oj.uz

Submission #945308

# Submission time Handle Problem Language Result Execution time Memory
945308 2024-03-13T15:49:33 Z Nhoksocqt1 Overtaking (IOI23_overtaking) C++17
65 / 100
 3500 ms 34284 KB 
#ifndef Nhoksocqt1
    #include "overtaking.h"
#endif // Nhoksocqt1
#include<bits/stdc++.h>
using namespace std;

#define inf 0x3f3f3f3f
#define sz(x) int((x).size())
#define fi first
#define se second
typedef long long ll;
typedef pair<int, int> ii;
typedef pair<ll, int> pli;

template<class X, class Y>
	inline bool maximize(X &x, const Y &y) {return (x < y ? x = y, 1 : 0);}
template<class X, class Y>
	inline bool minimize(X &x, const Y &y) {return (x > y ? x = y, 1 : 0);}

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
int Random(int l, int r) {
    return uniform_int_distribution<int>(l, r)(rng);
}

const int MAXN = 1003;

pli sorted_timeTo[MAXN][MAXN];
ll maxPref[MAXN][MAXN], timeTo[MAXN][MAXN];
ll speed[MAXN], timeLeave[MAXN], pathLen, busnSpeed;
int staPos[MAXN];
int nArr, mArr;

ll sub1(ll Y) {
    if(busnSpeed >= speed[0] || Y <= timeLeave[0])
        return Y + pathLen * busnSpeed;

    for (int i = 1; i < mArr; ++i) {
        if(Y + busnSpeed * staPos[i] <= timeLeave[0] + speed[0] * staPos[i])
            return timeLeave[0] + speed[0] * staPos[i] + busnSpeed * (staPos[mArr - 1] - staPos[i]);
    }

    return Y + pathLen * busnSpeed;
}

ll sub2(ll Y) {
    ll res(Y + pathLen * busnSpeed);
    for (int i = 0; i < nArr; ++i) {
        if(timeLeave[i] < Y)
            res = max(res, timeLeave[i] + speed[i] * pathLen);
    }

    return res;
}

ll arrival_time(ll Y) {
    if(nArr == 1)
        return sub1(Y);

    if(mArr == 2)
        return sub2(Y);

    ll res(Y);
    for (int i = 1; i < mArr; ++i) {
        ll timeNow = res + (staPos[i] - staPos[i - 1]) * busnSpeed;
        int pos = lower_bound(sorted_timeTo[i - 1], sorted_timeTo[i - 1] + nArr, pli(res, -1)) - sorted_timeTo[i - 1] - 1;

        if(pos >= 0)
            timeNow = max(timeNow, maxPref[i - 1][pos]);

        res = timeNow;
    }

    return res;
}

void init(int _L, int _N, vector<ll> _T, vector<int> _W, int _X, int _M, vector<int> _S) {
    pathLen = _L, nArr = _N, mArr = _M, busnSpeed = _X;
    for (int i = 0; i < nArr; ++i)
        speed[i] = _W[i];

    for (int i = 0; i < nArr; ++i)
        timeLeave[i] = _T[i];

    for (int i = 0; i < mArr; ++i)
        staPos[i] = _S[i];

    for (int i = 0; i < nArr; ++i) {
        timeTo[0][i] = timeLeave[i];
        sorted_timeTo[0][i] = make_pair(timeTo[0][i], i);
    }

    sort(sorted_timeTo[0], sorted_timeTo[0] + nArr);
    for (int j = 1; j < mArr; ++j) {
        ll maxArrived(0);
        int k(0);
        for (int it = 0; it < nArr; ++it) {
            int i(sorted_timeTo[j - 1][it].se);
            while(k < nArr && sorted_timeTo[j - 1][k].fi < timeTo[j - 1][i]) {
                int x(sorted_timeTo[j - 1][k++].se);
                maxArrived = max(maxArrived, timeTo[j - 1][x] + (staPos[j] - staPos[j - 1]) * speed[x]);
            }

            timeTo[j][i] = max(maxArrived, timeTo[j - 1][i] + (staPos[j] - staPos[j - 1]) * speed[i]);
            sorted_timeTo[j][i] = make_pair(timeTo[j][i], i);
        }

        sort(sorted_timeTo[j], sorted_timeTo[j] + nArr);
    }

    for (int j = 0; j + 1 < mArr; ++j) {
        maxPref[j][0] = sorted_timeTo[j][0].fi + (staPos[j + 1] - staPos[j]) * speed[sorted_timeTo[j][0].se];
        for (int i = 1; i < nArr; ++i)
            maxPref[j][i] = max(maxPref[j][i - 1], sorted_timeTo[j][i].fi + (staPos[j + 1] - staPos[j]) * speed[sorted_timeTo[j][i].se]);
    }
}

