oj.uz

Submission #1082739

# Submission time Handle Problem Language Result Execution time Memory
1082739 2024-09-01T10:59:11 Z Tymond Triple Jump (JOI19_jumps) C++17
100 / 100
 2476 ms 111956 KB 
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
#define fi first
#define se second
#define vi vector<int>
#define vll vector<long long>
#define pii pair<int, int>
#define pll pair<long long, long long>
#define pb push_back
#define mp make_pair
#define eb emplace_back
#define all(x) (x).begin(), (x).end()
#define sz(x) (int)(x).size()
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
mt19937_64 rng64(chrono::steady_clock::now().time_since_epoch().count());
inline int rand(int l,int r){return uniform_int_distribution<int>(l, r)(rng);}
inline ll rand(ll l,ll r){return uniform_int_distribution<ll>(l, r)(rng64);}
#ifdef DEBUG
auto&operator<<(auto&o,pair<auto,auto>p){return o<<"("<<p.first<<", "<<p.second<<")";}
auto operator<<(auto&o,auto x)->decltype(x.end(),o){o<<"{";int i=0;for(auto e:x)o<<","+!i++<<e;return o<<"}";}
#define debug(X...)cerr<<"["#X"]: ",[](auto...$){((cerr<<$<<"; "),...)<<endl;}(X)
#else
#define debug(...){}
#endif

struct custom_hash {
    static uint64_t splitmix64(uint64_t x) {
        x += 0x9e3779b97f4a7c15;
        x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
        x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
        return x ^ (x >> 31);
    }

    size_t operator()(uint64_t x) const {
        static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
        return splitmix64(x + FIXED_RANDOM);
    }
};

struct Node{
    ll r[3];
    Node(vll nr = {0LL, 0LL, 0LL}){
        r[0] = nr[0];
        r[1] = nr[1];
        r[2] = nr[2];
    }
};

const int MAXN = 5e5 + 7;
const ll MIN = -1000000000;
const int BASE = (1 << 19);
ll tab[MAXN];
Node tree[2 * BASE + 7];
ll lazy[2 * BASE + 7];
vector<pii> queries[MAXN];
ll ans[MAXN];
vi nxt[MAXN];
int n, q;
vll worst;

Node get(Node x, Node y){
    Node res = Node(worst);
    res.r[0] = max(x.r[0], y.r[0]);
    res.r[1] = max(x.r[1], y.r[1]);
    res.r[2] = max({x.r[2], y.r[2], (ll)x.r[0] + y.r[1]});
    return res;
}

void Push(int v){
    tree[2 * v].r[0] = max(tree[2 * v].r[0], lazy[v]);
    tree[2 * v + 1].r[0] = max(tree[2 * v + 1].r[0], lazy[v]);
    lazy[2 * v] = max(lazy[2 * v], lazy[v]);
    lazy[2 * v + 1] = max(lazy[2 * v + 1], lazy[v]);
    tree[2 * v].r[2] = max(tree[2 * v].r[2], lazy[v] + tree[2 * v].r[1]);
    tree[2 * v + 1].r[2] = max(tree[2 * v + 1].r[2], lazy[v] + tree[2 * v + 1].r[1]);
}

void upd(int v, int l, int p, int a, int b, ll val){
    if(p < a || b < l){
        return;
    }

    if(a <= l && p <= b){
        lazy[v] = max(lazy[v], val);
        tree[v].r[0] = max(tree[v].r[0], val);
        tree[v].r[2] = max(tree[v].r[2], val + tree[v].r[1]);
        return;
    }
    Push(v);
    int mid = (l + p) / 2;
    upd(2 * v, l, mid, a, b, val);
    upd(2 * v + 1, mid + 1, p, a, b, val);
    tree[v] = get(tree[2 * v], tree[2 * v + 1]);
}

Node query(int v, int l, int p, int a, int b){
    if(p < a || b < l){
        return worst;
    }

    if(a <= l && p <= b){
        return tree[v];
    }
    Push(v);
    int mid = (l + p) / 2;
    Node ret = query(2 * v, l, mid, a, b);
    ret = get(ret, query(2 * v + 1, mid + 1, p, a, b));
    tree[v] = get(tree[2 * v], tree[2 * v + 1]);
    return ret;
}

void init(){
    worst = {MIN, MIN, MIN};
    for(int i = 1; i < 2 * BASE + 7; i++){
        tree[i] = Node(worst);
    }

    for(int i = 1; i <= n; i++){
        tree[i + BASE].r[1] = tab[i];
    }

    for(int i = BASE - 1; i >= 1; i--){
        tree[i] = get(tree[2 *i], tree[2 * i + 1]);
    }
}

int main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    
    cin >> n;
    for(int i = 1; i <= n; i++){
        cin >> tab[i];
    }

    init();

    vi xd;
    for(int i = 1; i <= n; i++){
        while(sz(xd) && tab[xd.back()] <= tab[i]){
            nxt[xd.back()].pb(i);
            xd.pop_back();
        }

        if(sz(xd)){
            nxt[xd.back()].pb(i);
        }
        xd.pb(i);
    }

    cin >> q;
    for(int i = 1; i <= q; i++){
        int l, p;
        cin >> l >> p;
        queries[l].pb({p, i});
    }

    for(int i = n; i >= 1; i--){
        for(auto ele : nxt[i]){
            upd(1, 0, BASE - 1, 2 * ele - i, n, tab[i] + tab[ele]);
        }

