Submission #790213

# Submission time Handle Problem Language Result Execution time Memory
790213 2023-07-22T12:10:06 Z jophyyjh Dreaming (IOI13_dreaming) C++14
100 / 100
52 ms 16236 KB
/**
 * Not too difficult~ Let P_1, P_2, ..., P_k be the connected components of the graph.
 * Clearly, every P_i is a tree.
 * [Lemma] There exists a way of connecting the edges that minimizes the resulting tree's
 *         diameter in such a way that,
 *              for a fixed i, all edges connecting P_i and another P_j (i!=j) are
 *              incident to the same node in P_i.
 * This is a greedy strategy. Greedily, we can again prove that the node in P_i has the
 * smallest f(node) := max{ dist(node, n2) : n2 is a node in P_i different from node }.
 * Next, we can view each P_i as a "super node" and consider how we shall connect them.
 * Since we have to minimize the diameter, we shall connect the super nodes to form a star
 * graph, whose diameter is at most 2. Again, we shall be greedy: the center super node in
 * our star graph should be the component with the largest f(chosen_node_in_the_comp).
 * 
 * P.S. Eccentricity (in a tree)~
 * 
 * Time Complexity: O(n * log(n))       (Optimal: O(n); O(n * log(n)) is just simpler)
 * Implementation 1                 (Full solution, greedy, tree dp)
*/

#include <bits/stdc++.h>
#include "dreaming.h"

typedef std::vector<int>    vec;
struct edge_t {
    int node, len;
};
typedef std::vector<edge_t>     adj_list_t;


std::vector<adj_list_t> trees;
vec down, down_node, down2, up;
std::vector<bool> visited;
int diameter = 0;       // diameter of the resulting graph

void dfs1(int k, int parent) {
    visited[k] = true;
    for (const edge_t& e : trees[k]) {
        int child = e.node;
        if (parent == child)
            continue;
        dfs1(child, k);
        int d = down[child] + e.len;
        if (d > down[k])
            down2[k] = down[k], down[k] = d, down_node[k] = child;
        else
            down2[k] = std::max(down2[k], d);
    }
}

int dfs2(int k, int parent) {
    int cost = std::max(up[k], down[k]);
    diameter = std::max(diameter, cost);
    for (const edge_t& e : trees[k]) {
        int child = e.node;
        if (parent == child)
            continue;
        up[child] = (down_node[k] != child ? down[k] : down2[k]) + e.len;
        up[child] = std::max(up[child], up[k] + e.len);
        cost = std::min(cost, dfs2(child, k));
    }
    return cost;
}

int travelTime(int n, int m, int L, int A[], int B[], int T[]) {
    trees.assign(n, adj_list_t());
    for (int k = 0; k < m; k++) {
        trees[A[k]].push_back(edge_t{B[k], T[k]});
        trees[B[k]].push_back(edge_t{A[k], T[k]});
    }

    visited.assign(n, false);
    down.assign(n, 0);
    down_node.resize(n);
    down2.assign(n, 0);
    up.assign(n, 0);
    vec costs;
    for (int k = 0; k < n; k++) {
        if (visited[k])
            continue;
        dfs1(k, -1);
        costs.push_back(dfs2(k, -1));
    }
    std::sort(costs.rbegin(), costs.rend());
    while (int(costs.size()) > 3)
        costs.pop_back();
    for (int i = 1; i < int(costs.size()); i++)
        costs[i] += L;
    std::sort(costs.rbegin(), costs.rend());
    diameter = std::max(diameter, costs[0] + (int(costs.size()) > 1 ? costs[1] : 0));
    return diameter;
}
# Verdict Execution time Memory Grader output
1 Correct 34 ms 10956 KB Output is correct
2 Correct 31 ms 11936 KB Output is correct
3 Correct 25 ms 9428 KB Output is correct
4 Correct 5 ms 2024 KB Output is correct
5 Correct 4 ms 1364 KB Output is correct
6 Correct 8 ms 2644 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 15 ms 4776 KB Output is correct
