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Submission #551905

# Submission time Handle Problem Language Result Execution time Memory
551905 2022-04-21T21:00:09 Z Lobo Abduction 2 (JOI17_abduction2) C++17
44 / 100
 1964 ms 524288 KB 
#include<bits/stdc++.h>
using namespace std;

const long long inf = (long long) 1e18 + 10;
const int inf1 = (int) 1e9 + 10;
#define int long long
#define dbl long double
#define endl '\n'
#define sc second
#define fr first
#define mp make_pair
#define pb push_back
#define all(x) x.begin(), x.end()

const int maxn = 5e4+10;

int n, m, q, a[maxn], b[maxn];
map<int,int> mark[maxn][5], dp[maxn][5];
pair<int,int> mxalf[maxn][25], mxarg[maxn][25], mxblf[maxn][25], mxbrg[maxn][25];

//ver com 32 tambem
int mxblr(int l, int r) {
    if(l > r) return -1;
    int lg = 31-__builtin_clz(r-l+1);
    auto ans = max(mxbrg[l][lg],mxblf[r][lg]);
    return ans.fr;
}
int mxalr(int l, int r) {
    if(l > r) return -1;
    int lg = 31-__builtin_clz(r-l+1);
    auto ans = max(mxarg[l][lg],mxalf[r][lg]);
    return ans.fr;
}
    
//0 -> x aumenta, 1 -> x diminui e dobra para vertical
//2 -> y aumenta, 3 -> y diminui
//x -> M e y-> N
int cnt = 0;
int sol(int y, int x, int dir) {
    if(mark[y][dir][x]) return dp[y][dir][x];
    mark[y][dir][x] = 1;


    if(dir == 0) {
        //vou para um (x1,y) que b[x1] > a[y] e x1 > x
        if(mxblr(x+1,m) < a[y]) {
            return dp[y][dir][x] = m-x;
        }

        int l = x+1;
        int r = m;
        int ans = -1;

        while(l <= r) {
            int mid = (l+r)/2;

            if(mxblr(x+1,mid) >= a[y]) {
                ans = mid;
                r = mid-1;
            }
            else {
                l = mid+1;
            }
        }

        return dp[y][dir][x] = ans-x+max(sol(y,ans,2),sol(y,ans,3));
    }
    else if(dir == 1) {
        //vou para um (x1,y) que b[x1] > a[y] e x1 < x
        if(mxblr(1,x-1) < a[y]) {
            return dp[y][dir][x] = x-1;
        }

        int l = 1;
        int r = x-1;
        int ans = -1;

        while(l <= r) {
            int mid = (l+r)/2;

            if(mxblr(mid,x-1) >= a[y]) {
                ans = mid;
                l = mid+1;
            }
            else {
                r = mid-1;
            }
        }

        return dp[y][dir][x] = x-ans+max(sol(y,ans,2),sol(y,ans,3));
    }
    else if(dir == 2) {
        //vou para um (x,y1) que a[y1] > b[x] e y1 > y
        if(mxalr(y+1,n) < b[x]) {
            return dp[y][dir][x] = n-y;
        }

        int l = y+1;
        int r = n;
        int ans = -1;

        while(l <= r) {
            int mid = (l+r)/2;

            if(mxalr(y+1,mid) >= b[x]) {
                ans = mid;
                r = mid-1;
            }
            else {
                l = mid+1;
            }
        }

        return dp[y][dir][x] = ans-y+max(sol(ans,x,0),sol(ans,x,1));
    }
    else {
        //vou para um (x,y1) que a[y1] > b[x] e y1 < y
        if(mxalr(1,y-1) < b[x]) {
            return dp[y][dir][x] = y-1;
        }

        int l = 1;
        int r = y-1;
        int ans = -1;

        while(l <= r) {
            int mid = (l+r)/2;

            if(mxalr(mid,y-1) >= b[x]) {
                ans = mid;
                l = mid+1;
            }
            else {
                r = mid-1;
            }
        }

        return dp[y][dir][x] = y-ans+max(sol(ans,x,0),sol(ans,x,1));
    }
}



void solve() {
    cin >> n >> m >> q;

    for(int i = 1; i <= n; i++) {
        cin >> a[i];
        mxalf[i][0] = mxarg[i][0] = mp(a[i],i);
    }
    for(int i = 1; i <= m; i++) {
        cin >> b[i];
        mxblf[i][0] = mxbrg[i][0] = mp(b[i],i);
    }

