oj.uz

Submission #432282

# Submission time Handle Problem Language Result Execution time Memory
432282 2021-06-18T07:18:31 Z kai824 Long Distance Coach (JOI17_coach) C++17
100 / 100
 178 ms 17896 KB 
#include<bits/stdc++.h>
using namespace std;

#define int long long
typedef pair<int,int> pii;
#define f first
#define s second
#define mp make_pair

int x,n,m,w,t;
int kp[200005],dp[200005];
int dea[200005];
pii ppl[200005];

inline int calc(int dj,int cur_time){
  return ((cur_time/t) + (dj<=(cur_time%t)?1:0))*w;
}

vector<pair<int,pii> >cht;

int inter(pii a,pii b){
  return (b.s-a.s)/(a.f-b.f);
}
void add_line(int m,int c){//strictly decreasing gradients...
  pii ll=mp(m,c);
  while(cht.size()>1 && inter(ll,cht.back().s)<=cht[cht.size()-2].f){
    cht.pop_back();
  }
  if(cht.size()>0)cht.back().f=inter(cht.back().s,ll);
  cht.emplace_back(LLONG_MAX,ll);
}
int query(int x){
  // int ans=1e15;
  // for(auto ll:cht){
  //   cout<<ll.f<<'\t'<<ll.s.f<<' '<<ll.s.s<<'\n';
  //   ans=min(ans,(x*ll.s.f)+ll.s.s);
  // }
  // return ans;
  pii ll=(upper_bound(cht.begin(),cht.end(),mp(x,mp(LLONG_MAX,LLONG_MAX))))->s;
  return (x*ll.f)+ll.s;
}

int32_t main(){
  ios_base::sync_with_stdio(false);cin.tie(0);
  cin>>x>>n>>m>>w>>t;

  for(int i=0;i<n;i++){//"break points"
    cin>>kp[i];
  }
  kp[n++]=x;
  for(int i=1;i<=m;i++){//the ppl...
    cin>>ppl[i].f>>ppl[i].s;//d_j, refund cost
  }
  ppl[0]=mp(0,0);//driver...
  sort(ppl,ppl+m+1);
  //prefix sum refund costs
  for(int i=1;i<=m;i++){
    ppl[i].s+=ppl[i-1].s;
  }

  for(int i=0;i<n;i++){
    int it=upper_bound(ppl,ppl+m+1,mp(kp[i]%t,LLONG_MAX))-ppl-1;
    if(dea[it]==0)dea[it]=kp[i];
    else dea[it]=min(dea[it],kp[i]);
  }
  dp[0]=calc(0,x);
  add_line(0,dp[0]);
  for(int i=1;i<=m;i++){
    //cout<<ppl[i].s<<'\n';
    int val=dp[i-1]+calc(ppl[i].f,x);//if we don't refund...
    if(dea[i]>0){
      // for(int j=0;j<i;j++){
      //   val=min(val,dp[j]+ppl[i].s-ppl[j].s+((i-j)*(calc(ppl[i].f,dea[i]-t)) ));
      // }
      int x=calc(ppl[i].f,dea[i]-t);
      val=min(val,ppl[i].s+(i*x)+query(x) );
    }
    dp[i]=val;

    add_line(-i,dp[i]-ppl[i].s);
    // cout<<i<<' '<<dp[i]<<'\n';
  }
  cout<<dp[m];
  return 0;
}

Subtask #1
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 0 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 0 ms 332 KB Output is correct
6 Correct 0 ms 332 KB Output is correct
7 Correct 0 ms 332 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 0 ms 332 KB Output is correct
10 Correct 0 ms 332 KB Output is correct
11 Correct 0 ms 332 KB Output is correct
12 Correct 0 ms 332 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 1 ms 332 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 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 0 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 0 ms 332 KB Output is correct
6 Correct 0 ms 332 KB Output is correct
7 Correct 0 ms 332 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 0 ms 332 KB Output is correct
10 Correct 0 ms 332 KB Output is correct
11 Correct 0 ms 332 KB Output is correct
12 Correct 0 ms 332 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 1 ms 332 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 332 KB Output is correct
25 Correct 0 ms 332 KB Output is correct
26 Correct 1 ms 332 KB Output is correct
27 Correct 1 ms 332 KB Output is correct
28 Correct 1 ms 332 KB Output is correct
29 Correct 1 ms 332 KB Output is correct
30 Correct 1 ms 332 KB Output is correct
31 Correct 1 ms 332 KB Output is correct
32 Correct 1 ms 332 KB Output is correct
33 Correct 1 ms 332 KB Output is correct
34 Correct 1 ms 332 KB Output is correct
35 Correct 1 ms 332 KB Output is correct
36 Correct 1 ms 332 KB Output is correct
37 Correct 1 ms 332 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 0 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 0 ms 332 KB Output is correct
6 Correct 0 ms 332 KB Output is correct
7 Correct 0 ms 332 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 0 ms 332 KB Output is correct
10 Correct 0 ms 332 KB Output is correct
11 Correct 0 ms 332 KB Output is correct
12 Correct 0 ms 332 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 1 ms 332 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 332 KB Output is correct
25 Correct 0 ms 332 KB Output is correct
26 Correct 1 ms 332 KB Output is correct
27 Correct 1 ms 332 KB Output is correct
28 Correct 1 ms 332 KB Output is correct
29 Correct 1 ms 332 KB Output is correct
30 Correct 1 ms 332 KB Output is correct
31 Correct 1 ms 332 KB Output is correct
32 Correct 1 ms 332 KB Output is correct
33 Correct 1 ms 332 KB Output is correct
34 Correct 1 ms 332 KB Output is correct
35 Correct 1 ms 332 KB Output is correct
36 Correct 1 ms 332 KB Output is correct
37 Correct 1 ms 332 KB Output is correct
38 Correct 2 ms 332 KB Output is correct
39 Correct 1 ms 332 KB Output is correct
40 Correct 2 ms 332 KB Output is correct
41 Correct 2 ms 348 KB Output is correct
42 Correct 2 ms 332 KB Output is correct
43 Correct 1 ms 332 KB Output is correct
44 Correct 2 ms 332 KB Output is correct
45 Correct 2 ms 332 KB Output is correct
46 Correct 1 ms 460 KB Output is correct
47 Correct 1 ms 332 KB Output is correct
48 Correct 2 ms 332 KB Output is correct
49 Correct 2 ms 332 KB Output is correct
50 Correct 2 ms 332 KB Output is correct
51 Correct 2 ms 332 KB Output is correct

