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Submission #967933

# Submission time Handle Problem Language Result Execution time Memory
967933 2024-04-23T05:42:02 Z phoenix0423 Binaria (CCO23_day1problem1) C++17
25 / 25
 69 ms 29008 KB 
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> pll;
#define fastio ios::sync_with_stdio(false), cin.tie(0)
#pragma GCC optimize("Ofast")
#define pb push_back
#define eb emplace_back
#define f first
#define s second
#define int long long
#define lowbit(x) x&-x
const int maxn = 1e6 + 1;
const int N = 1e6 + 3;
const int INF = 1e18;
int f[maxn], inf[maxn];

ll fpow(ll a, ll b){
    ll ret = 1;
    while(b){
        if(b & 1) ret = ret * a % N;
        a = a * a % N;
        b >>= 1;
    }
    return ret;
}

ll inv(ll a){ return fpow(a, N - 2);}

void precal(){
    f[0] = 1;
    for(int i = 1; i < maxn; i++) f[i] = f[i - 1] * i % N;
    inf[maxn - 1] = inv(f[maxn - 1]);
    for(int i = maxn - 2; i >= 0; i--) inf[i] = inf[i + 1] * (i + 1) % N;
}

ll binom(ll n, ll k){
    if(n < k) return 0;
    return f[n] * inf[k] % N * inf[n - k] % N;
}

signed main(void){
    fastio;
    precal();
    int n, k;
    cin>>n>>k;
    vector<int> s(n - k + 1);
    int bad = 0;
    for(auto &x : s){
        cin>>x;
        if(x > k) bad = 1;
    }
    for(int i = 0; i < s.size() - 1; i++){
        if(abs(s[i + 1] - s[i]) >= 2) bad = 1;
    }
    if(bad){
        cout<<0<<"\n";
        return 0;
    }
    int fr = k, cnt = 0;
    for(int i = 0; i < k; i++){
        int nd = -1;
        for(int j = i; j + 1 < s.size(); j += k){
            if(s[j + 1] - s[j] == 0) continue;
            if(s[j + 1] - s[j] == 1){
                nd = 0;
                break;
            }
            if(s[j + 1] - s[j] == -1){
                nd = 1;
                break;
            }
        }
        if(nd != -1) fr--, cnt += nd;
    }
    cout<<binom(fr, s[0] - cnt)<<"\n";
}

Compilation message

Main.cpp: In function 'int main()':
Main.cpp:53:22: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   53 |     for(int i = 0; i < s.size() - 1; i++){
      |                    ~~^~~~~~~~~~~~~~
Main.cpp:63:30: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   63 |         for(int j = i; j + 1 < s.size(); j += k){
      |                        ~~~~~~^~~~~~~~~~

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 15960 KB Output is correct
2 Correct 12 ms 15960 KB Output is correct
3 Correct 12 ms 15964 KB Output is correct
4 Correct 11 ms 15964 KB Output is correct
5 Correct 11 ms 15960 KB Output is correct
6 Correct 11 ms 16080 KB Output is correct
7 Correct 11 ms 15964 KB Output is correct
8 Correct 12 ms 15964 KB Output is correct
9 Correct 12 ms 15928 KB Output is correct
10 Correct 11 ms 15964 KB Output is correct
11 Correct 11 ms 16088 KB Output is correct
12 Correct 11 ms 15964 KB Output is correct

