oj.uz

Submission #1083831

# Submission time Handle Problem Language Result Execution time Memory
1083831 2024-09-04T08:40:36 Z vjudge1 Triple Jump (JOI19_jumps) C++17
100 / 100
 690 ms 103512 KB 
#include <bits/stdc++.h>

using namespace std;
using ll = long long;

#define int long long
#define FOR(i, a, b) for (int i = (a); i <= (b); i++)
#define FORD(i, a, b) for (int i = (b); i >= (a); i --)
#define REP(i, a) for (int i = 0; i < (a); ++i)
#define REPD(i, a) for (int i = (a) - 1; i >= 0; --i)

#define MASK(i) (1LL << (i))
#define BIT(x, i) (((x) >> (i)) & 1)


constexpr ll LINF = (1ll << 60);
constexpr int INF = (1ll << 30);
constexpr int Mod = 1e9 + 7;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

/*
    Phu Trong from Nguyen Tat Thanh High School for gifted student
*/

template <class X, class Y>
    bool minimize(X &x, const Y &y){
        X eps = 1e-9;
        if (x > y + eps) {x = y; return 1;}
        return 0;
    }

template <class X, class Y>
    bool maximize(X &x, const Y &y){
        X eps = 1e-9;
        if (x + eps < y) {x = y; return 1;}
        return 0;
    }
#define MAX                     500005

int nArr, numQuery;
int A[MAX];

int ans[MAX];
vector<int> candidates[MAX];
vector<pair<int, int>> Q[MAX];
struct Node{
    int a, f;
    Node(){}
    Node(int _a, int _f): a(_a), f(_f){}

    friend Node operator + (const Node& a, const Node& b){
        Node res;
        res.a = max(a.a, b.a);
        res.f = max(a.f, b.f);
        return res;
    }
};
struct SegmentTree{
    vector<int> lz;
    vector<Node> st;
    int n;
    SegmentTree(int _n = 0){
        this -> n = _n;
        lz.resize((n << 2) + 5, 0);
        st.resize((n << 2) + 5);
    }
    #define lson (nd << 1)
    #define rson (nd << 1 | 1)

    void build(int nd, int l, int r){
        if(l == r){
            st[nd].f = st[nd].a = A[l];
            return;
        }
        int m = (l + r) >> 1;
        build(lson, l, m);
        build(rson, m + 1, r);
        st[nd] = st[lson] + st[rson];
    }

    void pushDown(int nd){
        maximize(lz[lson], lz[nd]);
        maximize(lz[rson], lz[nd]);

        maximize(st[lson].f, st[lson].a + lz[nd]);
        maximize(st[rson].f, st[rson].a + lz[nd]);

        return;
    }
    void upd(int nd, int l, int r, int u, int v, int val){
        if (u > r || v < l) return;
        if (u <= l && v >= r){
            maximize(st[nd].f, st[nd].a + val);
            maximize(lz[nd], val);
            return;
        }
        int m = (l + r) >> 1;
        pushDown(nd);
        upd(lson, l, m, u, v, val);
        upd(rson, m + 1, r, u, v, val);
        st[nd] = st[lson] + st[rson];
    }
    int query(int nd, int l, int r, int u, int v){
        if (u > r || v < l) return 0;
        if (u <= l && v >= r) return st[nd].f;
        int m = (l + r) >> 1;
        pushDown(nd);
        int ql = query(lson, l, m, u, v);
        int qr = query(rson, m + 1, r, u, v);
        return max(ql, qr);
    }

    void upd(int l, int r, int v){
        upd(1, 1, n, l, r, v);
    }

    int query(int l, int r){
        return query(1, 1, n, l, r);
    }
};
void process(void){
    cin >> nArr;
    for (int i = 1; i <= nArr; ++i) cin >> A[i];
    cin >> numQuery;

    stack<int> st;

    for (int i = nArr; i >= 1; --i){
        while(st.size()){
            candidates[i].emplace_back(st.top());
            if(A[st.top()] > A[i]) break;
            st.pop();
        }
        st.push(i);
    }

    SegmentTree myit(nArr);
    myit.build(1, 1, nArr);

