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Submission #448374

# Submission time Handle Problem Language Result Execution time Memory
448374 2021-07-29T22:50:29 Z SirCovidThe19th Bridges (APIO19_bridges) C++14
100 / 100
 2326 ms 11224 KB 
#include <bits/stdc++.h>
using namespace std; 

#define pb push_back

const int mx = 1e5+5, sq = 999;

struct trip{ int f, s, t; };
struct UF{
    int par[mx], sz[mx]; vector<int> ops;
    UF(){ iota(par, par+mx, 0); fill(sz, sz+mx, 1); }
    int get(int i){ return par[i] == i ? i : get(par[i]); }
    void mg(int a, int b){
        a = get(a); b = get(b); 
        if (a == b){ return; } if (sz[a] > sz[b]){ swap(a, b); }
        ops.pb(a); par[a] = b; sz[b] += sz[a];
    }void rollBack(int x){
        while (ops.size() > x){
            int curr = ops.back(); ops.pop_back();
            sz[par[curr]] -= sz[curr]; par[curr] = curr;
        }
    }
};

int n, m, q, A[mx], B[mx], W[mx], T[sq], X[sq], Y[sq]; vector<int> edg[sq]; bool ch[mx];

void solve(int lim){
    vector<int> ask, upd, noch; int p = 0, res[lim]; UF dsu = UF();

    for (int i = 0; i < lim; i++){
        cin >> T[i] >> X[i] >> Y[i];
        if (T[i] == 1) ch[X[i]] = 1, upd.pb(i);
        else ask.pb(i);
    }
    for (int i = 1; i <= m; i++){
        if (!ch[i]) noch.pb(i);
        else ch[i] = 0;
    }

    sort(noch.begin(), noch.end(), [&](int a, int b){ return W[a] > W[b]; });
    sort(ask.begin(), ask.end(), [&](int a, int b){ return Y[a] > Y[b]; });
    
    for (int i = 0; i < lim; i++){
        if (T[i] == 1) W[X[i]] = Y[i];
        else{
            edg[i].clear(); 
            for (int j : upd) if (W[X[j]] >= Y[i]) edg[i].push_back(X[j]);
        }
    }
    for (int i : ask){
        while (p < noch.size() and W[noch[p]] >= Y[i]) dsu.mg(A[noch[p]], B[noch[p]]), p++;
        int prevS = dsu.ops.size();
        for (int j : edg[i]) dsu.mg(A[j], B[j]);
        res[i] = dsu.sz[dsu.get(X[i])];
        dsu.rollBack(prevS);
    }
    for (int i = 0; i < lim; i++) if (T[i] == 2) cout<<res[i]<<endl;
}

int main(){
    ios_base::sync_with_stdio(0); cin.tie(0); 
    cin >> n >> m;
    for (int i = 1; i <= m; i++) cin >> A[i] >> B[i] >> W[i];
    cin >> q; 
    for (int i = 0; i < q; i += sq) solve(min(sq, q-i));
}

Compilation message

bridges.cpp: In member function 'void UF::rollBack(int)':
bridges.cpp:18:27: warning: comparison of integer expressions of different signedness: 'std::vector<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   18 |         while (ops.size() > x){
      |                ~~~~~~~~~~~^~~
bridges.cpp: In function 'void solve(int)':
bridges.cpp:51:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   51 |         while (p < noch.size() and W[noch[p]] >= Y[i]) dsu.mg(A[noch[p]], B[noch[p]]), p++;
      |                ~~^~~~~~~~~~~~~

