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Submission #967973

# Submission time Handle Problem Language Result Execution time Memory
967973 2024-04-23T06:15:06 Z pcc Binaria (CCO23_day1problem1) C++17
25 / 25
 77 ms 24000 KB 
#include <bits/stdc++.h>
using namespace std;

#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,popcnt,sse4")


#define ll long long
#define pii pair<int,int>
#define fs first
#define sc second

const int mxn = 1e6+2;
const ll mod = 1e6+3;
ll fac[mxn],ifac[mxn];
int arr[mxn];
int val[mxn];
ll N,K;

ll pw(ll a,ll b){
	ll re = 1;
	while(b){
		if(b&1)re = re*a%mod;
		b>>=1;
		a = a*a%mod;
	}
	return re;
}
ll inv(ll k){
	return pw(k,mod-2);
}

ll C(ll a,ll b){
	if(b>a)return 0;
	return fac[a]*ifac[b]%mod*ifac[a-b]%mod;
}

void check(int p,int v){
	int pp = p;
	p = pp-K;
	while(p>=0&&val[p] == -1)val[p] = v,p -= K;
	p = pp+K;
	while(p<N&&val[p] == -1)val[p] = v,p += K;
	return;
}

int main(){
	ios::sync_with_stdio(0);cin.tie(0);cout.tie(0);
	fac[0] = ifac[0] = 1;
	for(int i = 1;i<mxn;i++)fac[i] = fac[i-1]*i%mod;
	ifac[mxn-1] = inv(fac[mxn-1]);
	for(int i = mxn-2;i>=0;i--)ifac[i] = ifac[i+1]*(i+1)%mod;
	cin>>N>>K;
	for(int i = 0;i<N-K+1;i++){
		cin>>arr[i];
	}
	for(int i = 0;i<N-K+1;i++){
		if(arr[i]>K){
			cout<<"0\n";
			return 0;
		}
	}
	memset(val,-1,sizeof(val));
	for(int i = 0;i+1<N-K+1;i++){
		if(abs(arr[i]-arr[i+1]) > 1){
			cout<<"0\n";
			return 0;
		}
		if(arr[i]>arr[i+1]){
			val[i] = 1,val[i+K] = 0;
		}
		else if(arr[i]<arr[i+1]){
			val[i] = 0,val[i+K] = 1;
		}
	}
	for(int i = 0;i<N;i++){
		if(val[i] != -1)check(i,val[i]);
	}
	for(int i = 0;i+1<N-K+1;i++){
		if(arr[i]>arr[i+1]){
			if(val[i] != 1||val[i+K] != 0){
				cout<<"0\n";
				return 0;
			}
		}
		else if(arr[i]<arr[i+1]){
			if(val[i] != 0||val[i+K] != 1){
				cout<<"0\n";
				return 0;
			}
		}
		else{
			if(val[i] != val[i+K]){
				cout<<"0\n";
				return 0;
			}
		}
	}
	int sum = 0,cnt = 0;
	for(int i = 0;i<K;i++){
		if(val[i] != -1)sum += val[i];
		else cnt++;
	}
	if(sum>arr[0]||sum+cnt<arr[0]){
		cout<<"0\n";
		return 0;
	}
	cout<<C(cnt,arr[0]-sum)<<'\n';
	return 0;
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 21852 KB Output is correct
2 Correct 12 ms 21696 KB Output is correct
3 Correct 13 ms 21848 KB Output is correct
4 Correct 11 ms 21852 KB Output is correct
5 Correct 12 ms 21852 KB Output is correct
6 Correct 12 ms 21848 KB Output is correct
7 Correct 12 ms 21852 KB Output is correct
8 Correct 12 ms 21852 KB Output is correct
9 Correct 12 ms 21852 KB Output is correct
10 Correct 12 ms 21852 KB Output is correct
11 Correct 12 ms 21704 KB Output is correct
12 Correct 12 ms 21852 KB Output is correct

