Submission #91969

# Submission time Handle Problem Language Result Execution time Memory
91969 2018-12-31T16:59:09 Z popovicirobert Nice sequence (IZhO18_sequence) C++14
100 / 100
1223 ms 57896 KB
#include <bits/stdc++.h>
#define lsb(x) (x & (-x))
#define ll long long
#define ull unsigned long long
#define ld long double
// 217
// 44

using namespace std;

const int INF = 5e8;
const int MAXN = (int) 2e5;

int n, m;
char vis[2 * MAXN + 1];

void dfs(int nod, bool &ok, int len) {
    vis[nod] = 1;
    if(nod + n <= len) {
        if(vis[nod + n] == 0) {
            dfs(nod + n, ok, len);
        }
        else if(vis[nod + n] == 1) {
            ok = 0;
        }
    }
    if(ok && nod - m >= 0) {
        if(vis[nod - m] == 0) {
            dfs(nod - m, ok, len);
        }
        else if(vis[nod - m] == 1) {
            ok = 0;
        }
    }
    vis[nod] = 2;
}

inline bool check(int len) {
    int i;
    for(i = 0; i <= len; i++) {
        vis[i] = 0;
    }
    bool ok = 1;
    for(i = 0; i <= len && ok; i++) {
        if(vis[i] == 0) {
            dfs(i, ok, len);
        }
    }
    return ok;
}

inline int get() {
    int res = 0;
    for(int step = 1 << 18; step; step >>= 1) {
        if(res + step <= n + m && check(res + step)) {
            res += step;
        }
    }
    return res;
}

vector <int> ord;
int sp[2 * MAXN + 1];

void dfs1(int nod, int sz) {
    vis[nod] = 1;
    if(nod + n <= sz && vis[nod + n] == 0) {
        dfs1(nod + n, sz);
    }
    if(nod - m >= 0 && vis[nod - m] == 0) {
        dfs1(nod - m, sz);
    }
    ord.push_back(nod);
}

inline void solve(int sz) {
    int i;
    for(i = 0; i <= sz; i++) {
        vis[i] = 0;
    }
    ord.clear();
    for(i = 0; i <= sz; i++) {
        if(vis[i] == 0) {
            dfs1(i, sz);
        }
    }
    int val = -INF;
    for(auto it : ord) {
        if(it == 0) {
            val = max(val, 0);
            sp[it] = 0;
            val++;
            continue;
        }
        if(it + n <= sz) {
            val = max(val, sp[it + n] + 1);
        }
        if(it - m >= 0) {
            val = max(val, sp[it - m]);
        }
        sp[it] = val;
        val++;
    }
}

int main() {
    //ifstream cin("A.in");
    //ofstream cout("A.out");
    int t, i, j;
    ios::sync_with_stdio(false);
    cin.tie(0), cout.tie(0);
    cin >> t;
    while(t > 0) {
        t--;
        cin >> n >> m;
        int mn = min(n, m), mx = max(n, m);
        if(mx % mn == 0) {
            cout << mx - 1 << "\n";
            int sign = 1;
            if(mn == n) {
                sign = -1;
            }
            for(i = 1; i < mx; i++) {
                cout << sign << " ";
            }
            if(mx > 1) {
                cout << "\n";
            }
            continue;
        }
        int sz = get();
        solve(sz);
        cout << sz << "\n";
        for(i = 1; i <= sz; i++) {
            cout << sp[i] - sp[i - 1] << " ";
        }
        cout << "\n";
    }
    //cin.close();
    //cout.close();
    return 0;
}

