oj.uz

Submission #320638

# Submission time Handle Problem Language Result Execution time Memory
320638 2020-11-09T11:18:08 Z kshitij_sodani Discharging (NOI20_discharging) C++14
100 / 100
 975 ms 344620 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){
		if(ss[no].size()==0){
			re(no,l,r);
		}
	//	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 75 ms 117732 KB Output is correct
2 Correct 74 ms 117860 KB Output is correct
3 Correct 75 ms 117732 KB Output is correct
4 Correct 74 ms 117732 KB Output is correct
5 Correct 76 ms 117732 KB Output is correct
6 Correct 77 ms 117732 KB Output is correct
7 Correct 75 ms 117732 KB Output is correct
8 Correct 80 ms 117864 KB Output is correct
9 Correct 76 ms 117736 KB Output is correct
10 Correct 76 ms 117732 KB Output is correct
11 Correct 75 ms 117728 KB Output is correct
12 Correct 75 ms 117732 KB Output is correct
13 Correct 77 ms 117736 KB Output is correct
14 Correct 76 ms 117732 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 77 ms 117988 KB Output is correct
2 Correct 81 ms 117992 KB Output is correct
3 Correct 77 ms 117988 KB Output is correct
4 Correct 76 ms 117988 KB Output is correct
5 Correct 80 ms 117988 KB Output is correct
6 Correct 85 ms 117988 KB Output is correct
7 Correct 78 ms 118112 KB Output is correct
8 Correct 77 ms 117988 KB Output is correct
9 Correct 77 ms 117988 KB Output is correct
10 Correct 77 ms 117984 KB Output is correct
11 Correct 77 ms 117988 KB Output is correct
12 Correct 77 ms 117988 KB Output is correct
13 Correct 79 ms 117988 KB Output is correct
14 Correct 79 ms 117988 KB Output is correct
15 Correct 77 ms 117988 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 77 ms 117988 KB Output is correct
2 Correct 81 ms 117992 KB Output is correct
3 Correct 77 ms 117988 KB Output is correct
4 Correct 76 ms 117988 KB Output is correct
5 Correct 80 ms 117988 KB Output is correct
6 Correct 85 ms 117988 KB Output is correct
7 Correct 78 ms 118112 KB Output is correct
8 Correct 77 ms 117988 KB Output is correct
9 Correct 77 ms 117988 KB Output is correct
10 Correct 77 ms 117984 KB Output is correct
11 Correct 77 ms 117988 KB Output is correct
12 Correct 77 ms 117988 KB Output is correct
13 Correct 79 ms 117988 KB Output is correct
14 Correct 79 ms 117988 KB Output is correct
15 Correct 77 ms 117988 KB Output is correct
16 Correct 905 ms 286968 KB Output is correct
17 Correct 909 ms 272724 KB Output is correct
18 Correct 906 ms 303436 KB Output is correct
19 Correct 912 ms 268896 KB Output is correct
20 Correct 954 ms 275344 KB Output is correct
21 Correct 920 ms 273620 KB Output is correct
22 Correct 910 ms 278208 KB Output is correct
23 Correct 930 ms 264792 KB Output is correct
24 Correct 973 ms 274732 KB Output is correct
25 Correct 943 ms 263644 KB Output is correct
26 Correct 961 ms 262996 KB Output is correct
27 Correct 975 ms 280316 KB Output is correct
28 Correct 937 ms 272016 KB Output is correct
29 Correct 929 ms 264468 KB Output is correct
30 Correct 951 ms 264492 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 652 ms 233260 KB Output is correct
2 Correct 649 ms 234536 KB Output is correct
3 Correct 658 ms 234312 KB Output is correct
4 Correct 656 ms 234280 KB Output is correct
5 Correct 646 ms 234376 KB Output is correct
6 Correct 655 ms 234580 KB Output is correct
7 Correct 648 ms 234408 KB Output is correct
8 Correct 658 ms 234536 KB Output is correct
9 Correct 648 ms 234280 KB Output is correct