9 Correct 20 ms 6872 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 28 ms 8164 KB Output is correct
12 Correct 32 ms 10620 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 0 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 34 ms 10956 KB Output is correct
2 Correct 31 ms 11936 KB Output is correct
3 Correct 25 ms 9428 KB Output is correct
4 Correct 5 ms 2024 KB Output is correct
5 Correct 4 ms 1364 KB Output is correct
6 Correct 8 ms 2644 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 15 ms 4776 KB Output is correct
9 Correct 20 ms 6872 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 28 ms 8164 KB Output is correct
12 Correct 32 ms 10620 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 0 ms 212 KB Output is correct
26 Correct 1 ms 212 KB Output is correct
27 Correct 0 ms 212 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 0 ms 212 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 0 ms 212 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 0 ms 212 KB Output is correct
35 Correct 0 ms 212 KB Output is correct
36 Correct 0 ms 212 KB Output is correct
37 Correct 0 ms 212 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 30 ms 10924 KB Output is correct
40 Correct 31 ms 11892 KB Output is correct
41 Correct 22 ms 9392 KB Output is correct
42 Correct 5 ms 2004 KB Output is correct
43 Correct 1 ms 212 KB Output is correct
44 Correct 1 ms 308 KB Output is correct
45 Correct 1 ms 312 KB Output is correct
46 Correct 0 ms 212 KB Output is correct
47 Correct 0 ms 212 KB Output is correct
48 Correct 0 ms 308 KB Output is correct
49 Correct 1 ms 212 KB Output is correct
50 Correct 0 ms 304 KB Output is correct
51 Correct 1 ms 212 KB Output is correct
52 Correct 1 ms 212 KB Output is correct
53 Correct 1 ms 212 KB Output is correct
54 Correct 0 ms 212 KB Output is correct
55 Correct 0 ms 212 KB Output is correct
56 Correct 1 ms 212 KB Output is correct
57 Correct 38 ms 10700 KB Output is correct
58 Correct 38 ms 10704 KB Output is correct
59 Correct 40 ms 10616 KB Output is correct
60 Correct 40 ms 10548 KB Output is correct
61 Correct 40 ms 10760 KB Output is correct
62 Correct 38 ms 10700 KB Output is correct
63 Correct 37 ms 10324 KB Output is correct
64 Correct 37 ms 10400 KB Output is correct
65 Correct 38 ms 10588 KB Output is correct
66 Correct 38 ms 10624 KB Output is correct
67 Correct 38 ms 10584 KB Output is correct
68 Correct 38 ms 10572 KB Output is correct
69 Correct 40 ms 10828 KB Output is correct
70 Correct 40 ms 10812 KB Output is correct
71 Correct 0 ms 308 KB Output is correct
72 Correct 2 ms 596 KB Output is correct
73 Correct 1 ms 596 KB Output is correct
74 Correct 2 ms 568 KB Output is correct
75 Correct 1 ms 596 KB Output is correct
76 Correct 1 ms 596 KB Output is correct
77 Correct 2 ms 596 KB Output is correct
78 Correct 1 ms 572 KB Output is correct
79 Correct 1 ms 580 KB Output is correct
80 Correct 38 ms 10548 KB Output is correct
81 Correct 38 ms 10552 KB Output is correct
82 Correct 48 ms 10804 KB Output is correct
83 Correct 38 ms 10740 KB Output is correct
84 Correct 1 ms 468 KB Output is correct
85 Correct 1 ms 468 KB Output is correct
86 Correct 1 ms 468 KB Output is correct
87 Correct 2 ms 576 KB Output is correct
88 Correct 1 ms 468 KB Output is correct
89 Correct 1 ms 468 KB Output is correct
90 Correct 4 ms 468 KB Output is correct
91 Correct 1 ms 596 KB Output is correct
92 Correct 1 ms 596 KB Output is correct
93 Correct 1 ms 468 KB Output is correct
94 Correct 0 ms 212 KB Output is correct
95 Correct 0 ms 212 KB Output is correct
