oj.uz

Submission #580442

# Submission time Handle Problem Language Result Execution time Memory
580442 2022-06-21T08:52:43 Z thezomb1e Divide and conquer (IZhO14_divide) C++17
100 / 100
 191 ms 67620 KB 
//thatsramen
 
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
 
#define eb emplace_back
#define pb push_back
#define ft first
#define sd second
#define pi pair<ll, ll>
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define dbg(...) dbg_out(__VA_ARGS__)
 
using ll = long long;
using ld = long double;
using namespace std;
using namespace __gnu_pbds;
 
//Constants
const ll INF = 5 * 1e18;
const int IINF = 2 * 1e9;
const ll MOD = 1e9 + 7;
// const ll MOD = 998244353;
const ll dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1};
const ld PI = 3.14159265359;
 
//Templates
template<typename A, typename B> ostream& operator<<(ostream &os, const pair<A, B> &p) {return os << '(' << p.first << ", " << p.second << ')';}
template<typename T_container, typename T = typename enable_if<!is_same<T_container, string>::value, typename T_container::value_type>::type> ostream& operator<<(ostream &os, const T_container &v) {os << '['; string sep; for (const T &x : v) os << sep << x, sep = ", "; return os << ']';}
void dbg_out() {cerr << endl;}
template<typename Head, typename... Tail> void dbg_out(Head H, Tail... T) { cerr << H << ' '; dbg_out(T...); }
template<typename T> void mins(T& x, T y) {x = min(x, y);}
template<typename T> void maxs(T& x, T y) {x = max(x, y);}
template<typename T> using oset = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<typename T> using omset = tree<T, null_type, less_equal<T>, rb_tree_tag, tree_order_statistics_node_update>;
 
//order_of_key(k): number of elements strictly less than k
//find_by_order(k): k-th element in the set
 
void setPrec() {cout << fixed << setprecision(15);}
void unsyncIO() {cin.tie(0)->sync_with_stdio(0);}
void setIn(string s) {freopen(s.c_str(), "r", stdin);}
void setOut(string s) {freopen(s.c_str(), "w", stdout);}
void setIO(string s = "") {
    unsyncIO(); setPrec();
    if(s.size()) setIn(s + ".in"), setOut(s + ".out");
}
 
// #define TEST_CASES

struct SegmentTree {

    struct Node {
        vector<pi> ar;
        vector<ll> suf;
    };
    
    vector<Node> tre;
    int sz;
    
    SegmentTree(vector<pi> &a) {
        int n = (int) a.size();
        sz = 1;
        while (sz < n) sz *= 2;
        tre.resize(2 * sz);
        build(a, 1, 0, sz);
    }

    void rcl(int x) {
        int p_l = 0, p_r = 0,
            sz_l = tre[2 * x].ar.size(), 
            sz_r = tre[2 * x + 1].ar.size();
        while ((p_l < sz_l) || (p_r < sz_r)) {
            if (p_r == sz_r || (p_l < sz_l && tre[2 * x].ar[p_l].ft < tre[2 * x + 1].ar[p_r].ft)) {
                tre[x].ar.pb(tre[2 * x].ar[p_l]);
                p_l++;
            } else {
                tre[x].ar.pb(tre[2 * x + 1].ar[p_r]);
                p_r++;
            }
        }
        int sz_cur = sz_l + sz_r;
        tre[x].suf.resize(sz_cur);
        for (int i = sz_cur - 1; i >= 0; i--) {
            tre[x].suf[i] = tre[x].ar[i].sd;
            if (i != sz_cur - 1)
                maxs(tre[x].suf[i], tre[x].suf[i + 1]);
        }
    }

    void build(vector<pi> &a, int x, int lx, int rx) {
        if (rx - lx == 1) {
            if (lx < a.size()) {
                tre[x].ar.pb(a[lx]);
                tre[x].suf.pb(a[lx].sd);
            }
            return;
        }
        int m = (lx + rx) / 2;
        build(a, 2 * x, lx, m);
        build(a, 2 * x + 1, m, rx);
        rcl(x);
    }

