oj.uz

Submission #886337

# Submission time Handle Problem Language Result Execution time Memory
886337 2023-12-11T22:19:49 Z Kutan Measures (CEOI22_measures) C++14
100 / 100
 238 ms 29968 KB 
// Cao Quang Hung
#include <cassert>
#include <cctype>
#include <cerrno>
#include <cfloat>
#include <ciso646>
#include <climits>
#include <clocale>
#include <cmath>
#include <csetjmp>
#include <csignal>
#include <cstdarg>
#include <cstddef>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <ctime>
#include <ccomplex>
#include <cfenv>
#include <cinttypes>
#include <cstdbool>
#include <cstdint>
#include <ctgmath>
#include <cwchar>
#include <cwctype>
#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <exception>
#include <fstream>
#include <functional>
#include <iomanip>
#include <ios>
#include <iosfwd>
#include <iostream>
#include <istream>
#include <iterator>
#include <limits>
#include <list>
#include <locale>
#include <map>
#include <memory>
#include <new>
#include <numeric>
#include <ostream>
#include <queue>
#include <set>
#include <sstream>
#include <stack>
#include <stdexcept>
#include <streambuf>
#include <string>
#include <typeinfo>
#include <utility>
#include <valarray>
#include <vector>
#include <array>
#include <atomic>
#include <chrono>
#include <condition_variable>
#include <forward_list>
#include <future>
#include <initializer_list>
#include <mutex>
#include <random>
#include <ratio>
#include <regex>
#include <scoped_allocator>
#include <system_error>
#include <thread>
#include <tuple>
#include <typeindex>
#include <type_traits>
#include <unordered_map>
#include <unordered_set>

using namespace std;
#define pb push_back
#define eb emplace_back
#define mp make_pair
#define pii pair<int,int>
#define pll pair<long long , long long>
#define vi vector<int>
#define vpii vector<pii>
#define SZ(x) ((int)(x.size()))
#define fi first
#define se second
#define IN(x,y) ((y).find((x))!=(y).end())
#define ALL(t) t.begin(),t.end()
#define FOREACH(i,t) for (typeof(t.begin()) i=t.begin(); i!=t.end(); i++)
#define REP(i,a,b) for(int (i)=(a);(i)<=(b);++i)
#define REPD(i,a,b) for(int (i)=(a); (i)>=(b);--i)
#define FOR(i, n) for (int (i) = 0; (i) < (n); ++(i))
#define dem(x) __builtin_popcount(x)
#define Mask(x) (1LL << (x))
#define BIT(x, i) ((x) >> (i) & 1)
#define ln '\n'
#define io_faster ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);
///mt19937 rnd(time(0));

const int INF = 1e9 , mod = 1e9 + 7;

template <class T1, class T2>
inline T1 mul(T1& x, const T2 &k){ return x = (1LL * x * k) % mod; }

template <class T1 , class T2>
inline T1 pw(T1 x, T2 k){T1 res = 1; for (; k ; k >>= 1){ if (k & 1) mul(res, x); mul(x, x); } return res;}

template <class T>
inline bool minimize(T &x, const T &y){ if (x > y){x = y; return 1;} return 0; }

template <class T>
inline bool maximize(T &x, const T &y){ if (x < y){x = y; return 1;} return 0; }

template <class T>
inline void add(T &x , const T &y){ if ((x += y) >= mod) x -= mod; }

template <class T>
inline T product (const T &x , const T &y) { return 1LL * x * y % mod; }

#define PROB "a"
void file(){
    if(fopen(PROB".inp", "r")){
        freopen(PROB".inp","r",stdin);
        freopen(PROB".out","w",stdout);
    }
}
void sinh_(){
//    srand(time(0));
//    freopen(PROB".inp" , "w" , stdout);
//    int n;
}

typedef long long ll;
typedef double db;
const int N = 2e5 + 50;

int n, m;
ll a[N], d, b[N];

void readip(){
    cin >> n >> m >> d; 
    REP(i, 1, n) cin >> a[i], a[i] *= 2LL;
}