96 Correct 1 ms 212 KB Output is correct
97 Correct 0 ms 212 KB Output is correct
98 Correct 0 ms 212 KB Output is correct
99 Correct 0 ms 212 KB Output is correct
100 Correct 0 ms 212 KB Output is correct
101 Correct 1 ms 280 KB Output is correct
102 Correct 0 ms 212 KB Output is correct
103 Correct 1 ms 212 KB Output is correct
104 Correct 4 ms 1364 KB Output is correct
105 Correct 8 ms 2900 KB Output is correct
106 Correct 1 ms 300 KB Output is correct
107 Correct 15 ms 5264 KB Output is correct
108 Correct 20 ms 6840 KB Output is correct
109 Correct 1 ms 340 KB Output is correct
110 Correct 27 ms 8160 KB Output is correct
111 Correct 32 ms 10492 KB Output is correct
112 Correct 1 ms 340 KB Output is correct
113 Correct 43 ms 16236 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 14 ms 6704 KB Output is correct
2 Correct 14 ms 6836 KB Output is correct
3 Correct 14 ms 6744 KB Output is correct
4 Correct 14 ms 6848 KB Output is correct
5 Correct 17 ms 6864 KB Output is correct
6 Correct 15 ms 7384 KB Output is correct
7 Correct 15 ms 7084 KB Output is correct
8 Correct 14 ms 6740 KB Output is correct
9 Correct 14 ms 6704 KB Output is correct
10 Correct 15 ms 6976 KB Output is correct
11 Correct 0 ms 304 KB Output is correct
12 Correct 4 ms 4916 KB Output is correct
13 Correct 4 ms 4816 KB Output is correct
14 Correct 4 ms 4908 KB Output is correct
15 Correct 4 ms 4812 KB Output is correct
16 Correct 4 ms 4816 KB Output is correct
17 Correct 4 ms 4788 KB Output is correct
18 Correct 4 ms 4944 KB Output is correct
19 Correct 4 ms 4816 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 1 ms 440 KB Output is correct
23 Correct 4 ms 4816 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 0 ms 212 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 436 KB Output is correct
28 Correct 2 ms 596 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 468 KB Output is correct
31 Correct 1 ms 576 KB Output is correct
32 Correct 1 ms 316 KB Output is correct
33 Correct 1 ms 472 KB Output is correct
34 Correct 2 ms 576 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 1 ms 212 KB Output is correct
37 Correct 0 ms 212 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 0 ms 212 KB Output is correct
40 Correct 0 ms 304 KB Output is correct
41 Correct 0 ms 212 KB Output is correct
42 Correct 0 ms 212 KB Output is correct
43 Correct 0 ms 212 KB Output is correct
44 Correct 0 ms 212 KB Output is correct
45 Correct 0 ms 212 KB Output is correct
46 Correct 0 ms 212 KB Output is correct
47 Correct 1 ms 212 KB Output is correct
48 Correct 0 ms 212 KB Output is correct
49 Correct 0 ms 212 KB Output is correct
50 Correct 0 ms 212 KB Output is correct
51 Correct 0 ms 212 KB Output is correct
52 Correct 0 ms 212 KB Output is correct
53 Correct 0 ms 220 KB Output is correct
54 Correct 2 ms 596 KB Output is correct
55 Correct 1 ms 724 KB Output is correct
56 Correct 1 ms 452 KB Output is correct
57 Correct 1 ms 468 KB Output is correct
58 Correct 2 ms 584 KB Output is correct
59 Correct 2 ms 604 KB Output is correct
60 Correct 1 ms 468 KB Output is correct
61 Correct 1 ms 468 KB Output is correct
62 Correct 1 ms 600 KB Output is correct
63 Correct 2 ms 596 KB Output is correct
64 Correct 1 ms 468 KB Output is correct
65 Correct 1 ms 472 KB Output is correct
66 Correct 1 ms 596 KB Output is correct
67 Correct 1 ms 596 KB Output is correct
68 Correct 1 ms 472 KB Output is correct
69 Correct 1 ms 468 KB Output is correct
70 Correct 1 ms 472 KB Output is correct
71 Correct 1 ms 472 KB Output is correct
72 Correct 1 ms 624 KB Output is correct
73 Correct 2 ms 608 KB Output is correct
