oj.uz

Submission #779672

# Submission time Handle Problem Language Result Execution time Memory
779672 2023-07-11T16:00:52 Z Ahmed57 Abduction 2 (JOI17_abduction2) C++17
100 / 100
 1198 ms 267528 KB 
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math,O3")

#include <bits/stdc++.h>
using namespace std;
//dir = 0 left
//dir = 1 right
//dir = 2 up
//dir = 3 down
map<int,long long>dp[50001][4];
int n,m,q;int logg[50001];
int arr1[50001],arr2[50001];
int spar1[50001][16];
int spar2[50001][16];
int query1(int l,int r){
    int sz = r-l+1;
    return max(spar1[l][logg[sz]],spar1[r-(1<<logg[sz])+1][logg[sz]]);
}
int query2(int l,int r){
    int sz = r-l+1;
    return max(spar2[l][logg[sz]],spar2[r-(1<<logg[sz])+1][logg[sz]]);
}
long long solve(int x,int y,int dir){
    if(x<0||x>=n||y<0||y>=m)return -1;
    //cout<<x<<" "<<y<<" "<<dir<<endl;
    if(dp[x][dir].count(y)!=0)return dp[x][dir][y];
    //cout<<x<<" "<<y<<" "<<dir<<endl;
    if(dir==0){
        int l = 0, r = y , ans = -1;
        while(l<=r){
            int mid = (l+r)/2;
            if(query2(mid,y)>arr1[x]){
                ans = mid;
                l = mid+1;
            }else r = mid-1;
        }
        //cout<<y<<" "<<ans<<" "<<dir<<endl;
        if(ans!=-1){
            long long c1 = 0;
            c1 = max(c1,solve(x-1,ans,2)+1);
            c1 = max(c1,solve(x+1,ans,3)+1);
            return dp[x][dir][y] = c1+(y-ans);
        }else{
            return dp[x][dir][y] = y;
        }
    }if(dir==1){
        int l = y, r = m-1 , ans = -1;
        while(l<=r){
            int mid = (l+r)/2;
            if(query2(y,mid)>arr1[x]){
                ans = mid;
                r = mid-1;
            }else l = mid+1;
        }
        //cout<<y<<" "<<ans<<" "<<dir<<endl;
        if(ans!=-1){
            long long c1 = 0;
            c1 = max(c1,solve(x-1,ans,2)+1);
            c1 = max(c1,solve(x+1,ans,3)+1);
            return dp[x][dir][y] = c1+(ans-y);
        }else{
            return dp[x][dir][y] = (m-1)-y;
        }
    }if(dir==2){
        int l = 0, r = x , ans = -1;
        while(l<=r){
            int mid = (l+r)/2;
            if(query1(mid,x)>arr2[y]){
                ans = mid;
                l = mid+1;
            }else r = mid-1;
        }
        //cout<<x<<" "<<ans<<" "<<dir<<endl;
        if(ans!=-1){
            long long c1 = 0;
            c1 = max(c1,solve(ans,y-1,0)+1);
            c1 = max(c1,solve(ans,y+1,1)+1);
            return dp[x][dir][y] = c1+(x-ans);
        }else{
            return dp[x][dir][y] = x;
        }
    }if(dir==3){
        int l = x, r = n-1 , ans = -1;
        while(l<=r){
            int mid = (l+r)/2;
            if(query1(x,mid)>arr2[y]){
                ans = mid;
                r = mid-1;
            }else l = mid+1;
        }
        //cout<<x<<" "<<ans<<" "<<dir<<endl;
        if(ans!=-1){
            long long c1 = 0;
            c1 = max(c1,solve(ans,y-1,0)+1);
            c1 = max(c1,solve(ans,y+1,1)+1);
            return dp[x][dir][y] = c1+(ans-x);
        }else{
            return dp[x][dir][y] = (n-1)-x;
        }
    }
}
int main(){
    ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);
    cin>>n>>m>>q;
    for(int i = 0;i<n;i++)cin>>arr1[i];
    for(int i = 0;i<m;i++)cin>>arr2[i];
    for(int i = 0;i<n;i++)spar1[i][0] = arr1[i];
    for(int i = 0;i<m;i++)spar2[i][0] = arr2[i];
    for(int j = 1;j<16;j++){
        for(int i = 0;i<n;i++){
            if(i+(1<<j)>n)break;
            spar1[i][j] = max(spar1[i][j-1],spar1[i+(1<<(j-1))][j-1]);
        }
    }
    for(int j = 1;j<16;j++){
        for(int i = 0;i<m;i++){
            if(i+(1<<j)>m)break;
            spar2[i][j] = max(spar2[i][j-1],spar2[i+(1<<(j-1))][j-1]);
        }
    }
    logg[1] = 0;
    for(int i = 2;i<=50000;i++)logg[i] = logg[i/2]+1;
    while(q--){
        int a,b;cin>>a>>b;
        a--;b--;
        long long ans = 0;
        ans = max(ans,solve(a,b-1,0)+1);
        ans = max(ans,solve(a,b+1,1)+1);
        ans = max(ans,solve(a-1,b,2)+1);
        ans = max(ans,solve(a+1,b,3)+1);
        cout<<ans<<"\n";
    }
}

