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Submission #1037075

# Submission time Handle Problem Language Result Execution time Memory
1037075 2024-07-28T02:50:15 Z fryingduc Binaria (CCO23_day1problem1) C++17
25 / 25
 171 ms 22356 KB 
#include "bits/stdc++.h"
using namespace std;

const int maxn = 1e6 + 6;
const int mod = 1e6 + 3;
int n, k;
int a[maxn], force[maxn];
bool check[maxn];
int fact[maxn], inv[maxn];

int power(int a, int b) {
    if(b == 0) return 1;
    int ans = power(a, b / 2);
    ans = (1ll * ans * ans % mod);
    if(b & 1) return 1ll * ans * a % mod;
    return ans;
}
int C(int n, int k) {
    if(k > n) return 0;
    return 1ll * fact[n] * inv[n - k] % mod * inv[k] % mod;
}
void solve() {
    cin >> n >> k;
    for(int i = 1; i <= n - k + 1; ++i) {
        cin >> a[i];
    }
    fill(force, force + n + 1, -1);
    for(int i = 2, j = k + 1; i <= n - k + 1; ++i, ++j) {
        if(a[i] > a[i - 1]) {
            force[j] = 1, force[j - k] = 0;
        }
        else if(a[i] < a[i - 1]) {
            force[j - k] = 1, force[j] = 0;
        }
    }
    for(int i = n - k + 1, j = n; i > 1; --i, --j) {
        if(a[i] == a[i - 1]) {
            force[j] = force[j - k] = max(force[j], force[j - k]);
        }
    }
    int cnt = 0;
    for(int i = 1; i <= k; ++i) {
        if(force[i] == -1) ++cnt;
        else {
            a[1] -= force[i];
        }
    }
    cout << C(cnt, a[1]);
}
signed main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    
    fact[0] = inv[0] = 1;
    for(int i = 1; i < maxn; ++i) {
        fact[i] = 1ll * fact[i - 1] * i % mod;
        inv[i] = power(fact[i], mod - 2);
    }
    
    solve();
    return 0;
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 113 ms 12884 KB Output is correct
2 Correct 116 ms 12920 KB Output is correct
3 Correct 115 ms 12880 KB Output is correct
4 Correct 115 ms 12884 KB Output is correct
5 Correct 114 ms 12884 KB Output is correct
6 Correct 114 ms 12884 KB Output is correct
7 Correct 114 ms 12936 KB Output is correct
8 Correct 125 ms 12884 KB Output is correct
9 Correct 115 ms 12884 KB Output is correct
10 Correct 115 ms 12920 KB Output is correct
11 Correct 113 ms 12916 KB Output is correct
12 Correct 117 ms 12884 KB Output is correct

