oj.uz

Submission #967959

# Submission time Handle Problem Language Result Execution time Memory
967959 2024-04-23T06:06:12 Z Darren0724 Binaria (CCO23_day1problem1) C++17
25 / 25
 363 ms 118684 KB 
#include <bits/stdc++.h>
using namespace std;
#define all(x) x.begin(),x.end()
#define ll long long 
#define LCBorz ios_base::sync_with_stdio(false);cin.tie(0);
const int N=1000005;
const int mod=1e6+3;
vector<ll> fac(N),inv(N);
ll pw(ll a,int b){
    ll ans=1;
    while(b>0){
        if(b&1)ans=ans*a%mod;
        b>>=1;
        a=a*a%mod;
    }
    return ans;
}
int32_t main(){
    LCBorz;
    fac[0]=inv[0]=1;
    for(int i=1;i<N;i++){
        fac[i]=fac[i-1]*i%mod;
        inv[i]=pw(fac[i],mod-2);
    }
    int n,m;cin>>n>>m;
    int p=n-m+1;
    vector<int> v(p);
    for(int i=0;i<p;i++){
        cin>>v[i];
        if(v[i]>m){
            cout<<0<<endl;
            return 0;
        }
    }
    vector<int> ans(n,-1),vis(n,0);
    auto upd=[&](int i,int j){
        if(ans[i]==-1){
            ans[i]=j;
        }
        else if(ans[i]!=j){
            cout<<0<<endl;
            exit(0);
        }
    };
    vector<int> adj[N];
    auto dfs=[&](auto dfs1,int k,int pa,int val)->void {
        vis[k]=1;
        upd(k,val);
        for(int j:adj[k]){
            if(j==pa)continue;
            dfs1(dfs1,j,k,val);
        }
    }; 
    for(int i=0;i<p-1;i++){
        if(abs(v[i]-v[i+1])>1){
            cout<<0<<endl;
            return 0;
        }
        if(v[i]==v[i+1]+1){
            upd(i,1);
            upd(i+m,0);
        }
        else if(v[i]==v[i+1]-1){
            upd(i,0);
            upd(i+m,1);
        }
        else{
            adj[i].push_back(i+m);
            adj[i+m].push_back(i);
        }
    }
    for(int i=0;i<n;i++){
        if(ans[i]!=-1&&vis[i]==0){
            dfs(dfs,i,i,ans[i]);
        }
    }
    int a=0,b=v[0];
    for(int i=0;i<m;i++){
        if(ans[i]==-1){
            a++;
        }
        if(ans[i]==1){
            b--;
        }
    }
    if(b>a||b<0){
        cout<<0<<endl;
        return 0;
    }
    cout<<fac[a]*inv[b]%mod*inv[a-b]%mod<<endl;

    return 0;
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 105 ms 39580 KB Output is correct
2 Correct 106 ms 39516 KB Output is correct
3 Correct 105 ms 39584 KB Output is correct
4 Correct 105 ms 39516 KB Output is correct
5 Correct 105 ms 39576 KB Output is correct
6 Correct 110 ms 39580 KB Output is correct
7 Correct 106 ms 39764 KB Output is correct
8 Correct 106 ms 39580 KB Output is correct
9 Correct 106 ms 39512 KB Output is correct
10 Correct 105 ms 39516 KB Output is correct
11 Correct 106 ms 39760 KB Output is correct
12 Correct 105 ms 39584 KB Output is correct

Subtask #2
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 105 ms 39580 KB Output is correct
2 Correct 106 ms 39516 KB Output is correct
3 Correct 105 ms 39584 KB Output is correct
4 Correct 105 ms 39516 KB Output is correct
5 Correct 105 ms 39576 KB Output is correct
6 Correct 110 ms 39580 KB Output is correct
7 Correct 106 ms 39764 KB Output is correct
8 Correct 106 ms 39580 KB Output is correct
9 Correct 106 ms 39512 KB Output is correct
10 Correct 105 ms 39516 KB Output is correct
11 Correct 106 ms 39760 KB Output is correct
12 Correct 105 ms 39584 KB Output is correct
13 Correct 106 ms 39600 KB Output is correct
14 Correct 106 ms 39516 KB Output is correct
