Submission #455208

# Submission time Handle Problem Language Result Execution time Memory
455208 2021-08-05T16:58:21 Z blue Cake 3 (JOI19_cake3) C++17
100 / 100
3855 ms 16600 KB
#include <iostream>
#include <vector>
#include <algorithm>
#include <set>
using namespace std;

struct piece
{
    long long V;
    long long C;
};

bool operator < (piece A, piece B)
{
    return A.C < B.C;
}

long long res = -1'000'000'000'000'000'000LL;

int N, M;
vector<piece> P;

int L;
int R; //exclusive endpoints
multiset<long long> high_values;
multiset<long long> low_values;
long long high_values_sum;

void insert_to_set(long long insert_value)
{
    high_values.insert(insert_value);
    high_values_sum += insert_value;

    if(high_values.size() > M-2)
    {
        high_values_sum -= *high_values.begin();
        low_values.insert(*high_values.begin());
        high_values.erase(high_values.find(*high_values.begin()));
    }
}

void expand_left()
{
    L--;
    insert_to_set(P[L+1].V);
}

void expand_right()
{
    R++;
    insert_to_set(P[R-1].V);
}

void contract_left()
{
    long long remove_value = P[L+1].V;
    L++;
    if(low_values.find(remove_value) != low_values.end())
    {
        low_values.erase(low_values.find(remove_value));
    }
    else
    {
        high_values.erase(high_values.find(remove_value));
        high_values_sum -= remove_value;

        if(high_values.size() < M-2 && low_values.size() >= 1)
        {
            high_values_sum += *low_values.rbegin();
            high_values.insert(*low_values.rbegin());
            low_values.erase(low_values.find(*low_values.rbegin()));
        }
    }
}

void contract_right()
{
    // cerr << "contract right\n";
    // cerr << "original R = " << R << '\n';
    long long remove_value = P[R-1].V;
    R--;
    if(low_values.find(remove_value) != low_values.end())
    {
        // cerr << "case 1 entered\n";
        low_values.erase(low_values.find(remove_value));
        // cerr << "case 1 successful\n";
    }
    else
    {
        // cerr << "case 2 entered\n";
        // cerr << remove_value << '\n';
        // for(long long h: high_values) cerr << h << ' ';
        // cerr << '\n';
        high_values.erase(high_values.find(remove_value));
        high_values_sum -= remove_value;
        // cerr << "X\n";

        if(high_values.size() < M-2 && low_values.size() >= 1)
        {
            high_values_sum += *low_values.rbegin();
            high_values.insert(*low_values.rbegin());
            low_values.erase(low_values.find(*low_values.rbegin()));
        }
        // cerr << "case 2 successful\n";
    }
}



long long get_curr_score()
{
    // cerr << "\n\n";
    // cerr << L << ' ' << R << ' ' << ' ' << P[L].V + high_values_sum + P[R].V  -  2*(P[R].C - P[L].C) << '\n';
    // cerr << P[L].V << ' ' << P[R].V << ' ' << P[L].C << ' ' << P[R].C << '\n';
    // cerr << "H: ";
    // for(long long h: high_values) cerr << h << ' ';
    // cerr << "\n";
    return P[L].V + high_values_sum + P[R].V  -  2*(P[R].C - P[L].C);
}


void solve(int l1, int l2, int r1, int r2)
{
    int l = (l1+l2)/2;

    // cerr << "\n\n\n";
    // cerr << "solve " << l1 << ' ' << l2 << ' ' << r1 << ' ' << r2 << '\n';
    // cerr << "l = " << l << '\n';

    while(l < L)
        expand_left();

    // cerr << "A\n";

    while(R < max(r1, l+M-1))
        expand_right();
// cerr << "B\n";
    while(L < l)
        contract_left();
// cerr << "C\n";
    // cerr << r1 << ' ' << l << ' ' << M << ' ' << l+M-1 << ' ' << R << '\n';
    while(max(r1, l+M-1) < R)
        contract_right();

    // cerr << "D\n";

    // cerr << "L, R = " << L << ' ' << R << '\n';

    int bestR = R;
    long long best_score = get_curr_score();

    while(R+1 <= r2)
    {
        // cerr << "! ";
        // cerr << R << ' ' << r2 << '\n';
        expand_right();
        if(get_curr_score() > best_score)
        {
            best_score = get_curr_score();
            bestR = R;
        }
    }

    // cerr << l << ' ' << bestR << ' ' << best_score << '\n';

    res = max(res, best_score);
    if(l1 <= l-1)
        solve(l1, l-1, r1, bestR);
    if(l+1 <= l2)
        solve(l+1, l2, bestR, r2);
}

int main()
{
    cin >> N >> M;
    P = vector<piece>(N);
    for(int i = 0; i < N; i++) cin >> P[i].V >> P[i].C;
    sort(P.begin(), P.end());

