Submission #173803

# Submission time Handle Problem Language Result Execution time Memory
173803 2020-01-05T12:51:03 Z davitmarg Nice sequence (IZhO18_sequence) C++17
76 / 100
2000 ms 50412 KB
/*DavitMarg*/
#include <iostream>
#include <algorithm>
#include <cmath>
#include <vector>
#include <string>
#include <cstring>
#include <map>
#include <unordered_map>
#include <set>
#include <queue>
#include <iomanip>
#include <bitset>
#include <stack>
#include <cassert>
#include <iterator>
#include <fstream>
#define mod 1000000007ll
#define LL long long
#define LD long double
#define MP make_pair
#define PB push_back
#define all(v) v.begin(), v.end()
using namespace std;

const int N = 200005;

int gcd(int a, int b)
{
    if (!a || !b)
        return a + b;
    return gcd(b, a % b);
}

LL lca(LL a, LL b)
{
    return a * b / gcd(a, b);
}

int q, n, m, k;
vector<int> t, a, used, tin;
vector<vector<int>> g;

inline void dfs(int v)
{
    used[v] = 1;
    for (int i = 0; i < g[v].size(); i++)
    {
        int to = g[v][i];
        if (used[to])
            continue;
        dfs(to);
    }
    //tin[v] = -t.size();
    t.PB(v);
}

bool check(int x)
{
    t.clear();
    a.resize(x + 2);
    used.resize(x + 2);
    //tin.resize(x + 2);
    g.resize(x + 2);
    for (int i = 0; i <= x; i++)
    {
        g[i].clear();
        used[i] = 0;
        a[i] = i;
    }

    for (int i = 0; i <= x; i++)
    {
        if (i - m >= 0)
            g[i - m].PB(i);
        if (i + n <= x)
            g[i + n].PB(i);
    }
    for (int i = 0; i <= x; i++)
        if (!used[i])
            dfs(i);
    reverse(all(t));
    //cout << "!!!!!" << x << endl;
    for (int i = 0; i < t.size(); i++)
    {
        int v = t[i];
        for (int j = 0; j < g[v].size(); j++)
        {
            int to = g[v][j];
            // if (tin[to] <= tin[v])
            //     return 0;
            //cout << v << " : " << to << endl;
            a[to] = max(a[to], a[v] + 1);
        }
    }
    return 1;
}

int main()
{
    cin >> q;
    while (q--)
    {
        k = 0;
        cin >> n >> m;
        LL l, r, mid;
        l = 0;
        r = min(lca(n, m) - 1ll, 400000ll);
        // while (l <= r)
        // {
        //     mid = (l + r) / 2;
        //     if (check(mid))
        //     {
        //         k = mid;
        //         l = mid + 1;
        //     }
        //     else
        //         r = mid - 1;
        // }
        k = n + m - gcd(n, m) - 1;
        check(k);
        cout << k << endl;
        for (int i = 1; i <= k; i++)
            printf("%d ", a[i] - a[i - 1]);
        cout << endl;
    }
    return 0;
}

