oj.uz

Submission #171542

# Submission time Handle Problem Language Result Execution time Memory
171542 2019-12-29T05:54:28 Z ho94949 Long Distance Coach (JOI17_coach) C++17
100 / 100
 855 ms 39388 KB 
#include<bits/stdc++.h>
using namespace std;
const int MAXN = 202020;
long long X, N, M, W, T;
long long S[MAXN];
long long D[MAXN], C[MAXN];

// used water before kickout
long long nw[MAXN];

//1~(i-1) customer minimum value when ith person do not kicked
// -(C_1+...+C_i)+ WV[i] customer's required value.
long long DP[MAXN];

// drank water of ith customer if none was kicked
long long WV[MAXN];

int pv[MAXN];

// min li-chao tree
struct Line
{
    long long a;
    long long b;
};
const long long INFV = (long long)1e18;
Line emptyl = {INFV, INFV};
struct Node
{
    long long s, e;
    Node* l;
    Node* r;
    Line v;
    Node(long long _s, long long _e)
    :s(_s), e(_e), l(nullptr), r(nullptr), v(emptyl)
    {

    }
    long long getv(long long x)
    {
        assert(v.a != INFV);
        long long ans = (long long)v.a*x+v.b;
        long long m = (s+e)>>1;
        if(x<=m && l) ans = min(ans, l->getv(x));
        if(x>m && r) ans = min(ans, r->getv(x));
        return ans;
    }
    void setv(Line x)
    {
        if(v.a==INFV && v.b==INFV)
        {
            v = x;
            return;
        }
        if(s==e)
        {
            if((__int128)s*v.a+v.b > (__int128)s*x.a+x.b)
                swap(v, x);
            return;
        }
        long long m = (s+e)>>1;
        long long pt = 2*m+1;
        __int128 exist = (__int128)v.a*pt+2*v.b;
        __int128 nv = (__int128)x.a*pt+2*x.b;
        if(exist > nv)
            swap(v, x);
        
        if(v.a < x.a)
        {
            if(!l) l = new Node(s, m);
            l->setv(x);
        }
        else
        {
            if(!r) r = new Node(m+1, e);
            r->setv(x);
        }
    }
};


long long do_dp()
{
    Node* root = new Node(-INFV, INFV);
    DP[0] = 0; root->setv({-0, DP[0]});
    for(int i=1; i<=M+1; ++i)
    {
        DP[i] = DP[i-1]; // not kicking (i-1)th customer

        if(nw[i] != -1) // if can start kicking strategy,
        {
            DP[i] = min(DP[i], (long long)(root->getv(nw[i])+(i-1)*nw[i]));
            
            /*
            for(int j=i-2; j>=0; --j) //not kicking jth customer, kicking all
            
                DP[i] = min(DP[i], DP[j]+(i-j-1)*nw[i]);
            */    
        }
        if(pv[i] != 0) //kick through pv player and let what they want.
        {
            //cout << "!" << i << " " << pv[i] << endl;
            DP[i] = min(DP[i], DP[pv[i]] - WV[pv[i]] +C[pv[i]] + (i-pv[i])*nw[i]);
        }
        DP[i] += -C[i] + WV[i];
        root->setv({-i, DP[i]});
        //printf("%d %lld %lld\n", i, nw[i], DP[i]);
    }

    long long ans = DP[M+1]; //basic DP value;
    //we remove C_1...C_M
    for(int i=1; i<=M; ++i) ans += C[i];
    // WV[M+1] is defined as 0
    // we should add bus drivers' cost
    ans += W*(1+X/T);
    return ans;
}
int main()
{
    cin >> X >> N >> M >> W >> T;
    for(int i=0; i<N; ++i) cin >> S[i];
    vector<pair<long long, long long> > VDC;
    for(int i=0; i<M; ++i)
    {
        long long d, c;
        cin >> d >> c;
        VDC.emplace_back(d, c);
    }
    sort(VDC.begin(), VDC.end());
    for(int i=1; i<=M; ++i)
    {
        tie(D[i], C[i]) = VDC[i-1];
        WV[i] = W*(1+(X-D[i])/T);
        //printf("%d: %lld %lld\n", i, WV[i], C[i]);
    }
    S[N] = X;
    sort(S, S+N+1);

    memset(nw, -1, sizeof nw);
    set<int> SS;
    for(int i=0; i<=N; ++i)
    {
        long long kickout_water = W*(S[i]/T);
        int kick_index = lower_bound(D+1, D+1+M, S[i]%T) - D;
        //printf("%lld %d\n", kickout_water, kick_index);
        // we will decide whether kick 1~kick_index
        if(kick_index == 1) continue;
        if(nw[kick_index] != -1) continue;
        nw[kick_index] = kickout_water;