namespace sub12{
    bool check(ll D) {
        ll f = -1e18;   
        REP(i, 1, n) {
            if (a[i] <= f) {
                if (f - a[i] > D) return 0;
                else f += d;
            }
            else {
                ll tmp = max(f, a[i] - D);
                f = tmp + d;
            }
        }
        return 1;
    }

    void solve() {
        d *= 2LL;
        REP(i, 1, m) {
            cin >> a[++n]; a[n] *= 2;
            sort(a + 1, a + n + 1);
            ll res = 1e18, l = 0, r = 1LL * (n - 1) * d;
            while(l <= r) {
                ll mid = (l + r) >> 1;
                if (check(mid)) res = mid, r = mid - 1;
                else l = mid + 1;
            }
            cout << res / 2; 
            if (res & 1) cout << ".5";
            cout << ' ';
        }
    }
};

namespace sub4 {
    struct Fenwick{
        int fen[N] = {};
        void upd(int i, int inc) {
            for (; i <= m; i += i & -i) fen[i] += inc;
        }
        int get(int i) {
            int res(0); 
            for (; i > 0; i -= i & -i) res += fen[i];
            return res;
        }
    } Fen;

    struct segtree{
        struct Node{
            ll Max, Min, lz;
            Node() {
                Max = -1e18, Min = 1e18;
                lz = 0;
            }

            void inc(ll val) {
                Max += val;
                Min += val;
                lz += val;
            }
        } it[N << 2];

        void down(int id) {
            ll &lz = it[id].lz;
            if (!lz) return;
            it[id << 1].inc(lz);
            it[id << 1 | 1].inc(lz);
            lz = 0;
        }

        void update(int u, int v, ll val, int id = 1, int l = 1, int r = m) {
            if (u <= l && r <= v)  {
                it[id].inc(val);
                return;
            }
            int mid = (l + r) >> 1;
            down(id);
            if (u <= mid) update(u, v, val, id << 1, l, mid);
            if (v > mid) update(u, v, val, id << 1 | 1, mid + 1, r);
            it[id].Max = max(it[id << 1].Max, it[id << 1 | 1].Max);
            it[id].Min = min(it[id << 1].Min, it[id << 1 | 1].Min);
        }

        void upd(int u, ll val, int id = 1, int l = 1, int r = m) {
            if (l == r) {
                it[id].Min = it[id].Max = val;
                return;
            }
            down(id);
            int mid = (l + r) >> 1;
            if (u <= mid) upd(u, val, id << 1, l, mid);
            else upd(u, val, id << 1 | 1, mid + 1, r);
            it[id].Max = max(it[id << 1].Max, it[id << 1 | 1].Max);
            it[id].Min = min(it[id << 1].Min, it[id << 1 | 1].Min);
        }  

        ll getMax(int u, int v, int id = 1, int l = 1, int r = m) {
            if (u <= l && r <= v) return it[id].Max;
            int mid = (l + r) >> 1;
            down(id);
            ll res = -1e18;
            if (u <= mid) maximize(res, getMax(u, v, id << 1, l, mid));
            if (v > mid) maximize(res, getMax(u, v, id << 1 | 1, mid + 1, r));
            return res;
        }

        ll getMin(int u, int v, int id = 1, int l = 1, int r = m) {
            if (u <= l && r <= v) return it[id].Min;
            down(id);
            int mid = (l + r) >> 1;
            ll res = 1e18;
            if (u <= mid) minimize(res, getMin(u, v, id << 1, l, mid));
            if (v > mid) minimize(res, getMin(u, v, id << 1 | 1, mid + 1, r));
            return res;
        }
    } ST;

    int idx[N];
    void solve() {
        vpii vec;
        REP(i, 1, m) vec.eb(b[i], i);
        sort(ALL(vec));
        FOR(i, vec.size()) idx[vec[i].se] = i+1;

        ll res = 0;
        REP(i, 1, m) {
            int id = idx[i];
            Fen.upd(id, +1);
            int stt = Fen.get(id);

