oj.uz

Submission #320647

# Submission time Handle Problem Language Result Execution time Memory
320647 2020-11-09T11:47:08 Z kshitij_sodani Discharging (NOI20_discharging) C++14
100 / 100
 916 ms 301260 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 and la==-1){
			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 74 ms 117860 KB Output is correct
2 Correct 73 ms 117732 KB Output is correct
3 Correct 74 ms 117732 KB Output is correct
4 Correct 74 ms 117860 KB Output is correct
5 Correct 77 ms 117732 KB Output is correct
6 Correct 74 ms 117732 KB Output is correct
7 Correct 75 ms 117732 KB Output is correct
8 Correct 74 ms 117732 KB Output is correct
9 Correct 74 ms 117732 KB Output is correct
10 Correct 74 ms 117732 KB Output is correct
11 Correct 74 ms 117864 KB Output is correct
12 Correct 74 ms 117732 KB Output is correct
13 Correct 81 ms 117880 KB Output is correct
14 Correct 74 ms 117732 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 75 ms 117988 KB Output is correct
3 Correct 76 ms 117984 KB Output is correct
4 Correct 74 ms 117988 KB Output is correct
5 Correct 75 ms 117988 KB Output is correct
6 Correct 75 ms 117988 KB Output is correct
7 Correct 75 ms 118116 KB Output is correct
8 Correct 75 ms 117988 KB Output is correct
9 Correct 74 ms 117988 KB Output is correct
10 Correct 74 ms 117988 KB Output is correct
11 Correct 76 ms 117988 KB Output is correct
12 Correct 77 ms 117992 KB Output is correct
13 Correct 75 ms 117988 KB Output is correct
14 Correct 76 ms 117988 KB Output is correct
15 Correct 76 ms 117988 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 77 ms 118116 KB Output is correct
2 Correct 75 ms 117988 KB Output is correct
3 Correct 76 ms 117984 KB Output is correct
4 Correct 74 ms 117988 KB Output is correct
5 Correct 75 ms 117988 KB Output is correct
6 Correct 75 ms 117988 KB Output is correct
7 Correct 75 ms 118116 KB Output is correct
8 Correct 75 ms 117988 KB Output is correct
9 Correct 74 ms 117988 KB Output is correct
10 Correct 74 ms 117988 KB Output is correct
11 Correct 76 ms 117988 KB Output is correct
12 Correct 77 ms 117992 KB Output is correct
13 Correct 75 ms 117988 KB Output is correct
14 Correct 76 ms 117988 KB Output is correct
15 Correct 76 ms 117988 KB Output is correct
16 Correct 901 ms 285648 KB Output is correct
17 Correct 903 ms 270684 KB Output is correct
18 Correct 895 ms 301260 KB Output is correct
19 Correct 903 ms 266596 KB Output is correct
20 Correct 897 ms 273128 KB Output is correct
21 Correct 894 ms 271324 KB Output is correct
22 Correct 908 ms 276076 KB Output is correct
23 Correct 904 ms 262492 KB Output is correct
24 Correct 905 ms 272804 KB Output is correct
25 Correct 910 ms 261596 KB Output is correct
26 Correct 913 ms 261080 KB Output is correct
27 Correct 901 ms 278056 KB Output is correct
28 Correct 907 ms 269784 KB Output is correct
29 Correct 903 ms 262368 KB Output is correct
30 Correct 916 ms 262472 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 341 ms 200504 KB Output is correct
2 Correct 334 ms 200520 KB Output is correct
3 Correct 340 ms 200396 KB Output is correct
4 Correct 335 ms 200384 KB Output is correct
5 Correct 338 ms 200388 KB Output is correct
6 Correct 337 ms 200392 KB Output is correct
7 Correct 338 ms 200260 KB Output is correct
8 Correct 334 ms 200472 KB Output is correct
9 Correct 336 ms 200512 KB Output is correct
10 Correct 335 ms 200512 KB Output is correct

