oj.uz

Submission #897329

# Submission time Handle Problem Language Result Execution time Memory
897329 2024-01-02T23:29:01 Z ksujay2 Overtaking (IOI23_overtaking) C++17
100 / 100
 1135 ms 99656 KB 
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const ll INF = 2e18;

ll g;
set<pair<ll, ll>> ans;
 
void init(int L, int N, vector<ll> T, vector<int> W, int X, int M, vector<int> S) {
    g = (ll) L * X;
    vector<pair<ll, int>> lines;
    for(int i = 0; i < N; i++) {
        if(W[i] > X) {
            lines.push_back({T[i], W[i] - X});
        }
    }
    sort(lines.begin(), lines.end());
    lines.resize(unique(lines.begin(), lines.end()) - lines.begin());
    vector<vector<ll>> t(lines.size(), vector<ll>(M));
    vector<vector<bool>> inter(lines.size(), vector<bool>(M));
    vector<int> o(lines.size());
    for(int i = 0; i < lines.size(); i++) t[i][0] = lines[i].first, o[i] = i;
    for(int i = 0; i < M - 1; i++) {
        for(int j = 0; j < lines.size(); j++) {
            t[j][i + 1] = (ll)(S[i + 1] - S[i]) * lines[j].second + t[j][i];
        }
        sort(o.begin(), o.end(), [&] (int a, int b) { return t[a][i] < t[b][i]; });
        ll mx = 0;
        int j = 0;
        for(int k : o) {
            while(t[o[j]][i] < t[k][i]) mx = max(mx, t[o[j++]][i + 1]);
            if(t[k][i + 1] <= mx) {
                inter[k][i + 1] = true;
                t[k][i + 1] = mx;
            }
        }
    }
    ans.insert({0, 0});
    for(int i = M - 2; i >= 0; i--) {
        sort(o.begin(), o.end(), [&] (int a, int b) { return t[a][i] < t[b][i]; });
        for(int j : o) {
            if(!inter[j][i + 1]) {
                pair<ll, ll> p = {t[j][i] + 1, t[j][i + 1]};
                auto o = prev(ans.lower_bound(make_pair(t[j][i + 1], INF)));
                if(p.second < (*o).second) {
                    if((*o).first < p.first) continue;
                    p.second = (*o).second;
                }
                while((*o).first > p.first) {
                    o = ans.erase(o);
                    o--;
                }
                ans.insert(p);
            }
        }
    }
}
 
ll arrival_time(ll Y) {
    return max(Y, (*prev(ans.lower_bound(make_pair(Y, INF)))).second) + g;
}

Compilation message

overtaking.cpp: In function 'void init(int, int, std::vector<long long int>, std::vector<int>, int, int, std::vector<int>)':
overtaking.cpp:22:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   22 |     for(int i = 0; i < lines.size(); i++) t[i][0] = lines[i].first, o[i] = i;
      |                    ~~^~~~~~~~~~~~~~
overtaking.cpp:24:26: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   24 |         for(int j = 0; j < lines.size(); j++) {
      |                        ~~^~~~~~~~~~~~~~

Subtask #0
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct

Subtask #1
9.0 / 9.0

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

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 1 ms 604 KB Output is correct
8 Correct 1 ms 600 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 2 ms 604 KB Output is correct
10 Correct 2 ms 604 KB Output is correct
11 Correct 2 ms 860 KB Output is correct
12 Correct 2 ms 652 KB Output is correct
13 Correct 3 ms 604 KB Output is correct
14 Correct 2 ms 604 KB Output is correct
15 Correct 2 ms 348 KB Output is correct
16 Correct 2 ms 500 KB Output is correct
17 Correct 2 ms 348 KB Output is correct
18 Correct 2 ms 348 KB Output is correct
19 Correct 3 ms 348 KB Output is correct
20 Correct 2 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 2 ms 376 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 2 ms 348 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 1 ms 508 KB Output is correct
32 Correct 2 ms 1116 KB Output is correct
33 Correct 3 ms 1116 KB Output is correct
34 Correct 2 ms 1116 KB Output is correct
35 Correct 2 ms 1116 KB Output is correct
36 Correct 2 ms 1116 KB Output is correct
37 Correct 2 ms 1116 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 3 ms 688 KB Output is correct

