oj.uz

Submission #922121

# Submission time Handle Problem Language Result Execution time Memory
922121 2024-02-05T05:58:22 Z 406 Bridges (APIO19_bridges) C++17
100 / 100
 1785 ms 106616 KB 
    #include "bits/stdc++.h"
    #define FOR(i, a, b) for (int i = (a); i < (b); i++) 
    using namespace std;
    const long long INF = 1ll << 60;
    const int N = 1e5 + 5;
     
    int dpr[N];
    vector<array<int, 3>> undo;
    int gpr(int x) { 
    	while (dpr[x] >= 0) x = dpr[x];
    	return x;
    }
    bool merge(int u, int v) {
    	u = gpr(u), v = gpr(v);
    	if (u == v) return false;
    	if (dpr[u] < dpr[v]) swap(u, v); //v is bigger now
    	undo.push_back({u, v, dpr[u]});
    	dpr[v] += dpr[u];
    	dpr[u] = v;
    	return true;
    }
    void rollback() {
    	const auto &a = undo.back();
    	dpr[a[0]] = a[2];
    	dpr[a[1]] -= a[2];
    	undo.pop_back();
    }
     
    const int SQ = 1000;
    const int SQ2 = N / SQ + 5;
    int a[N], b[N], U[N], W[N], V[N], n, m, q, ans[N];
    short t[N];
     
    void solve() {
    	//t = 1 CHANGE
    	//t = 2 SOAL
    	FOR(i, 0, SQ2) {
    		int L = i * SQ, R = min(q, (i + 1) * SQ);
    		if (L >= q) break;
     
    		memset(dpr, -1, sizeof dpr);
     
    		bitset<N> change = 0, mark = 0;
    		vector<int> Q, E, NE;
     
    		FOR(j, L, R) {
    			if (t[j] == 1) change[a[j]] = true;
    			else Q.push_back(j);
    		}
    		FOR(j, 0, m) (change[j] ? NE : E).push_back(j);
     
    		sort(E.rbegin(), E.rend(), [&](const int x, const int y) {return W[x] < W[y];});
    		sort(Q.begin(), Q.end(), [&](const int x, const int y) {return b[x] < b[y];});
     
    		for (auto qid: Q) {
    			while (E.size() && W[E.back()] <= b[qid]) {
    				merge(U[E.back()], V[E.back()]);
    				E.pop_back();
    			}
    			int cnt = 0;
    			for (int j = qid; j >= L; j--) if (t[j] == 1 && !mark[a[j]]) {
    				if (b[j] <= b[qid]) {
    					cnt += merge(U[a[j]], V[a[j]]);
    					mark[a[j]] = true;
    				}
    				mark[a[j]] = true;
    			}
    			for (auto e: NE) if (!mark[e]) {
    				mark[e] = true;
    				if (W[e] <= b[qid]) {
    					cnt += merge(U[e], V[e]);
    					mark[e] = true;
    				}
    			}
    			ans[qid] = dpr[gpr(a[qid])];
     
    			while (cnt--) rollback();
     
    			FOR(j, L, qid) mark[a[j]] = false;
    			for (auto e: NE) mark[e] = false;
    		}
    		FOR(j, L, R) if (t[j] == 1) W[a[j]] = b[j];
    	}
    	FOR(i, 0, q) if (t[i] == 2) cout << -ans[i] << '\n';
    }
     
    signed main() {
    	ios::sync_with_stdio(0), cin.tie(0);
    	cin >> n >> m;
    	FOR(i, 0, m) {
    		cin >> U[i] >> V[i] >> W[i];
    		U[i]--, V[i]--;
    		W[i] = -W[i];
    	}
    	cin >> q;
    	FOR(i, 0, q) {
    		cin >> t[i] >> a[i] >> b[i];
    		a[i]--;
    		b[i] = -b[i];
    	}
    	solve();
     
