oj.uz

Submission #1116798

# Submission time Handle Problem Language Result Execution time Memory
1116798 2024-11-22T11:58:47 Z Mher777 Divide and conquer (IZhO14_divide) C++17
100 / 100
 67 ms 23632 KB 
#define _CRT_SECURE_NO_WARNINGS
#include <iostream>
#include <iomanip>
#include <array>
#include <string>
#include <algorithm>
#include <cmath>
#include <set>
#include <map>
#include <unordered_set>
#include <unordered_map>
#include <vector>
#include <stack>
#include <queue>
#include <deque>
#include <bitset>
#include <list>
#include <iterator>
#include <numeric>
#include <complex>
#include <utility>
#include <random>
#include <cassert>
#include <fstream>
using namespace std;
mt19937 rnd(time(nullptr));

/* -------------------- Typedefs -------------------- */

typedef int itn;
typedef long long ll;
typedef unsigned long long ull;
typedef double db;
typedef float fl;
typedef long double ld;

/* -------------------- Usings -------------------- */

using vi = vector<int>;
using vll = vector<ll>;
using mii = map<int, int>;
using mll = map<ll, ll>;
using pii = pair<int, int>;
using pll = pair<ll, ll>;

/* -------------------- Defines -------------------- */

#define ff first
#define ss second
#define pub push_back
#define pob pop_back
#define puf push_front
#define pof pop_front
#define mpr make_pair
#define yes cout<<"Yes\n"
#define no cout<<"No\n"
#define all(x) (x).begin(), (x).end()
#define USACO freopen("feast.in", "r", stdin); freopen("feast.out", "w", stdout);

/* -------------------- Constants -------------------- */

const int dx[8] = { -1, 0, 1, 0, -1, -1, 1, 1 };
const int dy[8] = { 0, -1, 0, 1, -1, 1, -1, 1 };
const int MAX = int(1e9 + 5);
const ll MAXL = ll(1e18) + 5ll;
const ll MOD = ll(1000000007);
const ll MOD2 = ll(998244353);

/* -------------------- Functions -------------------- */

void fastio() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
}

void precision(int x) {
    cout.setf(ios::fixed | ios::showpoint);
    cout.precision(x);
}

ll gcd(ll a, ll b) {
    if (a == 0 || b == 0) return(max(a, b));
    while (b) {
        a %= b;
        swap(a, b);
    }
    return a;
}

ll lcm(ll a, ll b) {
    return a / gcd(a, b) * b;
}

ll range_sum(ll a, ll b) {
    if (a > b) return 0ll;
    ll dif = a - 1, cnt = b - a + 1;
    ll ans = ((b - a + 1) * (b - a + 2)) / 2;
    ans += ((b - a + 1) * dif);
    return ans;
}

string dec_to_bin(ll a) {
    string s = "";
    for (ll i = a; i > 0; ) {
        ll k = i % 2;
        i /= 2;
        char c = k + 48;
        s += c;
    }
    if (a == 0) {
        s = "0";
    }
    reverse(all(s));
    return s;
}

ll bin_to_dec(string s) {
    ll num = 0;
    for (int i = 0; i < s.size(); i++) {
        num *= 2ll;
        num += (s[i] - '0');
    }
    return num;
}

ll factorial_by_mod(ll n, ll mod) {
    ll ans = 1;
    ll num;
    for (ll i = 1; i <= n; ++i) {
        num = i % mod;
        ans *= num;
        ans %= mod;
    }
    return ans;
}

bool isPrime(ll a) {
    if (a == 1) return false;
    for (ll i = 2; i * i <= a; i++) {
        if (a % i == 0) return false;
    }
    return true;
}

ll binpow(ll a, ll b) {
    if (!a) return 0;
    ll ans = 1;
    while (b) {
        if (b & 1) {
            ans *= a;
        }
        b >>= 1;
        a *= a;
    }
    return ans;
}

ll binpow_by_mod(ll a, ll b, ll mod) {
    if (!a) return 0;
    ll ans = 1;
    while (b) {
        if (b & 1) {
            ans *= a;
            ans %= mod;
        }
        b >>= 1;
        a *= a;
        a %= mod;
    }
    return ans;
}