        for(auto ele : queries[i]){
            ans[ele.se] = query(1, 0, BASE - 1, i, ele.fi).r[2];
        }
    }

    for(int 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 56 ms 48588 KB Output is correct
2 Correct 56 ms 48624 KB Output is correct
3 Correct 62 ms 48472 KB Output is correct
4 Correct 56 ms 48576 KB Output is correct
5 Correct 59 ms 48464 KB Output is correct
6 Correct 54 ms 48476 KB Output is correct
7 Correct 56 ms 48464 KB Output is correct
8 Correct 52 ms 48476 KB Output is correct
9 Correct 55 ms 48576 KB Output is correct
10 Correct 53 ms 48464 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 56 ms 48588 KB Output is correct
2 Correct 56 ms 48624 KB Output is correct
3 Correct 62 ms 48472 KB Output is correct
4 Correct 56 ms 48576 KB Output is correct
5 Correct 59 ms 48464 KB Output is correct
6 Correct 54 ms 48476 KB Output is correct
7 Correct 56 ms 48464 KB Output is correct
8 Correct 52 ms 48476 KB Output is correct
9 Correct 55 ms 48576 KB Output is correct
10 Correct 53 ms 48464 KB Output is correct
11 Correct 940 ms 69376 KB Output is correct
12 Correct 923 ms 69220 KB Output is correct
13 Correct 936 ms 69392 KB Output is correct
14 Correct 927 ms 69360 KB Output is correct
15 Correct 910 ms 69456 KB Output is correct
16 Correct 959 ms 68688 KB Output is correct
17 Correct 910 ms 68688 KB Output is correct
18 Correct 920 ms 68696 KB Output is correct
19 Correct 915 ms 69180 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 504 ms 61308 KB Output is correct
2 Correct 275 ms 61264 KB Output is correct
3 Correct 278 ms 62148 KB Output is correct
4 Correct 496 ms 61544 KB Output is correct
5 Correct 462 ms 61520 KB Output is correct
6 Correct 480 ms 60756 KB Output is correct
7 Correct 490 ms 60756 KB Output is correct
8 Correct 469 ms 60752 KB Output is correct
9 Correct 489 ms 60924 KB Output is correct

Subtask #4
54.0 / 54.0

# Verdict Execution time Memory Grader output
1 Correct 56 ms 48588 KB Output is correct
2 Correct 56 ms 48624 KB Output is correct
3 Correct 62 ms 48472 KB Output is correct
4 Correct 56 ms 48576 KB Output is correct
5 Correct 59 ms 48464 KB Output is correct
6 Correct 54 ms 48476 KB Output is correct
7 Correct 56 ms 48464 KB Output is correct
8 Correct 52 ms 48476 KB Output is correct
9 Correct 55 ms 48576 KB Output is correct
10 Correct 53 ms 48464 KB Output is correct
11 Correct 940 ms 69376 KB Output is correct
12 Correct 923 ms 69220 KB Output is correct
13 Correct 936 ms 69392 KB Output is correct
14 Correct 927 ms 69360 KB Output is correct
15 Correct 910 ms 69456 KB Output is correct
16 Correct 959 ms 68688 KB Output is correct
17 Correct 910 ms 68688 KB Output is correct
18 Correct 920 ms 68696 KB Output is correct
19 Correct 915 ms 69180 KB Output is correct
20 Correct 504 ms 61308 KB Output is correct
21 Correct 275 ms 61264 KB Output is correct
22 Correct 278 ms 62148 KB Output is correct
23 Correct 496 ms 61544 KB Output is correct
24 Correct 462 ms 61520 KB Output is correct
25 Correct 480 ms 60756 KB Output is correct
26 Correct 490 ms 60756 KB Output is correct
27 Correct 469 ms 60752 KB Output is correct
28 Correct 489 ms 60924 KB Output is correct
29 Correct 2402 ms 106324 KB Output is correct
30 Correct 1782 ms 105552 KB Output is correct
31 Correct 1856 ms 107720 KB Output is correct
32 Correct 2377 ms 106300 KB Output is correct
33 Correct 2413 ms 106272 KB Output is correct
34 Correct 2476 ms 103956 KB Output is correct
35 Correct 2379 ms 103764 KB Output is correct
36 Correct 2408 ms 103740 KB Output is correct
37 Correct 2360 ms 105044 KB Output is correct
38 Correct 2164 ms 111872 KB Output is correct
39 Correct 2100 ms 111956 KB Output is correct
40 Correct 2082 ms 108628 KB Output is correct
41 Correct 2115 ms 107976 KB Output is correct
42 Correct 2121 ms 108112 KB Output is correct
43 Correct 2121 ms 109832 KB Output is correct
44 Correct 2199 ms 111280 KB Output is correct
45 Correct 2272 ms 111444 KB Output is correct
46 Correct 2157 ms 108116 KB Output is correct
47 Correct 2221 ms 107856 KB Output is correct
48 Correct 2172 ms 107748 KB Output is correct
49 Correct 2267 ms 109904 KB Output is correct
50 Correct 2229 ms 109396 KB Output is correct
51 Correct 2194 ms 109300 KB Output is correct
52 Correct 2250 ms 106832 KB Output is correct
53 Correct 2302 ms 106568 KB Output is correct
54 Correct 2292 ms 106580 KB Output is correct
55 Correct 2265 ms 108220 KB Output is correct