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Submission #870590

# Submission time Handle Problem Language Result Execution time Memory
870590 2023-11-08T12:42:33 Z sakop Overtaking (IOI23_overtaking) C++17
65 / 100
 3500 ms 66068 KB 
#include "overtaking.h"

#include <vector>
#include <algorithm>
#include <iostream>

#define MAXNM 1001000
#define MAXTIME 1000000000000000000

using namespace std;

long long L, N, M, X, Y, id;
long long a;
long long T[MAXNM];
long long W[MAXNM];
long long S[MAXNM];
vector<long long> currT[MAXNM];
vector<int> cars[MAXNM];

bool ahead(int x, int y)
{
    return currT[id][x] < currT[id][y] || (currT[id][x] == currT[id][y] && W[x] < W[y]);
}

void init(int LL, int NN, std::vector<long long> TT, std::vector<int> WW, int XX, int MM, std::vector<int> SS)
{
    L = LL;
    N = NN;
    M = MM;
    X = XX;
    id = 0;
    for (long long i : TT)
        T[id++] = i;
    id = 0;
    for (int i : WW)
        W[id++] = i;
    id = 0;
    for (int i : SS)
        S[id++] = i;

    for (int s = 0; s < M; s++)
    {
        currT[s] = vector<long long>(N);
        cars[s] = vector<int>(N);
        for (int i = 0; i < N; i++)
            cars[s][i] = i;
    }

    for (int i = 0; i < N; i++)
    {
        currT[0][i] = T[i];
    }
    id = 0;
    sort(cars[0].begin(), cars[0].end(), ahead);

    for (int s = 1; s < M; s++)
    {
        long long d = S[s] - S[s - 1];
        long long maxTime = 0;
        for (int i = 0; i < N; i++)
        {
            int car = cars[s - 1][i];
            maxTime = max(maxTime, currT[s - 1][car] + W[car] * d);
            currT[s][car] = maxTime;
        }
        id = s;
        sort(cars[s].begin(), cars[s].end(), ahead);
    }
}

int binSearch(long long l, long long r)
{
    if (currT[id][cars[id][0]] > Y || (currT[id][cars[id][0]] == Y && W[cars[id][0]] >= X))
    {
        return -1;
    }

    if (l == r)
        return cars[id][l];
    long long half = (l + r + 1) / 2;
    if (currT[id][cars[id][half]] < Y || (currT[id][cars[id][half]] == Y && W[cars[id][half]] < X))
        return binSearch(half, r);
    return binSearch(l, half - 1);
}

long long arrival_time(long long YY)
{
    Y = YY;

    for (int s = 1; s < M; s++)
    {
        long long d = S[s] - S[s - 1];
        id = s - 1;
        int car = binSearch(0, N - 1);
        Y += X * d;
        if (car != -1)
            Y = max(Y, currT[s][car]);
    }

    return Y;
}

Subtask #0
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 51804 KB Output is correct