74 Correct 2 ms 608 KB Output is correct
75 Correct 2 ms 608 KB Output is correct
76 Correct 2 ms 608 KB Output is correct
77 Correct 1 ms 588 KB Output is correct
78 Correct 1 ms 480 KB Output is correct
79 Correct 1 ms 480 KB Output is correct
80 Correct 1 ms 468 KB Output is correct
81 Correct 1 ms 476 KB Output is correct
82 Correct 1 ms 596 KB Output is correct
83 Correct 1 ms 596 KB Output is correct
84 Correct 1 ms 468 KB Output is correct
85 Correct 1 ms 468 KB Output is correct
86 Correct 1 ms 468 KB Output is correct
87 Correct 2 ms 596 KB Output is correct
88 Correct 1 ms 468 KB Output is correct
89 Correct 1 ms 472 KB Output is correct
90 Correct 1 ms 468 KB Output is correct
91 Correct 1 ms 468 KB Output is correct
92 Correct 1 ms 448 KB Output is correct
93 Correct 1 ms 468 KB Output is correct
94 Correct 2 ms 468 KB Output is correct
95 Correct 1 ms 468 KB Output is correct
96 Correct 1 ms 468 KB Output is correct
97 Correct 2 ms 468 KB Output is correct
98 Correct 1 ms 572 KB Output is correct
99 Correct 2 ms 596 KB Output is correct
100 Correct 1 ms 596 KB Output is correct
101 Correct 1 ms 468 KB Output is correct
102 Correct 0 ms 212 KB Output is correct
103 Correct 1 ms 212 KB Output is correct
104 Correct 0 ms 312 KB Output is correct
105 Correct 1 ms 212 KB Output is correct
106 Correct 1 ms 212 KB Output is correct
107 Correct 0 ms 212 KB Output is correct
108 Correct 0 ms 212 KB Output is correct
109 Correct 0 ms 212 KB Output is correct
110 Correct 0 ms 212 KB Output is correct
111 Correct 1 ms 212 KB Output is correct
112 Correct 1 ms 340 KB Output is correct
113 Correct 1 ms 340 KB Output is correct
114 Correct 1 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 34 ms 10956 KB Output is correct
2 Correct 31 ms 11936 KB Output is correct
3 Correct 25 ms 9428 KB Output is correct
4 Correct 5 ms 2024 KB Output is correct
5 Correct 4 ms 1364 KB Output is correct
6 Correct 8 ms 2644 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 15 ms 4776 KB Output is correct
9 Correct 20 ms 6872 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 28 ms 8164 KB Output is correct
12 Correct 32 ms 10620 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 0 ms 212 KB Output is correct
26 Correct 1 ms 212 KB Output is correct
27 Correct 0 ms 212 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 0 ms 212 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 0 ms 212 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 0 ms 212 KB Output is correct
35 Correct 0 ms 212 KB Output is correct
36 Correct 0 ms 212 KB Output is correct
37 Correct 0 ms 212 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 30 ms 10924 KB Output is correct
40 Correct 31 ms 11892 KB Output is correct
41 Correct 22 ms 9392 KB Output is correct
42 Correct 5 ms 2004 KB Output is correct
43 Correct 1 ms 212 KB Output is correct
44 Correct 1 ms 308 KB Output is correct
45 Correct 1 ms 312 KB Output is correct
46 Correct 0 ms 212 KB Output is correct
47 Correct 0 ms 212 KB Output is correct
48 Correct 0 ms 308 KB Output is correct
49 Correct 1 ms 212 KB Output is correct
50 Correct 0 ms 304 KB Output is correct
51 Correct 1 ms 212 KB Output is correct
52 Correct 1 ms 212 KB Output is correct
53 Correct 1 ms 212 KB Output is correct
54 Correct 0 ms 212 KB Output is correct
55 Correct 0 ms 212 KB Output is correct
56 Correct 1 ms 212 KB Output is correct
57 Correct 38 ms 10700 KB Output is correct
58 Correct 38 ms 10704 KB Output is correct
59 Correct 40 ms 10616 KB Output is correct
60 Correct 40 ms 10548 KB Output is correct
61 Correct 40 ms 10760 KB Output is correct