/*
 
4
3 1
2 3
1 1
2 2
 
 
*/

Compilation message

sequence.cpp: In function 'void dfs(int)':
sequence.cpp:47:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (int i = 0; i < g[v].size(); i++)
                     ~~^~~~~~~~~~~~~
sequence.cpp: In function 'bool check(int)':
sequence.cpp:84:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (int i = 0; i < t.size(); i++)
                     ~~^~~~~~~~~~
sequence.cpp:87:27: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for (int j = 0; j < g[v].size(); j++)
                         ~~^~~~~~~~~~~~~
sequence.cpp: In function 'int main()':
sequence.cpp:106:12: warning: variable 'l' set but not used [-Wunused-but-set-variable]
         LL l, r, mid;
            ^
sequence.cpp:106:15: warning: variable 'r' set but not used [-Wunused-but-set-variable]
         LL l, r, mid;
               ^
sequence.cpp:106:18: warning: unused variable 'mid' [-Wunused-variable]
         LL l, r, mid;
                  ^~~
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Ok
2 Correct 2 ms 252 KB Ok
3 Correct 2 ms 376 KB Ok
4 Correct 9 ms 376 KB Ok
5 Correct 2 ms 504 KB Ok
6 Correct 2 ms 256 KB Ok
7 Correct 2 ms 376 KB Ok
8 Correct 3 ms 376 KB Ok
9 Correct 2 ms 256 KB Ok
10 Correct 2 ms 376 KB Ok
11 Correct 3 ms 256 KB Ok
12 Correct 2 ms 256 KB Ok
# Verdict Execution time Memory Grader output
1 Correct 6 ms 256 KB Ok
2 Correct 2 ms 256 KB Ok
3 Correct 2 ms 256 KB Ok
4 Correct 2 ms 256 KB Ok
5 Correct 2 ms 404 KB Ok
6 Correct 4 ms 632 KB Ok
7 Correct 13 ms 1452 KB Ok
8 Correct 7 ms 888 KB Ok
9 Correct 15 ms 1676 KB Ok
10 Correct 9 ms 1140 KB Ok
# Verdict Execution time Memory Grader output
1 Correct 2 ms 256 KB Ok
2 Correct 2 ms 376 KB Ok
3 Correct 2 ms 256 KB Ok
4 Correct 2 ms 256 KB Ok
5 Correct 2 ms 256 KB Ok
6 Correct 0 ms 376 KB Ok
7 Correct 2 ms 256 KB Ok
8 Correct 2 ms 256 KB Ok
9 Correct 2 ms 376 KB Ok
10 Correct 2 ms 256 KB Ok
11 Correct 2 ms 256 KB Ok
# Verdict Execution time Memory Grader output
1 Correct 9 ms 348 KB Ok
2 Correct 2 ms 376 KB Ok
3 Correct 2 ms 256 KB Ok
4 Correct 2 ms 256 KB Ok
5 Correct 2 ms 256 KB Ok
6 Correct 143 ms 17084 KB Ok
7 Correct 117 ms 18820 KB Ok
8 Correct 205 ms 20596 KB Ok
9 Correct 184 ms 18012 KB Ok
10 Correct 106 ms 12244 KB Ok
11 Correct 166 ms 20724 KB Ok
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Ok
2 Correct 2 ms 252 KB Ok
3 Correct 2 ms 376 KB Ok
4 Correct 9 ms 376 KB Ok
5 Correct 2 ms 504 KB Ok
6 Correct 2 ms 256 KB Ok
7 Correct 2 ms 376 KB Ok
8 Correct 3 ms 376 KB Ok
9 Correct 2 ms 256 KB Ok
10 Correct 2 ms 376 KB Ok
11 Correct 3 ms 256 KB Ok
12 Correct 2 ms 256 KB Ok
13 Correct 2 ms 256 KB Ok
14 Correct 2 ms 376 KB Ok
15 Correct 2 ms 256 KB Ok
16 Correct 2 ms 256 KB Ok
17 Correct 2 ms 256 KB Ok
18 Correct 0 ms 376 KB Ok
19 Correct 2 ms 256 KB Ok
20 Correct 2 ms 256 KB Ok
21 Correct 2 ms 376 KB Ok
22 Correct 2 ms 256 KB Ok
23 Correct 2 ms 256 KB Ok
24 Correct 4 ms 504 KB Ok
25 Correct 6 ms 632 KB Ok
