oj.uz

Submission #342765

# Submission time Handle Problem Language Result Execution time Memory
342765 2021-01-02T17:54:03 Z blue Collecting Stamps 3 (JOI20_ho_t3) C++11
100 / 100
 291 ms 129404 KB 
#include <iostream>
#include <cmath>
#include <algorithm>
using namespace std;

long long X[202];
long long T[202];
long long L;

long long dist(int a, int b)
{
    return min(    abs(X[a] - X[b]),    min(X[a], abs(L - X[a]))   +   min(X[b], abs(L - X[b]))    );
}

int main()
{
    long long inf = 1;
    for(int i = 1; i <= 18; i++) inf = inf * 10LL;

    int N;

    cin >> N >> L;

    for(int i = 1; i <= N; i++) cin >> X[i];
    for(int i = 1; i <= N; i++) cin >> T[i];

    long long dp_left[N+2][N+2][N+2], dp_right[N+2][N+2][N+2];
    for(int i = 0; i <= N+1; i++)
        for(int j = 0; j <= N+1; j++)
            for(int k = 0; k <= N+1; k++)
                dp_left[i][j][k] = dp_right[i][j][k] = inf;
    //minimum time needed to collect k stamps from among j, i+1, ... N, 1, .... i and end up at left/right.

    X[0] = X[N+1] = 0;

    int res = 0;

    dp_left[0][N+1][0] = dp_right[0][N+1][0] = 0;
    for(int k = 0; k <= N; k++)
    {
        for(int i = 0; i <= N; i++)
        {
            for(int j = N+1; j > i; j--)
            {
                //don't collect
                if(j < N+1)
                {
                    dp_left[i][j][k] = min(dp_left[i][j][k], dp_left[i][j+1][k] + dist(j, j+1));

                    dp_left[i][j][k] = min(dp_left[i][j][k], dp_right[i][j+1][k] + dist(i, j));
                }

                if(i > 0)
                {
                    dp_right[i][j][k] = min(dp_right[i][j][k], dp_right[i-1][j][k] + dist(i, i-1));

                    dp_right[i][j][k] = min(dp_right[i][j][k], dp_left[i-1][j][k] + dist(i, j));
                }





                if(k == 0) continue;



                //collect
                if(j < N+1)
                {
                    if(dp_left[i][j+1][k-1] + dist(j+1, j) <= T[j])
                        dp_left[i][j][k] = min(dp_left[i][j][k], dp_left[i][j+1][k-1] + dist(j+1, j));

                    if(dp_right[i][j+1][k-1] + dist(i, j) <= T[j])
                        dp_left[i][j][k] = min(dp_left[i][j][k], dp_right[i][j+1][k-1] + dist(i, j));
                }

                if(i > 0)
                {
                    if(dp_right[i-1][j][k-1] + dist(i-1, i) <= T[i])
                        dp_right[i][j][k] = min(dp_right[i][j][k], dp_right[i-1][j][k-1] + dist(i-1, i));

                    if(dp_left[i-1][j][k-1] + dist(i, j) <= T[i])
                        dp_right[i][j][k] = min(dp_right[i][j][k], dp_left[i-1][j][k-1] + dist(i, j));
                }

                if(dp_left[i][j][k] != inf) res = max(res, k);
                if(dp_right[i][j][k] != inf) res = max(res, k);

                // cout << i << ' ' << j << ' ' << k << " -> " << dp_left[i][j][k] << ' ' << dp_right[i][j][k] << '\n';

            }
        }
    }


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

Subtask #1
5.0 / 5.0

# 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 384 KB Output is correct
9 Correct 1 ms 512 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

Subtask #2
10.0 / 10.0

# 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 384 KB Output is correct
9 Correct 1 ms 512 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
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