Subtask #2
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 15960 KB Output is correct
2 Correct 12 ms 15960 KB Output is correct
3 Correct 12 ms 15964 KB Output is correct
4 Correct 11 ms 15964 KB Output is correct
5 Correct 11 ms 15960 KB Output is correct
6 Correct 11 ms 16080 KB Output is correct
7 Correct 11 ms 15964 KB Output is correct
8 Correct 12 ms 15964 KB Output is correct
9 Correct 12 ms 15928 KB Output is correct
10 Correct 11 ms 15964 KB Output is correct
11 Correct 11 ms 16088 KB Output is correct
12 Correct 11 ms 15964 KB Output is correct
13 Correct 11 ms 15964 KB Output is correct
14 Correct 11 ms 16088 KB Output is correct
15 Correct 11 ms 15964 KB Output is correct
16 Correct 11 ms 15912 KB Output is correct
17 Correct 11 ms 16092 KB Output is correct
18 Correct 11 ms 15964 KB Output is correct
19 Correct 11 ms 16332 KB Output is correct
20 Correct 11 ms 15964 KB Output is correct
21 Correct 11 ms 15964 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 15960 KB Output is correct
2 Correct 12 ms 15960 KB Output is correct
3 Correct 12 ms 15964 KB Output is correct
4 Correct 11 ms 15964 KB Output is correct
5 Correct 11 ms 15960 KB Output is correct
6 Correct 11 ms 16080 KB Output is correct
7 Correct 11 ms 15964 KB Output is correct
8 Correct 12 ms 15964 KB Output is correct
9 Correct 12 ms 15928 KB Output is correct
10 Correct 11 ms 15964 KB Output is correct
11 Correct 11 ms 16088 KB Output is correct
12 Correct 11 ms 15964 KB Output is correct
13 Correct 11 ms 15964 KB Output is correct
14 Correct 11 ms 16088 KB Output is correct
15 Correct 11 ms 15964 KB Output is correct
16 Correct 11 ms 15912 KB Output is correct
17 Correct 11 ms 16092 KB Output is correct
18 Correct 11 ms 15964 KB Output is correct
19 Correct 11 ms 16332 KB Output is correct
20 Correct 11 ms 15964 KB Output is correct
21 Correct 11 ms 15964 KB Output is correct
22 Correct 11 ms 15960 KB Output is correct
23 Correct 11 ms 15920 KB Output is correct
24 Correct 11 ms 15964 KB Output is correct
25 Correct 12 ms 16080 KB Output is correct
26 Correct 11 ms 15964 KB Output is correct
27 Correct 11 ms 15964 KB Output is correct
28 Correct 11 ms 15964 KB Output is correct
29 Correct 11 ms 15964 KB Output is correct
30 Correct 11 ms 15964 KB Output is correct
31 Correct 11 ms 15912 KB Output is correct
32 Correct 11 ms 15964 KB Output is correct
33 Correct 11 ms 16232 KB Output is correct
34 Correct 11 ms 16112 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 15960 KB Output is correct
2 Correct 12 ms 15960 KB Output is correct
3 Correct 12 ms 15964 KB Output is correct
4 Correct 11 ms 15964 KB Output is correct
5 Correct 11 ms 15960 KB Output is correct
6 Correct 11 ms 16080 KB Output is correct
7 Correct 11 ms 15964 KB Output is correct
8 Correct 12 ms 15964 KB Output is correct
9 Correct 12 ms 15928 KB Output is correct
10 Correct 11 ms 15964 KB Output is correct
11 Correct 11 ms 16088 KB Output is correct
12 Correct 11 ms 15964 KB Output is correct
13 Correct 11 ms 15964 KB Output is correct
14 Correct 11 ms 16088 KB Output is correct
15 Correct 11 ms 15964 KB Output is correct
16 Correct 11 ms 15912 KB Output is correct
17 Correct 11 ms 16092 KB Output is correct
18 Correct 11 ms 15964 KB Output is correct
19 Correct 11 ms 16332 KB Output is correct
20 Correct 11 ms 15964 KB Output is correct
21 Correct 11 ms 15964 KB Output is correct
22 Correct 11 ms 15960 KB Output is correct
23 Correct 11 ms 15920 KB Output is correct
24 Correct 11 ms 15964 KB Output is correct
25 Correct 12 ms 16080 KB Output is correct
26 Correct 11 ms 15964 KB Output is correct
27 Correct 11 ms 15964 KB Output is correct
28 Correct 11 ms 15964 KB Output is correct
29 Correct 11 ms 15964 KB Output is correct
30 Correct 11 ms 15964 KB Output is correct
31 Correct 11 ms 15912 KB Output is correct
32 Correct 11 ms 15964 KB Output is correct
33 Correct 11 ms 16232 KB Output is correct
34 Correct 11 ms 16112 KB Output is correct
35 Correct 52 ms 25724 KB Output is correct
36 Correct 54 ms 26448 KB Output is correct
37 Correct 57 ms 26704 KB Output is correct
38 Correct 60 ms 26620 KB Output is correct
39 Correct 52 ms 25844 KB Output is correct
40 Correct 55 ms 26708 KB Output is correct
41 Correct 55 ms 26868 KB Output is correct
42 Correct 52 ms 25680 KB Output is correct
43 Correct 58 ms 25860 KB Output is correct
44 Correct 56 ms 25684 KB Output is correct
45 Correct 47 ms 25684 KB Output is correct
46 Correct 49 ms 25684 KB Output is correct
47 Correct 55 ms 25684 KB Output is correct
48 Correct 57 ms 26716 KB Output is correct
49 Correct 55 ms 26616 KB Output is correct