    	return 0;
    }

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 860 KB Output is correct
2 Correct 1 ms 860 KB Output is correct
3 Correct 29 ms 1264 KB Output is correct
4 Correct 17 ms 1116 KB Output is correct
5 Correct 21 ms 1116 KB Output is correct
6 Correct 18 ms 964 KB Output is correct
7 Correct 17 ms 1116 KB Output is correct
8 Correct 18 ms 1196 KB Output is correct
9 Correct 16 ms 1116 KB Output is correct
10 Correct 18 ms 1172 KB Output is correct
11 Correct 18 ms 1152 KB Output is correct
12 Correct 18 ms 1112 KB Output is correct
13 Correct 23 ms 1116 KB Output is correct
14 Correct 22 ms 1200 KB Output is correct
15 Correct 20 ms 1204 KB Output is correct
16 Correct 16 ms 1112 KB Output is correct
17 Correct 17 ms 1104 KB Output is correct

Subtask #2
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 971 ms 104396 KB Output is correct
2 Correct 976 ms 104572 KB Output is correct
3 Correct 973 ms 104496 KB Output is correct
4 Correct 1018 ms 104556 KB Output is correct
5 Correct 1022 ms 104432 KB Output is correct
6 Correct 1379 ms 104068 KB Output is correct
7 Correct 1346 ms 104216 KB Output is correct
8 Correct 1330 ms 104452 KB Output is correct
9 Correct 160 ms 3668 KB Output is correct
10 Correct 666 ms 103284 KB Output is correct
11 Correct 632 ms 103132 KB Output is correct
12 Correct 882 ms 104200 KB Output is correct
13 Correct 858 ms 104460 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 746 ms 54324 KB Output is correct
2 Correct 477 ms 16016 KB Output is correct
3 Correct 790 ms 54220 KB Output is correct
4 Correct 743 ms 54280 KB Output is correct
5 Correct 157 ms 3664 KB Output is correct
6 Correct 767 ms 54240 KB Output is correct
7 Correct 700 ms 54288 KB Output is correct
8 Correct 663 ms 54416 KB Output is correct
9 Correct 547 ms 54192 KB Output is correct
10 Correct 535 ms 54216 KB Output is correct
11 Correct 548 ms 54180 KB Output is correct
12 Correct 525 ms 54272 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1363 ms 106556 KB Output is correct
2 Correct 161 ms 3664 KB Output is correct
3 Correct 157 ms 4944 KB Output is correct
4 Correct 64 ms 5116 KB Output is correct
5 Correct 706 ms 105052 KB Output is correct
6 Correct 1425 ms 106436 KB Output is correct
7 Correct 705 ms 105044 KB Output is correct
8 Correct 690 ms 104312 KB Output is correct
9 Correct 690 ms 104372 KB Output is correct
10 Correct 689 ms 104184 KB Output is correct
11 Correct 1053 ms 105516 KB Output is correct
12 Correct 1026 ms 105524 KB Output is correct
13 Correct 1047 ms 105292 KB Output is correct
14 Correct 636 ms 105020 KB Output is correct
15 Correct 683 ms 104956 KB Output is correct
16 Correct 1384 ms 106276 KB Output is correct
17 Correct 1372 ms 106312 KB Output is correct
18 Correct 1334 ms 106392 KB Output is correct
19 Correct 1414 ms 106616 KB Output is correct
20 Correct 1143 ms 105672 KB Output is correct
21 Correct 1206 ms 105504 KB Output is correct
22 Correct 1307 ms 106076 KB Output is correct
23 Correct 804 ms 104372 KB Output is correct