Subtask #2
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 21852 KB Output is correct
2 Correct 12 ms 21696 KB Output is correct
3 Correct 13 ms 21848 KB Output is correct
4 Correct 11 ms 21852 KB Output is correct
5 Correct 12 ms 21852 KB Output is correct
6 Correct 12 ms 21848 KB Output is correct
7 Correct 12 ms 21852 KB Output is correct
8 Correct 12 ms 21852 KB Output is correct
9 Correct 12 ms 21852 KB Output is correct
10 Correct 12 ms 21852 KB Output is correct
11 Correct 12 ms 21704 KB Output is correct
12 Correct 12 ms 21852 KB Output is correct
13 Correct 11 ms 21852 KB Output is correct
14 Correct 12 ms 21848 KB Output is correct
15 Correct 12 ms 21852 KB Output is correct
16 Correct 11 ms 21852 KB Output is correct
17 Correct 12 ms 21856 KB Output is correct
18 Correct 12 ms 21852 KB Output is correct
19 Correct 11 ms 21976 KB Output is correct
20 Correct 12 ms 21860 KB Output is correct
21 Correct 12 ms 21856 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 21852 KB Output is correct
2 Correct 12 ms 21696 KB Output is correct
3 Correct 13 ms 21848 KB Output is correct
4 Correct 11 ms 21852 KB Output is correct
5 Correct 12 ms 21852 KB Output is correct
6 Correct 12 ms 21848 KB Output is correct
7 Correct 12 ms 21852 KB Output is correct
8 Correct 12 ms 21852 KB Output is correct
9 Correct 12 ms 21852 KB Output is correct
10 Correct 12 ms 21852 KB Output is correct
11 Correct 12 ms 21704 KB Output is correct
12 Correct 12 ms 21852 KB Output is correct
13 Correct 11 ms 21852 KB Output is correct
14 Correct 12 ms 21848 KB Output is correct
15 Correct 12 ms 21852 KB Output is correct
16 Correct 11 ms 21852 KB Output is correct
17 Correct 12 ms 21856 KB Output is correct
18 Correct 12 ms 21852 KB Output is correct
19 Correct 11 ms 21976 KB Output is correct
20 Correct 12 ms 21860 KB Output is correct
21 Correct 12 ms 21856 KB Output is correct
22 Correct 11 ms 21852 KB Output is correct
23 Correct 12 ms 21852 KB Output is correct
24 Correct 11 ms 21852 KB Output is correct
25 Correct 12 ms 21852 KB Output is correct
26 Correct 12 ms 21852 KB Output is correct
27 Correct 11 ms 21852 KB Output is correct
28 Correct 12 ms 21704 KB Output is correct
29 Correct 12 ms 21860 KB Output is correct
30 Correct 12 ms 21852 KB Output is correct
31 Correct 12 ms 21856 KB Output is correct
32 Correct 12 ms 21700 KB Output is correct
33 Correct 12 ms 21852 KB Output is correct
34 Correct 12 ms 21852 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 21852 KB Output is correct
2 Correct 12 ms 21696 KB Output is correct
3 Correct 13 ms 21848 KB Output is correct
4 Correct 11 ms 21852 KB Output is correct
5 Correct 12 ms 21852 KB Output is correct
6 Correct 12 ms 21848 KB Output is correct
7 Correct 12 ms 21852 KB Output is correct
8 Correct 12 ms 21852 KB Output is correct
9 Correct 12 ms 21852 KB Output is correct
10 Correct 12 ms 21852 KB Output is correct
11 Correct 12 ms 21704 KB Output is correct
12 Correct 12 ms 21852 KB Output is correct
13 Correct 11 ms 21852 KB Output is correct
14 Correct 12 ms 21848 KB Output is correct
15 Correct 12 ms 21852 KB Output is correct
16 Correct 11 ms 21852 KB Output is correct
17 Correct 12 ms 21856 KB Output is correct
18 Correct 12 ms 21852 KB Output is correct
19 Correct 11 ms 21976 KB Output is correct
20 Correct 12 ms 21860 KB Output is correct
21 Correct 12 ms 21856 KB Output is correct
22 Correct 11 ms 21852 KB Output is correct
23 Correct 12 ms 21852 KB Output is correct
24 Correct 11 ms 21852 KB Output is correct
25 Correct 12 ms 21852 KB Output is correct
26 Correct 12 ms 21852 KB Output is correct
27 Correct 11 ms 21852 KB Output is correct
28 Correct 12 ms 21704 KB Output is correct
29 Correct 12 ms 21860 KB Output is correct
30 Correct 12 ms 21852 KB Output is correct
31 Correct 12 ms 21856 KB Output is correct
32 Correct 12 ms 21700 KB Output is correct
33 Correct 12 ms 21852 KB Output is correct
34 Correct 12 ms 21852 KB Output is correct
35 Correct 50 ms 23748 KB Output is correct
36 Correct 60 ms 23888 KB Output is correct
37 Correct 66 ms 24000 KB Output is correct
38 Correct 56 ms 23768 KB Output is correct
39 Correct 50 ms 23728 KB Output is correct
40 Correct 55 ms 23896 KB Output is correct
41 Correct 59 ms 23740 KB Output is correct
42 Correct 54 ms 23764 KB Output is correct
43 Correct 54 ms 23740 KB Output is correct
44 Correct 50 ms 23892 KB Output is correct
45 Correct 51 ms 23736 KB Output is correct
46 Correct 49 ms 23892 KB Output is correct
47 Correct 51 ms 23892 KB Output is correct
48 Correct 61 ms 23888 KB Output is correct
49 Correct 63 ms 23892 KB Output is correct