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:109:15: warning: unused variable 'j' [-Wunused-variable]
     int t, i, j;
               ^
# Verdict Execution time Memory Grader output
1 Correct 14 ms 376 KB Ok
2 Correct 2 ms 376 KB Ok
3 Correct 2 ms 376 KB Ok
4 Correct 2 ms 376 KB Ok
5 Correct 2 ms 376 KB Ok
6 Correct 2 ms 376 KB Ok
7 Correct 2 ms 376 KB Ok
8 Correct 2 ms 376 KB Ok
9 Correct 2 ms 376 KB Ok
10 Correct 2 ms 376 KB Ok
11 Correct 2 ms 376 KB Ok
12 Correct 2 ms 376 KB Ok
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Ok
2 Correct 2 ms 376 KB Ok
3 Correct 2 ms 376 KB Ok
4 Correct 2 ms 380 KB Ok
5 Correct 2 ms 376 KB Ok
6 Correct 3 ms 632 KB Ok
7 Correct 11 ms 1400 KB Ok
8 Correct 6 ms 760 KB Ok
9 Correct 12 ms 1628 KB Ok
10 Correct 8 ms 1016 KB Ok
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Ok
2 Correct 2 ms 376 KB Ok
3 Correct 2 ms 376 KB Ok
4 Correct 2 ms 376 KB Ok
5 Correct 2 ms 380 KB Ok
6 Correct 2 ms 376 KB Ok
7 Correct 2 ms 376 KB Ok
8 Correct 2 ms 376 KB Ok
9 Correct 2 ms 380 KB Ok
10 Correct 2 ms 376 KB Ok
11 Correct 2 ms 376 KB Ok
# Verdict Execution time Memory Grader output
1 Correct 1 ms 380 KB Ok
2 Correct 2 ms 376 KB Ok
3 Correct 2 ms 376 KB Ok
4 Correct 2 ms 376 KB Ok
5 Correct 2 ms 376 KB Ok
6 Correct 128 ms 14040 KB Ok
7 Correct 119 ms 13848 KB Ok
8 Correct 238 ms 18284 KB Ok
9 Correct 169 ms 16740 KB Ok
10 Correct 87 ms 7568 KB Ok
11 Correct 160 ms 16252 KB Ok
# Verdict Execution time Memory Grader output
1 Correct 14 ms 376 KB Ok
2 Correct 2 ms 376 KB Ok
3 Correct 2 ms 376 KB Ok
4 Correct 2 ms 376 KB Ok
5 Correct 2 ms 376 KB Ok
6 Correct 2 ms 376 KB Ok
7 Correct 2 ms 376 KB Ok
8 Correct 2 ms 376 KB Ok
9 Correct 2 ms 376 KB Ok
10 Correct 2 ms 376 KB Ok
11 Correct 2 ms 376 KB Ok
12 Correct 2 ms 376 KB Ok
13 Correct 2 ms 376 KB Ok
14 Correct 2 ms 376 KB Ok
15 Correct 2 ms 376 KB Ok
16 Correct 2 ms 376 KB Ok
17 Correct 2 ms 380 KB Ok
18 Correct 2 ms 376 KB Ok
19 Correct 2 ms 376 KB Ok
20 Correct 2 ms 376 KB Ok
21 Correct 2 ms 380 KB Ok
22 Correct 2 ms 376 KB Ok
23 Correct 2 ms 376 KB Ok
24 Correct 3 ms 376 KB Ok
25 Correct 3 ms 376 KB Ok
26 Correct 3 ms 504 KB Ok
27 Correct 4 ms 504 KB Ok
28 Correct 3 ms 504 KB Ok
29 Correct 3 ms 476 KB Ok
30 Correct 3 ms 376 KB Ok
31 Correct 3 ms 504 KB Ok
32 Correct 3 ms 548 KB Ok
33 Correct 3 ms 504 KB Ok
34 Correct 6 ms 760 KB Ok
35 Correct 6 ms 760 KB Ok
36 Correct 6 ms 760 KB Ok
37 Correct 6 ms 760 KB Ok
38 Correct 6 ms 812 KB Ok
39 Correct 6 ms 732 KB Ok
40 Correct 6 ms 836 KB Ok
41 Correct 6 ms 888 KB Ok
42 Correct 6 ms 760 KB Ok
43 Correct 6 ms 760 KB Ok
# Verdict Execution time Memory Grader output
1 Correct 14 ms 376 KB Ok
2 Correct 2 ms 376 KB Ok
3 Correct 2 ms 376 KB Ok
4 Correct 2 ms 376 KB Ok
5 Correct 2 ms 376 KB Ok
6 Correct 2 ms 376 KB Ok
7 Correct 2 ms 376 KB Ok