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 51804 KB Output is correct
2 Correct 11 ms 51804 KB Output is correct
3 Correct 11 ms 51872 KB Output is correct
4 Correct 11 ms 51804 KB Output is correct
5 Correct 13 ms 51804 KB Output is correct
6 Correct 12 ms 51800 KB Output is correct
7 Correct 14 ms 51804 KB Output is correct
8 Correct 15 ms 51800 KB Output is correct
9 Correct 15 ms 51800 KB Output is correct
10 Correct 15 ms 51800 KB Output is correct
11 Correct 15 ms 51804 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 51804 KB Output is correct
2 Correct 11 ms 51904 KB Output is correct
3 Correct 11 ms 51804 KB Output is correct
4 Correct 13 ms 51804 KB Output is correct
5 Correct 11 ms 51936 KB Output is correct
6 Correct 11 ms 51804 KB Output is correct
7 Correct 11 ms 51944 KB Output is correct
8 Correct 12 ms 51804 KB Output is correct
9 Correct 12 ms 51804 KB Output is correct
10 Correct 11 ms 51804 KB Output is correct
11 Correct 13 ms 51928 KB Output is correct
12 Correct 12 ms 51804 KB Output is correct
13 Correct 12 ms 51800 KB Output is correct
14 Correct 12 ms 51800 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 51804 KB Output is correct
2 Correct 11 ms 51804 KB Output is correct
3 Correct 11 ms 51804 KB Output is correct
4 Correct 11 ms 51872 KB Output is correct
5 Correct 11 ms 51804 KB Output is correct
6 Correct 11 ms 51804 KB Output is correct
7 Correct 11 ms 51904 KB Output is correct
8 Correct 11 ms 51804 KB Output is correct
9 Correct 11 ms 51804 KB Output is correct
10 Correct 12 ms 51800 KB Output is correct
11 Correct 11 ms 51916 KB Output is correct
12 Correct 12 ms 51804 KB Output is correct
13 Correct 11 ms 51804 KB Output is correct
14 Correct 12 ms 51804 KB Output is correct
15 Correct 11 ms 51800 KB Output is correct
16 Correct 12 ms 51940 KB Output is correct
17 Correct 11 ms 51804 KB Output is correct
18 Correct 12 ms 51960 KB Output is correct
19 Correct 12 ms 51800 KB Output is correct
20 Correct 12 ms 51800 KB Output is correct
21 Correct 11 ms 51800 KB Output is correct
22 Correct 11 ms 51800 KB Output is correct
23 Correct 12 ms 51920 KB Output is correct
24 Correct 12 ms 51804 KB Output is correct
25 Correct 12 ms 51880 KB Output is correct
26 Correct 12 ms 51804 KB Output is correct
27 Correct 11 ms 51804 KB Output is correct
28 Correct 13 ms 51804 KB Output is correct
29 Correct 12 ms 51804 KB Output is correct
30 Correct 11 ms 51800 KB Output is correct
31 Correct 12 ms 51800 KB Output is correct
32 Correct 12 ms 51800 KB Output is correct
33 Correct 11 ms 51800 KB Output is correct
34 Correct 11 ms 51804 KB Output is correct
35 Correct 11 ms 51804 KB Output is correct
36 Correct 11 ms 51924 KB Output is correct
37 Correct 11 ms 51896 KB Output is correct
38 Correct 12 ms 51804 KB Output is correct
39 Correct 12 ms 51804 KB Output is correct
40 Correct 13 ms 51800 KB Output is correct

