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Submission #1016846

# Submission time Handle Problem Language Result Execution time Memory
1016846 2024-07-08T13:22:07 Z 12345678 Overtaking (IOI23_overtaking) C++17
65 / 100
 3500 ms 67928 KB 
#include "overtaking.h"
#include <bits/stdc++.h>

using namespace std;

#define ll long long

const int nx=1e3+5;

ll n, m, e[nx][nx], t[nx][nx], sz, x;
vector<ll> l, w, s;
vector<pair<ll, ll>> dp[nx];

void init(int L, int N, std::vector<long long> T, std::vector<int> W, int X, int M, std::vector<int> S)
{
    n=N, m=M, x=X;
    s.resize(m);
    for (int i=0; i<n; i++) if (W[i]>X) l.push_back(T[i]), w.push_back(W[i]);
    for (int i=0; i<m; i++) s[i]=S[i];
    sz=l.size();
    for (int i=0; i<sz; i++) t[0][i]=l[i];
    for (int i=1; i<m; i++)
    {
        vector<pair<ll, pair<ll, ll>>> v;
        for (int j=0; j<sz; j++) e[i][j]=t[i-1][j]+(s[i]-s[i-1])*w[j], v.push_back({t[i-1][j], {e[i][j], j}});
        sort(v.begin(), v.end());
        ll mx=0;
        for (int j=0; j<sz; j++) mx=max(mx, v[j].second.first), t[i][v[j].second.second]=mx;
    }
    for (int i=0; i<m-1; i++) for (int j=0; j<sz; j++) dp[i].push_back({t[i][j], t[i][j]+(s[i+1]-s[i])*w[j]});
    for (int i=0; i<m-1; i++) sort(dp[i].begin(), dp[i].end());
    for (int i=0; i<m-1; i++) for (int j=1; j<sz; j++) dp[i][j].second=max(dp[i][j].second, dp[i][j-1].second);
    //for (int i=0; i<m-1; i++) for (int j=0; j<sz; j++) cout<<"dp "<<i<<' '<<j<<' '<<dp[i][j].first<<' '<<dp[i][j].second<<'\n';
}

long long arrival_time(long long Y)
{
    ll res=Y, p=sz-1;
    for (int i=0; i<m-1; i++)
    {
        while (p!=-1&&dp[i][p].first>=res) p--;
        res=res+(s[i+1]-s[i])*x;
        if (p!=-1) res=max(res, dp[i][p].second);
    }
    return res;
}

Subtask #0
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2396 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 6492 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 6492 KB Output is correct
6 Correct 2 ms 10844 KB Output is correct
7 Correct 3 ms 14956 KB Output is correct
8 Correct 3 ms 15452 KB Output is correct
9 Correct 4 ms 15704 KB Output is correct
10 Correct 4 ms 15452 KB Output is correct
11 Correct 2 ms 500 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 2 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2392 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2392 KB Output is correct
13 Correct 1 ms 344 KB Output is correct
14 Correct 0 ms 348 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 1 ms 6492 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 2 ms 6748 KB Output is correct
10 Correct 2 ms 6748 KB Output is correct
11 Correct 2 ms 6748 KB Output is correct
12 Correct 1 ms 6748 KB Output is correct
13 Correct 2 ms 6748 KB Output is correct
14 Correct 1 ms 6748 KB Output is correct
15 Correct 2 ms 6748 KB Output is correct
16 Correct 1 ms 6748 KB Output is correct
17 Correct 1 ms 6748 KB Output is correct
18 Correct 1 ms 6748 KB Output is correct
19 Correct 2 ms 6760 KB Output is correct
20 Correct 2 ms 6748 KB Output is correct
21 Correct 2 ms 6748 KB Output is correct
22 Correct 1 ms 4700 KB Output is correct
23 Correct 2 ms 6748 KB Output is correct
24 Correct 2 ms 6748 KB Output is correct
25 Correct 2 ms 6748 KB Output is correct
26 Correct 1 ms 6748 KB Output is correct
27 Correct 2 ms 6748 KB Output is correct
28 Correct 1 ms 6620 KB Output is correct
29 Correct 2 ms 6744 KB Output is correct
30 Correct 2 ms 6744 KB Output is correct
31 Correct 2 ms 6748 KB Output is correct
32 Correct 2 ms 6748 KB Output is correct
33 Correct 2 ms 6748 KB Output is correct
34 Correct 1 ms 6748 KB Output is correct
35 Correct 1 ms 6748 KB Output is correct
36 Correct 2 ms 6748 KB Output is correct
37 Correct 1 ms 6748 KB Output is correct
38 Correct 1 ms 348 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 1 ms 7000 KB Output is correct

