 Correct 620 ms 5060 KB Output is correct
12 Correct 1210 ms 5904 KB Output is correct
13 Correct 1219 ms 5516 KB Output is correct
14 Correct 909 ms 4924 KB Output is correct
15 Correct 319 ms 4616 KB Output is correct
16 Correct 871 ms 5808 KB Output is correct
17 Correct 890 ms 6008 KB Output is correct
18 Correct 26 ms 4184 KB Output is correct
19 Correct 895 ms 5968 KB Output is correct
20 Correct 848 ms 6032 KB Output is correct
21 Correct 833 ms 5896 KB Output is correct
22 Correct 785 ms 6092 KB Output is correct
23 Correct 783 ms 5728 KB Output is correct
24 Correct 776 ms 5832 KB Output is correct
25 Correct 748 ms 5712 KB Output is correct
26 Correct 1335 ms 6704 KB Output is correct
27 Correct 1351 ms 6708 KB Output is correct
28 Correct 1346 ms 6728 KB Output is correct
29 Correct 1259 ms 6748 KB Output is correct
30 Correct 1347 ms 6712 KB Output is correct
31 Correct 1362 ms 6848 KB Output is correct
32 Correct 1581 ms 6572 KB Output is correct
33 Correct 1395 ms 6852 KB Output is correct
34 Correct 1343 ms 6736 KB Output is correct
35 Correct 1329 ms 6856 KB Output is correct
36 Correct 1265 ms 6596 KB Output is correct
37 Correct 1271 ms 6664 KB Output is correct
38 Correct 1288 ms 6964 KB Output is correct
39 Correct 1233 ms 6544 KB Output is correct
40 Correct 1205 ms 6504 KB Output is correct
41 Correct 1229 ms 6920 KB Output is correct
42 Correct 1172 ms 6640 KB Output is correct
43 Correct 1174 ms 6584 KB Output is correct
44 Correct 1184 ms 6916 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 14 ms 2692 KB Output is correct
4 Correct 3 ms 2652 KB Output is correct
5 Correct 14 ms 2876 KB Output is correct
6 Correct 9 ms 2652 KB Output is correct
7 Correct 11 ms 2648 KB Output is correct
8 Correct 14 ms 2648 KB Output is correct
9 Correct 11 ms 2908 KB Output is correct
10 Correct 15 ms 2836 KB Output is correct
11 Correct 14 ms 2648 KB Output is correct
12 Correct 17 ms 2908 KB Output is correct
13 Correct 16 ms 2904 KB Output is correct
14 Correct 15 ms 2648 KB Output is correct
15 Correct 16 ms 2652 KB Output is correct
16 Correct 15 ms 2652 KB Output is correct
17 Correct 12 ms 2652 KB Output is correct
18 Correct 1312 ms 5376 KB Output is correct
19 Correct 1283 ms 5576 KB Output is correct
20 Correct 1269 ms 5588 KB Output is correct
21 Correct 1299 ms 5824 KB Output is correct
22 Correct 1274 ms 5656 KB Output is correct
23 Correct 1318 ms 5768 KB Output is correct
24 Correct 1326 ms 5872 KB Output is correct
25 Correct 1321 ms 5640 KB Output is correct
26 Correct 27 ms 3780 KB Output is correct
27 Correct 598 ms 5064 KB Output is correct
28 Correct 620 ms 5060 KB Output is correct
29 Correct 1210 ms 5904 KB Output is correct
30 Correct 1219 ms 5516 KB Output is correct
31 Correct 909 ms 4924 KB Output is correct
32 Correct 319 ms 4616 KB Output is correct
33 Correct 871 ms 5808 KB Output is correct
34 Correct 890 ms 6008 KB Output is correct
35 Correct 26 ms 4184 KB Output is correct
36 Correct 895 ms 5968 KB Output is correct
37 Correct 848 ms 6032 KB Output is correct
38 Correct 833 ms 5896 KB Output is correct
39 Correct 785 ms 6092 KB Output is correct