Subtask #2
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 113 ms 12884 KB Output is correct
2 Correct 116 ms 12920 KB Output is correct
3 Correct 115 ms 12880 KB Output is correct
4 Correct 115 ms 12884 KB Output is correct
5 Correct 114 ms 12884 KB Output is correct
6 Correct 114 ms 12884 KB Output is correct
7 Correct 114 ms 12936 KB Output is correct
8 Correct 125 ms 12884 KB Output is correct
9 Correct 115 ms 12884 KB Output is correct
10 Correct 115 ms 12920 KB Output is correct
11 Correct 113 ms 12916 KB Output is correct
12 Correct 117 ms 12884 KB Output is correct
13 Correct 114 ms 12920 KB Output is correct
14 Correct 114 ms 12884 KB Output is correct
15 Correct 114 ms 12884 KB Output is correct
16 Correct 115 ms 12924 KB Output is correct
17 Correct 115 ms 12920 KB Output is correct
18 Correct 115 ms 12924 KB Output is correct
19 Correct 113 ms 12884 KB Output is correct
20 Correct 116 ms 12884 KB Output is correct
21 Correct 113 ms 12928 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 113 ms 12884 KB Output is correct
2 Correct 116 ms 12920 KB Output is correct
3 Correct 115 ms 12880 KB Output is correct
4 Correct 115 ms 12884 KB Output is correct
5 Correct 114 ms 12884 KB Output is correct
6 Correct 114 ms 12884 KB Output is correct
7 Correct 114 ms 12936 KB Output is correct
8 Correct 125 ms 12884 KB Output is correct
9 Correct 115 ms 12884 KB Output is correct
10 Correct 115 ms 12920 KB Output is correct
11 Correct 113 ms 12916 KB Output is correct
12 Correct 117 ms 12884 KB Output is correct
13 Correct 114 ms 12920 KB Output is correct
14 Correct 114 ms 12884 KB Output is correct
15 Correct 114 ms 12884 KB Output is correct
16 Correct 115 ms 12924 KB Output is correct
17 Correct 115 ms 12920 KB Output is correct
18 Correct 115 ms 12924 KB Output is correct
19 Correct 113 ms 12884 KB Output is correct
20 Correct 116 ms 12884 KB Output is correct
21 Correct 113 ms 12928 KB Output is correct
22 Correct 115 ms 12884 KB Output is correct
23 Correct 115 ms 12936 KB Output is correct
24 Correct 118 ms 12936 KB Output is correct
25 Correct 116 ms 12920 KB Output is correct
26 Correct 114 ms 12928 KB Output is correct
27 Correct 113 ms 12884 KB Output is correct
28 Correct 113 ms 12884 KB Output is correct
29 Correct 117 ms 12940 KB Output is correct
30 Correct 114 ms 12932 KB Output is correct
31 Correct 113 ms 12884 KB Output is correct
32 Correct 114 ms 12932 KB Output is correct
33 Correct 115 ms 12928 KB Output is correct
34 Correct 114 ms 13140 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 113 ms 12884 KB Output is correct
2 Correct 116 ms 12920 KB Output is correct
3 Correct 115 ms 12880 KB Output is correct
4 Correct 115 ms 12884 KB Output is correct
5 Correct 114 ms 12884 KB Output is correct
6 Correct 114 ms 12884 KB Output is correct
7 Correct 114 ms 12936 KB Output is correct
8 Correct 125 ms 12884 KB Output is correct
9 Correct 115 ms 12884 KB Output is correct
10 Correct 115 ms 12920 KB Output is correct
11 Correct 113 ms 12916 KB Output is correct
12 Correct 117 ms 12884 KB Output is correct
13 Correct 114 ms 12920 KB Output is correct
14 Correct 114 ms 12884 KB Output is correct
15 Correct 114 ms 12884 KB Output is correct
16 Correct 115 ms 12924 KB Output is correct
17 Correct 115 ms 12920 KB Output is correct
18 Correct 115 ms 12924 KB Output is correct
19 Correct 113 ms 12884 KB Output is correct
20 Correct 116 ms 12884 KB Output is correct
21 Correct 113 ms 12928 KB Output is correct
22 Correct 115 ms 12884 KB Output is correct
23 Correct 115 ms 12936 KB Output is correct
24 Correct 118 ms 12936 KB Output is correct
25 Correct 116 ms 12920 KB Output is correct
26 Correct 114 ms 12928 KB Output is correct
27 Correct 113 ms 12884 KB Output is correct
28 Correct 113 ms 12884 KB Output is correct
29 Correct 117 ms 12940 KB Output is correct
30 Correct 114 ms 12932 KB Output is correct
31 Correct 113 ms 12884 KB Output is correct
32 Correct 114 ms 12932 KB Output is correct
33 Correct 115 ms 12928 KB Output is correct
34 Correct 114 ms 13140 KB Output is correct
35 Correct 146 ms 18828 KB Output is correct
36 Correct 153 ms 19536 KB Output is correct
37 Correct 154 ms 19796 KB Output is correct
38 Correct 151 ms 19796 KB Output is correct
39 Correct 147 ms 19024 KB Output is correct
40 Correct 151 ms 19796 KB Output is correct
41 Correct 151 ms 19844 KB Output is correct
42 Correct 150 ms 19032 KB Output is correct
43 Correct 149 ms 18808 KB Output is correct
44 Correct 149 ms 19028 KB Output is correct
45 Correct 146 ms 18928 KB Output is correct
46 Correct 149 ms 18824 KB Output is correct
47 Correct 153 ms 18824 KB Output is correct
48 Correct 152 ms 19796 KB Output is correct
49 Correct 150 ms 19956 KB Output is correct