#ifdef Nhoksocqt1

int main(void) {
    ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0);

    #define TASK "overtaking"
    if(fopen(TASK".inp", "r")) {
        freopen(TASK".inp", "r", stdin);
        freopen(TASK".out", "w", stdout);
    }

    vector<ll> _T;
    vector<int> _W, _S;
    int _L, _N, _M, _X;
    cin >> _L >> _N;

    _T.resize(_N);
    for (int i = 0; i < _N; ++i)
        cin >> _T[i];

    _W.resize(_N);
    for (int i = 0; i < _N; ++i)
        cin >> _W[i];

    cin >> _X >> _M;

    _S.resize(_M);
    for (int i = 0; i < _M; ++i)
        cin >> _S[i];

    init(_L, _N, _T, _W, _X, _M, _S);

    int _Q;
    cin >> _Q;
    for (int t = 0; t < _Q; ++t) {
        ll _Y;
        cin >> _Y;
        cout << "ASK " << _Y << ": ";
        cout << arrival_time(_Y) << '\n';
    }

    return 0;
}

#endif // Nhoksocqt1

Subtask #0
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB Output is correct

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB Output is correct
2 Correct 1 ms 10588 KB Output is correct
3 Correct 1 ms 10588 KB Output is correct
4 Correct 1 ms 10696 KB Output is correct
5 Correct 2 ms 10588 KB Output is correct
6 Correct 3 ms 19036 KB Output is correct
7 Correct 4 ms 29276 KB Output is correct
8 Correct 4 ms 31320 KB Output is correct
9 Correct 6 ms 31324 KB Output is correct
10 Correct 4 ms 31324 KB Output is correct
11 Correct 4 ms 31320 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 2 ms 4440 KB Output is correct
6 Correct 3 ms 4440 KB Output is correct
7 Correct 5 ms 4440 KB Output is correct
8 Correct 4 ms 4440 KB Output is correct
9 Correct 3 ms 4444 KB Output is correct
10 Correct 3 ms 4444 KB Output is correct
11 Correct 3 ms 4444 KB Output is correct
12 Correct 3 ms 4444 KB Output is correct
13 Correct 4 ms 4564 KB Output is correct
14 Correct 4 ms 4444 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 10588 KB Output is correct
4 Correct 1 ms 10588 KB Output is correct
5 Correct 1 ms 10696 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 2 ms 10584 KB Output is correct
10 Correct 2 ms 10592 KB Output is correct
11 Correct 2 ms 10588 KB Output is correct
12 Correct 2 ms 10588 KB Output is correct
13 Correct 2 ms 10588 KB Output is correct
14 Correct 2 ms 10588 KB Output is correct
15 Correct 2 ms 10588 KB Output is correct
16 Correct 2 ms 10588 KB Output is correct
17 Correct 2 ms 10588 KB Output is correct
18 Correct 2 ms 10588 KB Output is correct
19 Correct 2 ms 10588 KB Output is correct
20 Correct 2 ms 10620 KB Output is correct
21 Correct 2 ms 10588 KB Output is correct
22 Correct 1 ms 6492 KB Output is correct
23 Correct 2 ms 10588 KB Output is correct
24 Correct 2 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 10588 KB Output is correct
28 Correct 2 ms 8540 KB Output is correct
29 Correct 2 ms 8540 KB Output is correct
30 Correct 2 ms 8540 KB Output is correct
31 Correct 2 ms 8540 KB Output is correct
32 Correct 2 ms 10588 KB Output is correct
33 Correct 2 ms 10588 KB Output is correct
34 Correct 2 ms 10588 KB Output is correct
35 Correct 2 ms 10588 KB Output is correct
36 Correct 2 ms 10588 KB Output is correct
37 Correct 2 ms 10588 KB Output is correct
38 Correct 2 ms 10588 KB Output is correct
39 Correct 2 ms 10824 KB Output is correct
40 Correct 2 ms 10696 KB Output is correct