        SS.insert(kick_index);
        auto it = SS.find(kick_index);
        if(it != SS.begin())
            pv[kick_index] = *(--it);
    }

    printf("%lld\n", do_dp());
}

Subtask #1
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 1912 KB Output is correct
2 Correct 3 ms 1912 KB Output is correct
3 Correct 3 ms 1912 KB Output is correct
4 Correct 3 ms 1912 KB Output is correct
5 Correct 3 ms 1912 KB Output is correct
6 Correct 3 ms 1912 KB Output is correct
7 Correct 3 ms 1912 KB Output is correct
8 Correct 3 ms 1888 KB Output is correct
9 Correct 3 ms 1912 KB Output is correct
10 Correct 3 ms 1912 KB Output is correct
11 Correct 3 ms 1912 KB Output is correct
12 Correct 3 ms 1912 KB Output is correct
13 Correct 3 ms 1912 KB Output is correct
14 Correct 3 ms 1912 KB Output is correct
15 Correct 3 ms 1912 KB Output is correct
16 Correct 3 ms 1912 KB Output is correct
17 Correct 3 ms 1908 KB Output is correct
18 Correct 3 ms 1912 KB Output is correct
19 Correct 3 ms 1912 KB Output is correct
20 Correct 3 ms 1912 KB Output is correct
21 Correct 3 ms 1912 KB Output is correct
22 Correct 4 ms 1912 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 1912 KB Output is correct
2 Correct 3 ms 1912 KB Output is correct
3 Correct 3 ms 1912 KB Output is correct
4 Correct 3 ms 1912 KB Output is correct
5 Correct 3 ms 1912 KB Output is correct
6 Correct 3 ms 1912 KB Output is correct
7 Correct 3 ms 1912 KB Output is correct
8 Correct 3 ms 1888 KB Output is correct
9 Correct 3 ms 1912 KB Output is correct
10 Correct 3 ms 1912 KB Output is correct
11 Correct 3 ms 1912 KB Output is correct
12 Correct 3 ms 1912 KB Output is correct
13 Correct 3 ms 1912 KB Output is correct
14 Correct 3 ms 1912 KB Output is correct
15 Correct 3 ms 1912 KB Output is correct
16 Correct 3 ms 1912 KB Output is correct
17 Correct 3 ms 1908 KB Output is correct
18 Correct 3 ms 1912 KB Output is correct
19 Correct 3 ms 1912 KB Output is correct
20 Correct 3 ms 1912 KB Output is correct
21 Correct 3 ms 1912 KB Output is correct
22 Correct 4 ms 1912 KB Output is correct
23 Correct 4 ms 1912 KB Output is correct
24 Correct 4 ms 1912 KB Output is correct
25 Correct 4 ms 1912 KB Output is correct
26 Correct 4 ms 1912 KB Output is correct
27 Correct 4 ms 1912 KB Output is correct
28 Correct 3 ms 1912 KB Output is correct
29 Correct 4 ms 1912 KB Output is correct
30 Correct 4 ms 1912 KB Output is correct
31 Correct 3 ms 1912 KB Output is correct
32 Correct 4 ms 1916 KB Output is correct
33 Correct 3 ms 1912 KB Output is correct
34 Correct 3 ms 1912 KB Output is correct
35 Correct 3 ms 1912 KB Output is correct
36 Correct 3 ms 1912 KB Output is correct
37 Correct 3 ms 1912 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 1912 KB Output is correct
2 Correct 3 ms 1912 KB Output is correct
3 Correct 3 ms 1912 KB Output is correct
4 Correct 3 ms 1912 KB Output is correct
5 Correct 3 ms 1912 KB Output is correct
6 Correct 3 ms 1912 KB Output is correct
7 Correct 3 ms 1912 KB Output is correct
8 Correct 3 ms 1888 KB Output is correct
9 Correct 3 ms 1912 KB Output is correct
10 Correct 3 ms 1912 KB Output is correct
11 Correct 3 ms 1912 KB Output is correct
12 Correct 3 ms 1912 KB Output is correct
13 Correct 3 ms 1912 KB Output is correct
14 Correct 3 ms 1912 KB Output is correct
15 Correct 3 ms 1912 KB Output is correct
16 Correct 3 ms 1912 KB Output is correct
17 Correct 3 ms 1908 KB Output is correct
18 Correct 3 ms 1912 KB Output is correct
19 Correct 3 ms 1912 KB Output is correct
20 Correct 3 ms 1912 KB Output is correct
21 Correct 3 ms 1912 KB Output is correct
22 Correct 4 ms 1912 KB Output is correct
23 Correct 4 ms 1912 KB Output is correct
24 Correct 4 ms 1912 KB Output is correct
25 Correct 4 ms 1912 KB Output is correct
26 Correct 4 ms 1912 KB Output is correct
27 Correct 4 ms 1912 KB Output is correct
28 Correct 3 ms 1912 KB Output is correct
29 Correct 4 ms 1912 KB Output is correct
30 Correct 4 ms 1912 KB Output is correct
31 Correct 3 ms 1912 KB Output is correct
32 Correct 4 ms 1916 KB Output is correct
33 Correct 3 ms 1912 KB Output is correct
34 Correct 3 ms 1912 KB Output is correct
35 Correct 3 ms 1912 KB Output is correct
36 Correct 3 ms 1912 KB Output is correct
37 Correct 3 ms 1912 KB Output is correct
38 Correct 9 ms 2168 KB Output is correct
39 Correct 9 ms 2296 KB Output is correct
40 Correct 9 ms 2296 KB Output is correct
41 Correct 8 ms 2168 KB Output is correct
42 Correct 8 ms 2156 KB Output is correct
43 Correct 8 ms 2168 KB Output is correct
44 Correct 9 ms 2168 KB Output is correct
45 Correct 8 ms 2168 KB Output is correct
46 Correct 7 ms 2296 KB Output is correct
47 Correct 9 ms 2296 KB Output is correct
48 Correct 9 ms 2168 KB Output is correct
49 Correct 9 ms 2168 KB Output is correct
50 Correct 8 ms 2144 KB Output is correct
51 Correct 8 ms 2140 KB Output is correct