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 21852 KB Output is correct
2 Correct 12 ms 21696 KB Output is correct
3 Correct 13 ms 21848 KB Output is correct
4 Correct 11 ms 21852 KB Output is correct
5 Correct 12 ms 21852 KB Output is correct
6 Correct 12 ms 21848 KB Output is correct
7 Correct 12 ms 21852 KB Output is correct
8 Correct 12 ms 21852 KB Output is correct
9 Correct 12 ms 21852 KB Output is correct
10 Correct 12 ms 21852 KB Output is correct
11 Correct 12 ms 21704 KB Output is correct
12 Correct 12 ms 21852 KB Output is correct
13 Correct 11 ms 21852 KB Output is correct
14 Correct 12 ms 21848 KB Output is correct
15 Correct 12 ms 21852 KB Output is correct
16 Correct 11 ms 21852 KB Output is correct
17 Correct 12 ms 21856 KB Output is correct
18 Correct 12 ms 21852 KB Output is correct
19 Correct 11 ms 21976 KB Output is correct
20 Correct 12 ms 21860 KB Output is correct
21 Correct 12 ms 21856 KB Output is correct
22 Correct 11 ms 21852 KB Output is correct
23 Correct 12 ms 21852 KB Output is correct
24 Correct 11 ms 21852 KB Output is correct
25 Correct 12 ms 21852 KB Output is correct
26 Correct 12 ms 21852 KB Output is correct
27 Correct 11 ms 21852 KB Output is correct
28 Correct 12 ms 21704 KB Output is correct
29 Correct 12 ms 21860 KB Output is correct
30 Correct 12 ms 21852 KB Output is correct
31 Correct 12 ms 21856 KB Output is correct
32 Correct 12 ms 21700 KB Output is correct
33 Correct 12 ms 21852 KB Output is correct
34 Correct 12 ms 21852 KB Output is correct
35 Correct 50 ms 23748 KB Output is correct
36 Correct 60 ms 23888 KB Output is correct
37 Correct 66 ms 24000 KB Output is correct
38 Correct 56 ms 23768 KB Output is correct
39 Correct 50 ms 23728 KB Output is correct
40 Correct 55 ms 23896 KB Output is correct
41 Correct 59 ms 23740 KB Output is correct
42 Correct 54 ms 23764 KB Output is correct
43 Correct 54 ms 23740 KB Output is correct
44 Correct 50 ms 23892 KB Output is correct
45 Correct 51 ms 23736 KB Output is correct
46 Correct 49 ms 23892 KB Output is correct
47 Correct 51 ms 23892 KB Output is correct
48 Correct 61 ms 23888 KB Output is correct
49 Correct 63 ms 23892 KB Output is correct
50 Correct 64 ms 23888 KB Output is correct
51 Correct 63 ms 23756 KB Output is correct
52 Correct 68 ms 23892 KB Output is correct
53 Correct 77 ms 23892 KB Output is correct
54 Correct 64 ms 23892 KB Output is correct
55 Correct 66 ms 23892 KB Output is correct
56 Correct 67 ms 23988 KB Output is correct
57 Correct 68 ms 23748 KB Output is correct
58 Correct 73 ms 23744 KB Output is correct
59 Correct 67 ms 23892 KB Output is correct
60 Correct 67 ms 23888 KB Output is correct