Subtask #4
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 2 ms 604 KB Output is correct
17 Correct 2 ms 604 KB Output is correct
18 Correct 2 ms 860 KB Output is correct
19 Correct 2 ms 652 KB Output is correct
20 Correct 3 ms 604 KB Output is correct
21 Correct 2 ms 604 KB Output is correct
22 Correct 2 ms 348 KB Output is correct
23 Correct 2 ms 500 KB Output is correct
24 Correct 2 ms 348 KB Output is correct
25 Correct 2 ms 348 KB Output is correct
26 Correct 3 ms 348 KB Output is correct
27 Correct 2 ms 348 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 2 ms 376 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 2 ms 348 KB Output is correct
35 Correct 1 ms 348 KB Output is correct
36 Correct 1 ms 348 KB Output is correct
37 Correct 1 ms 348 KB Output is correct
38 Correct 1 ms 508 KB Output is correct
39 Correct 2 ms 1116 KB Output is correct
40 Correct 3 ms 1116 KB Output is correct
41 Correct 2 ms 1116 KB Output is correct
42 Correct 2 ms 1116 KB Output is correct
43 Correct 2 ms 1116 KB Output is correct
44 Correct 2 ms 1116 KB Output is correct
45 Correct 0 ms 348 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 3 ms 688 KB Output is correct
48 Correct 124 ms 8860 KB Output is correct
49 Correct 171 ms 9552 KB Output is correct
50 Correct 176 ms 9524 KB Output is correct
51 Correct 172 ms 9516 KB Output is correct
52 Correct 165 ms 9352 KB Output is correct
53 Correct 166 ms 9276 KB Output is correct
54 Correct 166 ms 9340 KB Output is correct
55 Correct 90 ms 8564 KB Output is correct
56 Correct 151 ms 9052 KB Output is correct
57 Correct 147 ms 8792 KB Output is correct
58 Correct 142 ms 8796 KB Output is correct
59 Correct 148 ms 8988 KB Output is correct
60 Correct 136 ms 8792 KB Output is correct
61 Correct 145 ms 8920 KB Output is correct
62 Correct 2 ms 604 KB Output is correct
63 Correct 2 ms 604 KB Output is correct
64 Correct 68 ms 4600 KB Output is correct
65 Correct 65 ms 4696 KB Output is correct
66 Correct 137 ms 8708 KB Output is correct
67 Correct 127 ms 8540 KB Output is correct
68 Correct 130 ms 8540 KB Output is correct
69 Correct 350 ms 71228 KB Output is correct
70 Correct 343 ms 71096 KB Output is correct
71 Correct 339 ms 71032 KB Output is correct
72 Correct 393 ms 52816 KB Output is correct
73 Correct 354 ms 71316 KB Output is correct
74 Correct 343 ms 71132 KB Output is correct
75 Correct 1 ms 600 KB Output is correct
76 Correct 2 ms 600 KB Output is correct
77 Correct 2 ms 600 KB Output is correct
78 Correct 189 ms 24144 KB Output is correct