Subtask #4
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 10588 KB Output is correct
4 Correct 1 ms 10588 KB Output is correct
5 Correct 1 ms 10696 KB Output is correct
6 Correct 2 ms 10588 KB Output is correct
7 Correct 3 ms 19036 KB Output is correct
8 Correct 4 ms 29276 KB Output is correct
9 Correct 4 ms 31320 KB Output is correct
10 Correct 6 ms 31324 KB Output is correct
11 Correct 4 ms 31324 KB Output is correct
12 Correct 4 ms 31320 KB Output is correct
13 Correct 1 ms 4444 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 1 ms 4444 KB Output is correct
16 Correct 2 ms 10584 KB Output is correct
17 Correct 2 ms 10592 KB Output is correct
18 Correct 2 ms 10588 KB Output is correct
19 Correct 2 ms 10588 KB Output is correct
20 Correct 2 ms 10588 KB Output is correct
21 Correct 2 ms 10588 KB Output is correct
22 Correct 2 ms 10588 KB Output is correct
23 Correct 2 ms 10588 KB Output is correct
24 Correct 2 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 10620 KB Output is correct
28 Correct 2 ms 10588 KB Output is correct
29 Correct 1 ms 6492 KB Output is correct
30 Correct 2 ms 10588 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 10588 KB Output is correct
34 Correct 2 ms 10588 KB Output is correct
35 Correct 2 ms 8540 KB Output is correct
36 Correct 2 ms 8540 KB Output is correct
37 Correct 2 ms 8540 KB Output is correct
38 Correct 2 ms 8540 KB Output is correct
39 Correct 2 ms 10588 KB Output is correct
40 Correct 2 ms 10588 KB Output is correct
41 Correct 2 ms 10588 KB Output is correct
42 Correct 2 ms 10588 KB Output is correct
43 Correct 2 ms 10588 KB Output is correct
44 Correct 2 ms 10588 KB Output is correct
45 Correct 2 ms 10588 KB Output is correct
46 Correct 2 ms 10824 KB Output is correct
47 Correct 2 ms 10696 KB Output is correct
48 Correct 71 ms 31824 KB Output is correct
49 Correct 163 ms 32052 KB Output is correct
50 Correct 136 ms 32048 KB Output is correct
51 Correct 150 ms 31852 KB Output is correct
52 Correct 145 ms 32084 KB Output is correct
53 Correct 125 ms 32052 KB Output is correct
54 Correct 148 ms 32080 KB Output is correct
55 Correct 83 ms 31924 KB Output is correct
56 Correct 156 ms 32080 KB Output is correct
57 Correct 142 ms 32084 KB Output is correct
58 Correct 136 ms 32056 KB Output is correct
59 Correct 154 ms 32084 KB Output is correct
60 Correct 155 ms 32084 KB Output is correct
61 Correct 157 ms 32084 KB Output is correct
62 Correct 7 ms 31580 KB Output is correct
63 Correct 13 ms 4700 KB Output is correct
64 Correct 238 ms 31984 KB Output is correct
65 Correct 171 ms 21240 KB Output is correct
66 Correct 494 ms 32080 KB Output is correct
67 Correct 512 ms 32084 KB Output is correct
68 Correct 479 ms 32080 KB Output is correct
69 Correct 232 ms 32068 KB Output is correct
70 Correct 192 ms 32052 KB Output is correct
71 Correct 302 ms 32020 KB Output is correct
72 Correct 206 ms 32080 KB Output is correct
73 Correct 297 ms 32048 KB Output is correct
74 Correct 241 ms 32056 KB Output is correct
75 Correct 427 ms 32084 KB Output is correct
76 Correct 461 ms 32052 KB Output is correct
77 Correct 490 ms 32084 KB Output is correct
78 Correct 156 ms 32028 KB Output is correct