26 Correct 5 ms 632 KB Ok
27 Correct 4 ms 632 KB Ok
28 Correct 9 ms 504 KB Ok
29 Correct 4 ms 632 KB Ok
30 Correct 4 ms 504 KB Ok
31 Correct 4 ms 504 KB Ok
32 Correct 5 ms 632 KB Ok
33 Correct 4 ms 632 KB Ok
34 Correct 7 ms 888 KB Ok
35 Correct 7 ms 760 KB Ok
36 Correct 8 ms 888 KB Ok
37 Correct 8 ms 888 KB Ok
38 Correct 8 ms 888 KB Ok
39 Correct 9 ms 760 KB Ok
40 Correct 9 ms 888 KB Ok
41 Correct 9 ms 760 KB Ok
42 Correct 5 ms 760 KB Ok
43 Correct 8 ms 892 KB Ok
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Ok
2 Correct 2 ms 252 KB Ok
3 Correct 2 ms 376 KB Ok
4 Correct 9 ms 376 KB Ok
5 Correct 2 ms 504 KB Ok
6 Correct 2 ms 256 KB Ok
7 Correct 2 ms 376 KB Ok
8 Correct 3 ms 376 KB Ok
9 Correct 2 ms 256 KB Ok
10 Correct 2 ms 376 KB Ok
11 Correct 3 ms 256 KB Ok
12 Correct 2 ms 256 KB Ok
13 Correct 6 ms 256 KB Ok
14 Correct 2 ms 256 KB Ok
15 Correct 2 ms 256 KB Ok
16 Correct 2 ms 256 KB Ok
17 Correct 2 ms 404 KB Ok
18 Correct 4 ms 632 KB Ok
19 Correct 13 ms 1452 KB Ok
20 Correct 7 ms 888 KB Ok
21 Correct 15 ms 1676 KB Ok
22 Correct 9 ms 1140 KB Ok
23 Correct 2 ms 256 KB Ok
24 Correct 2 ms 376 KB Ok
25 Correct 2 ms 256 KB Ok
26 Correct 2 ms 256 KB Ok
27 Correct 2 ms 256 KB Ok
28 Correct 0 ms 376 KB Ok
29 Correct 2 ms 256 KB Ok
30 Correct 2 ms 256 KB Ok
31 Correct 2 ms 376 KB Ok
32 Correct 2 ms 256 KB Ok
33 Correct 2 ms 256 KB Ok
34 Correct 4 ms 504 KB Ok
35 Correct 6 ms 632 KB Ok
36 Correct 5 ms 632 KB Ok
37 Correct 4 ms 632 KB Ok
38 Correct 9 ms 504 KB Ok
39 Correct 4 ms 632 KB Ok
40 Correct 4 ms 504 KB Ok
41 Correct 4 ms 504 KB Ok
42 Correct 5 ms 632 KB Ok
43 Correct 4 ms 632 KB Ok
44 Correct 7 ms 888 KB Ok
45 Correct 7 ms 760 KB Ok
46 Correct 8 ms 888 KB Ok
47 Correct 8 ms 888 KB Ok
48 Correct 8 ms 888 KB Ok
49 Correct 9 ms 760 KB Ok
50 Correct 9 ms 888 KB Ok
51 Correct 9 ms 760 KB Ok
52 Correct 5 ms 760 KB Ok
53 Correct 8 ms 892 KB Ok
54 Correct 102 ms 8680 KB Ok
55 Correct 108 ms 8036 KB Ok
56 Correct 105 ms 8172 KB Ok
57 Correct 82 ms 7408 KB Ok
58 Correct 105 ms 8592 KB Ok
59 Correct 106 ms 7412 KB Ok
60 Correct 92 ms 7148 KB Ok
61 Correct 86 ms 8060 KB Ok
62 Correct 122 ms 8016 KB Ok
63 Correct 94 ms 7252 KB Ok
64 Correct 111 ms 7924 KB Ok
65 Correct 124 ms 8180 KB Ok
66 Correct 91 ms 7640 KB Ok
67 Correct 104 ms 7836 KB Ok
68 Correct 132 ms 7820 KB Ok
69 Correct 388 ms 14276 KB Ok
70 Correct 326 ms 15328 KB Ok
71 Correct 268 ms 12600 KB Ok
72 Correct 307 ms 14648 KB Ok
73 Correct 592 ms 12988 KB Ok
74 Correct 271 ms 12476 KB Ok
75 Correct 440 ms 12776 KB Ok
76 Correct 273 ms 15112 KB Ok
77 Correct 253 ms 11976 KB Ok
78 Correct 271 ms 15168 KB Ok
79 Correct 298 ms 13972 KB Ok
80 Correct 273 ms 13368 KB Ok
81 Correct 526 ms 14580 KB Ok
82 Correct 333 ms 13712 KB Ok
83 Correct 245 ms 13112 KB Ok
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Ok
2 Correct 2 ms 252 KB Ok
3 Correct 2 ms 376 KB Ok
4 Correct 9 ms 376 KB Ok
5 Correct 2 ms 504 KB Ok
6 Correct 2 ms 256 KB Ok
