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Submission #478193

# Submission time Handle Problem Language Result Execution time Memory
478193 2021-10-06T11:34:16 Z blue Solar Storm (NOI20_solarstorm) C++17
100 / 100
 727 ms 169480 KB 
#include <iostream>
#include <vector>
#include <algorithm>
using namespace std;

const int maxN = 1'000'000;
const int logN = 21;

vector< vector<int> > R(1+maxN+1, vector<int>(1+logN));

vector<long long> val(1+maxN, 0);

int jump(int i, int s)
{
    for(int e = logN; e >= 0; e--)
    {
        if(s & (1 << e)) i = R[i][e];
    }
    return i;
}

int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);

    int N, S;
    long long K;
    cin >> N >> S >> K;

    long long x[1+N];
    x[1] = 0;
    for(int i = 1; i <= N-1; i++)
    {
        long long d;
        cin >> d;
        x[i+1] = x[i] + d;
    }

    for(int i = 1; i <= N; i++)
    {
        cin >> val[i];
        val[i] += val[i-1];
    }

    int reach_left[1+N], reach_right[1+N];

    reach_left[1] = 1;
    for(int i = 2; i <= N; i++)
    {
        reach_left[i] = reach_left[i-1];
        while(x[i] - x[ reach_left[i] ] > K)
            reach_left[i]++;
    }

    reach_right[N] = N;
    for(int i = N-1; i >= 1; i--)
    {
        reach_right[i] = reach_right[i+1];
        while(x[ reach_right[i] ] - x[i] > K)
            reach_right[i]--;
    }

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

    vector<int> midval(1+N);

    int mid = N;
    for(int i = N; i >= 1; i--)
    {
        while(i < reach_left[mid]) mid--;
        midval[i] = mid;
        R[i][0] = reach_right[mid] + 1;
    }

    // for(int i = 1; i <= N; i++) cerr << R[i][0] << ' ';
    // cerr << '\n';

    for(int e = 1; e <= logN; e++)
    {
        for(int i = 1; i <= N+1; i++)
        {
            R[i][e] = R[ R[i][e-1] ][e-1];
        }
    }

    int opt = -1;

    long long res = -1;;
    for(int i = 1; i <= N; i++)
    {
        int J = jump(i, S);
        if(val[J - 1] - val[i - 1] > res)
        {
            res = val[J - 1] - val[i - 1];
            opt = i;
        }
    }

    // cerr << "opt = " << opt << '\n';

    vector<int> ans;
    int remaining = S;
    while(remaining > 0 && opt != N+1)
    {
        // cerr << "opt = " << opt << '\n';
        ans.push_back(midval[opt]);
        opt = jump(opt, 1);
        remaining--;
    }

    cout << (int)ans.size() << '\n';
    for(int a:ans) cout << a << ' ';
    cout << '\n';
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 96 ms 125452 KB Output is correct
2 Correct 97 ms 125772 KB Output is correct
3 Correct 95 ms 125796 KB Output is correct
4 Correct 97 ms 125640 KB Output is correct
5 Correct 89 ms 125476 KB Output is correct
6 Correct 104 ms 125768 KB Output is correct
7 Correct 93 ms 125764 KB Output is correct
8 Correct 97 ms 125860 KB Output is correct
9 Correct 98 ms 125640 KB Output is correct
10 Correct 96 ms 125732 KB Output is correct
11 Correct 99 ms 125836 KB Output is correct
12 Correct 121 ms 125564 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 432 ms 149896 KB Output is correct
2 Correct 307 ms 141092 KB Output is correct
3 Correct 334 ms 142068 KB Output is correct
4 Correct 356 ms 143560 KB Output is correct
5 Correct 412 ms 146620 KB Output is correct
6 Correct 530 ms 153728 KB Output is correct
7 Correct 372 ms 144072 KB Output is correct

Subtask #3
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 96 ms 125452 KB Output is correct
2 Correct 97 ms 125772 KB Output is correct
3 Correct 95 ms 125796 KB Output is correct
4 Correct 97 ms 125640 KB Output is correct
5 Correct 89 ms 125476 KB Output is correct
6 Correct 104 ms 125768 KB Output is correct
7 Correct 93 ms 125764 KB Output is correct
8 Correct 97 ms 125860 KB Output is correct
9 Correct 98 ms 125640 KB Output is correct
10 Correct 96 ms 125732 KB Output is correct
11 Correct 99 ms 125836 KB Output is correct
12 Correct 121 ms 125564 KB Output is correct
13 Correct 432 ms 149896 KB Output is correct
14 Correct 307 ms 141092 KB Output is correct
15 Correct 334 ms 142068 KB Output is correct
16 Correct 356 ms 143560 KB Output is correct
17 Correct 412 ms 146620 KB Output is correct
18 Correct 530 ms 153728 KB Output is correct
19 Correct 372 ms 144072 KB Output is correct
20 Correct 328 ms 143612 KB Output is correct
21 Correct 421 ms 147612 KB Output is correct
22 Correct 470 ms 151744 KB Output is correct
23 Correct 420 ms 150088 KB Output is correct
24 Correct 400 ms 149920 KB Output is correct
25 Correct 426 ms 149964 KB Output is correct
26 Correct 384 ms 143620 KB Output is correct
27 Correct 419 ms 148876 KB Output is correct
28 Correct 427 ms 148612 KB Output is correct
29 Correct 552 ms 155712 KB Output is correct
30 Correct 447 ms 150216 KB Output is correct
31 Correct 411 ms 147144 KB Output is correct