    for (int i = 1; i <= numQuery; ++i){
        int l, r; cin >> l >> r;
        Q[l].emplace_back(r, i);
    }
    for (int l = nArr; l >= 1; --l){
        for (int &r : candidates[l]){
            if (2 * r - l <= nArr){
                assert(2 * r - l > r);
                myit.upd(2 * r - l, nArr, A[l] + A[r]);
            }
        }
        for (pair<int, int>&x : Q[l]){
            ans[x.second] = myit.query(l, x.first);
        }
    }
    for (int i = 1; i <= numQuery; ++i){
        cout << ans[i] << "\n";
    }
}
signed main(){
    #define name "Whisper"
    cin.tie(nullptr) -> sync_with_stdio(false);
    //freopen(name".inp", "r", stdin);
    //freopen(name".out", "w", stdout);
    process();
    return (0 ^ 0);
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 23896 KB Output is correct
2 Correct 10 ms 23900 KB Output is correct
3 Correct 11 ms 23900 KB Output is correct
4 Correct 11 ms 23896 KB Output is correct
5 Correct 9 ms 23900 KB Output is correct
6 Correct 10 ms 23900 KB Output is correct
7 Correct 10 ms 23896 KB Output is correct
8 Correct 9 ms 23896 KB Output is correct
9 Correct 10 ms 23816 KB Output is correct
10 Correct 15 ms 23968 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 23896 KB Output is correct
2 Correct 10 ms 23900 KB Output is correct
3 Correct 11 ms 23900 KB Output is correct
4 Correct 11 ms 23896 KB Output is correct
5 Correct 9 ms 23900 KB Output is correct
6 Correct 10 ms 23900 KB Output is correct
7 Correct 10 ms 23896 KB Output is correct
8 Correct 9 ms 23896 KB Output is correct
9 Correct 10 ms 23816 KB Output is correct
10 Correct 15 ms 23968 KB Output is correct
11 Correct 170 ms 46828 KB Output is correct
12 Correct 185 ms 46692 KB Output is correct
13 Correct 177 ms 46752 KB Output is correct
14 Correct 170 ms 46676 KB Output is correct
15 Correct 179 ms 46928 KB Output is correct
16 Correct 171 ms 46184 KB Output is correct
17 Correct 179 ms 46240 KB Output is correct
18 Correct 198 ms 46040 KB Output is correct
19 Correct 205 ms 46672 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 113 ms 47444 KB Output is correct
2 Correct 73 ms 47704 KB Output is correct
3 Correct 70 ms 46160 KB Output is correct
4 Correct 116 ms 47484 KB Output is correct
5 Correct 115 ms 47440 KB Output is correct
6 Correct 109 ms 47444 KB Output is correct
7 Correct 111 ms 47448 KB Output is correct
8 Correct 112 ms 47328 KB Output is correct
9 Correct 117 ms 47444 KB Output is correct

Subtask #4
54.0 / 54.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 23896 KB Output is correct
2 Correct 10 ms 23900 KB Output is correct
3 Correct 11 ms 23900 KB Output is correct
4 Correct 11 ms 23896 KB Output is correct
5 Correct 9 ms 23900 KB Output is correct
6 Correct 10 ms 23900 KB Output is correct
7 Correct 10 ms 23896 KB Output is correct
8 Correct 9 ms 23896 KB Output is correct
9 Correct 10 ms 23816 KB Output is correct
10 Correct 15 ms 23968 KB Output is correct
11 Correct 170 ms 46828 KB Output is correct
12 Correct 185 ms 46692 KB Output is correct
13 Correct 177 ms 46752 KB Output is correct
14 Correct 170 ms 46676 KB Output is correct
15 Correct 179 ms 46928 KB Output is correct
16 Correct 171 ms 46184 KB Output is correct
17 Correct 179 ms 46240 KB Output is correct
18 Correct 198 ms 46040 KB Output is correct
19 Correct 205 ms 46672 KB Output is correct
20 Correct 113 ms 47444 KB Output is correct
21 Correct 73 ms 47704 KB Output is correct
22 Correct 70 ms 46160 KB Output is correct
23 Correct 116 ms 47484 KB Output is correct
24 Correct 115 ms 47440 KB Output is correct
25 Correct 109 ms 47444 KB Output is correct
26 Correct 111 ms 47448 KB Output is correct
27 Correct 112 ms 47328 KB Output is correct
28 Correct 117 ms 47444 KB Output is correct
29 Correct 663 ms 100432 KB Output is correct
30 Correct 519 ms 101456 KB Output is correct
31 Correct 561 ms 97364 KB Output is correct
32 Correct 677 ms 100436 KB Output is correct
33 Correct 650 ms 100504 KB Output is correct
34 Correct 626 ms 100176 KB Output is correct
35 Correct 657 ms 99924 KB Output is correct
36 Correct 690 ms 99924 KB Output is correct
37 Correct 659 ms 100472 KB Output is correct
38 Correct 517 ms 103028 KB Output is correct
39 Correct 491 ms 103252 KB Output is correct
40 Correct 483 ms 101748 KB Output is correct
41 Correct 482 ms 101196 KB Output is correct
42 Correct 472 ms 101204 KB Output is correct
43 Correct 485 ms 102184 KB Output is correct
44 Correct 505 ms 103508 KB Output is correct
45 Correct 513 ms 103288 KB Output is correct
46 Correct 483 ms 101820 KB Output is correct
47 Correct 504 ms 101968 KB Output is correct
48 Correct 510 ms 101968 KB Output is correct
49 Correct 503 ms 103000 KB Output is correct
50 Correct 541 ms 103504 KB Output is correct
51 Correct 551 ms 103504 KB Output is correct
52 Correct 534 ms 102744 KB Output is correct
53 Correct 542 ms 102976 KB Output is correct
54 Correct 526 ms 102736 KB Output is correct
55 Correct 561 ms 103512 KB Output is correct