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1100 KB Output is correct
2 Correct 1 ms 1100 KB Output is correct
3 Correct 43 ms 3300 KB Output is correct
4 Correct 30 ms 1156 KB Output is correct
5 Correct 46 ms 3504 KB Output is correct
6 Correct 34 ms 3116 KB Output is correct
7 Correct 40 ms 4208 KB Output is correct
8 Correct 46 ms 3200 KB Output is correct
9 Correct 46 ms 4372 KB Output is correct
10 Correct 47 ms 3408 KB Output is correct
11 Correct 47 ms 3140 KB Output is correct
12 Correct 55 ms 3564 KB Output is correct
13 Correct 53 ms 3372 KB Output is correct
14 Correct 50 ms 3268 KB Output is correct
15 Correct 55 ms 3304 KB Output is correct
16 Correct 47 ms 4460 KB Output is correct
17 Correct 48 ms 3996 KB Output is correct

Subtask #2
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1524 ms 5560 KB Output is correct
2 Correct 1537 ms 5596 KB Output is correct
3 Correct 1511 ms 5416 KB Output is correct
4 Correct 1570 ms 5380 KB Output is correct
5 Correct 1585 ms 5740 KB Output is correct
6 Correct 2228 ms 6884 KB Output is correct
7 Correct 2234 ms 6888 KB Output is correct
8 Correct 2248 ms 7124 KB Output is correct
9 Correct 202 ms 1256 KB Output is correct
10 Correct 1280 ms 7252 KB Output is correct
11 Correct 1195 ms 7288 KB Output is correct
12 Correct 1428 ms 3460 KB Output is correct
13 Correct 1327 ms 6776 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1250 ms 4948 KB Output is correct
2 Correct 941 ms 5832 KB Output is correct
3 Correct 1438 ms 6824 KB Output is correct
4 Correct 1214 ms 4860 KB Output is correct
5 Correct 202 ms 1220 KB Output is correct
6 Correct 1378 ms 5492 KB Output is correct
7 Correct 1138 ms 4704 KB Output is correct
8 Correct 1002 ms 4576 KB Output is correct
9 Correct 902 ms 3056 KB Output is correct
10 Correct 827 ms 2768 KB Output is correct
11 Correct 833 ms 6192 KB Output is correct
12 Correct 738 ms 6292 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1812 ms 3992 KB Output is correct
2 Correct 203 ms 1288 KB Output is correct
3 Correct 203 ms 3376 KB Output is correct
4 Correct 109 ms 3224 KB Output is correct
5 Correct 1004 ms 3764 KB Output is correct
6 Correct 1785 ms 3816 KB Output is correct
7 Correct 998 ms 4024 KB Output is correct
8 Correct 987 ms 2816 KB Output is correct
9 Correct 987 ms 2928 KB Output is correct
10 Correct 994 ms 2940 KB Output is correct
11 Correct 1401 ms 3088 KB Output is correct
12 Correct 1393 ms 3348 KB Output is correct
13 Correct 1410 ms 3444 KB Output is correct
14 Correct 908 ms 3888 KB Output is correct
15 Correct 955 ms 3740 KB Output is correct
16 Correct 1819 ms 3932 KB Output is correct
17 Correct 1813 ms 3964 KB Output is correct
18 Correct 1830 ms 3952 KB Output is correct
19 Correct 1881 ms 3588 KB Output is correct
20 Correct 1569 ms 3760 KB Output is correct
21 Correct 1557 ms 3780 KB Output is correct
22 Correct 1762 ms 3776 KB Output is correct
23 Correct 1092 ms 3476 KB Output is correct

