oj.uz

Submission #558385

# Submission time Handle Problem Language Result Execution time Memory
558385 2022-05-07T08:14:14 Z fatemetmhr Abduction 2 (JOI17_abduction2) C++17
100 / 100
 1689 ms 10024 KB 
// Be name khoda //

#include <bits/stdc++.h>

using namespace std;

typedef long long ll;

#define all(x)      x.begin(), x.end()
#define fi          first
#define se          second
#define pb          push_back


const int maxn5 = 1e5 + 10;
const int maxnt = 4e5 + 10;

struct segment_tree{

    int val[maxn5];
    int mx[maxnt];

    inline void build(int l, int r, int v){
        if(r - l == 1){
            mx[v] = val[l];
            return;
        }
        int mid = (l + r) >> 1;
        build(l, mid, v * 2);
        build(mid, r, v * 2 + 1);
        mx[v] = max(mx[v * 2], mx[v * 2 + 1]);
    }

    inline int get_first(int l, int r, int lq, int rq, int val, int v){
        if(rq <= l || r <= lq || mx[v] <= val)
            return -1;
        if(r - l == 1)
            return l;
        int mid = (l + r) >> 1;
        int ans = get_first(l, mid, lq, rq, val, v * 2);
        if(ans != -1)
            return ans;
        return get_first(mid, r, lq, rq, val, v * 2 + 1);
    }

    inline int get_last(int l, int r, int lq, int rq, int val, int v){
        if(rq <= l || r <= lq || mx[v] <= val)
            return -1;
        if(r - l == 1)
            return l;
        int mid = (l + r) >> 1;
        int ans = get_last(mid, r, lq, rq, val, v * 2 + 1);
        if(ans != -1)
            return ans;
        return get_last(l, mid, lq, rq, val, v * 2);
    }

} seg1, seg2;

int a[maxn5], b[maxn5], pt1[2][maxn5], pt2[2][maxn5];
int up[maxn5], dw[maxn5], lef[maxn5], rig[maxn5];
vector <pair<pair<int, int>, bool>> av;
ll ans[2][2][maxn5], n, m, x, y;

inline ll setmn(ll a, ll b){
    if(a == -1)
        return b;
    if(b == -1)
        return a;
    return min(a, b);
}

inline ll setmx(ll a, ll b){
    if(a == -1)
        return b;
    if(b == -1)
        return a;
    return max(a, b);
}

inline ll solve(bool exty){
    //cout << "satring with solve " << endl;  
    for(auto [p, ty] : av){
        int id = p.se;
        if(ty && up[id] == -1)
            continue;
        if(!ty && lef[id] == -1)
            continue;
        if(ty){ // stoon
            int pt = seg1.get_last(0, n, 0, up[id] + 1, b[id], 1);
            if(pt != -1){
                lef[pt] = setmn(lef[pt], id);
                rig[pt] = setmx(rig[pt], id);
            }
            else{
                ans[ty][0][id] = up[id];
            }
            pt1[ty][id] = pt;
            pt = seg1.get_first(0, n, dw[id], n, b[id], 1);
            if(pt != -1){
                lef[pt] = setmn(lef[pt], id);
                rig[pt] = setmx(rig[pt], id);
            }
            else{
                ans[ty][1][id] = n - dw[id] - 1;
            }
            pt2[ty][id] = pt;
        }
        else{ // satr
            int pt = seg2.get_last(0, m, 0, lef[id] + 1, a[id], 1);
            if(pt != -1){
                dw[pt] = setmx(dw[pt], id);
                up[pt] = setmn(up[pt], id);
            }
            else{
                ans[ty][0][id] = lef[id];
            }
            pt1[ty][id] = pt;
            pt = seg2.get_first(0, m, rig[id], m, a[id], 1);
            if(pt != -1){
                dw[pt] = setmx(dw[pt], id);
                up[pt] = setmn(up[pt], id);
            }
            else{
                ans[ty][1][id] = m - rig[id] - 1;
            }
            pt2[ty][id] = pt;
        }
        //cout << ty << ' ' << id << ' ' << lef[id] << ' ' << rig[id] << ' ' << up[id] << ' ' << dw[id] << endl;
        //cout << "edame " << pt1[ty][id] << ' ' << pt2[ty][id] << ' ' << ans[ty][0][id] << ' ' << ans[ty][1][id] << endl;
    }