Subtask #4
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 51804 KB Output is correct
2 Correct 11 ms 51804 KB Output is correct
3 Correct 11 ms 51804 KB Output is correct
4 Correct 11 ms 51872 KB Output is correct
5 Correct 11 ms 51804 KB Output is correct
6 Correct 13 ms 51804 KB Output is correct
7 Correct 12 ms 51800 KB Output is correct
8 Correct 14 ms 51804 KB Output is correct
9 Correct 15 ms 51800 KB Output is correct
10 Correct 15 ms 51800 KB Output is correct
11 Correct 15 ms 51800 KB Output is correct
12 Correct 15 ms 51804 KB Output is correct
13 Correct 11 ms 51804 KB Output is correct
14 Correct 11 ms 51904 KB Output is correct
15 Correct 11 ms 51804 KB Output is correct
16 Correct 11 ms 51804 KB Output is correct
17 Correct 12 ms 51800 KB Output is correct
18 Correct 11 ms 51916 KB Output is correct
19 Correct 12 ms 51804 KB Output is correct
20 Correct 11 ms 51804 KB Output is correct
21 Correct 12 ms 51804 KB Output is correct
22 Correct 11 ms 51800 KB Output is correct
23 Correct 12 ms 51940 KB Output is correct
24 Correct 11 ms 51804 KB Output is correct
25 Correct 12 ms 51960 KB Output is correct
26 Correct 12 ms 51800 KB Output is correct
27 Correct 12 ms 51800 KB Output is correct
28 Correct 11 ms 51800 KB Output is correct
29 Correct 11 ms 51800 KB Output is correct
30 Correct 12 ms 51920 KB Output is correct
31 Correct 12 ms 51804 KB Output is correct
32 Correct 12 ms 51880 KB Output is correct
33 Correct 12 ms 51804 KB Output is correct
34 Correct 11 ms 51804 KB Output is correct
35 Correct 13 ms 51804 KB Output is correct
36 Correct 12 ms 51804 KB Output is correct
37 Correct 11 ms 51800 KB Output is correct
38 Correct 12 ms 51800 KB Output is correct
39 Correct 12 ms 51800 KB Output is correct
40 Correct 11 ms 51800 KB Output is correct
41 Correct 11 ms 51804 KB Output is correct
42 Correct 11 ms 51804 KB Output is correct
43 Correct 11 ms 51924 KB Output is correct
44 Correct 11 ms 51896 KB Output is correct
45 Correct 12 ms 51804 KB Output is correct
46 Correct 12 ms 51804 KB Output is correct
47 Correct 13 ms 51800 KB Output is correct
48 Correct 126 ms 63708 KB Output is correct
49 Correct 295 ms 63796 KB Output is correct
50 Correct 329 ms 63840 KB Output is correct
51 Correct 284 ms 63832 KB Output is correct
52 Correct 289 ms 64084 KB Output is correct
53 Correct 319 ms 63836 KB Output is correct
54 Correct 313 ms 63840 KB Output is correct
55 Correct 135 ms 63716 KB Output is correct
56 Correct 321 ms 63816 KB Output is correct
57 Correct 301 ms 63836 KB Output is correct
58 Correct 316 ms 63832 KB Output is correct
59 Correct 282 ms 64084 KB Output is correct
60 Correct 290 ms 63828 KB Output is correct
61 Correct 320 ms 63832 KB Output is correct
62 Correct 34 ms 52124 KB Output is correct
63 Correct 12 ms 52056 KB Output is correct
64 Correct 274 ms 57944 KB Output is correct
65 Correct 227 ms 57920 KB Output is correct
66 Correct 461 ms 63836 KB Output is correct
67 Correct 516 ms 63832 KB Output is correct
68 Correct 523 ms 63832 KB Output is correct
69 Correct 349 ms 63824 KB Output is correct
70 Correct 371 ms 63832 KB Output is correct
71 Correct 348 ms 63804 KB Output is correct
72 Correct 337 ms 63800 KB Output is correct
73 Correct 393 ms 63852 KB Output is correct
74 Correct 375 ms 63832 KB Output is correct
75 Correct 526 ms 63836 KB Output is correct
76 Correct 530 ms 63840 KB Output is correct
77 Correct 489 ms 63828 KB Output is correct
78 Correct 307 ms 63804 KB Output is correct

