oj.uz

Submission #783659

# Submission time Handle Problem Language Result Execution time Memory
783659 2023-07-15T07:39:30 Z kshitij_sodani Long Distance Coach (JOI17_coach) C++14
100 / 100
 121 ms 38020 KB 
#include <bits/stdc++.h>
using namespace std;
#define a first
#define b second
#define pb push_back
typedef long long llo;
#define endl '\n'
 
 
llo it[400001];
llo dp[400001];
llo xx[400001];
llo pre[400001];
llo pre2[400001];
pair<llo,llo> sect(pair<llo,llo> aa,pair<llo,llo> bb){
	pair<llo,llo> zz={bb.b-aa.b,aa.a-bb.a};
	if(zz.b<0){
		zz.b=-zz.b;
		zz.a=-zz.a;
	}
	return zz;
}
int main(){
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);
	llo x,n,m,w,t;
	cin>>x>>n>>m>>w>>t;
	vector<pair<pair<llo,llo>,llo>> ss;
	llo ans=((x/t)+1)*w;
	for(llo i=0;i<n;i++){
		cin>>it[i];
		ss.pb({{it[i]%t,-1},it[i]/t});
	}
	ss.pb({{x%t,-1},x/t});
	for(llo i=0;i<m;i++){
		llo aa,bb;
		cin>>aa>>bb;
		if((aa)<(x%t)){
			ans+=((x/t)*w)+w;
			xx[i]=(x/t);
		}
		else{
			ans+=(((x/t))*w);
			xx[i]=(x/t)-1;
		}
		ss.pb({{aa,xx[i]},bb});
	}
	//cout<<ans<<endl;
	sort(ss.begin(),ss.end());
	dp[0]=0;
	llo ma=0;
	/*for(auto j:ss){
		cout<<j.a.a<<":"<<j.a.b<<":"<<j.b<<endl;
	}*/
	pre[0]=0;
	pre2[0]=0;
	for(int i=0;i<ss.size();i++){
		pre[i+1]=pre[i];
		pre2[i+1]=pre2[i];
		if(ss[i].a.b>=0){
			pre[i+1]+=ss[i].b;
			pre[i+1]-=w*ss[i].a.b;
			pre2[i+1]=pre2[i]+1;
		}
	}
	vector<pair<llo,llo>> ss2;
	vector<pair<llo,llo>> tt;
	for(llo i=0;i<ss.size();i++){
		dp[i+1]=dp[i];
		if(ss[i].a.b>=0){
			pair<llo,llo> cur={-w*pre2[i],-pre[i]-dp[i]};
			while(ss2.size()>=2){
				pair<llo,llo> aa=sect(ss2[ss2.size()-2],ss2.back());
				pair<llo,llo> bb=sect(ss2[ss2.size()-2],cur);
				__int128 xx=(__int128)aa.b*(__int128)bb.a;
				__int128 yy=(__int128)bb.b*(__int128)aa.a;
				if(xx<=yy){
					ss2.pop_back();
					tt.pop_back();
				}
				else{
					break;
				}
				//check if bb<aa
			}
			if(ss2.size()){
				tt.pb(sect(ss2.back(),cur));
			}
			ss2.pb(cur);
		}
		if(ss[i].a.b==-1){
			//llo su=0;
		/*	llo ma=1e18;
			for(auto jj:ss2){
				ma=min(ma,jj.a*(ss[i].b-1)+jj.b);
			}*/
			
			//query for lowest intersection below ss[i].b-1
			llo low=0;
			pair<llo,llo> aa={ss[i].b-1,1};
			for(int j=19;j>=0;j--){
				if(low+(1<<j)<tt.size()){
					pair<llo,llo> bb=tt[low+(1<<j)];
					__int128 xx=(__int128)aa.b*(__int128)bb.a;
					__int128 yy=(__int128)bb.b*(__int128)aa.a;
					if(xx<=yy){
						low+=(1<<j);
					}
					else{
					}
				}
			}
		/*	for(auto j:tt){
			    cout<<j.a<<":"<<j.b<<endl;
			}
			cout<<endl;*/
			llo ma2=1e18;
			for(int j=low-4;j<=low+4;j++){
				if(j<0 or j>=ss2.size()){
					continue;
				}
				ma2=min(ma2,ss2[j].a*(ss[i].b-1)+ss2[j].b);
			}
			
 
			dp[i+1]=max(dp[i+1],-ma2+(-ss[i].b+1)*pre2[i+1]*w-pre[i+1]);
			/*for(llo j=i-1;j>=0;j--){
				
				llo su=-w*pre2[j]*(-ss[i].b+1);
				//query max here
 
				pair<llo,llo> cur={-w*pre2[j],-pre[j]-dp[j]};
				//query is (ss[i].b-1)
 
 
				//slope is -ss[i].b+1
				//number of type 0 in prefix
				//dp[i+1]=max(dp[i+1],-cot+(-ss[i].b+1)*pre2[i+1]*w-pre[i+1]);
 
				//dp[i+1]=max(dp[i+1],dp[j]+su+(-ss[i].b+1)*pre2[i+1]*w+pre[j]-pre[i+1]);
			}*/
		}
		ma=max(ma,dp[i+1]);
		//cout<<dp[i+1]<<",";
	}
	//cout<<endl;
	ans-=ma;
	cout<<ans<<endl;
	
 
 
 
 