    reverse(all(av));

    for(auto [p, ty] : av){
        int id = p.se;
        if(ty && up[id] == -1)
            continue;
        if(!ty && lef[id] == -1)
            continue;
        int pt = pt1[ty][id];
        if(pt1[ty][id] != -1){
            if(ty){
                ans[ty][0][id] = max(ans[ty ^ 1][0][pt] + id - lef[pt], ans[ty ^ 1][1][pt] + rig[pt] - id) + up[id] - pt;
            }
            else{
                ans[ty][0][id] = max(ans[ty ^ 1][0][pt] + id - up[pt], ans[ty ^ 1][1][pt] + dw[pt] - id) + lef[id] - pt;
            }
        }
        pt = pt2[ty][id];
        if(pt != -1){
            if(ty){
                ans[ty][1][id] = max(ans[ty ^ 1][0][pt] + id - lef[pt], ans[ty ^ 1][1][pt] + rig[pt] - id) + pt - dw[id];
            }
            else{
                ans[ty][1][id] = max(ans[ty ^ 1][0][pt] + id - up[pt], ans[ty ^ 1][1][pt] + dw[pt] - id) + pt - rig[id];
            }
        }
        //cout << "ans of " << ty << ' '<< id << ' ' << ans[ty][0][id] << ' ' << ans[ty][1][id] << endl;
    }

    //cout << max({ans[0][0][x], ans[0][1][x], ans[1][0][y], ans[1][1][y]}) << '\n';

    reverse(all(av));
    if(exty){
        ans[1][0][y] = ans[1][1][y] = (up[y] < x ? ans[1][0][y] : ans[1][1][y]);
        return max({ans[0][0][x], ans[0][1][x], ans[1][0][y] + 1, ans[1][1][y] + 1});
    }
    else{
        ans[0][0][x] = ans[0][1][x] = (lef[x] > y ? ans[0][1][x] : ans[0][0][x]);
        return max({ans[0][0][x] + 1, ans[0][1][x] + 1, ans[1][0][y], ans[1][1][y]});
    }
}


int main(){
    ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);

    int q; cin >> n >> m >> q;

    for(int i = 0; i < n; i++){
        cin >> a[i];
        seg1.val[i] = a[i];
        av.pb({{a[i], i}, 0});
    }
    for(int i = 0; i < m; i++){
        cin >> b[i];
        seg2.val[i] = b[i];
        av.pb({{b[i], i}, 1});
    }

    sort(all(av));

    seg1.build(0, n, 1);
    seg2.build(0, m, 1);

    for(int i = 0; i < q; i++){
        cin >> x >> y;
        x--; y--;

        ll anss = 0;
        if(a[x] > b[y]){
            memset(lef, -1, sizeof lef);
            memset(rig, -1, sizeof rig);
            memset(up, -1, sizeof up);
            memset(dw, -1, sizeof dw);
            memset(ans, 0, sizeof ans);

            lef[x] = rig[x] = y;
            up[y] = dw[y] = x - 1;
            if(x > 0)
                anss = max(anss, solve(true));

            memset(lef, -1, sizeof lef);
            memset(rig, -1, sizeof rig);
            memset(up, -1, sizeof up);
            memset(dw, -1, sizeof dw);
            memset(ans, 0, sizeof ans);

            lef[x] = rig[x] = y;
            up[y] = dw[y] = x + 1;
            if(x + 1 < n)
                anss = max(anss, solve(true));

