oj.uz

Submission #320635

# Submission time Handle Problem Language Result Execution time Memory
320635 2020-11-09T11:13:56 Z kshitij_sodani Discharging (NOI20_discharging) C++14
36 / 100
 1000 ms 542880 KB 
//#pragma GCC optimize("Ofast,unroll-loops")
#include <bits/stdc++.h>
using namespace std;
typedef long long llo;
#define mp make_pair
#define pb push_back
#define a first 
#define b second
//#define endl '\n'

llo n;
llo it[1000001];
vector<pair<llo,llo>> ss[4*1000001];
llo ind[1000001*4];
vector<pair<llo,llo>> pre[1000001];
llo dp[1000001];
void build(llo no,llo l,llo r){
	if(l==r){
		pre[r].pb({l,no});
	}
	else{
		pre[r].pb({l,no});
		llo mid=(l+r)/2;
		build(no*2+1,l,mid);
		build(no*2+2,mid+1,r);
	}
}
void re(llo no,llo l,llo r){
//	cout<<no<<":"<<l<<":"<<r<<endl;
	for(llo i=l;i<=r;i++){
		//cout<<no<<":"<<i<<endl;
		pair<llo,llo> xx={(n-i-1),dp[i]};
		while(ss[no].size()>=2){
			llo aa=ss[no].back().b-xx.b;
			llo bb=ss[no].back().a-xx.a;
			llo cc=ss[no][ss[no].size()-2].b-ss[no].back().b;
			llo dd=ss[no][ss[no].size()-2].a-ss[no].back().a;
			aa=-aa;
			cc=-cc;
			long double kk=aa*dd;
			long double mm=bb*cc;
			if(kk<mm){
				ss[no].pop_back();
				continue;
			}
			else{
				break;
			}
		}
		ss[no].pb(xx);
	}
}
llo eval(pair<llo,llo> bb,llo cc){
	return bb.a*cc+bb.b;
}
llo qq=0;
llo query(llo no,llo l,llo r,llo aa,llo bb){

	if(r<aa or l>bb){
		return (llo)1e18;
	}
	if(aa<=l and r<=bb){
	//	cout<<no<<":"<<endl;
		while(ind[no]<(llo)(ss[no].size())-1){
			if(eval(ss[no][ind[no]],qq)>=eval(ss[no][ind[no]+1],qq)){
				ind[no]++;
			}
			else{
				break;
			}
		}
		return eval(ss[no][ind[no]],qq);
	}
	else{
		llo mid=(l+r)/2;
		return min(query(no*2+1,l,mid,aa,bb),query(no*2+2,mid+1,r,aa,bb));
	}
}
int main(){
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);
	cin>>n;
	for(llo i=0;i<n;i++){
		cin>>it[i];
	}
	vector<pair<llo,llo>> ss;
	build(0,0,n-1);
	for(llo i=0;i<n;i++){
		while(ss.size()){
			if(ss.back().a<=it[i]){
				ss.pop_back();
			}
			else{
				break;
			}
		}
	//	cout<<i<<endl;
		llo la=-1;
		if(ss.size()){
			la=ss.back().b;
		}
	
		ss.pb({it[i],i});
		dp[i]=ss[0].a*n;
		if(la!=-1){
			dp[i]=min(dp[i],dp[la]);
		}
	
		qq=it[i];
		if(i>0){
			dp[i]=min(dp[i],query(0,0,n-1,max(la,(llo)0),i-1));
		}	
		//cout<<dp[i]<<",";
		if(i==n-1){
			break;
		}
		for(auto j:pre[i]){
			re(j.b,j.a,i);
		}	
	}
//	cout<<endl;
	cout<<dp[n-1]<<endl;



















 
 
	return 0;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 72 ms 117732 KB Output is correct
2 Correct 76 ms 117736 KB Output is correct
3 Correct 78 ms 117732 KB Output is correct
4 Correct 77 ms 117736 KB Output is correct
5 Correct 72 ms 117740 KB Output is correct
6 Correct 81 ms 117732 KB Output is correct
7 Correct 73 ms 117732 KB Output is correct
8 Correct 76 ms 117732 KB Output is correct
9 Correct 72 ms 117732 KB Output is correct
10 Correct 71 ms 117732 KB Output is correct
11 Correct 73 ms 117740 KB Output is correct
12 Correct 72 ms 117732 KB Output is correct
13 Correct 72 ms 117732 KB Output is correct
14 Correct 72 ms 117940 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 77 ms 118116 KB Output is correct
2 Correct 73 ms 117988 KB Output is correct
3 Correct 75 ms 118116 KB Output is correct
4 Correct 76 ms 118116 KB Output is correct
5 Correct 75 ms 118116 KB Output is correct
6 Correct 76 ms 118116 KB Output is correct
7 Correct 79 ms 118116 KB Output is correct
8 Correct 76 ms 117988 KB Output is correct
9 Correct 80 ms 117988 KB Output is correct
10 Correct 76 ms 117988 KB Output is correct
11 Correct 74 ms 118116 KB Output is correct
12 Correct 74 ms 118116 KB Output is correct
13 Correct 84 ms 117988 KB Output is correct
14 Correct 75 ms 118120 KB Output is correct
15 Correct 76 ms 118116 KB Output is correct