Subtask #4
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 532 ms 155104 KB Output is correct
2 Correct 308 ms 140104 KB Output is correct
3 Correct 305 ms 140916 KB Output is correct
4 Correct 431 ms 147800 KB Output is correct
5 Correct 416 ms 147144 KB Output is correct
6 Correct 429 ms 148296 KB Output is correct
7 Correct 643 ms 159668 KB Output is correct

Subtask #5
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 96 ms 125452 KB Output is correct
2 Correct 97 ms 125772 KB Output is correct
3 Correct 95 ms 125796 KB Output is correct
4 Correct 97 ms 125640 KB Output is correct
5 Correct 89 ms 125476 KB Output is correct
6 Correct 104 ms 125768 KB Output is correct
7 Correct 93 ms 125764 KB Output is correct
8 Correct 97 ms 125860 KB Output is correct
9 Correct 98 ms 125640 KB Output is correct
10 Correct 96 ms 125732 KB Output is correct
11 Correct 99 ms 125836 KB Output is correct
12 Correct 121 ms 125564 KB Output is correct
13 Correct 102 ms 125832 KB Output is correct
14 Correct 103 ms 125812 KB Output is correct
15 Correct 93 ms 125700 KB Output is correct
16 Correct 104 ms 125672 KB Output is correct
17 Correct 100 ms 125768 KB Output is correct
18 Correct 98 ms 125808 KB Output is correct
19 Correct 96 ms 125704 KB Output is correct
20 Correct 94 ms 125768 KB Output is correct
21 Correct 94 ms 126032 KB Output is correct
22 Correct 96 ms 125860 KB Output is correct
23 Correct 99 ms 125772 KB Output is correct
24 Correct 94 ms 125824 KB Output is correct
25 Correct 93 ms 125804 KB Output is correct
26 Correct 99 ms 125820 KB Output is correct
27 Correct 92 ms 125708 KB Output is correct
28 Correct 104 ms 125900 KB Output is correct
29 Correct 94 ms 125764 KB Output is correct
30 Correct 92 ms 125768 KB Output is correct

Subtask #6
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 96 ms 125452 KB Output is correct
2 Correct 97 ms 125772 KB Output is correct
3 Correct 95 ms 125796 KB Output is correct
4 Correct 97 ms 125640 KB Output is correct
5 Correct 89 ms 125476 KB Output is correct
6 Correct 104 ms 125768 KB Output is correct
7 Correct 93 ms 125764 KB Output is correct
8 Correct 97 ms 125860 KB Output is correct
9 Correct 98 ms 125640 KB Output is correct
10 Correct 96 ms 125732 KB Output is correct
11 Correct 99 ms 125836 KB Output is correct
12 Correct 121 ms 125564 KB Output is correct
13 Correct 432 ms 149896 KB Output is correct
14 Correct 307 ms 141092 KB Output is correct
15 Correct 334 ms 142068 KB Output is correct
16 Correct 356 ms 143560 KB Output is correct
17 Correct 412 ms 146620 KB Output is correct
18 Correct 530 ms 153728 KB Output is correct
19 Correct 372 ms 144072 KB Output is correct
20 Correct 328 ms 143612 KB Output is correct
21 Correct 421 ms 147612 KB Output is correct
22 Correct 470 ms 151744 KB Output is correct
23 Correct 420 ms 150088 KB Output is correct
24 Correct 400 ms 149920 KB Output is correct
25 Correct 426 ms 149964 KB Output is correct
26 Correct 384 ms 143620 KB Output is correct
27 Correct 419 ms 148876 KB Output is correct
28 Correct 427 ms 148612 KB Output is correct
29 Correct 552 ms 155712 KB Output is correct
30 Correct 447 ms 150216 KB Output is correct
31 Correct 411 ms 147144 KB Output is correct
32 Correct 489 ms 154388 KB Output is correct
33 Correct 376 ms 147588 KB Output is correct
34 Correct 541 ms 155904 KB Output is correct
35 Correct 363 ms 143688 KB Output is correct
36 Correct 409 ms 145080 KB Output is correct
37 Correct 442 ms 147144 KB Output is correct
38 Correct 590 ms 158408 KB Output is correct
39 Correct 454 ms 150088 KB Output is correct
40 Correct 535 ms 158540 KB Output is correct

