oj.uz

Submission #340142

# Submission time Handle Problem Language Result Execution time Memory
340142 2020-12-27T03:59:46 Z blue Bali Sculptures (APIO15_sculpture) C++11
100 / 100
 120 ms 492 KB 
#include <iostream>
#include <vector>
using namespace std;


//Subtask 1, 2, 3, 4: N <= 100
/*
For the worst beauty value, we want to first of all make the most significant bit as small as possible.

Loop through all the bits: log(max_N)    =  32
Loop through all the positions:     N    =  100
Loop through all the previous choices: N =  100
Loop through all the choices of x (a<x<b)=  100
Grand total                              = 32e6 = 3e7 √
*/

long long pow2[46];

//     arr size,   limits on x,   sculpture values
long long solve_1(long long N, long long A, long long B, vector<long long> Y)
{
    long long dp[N+1][B+1]; //is it possible to partition 1..i into j groups such that no group has value v & 1<<bit == 1
    long long res = pow2[39] - 1, temp;
    long long curr_res = 0;
    for(long long bit = 38; bit >= 0; bit--)
    {
        for(long long i = 0; i <= N; i++) for(long long x = 0; x <= B; x++) dp[i][x] = 0;
        res -= pow2[bit];

        dp[0][0] = 1;
        for(long long i = 1; i <= N; i++)
        {
            dp[i][1] = (Y[i] | res) <= res;
            for(long long x = 2; x <= B; x++)
            {
                for(long long j = 0; j < i; j++)
                {
                    if(((Y[i] - Y[j]) | res) > res) continue;
                    if(!dp[j][x-1]) continue;
                    dp[i][x] |= dp[j][x-1];
                }
            }
        }

        temp = 0;
        for(long long x = A; x <= B; x++) temp |= dp[N][x];
        if(!temp) res += pow2[bit];
    }
    return res;
}
/*
-----------------------------------------------------
*/

//Subtask 3, 5: A = 1
/*
We start out with Y[1] + ... Y[N]
We can make a cut anywhere between i and i+1, which turns a+b into a | b
We can make at most B cuts.
Find the minimum value.
(a | b) | c = a | b | c
                           only difference is here.
    00      10      01      11
+    0       1       1       2
|    0       1       1       1



Greedy?
8 1 2 1 5 4
1000, 0001, 0010, 0001, 0101, 0100
Prefsum:
8 9 11 12 17 21
001000, 001001, 001011, 001100, 010001, 010101
*/
long long solve_2(long long N, long long B, vector<long long> Y)
{
    long long dp[N+1]; //minimum number of partitions of 1..i such that no group has value v & 1<<bit == 1
    long long res = pow2[43] - 1, temp;
    long long curr_res = 0;
    for(long long bit = 42; bit >= 0; bit--)
    {
        res -= pow2[bit];

        dp[0] = 0;
        for(long long i = 1; i <= N; i++)
        {
            dp[i] = B+1;
            for(long long j = 0; j < i; j++)
            {
                if(((Y[i] - Y[j]) | res) > res) continue;
                dp[i] = min(dp[i], dp[j]+1);
            }
        }

        if(dp[N] > B) res += pow2[bit];
    }
    return res;
}




int main()
{
    pow2[0] = 1;
    for(int i = 1; i < 46; i++) pow2[i] = pow2[i-1] * 2;

    long long N, A, B;
    cin >> N >> A >> B;

    vector<long long> Y(N+1);
    Y[0] = 0;
    for(long long i = 1; i <= N; i++)
    {
        cin >> Y[i];
        Y[i] += Y[i-1];
    }
    if(A != 1) cout << solve_1(N, A, B, Y) << '\n';
    else cout << solve_2(N, B, Y) << '\n'; //A = 1
}

Compilation message

sculpture.cpp: In function 'long long int solve_1(long long int, long long int, long long int, std::vector<long long int>)':
sculpture.cpp:24:15: warning: unused variable 'curr_res' [-Wunused-variable]
   24 |     long long curr_res = 0;
      |               ^~~~~~~~
sculpture.cpp: In function 'long long int solve_2(long long int, long long int, std::vector<long long int>)':
sculpture.cpp:79:35: warning: unused variable 'temp' [-Wunused-variable]
   79 |     long long res = pow2[43] - 1, temp;
      |                                   ^~~~
sculpture.cpp:80:15: warning: unused variable 'curr_res' [-Wunused-variable]
   80 |     long long curr_res = 0;
      |               ^~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 0 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 0 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 0 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 1 ms 364 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 1 ms 364 KB Output is correct
31 Correct 1 ms 364 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 1 ms 364 KB Output is correct
34 Correct 1 ms 364 KB Output is correct
35 Correct 1 ms 364 KB Output is correct
36 Correct 1 ms 364 KB Output is correct

