oj.uz

Submission #147809

# Submission time Handle Problem Language Result Execution time Memory
147809 2019-08-30T18:11:13 Z Alexa2001 Triple Jump (JOI19_jumps) C++17
100 / 100
 1219 ms 93396 KB 
#include <bits/stdc++.h>

using namespace std;

const int Nmax = 5e5 + 5;
const int inf = 1e9;

vector<int> start[Nmax], query[Nmax];
vector<pair<int,int>> v;

int a[Nmax], st[Nmax];
int n, L[Nmax], R[Nmax];
int ans[Nmax];


#define left_son ((node<<1))
#define right_son ((node<<1)|1)
#define mid ((st+dr)>>1)

class SegTree
{
    int best[Nmax<<2];
    int mx[Nmax<<2];
    int lazy[Nmax<<2];

    void propag(int node)
    {
        if(!lazy[node]) return;

        best[left_son] = max(best[left_son], mx[left_son] + lazy[node]);
        best[right_son] = max(best[right_son], mx[right_son] + lazy[node]);
        lazy[left_son] = max(lazy[left_son], lazy[node]);
        lazy[right_son] = max(lazy[right_son], lazy[node]);
        lazy[node] = 0;
    }

public:
    void init(int node, int st, int dr)
    {
        lazy[node] = 0;
        best[node] = -inf;

        if(st == dr)
        {
            mx[node] = a[st];
            return;
        }    

        init(left_son, st, mid);
        init(right_son, mid+1, dr);

        mx[node] = max(mx[left_son], mx[right_son]);
    }

    void update(int node, int st, int dr, int L, int R, int coef)
    {
        if(L <= st && dr <= R)
        {
            lazy[node] = max(lazy[node], coef);
            best[node] = max(best[node], mx[node] + coef);
            return;
        }

        propag(node);

        if(L <= mid) update(left_son, st, mid, L, R, coef);
        if(mid < R) update(right_son, mid+1, dr, L, R, coef);

        best[node] = max(best[left_son], best[right_son]);
    }
    
    int query(int node, int st, int dr, int L, int R)
    {
        if(L <= st && dr <= R)
            return best[node];

        propag(node);
        
        int ans = -inf;
        if(L <= mid) ans = max(ans, query(left_son, st, mid, L, R));
        if(mid < R) ans = max(ans, query(right_son, mid+1, dr, L, R));
        return ans;
    }

} aint;

void fnd()
{
    int i, nr = 0;

    st[0] = 0;
    a[0] = inf;

    for(i=1; i<=n; ++i)
    {
        while(a[st[nr]] <= a[i])
        {
            v.push_back({st[nr], i});
            --nr;
        }

        v.push_back({st[nr], i});
        st[++nr] = i;
    }
}

int main()
{
   // freopen("triple.in", "r", stdin);
    cin.tie(0); cin.sync_with_stdio(false);
    
    cin >> n;

    int i, q;
    for(i=1; i<=n; ++i) cin >> a[i];
    
    fnd();

    cin >> q;
    for(i=1; i<=q; ++i) cin >> L[i] >> R[i];

    for(auto it : v)
        start[it.first].push_back(it.second);

    for(i=1; i<=q; ++i)
        query[L[i]].push_back(i);
    
    aint.init(1, 1, n);

    for(i=n; i; --i)
    {
        for(auto it : start[i])
        {
            int R = 2 * it - i;
            if(R <= n)
                aint.update(1, 1, n, R, n, a[i] + a[it]);
        }

        for(auto it : query[i])
            ans[it] = aint.query(1, 1, n, i, R[it]);
    }

    for(i=1; i<=q; ++i) cout << ans[i] << '\n';
   