Subtask #5
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1524 ms 5560 KB Output is correct
2 Correct 1537 ms 5596 KB Output is correct
3 Correct 1511 ms 5416 KB Output is correct
4 Correct 1570 ms 5380 KB Output is correct
5 Correct 1585 ms 5740 KB Output is correct
6 Correct 2228 ms 6884 KB Output is correct
7 Correct 2234 ms 6888 KB Output is correct
8 Correct 2248 ms 7124 KB Output is correct
9 Correct 202 ms 1256 KB Output is correct
10 Correct 1280 ms 7252 KB Output is correct
11 Correct 1195 ms 7288 KB Output is correct
12 Correct 1428 ms 3460 KB Output is correct
13 Correct 1327 ms 6776 KB Output is correct
14 Correct 1250 ms 4948 KB Output is correct
15 Correct 941 ms 5832 KB Output is correct
16 Correct 1438 ms 6824 KB Output is correct
17 Correct 1214 ms 4860 KB Output is correct
18 Correct 202 ms 1220 KB Output is correct
19 Correct 1378 ms 5492 KB Output is correct
20 Correct 1138 ms 4704 KB Output is correct
21 Correct 1002 ms 4576 KB Output is correct
22 Correct 902 ms 3056 KB Output is correct
23 Correct 827 ms 2768 KB Output is correct
24 Correct 833 ms 6192 KB Output is correct
25 Correct 738 ms 6292 KB Output is correct
26 Correct 1644 ms 5600 KB Output is correct
27 Correct 1928 ms 7120 KB Output is correct
28 Correct 1635 ms 5620 KB Output is correct
29 Correct 1189 ms 5032 KB Output is correct
30 Correct 1875 ms 6960 KB Output is correct
31 Correct 1880 ms 7372 KB Output is correct
32 Correct 1895 ms 7256 KB Output is correct
33 Correct 1626 ms 5396 KB Output is correct
34 Correct 1612 ms 5488 KB Output is correct
35 Correct 1655 ms 5700 KB Output is correct
36 Correct 1245 ms 5300 KB Output is correct
37 Correct 1260 ms 5196 KB Output is correct
38 Correct 1225 ms 5156 KB Output is correct
39 Correct 1096 ms 3416 KB Output is correct
40 Correct 1091 ms 3224 KB Output is correct
41 Correct 1091 ms 3404 KB Output is correct
42 Correct 976 ms 6480 KB Output is correct
43 Correct 982 ms 6296 KB Output is correct
44 Correct 970 ms 6148 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1100 KB Output is correct
2 Correct 1 ms 1100 KB Output is correct
3 Correct 43 ms 3300 KB Output is correct
4 Correct 30 ms 1156 KB Output is correct
5 Correct 46 ms 3504 KB Output is correct
6 Correct 34 ms 3116 KB Output is correct
7 Correct 40 ms 4208 KB Output is correct
8 Correct 46 ms 3200 KB Output is correct
9 Correct 46 ms 4372 KB Output is correct
10 Correct 47 ms 3408 KB Output is correct
11 Correct 47 ms 3140 KB Output is correct
12 Correct 55 ms 3564 KB Output is correct
13 Correct 53 ms 3372 KB Output is correct
14 Correct 50 ms 3268 KB Output is correct
15 Correct 55 ms 3304 KB Output is correct
16 Correct 47 ms 4460 KB Output is correct
17 Correct 48 ms 3996 KB Output is correct
18 Correct 1524 ms 5560 KB Output is correct
19 Correct 1537 ms 5596 KB Output is correct
20 Correct 1511 ms 5416 KB Output is correct
21 Correct 1570 ms 5380 KB Output is correct
22 Correct 1585 ms 5740 KB Output is correct
23 Correct 2228 ms 6884 KB Output is correct
24 Correct 2234 ms 6888 KB Output is correct
25 Correct 2248 ms 7124 KB Output is correct
26 Correct 202 ms 1256 KB Output is correct
27 Correct 1280 ms 7252 KB Output is correct
28 Correct 1195 ms 7288 KB Output is correct
29 Correct 1428 ms 3460 KB Output is correct
30 Correct 1327 ms 6776 KB Output is correct
31 Correct 1250 ms 4948 KB Output is correct
32 Correct 941 ms 5832 KB Output is correct
33 Correct 1438 ms 6824 KB Output is correct