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 15960 KB Output is correct
2 Correct 12 ms 15960 KB Output is correct
3 Correct 12 ms 15964 KB Output is correct
4 Correct 11 ms 15964 KB Output is correct
5 Correct 11 ms 15960 KB Output is correct
6 Correct 11 ms 16080 KB Output is correct
7 Correct 11 ms 15964 KB Output is correct
8 Correct 12 ms 15964 KB Output is correct
9 Correct 12 ms 15928 KB Output is correct
10 Correct 11 ms 15964 KB Output is correct
11 Correct 11 ms 16088 KB Output is correct
12 Correct 11 ms 15964 KB Output is correct
13 Correct 11 ms 15964 KB Output is correct
14 Correct 11 ms 16088 KB Output is correct
15 Correct 11 ms 15964 KB Output is correct
16 Correct 11 ms 15912 KB Output is correct
17 Correct 11 ms 16092 KB Output is correct
18 Correct 11 ms 15964 KB Output is correct
19 Correct 11 ms 16332 KB Output is correct
20 Correct 11 ms 15964 KB Output is correct
21 Correct 11 ms 15964 KB Output is correct
22 Correct 11 ms 15960 KB Output is correct
23 Correct 11 ms 15920 KB Output is correct
24 Correct 11 ms 15964 KB Output is correct
25 Correct 12 ms 16080 KB Output is correct
26 Correct 11 ms 15964 KB Output is correct
27 Correct 11 ms 15964 KB Output is correct
28 Correct 11 ms 15964 KB Output is correct
29 Correct 11 ms 15964 KB Output is correct
30 Correct 11 ms 15964 KB Output is correct
31 Correct 11 ms 15912 KB Output is correct
32 Correct 11 ms 15964 KB Output is correct
33 Correct 11 ms 16232 KB Output is correct
34 Correct 11 ms 16112 KB Output is correct
35 Correct 52 ms 25724 KB Output is correct
36 Correct 54 ms 26448 KB Output is correct
37 Correct 57 ms 26704 KB Output is correct
38 Correct 60 ms 26620 KB Output is correct
39 Correct 52 ms 25844 KB Output is correct
40 Correct 55 ms 26708 KB Output is correct
41 Correct 55 ms 26868 KB Output is correct
42 Correct 52 ms 25680 KB Output is correct
43 Correct 58 ms 25860 KB Output is correct
44 Correct 56 ms 25684 KB Output is correct
45 Correct 47 ms 25684 KB Output is correct
46 Correct 49 ms 25684 KB Output is correct
47 Correct 55 ms 25684 KB Output is correct
48 Correct 57 ms 26716 KB Output is correct
49 Correct 55 ms 26616 KB Output is correct
50 Correct 66 ms 28756 KB Output is correct
51 Correct 65 ms 28776 KB Output is correct
52 Correct 69 ms 28752 KB Output is correct
53 Correct 66 ms 28752 KB Output is correct
54 Correct 64 ms 28756 KB Output is correct
55 Correct 66 ms 28760 KB Output is correct
56 Correct 67 ms 28764 KB Output is correct
57 Correct 63 ms 28244 KB Output is correct
58 Correct 65 ms 29008 KB Output is correct
59 Correct 64 ms 28764 KB Output is correct
60 Correct 59 ms 27732 KB Output is correct