Subtask #4
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 1 ms 6492 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 2 ms 10844 KB Output is correct
8 Correct 3 ms 14956 KB Output is correct
9 Correct 3 ms 15452 KB Output is correct
10 Correct 4 ms 15704 KB Output is correct
11 Correct 4 ms 15452 KB Output is correct
12 Correct 2 ms 500 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 0 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 2 ms 6748 KB Output is correct
17 Correct 2 ms 6748 KB Output is correct
18 Correct 2 ms 6748 KB Output is correct
19 Correct 1 ms 6748 KB Output is correct
20 Correct 2 ms 6748 KB Output is correct
21 Correct 1 ms 6748 KB Output is correct
22 Correct 2 ms 6748 KB Output is correct
23 Correct 1 ms 6748 KB Output is correct
24 Correct 1 ms 6748 KB Output is correct
25 Correct 1 ms 6748 KB Output is correct
26 Correct 2 ms 6760 KB Output is correct
27 Correct 2 ms 6748 KB Output is correct
28 Correct 2 ms 6748 KB Output is correct
29 Correct 1 ms 4700 KB Output is correct
30 Correct 2 ms 6748 KB Output is correct
31 Correct 2 ms 6748 KB Output is correct
32 Correct 2 ms 6748 KB Output is correct
33 Correct 1 ms 6748 KB Output is correct
34 Correct 2 ms 6748 KB Output is correct
35 Correct 1 ms 6620 KB Output is correct
36 Correct 2 ms 6744 KB Output is correct
37 Correct 2 ms 6744 KB Output is correct
38 Correct 2 ms 6748 KB Output is correct
39 Correct 2 ms 6748 KB Output is correct
40 Correct 2 ms 6748 KB Output is correct
41 Correct 1 ms 6748 KB Output is correct
42 Correct 1 ms 6748 KB Output is correct
43 Correct 2 ms 6748 KB Output is correct
44 Correct 1 ms 6748 KB Output is correct
45 Correct 1 ms 348 KB Output is correct
46 Correct 1 ms 348 KB Output is correct
47 Correct 1 ms 7000 KB Output is correct
48 Correct 87 ms 32236 KB Output is correct
49 Correct 100 ms 32340 KB Output is correct
50 Correct 79 ms 32244 KB Output is correct
51 Correct 91 ms 32336 KB Output is correct
52 Correct 82 ms 32352 KB Output is correct
53 Correct 95 ms 32340 KB Output is correct
54 Correct 101 ms 32340 KB Output is correct
55 Correct 123 ms 32324 KB Output is correct
56 Correct 82 ms 32340 KB Output is correct
57 Correct 76 ms 32336 KB Output is correct
58 Correct 81 ms 32260 KB Output is correct
59 Correct 94 ms 32360 KB Output is correct
60 Correct 82 ms 32240 KB Output is correct
61 Correct 83 ms 32388 KB Output is correct
62 Correct 13 ms 15708 KB Output is correct
63 Correct 3 ms 2652 KB Output is correct
64 Correct 70 ms 24316 KB Output is correct
65 Correct 64 ms 18916 KB Output is correct
66 Correct 125 ms 32340 KB Output is correct
67 Correct 122 ms 32336 KB Output is correct
68 Correct 126 ms 32404 KB Output is correct
69 Correct 76 ms 32432 KB Output is correct
70 Correct 83 ms 32328 KB Output is correct
71 Correct 80 ms 32336 KB Output is correct
72 Correct 75 ms 32344 KB Output is correct
73 Correct 76 ms 32248 KB Output is correct
74 Correct 77 ms 32244 KB Output is correct
75 Correct 6 ms 600 KB Output is correct
76 Correct 6 ms 604 KB Output is correct
77 Correct 6 ms 604 KB Output is correct
78 Correct 69 ms 32356 KB Output is correct