Subtask #5
0.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 51804 KB Output is correct
2 Correct 11 ms 51804 KB Output is correct
3 Correct 11 ms 51804 KB Output is correct
4 Correct 11 ms 51872 KB Output is correct
5 Correct 11 ms 51804 KB Output is correct
6 Correct 13 ms 51804 KB Output is correct
7 Correct 12 ms 51800 KB Output is correct
8 Correct 14 ms 51804 KB Output is correct
9 Correct 15 ms 51800 KB Output is correct
10 Correct 15 ms 51800 KB Output is correct
11 Correct 15 ms 51800 KB Output is correct
12 Correct 15 ms 51804 KB Output is correct
13 Correct 11 ms 51804 KB Output is correct
14 Correct 11 ms 51904 KB Output is correct
15 Correct 11 ms 51804 KB Output is correct
16 Correct 13 ms 51804 KB Output is correct
17 Correct 11 ms 51936 KB Output is correct
18 Correct 11 ms 51804 KB Output is correct
19 Correct 11 ms 51944 KB Output is correct
20 Correct 12 ms 51804 KB Output is correct
21 Correct 12 ms 51804 KB Output is correct
22 Correct 11 ms 51804 KB Output is correct
23 Correct 13 ms 51928 KB Output is correct
24 Correct 12 ms 51804 KB Output is correct
25 Correct 12 ms 51800 KB Output is correct
26 Correct 12 ms 51800 KB Output is correct
27 Correct 11 ms 51804 KB Output is correct
28 Correct 12 ms 51800 KB Output is correct
29 Correct 11 ms 51916 KB Output is correct
30 Correct 12 ms 51804 KB Output is correct
31 Correct 11 ms 51804 KB Output is correct
32 Correct 12 ms 51804 KB Output is correct
33 Correct 11 ms 51800 KB Output is correct
34 Correct 12 ms 51940 KB Output is correct
35 Correct 11 ms 51804 KB Output is correct
36 Correct 12 ms 51960 KB Output is correct
37 Correct 12 ms 51800 KB Output is correct
38 Correct 12 ms 51800 KB Output is correct
39 Correct 11 ms 51800 KB Output is correct
40 Correct 11 ms 51800 KB Output is correct
41 Correct 12 ms 51920 KB Output is correct
42 Correct 12 ms 51804 KB Output is correct
43 Correct 12 ms 51880 KB Output is correct
44 Correct 12 ms 51804 KB Output is correct
45 Correct 11 ms 51804 KB Output is correct
46 Correct 13 ms 51804 KB Output is correct
47 Correct 12 ms 51804 KB Output is correct
48 Correct 11 ms 51800 KB Output is correct
49 Correct 12 ms 51800 KB Output is correct
50 Correct 12 ms 51800 KB Output is correct
51 Correct 11 ms 51800 KB Output is correct
52 Correct 11 ms 51804 KB Output is correct
53 Correct 11 ms 51804 KB Output is correct
54 Correct 11 ms 51924 KB Output is correct
55 Correct 11 ms 51896 KB Output is correct
56 Correct 12 ms 51804 KB Output is correct
57 Correct 12 ms 51804 KB Output is correct
58 Correct 13 ms 51800 KB Output is correct
59 Correct 126 ms 63708 KB Output is correct
60 Correct 295 ms 63796 KB Output is correct
61 Correct 329 ms 63840 KB Output is correct
62 Correct 284 ms 63832 KB Output is correct
63 Correct 289 ms 64084 KB Output is correct
64 Correct 319 ms 63836 KB Output is correct
65 Correct 313 ms 63840 KB Output is correct
66 Correct 135 ms 63716 KB Output is correct
67 Correct 321 ms 63816 KB Output is correct
68 Correct 301 ms 63836 KB Output is correct
69 Correct 316 ms 63832 KB Output is correct
70 Correct 282 ms 64084 KB Output is correct
71 Correct 290 ms 63828 KB Output is correct
72 Correct 320 ms 63832 KB Output is correct
73 Correct 34 ms 52124 KB Output is correct
74 Correct 12 ms 52056 KB Output is correct
75 Correct 274 ms 57944 KB Output is correct
76 Correct 227 ms 57920 KB Output is correct
77 Correct 461 ms 63836 KB Output is correct
78 Correct 516 ms 63832 KB Output is correct
79 Correct 523 ms 63832 KB Output is correct
80 Correct 349 ms 63824 KB Output is correct
81 Correct 371 ms 63832 KB Output is correct
82 Correct 348 ms 63804 KB Output is correct
83 Correct 337 ms 63800 KB Output is correct
84 Correct 393 ms 63852 KB Output is correct
85 Correct 375 ms 63832 KB Output is correct
86 Correct 526 ms 63836 KB Output is correct
87 Correct 530 ms 63840 KB Output is correct
88 Correct 489 ms 63828 KB Output is correct
89 Correct 307 ms 63804 KB Output is correct
90 Execution timed out 3547 ms 66068 KB Time limit exceeded
91 Halted 0 ms 0 KB -