Subtask #6
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 21852 KB Output is correct
2 Correct 12 ms 21696 KB Output is correct
3 Correct 13 ms 21848 KB Output is correct
4 Correct 11 ms 21852 KB Output is correct
5 Correct 12 ms 21852 KB Output is correct
6 Correct 12 ms 21848 KB Output is correct
7 Correct 12 ms 21852 KB Output is correct
8 Correct 12 ms 21852 KB Output is correct
9 Correct 12 ms 21852 KB Output is correct
10 Correct 12 ms 21852 KB Output is correct
11 Correct 12 ms 21704 KB Output is correct
12 Correct 12 ms 21852 KB Output is correct
13 Correct 11 ms 21852 KB Output is correct
14 Correct 12 ms 21848 KB Output is correct
15 Correct 12 ms 21852 KB Output is correct
16 Correct 11 ms 21852 KB Output is correct
17 Correct 12 ms 21856 KB Output is correct
18 Correct 12 ms 21852 KB Output is correct
19 Correct 11 ms 21976 KB Output is correct
20 Correct 12 ms 21860 KB Output is correct
21 Correct 12 ms 21856 KB Output is correct
22 Correct 11 ms 21852 KB Output is correct
23 Correct 12 ms 21852 KB Output is correct
24 Correct 11 ms 21852 KB Output is correct
25 Correct 12 ms 21852 KB Output is correct
26 Correct 12 ms 21852 KB Output is correct
27 Correct 11 ms 21852 KB Output is correct
28 Correct 12 ms 21704 KB Output is correct
29 Correct 12 ms 21860 KB Output is correct
30 Correct 12 ms 21852 KB Output is correct
31 Correct 12 ms 21856 KB Output is correct
32 Correct 12 ms 21700 KB Output is correct
33 Correct 12 ms 21852 KB Output is correct
34 Correct 12 ms 21852 KB Output is correct
35 Correct 50 ms 23748 KB Output is correct
36 Correct 60 ms 23888 KB Output is correct
37 Correct 66 ms 24000 KB Output is correct
38 Correct 56 ms 23768 KB Output is correct
39 Correct 50 ms 23728 KB Output is correct
40 Correct 55 ms 23896 KB Output is correct
41 Correct 59 ms 23740 KB Output is correct
42 Correct 54 ms 23764 KB Output is correct
43 Correct 54 ms 23740 KB Output is correct
44 Correct 50 ms 23892 KB Output is correct
45 Correct 51 ms 23736 KB Output is correct
46 Correct 49 ms 23892 KB Output is correct
47 Correct 51 ms 23892 KB Output is correct
48 Correct 61 ms 23888 KB Output is correct
49 Correct 63 ms 23892 KB Output is correct
50 Correct 64 ms 23888 KB Output is correct
51 Correct 63 ms 23756 KB Output is correct
52 Correct 68 ms 23892 KB Output is correct
53 Correct 77 ms 23892 KB Output is correct
54 Correct 64 ms 23892 KB Output is correct
55 Correct 66 ms 23892 KB Output is correct
56 Correct 67 ms 23988 KB Output is correct
57 Correct 68 ms 23748 KB Output is correct
58 Correct 73 ms 23744 KB Output is correct
59 Correct 67 ms 23892 KB Output is correct
60 Correct 67 ms 23888 KB Output is correct
61 Correct 12 ms 21852 KB Output is correct
62 Correct 12 ms 21852 KB Output is correct
63 Correct 12 ms 21852 KB Output is correct
64 Correct 13 ms 21852 KB Output is correct
65 Correct 46 ms 23756 KB Output is correct
66 Correct 36 ms 23888 KB Output is correct
67 Correct 68 ms 23892 KB Output is correct
68 Correct 18 ms 21852 KB Output is correct
69 Correct 12 ms 21852 KB Output is correct
70 Correct 13 ms 21852 KB Output is correct
71 Correct 12 ms 21852 KB Output is correct