8 Correct 2 ms 376 KB Ok
9 Correct 2 ms 376 KB Ok
10 Correct 2 ms 376 KB Ok
11 Correct 2 ms 376 KB Ok
12 Correct 2 ms 376 KB Ok
13 Correct 2 ms 376 KB Ok
14 Correct 2 ms 376 KB Ok
15 Correct 2 ms 376 KB Ok
16 Correct 2 ms 380 KB Ok
17 Correct 2 ms 376 KB Ok
18 Correct 3 ms 632 KB Ok
19 Correct 11 ms 1400 KB Ok
20 Correct 6 ms 760 KB Ok
21 Correct 12 ms 1628 KB Ok
22 Correct 8 ms 1016 KB Ok
23 Correct 2 ms 376 KB Ok
24 Correct 2 ms 376 KB Ok
25 Correct 2 ms 376 KB Ok
26 Correct 2 ms 376 KB Ok
27 Correct 2 ms 380 KB Ok
28 Correct 2 ms 376 KB Ok
29 Correct 2 ms 376 KB Ok
30 Correct 2 ms 376 KB Ok
31 Correct 2 ms 380 KB Ok
32 Correct 2 ms 376 KB Ok
33 Correct 2 ms 376 KB Ok
34 Correct 3 ms 376 KB Ok
35 Correct 3 ms 376 KB Ok
36 Correct 3 ms 504 KB Ok
37 Correct 4 ms 504 KB Ok
38 Correct 3 ms 504 KB Ok
39 Correct 3 ms 476 KB Ok
40 Correct 3 ms 376 KB Ok
41 Correct 3 ms 504 KB Ok
42 Correct 3 ms 548 KB Ok
43 Correct 3 ms 504 KB Ok
44 Correct 6 ms 760 KB Ok
45 Correct 6 ms 760 KB Ok
46 Correct 6 ms 760 KB Ok
47 Correct 6 ms 760 KB Ok
48 Correct 6 ms 812 KB Ok
49 Correct 6 ms 732 KB Ok
50 Correct 6 ms 836 KB Ok
51 Correct 6 ms 888 KB Ok
52 Correct 6 ms 760 KB Ok
53 Correct 6 ms 760 KB Ok
54 Correct 75 ms 3084 KB Ok
55 Correct 89 ms 3300 KB Ok
56 Correct 83 ms 3440 KB Ok
57 Correct 62 ms 2676 KB Ok
58 Correct 77 ms 2804 KB Ok
59 Correct 69 ms 2800 KB Ok
60 Correct 59 ms 2548 KB Ok
61 Correct 68 ms 2760 KB Ok
62 Correct 95 ms 3060 KB Ok
63 Correct 64 ms 2804 KB Ok
64 Correct 90 ms 3364 KB Ok
65 Correct 84 ms 3016 KB Ok
66 Correct 71 ms 2832 KB Ok
67 Correct 60 ms 2800 KB Ok
68 Correct 78 ms 2864 KB Ok
69 Correct 171 ms 13044 KB Ok
70 Correct 165 ms 14708 KB Ok
71 Correct 168 ms 13912 KB Ok
72 Correct 178 ms 13256 KB Ok
73 Correct 165 ms 14068 KB Ok
74 Correct 166 ms 13460 KB Ok
75 Correct 171 ms 12532 KB Ok
76 Correct 175 ms 14008 KB Ok
77 Correct 169 ms 12660 KB Ok
78 Correct 182 ms 13684 KB Ok
79 Correct 186 ms 14068 KB Ok
80 Correct 175 ms 14324 KB Ok
81 Correct 180 ms 13688 KB Ok
82 Correct 169 ms 14068 KB Ok
83 Correct 181 ms 12536 KB Ok
# Verdict Execution time Memory Grader output
1 Correct 14 ms 376 KB Ok
2 Correct 2 ms 376 KB Ok
3 Correct 2 ms 376 KB Ok
4 Correct 2 ms 376 KB Ok
5 Correct 2 ms 376 KB Ok
6 Correct 2 ms 376 KB Ok
7 Correct 2 ms 376 KB Ok
8 Correct 2 ms 376 KB Ok
9 Correct 2 ms 376 KB Ok
10 Correct 2 ms 376 KB Ok
11 Correct 2 ms 376 KB Ok
12 Correct 2 ms 376 KB Ok
13 Correct 2 ms 376 KB Ok
14 Correct 2 ms 376 KB Ok
15 Correct 2 ms 376 KB Ok
16 Correct 2 ms 380 KB Ok
17 Correct 2 ms 376 KB Ok
18 Correct 3 ms 632 KB Ok
19 Correct 11 ms 1400 KB Ok
20 Correct 6 ms 760 KB Ok
21 Correct 12 ms 1628 KB Ok
22 Correct 8 ms 1016 KB Ok
23 Correct 2 ms 376 KB Ok
24 Correct 2 ms 376 KB Ok
25 Correct 2 ms 376 KB Ok
26 Correct 2 ms 376 KB Ok
27 Correct 2 ms 380 KB Ok