    L = 0;
    R = 1;

    solve(0, N-M, M-1, N-1);

    cout << res << '\n';
}

Compilation message

cake3.cpp: In function 'void insert_to_set(long long int)':
cake3.cpp:34:27: warning: comparison of integer expressions of different signedness: 'std::multiset<long long int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   34 |     if(high_values.size() > M-2)
      |        ~~~~~~~~~~~~~~~~~~~^~~~~
cake3.cpp: In function 'void contract_left()':
cake3.cpp:67:31: warning: comparison of integer expressions of different signedness: 'std::multiset<long long int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   67 |         if(high_values.size() < M-2 && low_values.size() >= 1)
      |            ~~~~~~~~~~~~~~~~~~~^~~~~
cake3.cpp: In function 'void contract_right()':
cake3.cpp:98:31: warning: comparison of integer expressions of different signedness: 'std::multiset<long long int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   98 |         if(high_values.size() < M-2 && low_values.size() >= 1)
      |            ~~~~~~~~~~~~~~~~~~~^~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 1 ms 204 KB Output is correct
17 Correct 1 ms 204 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 204 KB Output is correct
20 Correct 1 ms 204 KB Output is correct
21 Correct 1 ms 204 KB Output is correct
22 Correct 1 ms 204 KB Output is correct
23 Correct 1 ms 204 KB Output is correct
24 Correct 1 ms 204 KB Output is correct
25 Correct 1 ms 204 KB Output is correct
26 Correct 1 ms 204 KB Output is correct
27 Correct 1 ms 204 KB Output is correct
28 Correct 1 ms 204 KB Output is correct
29 Correct 1 ms 204 KB Output is correct
30 Correct 1 ms 204 KB Output is correct
31 Correct 1 ms 204 KB Output is correct
32 Correct 1 ms 204 KB Output is correct
33 Correct 1 ms 204 KB Output is correct
34 Correct 1 ms 204 KB Output is correct
35 Correct 1 ms 204 KB Output is correct
36 Correct 1 ms 204 KB Output is correct
37 Correct 1 ms 204 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 1 ms 204 KB Output is correct
17 Correct 1 ms 204 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 204 KB Output is correct
20 Correct 1 ms 204 KB Output is correct
21 Correct 1 ms 204 KB Output is correct
22 Correct 1 ms 204 KB Output is correct
23 Correct 1 ms 204 KB Output is correct
24 Correct 1 ms 204 KB Output is correct
25 Correct 1 ms 204 KB Output is correct
26 Correct 1 ms 204 KB Output is correct
27 Correct 1 ms 204 KB Output is correct
28 Correct 1 ms 204 KB Output is correct
29 Correct 1 ms 204 KB Output is correct
30 Correct 1 ms 204 KB Output is correct
31 Correct 1 ms 204 KB Output is correct
32 Correct 1 ms 204 KB Output is correct
33 Correct 1 ms 204 KB Output is correct
34 Correct 1 ms 204 KB Output is correct
35 Correct 1 ms 204 KB Output is correct
36 Correct 1 ms 204 KB Output is correct
37 Correct 1 ms 204 KB Output is correct
38 Correct 10 ms 332 KB Output is correct
39 Correct 10 ms 332 KB Output is correct
40 Correct 7 ms 332 KB Output is correct
41 Correct 7 ms 332 KB Output is correct
42 Correct 5 ms 332 KB Output is correct
43 Correct 6 ms 332 KB Output is correct
44 Correct 9 ms 332 KB Output is correct
45 Correct 10 ms 396 KB Output is correct
46 Correct 10 ms 332 KB Output is correct
47 Correct 10 ms 332 KB Output is correct
48 Correct 10 ms 332 KB Output is correct
49 Correct 8 ms 332 KB Output is correct
50 Correct 8 ms 332 KB Output is correct
51 Correct 8 ms 332 KB Output is correct
52 Correct 7 ms 332 KB Output is correct
53 Correct 8 ms 332 KB Output is correct
54 Correct 6 ms 332 KB Output is correct
55 Correct 5 ms 332 KB Output is correct
56 Correct 4 ms 332 KB Output is correct
57 Correct 5 ms 320 KB Output is correct
58 Correct 5 ms 332 KB Output is correct
59 Correct 5 ms 332 KB Output is correct
60 Correct 7 ms 388 KB Output is correct
61 Correct 5 ms 392 KB Output is correct
62 Correct 4 ms 332 KB Output is correct
63 Correct 6 ms 332 KB Output is correct
64 Correct 5 ms 332 KB Output is correct
65 Correct 10 ms 392 KB Output is correct
66 Correct 9 ms 388 KB Output is correct
67 Correct 10 ms 332 KB Output is correct
68 Correct 9 ms 332 KB Output is correct
69 Correct 8 ms 392 KB Output is correct
70 Correct 8 ms 396 KB Output is correct
71 Correct 10 ms 392 KB Output is correct
72 Correct 6 ms 400 KB Output is correct