            ll val = b[i] - 1LL * d * stt;
            ll MaxLef = -1e18, MinRig = 1e18;
            if (id > 1) MaxLef = ST.getMax(1, id - 1);
            if (id < m) {
                ST.update(id + 1, m, -d);
                MinRig = ST.getMin(id + 1, m);
            }   
            maximize(res, MaxLef - val);
            maximize(res, val - MinRig);
            maximize(res, MaxLef - MinRig);
            ST.upd(id, val);
            cout << res/2;
            if (res & 1) cout << ".5";
            cout << ' ';
        }
    }   
}; 

void solve(){   
    if (m <= 10) {
        sub12::solve();
        return;
    }
    REP(i, 1, m) cin >> b[i];
    sub4::solve();
}   

int main(){
    sinh_();
    io_faster
    file();
    int t = 1;
//    cin >> t;
    while (t--){
        readip();
        solve();
    }
}

Compilation message

Main.cpp: In function 'void readip()':
Main.cpp:92:28: warning: unnecessary parentheses in declaration of 'i' [-Wparentheses]
   92 | #define REP(i,a,b) for(int (i)=(a);(i)<=(b);++i)
      |                            ^
Main.cpp:144:5: note: in expansion of macro 'REP'
  144 |     REP(i, 1, n) cin >> a[i], a[i] *= 2LL;
      |     ^~~
Main.cpp: In function 'bool sub12::check(ll)':
Main.cpp:92:28: warning: unnecessary parentheses in declaration of 'i' [-Wparentheses]
   92 | #define REP(i,a,b) for(int (i)=(a);(i)<=(b);++i)
      |                            ^
Main.cpp:150:9: note: in expansion of macro 'REP'
  150 |         REP(i, 1, n) {
      |         ^~~
Main.cpp: In function 'void sub12::solve()':
Main.cpp:92:28: warning: unnecessary parentheses in declaration of 'i' [-Wparentheses]
   92 | #define REP(i,a,b) for(int (i)=(a);(i)<=(b);++i)
      |                            ^
Main.cpp:165:9: note: in expansion of macro 'REP'
  165 |         REP(i, 1, m) {
      |         ^~~
Main.cpp: In function 'void sub4::solve()':
Main.cpp:92:28: warning: unnecessary parentheses in declaration of 'i' [-Wparentheses]
   92 | #define REP(i,a,b) for(int (i)=(a);(i)<=(b);++i)
      |                            ^
Main.cpp:267:9: note: in expansion of macro 'REP'
  267 |         REP(i, 1, m) vec.eb(b[i], i);
      |         ^~~
Main.cpp:94:28: warning: unnecessary parentheses in declaration of 'i' [-Wparentheses]
   94 | #define FOR(i, n) for (int (i) = 0; (i) < (n); ++(i))
      |                            ^
Main.cpp:269:9: note: in expansion of macro 'FOR'
  269 |         FOR(i, vec.size()) idx[vec[i].se] = i+1;
      |         ^~~
Main.cpp:94:41: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   94 | #define FOR(i, n) for (int (i) = 0; (i) < (n); ++(i))
      |                                     ~~~~^~~~~
Main.cpp:269:9: note: in expansion of macro 'FOR'
  269 |         FOR(i, vec.size()) idx[vec[i].se] = i+1;
      |         ^~~
Main.cpp:92:28: warning: unnecessary parentheses in declaration of 'i' [-Wparentheses]
   92 | #define REP(i,a,b) for(int (i)=(a);(i)<=(b);++i)
      |                            ^
Main.cpp:272:9: note: in expansion of macro 'REP'
  272 |         REP(i, 1, m) {
      |         ^~~
Main.cpp: In function 'void solve()':
Main.cpp:92:28: warning: unnecessary parentheses in declaration of 'i' [-Wparentheses]
   92 | #define REP(i,a,b) for(int (i)=(a);(i)<=(b);++i)
      |                            ^
Main.cpp:300:5: note: in expansion of macro 'REP'
  300 |     REP(i, 1, m) cin >> b[i];
      |     ^~~
Main.cpp: In function 'void file()':
Main.cpp:125:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  125 |         freopen(PROB".inp","r",stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
Main.cpp:126:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  126 |         freopen(PROB".out","w",stdout);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 22872 KB Output is correct
2 Correct 5 ms 22872 KB Output is correct
3 Correct 5 ms 22876 KB Output is correct
4 Correct 6 ms 22876 KB Output is correct
5 Correct 4 ms 23048 KB Output is correct
6 Correct 5 ms 22876 KB Output is correct
7 Correct 5 ms 22876 KB Output is correct
8 Correct 5 ms 22876 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 22872 KB Output is correct
2 Correct 5 ms 22872 KB Output is correct
3 Correct 5 ms 22876 KB Output is correct
4 Correct 6 ms 22876 KB Output is correct
5 Correct 4 ms 23048 KB Output is correct
6 Correct 5 ms 22876 KB Output is correct
7 Correct 5 ms 22876 KB Output is correct
8 Correct 5 ms 22876 KB Output is correct
9 Correct 156 ms 25696 KB Output is correct
10 Correct 238 ms 25700 KB Output is correct
11 Correct 97 ms 25944 KB Output is correct
12 Correct 233 ms 25700 KB Output is correct
13 Correct 96 ms 25032 KB Output is correct
14 Correct 157 ms 25672 KB Output is correct
15 Correct 132 ms 24920 KB Output is correct
16 Correct 152 ms 25684 KB Output is correct