        }
        else{
            memset(lef, -1, sizeof lef);
            memset(rig, -1, sizeof rig);
            memset(up, -1, sizeof up);
            memset(dw, -1, sizeof dw);
            memset(ans, 0, sizeof ans);

            up[y] = dw[y] = x;
            lef[x] = rig[x] = y - 1;
            if(y > 0)
                anss = max(anss, solve(false));

            memset(lef, -1, sizeof lef);
            memset(rig, -1, sizeof rig);
            memset(up, -1, sizeof up);
            memset(dw, -1, sizeof dw);
            memset(ans, 0, sizeof ans);

            up[y] = dw[y] = x;
            lef[x] = rig[x] = y + 1;
            if(y + 1 < m)
                anss = max(anss, solve(false));
        }

        cout << anss << '\n';

    }
}

/*
3 3 1
3 2 6
1 4 5
3 3
*/

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 5076 KB Output is correct
2 Correct 2 ms 5072 KB Output is correct
3 Correct 3 ms 5076 KB Output is correct
4 Correct 3 ms 5072 KB Output is correct
5 Correct 3 ms 5076 KB Output is correct
6 Correct 3 ms 5120 KB Output is correct
7 Correct 3 ms 4948 KB Output is correct
8 Correct 2 ms 4948 KB Output is correct
9 Correct 3 ms 4948 KB Output is correct
10 Correct 3 ms 4948 KB Output is correct
11 Correct 3 ms 5076 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 5076 KB Output is correct
2 Correct 2 ms 5072 KB Output is correct
3 Correct 3 ms 5076 KB Output is correct
4 Correct 3 ms 5072 KB Output is correct
5 Correct 3 ms 5076 KB Output is correct
6 Correct 3 ms 5120 KB Output is correct
7 Correct 3 ms 4948 KB Output is correct
8 Correct 2 ms 4948 KB Output is correct
9 Correct 3 ms 4948 KB Output is correct
10 Correct 3 ms 4948 KB Output is correct
11 Correct 3 ms 5076 KB Output is correct
12 Correct 5 ms 5204 KB Output is correct
13 Correct 4 ms 5204 KB Output is correct
14 Correct 4 ms 5204 KB Output is correct
15 Correct 4 ms 5216 KB Output is correct
16 Correct 4 ms 5216 KB Output is correct
17 Correct 4 ms 5216 KB Output is correct
18 Correct 3 ms 5204 KB Output is correct
19 Correct 4 ms 5204 KB Output is correct
20 Correct 5 ms 5204 KB Output is correct
21 Correct 5 ms 5204 KB Output is correct
22 Correct 4 ms 5204 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 5076 KB Output is correct
2 Correct 2 ms 5072 KB Output is correct
3 Correct 3 ms 5076 KB Output is correct
4 Correct 3 ms 5072 KB Output is correct
5 Correct 3 ms 5076 KB Output is correct
6 Correct 3 ms 5120 KB Output is correct
7 Correct 3 ms 4948 KB Output is correct
8 Correct 2 ms 4948 KB Output is correct
9 Correct 3 ms 4948 KB Output is correct
10 Correct 3 ms 4948 KB Output is correct
11 Correct 3 ms 5076 KB Output is correct
12 Correct 5 ms 5204 KB Output is correct
13 Correct 4 ms 5204 KB Output is correct
14 Correct 4 ms 5204 KB Output is correct
15 Correct 4 ms 5216 KB Output is correct
16 Correct 4 ms 5216 KB Output is correct
17 Correct 4 ms 5216 KB Output is correct
18 Correct 3 ms 5204 KB Output is correct
19 Correct 4 ms 5204 KB Output is correct
20 Correct 5 ms 5204 KB Output is correct
21 Correct 5 ms 5204 KB Output is correct
22 Correct 4 ms 5204 KB Output is correct
23 Correct 27 ms 9180 KB Output is correct
24 Correct 27 ms 9144 KB Output is correct
25 Correct 29 ms 9144 KB Output is correct
26 Correct 36 ms 9208 KB Output is correct
27 Correct 32 ms 9112 KB Output is correct
28 Correct 48 ms 9628 KB Output is correct
29 Correct 28 ms 9220 KB Output is correct
30 Correct 42 ms 9436 KB Output is correct
31 Correct 47 ms 9552 KB Output is correct
32 Correct 25 ms 9160 KB Output is correct
33 Correct 29 ms 9152 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 44 ms 5204 KB Output is correct
2 Correct 45 ms 5292 KB Output is correct
3 Correct 47 ms 5204 KB Output is correct
4 Correct 42 ms 5212 KB Output is correct
5 Correct 40 ms 5280 KB Output is correct
6 Correct 55 ms 5204 KB Output is correct
7 Correct 62 ms 5292 KB Output is correct
8 Correct 84 ms 5292 KB Output is correct
9 Correct 76 ms 5204 KB Output is correct
10 Correct 92 ms 5220 KB Output is correct
11 Correct 97 ms 5284 KB Output is correct