73 Correct 9 ms 332 KB Output is correct
74 Correct 3 ms 332 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 1 ms 204 KB Output is correct
17 Correct 1 ms 204 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 204 KB Output is correct
20 Correct 1 ms 204 KB Output is correct
21 Correct 1 ms 204 KB Output is correct
22 Correct 1 ms 204 KB Output is correct
23 Correct 1 ms 204 KB Output is correct
24 Correct 1 ms 204 KB Output is correct
25 Correct 1 ms 204 KB Output is correct
26 Correct 1 ms 204 KB Output is correct
27 Correct 1 ms 204 KB Output is correct
28 Correct 1 ms 204 KB Output is correct
29 Correct 1 ms 204 KB Output is correct
30 Correct 1 ms 204 KB Output is correct
31 Correct 1 ms 204 KB Output is correct
32 Correct 1 ms 204 KB Output is correct
33 Correct 1 ms 204 KB Output is correct
34 Correct 1 ms 204 KB Output is correct
35 Correct 1 ms 204 KB Output is correct
36 Correct 1 ms 204 KB Output is correct
37 Correct 1 ms 204 KB Output is correct
38 Correct 10 ms 332 KB Output is correct
39 Correct 10 ms 332 KB Output is correct
40 Correct 7 ms 332 KB Output is correct
41 Correct 7 ms 332 KB Output is correct
42 Correct 5 ms 332 KB Output is correct
43 Correct 6 ms 332 KB Output is correct
44 Correct 9 ms 332 KB Output is correct
45 Correct 10 ms 396 KB Output is correct
46 Correct 10 ms 332 KB Output is correct
47 Correct 10 ms 332 KB Output is correct
48 Correct 10 ms 332 KB Output is correct
49 Correct 8 ms 332 KB Output is correct
50 Correct 8 ms 332 KB Output is correct
51 Correct 8 ms 332 KB Output is correct
52 Correct 7 ms 332 KB Output is correct
53 Correct 8 ms 332 KB Output is correct
54 Correct 6 ms 332 KB Output is correct
55 Correct 5 ms 332 KB Output is correct
56 Correct 4 ms 332 KB Output is correct
57 Correct 5 ms 320 KB Output is correct
58 Correct 5 ms 332 KB Output is correct
59 Correct 5 ms 332 KB Output is correct
60 Correct 7 ms 388 KB Output is correct
61 Correct 5 ms 392 KB Output is correct
62 Correct 4 ms 332 KB Output is correct
63 Correct 6 ms 332 KB Output is correct
64 Correct 5 ms 332 KB Output is correct
65 Correct 10 ms 392 KB Output is correct
66 Correct 9 ms 388 KB Output is correct
67 Correct 10 ms 332 KB Output is correct
68 Correct 9 ms 332 KB Output is correct
69 Correct 8 ms 392 KB Output is correct
70 Correct 8 ms 396 KB Output is correct
71 Correct 10 ms 392 KB Output is correct
72 Correct 6 ms 400 KB Output is correct
73 Correct 9 ms 332 KB Output is correct
74 Correct 3 ms 332 KB Output is correct
75 Correct 3432 ms 12072 KB Output is correct
76 Correct 3708 ms 11632 KB Output is correct
77 Correct 2991 ms 15784 KB Output is correct
78 Correct 3079 ms 15792 KB Output is correct
79 Correct 264 ms 15940 KB Output is correct
80 Correct 492 ms 15392 KB Output is correct
81 Correct 2932 ms 13576 KB Output is correct
82 Correct 3855 ms 13492 KB Output is correct
83 Correct 3427 ms 14048 KB Output is correct
84 Correct 3723 ms 13948 KB Output is correct
85 Correct 3272 ms 13676 KB Output is correct
86 Correct 1903 ms 13652 KB Output is correct
87 Correct 1772 ms 13380 KB Output is correct
88 Correct 2690 ms 13052 KB Output is correct
89 Correct 2777 ms 13884 KB Output is correct
90 Correct 2238 ms 14728 KB Output is correct
91 Correct 1258 ms 14028 KB Output is correct
92 Correct 1366 ms 13788 KB Output is correct
93 Correct 1612 ms 14256 KB Output is correct
94 Correct 1106 ms 15180 KB Output is correct
95 Correct 1816 ms 14788 KB Output is correct
96 Correct 1020 ms 13280 KB Output is correct
97 Correct 1068 ms 14276 KB Output is correct
98 Correct 1121 ms 13984 KB Output is correct
99 Correct 1014 ms 14232 KB Output is correct
100 Correct 795 ms 13716 KB Output is correct
101 Correct 824 ms 13556 KB Output is correct
102 Correct 2902 ms 13036 KB Output is correct
103 Correct 2712 ms 12924 KB Output is correct
104 Correct 3129 ms 13412 KB Output is correct
105 Correct 2704 ms 13916 KB Output is correct
106 Correct 2596 ms 14300 KB Output is correct
107 Correct 2217 ms 14012 KB Output is correct
108 Correct 3136 ms 15620 KB Output is correct
109 Correct 2500 ms 16596 KB Output is correct
110 Correct 1766 ms 13112 KB Output is correct
111 Correct 2530 ms 12704 KB Output is correct
112 Correct 3635 ms 13672 KB Output is correct
113 Correct 297 ms 16600 KB Output is correct