7 Correct 2 ms 376 KB Ok
8 Correct 3 ms 376 KB Ok
9 Correct 2 ms 256 KB Ok
10 Correct 2 ms 376 KB Ok
11 Correct 3 ms 256 KB Ok
12 Correct 2 ms 256 KB Ok
13 Correct 6 ms 256 KB Ok
14 Correct 2 ms 256 KB Ok
15 Correct 2 ms 256 KB Ok
16 Correct 2 ms 256 KB Ok
17 Correct 2 ms 404 KB Ok
18 Correct 4 ms 632 KB Ok
19 Correct 13 ms 1452 KB Ok
20 Correct 7 ms 888 KB Ok
21 Correct 15 ms 1676 KB Ok
22 Correct 9 ms 1140 KB Ok
23 Correct 2 ms 256 KB Ok
24 Correct 2 ms 376 KB Ok
25 Correct 2 ms 256 KB Ok
26 Correct 2 ms 256 KB Ok
27 Correct 2 ms 256 KB Ok
28 Correct 0 ms 376 KB Ok
29 Correct 2 ms 256 KB Ok
30 Correct 2 ms 256 KB Ok
31 Correct 2 ms 376 KB Ok
32 Correct 2 ms 256 KB Ok
33 Correct 2 ms 256 KB Ok
34 Correct 9 ms 348 KB Ok
35 Correct 2 ms 376 KB Ok
36 Correct 2 ms 256 KB Ok
37 Correct 2 ms 256 KB Ok
38 Correct 2 ms 256 KB Ok
39 Correct 143 ms 17084 KB Ok
40 Correct 117 ms 18820 KB Ok
41 Correct 205 ms 20596 KB Ok
42 Correct 184 ms 18012 KB Ok
43 Correct 106 ms 12244 KB Ok
44 Correct 166 ms 20724 KB Ok
45 Correct 4 ms 504 KB Ok
46 Correct 6 ms 632 KB Ok
47 Correct 5 ms 632 KB Ok
48 Correct 4 ms 632 KB Ok
49 Correct 9 ms 504 KB Ok
50 Correct 4 ms 632 KB Ok
51 Correct 4 ms 504 KB Ok
52 Correct 4 ms 504 KB Ok
53 Correct 5 ms 632 KB Ok
54 Correct 4 ms 632 KB Ok
55 Correct 7 ms 888 KB Ok
56 Correct 7 ms 760 KB Ok
57 Correct 8 ms 888 KB Ok
58 Correct 8 ms 888 KB Ok
59 Correct 8 ms 888 KB Ok
60 Correct 9 ms 760 KB Ok
61 Correct 9 ms 888 KB Ok
62 Correct 9 ms 760 KB Ok
63 Correct 5 ms 760 KB Ok
64 Correct 8 ms 892 KB Ok
65 Correct 102 ms 8680 KB Ok
66 Correct 108 ms 8036 KB Ok
67 Correct 105 ms 8172 KB Ok
68 Correct 82 ms 7408 KB Ok
69 Correct 105 ms 8592 KB Ok
70 Correct 106 ms 7412 KB Ok
71 Correct 92 ms 7148 KB Ok
72 Correct 86 ms 8060 KB Ok
73 Correct 122 ms 8016 KB Ok
74 Correct 94 ms 7252 KB Ok
75 Correct 111 ms 7924 KB Ok
76 Correct 124 ms 8180 KB Ok
77 Correct 91 ms 7640 KB Ok
78 Correct 104 ms 7836 KB Ok
79 Correct 132 ms 7820 KB Ok
80 Correct 388 ms 14276 KB Ok
81 Correct 326 ms 15328 KB Ok
82 Correct 268 ms 12600 KB Ok
83 Correct 307 ms 14648 KB Ok
84 Correct 592 ms 12988 KB Ok
85 Correct 271 ms 12476 KB Ok
86 Correct 440 ms 12776 KB Ok
87 Correct 273 ms 15112 KB Ok
88 Correct 253 ms 11976 KB Ok
89 Correct 271 ms 15168 KB Ok
90 Correct 298 ms 13972 KB Ok
91 Correct 273 ms 13368 KB Ok
92 Correct 526 ms 14580 KB Ok
93 Correct 333 ms 13712 KB Ok
94 Correct 245 ms 13112 KB Ok
95 Correct 304 ms 19744 KB Ok
96 Correct 486 ms 29036 KB Ok
97 Correct 439 ms 23784 KB Ok
98 Correct 310 ms 24508 KB Ok
99 Correct 318 ms 23484 KB Ok
100 Correct 383 ms 22876 KB Ok
101 Correct 329 ms 27068 KB Ok
102 Correct 482 ms 26420 KB Ok
103 Correct 378 ms 29204 KB Ok
104 Correct 427 ms 32900 KB Ok
105 Correct 466 ms 34208 KB Ok
106 Correct 374 ms 28708 KB Ok
107 Correct 417 ms 27372 KB Ok
108 Correct 497 ms 34316 KB Ok
109 Correct 434 ms 30060 KB Ok
110 Execution timed out 2076 ms 50412 KB Time limit exceeded
111 Halted 0 ms 0 KB -