15 Correct 106 ms 39580 KB Output is correct
16 Correct 108 ms 39584 KB Output is correct
17 Correct 107 ms 39516 KB Output is correct
18 Correct 105 ms 39580 KB Output is correct
19 Correct 107 ms 39516 KB Output is correct
20 Correct 105 ms 39584 KB Output is correct
21 Correct 106 ms 39768 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 105 ms 39580 KB Output is correct
2 Correct 106 ms 39516 KB Output is correct
3 Correct 105 ms 39584 KB Output is correct
4 Correct 105 ms 39516 KB Output is correct
5 Correct 105 ms 39576 KB Output is correct
6 Correct 110 ms 39580 KB Output is correct
7 Correct 106 ms 39764 KB Output is correct
8 Correct 106 ms 39580 KB Output is correct
9 Correct 106 ms 39512 KB Output is correct
10 Correct 105 ms 39516 KB Output is correct
11 Correct 106 ms 39760 KB Output is correct
12 Correct 105 ms 39584 KB Output is correct
13 Correct 106 ms 39600 KB Output is correct
14 Correct 106 ms 39516 KB Output is correct
15 Correct 106 ms 39580 KB Output is correct
16 Correct 108 ms 39584 KB Output is correct
17 Correct 107 ms 39516 KB Output is correct
18 Correct 105 ms 39580 KB Output is correct
19 Correct 107 ms 39516 KB Output is correct
20 Correct 105 ms 39584 KB Output is correct
21 Correct 106 ms 39768 KB Output is correct
22 Correct 105 ms 39588 KB Output is correct
23 Correct 107 ms 39580 KB Output is correct
24 Correct 107 ms 39512 KB Output is correct
25 Correct 106 ms 39600 KB Output is correct
26 Correct 105 ms 39516 KB Output is correct
27 Correct 105 ms 39516 KB Output is correct
28 Correct 106 ms 39764 KB Output is correct
29 Correct 105 ms 39584 KB Output is correct
30 Correct 105 ms 39516 KB Output is correct
31 Correct 104 ms 39600 KB Output is correct
32 Correct 105 ms 39588 KB Output is correct
33 Correct 105 ms 39580 KB Output is correct
34 Correct 108 ms 39584 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 105 ms 39580 KB Output is correct
2 Correct 106 ms 39516 KB Output is correct
3 Correct 105 ms 39584 KB Output is correct
4 Correct 105 ms 39516 KB Output is correct
5 Correct 105 ms 39576 KB Output is correct
6 Correct 110 ms 39580 KB Output is correct
7 Correct 106 ms 39764 KB Output is correct
8 Correct 106 ms 39580 KB Output is correct
9 Correct 106 ms 39512 KB Output is correct
10 Correct 105 ms 39516 KB Output is correct
11 Correct 106 ms 39760 KB Output is correct
12 Correct 105 ms 39584 KB Output is correct
13 Correct 106 ms 39600 KB Output is correct
14 Correct 106 ms 39516 KB Output is correct
15 Correct 106 ms 39580 KB Output is correct
16 Correct 108 ms 39584 KB Output is correct
17 Correct 107 ms 39516 KB Output is correct
18 Correct 105 ms 39580 KB Output is correct
19 Correct 107 ms 39516 KB Output is correct
20 Correct 105 ms 39584 KB Output is correct
21 Correct 106 ms 39768 KB Output is correct
22 Correct 105 ms 39588 KB Output is correct
23 Correct 107 ms 39580 KB Output is correct
24 Correct 107 ms 39512 KB Output is correct
25 Correct 106 ms 39600 KB Output is correct
26 Correct 105 ms 39516 KB Output is correct
27 Correct 105 ms 39516 KB Output is correct
28 Correct 106 ms 39764 KB Output is correct
29 Correct 105 ms 39584 KB Output is correct
30 Correct 105 ms 39516 KB Output is correct
31 Correct 104 ms 39600 KB Output is correct
32 Correct 105 ms 39588 KB Output is correct
33 Correct 105 ms 39580 KB Output is correct
