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Submission #551940

# Submission time Handle Problem Language Result Execution time Memory
551940 2022-04-21T23:11:32 Z Lobo Abduction 2 (JOI17_abduction2) C++17
44 / 100
 261 ms 115652 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,long long> 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(1,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(1,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 11 ms 23848 KB Output is correct
3 Correct 12 ms 23732 KB Output is correct
4 Correct 14 ms 23892 KB Output is correct
5 Correct 12 ms 23764 KB Output is correct
6 Correct 13 ms 23852 KB Output is correct
7 Correct 11 ms 23764 KB Output is correct
8 Correct 11 ms 23764 KB Output is correct
9 Correct 11 ms 23776 KB Output is correct
10 Correct 12 ms 23768 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 11 ms 23848 KB Output is correct
3 Correct 12 ms 23732 KB Output is correct
4 Correct 14 ms 23892 KB Output is correct
5 Correct 12 ms 23764 KB Output is correct
6 Correct 13 ms 23852 KB Output is correct
7 Correct 11 ms 23764 KB Output is correct
8 Correct 11 ms 23764 KB Output is correct
9 Correct 11 ms 23776 KB Output is correct
10 Correct 12 ms 23768 KB Output is correct
11 Correct 12 ms 23764 KB Output is correct
12 Correct 13 ms 25368 KB Output is correct
13 Correct 14 ms 25368 KB Output is correct
14 Correct 16 ms 25428 KB Output is correct
15 Correct 13 ms 25408 KB Output is correct
16 Correct 14 ms 25484 KB Output is correct
17 Correct 14 ms 25428 KB Output is correct
18 Correct 13 ms 25516 KB Output is correct
19 Correct 15 ms 26088 KB Output is correct
20 Correct 16 ms 26452 KB Output is correct
21 Correct 15 ms 26160 KB Output is correct
22 Correct 17 ms 26948 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 11 ms 23848 KB Output is correct
3 Correct 12 ms 23732 KB Output is correct
4 Correct 14 ms 23892 KB Output is correct
5 Correct 12 ms 23764 KB Output is correct
6 Correct 13 ms 23852 KB Output is correct
7 Correct 11 ms 23764 KB Output is correct
8 Correct 11 ms 23764 KB Output is correct
9 Correct 11 ms 23776 KB Output is correct
10 Correct 12 ms 23768 KB Output is correct
11 Correct 12 ms 23764 KB Output is correct
12 Correct 13 ms 25368 KB Output is correct
13 Correct 14 ms 25368 KB Output is correct
14 Correct 16 ms 25428 KB Output is correct
15 Correct 13 ms 25408 KB Output is correct
16 Correct 14 ms 25484 KB Output is correct
17 Correct 14 ms 25428 KB Output is correct
18 Correct 13 ms 25516 KB Output is correct
19 Correct 15 ms 26088 KB Output is correct
20 Correct 16 ms 26452 KB Output is correct
21 Correct 15 ms 26160 KB Output is correct
22 Correct 17 ms 26948 KB Output is correct
23 Correct 57 ms 63316 KB Output is correct
24 Correct 57 ms 63280 KB Output is correct
25 Correct 58 ms 63328 KB Output is correct
26 Correct 60 ms 63260 KB Output is correct
27 Correct 69 ms 63316 KB Output is correct
28 Correct 98 ms 75044 KB Output is correct
29 Correct 60 ms 64996 KB Output is correct
30 Correct 154 ms 84128 KB Output is correct
31 Correct 153 ms 90064 KB Output is correct
32 Correct 65 ms 64020 KB Output is correct
33 Correct 94 ms 69672 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 26356 KB Output is correct
2 Correct 16 ms 26068 KB Output is correct
3 Correct 17 ms 26068 KB Output is correct
4 Correct 17 ms 26068 KB Output is correct
5 Correct 16 ms 26112 KB Output is correct
6 Correct 15 ms 26124 KB Output is correct
7 Correct 14 ms 26068 KB Output is correct
8 Correct 17 ms 27092 KB Output is correct
9 Correct 20 ms 27092 KB Output is correct
10 Correct 17 ms 26964 KB Output is correct
11 Correct 19 ms 27328 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 11 ms 23848 KB Output is correct
3 Correct 12 ms 23732 KB Output is correct
4 Correct 14 ms 23892 KB Output is correct
5 Correct 12 ms 23764 KB Output is correct
6 Correct 13 ms 23852 KB Output is correct
7 Correct 11 ms 23764 KB Output is correct
8 Correct 11 ms 23764 KB Output is correct
9 Correct 11 ms 23776 KB Output is correct
10 Correct 12 ms 23768 KB Output is correct
11 Correct 12 ms 23764 KB Output is correct
12 Correct 13 ms 25368 KB Output is correct
13 Correct 14 ms 25368 KB Output is correct
14 Correct 16 ms 25428 KB Output is correct
15 Correct 13 ms 25408 KB Output is correct
16 Correct 14 ms 25484 KB Output is correct
17 Correct 14 ms 25428 KB Output is correct
18 Correct 13 ms 25516 KB Output is correct
19 Correct 15 ms 26088 KB Output is correct
20 Correct 16 ms 26452 KB Output is correct
21 Correct 15 ms 26160 KB Output is correct
22 Correct 17 ms 26948 KB Output is correct
23 Correct 57 ms 63316 KB Output is correct
24 Correct 57 ms 63280 KB Output is correct
25 Correct 58 ms 63328 KB Output is correct
26 Correct 60 ms 63260 KB Output is correct
27 Correct 69 ms 63316 KB Output is correct
28 Correct 98 ms 75044 KB Output is correct
29 Correct 60 ms 64996 KB Output is correct
30 Correct 154 ms 84128 KB Output is correct
31 Correct 153 ms 90064 KB Output is correct
32 Correct 65 ms 64020 KB Output is correct
33 Correct 94 ms 69672 KB Output is correct
34 Correct 18 ms 26356 KB Output is correct
35 Correct 16 ms 26068 KB Output is correct
36 Correct 17 ms 26068 KB Output is correct
37 Correct 17 ms 26068 KB Output is correct
38 Correct 16 ms 26112 KB Output is correct
39 Correct 15 ms 26124 KB Output is correct
40 Correct 14 ms 26068 KB Output is correct
41 Correct 17 ms 27092 KB Output is correct
42 Correct 20 ms 27092 KB Output is correct
43 Correct 17 ms 26964 KB Output is correct
44 Correct 19 ms 27328 KB Output is correct
45 Correct 81 ms 64412 KB Output is correct
46 Correct 70 ms 64348 KB Output is correct
47 Correct 67 ms 64460 KB Output is correct
48 Correct 60 ms 64480 KB Output is correct
49 Correct 66 ms 64444 KB Output is correct
50 Correct 86 ms 76504 KB Output is correct
51 Correct 99 ms 77772 KB Output is correct
52 Correct 228 ms 101252 KB Output is correct
53 Correct 188 ms 99300 KB Output is correct
54 Correct 185 ms 97148 KB Output is correct
55 Incorrect 261 ms 115652 KB Output isn't correct
56 Halted 0 ms 0 KB -