    for(int pt = 1; pt <= 20; pt++) {
        for(int i = 1; i <= n; i++) {
            mxalf[i][pt] = max(mxalf[i][pt-1],mxalf[max(1LL,i-(1<<(pt-1)))][pt-1]);
        }
    }

    for(int pt = 1; pt <= 20; pt++) {
        for(int i = 1; i <= n; i++) {
            mxarg[i][pt] = max(mxarg[i][pt-1],mxarg[min(n,i+(1<<(pt-1)))][pt-1]);
        }
    }

    for(int pt = 1; pt <= 20; pt++) {
        for(int i = 1; i <= m; i++) {
            mxblf[i][pt] = max(mxblf[i][pt-1],mxblf[max(1LL,i-(1<<(pt-1)))][pt-1]);
        }
    }

    for(int pt = 1; pt <= 20; pt++) {
        for(int i = 1; i <= m; i++) {
            mxbrg[i][pt] = max(mxbrg[i][pt-1],mxbrg[min(m,i+(1<<(pt-1)))][pt-1]);
        }
    }

    while(q--) {
        int y,x;
        cin >> y >> x;
        cout << max({sol(y,x,0),sol(y,x,1),sol(y,x,2),sol(y,x,3)}) << endl;
    }

}

int32_t main() {
    ios::sync_with_stdio(false); cin.tie(0);

    // freopen("in.in", "r", stdin);
    // freopen("out.out", "w", stdout);
    
    int tt = 1;
    // cin >> tt;
    while(tt--) {
        solve();
    }

}

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 23764 KB Output is correct
2 Correct 14 ms 23808 KB Output is correct
3 Correct 12 ms 23764 KB Output is correct
4 Correct 13 ms 23796 KB Output is correct
5 Correct 13 ms 23764 KB Output is correct
6 Correct 12 ms 23764 KB Output is correct
7 Correct 12 ms 23756 KB Output is correct
8 Correct 13 ms 23744 KB Output is correct
9 Correct 12 ms 23864 KB Output is correct
10 Correct 13 ms 23748 KB Output is correct
11 Correct 12 ms 23764 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 23764 KB Output is correct
2 Correct 14 ms 23808 KB Output is correct
3 Correct 12 ms 23764 KB Output is correct
4 Correct 13 ms 23796 KB Output is correct
5 Correct 13 ms 23764 KB Output is correct
6 Correct 12 ms 23764 KB Output is correct
7 Correct 12 ms 23756 KB Output is correct
8 Correct 13 ms 23744 KB Output is correct
9 Correct 12 ms 23864 KB Output is correct
10 Correct 13 ms 23748 KB Output is correct
11 Correct 12 ms 23764 KB Output is correct
12 Correct 14 ms 26964 KB Output is correct
13 Correct 14 ms 27016 KB Output is correct
14 Correct 16 ms 26940 KB Output is correct
15 Correct 15 ms 26964 KB Output is correct
16 Correct 15 ms 26944 KB Output is correct
17 Correct 14 ms 26964 KB Output is correct
18 Correct 18 ms 26984 KB Output is correct
19 Correct 17 ms 27704 KB Output is correct
20 Correct 18 ms 27940 KB Output is correct
21 Correct 15 ms 27732 KB Output is correct
22 Correct 19 ms 28532 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 23764 KB Output is correct
2 Correct 14 ms 23808 KB Output is correct
3 Correct 12 ms 23764 KB Output is correct
4 Correct 13 ms 23796 KB Output is correct
5 Correct 13 ms 23764 KB Output is correct
6 Correct 12 ms 23764 KB Output is correct
7 Correct 12 ms 23756 KB Output is correct
8 Correct 13 ms 23744 KB Output is correct
9 Correct 12 ms 23864 KB Output is correct
10 Correct 13 ms 23748 KB Output is correct
11 Correct 12 ms 23764 KB Output is correct
12 Correct 14 ms 26964 KB Output is correct
13 Correct 14 ms 27016 KB Output is correct
14 Correct 16 ms 26940 KB Output is correct
15 Correct 15 ms 26964 KB Output is correct
16 Correct 15 ms 26944 KB Output is correct
17 Correct 14 ms 26964 KB Output is correct
18 Correct 18 ms 26984 KB Output is correct
19 Correct 17 ms 27704 KB Output is correct
20 Correct 18 ms 27940 KB Output is correct
21 Correct 15 ms 27732 KB Output is correct
22 Correct 19 ms 28532 KB Output is correct
23 Correct 81 ms 103732 KB Output is correct
24 Correct 76 ms 103836 KB Output is correct
25 Correct 79 ms 103764 KB Output is correct
26 Correct 82 ms 103852 KB Output is correct
27 Correct 93 ms 103840 KB Output is correct
28 Correct 107 ms 115568 KB Output is correct
29 Correct 79 ms 105432 KB Output is correct
30 Correct 166 ms 124560 KB Output is correct
31 Correct 173 ms 130556 KB Output is correct
32 Correct 76 ms 104092 KB Output is correct
33 Correct 101 ms 110100 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 27656 KB Output is correct
2 Correct 17 ms 27604 KB Output is correct
3 Correct 18 ms 27604 KB Output is correct
4 Correct 18 ms 27648 KB Output is correct
5 Correct 16 ms 27604 KB Output is correct
6 Correct 15 ms 27732 KB Output is correct
7 Correct 16 ms 27644 KB Output is correct
8 Correct 21 ms 28604 KB Output is correct
9 Correct 24 ms 28548 KB Output is correct
10 Correct 21 ms 28500 KB Output is correct
11 Correct 21 ms 28948 KB Output is correct

