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Submission #906208

# Submission time Handle Problem Language Result Execution time Memory
906208 2024-01-13T16:12:10 Z HorizonWest Collecting Stamps 3 (JOI20_ho_t3) C++17
100 / 100
 89 ms 134228 KB 
#include <iostream>
#include <complex>
#include <iomanip>
#include <vector>
#include <algorithm>
#include <functional>
#include <bitset>
#include <queue>
#include <map>
#include <stack>
#include <cmath>
using namespace std;

#define endl '\n'
#define db double
#define ll __int128
#define int long long
#define pb push_back
#define fs first
#define sd second
#define Mod long(1e9 + 7)
#define all(x) x.begin(), x.end()
#define unvisited long(-1)
#define Eps double(1e-9)
#define _for(i, n) for(int i = 0; i < (n); i++)
#define dbg(x) cout << #x ": " << x << endl;

const int Max = 1e13 + 7, Inf = 1e15 + 7;

void print(bool x) { cout << (x ? "YES" : "NO") << endl; }

string tostring (__int128 x)
{
    string ans = "";
    while(x > 0)
    {
        ans += (x % 10 + '0');
        x /= 10;
    }
    reverse(all(ans));
    return ans;
}

int dp[205][205][205][2];

void solve()
{
    int n, l; cin >> n >> l; 
    vector <int> v(n+2), t(n+2);
    _for(i, n) cin >> v[i+1]; 
    _for(i, n) cin >> t[i+1]; 

    int ans = 0; 

    _for(i, n+2) _for(j, n+2) _for(k, n+2){
        dp[i][j][k][0] = dp[i][j][k][1] = Inf; 
    }

    dp[0][n+1][0][0] = dp[0][n+1][0][1] = 0; v[n+1] = l; 
    
    for(int i = 0; i <= n; i++)
    {//cerr << endl << "I -> " << i << endl;
        for(int j = n+1; j > i+1; j--)
        {
            for(int k = 0; k <= n; k++)
            {
                //cerr << (dp[i][j][k][1] > Max ? -1 : dp[i][j][k][1]) << " ";

                int a = min(dp[i][j][k][0] + min(abs(v[i+1] - v[i]), v[i] + (l - v[i+1])), 
                            dp[i][j][k][1] + min(abs(v[i+1] - v[j]), v[i+1] + (l - v[j])));
                
                int b = min(dp[i][j][k][1] + min(abs(v[j] - v[j-1]), v[j-1] + (l - v[j])),
                            dp[i][j][k][0] + min(abs(v[j-1] - v[i]), v[i] + (l - v[j-1]))); 

               /* if(b < 0)
                {
                    cout << "WA: " << v[j-1] - v[j] << endl;
                }*/

                dp[i+1][j][k + (a <= t[i+1])][0] = min(dp[i+1][j][k + (a <= t[i+1])][0], a); 
                dp[i][j-1][k + (b <= t[j-1])][1] = min(dp[i][j-1][k + (b <= t[j-1])][1], b); 
            }//cerr << endl;
        }
         
    }

    _for(i, n+1) _for(j, n+1) _for(k, n+1)
    { 
        //if(dp[i][j][k] < Inf) cerr << dp[i][j][k]<< endl;
        if(dp[i][j][k][0] < Max) ans = max(ans, k); 
        if(dp[i][j][k][1] < Max) ans = max(ans, k); 
    }

    cout << ans << endl; 
}

int32_t main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);

    int Q = 1; //cin >> Q;