62 Correct 38 ms 10700 KB Output is correct
63 Correct 37 ms 10324 KB Output is correct
64 Correct 37 ms 10400 KB Output is correct
65 Correct 38 ms 10588 KB Output is correct
66 Correct 38 ms 10624 KB Output is correct
67 Correct 38 ms 10584 KB Output is correct
68 Correct 38 ms 10572 KB Output is correct
69 Correct 40 ms 10828 KB Output is correct
70 Correct 40 ms 10812 KB Output is correct
71 Correct 0 ms 308 KB Output is correct
72 Correct 2 ms 596 KB Output is correct
73 Correct 1 ms 596 KB Output is correct
74 Correct 2 ms 568 KB Output is correct
75 Correct 1 ms 596 KB Output is correct
76 Correct 1 ms 596 KB Output is correct
77 Correct 2 ms 596 KB Output is correct
78 Correct 1 ms 572 KB Output is correct
79 Correct 1 ms 580 KB Output is correct
80 Correct 38 ms 10548 KB Output is correct
81 Correct 38 ms 10552 KB Output is correct
82 Correct 48 ms 10804 KB Output is correct
83 Correct 38 ms 10740 KB Output is correct
84 Correct 1 ms 468 KB Output is correct
85 Correct 1 ms 468 KB Output is correct
86 Correct 1 ms 468 KB Output is correct
87 Correct 2 ms 576 KB Output is correct
88 Correct 1 ms 468 KB Output is correct
89 Correct 1 ms 468 KB Output is correct
90 Correct 4 ms 468 KB Output is correct
91 Correct 1 ms 596 KB Output is correct
92 Correct 1 ms 596 KB Output is correct
93 Correct 1 ms 468 KB Output is correct
94 Correct 0 ms 212 KB Output is correct
95 Correct 0 ms 212 KB Output is correct
96 Correct 1 ms 212 KB Output is correct
97 Correct 0 ms 212 KB Output is correct
98 Correct 0 ms 212 KB Output is correct
99 Correct 0 ms 212 KB Output is correct
100 Correct 0 ms 212 KB Output is correct
101 Correct 1 ms 280 KB Output is correct
102 Correct 0 ms 212 KB Output is correct
103 Correct 1 ms 212 KB Output is correct
104 Correct 4 ms 1364 KB Output is correct
105 Correct 8 ms 2900 KB Output is correct
106 Correct 1 ms 300 KB Output is correct
107 Correct 15 ms 5264 KB Output is correct
108 Correct 20 ms 6840 KB Output is correct
109 Correct 1 ms 340 KB Output is correct
110 Correct 27 ms 8160 KB Output is correct
111 Correct 32 ms 10492 KB Output is correct
112 Correct 1 ms 340 KB Output is correct
113 Correct 43 ms 16236 KB Output is correct
114 Correct 14 ms 6704 KB Output is correct
115 Correct 14 ms 6836 KB Output is correct
116 Correct 14 ms 6744 KB Output is correct
117 Correct 14 ms 6848 KB Output is correct
118 Correct 17 ms 6864 KB Output is correct
119 Correct 15 ms 7384 KB Output is correct
120 Correct 15 ms 7084 KB Output is correct
121 Correct 14 ms 6740 KB Output is correct
122 Correct 14 ms 6704 KB Output is correct
123 Correct 15 ms 6976 KB Output is correct
124 Correct 0 ms 304 KB Output is correct
125 Correct 4 ms 4916 KB Output is correct
126 Correct 4 ms 4816 KB Output is correct
127 Correct 4 ms 4908 KB Output is correct
128 Correct 4 ms 4812 KB Output is correct
129 Correct 4 ms 4816 KB Output is correct
130 Correct 4 ms 4788 KB Output is correct
131 Correct 4 ms 4944 KB Output is correct
132 Correct 4 ms 4816 KB Output is correct
133 Correct 0 ms 212 KB Output is correct
134 Correct 0 ms 212 KB Output is correct
135 Correct 1 ms 440 KB Output is correct
136 Correct 4 ms 4816 KB Output is correct
137 Correct 1 ms 340 KB Output is correct
138 Correct 1 ms 436 KB Output is correct
139 Correct 2 ms 596 KB Output is correct
140 Correct 1 ms 340 KB Output is correct
141 Correct 1 ms 468 KB Output is correct
142 Correct 1 ms 576 KB Output is correct
143 Correct 1 ms 316 KB Output is correct
144 Correct 1 ms 472 KB Output is correct
145 Correct 2 ms 576 KB Output is correct
146 Correct 1 ms 212 KB Output is correct