Subtask #5
0.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 1 ms 6492 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 2 ms 10844 KB Output is correct
8 Correct 3 ms 14956 KB Output is correct
9 Correct 3 ms 15452 KB Output is correct
10 Correct 4 ms 15704 KB Output is correct
11 Correct 4 ms 15452 KB Output is correct
12 Correct 2 ms 500 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 0 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 2 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 2392 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 1 ms 2396 KB Output is correct
23 Correct 1 ms 2396 KB Output is correct
24 Correct 1 ms 2392 KB Output is correct
25 Correct 1 ms 344 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 2 ms 6748 KB Output is correct
28 Correct 2 ms 6748 KB Output is correct
29 Correct 2 ms 6748 KB Output is correct
30 Correct 1 ms 6748 KB Output is correct
31 Correct 2 ms 6748 KB Output is correct
32 Correct 1 ms 6748 KB Output is correct
33 Correct 2 ms 6748 KB Output is correct
34 Correct 1 ms 6748 KB Output is correct
35 Correct 1 ms 6748 KB Output is correct
36 Correct 1 ms 6748 KB Output is correct
37 Correct 2 ms 6760 KB Output is correct
38 Correct 2 ms 6748 KB Output is correct
39 Correct 2 ms 6748 KB Output is correct
40 Correct 1 ms 4700 KB Output is correct
41 Correct 2 ms 6748 KB Output is correct
42 Correct 2 ms 6748 KB Output is correct
43 Correct 2 ms 6748 KB Output is correct
44 Correct 1 ms 6748 KB Output is correct
45 Correct 2 ms 6748 KB Output is correct
46 Correct 1 ms 6620 KB Output is correct
47 Correct 2 ms 6744 KB Output is correct
48 Correct 2 ms 6744 KB Output is correct
49 Correct 2 ms 6748 KB Output is correct
50 Correct 2 ms 6748 KB Output is correct
51 Correct 2 ms 6748 KB Output is correct
52 Correct 1 ms 6748 KB Output is correct
53 Correct 1 ms 6748 KB Output is correct
54 Correct 2 ms 6748 KB Output is correct
55 Correct 1 ms 6748 KB Output is correct
56 Correct 1 ms 348 KB Output is correct
57 Correct 1 ms 348 KB Output is correct
58 Correct 1 ms 7000 KB Output is correct
59 Correct 87 ms 32236 KB Output is correct
60 Correct 100 ms 32340 KB Output is correct
61 Correct 79 ms 32244 KB Output is correct
62 Correct 91 ms 32336 KB Output is correct
63 Correct 82 ms 32352 KB Output is correct
64 Correct 95 ms 32340 KB Output is correct
65 Correct 101 ms 32340 KB Output is correct
66 Correct 123 ms 32324 KB Output is correct
67 Correct 82 ms 32340 KB Output is correct
68 Correct 76 ms 32336 KB Output is correct
69 Correct 81 ms 32260 KB Output is correct
70 Correct 94 ms 32360 KB Output is correct
71 Correct 82 ms 32240 KB Output is correct
72 Correct 83 ms 32388 KB Output is correct
73 Correct 13 ms 15708 KB Output is correct
74 Correct 3 ms 2652 KB Output is correct
75 Correct 70 ms 24316 KB Output is correct
76 Correct 64 ms 18916 KB Output is correct
77 Correct 125 ms 32340 KB Output is correct
78 Correct 122 ms 32336 KB Output is correct
79 Correct 126 ms 32404 KB Output is correct
80 Correct 76 ms 32432 KB Output is correct
81 Correct 83 ms 32328 KB Output is correct
82 Correct 80 ms 32336 KB Output is correct
83 Correct 75 ms 32344 KB Output is correct
84 Correct 76 ms 32248 KB Output is correct
85 Correct 77 ms 32244 KB Output is correct
86 Correct 6 ms 600 KB Output is correct
87 Correct 6 ms 604 KB Output is correct
88 Correct 6 ms 604 KB Output is correct
89 Correct 69 ms 32356 KB Output is correct
90 Correct 614 ms 34672 KB Output is correct
91 Correct 2854 ms 57720 KB Output is correct
92 Correct 2973 ms 57472 KB Output is correct
93 Correct 2840 ms 67328 KB Output is correct
94 Correct 3116 ms 67208 KB Output is correct
95 Correct 2917 ms 67152 KB Output is correct
96 Correct 2974 ms 67324 KB Output is correct
97 Correct 646 ms 35408 KB Output is correct
98 Correct 3361 ms 66896 KB Output is correct
99 Correct 3276 ms 67928 KB Output is correct
100 Correct 3215 ms 67292 KB Output is correct
101 Correct 3382 ms 66856 KB Output is correct
102 Correct 3252 ms 66904 KB Output is correct
103 Correct 3123 ms 67300 KB Output is correct
104 Execution timed out 3562 ms 48212 KB Time limit exceeded
105 Halted 0 ms 0 KB -