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 113 ms 12884 KB Output is correct
2 Correct 116 ms 12920 KB Output is correct
3 Correct 115 ms 12880 KB Output is correct
4 Correct 115 ms 12884 KB Output is correct
5 Correct 114 ms 12884 KB Output is correct
6 Correct 114 ms 12884 KB Output is correct
7 Correct 114 ms 12936 KB Output is correct
8 Correct 125 ms 12884 KB Output is correct
9 Correct 115 ms 12884 KB Output is correct
10 Correct 115 ms 12920 KB Output is correct
11 Correct 113 ms 12916 KB Output is correct
12 Correct 117 ms 12884 KB Output is correct
13 Correct 114 ms 12920 KB Output is correct
14 Correct 114 ms 12884 KB Output is correct
15 Correct 114 ms 12884 KB Output is correct
16 Correct 115 ms 12924 KB Output is correct
17 Correct 115 ms 12920 KB Output is correct
18 Correct 115 ms 12924 KB Output is correct
19 Correct 113 ms 12884 KB Output is correct
20 Correct 116 ms 12884 KB Output is correct
21 Correct 113 ms 12928 KB Output is correct
22 Correct 115 ms 12884 KB Output is correct
23 Correct 115 ms 12936 KB Output is correct
24 Correct 118 ms 12936 KB Output is correct
25 Correct 116 ms 12920 KB Output is correct
26 Correct 114 ms 12928 KB Output is correct
27 Correct 113 ms 12884 KB Output is correct
28 Correct 113 ms 12884 KB Output is correct
29 Correct 117 ms 12940 KB Output is correct
30 Correct 114 ms 12932 KB Output is correct
31 Correct 113 ms 12884 KB Output is correct
32 Correct 114 ms 12932 KB Output is correct
33 Correct 115 ms 12928 KB Output is correct
34 Correct 114 ms 13140 KB Output is correct
35 Correct 146 ms 18828 KB Output is correct
36 Correct 153 ms 19536 KB Output is correct
37 Correct 154 ms 19796 KB Output is correct
38 Correct 151 ms 19796 KB Output is correct
39 Correct 147 ms 19024 KB Output is correct
40 Correct 151 ms 19796 KB Output is correct
41 Correct 151 ms 19844 KB Output is correct
42 Correct 150 ms 19032 KB Output is correct
43 Correct 149 ms 18808 KB Output is correct
44 Correct 149 ms 19028 KB Output is correct
45 Correct 146 ms 18928 KB Output is correct
46 Correct 149 ms 18824 KB Output is correct
47 Correct 153 ms 18824 KB Output is correct
48 Correct 152 ms 19796 KB Output is correct
49 Correct 150 ms 19956 KB Output is correct
50 Correct 160 ms 21844 KB Output is correct
51 Correct 159 ms 21892 KB Output is correct
52 Correct 159 ms 21888 KB Output is correct
53 Correct 161 ms 21844 KB Output is correct
54 Correct 162 ms 21892 KB Output is correct
55 Correct 161 ms 21892 KB Output is correct
56 Correct 159 ms 21928 KB Output is correct
57 Correct 171 ms 20816 KB Output is correct
58 Correct 159 ms 21844 KB Output is correct
59 Correct 160 ms 21892 KB Output is correct
60 Correct 155 ms 20864 KB Output is correct