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 604 KB Output is correct
19 Correct 1 ms 604 KB Output is correct
20 Correct 1 ms 600 KB Output is correct
21 Correct 1 ms 604 KB Output is correct
22 Correct 1 ms 604 KB Output is correct
23 Correct 1 ms 604 KB Output is correct
24 Correct 1 ms 604 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 2 ms 604 KB Output is correct
28 Correct 2 ms 604 KB Output is correct
29 Correct 2 ms 860 KB Output is correct
30 Correct 2 ms 652 KB Output is correct
31 Correct 3 ms 604 KB Output is correct
32 Correct 2 ms 604 KB Output is correct
33 Correct 2 ms 348 KB Output is correct
34 Correct 2 ms 500 KB Output is correct
35 Correct 2 ms 348 KB Output is correct
36 Correct 2 ms 348 KB Output is correct
37 Correct 3 ms 348 KB Output is correct
38 Correct 2 ms 348 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 1 ms 348 KB Output is correct
41 Correct 1 ms 348 KB Output is correct
42 Correct 2 ms 376 KB Output is correct
43 Correct 1 ms 348 KB Output is correct
44 Correct 1 ms 348 KB Output is correct
45 Correct 2 ms 348 KB Output is correct
46 Correct 1 ms 348 KB Output is correct
47 Correct 1 ms 348 KB Output is correct
48 Correct 1 ms 348 KB Output is correct
49 Correct 1 ms 508 KB Output is correct
50 Correct 2 ms 1116 KB Output is correct
51 Correct 3 ms 1116 KB Output is correct
52 Correct 2 ms 1116 KB Output is correct
53 Correct 2 ms 1116 KB Output is correct
54 Correct 2 ms 1116 KB Output is correct
55 Correct 2 ms 1116 KB Output is correct
56 Correct 0 ms 348 KB Output is correct
57 Correct 0 ms 348 KB Output is correct
58 Correct 3 ms 688 KB Output is correct
59 Correct 124 ms 8860 KB Output is correct
60 Correct 171 ms 9552 KB Output is correct
61 Correct 176 ms 9524 KB Output is correct
62 Correct 172 ms 9516 KB Output is correct
63 Correct 165 ms 9352 KB Output is correct
64 Correct 166 ms 9276 KB Output is correct
65 Correct 166 ms 9340 KB Output is correct
66 Correct 90 ms 8564 KB Output is correct
67 Correct 151 ms 9052 KB Output is correct
68 Correct 147 ms 8792 KB Output is correct
69 Correct 142 ms 8796 KB Output is correct
70 Correct 148 ms 8988 KB Output is correct
71 Correct 136 ms 8792 KB Output is correct
72 Correct 145 ms 8920 KB Output is correct
73 Correct 2 ms 604 KB Output is correct
74 Correct 2 ms 604 KB Output is correct
75 Correct 68 ms 4600 KB Output is correct
76 Correct 65 ms 4696 KB Output is correct
77 Correct 137 ms 8708 KB Output is correct
78 Correct 127 ms 8540 KB Output is correct
79 Correct 130 ms 8540 KB Output is correct
80 Correct 350 ms 71228 KB Output is correct
81 Correct 343 ms 71096 KB Output is correct
82 Correct 339 ms 71032 KB Output is correct
83 Correct 393 ms 52816 KB Output is correct
84 Correct 354 ms 71316 KB Output is correct
85 Correct 343 ms 71132 KB Output is correct
86 Correct 1 ms 600 KB Output is correct
87 Correct 2 ms 600 KB Output is correct
88 Correct 2 ms 600 KB Output is correct
89 Correct 189 ms 24144 KB Output is correct
90 Correct 161 ms 11248 KB Output is correct
91 Correct 380 ms 36436 KB Output is correct
92 Correct 404 ms 36396 KB Output is correct
93 Correct 387 ms 36616 KB Output is correct
94 Correct 387 ms 36180 KB Output is correct
95 Correct 383 ms 36436 KB Output is correct
96 Correct 374 ms 36692 KB Output is correct
97 Correct 111 ms 10932 KB Output is correct
98 Correct 374 ms 35760 KB Output is correct
99 Correct 366 ms 36692 KB Output is correct
100 Correct 358 ms 36164 KB Output is correct
101 Correct 375 ms 35872 KB Output is correct
102 Correct 360 ms 35612 KB Output is correct
103 Correct 385 ms 36188 KB Output is correct
104 Correct 291 ms 37456 KB Output is correct
105 Correct 294 ms 42068 KB Output is correct
106 Correct 430 ms 43856 KB Output is correct
107 Correct 382 ms 43476 KB Output is correct
108 Correct 425 ms 43720 KB Output is correct
109 Correct 377 ms 43496 KB Output is correct
110 Correct 375 ms 43580 KB Output is correct
111 Correct 799 ms 98464 KB Output is correct
112 Correct 811 ms 98452 KB Output is correct
113 Correct 934 ms 99656 KB Output is correct
114 Correct 1018 ms 70608 KB Output is correct
115 Correct 923 ms 98712 KB Output is correct
116 Correct 802 ms 99608 KB Output is correct
117 Correct 190 ms 39240 KB Output is correct
118 Correct 178 ms 39508 KB Output is correct
119 Correct 176 ms 37456 KB Output is correct
120 Correct 180 ms 39764 KB Output is correct
121 Correct 196 ms 40308 KB Output is correct
122 Correct 526 ms 45712 KB Output is correct
123 Correct 1135 ms 70700 KB Output is correct
124 Correct 966 ms 64012 KB Output is correct
125 Correct 907 ms 60996 KB Output is correct