34 Correct 108 ms 39584 KB Output is correct
35 Correct 224 ms 82588 KB Output is correct
36 Correct 363 ms 82004 KB Output is correct
37 Correct 304 ms 84996 KB Output is correct
38 Correct 241 ms 85676 KB Output is correct
39 Correct 213 ms 83924 KB Output is correct
40 Correct 225 ms 84304 KB Output is correct
41 Correct 315 ms 85332 KB Output is correct
42 Correct 239 ms 85192 KB Output is correct
43 Correct 238 ms 85416 KB Output is correct
44 Correct 210 ms 83796 KB Output is correct
45 Correct 239 ms 118684 KB Output is correct
46 Correct 216 ms 83864 KB Output is correct
47 Correct 212 ms 83868 KB Output is correct
48 Correct 219 ms 84288 KB Output is correct
49 Correct 261 ms 86096 KB Output is correct

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 105 ms 39580 KB Output is correct
2 Correct 106 ms 39516 KB Output is correct
3 Correct 105 ms 39584 KB Output is correct
4 Correct 105 ms 39516 KB Output is correct
5 Correct 105 ms 39576 KB Output is correct
6 Correct 110 ms 39580 KB Output is correct
7 Correct 106 ms 39764 KB Output is correct
8 Correct 106 ms 39580 KB Output is correct
9 Correct 106 ms 39512 KB Output is correct
10 Correct 105 ms 39516 KB Output is correct
11 Correct 106 ms 39760 KB Output is correct
12 Correct 105 ms 39584 KB Output is correct
13 Correct 106 ms 39600 KB Output is correct
14 Correct 106 ms 39516 KB Output is correct
15 Correct 106 ms 39580 KB Output is correct
16 Correct 108 ms 39584 KB Output is correct
17 Correct 107 ms 39516 KB Output is correct
18 Correct 105 ms 39580 KB Output is correct
19 Correct 107 ms 39516 KB Output is correct
20 Correct 105 ms 39584 KB Output is correct
21 Correct 106 ms 39768 KB Output is correct
22 Correct 105 ms 39588 KB Output is correct
23 Correct 107 ms 39580 KB Output is correct
24 Correct 107 ms 39512 KB Output is correct
25 Correct 106 ms 39600 KB Output is correct
26 Correct 105 ms 39516 KB Output is correct
27 Correct 105 ms 39516 KB Output is correct
28 Correct 106 ms 39764 KB Output is correct
29 Correct 105 ms 39584 KB Output is correct
30 Correct 105 ms 39516 KB Output is correct
31 Correct 104 ms 39600 KB Output is correct
32 Correct 105 ms 39588 KB Output is correct
33 Correct 105 ms 39580 KB Output is correct
34 Correct 108 ms 39584 KB Output is correct
35 Correct 224 ms 82588 KB Output is correct
36 Correct 363 ms 82004 KB Output is correct
37 Correct 304 ms 84996 KB Output is correct
38 Correct 241 ms 85676 KB Output is correct
39 Correct 213 ms 83924 KB Output is correct
40 Correct 225 ms 84304 KB Output is correct
41 Correct 315 ms 85332 KB Output is correct
42 Correct 239 ms 85192 KB Output is correct
43 Correct 238 ms 85416 KB Output is correct
44 Correct 210 ms 83796 KB Output is correct
45 Correct 239 ms 118684 KB Output is correct
46 Correct 216 ms 83864 KB Output is correct
47 Correct 212 ms 83868 KB Output is correct
48 Correct 219 ms 84288 KB Output is correct
49 Correct 261 ms 86096 KB Output is correct
50 Correct 227 ms 85332 KB Output is correct
51 Correct 239 ms 85644 KB Output is correct
52 Correct 248 ms 85272 KB Output is correct
53 Correct 335 ms 83260 KB Output is correct
54 Correct 283 ms 85208 KB Output is correct
55 Correct 227 ms 85232 KB Output is correct
56 Correct 241 ms 85152 KB Output is correct
57 Correct 306 ms 83540 KB Output is correct