Subtask #3
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 135 ms 27760 KB Output is correct
2 Correct 142 ms 29640 KB Output is correct
3 Correct 147 ms 29968 KB Output is correct
4 Correct 134 ms 27588 KB Output is correct
5 Correct 140 ms 28744 KB Output is correct
6 Correct 139 ms 28360 KB Output is correct
7 Correct 140 ms 28868 KB Output is correct
8 Correct 136 ms 27592 KB Output is correct
9 Correct 142 ms 27844 KB Output is correct
10 Correct 146 ms 29880 KB Output is correct
11 Correct 139 ms 28360 KB Output is correct
12 Correct 143 ms 29380 KB Output is correct
13 Correct 156 ms 27480 KB Output is correct
14 Correct 140 ms 29384 KB Output is correct
15 Correct 164 ms 29440 KB Output is correct
16 Correct 134 ms 27076 KB Output is correct
17 Correct 138 ms 29184 KB Output is correct

Subtask #4
41.0 / 41.0

# Verdict Execution time Memory Grader output
1 Correct 135 ms 27760 KB Output is correct
2 Correct 142 ms 29640 KB Output is correct
3 Correct 147 ms 29968 KB Output is correct
4 Correct 134 ms 27588 KB Output is correct
5 Correct 140 ms 28744 KB Output is correct
6 Correct 139 ms 28360 KB Output is correct
7 Correct 140 ms 28868 KB Output is correct
8 Correct 136 ms 27592 KB Output is correct
9 Correct 142 ms 27844 KB Output is correct
10 Correct 146 ms 29880 KB Output is correct
11 Correct 139 ms 28360 KB Output is correct
12 Correct 143 ms 29380 KB Output is correct
13 Correct 156 ms 27480 KB Output is correct
14 Correct 140 ms 29384 KB Output is correct
15 Correct 164 ms 29440 KB Output is correct
16 Correct 134 ms 27076 KB Output is correct
17 Correct 138 ms 29184 KB Output is correct
18 Correct 212 ms 28084 KB Output is correct
19 Correct 206 ms 29652 KB Output is correct
20 Correct 147 ms 29528 KB Output is correct
21 Correct 167 ms 27604 KB Output is correct
22 Correct 181 ms 28012 KB Output is correct
23 Correct 157 ms 27984 KB Output is correct
24 Correct 203 ms 28356 KB Output is correct
25 Correct 136 ms 27344 KB Output is correct
26 Correct 201 ms 27724 KB Output is correct
27 Correct 206 ms 29892 KB Output is correct
28 Correct 183 ms 27848 KB Output is correct
29 Correct 180 ms 29128 KB Output is correct
30 Correct 169 ms 27340 KB Output is correct
31 Correct 176 ms 29472 KB Output is correct
32 Correct 157 ms 29380 KB Output is correct
33 Correct 222 ms 26996 KB Output is correct
34 Correct 179 ms 28812 KB Output is correct