Subtask #4
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 1912 KB Output is correct
2 Correct 3 ms 1912 KB Output is correct
3 Correct 3 ms 1912 KB Output is correct
4 Correct 3 ms 1912 KB Output is correct
5 Correct 3 ms 1912 KB Output is correct
6 Correct 3 ms 1912 KB Output is correct
7 Correct 3 ms 1912 KB Output is correct
8 Correct 3 ms 1888 KB Output is correct
9 Correct 3 ms 1912 KB Output is correct
10 Correct 3 ms 1912 KB Output is correct
11 Correct 3 ms 1912 KB Output is correct
12 Correct 3 ms 1912 KB Output is correct
13 Correct 3 ms 1912 KB Output is correct
14 Correct 3 ms 1912 KB Output is correct
15 Correct 3 ms 1912 KB Output is correct
16 Correct 3 ms 1912 KB Output is correct
17 Correct 3 ms 1908 KB Output is correct
18 Correct 3 ms 1912 KB Output is correct
19 Correct 3 ms 1912 KB Output is correct
20 Correct 3 ms 1912 KB Output is correct
21 Correct 3 ms 1912 KB Output is correct
22 Correct 4 ms 1912 KB Output is correct
23 Correct 4 ms 1912 KB Output is correct
24 Correct 4 ms 1912 KB Output is correct
25 Correct 4 ms 1912 KB Output is correct
26 Correct 4 ms 1912 KB Output is correct
27 Correct 4 ms 1912 KB Output is correct
28 Correct 3 ms 1912 KB Output is correct
29 Correct 4 ms 1912 KB Output is correct
30 Correct 4 ms 1912 KB Output is correct
31 Correct 3 ms 1912 KB Output is correct
32 Correct 4 ms 1916 KB Output is correct
33 Correct 3 ms 1912 KB Output is correct
34 Correct 3 ms 1912 KB Output is correct
35 Correct 3 ms 1912 KB Output is correct
36 Correct 3 ms 1912 KB Output is correct
37 Correct 3 ms 1912 KB Output is correct
38 Correct 9 ms 2168 KB Output is correct
39 Correct 9 ms 2296 KB Output is correct
40 Correct 9 ms 2296 KB Output is correct
41 Correct 8 ms 2168 KB Output is correct
42 Correct 8 ms 2156 KB Output is correct
43 Correct 8 ms 2168 KB Output is correct
44 Correct 9 ms 2168 KB Output is correct
45 Correct 8 ms 2168 KB Output is correct
46 Correct 7 ms 2296 KB Output is correct
47 Correct 9 ms 2296 KB Output is correct
48 Correct 9 ms 2168 KB Output is correct
49 Correct 9 ms 2168 KB Output is correct
50 Correct 8 ms 2144 KB Output is correct
51 Correct 8 ms 2140 KB Output is correct
52 Correct 708 ms 21976 KB Output is correct
53 Correct 816 ms 25052 KB Output is correct
54 Correct 617 ms 21480 KB Output is correct
55 Correct 596 ms 21540 KB Output is correct
56 Correct 612 ms 21448 KB Output is correct
57 Correct 596 ms 21852 KB Output is correct
58 Correct 627 ms 19932 KB Output is correct
59 Correct 595 ms 21636 KB Output is correct
60 Correct 585 ms 21656 KB Output is correct
61 Correct 597 ms 21468 KB Output is correct
62 Correct 595 ms 21576 KB Output is correct
63 Correct 566 ms 39388 KB Output is correct
64 Correct 564 ms 15200 KB Output is correct
65 Correct 822 ms 25484 KB Output is correct
66 Correct 796 ms 25520 KB Output is correct
67 Correct 855 ms 25424 KB Output is correct
68 Correct 812 ms 25088 KB Output is correct
69 Correct 713 ms 20472 KB Output is correct
70 Correct 693 ms 20772 KB Output is correct
71 Correct 699 ms 20884 KB Output is correct
72 Correct 692 ms 20696 KB Output is correct
73 Correct 702 ms 20896 KB Output is correct
74 Correct 703 ms 20900 KB Output is correct
75 Correct 707 ms 20912 KB Output is correct
76 Correct 680 ms 21068 KB Output is correct
77 Correct 626 ms 20700 KB Output is correct
78 Correct 640 ms 20904 KB Output is correct
79 Correct 670 ms 20700 KB Output is correct
80 Correct 669 ms 20700 KB Output is correct