58 Correct 233 ms 85720 KB Output is correct
59 Correct 270 ms 84816 KB Output is correct
60 Correct 334 ms 83616 KB Output is correct

Subtask #6
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 105 ms 39580 KB Output is correct
2 Correct 106 ms 39516 KB Output is correct
3 Correct 105 ms 39584 KB Output is correct
4 Correct 105 ms 39516 KB Output is correct
5 Correct 105 ms 39576 KB Output is correct
6 Correct 110 ms 39580 KB Output is correct
7 Correct 106 ms 39764 KB Output is correct
8 Correct 106 ms 39580 KB Output is correct
9 Correct 106 ms 39512 KB Output is correct
10 Correct 105 ms 39516 KB Output is correct
11 Correct 106 ms 39760 KB Output is correct
12 Correct 105 ms 39584 KB Output is correct
13 Correct 106 ms 39600 KB Output is correct
14 Correct 106 ms 39516 KB Output is correct
15 Correct 106 ms 39580 KB Output is correct
16 Correct 108 ms 39584 KB Output is correct
17 Correct 107 ms 39516 KB Output is correct
18 Correct 105 ms 39580 KB Output is correct
19 Correct 107 ms 39516 KB Output is correct
20 Correct 105 ms 39584 KB Output is correct
21 Correct 106 ms 39768 KB Output is correct
22 Correct 105 ms 39588 KB Output is correct
23 Correct 107 ms 39580 KB Output is correct
24 Correct 107 ms 39512 KB Output is correct
25 Correct 106 ms 39600 KB Output is correct
26 Correct 105 ms 39516 KB Output is correct
27 Correct 105 ms 39516 KB Output is correct
28 Correct 106 ms 39764 KB Output is correct
29 Correct 105 ms 39584 KB Output is correct
30 Correct 105 ms 39516 KB Output is correct
31 Correct 104 ms 39600 KB Output is correct
32 Correct 105 ms 39588 KB Output is correct
33 Correct 105 ms 39580 KB Output is correct
34 Correct 108 ms 39584 KB Output is correct
35 Correct 224 ms 82588 KB Output is correct
36 Correct 363 ms 82004 KB Output is correct
37 Correct 304 ms 84996 KB Output is correct
38 Correct 241 ms 85676 KB Output is correct
39 Correct 213 ms 83924 KB Output is correct
40 Correct 225 ms 84304 KB Output is correct
41 Correct 315 ms 85332 KB Output is correct
42 Correct 239 ms 85192 KB Output is correct
43 Correct 238 ms 85416 KB Output is correct
44 Correct 210 ms 83796 KB Output is correct
45 Correct 239 ms 118684 KB Output is correct
46 Correct 216 ms 83864 KB Output is correct
47 Correct 212 ms 83868 KB Output is correct
48 Correct 219 ms 84288 KB Output is correct
49 Correct 261 ms 86096 KB Output is correct
50 Correct 227 ms 85332 KB Output is correct
51 Correct 239 ms 85644 KB Output is correct
52 Correct 248 ms 85272 KB Output is correct
53 Correct 335 ms 83260 KB Output is correct
54 Correct 283 ms 85208 KB Output is correct
55 Correct 227 ms 85232 KB Output is correct
56 Correct 241 ms 85152 KB Output is correct
57 Correct 306 ms 83540 KB Output is correct
58 Correct 233 ms 85720 KB Output is correct
59 Correct 270 ms 84816 KB Output is correct
60 Correct 334 ms 83616 KB Output is correct
61 Correct 109 ms 47188 KB Output is correct
62 Correct 116 ms 47416 KB Output is correct
63 Correct 113 ms 47188 KB Output is correct
64 Correct 109 ms 47184 KB Output is correct
65 Correct 179 ms 81324 KB Output is correct
66 Correct 160 ms 67480 KB Output is correct
67 Correct 241 ms 80796 KB Output is correct
68 Correct 120 ms 53664 KB Output is correct
69 Correct 109 ms 47184 KB Output is correct
70 Correct 110 ms 47264 KB Output is correct
71 Correct 109 ms 47256 KB Output is correct