Subtask #5
0.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 10588 KB Output is correct
4 Correct 1 ms 10588 KB Output is correct
5 Correct 1 ms 10696 KB Output is correct
6 Correct 2 ms 10588 KB Output is correct
7 Correct 3 ms 19036 KB Output is correct
8 Correct 4 ms 29276 KB Output is correct
9 Correct 4 ms 31320 KB Output is correct
10 Correct 6 ms 31324 KB Output is correct
11 Correct 4 ms 31324 KB Output is correct
12 Correct 4 ms 31320 KB Output is correct
13 Correct 1 ms 4444 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 1 ms 4444 KB Output is correct
16 Correct 1 ms 4444 KB Output is correct
17 Correct 2 ms 4440 KB Output is correct
18 Correct 3 ms 4440 KB Output is correct
19 Correct 5 ms 4440 KB Output is correct
20 Correct 4 ms 4440 KB Output is correct
21 Correct 3 ms 4444 KB Output is correct
22 Correct 3 ms 4444 KB Output is correct
23 Correct 3 ms 4444 KB Output is correct
24 Correct 3 ms 4444 KB Output is correct
25 Correct 4 ms 4564 KB Output is correct
26 Correct 4 ms 4444 KB Output is correct
27 Correct 2 ms 10584 KB Output is correct
28 Correct 2 ms 10592 KB Output is correct
29 Correct 2 ms 10588 KB Output is correct
30 Correct 2 ms 10588 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 10588 KB Output is correct
34 Correct 2 ms 10588 KB Output is correct
35 Correct 2 ms 10588 KB Output is correct
36 Correct 2 ms 10588 KB Output is correct
37 Correct 2 ms 10588 KB Output is correct
38 Correct 2 ms 10620 KB Output is correct
39 Correct 2 ms 10588 KB Output is correct
40 Correct 1 ms 6492 KB Output is correct
41 Correct 2 ms 10588 KB Output is correct
42 Correct 2 ms 10588 KB Output is correct
43 Correct 2 ms 10588 KB Output is correct
44 Correct 2 ms 10588 KB Output is correct
45 Correct 2 ms 10588 KB Output is correct
46 Correct 2 ms 8540 KB Output is correct
47 Correct 2 ms 8540 KB Output is correct
48 Correct 2 ms 8540 KB Output is correct
49 Correct 2 ms 8540 KB Output is correct
50 Correct 2 ms 10588 KB Output is correct
51 Correct 2 ms 10588 KB Output is correct
52 Correct 2 ms 10588 KB Output is correct
53 Correct 2 ms 10588 KB Output is correct
54 Correct 2 ms 10588 KB Output is correct
55 Correct 2 ms 10588 KB Output is correct
56 Correct 2 ms 10588 KB Output is correct
57 Correct 2 ms 10824 KB Output is correct
58 Correct 2 ms 10696 KB Output is correct
59 Correct 71 ms 31824 KB Output is correct
60 Correct 163 ms 32052 KB Output is correct
61 Correct 136 ms 32048 KB Output is correct
62 Correct 150 ms 31852 KB Output is correct
63 Correct 145 ms 32084 KB Output is correct
64 Correct 125 ms 32052 KB Output is correct
65 Correct 148 ms 32080 KB Output is correct
66 Correct 83 ms 31924 KB Output is correct
67 Correct 156 ms 32080 KB Output is correct
68 Correct 142 ms 32084 KB Output is correct
69 Correct 136 ms 32056 KB Output is correct
70 Correct 154 ms 32084 KB Output is correct
71 Correct 155 ms 32084 KB Output is correct
72 Correct 157 ms 32084 KB Output is correct
73 Correct 7 ms 31580 KB Output is correct
74 Correct 13 ms 4700 KB Output is correct
75 Correct 238 ms 31984 KB Output is correct
76 Correct 171 ms 21240 KB Output is correct
77 Correct 494 ms 32080 KB Output is correct
78 Correct 512 ms 32084 KB Output is correct
79 Correct 479 ms 32080 KB Output is correct
80 Correct 232 ms 32068 KB Output is correct
81 Correct 192 ms 32052 KB Output is correct
82 Correct 302 ms 32020 KB Output is correct
83 Correct 206 ms 32080 KB Output is correct
84 Correct 297 ms 32048 KB Output is correct
85 Correct 241 ms 32056 KB Output is correct
86 Correct 427 ms 32084 KB Output is correct
87 Correct 461 ms 32052 KB Output is correct
88 Correct 490 ms 32084 KB Output is correct
89 Correct 156 ms 32028 KB Output is correct
90 Execution timed out 3575 ms 34284 KB Time limit exceeded
91 Halted 0 ms 0 KB -