Subtask #5
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 74 ms 117860 KB Output is correct
2 Correct 73 ms 117732 KB Output is correct
3 Correct 74 ms 117732 KB Output is correct
4 Correct 74 ms 117860 KB Output is correct
5 Correct 77 ms 117732 KB Output is correct
6 Correct 74 ms 117732 KB Output is correct
7 Correct 75 ms 117732 KB Output is correct
8 Correct 74 ms 117732 KB Output is correct
9 Correct 74 ms 117732 KB Output is correct
10 Correct 74 ms 117732 KB Output is correct
11 Correct 74 ms 117864 KB Output is correct
12 Correct 74 ms 117732 KB Output is correct
13 Correct 81 ms 117880 KB Output is correct
14 Correct 74 ms 117732 KB Output is correct
15 Correct 77 ms 118116 KB Output is correct
16 Correct 75 ms 117988 KB Output is correct
17 Correct 76 ms 117984 KB Output is correct
18 Correct 74 ms 117988 KB Output is correct
19 Correct 75 ms 117988 KB Output is correct
20 Correct 75 ms 117988 KB Output is correct
21 Correct 75 ms 118116 KB Output is correct
22 Correct 75 ms 117988 KB Output is correct
23 Correct 74 ms 117988 KB Output is correct
24 Correct 74 ms 117988 KB Output is correct
25 Correct 76 ms 117988 KB Output is correct
26 Correct 77 ms 117992 KB Output is correct
27 Correct 75 ms 117988 KB Output is correct
28 Correct 76 ms 117988 KB Output is correct
29 Correct 76 ms 117988 KB Output is correct
30 Correct 73 ms 117988 KB Output is correct
31 Correct 75 ms 117992 KB Output is correct
32 Correct 76 ms 117988 KB Output is correct
33 Correct 75 ms 117988 KB Output is correct
34 Correct 74 ms 117992 KB Output is correct
35 Correct 75 ms 117988 KB Output is correct
36 Correct 75 ms 117860 KB Output is correct
37 Correct 74 ms 117860 KB Output is correct
38 Correct 77 ms 117988 KB Output is correct
39 Correct 74 ms 117988 KB Output is correct
40 Correct 74 ms 117988 KB Output is correct
41 Correct 76 ms 117988 KB Output is correct
42 Correct 74 ms 117988 KB Output is correct
43 Correct 74 ms 117988 KB Output is correct
44 Correct 74 ms 117992 KB Output is correct
45 Correct 74 ms 117988 KB Output is correct
46 Correct 88 ms 117988 KB Output is correct
47 Correct 79 ms 117988 KB Output is correct
48 Correct 74 ms 117988 KB Output is correct
49 Correct 74 ms 117988 KB Output is correct
50 Correct 75 ms 117868 KB Output is correct

Subtask #6
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 74 ms 117860 KB Output is correct
2 Correct 73 ms 117732 KB Output is correct
3 Correct 74 ms 117732 KB Output is correct
4 Correct 74 ms 117860 KB Output is correct
5 Correct 77 ms 117732 KB Output is correct
6 Correct 74 ms 117732 KB Output is correct
7 Correct 75 ms 117732 KB Output is correct
8 Correct 74 ms 117732 KB Output is correct
9 Correct 74 ms 117732 KB Output is correct
10 Correct 74 ms 117732 KB Output is correct
11 Correct 74 ms 117864 KB Output is correct
12 Correct 74 ms 117732 KB Output is correct
13 Correct 81 ms 117880 KB Output is correct
14 Correct 74 ms 117732 KB Output is correct
15 Correct 77 ms 118116 KB Output is correct
16 Correct 75 ms 117988 KB Output is correct
17 Correct 76 ms 117984 KB Output is correct
18 Correct 74 ms 117988 KB Output is correct
19 Correct 75 ms 117988 KB Output is correct
20 Correct 75 ms 117988 KB Output is correct
21 Correct 75 ms 118116 KB Output is correct
22 Correct 75 ms 117988 KB Output is correct
23 Correct 74 ms 117988 KB Output is correct
24 Correct 74 ms 117988 KB Output is correct
25 Correct 76 ms 117988 KB Output is correct