Subtask #5
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 971 ms 104396 KB Output is correct
2 Correct 976 ms 104572 KB Output is correct
3 Correct 973 ms 104496 KB Output is correct
4 Correct 1018 ms 104556 KB Output is correct
5 Correct 1022 ms 104432 KB Output is correct
6 Correct 1379 ms 104068 KB Output is correct
7 Correct 1346 ms 104216 KB Output is correct
8 Correct 1330 ms 104452 KB Output is correct
9 Correct 160 ms 3668 KB Output is correct
10 Correct 666 ms 103284 KB Output is correct
11 Correct 632 ms 103132 KB Output is correct
12 Correct 882 ms 104200 KB Output is correct
13 Correct 858 ms 104460 KB Output is correct
14 Correct 746 ms 54324 KB Output is correct
15 Correct 477 ms 16016 KB Output is correct
16 Correct 790 ms 54220 KB Output is correct
17 Correct 743 ms 54280 KB Output is correct
18 Correct 157 ms 3664 KB Output is correct
19 Correct 767 ms 54240 KB Output is correct
20 Correct 700 ms 54288 KB Output is correct
21 Correct 663 ms 54416 KB Output is correct
22 Correct 547 ms 54192 KB Output is correct
23 Correct 535 ms 54216 KB Output is correct
24 Correct 548 ms 54180 KB Output is correct
25 Correct 525 ms 54272 KB Output is correct
26 Correct 1040 ms 104348 KB Output is correct
27 Correct 1116 ms 104240 KB Output is correct
28 Correct 1095 ms 104520 KB Output is correct
29 Correct 868 ms 104356 KB Output is correct
30 Correct 1122 ms 104264 KB Output is correct
31 Correct 1164 ms 104300 KB Output is correct
32 Correct 1119 ms 104788 KB Output is correct
33 Correct 1024 ms 104396 KB Output is correct
34 Correct 1012 ms 104764 KB Output is correct
35 Correct 1018 ms 104656 KB Output is correct
36 Correct 888 ms 104432 KB Output is correct
37 Correct 877 ms 104284 KB Output is correct
38 Correct 868 ms 104276 KB Output is correct
39 Correct 735 ms 104400 KB Output is correct
40 Correct 728 ms 104428 KB Output is correct
41 Correct 728 ms 104480 KB Output is correct
42 Correct 685 ms 104324 KB Output is correct
43 Correct 685 ms 104452 KB Output is correct
44 Correct 676 ms 104468 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 860 KB Output is correct
2 Correct 1 ms 860 KB Output is correct
3 Correct 29 ms 1264 KB Output is correct
4 Correct 17 ms 1116 KB Output is correct
5 Correct 21 ms 1116 KB Output is correct
6 Correct 18 ms 964 KB Output is correct
7 Correct 17 ms 1116 KB Output is correct
8 Correct 18 ms 1196 KB Output is correct
9 Correct 16 ms 1116 KB Output is correct
10 Correct 18 ms 1172 KB Output is correct
11 Correct 18 ms 1152 KB Output is correct
12 Correct 18 ms 1112 KB Output is correct
13 Correct 23 ms 1116 KB Output is correct
14 Correct 22 ms 1200 KB Output is correct
15 Correct 20 ms 1204 KB Output is correct
16 Correct 16 ms 1112 KB Output is correct
17 Correct 17 ms 1104 KB Output is correct
18 Correct 971 ms 104396 KB Output is correct
19 Correct 976 ms 104572 KB Output is correct
20 Correct 973 ms 104496 KB Output is correct
21 Correct 1018 ms 104556 KB Output is correct
22 Correct 1022 ms 104432 KB Output is correct
23 Correct 1379 ms 104068 KB Output is correct
24 Correct 1346 ms 104216 KB Output is correct
25 Correct 1330 ms 104452 KB Output is correct
26 Correct 160 ms 3668 KB Output is correct
27 Correct 666 ms 103284 KB Output is correct
28 Correct 632 ms 103132 KB Output is correct
29 Correct 882 ms 104200 KB Output is correct
30 Correct 858 ms 104460 KB Output is correct
31 Correct 746 ms 54324 KB Output is correct
32 Correct 477 ms 16016 KB Output is correct
33 Correct 790 ms 54220 KB Output is correct