Subtask #4
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct
3 Correct 0 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 0 ms 332 KB Output is correct
6 Correct 0 ms 332 KB Output is correct
7 Correct 0 ms 332 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 0 ms 332 KB Output is correct
10 Correct 0 ms 332 KB Output is correct
11 Correct 0 ms 332 KB Output is correct
12 Correct 0 ms 332 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 1 ms 332 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 332 KB Output is correct
25 Correct 0 ms 332 KB Output is correct
26 Correct 1 ms 332 KB Output is correct
27 Correct 1 ms 332 KB Output is correct
28 Correct 1 ms 332 KB Output is correct
29 Correct 1 ms 332 KB Output is correct
30 Correct 1 ms 332 KB Output is correct
31 Correct 1 ms 332 KB Output is correct
32 Correct 1 ms 332 KB Output is correct
33 Correct 1 ms 332 KB Output is correct
34 Correct 1 ms 332 KB Output is correct
35 Correct 1 ms 332 KB Output is correct
36 Correct 1 ms 332 KB Output is correct
37 Correct 1 ms 332 KB Output is correct
38 Correct 2 ms 332 KB Output is correct
39 Correct 1 ms 332 KB Output is correct
40 Correct 2 ms 332 KB Output is correct
41 Correct 2 ms 348 KB Output is correct
42 Correct 2 ms 332 KB Output is correct
43 Correct 1 ms 332 KB Output is correct
44 Correct 2 ms 332 KB Output is correct
45 Correct 2 ms 332 KB Output is correct
46 Correct 1 ms 460 KB Output is correct
47 Correct 1 ms 332 KB Output is correct
48 Correct 2 ms 332 KB Output is correct
49 Correct 2 ms 332 KB Output is correct
50 Correct 2 ms 332 KB Output is correct
51 Correct 2 ms 332 KB Output is correct
52 Correct 153 ms 8188 KB Output is correct
53 Correct 115 ms 13868 KB Output is correct
54 Correct 145 ms 12968 KB Output is correct
55 Correct 145 ms 13112 KB Output is correct
56 Correct 146 ms 13464 KB Output is correct
57 Correct 144 ms 13168 KB Output is correct
58 Correct 178 ms 13796 KB Output is correct
59 Correct 145 ms 13180 KB Output is correct
60 Correct 143 ms 12996 KB Output is correct
61 Correct 150 ms 13092 KB Output is correct
62 Correct 151 ms 13188 KB Output is correct
63 Correct 101 ms 17896 KB Output is correct
64 Correct 111 ms 12316 KB Output is correct
65 Correct 120 ms 13796 KB Output is correct
66 Correct 116 ms 13836 KB Output is correct
67 Correct 116 ms 13764 KB Output is correct
68 Correct 116 ms 13888 KB Output is correct
69 Correct 155 ms 13572 KB Output is correct
70 Correct 156 ms 13584 KB Output is correct
71 Correct 169 ms 13556 KB Output is correct
72 Correct 153 ms 13588 KB Output is correct
73 Correct 161 ms 13608 KB Output is correct
74 Correct 160 ms 13636 KB Output is correct
75 Correct 149 ms 13720 KB Output is correct
76 Correct 152 ms 13800 KB Output is correct
77 Correct 171 ms 13480 KB Output is correct
78 Correct 155 ms 13768 KB Output is correct
79 Correct 150 ms 13316 KB Output is correct
80 Correct 164 ms 13332 KB Output is correct