34 Correct 1214 ms 4860 KB Output is correct
35 Correct 202 ms 1220 KB Output is correct
36 Correct 1378 ms 5492 KB Output is correct
37 Correct 1138 ms 4704 KB Output is correct
38 Correct 1002 ms 4576 KB Output is correct
39 Correct 902 ms 3056 KB Output is correct
40 Correct 827 ms 2768 KB Output is correct
41 Correct 833 ms 6192 KB Output is correct
42 Correct 738 ms 6292 KB Output is correct
43 Correct 1812 ms 3992 KB Output is correct
44 Correct 203 ms 1288 KB Output is correct
45 Correct 203 ms 3376 KB Output is correct
46 Correct 109 ms 3224 KB Output is correct
47 Correct 1004 ms 3764 KB Output is correct
48 Correct 1785 ms 3816 KB Output is correct
49 Correct 998 ms 4024 KB Output is correct
50 Correct 987 ms 2816 KB Output is correct
51 Correct 987 ms 2928 KB Output is correct
52 Correct 994 ms 2940 KB Output is correct
53 Correct 1401 ms 3088 KB Output is correct
54 Correct 1393 ms 3348 KB Output is correct
55 Correct 1410 ms 3444 KB Output is correct
56 Correct 908 ms 3888 KB Output is correct
57 Correct 955 ms 3740 KB Output is correct
58 Correct 1819 ms 3932 KB Output is correct
59 Correct 1813 ms 3964 KB Output is correct
60 Correct 1830 ms 3952 KB Output is correct
61 Correct 1881 ms 3588 KB Output is correct
62 Correct 1569 ms 3760 KB Output is correct
63 Correct 1557 ms 3780 KB Output is correct
64 Correct 1762 ms 3776 KB Output is correct
65 Correct 1092 ms 3476 KB Output is correct
66 Correct 1644 ms 5600 KB Output is correct
67 Correct 1928 ms 7120 KB Output is correct
68 Correct 1635 ms 5620 KB Output is correct
69 Correct 1189 ms 5032 KB Output is correct
70 Correct 1875 ms 6960 KB Output is correct
71 Correct 1880 ms 7372 KB Output is correct
72 Correct 1895 ms 7256 KB Output is correct
73 Correct 1626 ms 5396 KB Output is correct
74 Correct 1612 ms 5488 KB Output is correct
75 Correct 1655 ms 5700 KB Output is correct
76 Correct 1245 ms 5300 KB Output is correct
77 Correct 1260 ms 5196 KB Output is correct
78 Correct 1225 ms 5156 KB Output is correct
79 Correct 1096 ms 3416 KB Output is correct
80 Correct 1091 ms 3224 KB Output is correct
81 Correct 1091 ms 3404 KB Output is correct
82 Correct 976 ms 6480 KB Output is correct
83 Correct 982 ms 6296 KB Output is correct
84 Correct 970 ms 6148 KB Output is correct
85 Correct 2217 ms 10352 KB Output is correct
86 Correct 229 ms 7220 KB Output is correct
87 Correct 134 ms 8472 KB Output is correct
88 Correct 1335 ms 10320 KB Output is correct
89 Correct 2177 ms 10480 KB Output is correct
90 Correct 1337 ms 10256 KB Output is correct
91 Correct 1657 ms 8392 KB Output is correct
92 Correct 1650 ms 8268 KB Output is correct
93 Correct 2326 ms 9652 KB Output is correct
94 Correct 1866 ms 9232 KB Output is correct
95 Correct 1881 ms 9320 KB Output is correct
96 Correct 2116 ms 10756 KB Output is correct
97 Correct 1128 ms 6620 KB Output is correct
98 Correct 1056 ms 10396 KB Output is correct
99 Correct 2208 ms 10608 KB Output is correct
100 Correct 2188 ms 10384 KB Output is correct
101 Correct 2255 ms 10468 KB Output is correct
102 Correct 2235 ms 10312 KB Output is correct
103 Correct 2302 ms 10824 KB Output is correct
104 Correct 2322 ms 11224 KB Output is correct
105 Correct 1760 ms 10700 KB Output is correct
106 Correct 1435 ms 10372 KB Output is correct
107 Correct 1779 ms 7548 KB Output is correct
108 Correct 2239 ms 10540 KB Output is correct
109 Correct 1580 ms 10032 KB Output is correct