26 Correct 77 ms 117992 KB Output is correct
27 Correct 75 ms 117988 KB Output is correct
28 Correct 76 ms 117988 KB Output is correct
29 Correct 76 ms 117988 KB Output is correct
30 Correct 901 ms 285648 KB Output is correct
31 Correct 903 ms 270684 KB Output is correct
32 Correct 895 ms 301260 KB Output is correct
33 Correct 903 ms 266596 KB Output is correct
34 Correct 897 ms 273128 KB Output is correct
35 Correct 894 ms 271324 KB Output is correct
36 Correct 908 ms 276076 KB Output is correct
37 Correct 904 ms 262492 KB Output is correct
38 Correct 905 ms 272804 KB Output is correct
39 Correct 910 ms 261596 KB Output is correct
40 Correct 913 ms 261080 KB Output is correct
41 Correct 901 ms 278056 KB Output is correct
42 Correct 907 ms 269784 KB Output is correct
43 Correct 903 ms 262368 KB Output is correct
44 Correct 916 ms 262472 KB Output is correct
45 Correct 341 ms 200504 KB Output is correct
46 Correct 334 ms 200520 KB Output is correct
47 Correct 340 ms 200396 KB Output is correct
48 Correct 335 ms 200384 KB Output is correct
49 Correct 338 ms 200388 KB Output is correct
50 Correct 337 ms 200392 KB Output is correct
51 Correct 338 ms 200260 KB Output is correct
52 Correct 334 ms 200472 KB Output is correct
53 Correct 336 ms 200512 KB Output is correct
54 Correct 335 ms 200512 KB Output is correct
55 Correct 73 ms 117988 KB Output is correct
56 Correct 75 ms 117992 KB Output is correct
57 Correct 76 ms 117988 KB Output is correct
58 Correct 75 ms 117988 KB Output is correct
59 Correct 74 ms 117992 KB Output is correct
60 Correct 75 ms 117988 KB Output is correct
61 Correct 75 ms 117860 KB Output is correct
62 Correct 74 ms 117860 KB Output is correct
63 Correct 77 ms 117988 KB Output is correct
64 Correct 74 ms 117988 KB Output is correct
65 Correct 74 ms 117988 KB Output is correct
66 Correct 76 ms 117988 KB Output is correct
67 Correct 74 ms 117988 KB Output is correct
68 Correct 74 ms 117988 KB Output is correct
69 Correct 74 ms 117992 KB Output is correct
70 Correct 74 ms 117988 KB Output is correct
71 Correct 88 ms 117988 KB Output is correct
72 Correct 79 ms 117988 KB Output is correct
73 Correct 74 ms 117988 KB Output is correct
74 Correct 74 ms 117988 KB Output is correct
75 Correct 75 ms 117868 KB Output is correct
76 Correct 416 ms 224160 KB Output is correct
77 Correct 425 ms 232072 KB Output is correct
78 Correct 429 ms 230176 KB Output is correct
79 Correct 451 ms 241752 KB Output is correct
80 Correct 420 ms 224856 KB Output is correct
81 Correct 448 ms 239596 KB Output is correct
82 Correct 461 ms 240112 KB Output is correct
83 Correct 405 ms 221284 KB Output is correct
84 Correct 446 ms 235580 KB Output is correct
85 Correct 430 ms 231420 KB Output is correct
86 Correct 463 ms 247412 KB Output is correct
87 Correct 446 ms 244956 KB Output is correct
88 Correct 423 ms 228988 KB Output is correct
89 Correct 450 ms 237264 KB Output is correct
90 Correct 434 ms 238176 KB Output is correct
91 Correct 461 ms 244552 KB Output is correct
92 Correct 901 ms 256476 KB Output is correct
93 Correct 898 ms 267500 KB Output is correct
94 Correct 464 ms 248916 KB Output is correct
95 Correct 461 ms 232668 KB Output is correct
96 Correct 451 ms 244856 KB Output is correct
97 Correct 433 ms 233036 KB Output is correct
98 Correct 422 ms 225384 KB Output is correct
99 Correct 426 ms 237412 KB Output is correct
100 Correct 418 ms 229316 KB Output is correct