    ll get(int l, int r, ll bb, int x, int lx, int rx) {
        if (rx <= l || lx >= r) {
            return -INF;
        }
        if (l <= lx && r >= rx) {
            pi comp = {bb, -INF};
            int j = lower_bound(all(tre[x].ar), comp) - tre[x].ar.begin();
            if (j == (int) tre[x].ar.size()) return -INF;
            return tre[x].suf[j];
        }
        int m = (lx + rx) / 2;
        ll s1 = get(l, r, bb, 2 * x, lx, m);
        ll s2 = get(l, r, bb, 2 * x + 1, m, rx);
        return max(s1, s2);
    }

    ll get(int l, int r, ll bb) {
        return get(l, r, bb, 1, 0, sz);
    }
};
 
void solve() {
    int n;
    cin >> n;
    vector<int> x(n), g(n), d(n);
    for (int i = 0; i < n; i++) {
        cin >> x[i] >> g[i] >> d[i];
    }
    vector<pi> init(n);
    {
        ll pref_gold = 0, pref_energy = 0;
        for (int i = 0; i < n; i++) {
            ll len = x[i] - x[0];
            init[i] = {len - pref_energy, pref_gold};
            pref_energy += d[i];
            pref_gold -= g[i];
        }
    }
    SegmentTree st(init);
    ll pref_gold = 0, pref_energy = 0, ans = 0;
    for (int i = 0; i < n; i++) {
        ll len = x[i] - x[0];
        pref_energy += d[i]; pref_gold += g[i];
        ll bb = len - pref_energy;
        ll res = pref_gold + st.get(0, i + 1, bb);
        maxs(ans, res);
    }
    cout << ans;
}
 
int main() {
    setIO();
 
    int tt = 1;
    #ifdef TEST_CASES
        cin >> tt;
    #endif
 
    while (tt--)
        solve();
 
    return 0;
}

Compilation message

divide.cpp: In member function 'void SegmentTree::build(std::vector<std::pair<long long int, long long int> >&, int, int, int)':
divide.cpp:95:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   95 |             if (lx < a.size()) {
      |                 ~~~^~~~~~~~~~
divide.cpp: In function 'void setIn(std::string)':
divide.cpp:44:30: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   44 | void setIn(string s) {freopen(s.c_str(), "r", stdin);}
      |                       ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~
divide.cpp: In function 'void setOut(std::string)':
divide.cpp:45:31: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   45 | void setOut(string s) {freopen(s.c_str(), "w", stdout);}
      |                        ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct

Subtask #2
31.0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 468 KB Output is correct
16 Correct 2 ms 588 KB Output is correct
17 Correct 2 ms 724 KB Output is correct
18 Correct 2 ms 980 KB Output is correct
19 Correct 2 ms 724 KB Output is correct
20 Correct 2 ms 724 KB Output is correct
21 Correct 2 ms 1108 KB Output is correct
22 Correct 3 ms 1224 KB Output is correct
23 Correct 6 ms 3412 KB Output is correct
24 Correct 7 ms 3412 KB Output is correct

Subtask #3
52.0 / 52.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 468 KB Output is correct
16 Correct 2 ms 588 KB Output is correct
17 Correct 2 ms 724 KB Output is correct
18 Correct 2 ms 980 KB Output is correct
19 Correct 2 ms 724 KB Output is correct
20 Correct 2 ms 724 KB Output is correct
21 Correct 2 ms 1108 KB Output is correct
22 Correct 3 ms 1224 KB Output is correct
23 Correct 6 ms 3412 KB Output is correct
24 Correct 7 ms 3412 KB Output is correct
25 Correct 6 ms 3284 KB Output is correct
26 Correct 13 ms 6608 KB Output is correct
27 Correct 13 ms 6724 KB Output is correct
28 Correct 73 ms 32296 KB Output is correct
29 Correct 72 ms 32564 KB Output is correct
30 Correct 144 ms 67620 KB Output is correct
31 Correct 145 ms 66540 KB Output is correct
32 Correct 163 ms 66592 KB Output is correct
33 Correct 177 ms 66368 KB Output is correct
34 Correct 144 ms 66416 KB Output is correct
35 Correct 191 ms 66856 KB Output is correct
36 Correct 142 ms 67112 KB Output is correct