Subtask #7
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 96 ms 125452 KB Output is correct
2 Correct 97 ms 125772 KB Output is correct
3 Correct 95 ms 125796 KB Output is correct
4 Correct 97 ms 125640 KB Output is correct
5 Correct 89 ms 125476 KB Output is correct
6 Correct 104 ms 125768 KB Output is correct
7 Correct 93 ms 125764 KB Output is correct
8 Correct 97 ms 125860 KB Output is correct
9 Correct 98 ms 125640 KB Output is correct
10 Correct 96 ms 125732 KB Output is correct
11 Correct 99 ms 125836 KB Output is correct
12 Correct 121 ms 125564 KB Output is correct
13 Correct 432 ms 149896 KB Output is correct
14 Correct 307 ms 141092 KB Output is correct
15 Correct 334 ms 142068 KB Output is correct
16 Correct 356 ms 143560 KB Output is correct
17 Correct 412 ms 146620 KB Output is correct
18 Correct 530 ms 153728 KB Output is correct
19 Correct 372 ms 144072 KB Output is correct
20 Correct 328 ms 143612 KB Output is correct
21 Correct 421 ms 147612 KB Output is correct
22 Correct 470 ms 151744 KB Output is correct
23 Correct 420 ms 150088 KB Output is correct
24 Correct 400 ms 149920 KB Output is correct
25 Correct 426 ms 149964 KB Output is correct
26 Correct 384 ms 143620 KB Output is correct
27 Correct 419 ms 148876 KB Output is correct
28 Correct 427 ms 148612 KB Output is correct
29 Correct 552 ms 155712 KB Output is correct
30 Correct 447 ms 150216 KB Output is correct
31 Correct 411 ms 147144 KB Output is correct
32 Correct 532 ms 155104 KB Output is correct
33 Correct 308 ms 140104 KB Output is correct
34 Correct 305 ms 140916 KB Output is correct
35 Correct 431 ms 147800 KB Output is correct
36 Correct 416 ms 147144 KB Output is correct
37 Correct 429 ms 148296 KB Output is correct
38 Correct 643 ms 159668 KB Output is correct
39 Correct 102 ms 125832 KB Output is correct
40 Correct 103 ms 125812 KB Output is correct
41 Correct 93 ms 125700 KB Output is correct
42 Correct 104 ms 125672 KB Output is correct
43 Correct 100 ms 125768 KB Output is correct
44 Correct 98 ms 125808 KB Output is correct
45 Correct 96 ms 125704 KB Output is correct
46 Correct 94 ms 125768 KB Output is correct
47 Correct 94 ms 126032 KB Output is correct
48 Correct 96 ms 125860 KB Output is correct
49 Correct 99 ms 125772 KB Output is correct
50 Correct 94 ms 125824 KB Output is correct
51 Correct 93 ms 125804 KB Output is correct
52 Correct 99 ms 125820 KB Output is correct
53 Correct 92 ms 125708 KB Output is correct
54 Correct 104 ms 125900 KB Output is correct
55 Correct 94 ms 125764 KB Output is correct
56 Correct 92 ms 125768 KB Output is correct
57 Correct 489 ms 154388 KB Output is correct
58 Correct 376 ms 147588 KB Output is correct
59 Correct 541 ms 155904 KB Output is correct
60 Correct 363 ms 143688 KB Output is correct
61 Correct 409 ms 145080 KB Output is correct
62 Correct 442 ms 147144 KB Output is correct
63 Correct 590 ms 158408 KB Output is correct
64 Correct 454 ms 150088 KB Output is correct
65 Correct 535 ms 158540 KB Output is correct
66 Correct 361 ms 145192 KB Output is correct
67 Correct 548 ms 157364 KB Output is correct
68 Correct 412 ms 149384 KB Output is correct
69 Correct 471 ms 153352 KB Output is correct
70 Correct 381 ms 145988 KB Output is correct
71 Correct 574 ms 158452 KB Output is correct
72 Correct 392 ms 146252 KB Output is correct
73 Correct 513 ms 152684 KB Output is correct
74 Correct 369 ms 142408 KB Output is correct
75 Correct 473 ms 153508 KB Output is correct
76 Correct 380 ms 144900 KB Output is correct
77 Correct 462 ms 151496 KB Output is correct
78 Correct 351 ms 143996 KB Output is correct
79 Correct 451 ms 149444 KB Output is correct
80 Correct 524 ms 155516 KB Output is correct
81 Correct 338 ms 145288 KB Output is correct
82 Correct 449 ms 150536 KB Output is correct
83 Correct 339 ms 142152 KB Output is correct
84 Correct 364 ms 143560 KB Output is correct
85 Correct 361 ms 142464 KB Output is correct
86 Correct 568 ms 155420 KB Output is correct
87 Correct 355 ms 142488 KB Output is correct
88 Correct 516 ms 155472 KB Output is correct
89 Correct 432 ms 149704 KB Output is correct
90 Correct 417 ms 147400 KB Output is correct
91 Correct 684 ms 169480 KB Output is correct
92 Correct 550 ms 159428 KB Output is correct
93 Correct 727 ms 164404 KB Output is correct
94 Correct 679 ms 164368 KB Output is correct
95 Correct 531 ms 154952 KB Output is correct
96 Correct 406 ms 148680 KB Output is correct
97 Correct 602 ms 157892 KB Output is correct
98 Correct 427 ms 148544 KB Output is correct
99 Correct 512 ms 154788 KB Output is correct
100 Correct 601 ms 153872 KB Output is correct