28 Correct 2 ms 376 KB Ok
29 Correct 2 ms 376 KB Ok
30 Correct 2 ms 376 KB Ok
31 Correct 2 ms 380 KB Ok
32 Correct 2 ms 376 KB Ok
33 Correct 2 ms 376 KB Ok
34 Correct 1 ms 380 KB Ok
35 Correct 2 ms 376 KB Ok
36 Correct 2 ms 376 KB Ok
37 Correct 2 ms 376 KB Ok
38 Correct 2 ms 376 KB Ok
39 Correct 128 ms 14040 KB Ok
40 Correct 119 ms 13848 KB Ok
41 Correct 238 ms 18284 KB Ok
42 Correct 169 ms 16740 KB Ok
43 Correct 87 ms 7568 KB Ok
44 Correct 160 ms 16252 KB Ok
45 Correct 3 ms 376 KB Ok
46 Correct 3 ms 376 KB Ok
47 Correct 3 ms 504 KB Ok
48 Correct 4 ms 504 KB Ok
49 Correct 3 ms 504 KB Ok
50 Correct 3 ms 476 KB Ok
51 Correct 3 ms 376 KB Ok
52 Correct 3 ms 504 KB Ok
53 Correct 3 ms 548 KB Ok
54 Correct 3 ms 504 KB Ok
55 Correct 6 ms 760 KB Ok
56 Correct 6 ms 760 KB Ok
57 Correct 6 ms 760 KB Ok
58 Correct 6 ms 760 KB Ok
59 Correct 6 ms 812 KB Ok
60 Correct 6 ms 732 KB Ok
61 Correct 6 ms 836 KB Ok
62 Correct 6 ms 888 KB Ok
63 Correct 6 ms 760 KB Ok
64 Correct 6 ms 760 KB Ok
65 Correct 75 ms 3084 KB Ok
66 Correct 89 ms 3300 KB Ok
67 Correct 83 ms 3440 KB Ok
68 Correct 62 ms 2676 KB Ok
69 Correct 77 ms 2804 KB Ok
70 Correct 69 ms 2800 KB Ok
71 Correct 59 ms 2548 KB Ok
72 Correct 68 ms 2760 KB Ok
73 Correct 95 ms 3060 KB Ok
74 Correct 64 ms 2804 KB Ok
75 Correct 90 ms 3364 KB Ok
76 Correct 84 ms 3016 KB Ok
77 Correct 71 ms 2832 KB Ok
78 Correct 60 ms 2800 KB Ok
79 Correct 78 ms 2864 KB Ok
80 Correct 171 ms 13044 KB Ok
81 Correct 165 ms 14708 KB Ok
82 Correct 168 ms 13912 KB Ok
83 Correct 178 ms 13256 KB Ok
84 Correct 165 ms 14068 KB Ok
85 Correct 166 ms 13460 KB Ok
86 Correct 171 ms 12532 KB Ok
87 Correct 175 ms 14008 KB Ok
88 Correct 169 ms 12660 KB Ok
89 Correct 182 ms 13684 KB Ok
90 Correct 186 ms 14068 KB Ok
91 Correct 175 ms 14324 KB Ok
92 Correct 180 ms 13688 KB Ok
93 Correct 169 ms 14068 KB Ok
94 Correct 181 ms 12536 KB Ok
95 Correct 158 ms 7276 KB Ok
96 Correct 270 ms 9720 KB Ok
97 Correct 276 ms 8296 KB Ok
98 Correct 194 ms 7656 KB Ok
99 Correct 244 ms 8092 KB Ok
100 Correct 245 ms 7788 KB Ok
101 Correct 246 ms 8596 KB Ok
102 Correct 220 ms 8428 KB Ok
103 Correct 236 ms 8552 KB Ok
104 Correct 283 ms 9672 KB Ok
105 Correct 288 ms 9064 KB Ok
106 Correct 210 ms 9652 KB Ok
107 Correct 258 ms 9064 KB Ok
108 Correct 295 ms 9616 KB Ok
109 Correct 259 ms 9960 KB Ok
110 Correct 830 ms 51560 KB Ok
111 Correct 1018 ms 56436 KB Ok
112 Correct 946 ms 56808 KB Ok
113 Correct 982 ms 53616 KB Ok
114 Correct 892 ms 57896 KB Ok
115 Correct 941 ms 54176 KB Ok
116 Correct 941 ms 57324 KB Ok
117 Correct 1012 ms 52572 KB Ok
118 Correct 921 ms 53816 KB Ok
119 Correct 1223 ms 53220 KB Ok
120 Correct 879 ms 52844 KB Ok
121 Correct 1135 ms 51048 KB Ok
122 Correct 974 ms 55888 KB Ok
123 Correct 1130 ms 55660 KB Ok
124 Correct 869 ms 51664 KB Ok
125 Correct 795 ms 32488 KB Ok