34 Correct 743 ms 54280 KB Output is correct
35 Correct 157 ms 3664 KB Output is correct
36 Correct 767 ms 54240 KB Output is correct
37 Correct 700 ms 54288 KB Output is correct
38 Correct 663 ms 54416 KB Output is correct
39 Correct 547 ms 54192 KB Output is correct
40 Correct 535 ms 54216 KB Output is correct
41 Correct 548 ms 54180 KB Output is correct
42 Correct 525 ms 54272 KB Output is correct
43 Correct 1363 ms 106556 KB Output is correct
44 Correct 161 ms 3664 KB Output is correct
45 Correct 157 ms 4944 KB Output is correct
46 Correct 64 ms 5116 KB Output is correct
47 Correct 706 ms 105052 KB Output is correct
48 Correct 1425 ms 106436 KB Output is correct
49 Correct 705 ms 105044 KB Output is correct
50 Correct 690 ms 104312 KB Output is correct
51 Correct 690 ms 104372 KB Output is correct
52 Correct 689 ms 104184 KB Output is correct
53 Correct 1053 ms 105516 KB Output is correct
54 Correct 1026 ms 105524 KB Output is correct
55 Correct 1047 ms 105292 KB Output is correct
56 Correct 636 ms 105020 KB Output is correct
57 Correct 683 ms 104956 KB Output is correct
58 Correct 1384 ms 106276 KB Output is correct
59 Correct 1372 ms 106312 KB Output is correct
60 Correct 1334 ms 106392 KB Output is correct
61 Correct 1414 ms 106616 KB Output is correct
62 Correct 1143 ms 105672 KB Output is correct
63 Correct 1206 ms 105504 KB Output is correct
64 Correct 1307 ms 106076 KB Output is correct
65 Correct 804 ms 104372 KB Output is correct
66 Correct 1040 ms 104348 KB Output is correct
67 Correct 1116 ms 104240 KB Output is correct
68 Correct 1095 ms 104520 KB Output is correct
69 Correct 868 ms 104356 KB Output is correct
70 Correct 1122 ms 104264 KB Output is correct
71 Correct 1164 ms 104300 KB Output is correct
72 Correct 1119 ms 104788 KB Output is correct
73 Correct 1024 ms 104396 KB Output is correct
74 Correct 1012 ms 104764 KB Output is correct
75 Correct 1018 ms 104656 KB Output is correct
76 Correct 888 ms 104432 KB Output is correct
77 Correct 877 ms 104284 KB Output is correct
78 Correct 868 ms 104276 KB Output is correct
79 Correct 735 ms 104400 KB Output is correct
80 Correct 728 ms 104428 KB Output is correct
81 Correct 728 ms 104480 KB Output is correct
82 Correct 685 ms 104324 KB Output is correct
83 Correct 685 ms 104452 KB Output is correct
84 Correct 676 ms 104468 KB Output is correct
85 Correct 1705 ms 106436 KB Output is correct
86 Correct 160 ms 4956 KB Output is correct
87 Correct 83 ms 5096 KB Output is correct
88 Correct 958 ms 105044 KB Output is correct
89 Correct 1657 ms 106600 KB Output is correct
90 Correct 956 ms 105052 KB Output is correct
91 Correct 1039 ms 104208 KB Output is correct
92 Correct 1078 ms 104376 KB Output is correct
93 Correct 1361 ms 104180 KB Output is correct
94 Correct 1534 ms 105492 KB Output is correct
95 Correct 1470 ms 105704 KB Output is correct
96 Correct 1659 ms 105472 KB Output is correct
97 Correct 838 ms 104840 KB Output is correct
98 Correct 804 ms 105028 KB Output is correct
99 Correct 1785 ms 106488 KB Output is correct
100 Correct 1718 ms 106316 KB Output is correct
101 Correct 1717 ms 106576 KB Output is correct
102 Correct 1720 ms 106512 KB Output is correct
103 Correct 1644 ms 105564 KB Output is correct
104 Correct 1644 ms 105688 KB Output is correct
105 Correct 1312 ms 105720 KB Output is correct
106 Correct 1076 ms 105476 KB Output is correct
107 Correct 1290 ms 105584 KB Output is correct
108 Correct 1676 ms 106112 KB Output is correct
109 Correct 1103 ms 104620 KB Output is correct