/* -------------------- Solution -------------------- */

const int N = 100000, M = 20;
ll st[N][M];

ll qry(int l, int r) {
    if (r < l) return -MAXL;
    int lg = log2(r - l + 1);
    return max(st[l][lg], st[r - (1 << lg) + 1][lg]);
}

void slv() {
    int n;
    cin >> n;
    int lg = log2(n);
    vector<pair<ll, pll>> v(n + 1);
    vll pref_gold(n + 1), pref(n + 1), val(n + 1);
    ll ans = 0;
    for (int i = 1; i <= n; ++i) {
        cin >> v[i].ff >> v[i].ss.ff >> v[i].ss.ss;
        ans = max(ans, v[i].ss.ff);
        pref_gold[i] = pref_gold[i - 1] + v[i].ss.ff;
        val[i] = (i == 1 ? v[i].ss.ss : v[i].ss.ss - (v[i].ff - v[i - 1].ff));
        pref[i] = pref[i - 1] + val[i];
        st[i][0] = pref[i];
    }
    v[0].ff = v[1].ff;
    for (int l = 1; l <= lg; ++l) {
        for (int i = 1; i + (1 << l) - 1 <= n; ++i) {
            st[i][l] = max(st[i][l - 1], st[i + (1 << (l - 1))][l - 1]);
        }
    }
    for (int i = 1; i <= n; ++i) {
        int l = i + 1, r = n, mid, last = i + 1;
        ll dif = v[i].ff - v[i - 1].ff;
        if (qry(l, r) + dif < pref[i - 1]) continue;
        while (l <= r) {
            mid = (l + r) / 2;
            if (qry(mid, n) + dif >= pref[i - 1]) {
                l = mid + 1;
                last = mid;
            }
            else {
                r = mid - 1;
            }
        }
        ans = max(ans, pref_gold[last] - pref_gold[i - 1]);
    }
    cout << ans;
}

void cs() {
    int tstc = 1;
    //cin >> tstc;
    while (tstc--) {
        slv();
    }
}

void precalc() {
    return;
}

int main() {
    fastio();
    precalc();
    //precision(0);
    cs();
    return 0;
}

Compilation message

divide.cpp: In function 'll range_sum(ll, ll)':
divide.cpp:97:21: warning: unused variable 'cnt' [-Wunused-variable]
   97 |     ll dif = a - 1, cnt = b - a + 1;
      |                     ^~~
divide.cpp: In function 'll bin_to_dec(std::string)':
divide.cpp:120:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  120 |     for (int i = 0; i < s.size(); i++) {
      |                     ~~^~~~~~~~~~

Subtask #1
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct

Subtask #2
31.0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 504 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 1 ms 592 KB Output is correct
17 Correct 1 ms 592 KB Output is correct
18 Correct 2 ms 2640 KB Output is correct
19 Correct 1 ms 592 KB Output is correct
20 Correct 2 ms 592 KB Output is correct
21 Correct 2 ms 2788 KB Output is correct
22 Correct 2 ms 2640 KB Output is correct
23 Correct 3 ms 2896 KB Output is correct
24 Correct 2 ms 3048 KB Output is correct

Subtask #3
52.0 / 52.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 504 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 1 ms 592 KB Output is correct
17 Correct 1 ms 592 KB Output is correct
18 Correct 2 ms 2640 KB Output is correct
19 Correct 1 ms 592 KB Output is correct
20 Correct 2 ms 592 KB Output is correct
21 Correct 2 ms 2788 KB Output is correct
22 Correct 2 ms 2640 KB Output is correct
23 Correct 3 ms 2896 KB Output is correct
24 Correct 2 ms 3048 KB Output is correct
25 Correct 3 ms 3064 KB Output is correct
26 Correct 7 ms 3048 KB Output is correct
27 Correct 5 ms 3308 KB Output is correct
28 Correct 24 ms 12112 KB Output is correct
29 Correct 25 ms 12380 KB Output is correct
30 Correct 51 ms 23632 KB Output is correct
31 Correct 54 ms 22344 KB Output is correct
32 Correct 52 ms 22608 KB Output is correct
33 Correct 67 ms 22352 KB Output is correct
34 Correct 46 ms 22376 KB Output is correct
35 Correct 33 ms 22744 KB Output is correct
36 Correct 37 ms 23024 KB Output is correct