 
 
	return 0;
}

Compilation message

coach.cpp: In function 'int main()':
coach.cpp:57:15: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<std::pair<long long int, long long int>, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   57 |  for(int i=0;i<ss.size();i++){
      |              ~^~~~~~~~~~
coach.cpp:68:15: warning: comparison of integer expressions of different signedness: 'llo' {aka 'long long int'} and 'std::vector<std::pair<std::pair<long long int, long long int>, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   68 |  for(llo i=0;i<ss.size();i++){
      |              ~^~~~~~~~~~
coach.cpp:102:18: warning: comparison of integer expressions of different signedness: 'llo' {aka 'long long int'} and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  102 |     if(low+(1<<j)<tt.size()){
      |        ~~~~~~~~~~^~~~~~~~~~
coach.cpp:119:16: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  119 |     if(j<0 or j>=ss2.size()){
      |               ~^~~~~~~~~~~~

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 1 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 0 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 0 ms 340 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 0 ms 340 KB Output is correct
20 Correct 0 ms 340 KB Output is correct
21 Correct 0 ms 340 KB Output is correct
22 Correct 0 ms 340 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 1 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 0 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 0 ms 340 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 0 ms 340 KB Output is correct
20 Correct 0 ms 340 KB Output is correct
21 Correct 0 ms 340 KB Output is correct
22 Correct 0 ms 340 KB Output is correct
23 Correct 0 ms 340 KB Output is correct
24 Correct 0 ms 340 KB Output is correct
25 Correct 0 ms 340 KB Output is correct
26 Correct 0 ms 340 KB Output is correct
27 Correct 0 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 352 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 0 ms 340 KB Output is correct
32 Correct 0 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 0 ms 340 KB Output is correct
36 Correct 0 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 1 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 0 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 0 ms 340 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 0 ms 340 KB Output is correct
20 Correct 0 ms 340 KB Output is correct
21 Correct 0 ms 340 KB Output is correct
22 Correct 0 ms 340 KB Output is correct
23 Correct 0 ms 340 KB Output is correct
24 Correct 0 ms 340 KB Output is correct
25 Correct 0 ms 340 KB Output is correct
26 Correct 0 ms 340 KB Output is correct
27 Correct 0 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 352 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 0 ms 340 KB Output is correct
32 Correct 0 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 0 ms 340 KB Output is correct
36 Correct 0 ms 340 KB Output is correct
37 Correct 1 ms 340 KB Output is correct
38 Correct 1 ms 596 KB Output is correct
39 Correct 1 ms 596 KB Output is correct
40 Correct 1 ms 596 KB Output is correct
41 Correct 1 ms 596 KB Output is correct
42 Correct 1 ms 596 KB Output is correct
43 Correct 1 ms 596 KB Output is correct
44 Correct 1 ms 596 KB Output is correct
45 Correct 1 ms 596 KB Output is correct
46 Correct 1 ms 596 KB Output is correct
47 Correct 1 ms 596 KB Output is correct
48 Correct 1 ms 596 KB Output is correct
49 Correct 1 ms 596 KB Output is correct
50 Correct 1 ms 596 KB Output is correct
51 Correct 1 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 1 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 0 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 0 ms 340 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 0 ms 340 KB Output is correct
20 Correct 0 ms 340 KB Output is correct
21 Correct 0 ms 340 KB Output is correct
22 Correct 0 ms 340 KB Output is correct
23 Correct 0 ms 340 KB Output is correct
24 Correct 0 ms 340 KB Output is correct
25 Correct 0 ms 340 KB Output is correct
26 Correct 0 ms 340 KB Output is correct
27 Correct 0 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 352 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 0 ms 340 KB Output is correct
32 Correct 0 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 0 ms 340 KB Output is correct
36 Correct 0 ms 340 KB Output is correct
37 Correct 1 ms 340 KB Output is correct
38 Correct 1 ms 596 KB Output is correct
39 Correct 1 ms 596 KB Output is correct
40 Correct 1 ms 596 KB Output is correct
41 Correct 1 ms 596 KB Output is correct
42 Correct 1 ms 596 KB Output is correct
43 Correct 1 ms 596 KB Output is correct
44 Correct 1 ms 596 KB Output is correct
45 Correct 1 ms 596 KB Output is correct
46 Correct 1 ms 596 KB Output is correct
47 Correct 1 ms 596 KB Output is correct
48 Correct 1 ms 596 KB Output is correct
49 Correct 1 ms 596 KB Output is correct
50 Correct 1 ms 596 KB Output is correct
51 Correct 1 ms 596 KB Output is correct
52 Correct 104 ms 22320 KB Output is correct
53 Correct 121 ms 28128 KB Output is correct
54 Correct 100 ms 27172 KB Output is correct
55 Correct 113 ms 27440 KB Output is correct
56 Correct 101 ms 27752 KB Output is correct
57 Correct 101 ms 27492 KB Output is correct
58 Correct 104 ms 28184 KB Output is correct
59 Correct 100 ms 27440 KB Output is correct
60 Correct 99 ms 27192 KB Output is correct
61 Correct 98 ms 27368 KB Output is correct
62 Correct 98 ms 27372 KB Output is correct
63 Correct 108 ms 38020 KB Output is correct
64 Correct 85 ms 28192 KB Output is correct
65 Correct 120 ms 28108 KB Output is correct
66 Correct 106 ms 28040 KB Output is correct
67 Correct 111 ms 28236 KB Output is correct
68 Correct 107 ms 28216 KB Output is correct
69 Correct 106 ms 27772 KB Output is correct
70 Correct 108 ms 27860 KB Output is correct
71 Correct 105 ms 27740 KB Output is correct
72 Correct 108 ms 27840 KB Output is correct
73 Correct 104 ms 27900 KB Output is correct
74 Correct 106 ms 27912 KB Output is correct
75 Correct 103 ms 27996 KB Output is correct
76 Correct 121 ms 28080 KB Output is correct
77 Correct 105 ms 27768 KB Output is correct
78 Correct 103 ms 28016 KB Output is correct
79 Correct 103 ms 27460 KB Output is correct
80 Correct 103 ms 27408 KB Output is correct