Compilation message

abduction2.cpp: In function 'long long int solve(int, int, int)':
abduction2.cpp:100:1: warning: control reaches end of non-void function [-Wreturn-type]
  100 | }
      | ^

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9852 KB Output is correct
2 Correct 4 ms 9812 KB Output is correct
3 Correct 4 ms 9812 KB Output is correct
4 Correct 5 ms 9932 KB Output is correct
5 Correct 5 ms 9812 KB Output is correct
6 Correct 4 ms 9812 KB Output is correct
7 Correct 5 ms 9868 KB Output is correct
8 Correct 4 ms 9812 KB Output is correct
9 Correct 4 ms 9856 KB Output is correct
10 Correct 4 ms 9812 KB Output is correct
11 Correct 5 ms 9812 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9852 KB Output is correct
2 Correct 4 ms 9812 KB Output is correct
3 Correct 4 ms 9812 KB Output is correct
4 Correct 5 ms 9932 KB Output is correct
5 Correct 5 ms 9812 KB Output is correct
6 Correct 4 ms 9812 KB Output is correct
7 Correct 5 ms 9868 KB Output is correct
8 Correct 4 ms 9812 KB Output is correct
9 Correct 4 ms 9856 KB Output is correct
10 Correct 4 ms 9812 KB Output is correct
11 Correct 5 ms 9812 KB Output is correct
12 Correct 5 ms 10196 KB Output is correct
13 Correct 5 ms 10196 KB Output is correct
14 Correct 5 ms 10196 KB Output is correct
15 Correct 5 ms 10196 KB Output is correct
16 Correct 6 ms 10104 KB Output is correct
17 Correct 5 ms 10128 KB Output is correct
18 Correct 5 ms 10196 KB Output is correct
19 Correct 6 ms 10452 KB Output is correct
20 Correct 6 ms 10708 KB Output is correct
21 Correct 6 ms 10560 KB Output is correct
22 Correct 6 ms 10964 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9852 KB Output is correct
2 Correct 4 ms 9812 KB Output is correct
3 Correct 4 ms 9812 KB Output is correct
4 Correct 5 ms 9932 KB Output is correct
5 Correct 5 ms 9812 KB Output is correct
6 Correct 4 ms 9812 KB Output is correct
7 Correct 5 ms 9868 KB Output is correct
8 Correct 4 ms 9812 KB Output is correct
9 Correct 4 ms 9856 KB Output is correct
10 Correct 4 ms 9812 KB Output is correct
11 Correct 5 ms 9812 KB Output is correct
12 Correct 5 ms 10196 KB Output is correct
13 Correct 5 ms 10196 KB Output is correct
14 Correct 5 ms 10196 KB Output is correct
15 Correct 5 ms 10196 KB Output is correct
16 Correct 6 ms 10104 KB Output is correct
17 Correct 5 ms 10128 KB Output is correct
18 Correct 5 ms 10196 KB Output is correct
19 Correct 6 ms 10452 KB Output is correct
20 Correct 6 ms 10708 KB Output is correct
21 Correct 6 ms 10560 KB Output is correct
22 Correct 6 ms 10964 KB Output is correct
23 Correct 18 ms 16468 KB Output is correct
24 Correct 16 ms 16540 KB Output is correct
25 Correct 17 ms 16472 KB Output is correct
26 Correct 18 ms 16596 KB Output is correct
27 Correct 17 ms 16500 KB Output is correct
28 Correct 27 ms 23708 KB Output is correct
29 Correct 18 ms 17492 KB Output is correct
30 Correct 46 ms 27592 KB Output is correct
31 Correct 58 ms 30696 KB Output is correct
32 Correct 18 ms 17044 KB Output is correct
33 Correct 24 ms 19856 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 10484 KB Output is correct
2 Correct 7 ms 10452 KB Output is correct
3 Correct 6 ms 10452 KB Output is correct
4 Correct 8 ms 10452 KB Output is correct
5 Correct 6 ms 10452 KB Output is correct
6 Correct 6 ms 10580 KB Output is correct
7 Correct 6 ms 10512 KB Output is correct
8 Correct 9 ms 10964 KB Output is correct
9 Correct 9 ms 10984 KB Output is correct
10 Correct 9 ms 10964 KB Output is correct
11 Correct 7 ms 11220 KB Output is correct