Subtask #6
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 15960 KB Output is correct
2 Correct 12 ms 15960 KB Output is correct
3 Correct 12 ms 15964 KB Output is correct
4 Correct 11 ms 15964 KB Output is correct
5 Correct 11 ms 15960 KB Output is correct
6 Correct 11 ms 16080 KB Output is correct
7 Correct 11 ms 15964 KB Output is correct
8 Correct 12 ms 15964 KB Output is correct
9 Correct 12 ms 15928 KB Output is correct
10 Correct 11 ms 15964 KB Output is correct
11 Correct 11 ms 16088 KB Output is correct
12 Correct 11 ms 15964 KB Output is correct
13 Correct 11 ms 15964 KB Output is correct
14 Correct 11 ms 16088 KB Output is correct
15 Correct 11 ms 15964 KB Output is correct
16 Correct 11 ms 15912 KB Output is correct
17 Correct 11 ms 16092 KB Output is correct
18 Correct 11 ms 15964 KB Output is correct
19 Correct 11 ms 16332 KB Output is correct
20 Correct 11 ms 15964 KB Output is correct
21 Correct 11 ms 15964 KB Output is correct
22 Correct 11 ms 15960 KB Output is correct
23 Correct 11 ms 15920 KB Output is correct
24 Correct 11 ms 15964 KB Output is correct
25 Correct 12 ms 16080 KB Output is correct
26 Correct 11 ms 15964 KB Output is correct
27 Correct 11 ms 15964 KB Output is correct
28 Correct 11 ms 15964 KB Output is correct
29 Correct 11 ms 15964 KB Output is correct
30 Correct 11 ms 15964 KB Output is correct
31 Correct 11 ms 15912 KB Output is correct
32 Correct 11 ms 15964 KB Output is correct
33 Correct 11 ms 16232 KB Output is correct
34 Correct 11 ms 16112 KB Output is correct
35 Correct 52 ms 25724 KB Output is correct
36 Correct 54 ms 26448 KB Output is correct
37 Correct 57 ms 26704 KB Output is correct
38 Correct 60 ms 26620 KB Output is correct
39 Correct 52 ms 25844 KB Output is correct
40 Correct 55 ms 26708 KB Output is correct
41 Correct 55 ms 26868 KB Output is correct
42 Correct 52 ms 25680 KB Output is correct
43 Correct 58 ms 25860 KB Output is correct
44 Correct 56 ms 25684 KB Output is correct
45 Correct 47 ms 25684 KB Output is correct
46 Correct 49 ms 25684 KB Output is correct
47 Correct 55 ms 25684 KB Output is correct
48 Correct 57 ms 26716 KB Output is correct
49 Correct 55 ms 26616 KB Output is correct
50 Correct 66 ms 28756 KB Output is correct
51 Correct 65 ms 28776 KB Output is correct
52 Correct 69 ms 28752 KB Output is correct
53 Correct 66 ms 28752 KB Output is correct
54 Correct 64 ms 28756 KB Output is correct
55 Correct 66 ms 28760 KB Output is correct
56 Correct 67 ms 28764 KB Output is correct
57 Correct 63 ms 28244 KB Output is correct
58 Correct 65 ms 29008 KB Output is correct
59 Correct 64 ms 28764 KB Output is correct
60 Correct 59 ms 27732 KB Output is correct
61 Correct 13 ms 15960 KB Output is correct
62 Correct 13 ms 16220 KB Output is correct
63 Correct 12 ms 15964 KB Output is correct
64 Correct 12 ms 15964 KB Output is correct
65 Correct 45 ms 23376 KB Output is correct
66 Correct 34 ms 21072 KB Output is correct
67 Correct 65 ms 27728 KB Output is correct
68 Correct 16 ms 17244 KB Output is correct
69 Correct 12 ms 15916 KB Output is correct
70 Correct 12 ms 15960 KB Output is correct
71 Correct 12 ms 15924 KB Output is correct