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Submission #772191

# Submission time Handle Problem Language Result Execution time Memory
772191 2023-07-03T17:54:09 Z danikoynov Potatoes and fertilizers (LMIO19_bulves) C++14
20 / 100
 1000 ms 18456 KB 
#include <iostream>
#include <set> 
#include <cassert>

#define endl '\n'
 
typedef long long ll;

const int BUFF_SIZE = 1e6;
int buffPos = BUFF_SIZE - 1;
char buff[BUFF_SIZE];

void readChar()
{
    if (++buffPos == BUFF_SIZE) fread(buff, BUFF_SIZE, 1, stdin), buffPos = 0;
}

void readInt(int &num)
{
    num = 0;
    for (; '0' > buff[buffPos] || buff[buffPos] > '9' ; readChar());
    for (; '0' <= buff[buffPos] && buff[buffPos] <= '9' ; readChar())
        num = 10 * num + buff[buffPos] - '0';
}

struct slope_trick
{
    const int inf = 1e9;
 
    std::multiset < ll > left_set, right_set;
    ll height;
 
    slope_trick()
    {
        height = 0;
    }
 
    void add_basic(int v) /// adds |x - v|
    {
        ll left = -inf;
        ll right = inf;
        if (!left_set.empty())
            left = *left_set.rbegin();
        if (!right_set.empty())
            right = *right_set.begin();
 
 
        if (v >= left && v <= right) /// function on base
        {
            left_set.insert(v);
            right_set.insert(v);
        }
        else
        if (v < left)
        {
            left_set.erase(left_set.find(left));
            right_set.insert(left);
 
            left_set.insert(v);
            left_set.insert(v);
            
            height = height + abs(left - v);
        }
        else
        if (v > right)
        {
            ///std::cout << v << " " << right << endl; 
            right_set.erase(right_set.begin());
            left_set.insert(right);
 
            right_set.insert(v);
            right_set.insert(v);
 
            height = height + abs(right - v);
        }
    }
 
 
    void print_slope_trick()
    {
        std::cout << "left_slope" << endl;
        for (int cor : left_set)
            std::cout << cor << " ";
            std::cout << endl;
            std::cout << "right_slope" << endl;
        for (int cor : right_set)
            std::cout << cor << " ";
        std::cout << endl;
        std::cout << "height " << height << endl;
    }
 
    ll get_right()
    {
        if (right_set.empty())
            return inf;
        return *right_set.begin();
    }
 
    ll get_left()
    {
        if (left_set.empty())
            return -inf;
        return *left_set.rbegin();
    }
 
    void prefix_minimum()
    {
        int last_size = 1e9;
        while(left_set.size() > 0)
        {
            assert(last_size != left_set.size());
            last_size = left_set.size();
            ll val = *left_set.begin();
            if (val >= 0)
                break;
            left_set.erase(left_set.find(val));
        }
 
        ll slope = 0, base = height, last = get_right();
        while (get_right() <= 0)
        {
            ll distance = get_right() - last;
            base = base + distance * slope;
            slope ++;
            last = last + distance;
            right_set.erase(right_set.begin());
        }
        
        if (slope != 0)
        {
            base = base + (- last) * slope;
            right_set.insert(0);
        }
        height = base;
 
        right_set.clear();
        ///right_set.clear();
    }
 
    ll query_vlaue(ll debit)
    {   
        ll last = get_left(), slope = 0, base = height;
        while(last > debit)
        {
            ll distance = last - get_left();
            base = base + distance * slope;
            slope ++;
            last = last - distance;
            left_set.erase(left_set.find(*left_set.rbegin()));
        }

        if (slope != 0)
        {
            base = base + (last - debit) * slope;
        }
 
        return base;
    }
};
 
 
const int maxn = 500010;
 
int n;
int a[maxn], b[maxn];
ll x[maxn], pref[maxn];
 
void solve()
{
    readInt(n);
    for (int i = 1; i <= n; i ++)
    {
        readInt(a[i]);
        readInt(b[i]);
        x[i] = a[i] - b[i];
        pref[i] = pref[i - 1] + x[i];
    }
 
    slope_trick st;
    for (int i = 1; i <= n; i ++)
    {
        st.add_basic(pref[i]);
        st.prefix_minimum();
        //std::cout << "--------------------" << endl;
        //st.print_slope_trick();
    }
    ///std::cout << "dasdas" << endl;
    ll ans = st.query_vlaue(pref[n]);
    ///std::cout << "-----------------" << endl;
    std::cout << ans << endl;
}
 
void speed()
{
    std::ios_base::sync_with_stdio(false);
    std::cin.tie(NULL);
    std::cout.tie(NULL);
}
 
int main()
{
    speed();
    solve();
    return 0;
}

Compilation message

bulves.cpp: In member function 'void slope_trick::print_slope_trick()':
bulves.cpp:82:9: warning: this 'for' clause does not guard... [-Wmisleading-indentation]
   82 |         for (int cor : left_set)
      |         ^~~
bulves.cpp:84:13: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'for'
   84 |             std::cout << endl;
      |             ^~~
In file included from /usr/include/c++/10/cassert:44,
                 from bulves.cpp:3:
bulves.cpp: In member function 'void slope_trick::prefix_minimum()':
bulves.cpp:111:30: warning: comparison of integer expressions of different signedness: 'int' and 'std::multiset<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  111 |             assert(last_size != left_set.size());
      |                    ~~~~~~~~~~^~~~~~~~~~~~~~~~~~
bulves.cpp: In function 'void readChar()':
bulves.cpp:15:38: warning: ignoring return value of 'size_t fread(void*, size_t, size_t, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   15 |     if (++buffPos == BUFF_SIZE) fread(buff, BUFF_SIZE, 1, stdin), buffPos = 0;
      |                                 ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 12 ms 2856 KB Output is correct
5 Correct 29 ms 5400 KB Output is correct
6 Correct 98 ms 18456 KB Output is correct
7 Correct 79 ms 14400 KB Output is correct
8 Execution timed out 1089 ms 13040 KB Time limit exceeded
9 Halted 0 ms 0 KB -

Subtask #2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 12 ms 2856 KB Output is correct
5 Correct 29 ms 5400 KB Output is correct
6 Correct 98 ms 18456 KB Output is correct
7 Correct 79 ms 14400 KB Output is correct
8 Execution timed out 1089 ms 13040 KB Time limit exceeded
9 Halted 0 ms 0 KB -

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 468 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 1 ms 468 KB Output is correct
9 Correct 1 ms 468 KB Output is correct
10 Correct 1 ms 468 KB Output is correct

Subtask #4
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 1 ms 468 KB Output is correct
9 Correct 1 ms 468 KB Output is correct
10 Correct 1 ms 468 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 1 ms 468 KB Output is correct
13 Correct 1 ms 596 KB Output is correct
14 Correct 1 ms 596 KB Output is correct
15 Correct 1 ms 596 KB Output is correct
16 Execution timed out 1070 ms 468 KB Time limit exceeded
17 Halted 0 ms 0 KB -

Subtask #5
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 468 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 1 ms 468 KB Output is correct
9 Correct 1 ms 468 KB Output is correct
10 Correct 1 ms 468 KB Output is correct
11 Correct 12 ms 2856 KB Output is correct
12 Correct 29 ms 5400 KB Output is correct
13 Correct 98 ms 18456 KB Output is correct
14 Correct 79 ms 14400 KB Output is correct
15 Execution timed out 1089 ms 13040 KB Time limit exceeded
16 Halted 0 ms 0 KB -