oj.uz

Submission #1082719

# Submission time Handle Problem Language Result Execution time Memory
1082719 2024-09-01T09:45:42 Z Tymond Triple Jump (JOI19_jumps) C++17
19 / 100
 4000 ms 35536 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);
    }
};

pii bigger(pii x, pii y){
    if(x.fi != y.fi){
        return (x.fi > y.fi ? x : y);
    }
    return x;
}

const int MAXN = 5e5 + 7;
const int MAXK = 22;
const int BASE = (1 << 19);
int a[MAXN];
pii tree[2 * BASE + 7];
int lg[4 * MAXN];
int m[MAXK][MAXN];
ll best[MAXN];
vector<pii> queries[MAXN];
ll ans[MAXN];
int n, q;

void init(){
    for(int i = 1; i <= n; i++){
        tree[i + BASE] = {a[i], i};
    }

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

    lg[1] = 0;
    for(int i = 2; i < MAXN; i++){
        lg[i] = lg[i / 2] + 1;
    }

    for(int i = 1; i <= n; i++){
        m[0][i] = a[i];
    }

    for(int j = 1; j < MAXK; j++){
        for(int i = 1; i <= n; i++){
            m[j][i] = max(m[j - 1][i], m[j - 1][min(n, i + (1 << (j - 1)))]);
        }
    }
}

int getMx(int l, int p){
    if(p < l){
        return 0;
    }
    return max(m[lg[p - l + 1]][l], m[lg[p - l + 1]][p - (1 << lg[p - l + 1]) + 1]);
}

void upd(int ind, pii val){
    ind += BASE;
    tree[ind] = val;
    ind /= 2;
    while(ind > 0){
        tree[ind] = bigger(tree[2 * ind], tree[2 * ind + 1]);
        ind /= 2;
    }
}

int x, y;
pii query(int v, int l, int p){
    if(p < x || y < l){
        return {0, 0};
    }

    if(x <= l && p <= y){
        return tree[v];
    }
    int mid = (l + p) / 2;
    return bigger(query(2 * v, l, mid), query(2 * v + 1, mid + 1, p));
}

ll solve(int l, int p){
    x = l;
    y = p;

    int k = min(22, p - l + 1);
    vi vec;
    for(int i = 0; i < k; i++){
        pii akt = query(1, 0, BASE - 1);
        vec.pb(akt.se);
        upd(akt.se, {0, akt.se});
    }

    sort(all(vec));

    for(int i = 0; i < k; i++){
        upd(vec[i], {a[vec[i]], vec[i]});
    }

    ll res = 0;
    for(int i = 0; i < k; i++){
        for(int j = i + 1; j < k; j++){
            if(vec[i] == vec[j]){
                continue;
            }
            ll akt = (ll)a[vec[i]] + a[vec[j]];
            if(max(l, vec[i] - (vec[j] - vec[i])) <= vec[i] - 1){
                res = max(res, (ll)akt + getMx(max(l, vec[i] - (vec[j] - vec[i])), vec[i] - 1));
            }
            
            if(vec[i] + 1 != vec[j]){
                res = max(res, (ll)akt + getMx(vec[i] + 1, vec[i] + (vec[j] - vec[i]) / 2));
            }

            if(2 * vec[j] - vec[i] <= p){
                res = max(res, (ll)akt + getMx(2 * vec[j] - vec[i], p));
            }
            //cout << vec[i] << ' ' << vec[j] << ' ' << res << '\n';
        }
    }
    return res;
}

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

    lg[1] = 0;
    for(int i = 2; i < MAXN; i++){
        lg[i] = lg[i / 2] + 1;
    }

    for(int i = 1; i <= n; i++){
        m[0][i] = a[i];
    }

    for(int j = 1; j < MAXK; j++){
        for(int i = 1; i <= n; i++){
            m[j][i] = max(m[j - 1][i], m[j - 1][min(n, i + (1 << (j - 1)))]);
        }
    }

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

    for(int i = 3; i <= n; i++){
        sort(all(queries[i]));
        pii akt = (sz(queries[i]) == 0 ? mp(0, 0) : queries[i].back());
        for(int j = i - 2; j >= 1; j--){
            best[j] = max(best[j], max(best[j + 1], (ll)a[j] + a[i] + getMx(j + 1, j + (i - j) / 2)));
           // cout << i << ' ' << j << ' ' << best[j] << '\n';
            while(akt.fi == j){
                ans[akt.se] = best[j];
                if(sz(queries[i])){
                    queries[i].pop_back();
                    akt = (sz(queries[i]) == 0 ? mp(0, 0) : queries[i].back());
                }
            }
        }
    }

    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 7 ms 14168 KB Output is correct
2 Correct 6 ms 14172 KB Output is correct
3 Correct 5 ms 14172 KB Output is correct
4 Correct 6 ms 14172 KB Output is correct
5 Correct 6 ms 14172 KB Output is correct
6 Correct 5 ms 14172 KB Output is correct
7 Correct 6 ms 14172 KB Output is correct
8 Correct 6 ms 14316 KB Output is correct
9 Correct 5 ms 14172 KB Output is correct
10 Correct 5 ms 14172 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 14168 KB Output is correct
2 Correct 6 ms 14172 KB Output is correct
3 Correct 5 ms 14172 KB Output is correct
4 Correct 6 ms 14172 KB Output is correct
5 Correct 6 ms 14172 KB Output is correct
6 Correct 5 ms 14172 KB Output is correct
7 Correct 6 ms 14172 KB Output is correct
8 Correct 6 ms 14316 KB Output is correct
9 Correct 5 ms 14172 KB Output is correct
10 Correct 5 ms 14172 KB Output is correct
11 Correct 148 ms 35412 KB Output is correct
12 Correct 148 ms 35152 KB Output is correct
13 Correct 155 ms 35156 KB Output is correct
14 Correct 146 ms 35304 KB Output is correct
15 Correct 165 ms 35536 KB Output is correct
16 Correct 159 ms 34640 KB Output is correct
17 Correct 152 ms 34720 KB Output is correct
18 Correct 155 ms 34488 KB Output is correct
19 Correct 152 ms 35292 KB Output is correct

Subtask #3
0 / 27.0

# Verdict Execution time Memory Grader output
1 Execution timed out 4022 ms 32588 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #4
0 / 54.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 14168 KB Output is correct
2 Correct 6 ms 14172 KB Output is correct
3 Correct 5 ms 14172 KB Output is correct
4 Correct 6 ms 14172 KB Output is correct
5 Correct 6 ms 14172 KB Output is correct
6 Correct 5 ms 14172 KB Output is correct
7 Correct 6 ms 14172 KB Output is correct
8 Correct 6 ms 14316 KB Output is correct
9 Correct 5 ms 14172 KB Output is correct
10 Correct 5 ms 14172 KB Output is correct
11 Correct 148 ms 35412 KB Output is correct
12 Correct 148 ms 35152 KB Output is correct
13 Correct 155 ms 35156 KB Output is correct
14 Correct 146 ms 35304 KB Output is correct
15 Correct 165 ms 35536 KB Output is correct
16 Correct 159 ms 34640 KB Output is correct
17 Correct 152 ms 34720 KB Output is correct
18 Correct 155 ms 34488 KB Output is correct
19 Correct 152 ms 35292 KB Output is correct
20 Execution timed out 4022 ms 32588 KB Time limit exceeded
21 Halted 0 ms 0 KB -