    while (Q--)
    {
        solve();
    }

    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 2 ms 8540 KB Output is correct
4 Correct 2 ms 6500 KB Output is correct
5 Correct 2 ms 6492 KB Output is correct
6 Correct 2 ms 10588 KB Output is correct
7 Correct 2 ms 6492 KB Output is correct
8 Correct 2 ms 8540 KB Output is correct
9 Correct 2 ms 10588 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 2 ms 10588 KB Output is correct
13 Correct 3 ms 10588 KB Output is correct
14 Correct 2 ms 6492 KB Output is correct
15 Correct 2 ms 6492 KB Output is correct
16 Correct 3 ms 10588 KB Output is correct
17 Correct 3 ms 10588 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 2 ms 8540 KB Output is correct
4 Correct 2 ms 6500 KB Output is correct
5 Correct 2 ms 6492 KB Output is correct
6 Correct 2 ms 10588 KB Output is correct
7 Correct 2 ms 6492 KB Output is correct
8 Correct 2 ms 8540 KB Output is correct
9 Correct 2 ms 10588 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 2 ms 10588 KB Output is correct
13 Correct 3 ms 10588 KB Output is correct
14 Correct 2 ms 6492 KB Output is correct
15 Correct 2 ms 6492 KB Output is correct
16 Correct 3 ms 10588 KB Output is correct
17 Correct 3 ms 10588 KB Output is correct
18 Correct 3 ms 10588 KB Output is correct
19 Correct 2 ms 8540 KB Output is correct
20 Correct 3 ms 10588 KB Output is correct
21 Correct 2 ms 10776 KB Output is correct
22 Correct 2 ms 8540 KB Output is correct
23 Correct 3 ms 12636 KB Output is correct
24 Correct 3 ms 10588 KB Output is correct
25 Correct 2 ms 10588 KB Output is correct
26 Correct 2 ms 10588 KB Output is correct
27 Correct 2 ms 6492 KB Output is correct
28 Correct 2 ms 8540 KB Output is correct
29 Correct 3 ms 12636 KB Output is correct
30 Correct 3 ms 12812 KB Output is correct
31 Correct 2 ms 10588 KB Output is correct
32 Correct 2 ms 10588 KB Output is correct
33 Correct 2 ms 12636 KB Output is correct
34 Correct 3 ms 12636 KB Output is correct
35 Correct 3 ms 12636 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 2 ms 8540 KB Output is correct
4 Correct 2 ms 6500 KB Output is correct
5 Correct 2 ms 6492 KB Output is correct
6 Correct 2 ms 10588 KB Output is correct
7 Correct 2 ms 6492 KB Output is correct
8 Correct 2 ms 8540 KB Output is correct
9 Correct 2 ms 10588 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 2 ms 10588 KB Output is correct
13 Correct 3 ms 10588 KB Output is correct
14 Correct 2 ms 6492 KB Output is correct
15 Correct 2 ms 6492 KB Output is correct
16 Correct 3 ms 10588 KB Output is correct
17 Correct 3 ms 10588 KB Output is correct
18 Correct 70 ms 119640 KB Output is correct
19 Correct 45 ms 94812 KB Output is correct
20 Correct 26 ms 68188 KB Output is correct
21 Correct 45 ms 90716 KB Output is correct
22 Correct 57 ms 103256 KB Output is correct
23 Correct 22 ms 64092 KB Output is correct
24 Correct 16 ms 55900 KB Output is correct
25 Correct 20 ms 62044 KB Output is correct
26 Correct 10 ms 39632 KB Output is correct
27 Correct 23 ms 64092 KB Output is correct
28 Correct 15 ms 53992 KB Output is correct
29 Correct 22 ms 64092 KB Output is correct
30 Correct 17 ms 57948 KB Output is correct
31 Correct 21 ms 62044 KB Output is correct
32 Correct 12 ms 45916 KB Output is correct
33 Correct 21 ms 62044 KB Output is correct
34 Correct 9 ms 37468 KB Output is correct
35 Correct 22 ms 62044 KB Output is correct
36 Correct 11 ms 43692 KB Output is correct
37 Correct 23 ms 64092 KB Output is correct
38 Correct 13 ms 47708 KB Output is correct
39 Correct 23 ms 66140 KB Output is correct
40 Correct 14 ms 49756 KB Output is correct
41 Correct 85 ms 133996 KB Output is correct
42 Correct 59 ms 109376 KB Output is correct
43 Correct 83 ms 133776 KB Output is correct
44 Correct 56 ms 109140 KB Output is correct
45 Correct 84 ms 133972 KB Output is correct
46 Correct 59 ms 109372 KB Output is correct