Subtask #3
0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 77 ms 118116 KB Output is correct
2 Correct 73 ms 117988 KB Output is correct
3 Correct 75 ms 118116 KB Output is correct
4 Correct 76 ms 118116 KB Output is correct
5 Correct 75 ms 118116 KB Output is correct
6 Correct 76 ms 118116 KB Output is correct
7 Correct 79 ms 118116 KB Output is correct
8 Correct 76 ms 117988 KB Output is correct
9 Correct 80 ms 117988 KB Output is correct
10 Correct 76 ms 117988 KB Output is correct
11 Correct 74 ms 118116 KB Output is correct
12 Correct 74 ms 118116 KB Output is correct
13 Correct 84 ms 117988 KB Output is correct
14 Correct 75 ms 118120 KB Output is correct
15 Correct 76 ms 118116 KB Output is correct
16 Execution timed out 1097 ms 374904 KB Time limit exceeded
17 Halted 0 ms 0 KB -

Subtask #4
0 / 11.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1088 ms 542880 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #5
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 72 ms 117732 KB Output is correct
2 Correct 76 ms 117736 KB Output is correct
3 Correct 78 ms 117732 KB Output is correct
4 Correct 77 ms 117736 KB Output is correct
5 Correct 72 ms 117740 KB Output is correct
6 Correct 81 ms 117732 KB Output is correct
7 Correct 73 ms 117732 KB Output is correct
8 Correct 76 ms 117732 KB Output is correct
9 Correct 72 ms 117732 KB Output is correct
10 Correct 71 ms 117732 KB Output is correct
11 Correct 73 ms 117740 KB Output is correct
12 Correct 72 ms 117732 KB Output is correct
13 Correct 72 ms 117732 KB Output is correct
14 Correct 72 ms 117940 KB Output is correct
15 Correct 77 ms 118116 KB Output is correct
16 Correct 73 ms 117988 KB Output is correct
17 Correct 75 ms 118116 KB Output is correct
18 Correct 76 ms 118116 KB Output is correct
19 Correct 75 ms 118116 KB Output is correct
20 Correct 76 ms 118116 KB Output is correct
21 Correct 79 ms 118116 KB Output is correct
22 Correct 76 ms 117988 KB Output is correct
23 Correct 80 ms 117988 KB Output is correct
24 Correct 76 ms 117988 KB Output is correct
25 Correct 74 ms 118116 KB Output is correct
26 Correct 74 ms 118116 KB Output is correct
27 Correct 84 ms 117988 KB Output is correct
28 Correct 75 ms 118120 KB Output is correct
29 Correct 76 ms 118116 KB Output is correct
30 Correct 78 ms 118116 KB Output is correct
31 Correct 79 ms 118116 KB Output is correct
32 Correct 85 ms 118116 KB Output is correct
33 Correct 79 ms 118116 KB Output is correct
34 Correct 79 ms 118116 KB Output is correct
35 Correct 86 ms 118116 KB Output is correct
36 Correct 78 ms 118116 KB Output is correct
37 Correct 80 ms 118116 KB Output is correct
38 Correct 78 ms 118112 KB Output is correct
39 Correct 77 ms 118116 KB Output is correct
40 Correct 79 ms 118116 KB Output is correct
41 Correct 77 ms 118112 KB Output is correct
42 Correct 78 ms 118372 KB Output is correct
43 Correct 79 ms 118116 KB Output is correct
44 Correct 78 ms 118116 KB Output is correct
45 Correct 78 ms 118116 KB Output is correct
46 Correct 77 ms 118116 KB Output is correct
47 Correct 78 ms 118116 KB Output is correct
48 Correct 77 ms 118116 KB Output is correct
49 Correct 78 ms 118116 KB Output is correct
50 Correct 78 ms 118116 KB Output is correct

Subtask #6
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 72 ms 117732 KB Output is correct
2 Correct 76 ms 117736 KB Output is correct
3 Correct 78 ms 117732 KB Output is correct
4 Correct 77 ms 117736 KB Output is correct
5 Correct 72 ms 117740 KB Output is correct
6 Correct 81 ms 117732 KB Output is correct
7 Correct 73 ms 117732 KB Output is correct
8 Correct 76 ms 117732 KB Output is correct
9 Correct 72 ms 117732 KB Output is correct
10 Correct 71 ms 117732 KB Output is correct
11 Correct 73 ms 117740 KB Output is correct
12 Correct 72 ms 117732 KB Output is correct
13 Correct 72 ms 117732 KB Output is correct
14 Correct 72 ms 117940 KB Output is correct
15 Correct 77 ms 118116 KB Output is correct
16 Correct 73 ms 117988 KB Output is correct
17 Correct 75 ms 118116 KB Output is correct
18 Correct 76 ms 118116 KB Output is correct
19 Correct 75 ms 118116 KB Output is correct
20 Correct 76 ms 118116 KB Output is correct
21 Correct 79 ms 118116 KB Output is correct
22 Correct 76 ms 117988 KB Output is correct
23 Correct 80 ms 117988 KB Output is correct
24 Correct 76 ms 117988 KB Output is correct
25 Correct 74 ms 118116 KB Output is correct
26 Correct 74 ms 118116 KB Output is correct
27 Correct 84 ms 117988 KB Output is correct
28 Correct 75 ms 118120 KB Output is correct
29 Correct 76 ms 118116 KB Output is correct
30 Execution timed out 1097 ms 374904 KB Time limit exceeded
31 Halted 0 ms 0 KB -