Subtask #6
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 113 ms 12884 KB Output is correct
2 Correct 116 ms 12920 KB Output is correct
3 Correct 115 ms 12880 KB Output is correct
4 Correct 115 ms 12884 KB Output is correct
5 Correct 114 ms 12884 KB Output is correct
6 Correct 114 ms 12884 KB Output is correct
7 Correct 114 ms 12936 KB Output is correct
8 Correct 125 ms 12884 KB Output is correct
9 Correct 115 ms 12884 KB Output is correct
10 Correct 115 ms 12920 KB Output is correct
11 Correct 113 ms 12916 KB Output is correct
12 Correct 117 ms 12884 KB Output is correct
13 Correct 114 ms 12920 KB Output is correct
14 Correct 114 ms 12884 KB Output is correct
15 Correct 114 ms 12884 KB Output is correct
16 Correct 115 ms 12924 KB Output is correct
17 Correct 115 ms 12920 KB Output is correct
18 Correct 115 ms 12924 KB Output is correct
19 Correct 113 ms 12884 KB Output is correct
20 Correct 116 ms 12884 KB Output is correct
21 Correct 113 ms 12928 KB Output is correct
22 Correct 115 ms 12884 KB Output is correct
23 Correct 115 ms 12936 KB Output is correct
24 Correct 118 ms 12936 KB Output is correct
25 Correct 116 ms 12920 KB Output is correct
26 Correct 114 ms 12928 KB Output is correct
27 Correct 113 ms 12884 KB Output is correct
28 Correct 113 ms 12884 KB Output is correct
29 Correct 117 ms 12940 KB Output is correct
30 Correct 114 ms 12932 KB Output is correct
31 Correct 113 ms 12884 KB Output is correct
32 Correct 114 ms 12932 KB Output is correct
33 Correct 115 ms 12928 KB Output is correct
34 Correct 114 ms 13140 KB Output is correct
35 Correct 146 ms 18828 KB Output is correct
36 Correct 153 ms 19536 KB Output is correct
37 Correct 154 ms 19796 KB Output is correct
38 Correct 151 ms 19796 KB Output is correct
39 Correct 147 ms 19024 KB Output is correct
40 Correct 151 ms 19796 KB Output is correct
41 Correct 151 ms 19844 KB Output is correct
42 Correct 150 ms 19032 KB Output is correct
43 Correct 149 ms 18808 KB Output is correct
44 Correct 149 ms 19028 KB Output is correct
45 Correct 146 ms 18928 KB Output is correct
46 Correct 149 ms 18824 KB Output is correct
47 Correct 153 ms 18824 KB Output is correct
48 Correct 152 ms 19796 KB Output is correct
49 Correct 150 ms 19956 KB Output is correct
50 Correct 160 ms 21844 KB Output is correct
51 Correct 159 ms 21892 KB Output is correct
52 Correct 159 ms 21888 KB Output is correct
53 Correct 161 ms 21844 KB Output is correct
54 Correct 162 ms 21892 KB Output is correct
55 Correct 161 ms 21892 KB Output is correct
56 Correct 159 ms 21928 KB Output is correct
57 Correct 171 ms 20816 KB Output is correct
58 Correct 159 ms 21844 KB Output is correct
59 Correct 160 ms 21892 KB Output is correct
60 Correct 155 ms 20864 KB Output is correct
61 Correct 114 ms 14932 KB Output is correct
62 Correct 115 ms 14932 KB Output is correct
63 Correct 114 ms 14928 KB Output is correct
64 Correct 115 ms 14932 KB Output is correct
65 Correct 134 ms 20308 KB Output is correct
66 Correct 134 ms 17236 KB Output is correct
67 Correct 163 ms 22356 KB Output is correct
68 Correct 122 ms 15188 KB Output is correct
69 Correct 114 ms 14932 KB Output is correct
70 Correct 114 ms 14980 KB Output is correct
71 Correct 114 ms 14976 KB Output is correct