147 Correct 1 ms 212 KB Output is correct
148 Correct 0 ms 212 KB Output is correct
149 Correct 0 ms 212 KB Output is correct
150 Correct 0 ms 212 KB Output is correct
151 Correct 0 ms 304 KB Output is correct
152 Correct 0 ms 212 KB Output is correct
153 Correct 0 ms 212 KB Output is correct
154 Correct 0 ms 212 KB Output is correct
155 Correct 0 ms 212 KB Output is correct
156 Correct 0 ms 212 KB Output is correct
157 Correct 0 ms 212 KB Output is correct
158 Correct 1 ms 212 KB Output is correct
159 Correct 0 ms 212 KB Output is correct
160 Correct 0 ms 212 KB Output is correct
161 Correct 0 ms 212 KB Output is correct
162 Correct 0 ms 212 KB Output is correct
163 Correct 0 ms 212 KB Output is correct
164 Correct 0 ms 220 KB Output is correct
165 Correct 2 ms 596 KB Output is correct
166 Correct 1 ms 724 KB Output is correct
167 Correct 1 ms 452 KB Output is correct
168 Correct 1 ms 468 KB Output is correct
169 Correct 2 ms 584 KB Output is correct
170 Correct 2 ms 604 KB Output is correct
171 Correct 1 ms 468 KB Output is correct
172 Correct 1 ms 468 KB Output is correct
173 Correct 1 ms 600 KB Output is correct
174 Correct 2 ms 596 KB Output is correct
175 Correct 1 ms 468 KB Output is correct
176 Correct 1 ms 472 KB Output is correct
177 Correct 1 ms 596 KB Output is correct
178 Correct 1 ms 596 KB Output is correct
179 Correct 1 ms 472 KB Output is correct
180 Correct 1 ms 468 KB Output is correct
181 Correct 1 ms 472 KB Output is correct
182 Correct 1 ms 472 KB Output is correct
183 Correct 1 ms 624 KB Output is correct
184 Correct 2 ms 608 KB Output is correct
185 Correct 2 ms 608 KB Output is correct
186 Correct 2 ms 608 KB Output is correct
187 Correct 2 ms 608 KB Output is correct
188 Correct 1 ms 588 KB Output is correct
189 Correct 1 ms 480 KB Output is correct
190 Correct 1 ms 480 KB Output is correct
191 Correct 1 ms 468 KB Output is correct
192 Correct 1 ms 476 KB Output is correct
193 Correct 1 ms 596 KB Output is correct
194 Correct 1 ms 596 KB Output is correct
195 Correct 1 ms 468 KB Output is correct
196 Correct 1 ms 468 KB Output is correct
197 Correct 1 ms 468 KB Output is correct
198 Correct 2 ms 596 KB Output is correct
199 Correct 1 ms 468 KB Output is correct
200 Correct 1 ms 472 KB Output is correct
201 Correct 1 ms 468 KB Output is correct
202 Correct 1 ms 468 KB Output is correct
203 Correct 1 ms 448 KB Output is correct
204 Correct 1 ms 468 KB Output is correct
205 Correct 2 ms 468 KB Output is correct
206 Correct 1 ms 468 KB Output is correct
207 Correct 1 ms 468 KB Output is correct
208 Correct 2 ms 468 KB Output is correct
209 Correct 1 ms 572 KB Output is correct
210 Correct 2 ms 596 KB Output is correct
211 Correct 1 ms 596 KB Output is correct
212 Correct 1 ms 468 KB Output is correct
213 Correct 0 ms 212 KB Output is correct
214 Correct 1 ms 212 KB Output is correct
215 Correct 0 ms 312 KB Output is correct
216 Correct 1 ms 212 KB Output is correct
217 Correct 1 ms 212 KB Output is correct
218 Correct 0 ms 212 KB Output is correct
219 Correct 0 ms 212 KB Output is correct
220 Correct 0 ms 212 KB Output is correct
221 Correct 0 ms 212 KB Output is correct
222 Correct 1 ms 212 KB Output is correct
223 Correct 1 ms 340 KB Output is correct
224 Correct 1 ms 340 KB Output is correct
225 Correct 1 ms 340 KB Output is correct
226 Correct 1 ms 340 KB Output is correct
227 Correct 1 ms 468 KB Output is correct
228 Correct 1 ms 576 KB Output is correct
229 Correct 25 ms 7924 KB Output is correct
230 Correct 34 ms 9964 KB Output is correct
231 Correct 1 ms 340 KB Output is correct
232 Correct 1 ms 468 KB Output is correct
233 Correct 1 ms 608 KB Output is correct