Subtask #5
56.0 / 56.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9852 KB Output is correct
2 Correct 4 ms 9812 KB Output is correct
3 Correct 4 ms 9812 KB Output is correct
4 Correct 5 ms 9932 KB Output is correct
5 Correct 5 ms 9812 KB Output is correct
6 Correct 4 ms 9812 KB Output is correct
7 Correct 5 ms 9868 KB Output is correct
8 Correct 4 ms 9812 KB Output is correct
9 Correct 4 ms 9856 KB Output is correct
10 Correct 4 ms 9812 KB Output is correct
11 Correct 5 ms 9812 KB Output is correct
12 Correct 5 ms 10196 KB Output is correct
13 Correct 5 ms 10196 KB Output is correct
14 Correct 5 ms 10196 KB Output is correct
15 Correct 5 ms 10196 KB Output is correct
16 Correct 6 ms 10104 KB Output is correct
17 Correct 5 ms 10128 KB Output is correct
18 Correct 5 ms 10196 KB Output is correct
19 Correct 6 ms 10452 KB Output is correct
20 Correct 6 ms 10708 KB Output is correct
21 Correct 6 ms 10560 KB Output is correct
22 Correct 6 ms 10964 KB Output is correct
23 Correct 18 ms 16468 KB Output is correct
24 Correct 16 ms 16540 KB Output is correct
25 Correct 17 ms 16472 KB Output is correct
26 Correct 18 ms 16596 KB Output is correct
27 Correct 17 ms 16500 KB Output is correct
28 Correct 27 ms 23708 KB Output is correct
29 Correct 18 ms 17492 KB Output is correct
30 Correct 46 ms 27592 KB Output is correct
31 Correct 58 ms 30696 KB Output is correct
32 Correct 18 ms 17044 KB Output is correct
33 Correct 24 ms 19856 KB Output is correct
34 Correct 6 ms 10484 KB Output is correct
35 Correct 7 ms 10452 KB Output is correct
36 Correct 6 ms 10452 KB Output is correct
37 Correct 8 ms 10452 KB Output is correct
38 Correct 6 ms 10452 KB Output is correct
39 Correct 6 ms 10580 KB Output is correct
40 Correct 6 ms 10512 KB Output is correct
41 Correct 9 ms 10964 KB Output is correct
42 Correct 9 ms 10984 KB Output is correct
43 Correct 9 ms 10964 KB Output is correct
44 Correct 7 ms 11220 KB Output is correct
45 Correct 22 ms 17024 KB Output is correct
46 Correct 19 ms 17060 KB Output is correct
47 Correct 19 ms 17148 KB Output is correct
48 Correct 19 ms 17108 KB Output is correct
49 Correct 19 ms 17104 KB Output is correct
50 Correct 31 ms 23828 KB Output is correct
51 Correct 31 ms 24592 KB Output is correct
52 Correct 76 ms 35936 KB Output is correct
53 Correct 72 ms 35136 KB Output is correct
54 Correct 68 ms 34044 KB Output is correct
55 Correct 88 ms 43572 KB Output is correct
56 Correct 1198 ms 267528 KB Output is correct
57 Correct 239 ms 81992 KB Output is correct
58 Correct 293 ms 78792 KB Output is correct
59 Correct 231 ms 78332 KB Output is correct