40 Correct 783 ms 5728 KB Output is correct
41 Correct 776 ms 5832 KB Output is correct
42 Correct 748 ms 5712 KB Output is correct
43 Correct 2621 ms 7048 KB Output is correct
44 Correct 25 ms 3664 KB Output is correct
45 Correct 276 ms 5332 KB Output is correct
46 Correct 104 ms 5348 KB Output is correct
47 Correct 1289 ms 6608 KB Output is correct
48 Correct 2568 ms 7096 KB Output is correct
49 Correct 1285 ms 6288 KB Output is correct
50 Correct 1186 ms 5664 KB Output is correct
51 Correct 1175 ms 5364 KB Output is correct
52 Correct 1183 ms 5516 KB Output is correct
53 Correct 1953 ms 6432 KB Output is correct
54 Correct 1884 ms 6424 KB Output is correct
55 Correct 1947 ms 6648 KB Output is correct
56 Correct 1121 ms 6540 KB Output is correct
57 Correct 1192 ms 6532 KB Output is correct
58 Correct 2652 ms 7184 KB Output is correct
59 Correct 2706 ms 7228 KB Output is correct
60 Correct 2646 ms 7080 KB Output is correct
61 Correct 2658 ms 7056 KB Output is correct
62 Correct 2273 ms 6904 KB Output is correct
63 Correct 2285 ms 6972 KB Output is correct
64 Correct 2599 ms 7228 KB Output is correct
65 Correct 1443 ms 6340 KB Output is correct
66 Correct 1335 ms 6704 KB Output is correct
67 Correct 1351 ms 6708 KB Output is correct
68 Correct 1346 ms 6728 KB Output is correct
69 Correct 1259 ms 6748 KB Output is correct
70 Correct 1347 ms 6712 KB Output is correct
71 Correct 1362 ms 6848 KB Output is correct
72 Correct 1581 ms 6572 KB Output is correct
73 Correct 1395 ms 6852 KB Output is correct
74 Correct 1343 ms 6736 KB Output is correct
75 Correct 1329 ms 6856 KB Output is correct
76 Correct 1265 ms 6596 KB Output is correct
77 Correct 1271 ms 6664 KB Output is correct
78 Correct 1288 ms 6964 KB Output is correct
79 Correct 1233 ms 6544 KB Output is correct
80 Correct 1205 ms 6504 KB Output is correct
81 Correct 1229 ms 6920 KB Output is correct
82 Correct 1172 ms 6640 KB Output is correct
83 Correct 1174 ms 6584 KB Output is correct
84 Correct 1184 ms 6916 KB Output is correct
85 Correct 2769 ms 8868 KB Output is correct
86 Correct 297 ms 6284 KB Output is correct
87 Correct 111 ms 6132 KB Output is correct
88 Correct 1361 ms 7440 KB Output is correct
89 Correct 2757 ms 9028 KB Output is correct
90 Correct 1422 ms 7412 KB Output is correct
91 Correct 1340 ms 6624 KB Output is correct
92 Correct 1362 ms 6740 KB Output is correct
93 Correct 1425 ms 6704 KB Output is correct
94 Correct 2176 ms 8088 KB Output is correct
95 Correct 2118 ms 8020 KB Output is correct
96 Correct 2138 ms 7792 KB Output is correct
97 Correct 1339 ms 7412 KB Output is correct
98 Correct 1343 ms 7436 KB Output is correct
99 Correct 2834 ms 8704 KB Output is correct
100 Correct 2967 ms 8676 KB Output is correct
101 Correct 2866 ms 8764 KB Output is correct
102 Correct 2847 ms 8788 KB Output is correct
103 Correct 2390 ms 8324 KB Output is correct
104 Correct 2403 ms 8280 KB Output is correct
105 Correct 2306 ms 8024 KB Output is correct
106 Correct 2132 ms 7884 KB Output is correct
107 Correct 2355 ms 8572 KB Output is correct
108 Correct 2753 ms 8924 KB Output is correct
109 Correct 1548 ms 7060 KB Output is correct