Subtask #3
10.0 / 10.0

# 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 384 KB Output is correct
9 Correct 1 ms 512 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 194 ms 93292 KB Output is correct
19 Correct 95 ms 44140 KB Output is correct
20 Correct 39 ms 17388 KB Output is correct
21 Correct 86 ms 40812 KB Output is correct
22 Correct 135 ms 59764 KB Output is correct
23 Correct 31 ms 13676 KB Output is correct
24 Correct 19 ms 9580 KB Output is correct
25 Correct 29 ms 13292 KB Output is correct
26 Correct 8 ms 3308 KB Output is correct
27 Correct 33 ms 14316 KB Output is correct
28 Correct 18 ms 8684 KB Output is correct
29 Correct 33 ms 14700 KB Output is correct
30 Correct 21 ms 10220 KB Output is correct
31 Correct 29 ms 13292 KB Output is correct
32 Correct 10 ms 5228 KB Output is correct
33 Correct 28 ms 13420 KB Output is correct
34 Correct 6 ms 3052 KB Output is correct
35 Correct 34 ms 12908 KB Output is correct
36 Correct 9 ms 4588 KB Output is correct
37 Correct 29 ms 14188 KB Output is correct
38 Correct 12 ms 5868 KB Output is correct
39 Correct 30 ms 15104 KB Output is correct
40 Correct 14 ms 6892 KB Output is correct
41 Correct 274 ms 127596 KB Output is correct
42 Correct 143 ms 70636 KB Output is correct
43 Correct 284 ms 127468 KB Output is correct
44 Correct 140 ms 69424 KB Output is correct
45 Correct 267 ms 127468 KB Output is correct
46 Correct 145 ms 70764 KB Output is correct

Subtask #4
75.0 / 75.0

# 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 384 KB Output is correct
9 Correct 1 ms 512 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
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 194 ms 93292 KB Output is correct
37 Correct 95 ms 44140 KB Output is correct
38 Correct 39 ms 17388 KB Output is correct
39 Correct 86 ms 40812 KB Output is correct
40 Correct 135 ms 59764 KB Output is correct
41 Correct 31 ms 13676 KB Output is correct
42 Correct 19 ms 9580 KB Output is correct
43 Correct 29 ms 13292 KB Output is correct
44 Correct 8 ms 3308 KB Output is correct
45 Correct 33 ms 14316 KB Output is correct
46 Correct 18 ms 8684 KB Output is correct
47 Correct 33 ms 14700 KB Output is correct
48 Correct 21 ms 10220 KB Output is correct
49 Correct 29 ms 13292 KB Output is correct
50 Correct 10 ms 5228 KB Output is correct
51 Correct 28 ms 13420 KB Output is correct
52 Correct 6 ms 3052 KB Output is correct
53 Correct 34 ms 12908 KB Output is correct
54 Correct 9 ms 4588 KB Output is correct
55 Correct 29 ms 14188 KB Output is correct
56 Correct 12 ms 5868 KB Output is correct
57 Correct 30 ms 15104 KB Output is correct
58 Correct 14 ms 6892 KB Output is correct
59 Correct 274 ms 127596 KB Output is correct
60 Correct 143 ms 70636 KB Output is correct
61 Correct 284 ms 127468 KB Output is correct
62 Correct 140 ms 69424 KB Output is correct
63 Correct 267 ms 127468 KB Output is correct
64 Correct 145 ms 70764 KB Output is correct
65 Correct 238 ms 109548 KB Output is correct
66 Correct 205 ms 96312 KB Output is correct
67 Correct 195 ms 90220 KB Output is correct
68 Correct 191 ms 80108 KB Output is correct
69 Correct 223 ms 107756 KB Output is correct
70 Correct 221 ms 101100 KB Output is correct
71 Correct 209 ms 102764 KB Output is correct
72 Correct 234 ms 104300 KB Output is correct
73 Correct 197 ms 93272 KB Output is correct
74 Correct 191 ms 84272 KB Output is correct
75 Correct 196 ms 97784 KB Output is correct
76 Correct 275 ms 120060 KB Output is correct
77 Correct 249 ms 120172 KB Output is correct
78 Correct 184 ms 81516 KB Output is correct
79 Correct 187 ms 85612 KB Output is correct
80 Correct 268 ms 116332 KB Output is correct
81 Correct 179 ms 87148 KB Output is correct
82 Correct 218 ms 94700 KB Output is correct
83 Correct 265 ms 127468 KB Output is correct
84 Correct 209 ms 101228 KB Output is correct
85 Correct 250 ms 114676 KB Output is correct
86 Correct 253 ms 111084 KB Output is correct
87 Correct 201 ms 97900 KB Output is correct
88 Correct 289 ms 129388 KB Output is correct
89 Correct 277 ms 129388 KB Output is correct
90 Correct 208 ms 99564 KB Output is correct
91 Correct 291 ms 129388 KB Output is correct
92 Correct 285 ms 129404 KB Output is correct
93 Correct 284 ms 125804 KB Output is correct