234 Correct 25 ms 8148 KB Output is correct
235 Correct 30 ms 10056 KB Output is correct
236 Correct 1 ms 352 KB Output is correct
237 Correct 1 ms 480 KB Output is correct
238 Correct 1 ms 608 KB Output is correct
239 Correct 28 ms 8144 KB Output is correct
240 Correct 31 ms 10188 KB Output is correct
241 Correct 17 ms 7120 KB Output is correct
242 Correct 15 ms 7116 KB Output is correct
243 Correct 14 ms 7024 KB Output is correct
244 Correct 14 ms 7128 KB Output is correct
245 Correct 19 ms 7120 KB Output is correct
246 Correct 15 ms 7648 KB Output is correct
247 Correct 16 ms 7412 KB Output is correct
248 Correct 14 ms 6948 KB Output is correct
249 Correct 14 ms 6868 KB Output is correct
250 Correct 19 ms 7356 KB Output is correct
251 Correct 0 ms 212 KB Output is correct
252 Correct 31 ms 12208 KB Output is correct
253 Correct 32 ms 11964 KB Output is correct
254 Correct 21 ms 9392 KB Output is correct
255 Correct 5 ms 1980 KB Output is correct
256 Correct 0 ms 212 KB Output is correct
257 Correct 1 ms 312 KB Output is correct
258 Correct 0 ms 212 KB Output is correct
259 Correct 1 ms 212 KB Output is correct
260 Correct 1 ms 212 KB Output is correct
261 Correct 1 ms 212 KB Output is correct
262 Correct 1 ms 212 KB Output is correct
263 Correct 1 ms 212 KB Output is correct
264 Correct 1 ms 212 KB Output is correct
265 Correct 0 ms 212 KB Output is correct
266 Correct 1 ms 212 KB Output is correct
267 Correct 1 ms 340 KB Output is correct
268 Correct 1 ms 212 KB Output is correct
269 Correct 1 ms 212 KB Output is correct
270 Correct 0 ms 224 KB Output is correct
271 Correct 1 ms 224 KB Output is correct
272 Correct 38 ms 10684 KB Output is correct
273 Correct 37 ms 10676 KB Output is correct
274 Correct 39 ms 10620 KB Output is correct
275 Correct 39 ms 10660 KB Output is correct
276 Correct 4 ms 4828 KB Output is correct
277 Correct 4 ms 4956 KB Output is correct
278 Correct 38 ms 10736 KB Output is correct
279 Correct 39 ms 10736 KB Output is correct
280 Correct 36 ms 10360 KB Output is correct
281 Correct 36 ms 10324 KB Output is correct
282 Correct 38 ms 10596 KB Output is correct
283 Correct 37 ms 10604 KB Output is correct
284 Correct 40 ms 10672 KB Output is correct
285 Correct 39 ms 10580 KB Output is correct
286 Correct 40 ms 10952 KB Output is correct
287 Correct 52 ms 10884 KB Output is correct
288 Correct 4 ms 4912 KB Output is correct
289 Correct 4 ms 4816 KB Output is correct
290 Correct 4 ms 4816 KB Output is correct
291 Correct 4 ms 4816 KB Output is correct
292 Correct 4 ms 4956 KB Output is correct
293 Correct 4 ms 4924 KB Output is correct
294 Correct 0 ms 224 KB Output is correct
295 Correct 0 ms 320 KB Output is correct
296 Correct 2 ms 596 KB Output is correct
297 Correct 1 ms 724 KB Output is correct
298 Correct 43 ms 10032 KB Output is correct
299 Correct 36 ms 9812 KB Output is correct
300 Correct 1 ms 468 KB Output is correct
301 Correct 1 ms 468 KB Output is correct
302 Correct 1 ms 596 KB Output is correct
303 Correct 1 ms 596 KB Output is correct
304 Correct 1 ms 468 KB Output is correct
305 Correct 1 ms 468 KB Output is correct
306 Correct 1 ms 596 KB Output is correct
307 Correct 2 ms 596 KB Output is correct
308 Correct 0 ms 468 KB Output is correct
309 Correct 1 ms 452 KB Output is correct
310 Correct 2 ms 600 KB Output is correct
311 Correct 1 ms 596 KB Output is correct
312 Correct 1 ms 468 KB Output is correct
313 Correct 1 ms 480 KB Output is correct
314 Correct 1 ms 444 KB Output is correct
315 Correct 1 ms 468 KB Output is correct
316 Correct 2 ms 724 KB Output is correct
317 Correct 1 ms 596 KB Output is correct