Subtask #2
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 0 ms 364 KB Output is correct
6 Correct 0 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 0 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 380 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 1 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 1 ms 364 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 1 ms 364 KB Output is correct
31 Correct 1 ms 364 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 1 ms 364 KB Output is correct
34 Correct 1 ms 364 KB Output is correct
35 Correct 1 ms 364 KB Output is correct
36 Correct 1 ms 364 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 1 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 1 ms 364 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 1 ms 364 KB Output is correct
31 Correct 1 ms 364 KB Output is correct
32 Correct 1 ms 364 KB Output is correct

Subtask #4
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 364 KB Output is correct
2 Correct 0 ms 364 KB Output is correct
3 Correct 0 ms 364 KB Output is correct
4 Correct 0 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 0 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 0 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 1 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 1 ms 364 KB Output is correct
27 Correct 0 ms 364 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 1 ms 364 KB Output is correct
31 Correct 1 ms 364 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 1 ms 364 KB Output is correct
34 Correct 1 ms 364 KB Output is correct
35 Correct 1 ms 364 KB Output is correct
36 Correct 1 ms 364 KB Output is correct
37 Correct 1 ms 364 KB Output is correct
38 Correct 1 ms 364 KB Output is correct
39 Correct 1 ms 384 KB Output is correct
40 Correct 1 ms 364 KB Output is correct
41 Correct 1 ms 364 KB Output is correct
42 Correct 1 ms 364 KB Output is correct
43 Correct 1 ms 364 KB Output is correct
44 Correct 1 ms 364 KB Output is correct
45 Correct 1 ms 364 KB Output is correct
46 Correct 1 ms 364 KB Output is correct
47 Correct 1 ms 364 KB Output is correct
48 Correct 1 ms 364 KB Output is correct
49 Correct 1 ms 364 KB Output is correct
50 Correct 1 ms 364 KB Output is correct
51 Correct 1 ms 364 KB Output is correct
52 Correct 1 ms 364 KB Output is correct
53 Correct 1 ms 364 KB Output is correct
54 Correct 1 ms 364 KB Output is correct
55 Correct 1 ms 364 KB Output is correct
56 Correct 1 ms 364 KB Output is correct
57 Correct 1 ms 364 KB Output is correct
58 Correct 0 ms 364 KB Output is correct
59 Correct 1 ms 364 KB Output is correct
60 Correct 1 ms 364 KB Output is correct
61 Correct 1 ms 364 KB Output is correct
62 Correct 1 ms 364 KB Output is correct
63 Correct 1 ms 364 KB Output is correct
64 Correct 31 ms 364 KB Output is correct
65 Correct 3 ms 364 KB Output is correct
66 Correct 2 ms 364 KB Output is correct
67 Correct 6 ms 364 KB Output is correct
68 Correct 18 ms 384 KB Output is correct
69 Correct 38 ms 364 KB Output is correct
70 Correct 36 ms 364 KB Output is correct
71 Correct 1 ms 364 KB Output is correct
72 Correct 37 ms 444 KB Output is correct
73 Correct 28 ms 364 KB Output is correct
74 Correct 25 ms 364 KB Output is correct

Subtask #5
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 0 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 1 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 1 ms 364 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 1 ms 364 KB Output is correct
31 Correct 1 ms 364 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 1 ms 364 KB Output is correct
34 Correct 1 ms 364 KB Output is correct
35 Correct 1 ms 364 KB Output is correct
36 Correct 1 ms 364 KB Output is correct
37 Correct 1 ms 364 KB Output is correct
38 Correct 1 ms 364 KB Output is correct
39 Correct 1 ms 364 KB Output is correct
40 Correct 1 ms 364 KB Output is correct
41 Correct 1 ms 364 KB Output is correct
42 Correct 1 ms 364 KB Output is correct
43 Correct 1 ms 364 KB Output is correct
44 Correct 1 ms 364 KB Output is correct
45 Correct 1 ms 364 KB Output is correct
46 Correct 1 ms 364 KB Output is correct
47 Correct 1 ms 364 KB Output is correct
48 Correct 1 ms 364 KB Output is correct
49 Correct 1 ms 364 KB Output is correct
50 Correct 1 ms 364 KB Output is correct
51 Correct 1 ms 364 KB Output is correct
52 Correct 11 ms 364 KB Output is correct
53 Correct 18 ms 364 KB Output is correct
54 Correct 32 ms 364 KB Output is correct
55 Correct 31 ms 384 KB Output is correct
56 Correct 112 ms 364 KB Output is correct
57 Correct 112 ms 492 KB Output is correct
58 Correct 105 ms 364 KB Output is correct
59 Correct 105 ms 364 KB Output is correct
60 Correct 120 ms 492 KB Output is correct
61 Correct 1 ms 364 KB Output is correct
62 Correct 18 ms 364 KB Output is correct
63 Correct 33 ms 364 KB Output is correct
64 Correct 30 ms 364 KB Output is correct
65 Correct 56 ms 364 KB Output is correct
66 Correct 83 ms 364 KB Output is correct
67 Correct 112 ms 492 KB Output is correct
68 Correct 111 ms 492 KB Output is correct
69 Correct 108 ms 432 KB Output is correct