Subtask #5
56.0 / 56.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 5076 KB Output is correct
2 Correct 2 ms 5072 KB Output is correct
3 Correct 3 ms 5076 KB Output is correct
4 Correct 3 ms 5072 KB Output is correct
5 Correct 3 ms 5076 KB Output is correct
6 Correct 3 ms 5120 KB Output is correct
7 Correct 3 ms 4948 KB Output is correct
8 Correct 2 ms 4948 KB Output is correct
9 Correct 3 ms 4948 KB Output is correct
10 Correct 3 ms 4948 KB Output is correct
11 Correct 3 ms 5076 KB Output is correct
12 Correct 5 ms 5204 KB Output is correct
13 Correct 4 ms 5204 KB Output is correct
14 Correct 4 ms 5204 KB Output is correct
15 Correct 4 ms 5216 KB Output is correct
16 Correct 4 ms 5216 KB Output is correct
17 Correct 4 ms 5216 KB Output is correct
18 Correct 3 ms 5204 KB Output is correct
19 Correct 4 ms 5204 KB Output is correct
20 Correct 5 ms 5204 KB Output is correct
21 Correct 5 ms 5204 KB Output is correct
22 Correct 4 ms 5204 KB Output is correct
23 Correct 27 ms 9180 KB Output is correct
24 Correct 27 ms 9144 KB Output is correct
25 Correct 29 ms 9144 KB Output is correct
26 Correct 36 ms 9208 KB Output is correct
27 Correct 32 ms 9112 KB Output is correct
28 Correct 48 ms 9628 KB Output is correct
29 Correct 28 ms 9220 KB Output is correct
30 Correct 42 ms 9436 KB Output is correct
31 Correct 47 ms 9552 KB Output is correct
32 Correct 25 ms 9160 KB Output is correct
33 Correct 29 ms 9152 KB Output is correct
34 Correct 44 ms 5204 KB Output is correct
35 Correct 45 ms 5292 KB Output is correct
36 Correct 47 ms 5204 KB Output is correct
37 Correct 42 ms 5212 KB Output is correct
38 Correct 40 ms 5280 KB Output is correct
39 Correct 55 ms 5204 KB Output is correct
40 Correct 62 ms 5292 KB Output is correct
41 Correct 84 ms 5292 KB Output is correct
42 Correct 76 ms 5204 KB Output is correct
43 Correct 92 ms 5220 KB Output is correct
44 Correct 97 ms 5284 KB Output is correct
45 Correct 360 ms 9900 KB Output is correct
46 Correct 411 ms 9816 KB Output is correct
47 Correct 383 ms 9904 KB Output is correct
48 Correct 407 ms 9916 KB Output is correct
49 Correct 441 ms 9900 KB Output is correct
50 Correct 1030 ms 10024 KB Output is correct
51 Correct 912 ms 9964 KB Output is correct
52 Correct 1689 ms 9960 KB Output is correct
53 Correct 1664 ms 9932 KB Output is correct
54 Correct 1560 ms 9972 KB Output is correct
55 Correct 1363 ms 9868 KB Output is correct
56 Correct 598 ms 9516 KB Output is correct
57 Correct 311 ms 9524 KB Output is correct
58 Correct 301 ms 9532 KB Output is correct
59 Correct 318 ms 9576 KB Output is correct