318 Correct 1 ms 596 KB Output is correct
319 Correct 1 ms 596 KB Output is correct
320 Correct 1 ms 572 KB Output is correct
321 Correct 1 ms 596 KB Output is correct
322 Correct 1 ms 444 KB Output is correct
323 Correct 1 ms 468 KB Output is correct
324 Correct 1 ms 468 KB Output is correct
325 Correct 1 ms 468 KB Output is correct
326 Correct 1 ms 576 KB Output is correct
327 Correct 1 ms 596 KB Output is correct
328 Correct 1 ms 468 KB Output is correct
329 Correct 1 ms 468 KB Output is correct
330 Correct 1 ms 468 KB Output is correct
331 Correct 1 ms 596 KB Output is correct
332 Correct 1 ms 468 KB Output is correct
333 Correct 1 ms 468 KB Output is correct
334 Correct 1 ms 468 KB Output is correct
335 Correct 1 ms 468 KB Output is correct
336 Correct 36 ms 12336 KB Output is correct
337 Correct 41 ms 14412 KB Output is correct
338 Correct 36 ms 9932 KB Output is correct
339 Correct 38 ms 10140 KB Output is correct
340 Correct 11 ms 6420 KB Output is correct
341 Correct 17 ms 7620 KB Output is correct
342 Correct 38 ms 10620 KB Output is correct
343 Correct 42 ms 10644 KB Output is correct
344 Correct 22 ms 8528 KB Output is correct
345 Correct 15 ms 7300 KB Output is correct
346 Correct 38 ms 10636 KB Output is correct
347 Correct 38 ms 10588 KB Output is correct
348 Correct 34 ms 10284 KB Output is correct
349 Correct 32 ms 9780 KB Output is correct
350 Correct 39 ms 10744 KB Output is correct
351 Correct 39 ms 10648 KB Output is correct
352 Correct 5 ms 5076 KB Output is correct
353 Correct 35 ms 9960 KB Output is correct
354 Correct 15 ms 7472 KB Output is correct
355 Correct 20 ms 7612 KB Output is correct
356 Correct 29 ms 9472 KB Output is correct
357 Correct 10 ms 5840 KB Output is correct
358 Correct 16 ms 7504 KB Output is correct
359 Correct 16 ms 7480 KB Output is correct
360 Correct 4 ms 4816 KB Output is correct
361 Correct 4 ms 4912 KB Output is correct
362 Correct 37 ms 10596 KB Output is correct
363 Correct 37 ms 10592 KB Output is correct
364 Correct 22 ms 8188 KB Output is correct
365 Correct 16 ms 7088 KB Output is correct
366 Correct 23 ms 8204 KB Output is correct
367 Correct 25 ms 8836 KB Output is correct
368 Correct 38 ms 9664 KB Output is correct
369 Correct 24 ms 8944 KB Output is correct
370 Correct 19 ms 7672 KB Output is correct
371 Correct 30 ms 9584 KB Output is correct
372 Correct 1 ms 468 KB Output is correct
373 Correct 1 ms 468 KB Output is correct
374 Correct 1 ms 448 KB Output is correct
375 Correct 1 ms 468 KB Output is correct
376 Correct 1 ms 468 KB Output is correct
377 Correct 1 ms 468 KB Output is correct
378 Correct 1 ms 468 KB Output is correct
379 Correct 1 ms 580 KB Output is correct
380 Correct 1 ms 468 KB Output is correct
381 Correct 1 ms 468 KB Output is correct
382 Correct 0 ms 212 KB Output is correct
383 Correct 0 ms 212 KB Output is correct
384 Correct 1 ms 308 KB Output is correct
385 Correct 0 ms 212 KB Output is correct
386 Correct 1 ms 212 KB Output is correct
387 Correct 0 ms 212 KB Output is correct
388 Correct 1 ms 308 KB Output is correct
389 Correct 1 ms 212 KB Output is correct
390 Correct 1 ms 212 KB Output is correct
391 Correct 0 ms 212 KB Output is correct
392 Correct 4 ms 1340 KB Output is correct
393 Correct 8 ms 2900 KB Output is correct
394 Correct 1 ms 340 KB Output is correct
395 Correct 16 ms 5428 KB Output is correct
396 Correct 20 ms 7432 KB Output is correct
397 Correct 1 ms 340 KB Output is correct
398 Correct 28 ms 9204 KB Output is correct
399 Correct 31 ms 10544 KB Output is correct
400 Correct 1 ms 340 KB Output is correct
401 Correct 44 ms 16208 KB Output is correct