oj.uz

Submission #557049

# Submission time Handle Problem Language Result Execution time Memory
557049 2022-05-04T16:26:10 Z Alexandruabcde Long Distance Coach (JOI17_coach) C++14
100 / 100
 163 ms 28092 KB 
#include <bits/stdc++.h>

using namespace std;

typedef long long LL;
typedef pair <LL, LL> PLL;

constexpr LL INF = 1LL * 1e18;
constexpr int NMAX = 2e5 + 5;

LL Value (LL x, PLL line) {
    return line.first * x + line.second;
}

class LiChao {
private:
    vector <PLL> arb;
    int sz;

    void Update (int nod, int a, int b, PLL line) {
        if (a >= b) return;

        int mij = (a + b) / 2;
        bool st = Value(a, arb[nod]) < Value(a, line);
        bool m = Value(mij, arb[nod]) < Value(mij, line);
        if (!m)
            swap(arb[nod], line);

        if (a + 1 == b) return;
        if (m != st) Update(2*nod, a, mij, line);
        else Update(2*nod+1, mij, b, line);
    }

    LL Best (int nod, int a, int b, int x) {
        LL val = Value(1LL * x, arb[nod]);
        int mij = (a + b) / 2;

        if (b - a == 1)
            return val;

        if (x < mij) return min(val, Best(2*nod, a, mij, x));
        else return min(val, Best(2*nod+1, mij, b, x));
    }
public:
    void Init (int Size) {
        sz = Size;
        arb.resize(4*Size + 4);

        for (int i = 1; i <= 4 * sz; ++ i ) {
            arb[i] = {0, INF};
        }
    }

    void AddLine (LL fr, LL sec) {
        Update(1, 0, sz, {fr, sec});
    }

    LL Answer (int ind) {
        return Best(1, 0, sz, ind);
    }
};

int N, M;
LL X, W, T;

PLL refill[NMAX];
PLL pass[NMAX];

LL dp[NMAX];
LL spC[NMAX];

void Read () {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);

    cin >> X >> N >> M >> W >> T;

    for (int i = 1; i <= N; ++ i ) {
        LL s;
        cin >> s;

        refill[i].first = s % T;
        refill[i].second = s / T;
    }

    ++ N;
    refill[N].first = X % T;
    refill[N].second = X / T;

    for (int i = 1; i <= M; ++ i )
        cin >> pass[i].first >> pass[i].second;

    sort(refill + 1, refill + N + 1);
    sort(pass + 1, pass + M + 1);

    for (int i = 1; i <= M; ++ i )
        spC[i] = spC[i-1] + pass[i].second;
}

void Solve () {
    LiChao Tree;
    Tree.Init(M);

    int unused = N;
    for (int i = M; i >= 1; -- i ) {
        for (; unused >= 1; -- unused ) {
            if (pass[i].first >= refill[unused].first) break;

            LL m = - W * refill[unused].second;
            LL n = W * 1LL * (i + 1) * refill[unused].second + spC[i] + dp[i+1];
            Tree.AddLine(m, n);
        }

        dp[i] = dp[i+1] + W * (X / T + (pass[i].first < X % T));

        dp[i] = min(dp[i], Tree.Answer(i) - spC[i-1]);
    }

    cout << dp[1] + W * (X / T + 1) << '\n';
}

int main () {
    Read();
    Solve();

    return 0;
}

Subtask #1
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 0 ms 340 KB Output is correct
22 Correct 1 ms 332 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 0 ms 340 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 1 ms 332 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 0 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 0 ms 336 KB Output is correct
31 Correct 0 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 0 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 1 ms 340 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 0 ms 340 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 1 ms 332 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 0 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 0 ms 336 KB Output is correct
31 Correct 0 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 0 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 1 ms 340 KB Output is correct
38 Correct 2 ms 596 KB Output is correct
39 Correct 2 ms 596 KB Output is correct
40 Correct 2 ms 596 KB Output is correct
41 Correct 2 ms 596 KB Output is correct
42 Correct 2 ms 596 KB Output is correct
43 Correct 1 ms 596 KB Output is correct
44 Correct 2 ms 600 KB Output is correct
45 Correct 2 ms 596 KB Output is correct
46 Correct 2 ms 596 KB Output is correct
47 Correct 2 ms 596 KB Output is correct
48 Correct 2 ms 604 KB Output is correct
49 Correct 2 ms 596 KB Output is correct
50 Correct 2 ms 596 KB Output is correct
51 Correct 2 ms 596 KB Output is correct

Subtask #4
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 0 ms 340 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 1 ms 332 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 0 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 0 ms 336 KB Output is correct
31 Correct 0 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 0 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 1 ms 340 KB Output is correct
38 Correct 2 ms 596 KB Output is correct
39 Correct 2 ms 596 KB Output is correct
40 Correct 2 ms 596 KB Output is correct
41 Correct 2 ms 596 KB Output is correct
42 Correct 2 ms 596 KB Output is correct
43 Correct 1 ms 596 KB Output is correct
44 Correct 2 ms 600 KB Output is correct
45 Correct 2 ms 596 KB Output is correct
46 Correct 2 ms 596 KB Output is correct
47 Correct 2 ms 596 KB Output is correct
48 Correct 2 ms 604 KB Output is correct
49 Correct 2 ms 596 KB Output is correct
50 Correct 2 ms 596 KB Output is correct
51 Correct 2 ms 596 KB Output is correct
52 Correct 145 ms 27856 KB Output is correct
53 Correct 119 ms 28004 KB Output is correct
54 Correct 135 ms 27112 KB Output is correct
55 Correct 142 ms 27304 KB Output is correct
56 Correct 150 ms 27688 KB Output is correct
57 Correct 143 ms 27388 KB Output is correct
58 Correct 157 ms 27888 KB Output is correct
59 Correct 163 ms 27296 KB Output is correct
60 Correct 139 ms 27108 KB Output is correct
61 Correct 133 ms 27228 KB Output is correct
62 Correct 159 ms 27268 KB Output is correct
63 Correct 105 ms 26212 KB Output is correct
64 Correct 100 ms 28092 KB Output is correct
65 Correct 141 ms 27928 KB Output is correct
66 Correct 142 ms 27888 KB Output is correct
67 Correct 123 ms 27924 KB Output is correct
68 Correct 126 ms 27912 KB Output is correct
69 Correct 142 ms 27724 KB Output is correct
70 Correct 151 ms 27672 KB Output is correct
71 Correct 141 ms 27636 KB Output is correct
72 Correct 144 ms 27688 KB Output is correct
73 Correct 152 ms 27680 KB Output is correct
74 Correct 154 ms 27792 KB Output is correct
75 Correct 141 ms 27852 KB Output is correct
76 Correct 148 ms 27840 KB Output is correct
77 Correct 154 ms 27604 KB Output is correct
78 Correct 145 ms 27884 KB Output is correct
79 Correct 141 ms 27276 KB Output is correct
80 Correct 135 ms 27304 KB Output is correct