10 Correct 661 ms 234280 KB Output is correct

Subtask #5
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 75 ms 117732 KB Output is correct
2 Correct 74 ms 117860 KB Output is correct
3 Correct 75 ms 117732 KB Output is correct
4 Correct 74 ms 117732 KB Output is correct
5 Correct 76 ms 117732 KB Output is correct
6 Correct 77 ms 117732 KB Output is correct
7 Correct 75 ms 117732 KB Output is correct
8 Correct 80 ms 117864 KB Output is correct
9 Correct 76 ms 117736 KB Output is correct
10 Correct 76 ms 117732 KB Output is correct
11 Correct 75 ms 117728 KB Output is correct
12 Correct 75 ms 117732 KB Output is correct
13 Correct 77 ms 117736 KB Output is correct
14 Correct 76 ms 117732 KB Output is correct
15 Correct 77 ms 117988 KB Output is correct
16 Correct 81 ms 117992 KB Output is correct
17 Correct 77 ms 117988 KB Output is correct
18 Correct 76 ms 117988 KB Output is correct
19 Correct 80 ms 117988 KB Output is correct
20 Correct 85 ms 117988 KB Output is correct
21 Correct 78 ms 118112 KB Output is correct
22 Correct 77 ms 117988 KB Output is correct
23 Correct 77 ms 117988 KB Output is correct
24 Correct 77 ms 117984 KB Output is correct
25 Correct 77 ms 117988 KB Output is correct
26 Correct 77 ms 117988 KB Output is correct
27 Correct 79 ms 117988 KB Output is correct
28 Correct 79 ms 117988 KB Output is correct
29 Correct 77 ms 117988 KB Output is correct
30 Correct 76 ms 117988 KB Output is correct
31 Correct 77 ms 117988 KB Output is correct
32 Correct 77 ms 117984 KB Output is correct
33 Correct 75 ms 117988 KB Output is correct
34 Correct 76 ms 117988 KB Output is correct
35 Correct 76 ms 117988 KB Output is correct
36 Correct 76 ms 117988 KB Output is correct
37 Correct 75 ms 117988 KB Output is correct
38 Correct 75 ms 117988 KB Output is correct
39 Correct 76 ms 118116 KB Output is correct
40 Correct 75 ms 117988 KB Output is correct
41 Correct 76 ms 117988 KB Output is correct
42 Correct 77 ms 117988 KB Output is correct
43 Correct 78 ms 117992 KB Output is correct
44 Correct 79 ms 117988 KB Output is correct
45 Correct 77 ms 117988 KB Output is correct
46 Correct 77 ms 117984 KB Output is correct
47 Correct 75 ms 117988 KB Output is correct
48 Correct 77 ms 117988 KB Output is correct
49 Correct 75 ms 117988 KB Output is correct
50 Correct 78 ms 117988 KB Output is correct

Subtask #6
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 75 ms 117732 KB Output is correct
2 Correct 74 ms 117860 KB Output is correct
3 Correct 75 ms 117732 KB Output is correct
4 Correct 74 ms 117732 KB Output is correct
5 Correct 76 ms 117732 KB Output is correct
6 Correct 77 ms 117732 KB Output is correct
7 Correct 75 ms 117732 KB Output is correct
8 Correct 80 ms 117864 KB Output is correct
9 Correct 76 ms 117736 KB Output is correct
10 Correct 76 ms 117732 KB Output is correct
11 Correct 75 ms 117728 KB Output is correct
12 Correct 75 ms 117732 KB Output is correct
13 Correct 77 ms 117736 KB Output is correct
14 Correct 76 ms 117732 KB Output is correct
15 Correct 77 ms 117988 KB Output is correct
16 Correct 81 ms 117992 KB Output is correct
17 Correct 77 ms 117988 KB Output is correct
18 Correct 76 ms 117988 KB Output is correct
19 Correct 80 ms 117988 KB Output is correct
20 Correct 85 ms 117988 KB Output is correct
21 Correct 78 ms 118112 KB Output is correct
22 Correct 77 ms 117988 KB Output is correct
23 Correct 77 ms 117988 KB Output is correct
24 Correct 77 ms 117984 KB Output is correct