Subtask #4
75.0 / 75.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 2 ms 8540 KB Output is correct
4 Correct 2 ms 6500 KB Output is correct
5 Correct 2 ms 6492 KB Output is correct
6 Correct 2 ms 10588 KB Output is correct
7 Correct 2 ms 6492 KB Output is correct
8 Correct 2 ms 8540 KB Output is correct
9 Correct 2 ms 10588 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 2 ms 10588 KB Output is correct
13 Correct 3 ms 10588 KB Output is correct
14 Correct 2 ms 6492 KB Output is correct
15 Correct 2 ms 6492 KB Output is correct
16 Correct 3 ms 10588 KB Output is correct
17 Correct 3 ms 10588 KB Output is correct
18 Correct 3 ms 10588 KB Output is correct
19 Correct 2 ms 8540 KB Output is correct
20 Correct 3 ms 10588 KB Output is correct
21 Correct 2 ms 10776 KB Output is correct
22 Correct 2 ms 8540 KB Output is correct
23 Correct 3 ms 12636 KB Output is correct
24 Correct 3 ms 10588 KB Output is correct
25 Correct 2 ms 10588 KB Output is correct
26 Correct 2 ms 10588 KB Output is correct
27 Correct 2 ms 6492 KB Output is correct
28 Correct 2 ms 8540 KB Output is correct
29 Correct 3 ms 12636 KB Output is correct
30 Correct 3 ms 12812 KB Output is correct
31 Correct 2 ms 10588 KB Output is correct
32 Correct 2 ms 10588 KB Output is correct
33 Correct 2 ms 12636 KB Output is correct
34 Correct 3 ms 12636 KB Output is correct
35 Correct 3 ms 12636 KB Output is correct
36 Correct 70 ms 119640 KB Output is correct
37 Correct 45 ms 94812 KB Output is correct
38 Correct 26 ms 68188 KB Output is correct
39 Correct 45 ms 90716 KB Output is correct
40 Correct 57 ms 103256 KB Output is correct
41 Correct 22 ms 64092 KB Output is correct
42 Correct 16 ms 55900 KB Output is correct
43 Correct 20 ms 62044 KB Output is correct
44 Correct 10 ms 39632 KB Output is correct
45 Correct 23 ms 64092 KB Output is correct
46 Correct 15 ms 53992 KB Output is correct
47 Correct 22 ms 64092 KB Output is correct
48 Correct 17 ms 57948 KB Output is correct
49 Correct 21 ms 62044 KB Output is correct
50 Correct 12 ms 45916 KB Output is correct
51 Correct 21 ms 62044 KB Output is correct
52 Correct 9 ms 37468 KB Output is correct
53 Correct 22 ms 62044 KB Output is correct
54 Correct 11 ms 43692 KB Output is correct
55 Correct 23 ms 64092 KB Output is correct
56 Correct 13 ms 47708 KB Output is correct
57 Correct 23 ms 66140 KB Output is correct
58 Correct 14 ms 49756 KB Output is correct
59 Correct 85 ms 133996 KB Output is correct
60 Correct 59 ms 109376 KB Output is correct
61 Correct 83 ms 133776 KB Output is correct
62 Correct 56 ms 109140 KB Output is correct
63 Correct 84 ms 133972 KB Output is correct
64 Correct 59 ms 109372 KB Output is correct
65 Correct 78 ms 127828 KB Output is correct
66 Correct 71 ms 121692 KB Output is correct
67 Correct 69 ms 119636 KB Output is correct
68 Correct 65 ms 115540 KB Output is correct
69 Correct 75 ms 125780 KB Output is correct
70 Correct 69 ms 123740 KB Output is correct
71 Correct 70 ms 123740 KB Output is correct
72 Correct 73 ms 125796 KB Output is correct
73 Correct 71 ms 119636 KB Output is correct
74 Correct 66 ms 115540 KB Output is correct
75 Correct 71 ms 121692 KB Output is correct
76 Correct 83 ms 131956 KB Output is correct
77 Correct 83 ms 131932 KB Output is correct
78 Correct 67 ms 115548 KB Output is correct
79 Correct 66 ms 117588 KB Output is correct
80 Correct 84 ms 129884 KB Output is correct
81 Correct 65 ms 117448 KB Output is correct
82 Correct 69 ms 121680 KB Output is correct
83 Correct 83 ms 133972 KB Output is correct
84 Correct 75 ms 123732 KB Output is correct
85 Correct 79 ms 129884 KB Output is correct
86 Correct 79 ms 127836 KB Output is correct
87 Correct 70 ms 121692 KB Output is correct
88 Correct 84 ms 133972 KB Output is correct
89 Correct 89 ms 134004 KB Output is correct
90 Correct 73 ms 123732 KB Output is correct
91 Correct 85 ms 134228 KB Output is correct
92 Correct 84 ms 133980 KB Output is correct
93 Correct 81 ms 133972 KB Output is correct