    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 23928 KB Output is correct
2 Correct 24 ms 23928 KB Output is correct
3 Correct 24 ms 23900 KB Output is correct
4 Correct 23 ms 23928 KB Output is correct
5 Correct 28 ms 23928 KB Output is correct
6 Correct 23 ms 23816 KB Output is correct
7 Correct 23 ms 23928 KB Output is correct
8 Correct 23 ms 23928 KB Output is correct
9 Correct 27 ms 23928 KB Output is correct
10 Correct 23 ms 23928 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 23928 KB Output is correct
2 Correct 24 ms 23928 KB Output is correct
3 Correct 24 ms 23900 KB Output is correct
4 Correct 23 ms 23928 KB Output is correct
5 Correct 28 ms 23928 KB Output is correct
6 Correct 23 ms 23816 KB Output is correct
7 Correct 23 ms 23928 KB Output is correct
8 Correct 23 ms 23928 KB Output is correct
9 Correct 27 ms 23928 KB Output is correct
10 Correct 23 ms 23928 KB Output is correct
11 Correct 348 ms 43216 KB Output is correct
12 Correct 352 ms 43256 KB Output is correct
13 Correct 355 ms 43028 KB Output is correct
14 Correct 364 ms 43128 KB Output is correct
15 Correct 346 ms 43256 KB Output is correct
16 Correct 381 ms 42616 KB Output is correct
17 Correct 362 ms 42588 KB Output is correct
18 Correct 338 ms 42488 KB Output is correct
19 Correct 347 ms 43128 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 182 ms 42308 KB Output is correct
2 Correct 122 ms 42800 KB Output is correct
3 Correct 115 ms 41192 KB Output is correct
4 Correct 184 ms 42308 KB Output is correct
5 Correct 204 ms 42212 KB Output is correct
6 Correct 189 ms 41568 KB Output is correct
7 Correct 187 ms 41480 KB Output is correct
8 Correct 177 ms 41568 KB Output is correct
9 Correct 179 ms 41824 KB Output is correct

Subtask #4
54.0 / 54.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 23928 KB Output is correct
2 Correct 24 ms 23928 KB Output is correct
3 Correct 24 ms 23900 KB Output is correct
4 Correct 23 ms 23928 KB Output is correct
5 Correct 28 ms 23928 KB Output is correct
6 Correct 23 ms 23816 KB Output is correct
7 Correct 23 ms 23928 KB Output is correct
8 Correct 23 ms 23928 KB Output is correct
9 Correct 27 ms 23928 KB Output is correct
10 Correct 23 ms 23928 KB Output is correct
11 Correct 348 ms 43216 KB Output is correct
12 Correct 352 ms 43256 KB Output is correct
13 Correct 355 ms 43028 KB Output is correct
14 Correct 364 ms 43128 KB Output is correct
15 Correct 346 ms 43256 KB Output is correct
16 Correct 381 ms 42616 KB Output is correct
17 Correct 362 ms 42588 KB Output is correct
18 Correct 338 ms 42488 KB Output is correct
19 Correct 347 ms 43128 KB Output is correct
20 Correct 182 ms 42308 KB Output is correct
21 Correct 122 ms 42800 KB Output is correct
22 Correct 115 ms 41192 KB Output is correct
23 Correct 184 ms 42308 KB Output is correct
24 Correct 204 ms 42212 KB Output is correct
25 Correct 189 ms 41568 KB Output is correct
26 Correct 187 ms 41480 KB Output is correct
27 Correct 177 ms 41568 KB Output is correct
28 Correct 179 ms 41824 KB Output is correct
29 Correct 1219 ms 87084 KB Output is correct
30 Correct 1060 ms 88404 KB Output is correct
31 Correct 1088 ms 84680 KB Output is correct
32 Correct 1165 ms 87124 KB Output is correct
33 Correct 1172 ms 86764 KB Output is correct
34 Correct 1172 ms 86636 KB Output is correct
35 Correct 1138 ms 86872 KB Output is correct
36 Correct 1138 ms 86868 KB Output is correct
37 Correct 1165 ms 87096 KB Output is correct
38 Correct 826 ms 93268 KB Output is correct
39 Correct 804 ms 93396 KB Output is correct
40 Correct 790 ms 92000 KB Output is correct
41 Correct 783 ms 91848 KB Output is correct
42 Correct 776 ms 91612 KB Output is correct
43 Correct 824 ms 92156 KB Output is correct
44 Correct 890 ms 92516 KB Output is correct
45 Correct 884 ms 92500 KB Output is correct
46 Correct 874 ms 91092 KB Output is correct
47 Correct 852 ms 90976 KB Output is correct
48 Correct 850 ms 90876 KB Output is correct
49 Correct 851 ms 91672 KB Output is correct
50 Correct 1010 ms 89772 KB Output is correct
51 Correct 1065 ms 89596 KB Output is correct
52 Correct 1034 ms 88628 KB Output is correct
53 Correct 966 ms 88332 KB Output is correct
54 Correct 1012 ms 88532 KB Output is correct
55 Correct 990 ms 89008 KB Output is correct