25 Correct 77 ms 117988 KB Output is correct
26 Correct 77 ms 117988 KB Output is correct
27 Correct 79 ms 117988 KB Output is correct
28 Correct 79 ms 117988 KB Output is correct
29 Correct 77 ms 117988 KB Output is correct
30 Correct 905 ms 286968 KB Output is correct
31 Correct 909 ms 272724 KB Output is correct
32 Correct 906 ms 303436 KB Output is correct
33 Correct 912 ms 268896 KB Output is correct
34 Correct 954 ms 275344 KB Output is correct
35 Correct 920 ms 273620 KB Output is correct
36 Correct 910 ms 278208 KB Output is correct
37 Correct 930 ms 264792 KB Output is correct
38 Correct 973 ms 274732 KB Output is correct
39 Correct 943 ms 263644 KB Output is correct
40 Correct 961 ms 262996 KB Output is correct
41 Correct 975 ms 280316 KB Output is correct
42 Correct 937 ms 272016 KB Output is correct
43 Correct 929 ms 264468 KB Output is correct
44 Correct 951 ms 264492 KB Output is correct
45 Correct 652 ms 233260 KB Output is correct
46 Correct 649 ms 234536 KB Output is correct
47 Correct 658 ms 234312 KB Output is correct
48 Correct 656 ms 234280 KB Output is correct
49 Correct 646 ms 234376 KB Output is correct
50 Correct 655 ms 234580 KB Output is correct
51 Correct 648 ms 234408 KB Output is correct
52 Correct 658 ms 234536 KB Output is correct
53 Correct 648 ms 234280 KB Output is correct
54 Correct 661 ms 234280 KB Output is correct
55 Correct 76 ms 117988 KB Output is correct
56 Correct 77 ms 117988 KB Output is correct
57 Correct 77 ms 117984 KB Output is correct
58 Correct 75 ms 117988 KB Output is correct
59 Correct 76 ms 117988 KB Output is correct
60 Correct 76 ms 117988 KB Output is correct
61 Correct 76 ms 117988 KB Output is correct
62 Correct 75 ms 117988 KB Output is correct
63 Correct 75 ms 117988 KB Output is correct
64 Correct 76 ms 118116 KB Output is correct
65 Correct 75 ms 117988 KB Output is correct
66 Correct 76 ms 117988 KB Output is correct
67 Correct 77 ms 117988 KB Output is correct
68 Correct 78 ms 117992 KB Output is correct
69 Correct 79 ms 117988 KB Output is correct
70 Correct 77 ms 117988 KB Output is correct
71 Correct 77 ms 117984 KB Output is correct
72 Correct 75 ms 117988 KB Output is correct
73 Correct 77 ms 117988 KB Output is correct
74 Correct 75 ms 117988 KB Output is correct
75 Correct 78 ms 117988 KB Output is correct
76 Correct 937 ms 332004 KB Output is correct
77 Correct 944 ms 339176 KB Output is correct
78 Correct 948 ms 335388 KB Output is correct
79 Correct 972 ms 341004 KB Output is correct
80 Correct 975 ms 334020 KB Output is correct
81 Correct 939 ms 340000 KB Output is correct
82 Correct 949 ms 337204 KB Output is correct
83 Correct 948 ms 334540 KB Output is correct
84 Correct 942 ms 338472 KB Output is correct
85 Correct 958 ms 338688 KB Output is correct
86 Correct 939 ms 344620 KB Output is correct
87 Correct 933 ms 341588 KB Output is correct
88 Correct 949 ms 337504 KB Output is correct
89 Correct 932 ms 334728 KB Output is correct
90 Correct 947 ms 340476 KB Output is correct
91 Correct 947 ms 337900 KB Output is correct
92 Correct 918 ms 258696 KB Output is correct
93 Correct 906 ms 269788 KB Output is correct
94 Correct 922 ms 342376 KB Output is correct
95 Correct 959 ms 339916 KB Output is correct
96 Correct 946 ms 339664 KB Output is correct
97 Correct 944 ms 338256 KB Output is correct
98 Correct 936 ms 332396 KB Output is correct
99 Correct 943 ms 339836 KB Output is correct
100 Correct 930 ms 335208 KB Output is correct