Submission #917643

# Submission time Handle Problem Language Result Execution time Memory
917643 2024-01-28T13:53:24 Z Whisper Divide and conquer (IZhO14_divide) C++17
100 / 100
44 ms 12232 KB
#include <bits/stdc++.h>

using namespace std;
using ll = long long;
using ld = long double;
using T = tuple<ll, ll, ll>;

#define int long long
#define Base 41
#define sz(a) (int)a.size()
#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, n) for (int i = 0; i < n; ++i)
#define REPD(i, n) for (int i = n - 1; i >= 0; --i)
#define all(x) x.begin() , x.end()
#define pii pair<int , int>
#define fi first
#define se second
#define Lg(x) 31 - __builtin_clz(x)

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

constexpr ll LINF = (1ll << 60);
constexpr int INF = (1ll << 30);
constexpr int MAX = 2e5 + 5;
constexpr int Mod = 1e9 + 7;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

void setupIO(){
    #define name "Whisper"
    //Phu Trong from Nguyen Tat Thanh High School for gifted student
    srand(time(NULL));
    cin.tie(nullptr)->sync_with_stdio(false); cout.tie(nullptr);
    //freopen(name".inp", "r", stdin);
    //freopen(name".out", "w", stdout);
    cout << fixed << setprecision(10);
}

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;
    }
struct Data{
    int x, g, d;
    friend istream& operator >> (istream& cin, Data& a){
        cin >> a.x >> a.g >> a.d;
        return cin;
    }
    friend ostream& operator << (ostream& cout, Data a){
        cout << a.x << " " << a.g << " " << a.d;
        return cout;
    }
};
int N;

int G[MAX], D[MAX];
int dp[MAX];
Data a[MAX];

struct FenwickTree{
    vector<int> f;
    int n;
    FenwickTree(int _n){
        this -> n = _n;
        f.resize(n + 5, LINF);
    }
    void modify(int p, int val){
        for (; p <= n; p += p & (-p)) minimize(f[p], val);
    }
    int query(int p){
        int res = LINF;
        for ( ; p > 0; p -= p & (-p)) minimize(res, f[p]);
        return res;;
    }
};
void Whisper(){
    cin >> N;
    for (int i = 1; i <= N; ++i) cin >> a[i];
    for (int i = 1; i <= N; ++i){
        G[i] = G[i - 1] + a[i].g;
        D[i] = D[i - 1] + a[i].d;
    }

    vector<int> comp;
    #define Find(x) lower_bound(all(comp), x) - comp.begin() + 1
    comp.push_back(D[0] - a[1].x);
    for (int i = 1; i <= N; ++i){
        comp.push_back(D[i] - a[i].x);
        comp.push_back(D[i] - a[i + 1].x);
    }
    sort(all(comp)); comp.resize(unique(all(comp)) - comp.begin());
    FenwickTree fen(sz(comp));

    fen.modify(Find(D[0] - a[1].x), 0);
    int ans = 0;
    for (int i = 1; i <= N; ++i){
        int id = Find(D[i] - a[i].x);
        int x = fen.query(id);
        maximize(ans, G[i] - x);
        fen.modify(Find(D[i] - a[i + 1].x), G[i]);
    }

    cout << ans;
}


signed main(){
    setupIO();
    int Test = 1;
//    cin >> Test;
    for ( int i = 1 ; i <= Test ; i++ ){
        Whisper();
        if (i < Test) cout << '\n';
    }
}

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 500 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 500 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 528 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 1 ms 492 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 604 KB Output is correct
22 Correct 1 ms 604 KB Output is correct
23 Correct 2 ms 1112 KB Output is correct
24 Correct 2 ms 860 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 500 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 528 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 1 ms 492 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 604 KB Output is correct
22 Correct 1 ms 604 KB Output is correct
23 Correct 2 ms 1112 KB Output is correct
24 Correct 2 ms 860 KB Output is correct
25 Correct 2 ms 860 KB Output is correct
26 Correct 4 ms 3292 KB Output is correct
27 Correct 4 ms 3296 KB Output is correct
28 Correct 19 ms 5120 KB Output is correct
29 Correct 21 ms 6348 KB Output is correct
30 Correct 44 ms 12232 KB Output is correct
31 Correct 36 ms 11244 KB Output is correct
32 Correct 36 ms 11220 KB Output is correct
33 Correct 38 ms 10976 KB Output is correct
34 Correct 40 ms 10956 KB Output is correct
35 Correct 38 ms 11648 KB Output is correct
36 Correct 41 ms 11724 KB Output is correct