Subtask #5
0 / 56.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 23764 KB Output is correct
2 Correct 14 ms 23808 KB Output is correct
3 Correct 12 ms 23764 KB Output is correct
4 Correct 13 ms 23796 KB Output is correct
5 Correct 13 ms 23764 KB Output is correct
6 Correct 12 ms 23764 KB Output is correct
7 Correct 12 ms 23756 KB Output is correct
8 Correct 13 ms 23744 KB Output is correct
9 Correct 12 ms 23864 KB Output is correct
10 Correct 13 ms 23748 KB Output is correct
11 Correct 12 ms 23764 KB Output is correct
12 Correct 14 ms 26964 KB Output is correct
13 Correct 14 ms 27016 KB Output is correct
14 Correct 16 ms 26940 KB Output is correct
15 Correct 15 ms 26964 KB Output is correct
16 Correct 15 ms 26944 KB Output is correct
17 Correct 14 ms 26964 KB Output is correct
18 Correct 18 ms 26984 KB Output is correct
19 Correct 17 ms 27704 KB Output is correct
20 Correct 18 ms 27940 KB Output is correct
21 Correct 15 ms 27732 KB Output is correct
22 Correct 19 ms 28532 KB Output is correct
23 Correct 81 ms 103732 KB Output is correct
24 Correct 76 ms 103836 KB Output is correct
25 Correct 79 ms 103764 KB Output is correct
26 Correct 82 ms 103852 KB Output is correct
27 Correct 93 ms 103840 KB Output is correct
28 Correct 107 ms 115568 KB Output is correct
29 Correct 79 ms 105432 KB Output is correct
30 Correct 166 ms 124560 KB Output is correct
31 Correct 173 ms 130556 KB Output is correct
32 Correct 76 ms 104092 KB Output is correct
33 Correct 101 ms 110100 KB Output is correct
34 Correct 24 ms 27656 KB Output is correct
35 Correct 17 ms 27604 KB Output is correct
36 Correct 18 ms 27604 KB Output is correct
37 Correct 18 ms 27648 KB Output is correct
38 Correct 16 ms 27604 KB Output is correct
39 Correct 15 ms 27732 KB Output is correct
40 Correct 16 ms 27644 KB Output is correct
41 Correct 21 ms 28604 KB Output is correct
42 Correct 24 ms 28548 KB Output is correct
43 Correct 21 ms 28500 KB Output is correct
44 Correct 21 ms 28948 KB Output is correct
45 Correct 83 ms 104856 KB Output is correct
46 Correct 85 ms 104864 KB Output is correct
47 Correct 88 ms 104940 KB Output is correct
48 Correct 109 ms 104984 KB Output is correct
49 Correct 96 ms 104884 KB Output is correct
50 Correct 137 ms 117036 KB Output is correct
51 Correct 118 ms 118312 KB Output is correct
52 Correct 219 ms 141744 KB Output is correct
53 Correct 261 ms 139072 KB Output is correct
54 Correct 209 ms 137072 KB Output is correct
55 Correct 282 ms 156108 KB Output is correct
56 Runtime error 1964 ms 524288 KB Execution killed with signal 9
57 Halted 0 ms 0 KB -