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Submission #412231

# Submission time Handle Problem Language Result Execution time Memory
412231 2021-05-26T15:52:51 Z Theo830 Exam (eJOI20_exam) C++17
77 / 100
 162 ms 98604 KB 
    #include <bits/stdc++.h>
    using namespace std;
    typedef int ll;
    ll INF = 1e9+7;
    ll MOD = 998244353;
    typedef pair<ll,ll> ii;
    #define iii pair<ii,ll>
    #define f(i,a,b) for(ll i = a;i < b;i++)
    #define pb push_back
    #define vll vector<ll>
    #define F first
    #define S second
    #define all(x) (x).begin(), (x).end()
    ///I hope I will get uprating and don't make mistakes
    ///I will never stop programming
    ///sqrt(-1) Love C++
    ///Please don't hack me
    ///@TheofanisOrfanou Theo830
    ///Think different approaches (bs,dp,greedy,graphs,shortest paths,mst)
    ///Stay Calm
    ///Look for special cases
    ///Beware of overflow and array bounds
    ///Think the problem backwards
    ///Training
    ll seg[400005]={0};
    void update(ll s,ll e,ll qs,ll qe,ll idx,ll k){
        if(s == e && s == qs){
            seg[idx] = max(seg[idx],k);
            return;
        }
        if(qs > e || qe < s){
            return;
        }
        ll mid = (s+e)/2;
        update(s,mid,qs,qe,idx*2,k);
        update(mid+1,e,qs,qe,idx*2+1,k);
        seg[idx] = max(seg[idx*2],seg[idx*2+1]);
    }
    ll query(ll s,ll e,ll qs,ll qe,ll idx){
        if(qs <= s && e <= qe){
            return seg[idx];
        }
        if(qs > e || qe < s){
            return 0;
        }
        ll mid = (s+e)/2;
        ll a = query(s,mid,qs,qe,idx*2);
        ll b = query(mid+1,e,qs,qe,idx*2+1);
        return max(a,b);
    }
    int main(void){
        ios_base::sync_with_stdio(0);
        cin.tie(0);
        cout.tie(0);
        ll n;
        cin>>n;
        ll a[n],b[n];
        map<ll,ll>mp;
        bool ok1 = 1,ok2 = 1;
        f(i,0,n){
            cin>>a[i];
            if(mp[a[i]] == 1){
                ok1 = 0;
            }
            mp[a[i]]++;
        }
        f(i,0,n){
            cin>>b[i];
            if(b[i] != b[0]){
                ok2 = 0;
            }
        }
      	if(ok2){
            ll ans = 0;
            ll ok = 0;
            ll posa = 0;
            f(i,0,n){
                if(a[i] > b[0]){
                    ans += posa * ok;
                    ok = 0;
                    posa = 0;
                }
                else{
                    posa++;
                    ok |= (a[i] == b[0]);
                }
            }
            ans += posa * ok;
            cout<<ans<<endl;
            return 0;
        }
        if(ok1 && n > 5000){
            ll l[n],r[n];
            priority_queue<ii,vector<ii>,greater<ii> >pq;
            f(i,0,n){
                pq.push(ii(a[i],i));
                while(pq.top().F < a[i]){
                    r[pq.top().S] = i-1;
                    pq.pop();
                }
            }
            while(!pq.empty()){
                r[pq.top().S] = n-1;
                pq.pop();
            }
            for(ll i=n-1;i >= 0;i--){
                pq.push(ii(a[i],i));
                while(pq.top().F < a[i]){
                    l[pq.top().S] = i+1;
                    pq.pop();
                }
            }
            while(!pq.empty()){
                l[pq.top().S] = 0;
                pq.pop();
            }
            ll ans = 0;
            ll dp[n+1];
            dp[0] = 0;
            f(i,1,n+1){
                dp[i] = 0;
                if(b[i-1] == INF || !(l[b[i-1]-1] <= i-1 && i-1 <= r[b[i-1]-1])){
                    continue;
                }
                dp[i] = query(1,n+1,1,b[i-1],1) + 1;
                update(1,n+1,b[i-1],b[i-1],1,dp[i]);
                ans = max(ans,dp[i]);
            }
            cout<<ans<<endl;
            return 0;
        }
        ll l[n],r[n];
        priority_queue<ii,vector<ii>,greater<ii> >pq;
        f(i,0,n){
            pq.push(ii(a[i],i));
            while(pq.top().F < a[i]){
                r[pq.top().S] = i-1;
                pq.pop();
            }
        }
        while(!pq.empty()){
            r[pq.top().S] = n-1;
            pq.pop();
        }
        for(ll i=n-1;i >= 0;i--){
            pq.push(ii(a[i],i));
            while(pq.top().F < a[i]){
                l[pq.top().S] = i+1;
                pq.pop();
            }
        }
        while(!pq.empty()){
            l[pq.top().S] = 0;
            pq.pop();
        }
        ll dp[n+1][n+1];
        f(i,0,n+1){
            f(j,0,n+1){
                if(i == 0 || j == 0){
                    dp[i][j] = 0;
                }
                else{
                    dp[i][j] = max(dp[i-1][j],dp[i][j-1]);
                    if(a[i-1] == b[j-1] && (l[i-1] <= j-1 && j-1 <= r[i-1])){
                        dp[i][j] = max(dp[i][j],dp[i][j-1] + 1);
                    }
                }
            }
        }
        cout<<dp[n][n]<<endl;
    }

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 6 ms 460 KB Output is correct
3 Correct 47 ms 5188 KB Output is correct
4 Correct 16 ms 1100 KB Output is correct
5 Correct 76 ms 5680 KB Output is correct
6 Correct 17 ms 1108 KB Output is correct
7 Correct 19 ms 1100 KB Output is correct
8 Correct 65 ms 3944 KB Output is correct

Subtask #3
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 2 ms 1228 KB Output is correct
3 Correct 24 ms 16144 KB Output is correct
4 Correct 132 ms 90924 KB Output is correct
5 Correct 138 ms 98604 KB Output is correct
6 Correct 140 ms 98512 KB Output is correct

Subtask #4
0 / 23.0

# Verdict Execution time Memory Grader output
1 Runtime error 5 ms 1100 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -

Subtask #5
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 460 KB Output is correct
11 Correct 1 ms 460 KB Output is correct
12 Correct 1 ms 460 KB Output is correct
13 Correct 1 ms 460 KB Output is correct
14 Correct 1 ms 460 KB Output is correct

Subtask #6
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 2 ms 1228 KB Output is correct
9 Correct 24 ms 16144 KB Output is correct
10 Correct 132 ms 90924 KB Output is correct
11 Correct 138 ms 98604 KB Output is correct
12 Correct 140 ms 98512 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 460 KB Output is correct
17 Correct 1 ms 460 KB Output is correct
18 Correct 1 ms 460 KB Output is correct
19 Correct 1 ms 460 KB Output is correct
20 Correct 1 ms 460 KB Output is correct
21 Correct 1 ms 460 KB Output is correct
22 Correct 7 ms 4172 KB Output is correct
23 Correct 2 ms 332 KB Output is correct
24 Correct 162 ms 98240 KB Output is correct
25 Correct 139 ms 98276 KB Output is correct
26 Correct 139 ms 98216 KB Output is correct
27 Correct 137 ms 98168 KB Output is correct
28 Correct 138 ms 98372 KB Output is correct
29 Correct 141 ms 98520 KB Output is correct
30 Correct 140 ms 98508 KB Output is correct
31 Correct 142 ms 98476 KB Output is correct
32 Correct 139 ms 98376 KB Output is correct