Submission #298680

# Submission time Handle Problem Language Result Execution time Memory
298680 2020-09-13T19:15:52 Z errorgorn Split the sequence (APIO14_sequence) C++14
100 / 100
997 ms 82656 KB
//雪花飄飄北風嘯嘯
//天地一片蒼茫

#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/rope>
using namespace std;
using namespace __gnu_pbds;
using namespace __gnu_cxx;
#define ll long long
#define ii pair<ll,ll>
#define iii pair<ii,ll>
#define fi first
#define se second
#define endl '\n'
#define debug(x) cout << #x << " is " << x << endl

#define rep(x,start,end) for(auto x=(start)-((start)>(end));x!=(end)-((start)>(end));((start)<(end)?x++:x--))
#define all(x) (x).begin(),(x).end()
#define sz(x) (int)(x).size()

#define indexed_set tree<ll,null_type,less<ll>,rb_tree_tag,tree_order_statistics_node_update>
//change less to less_equal for non distinct pbds, but erase will bug

mt19937 rng(chrono::system_clock::now().time_since_epoch().count());

struct line{
	ll m,c;
	int idx;
	
	ii get(ll x){
		return ii(m*x+c,idx);
	}
};

struct HULL{
	deque<line> dq;
	
	void reset(){
		dq={line({0,(ll)-1e18,-1})};
	}
	
	double POI(line i,line j){
		return (double)(i.c-j.c)/(j.m-i.m);
	}
	
	void add(line i){
		if (dq.back().m==i.m){
			if (dq.back().c<i.c) dq.pop_back();
			else return;
		}
		while (sz(dq)>=2 && POI(dq[sz(dq)-2],dq.back())>POI(dq.back(),i)) dq.pop_back();
		dq.push_back(i);
	}
	
	ii query(ll x){
		while (sz(dq)>=2 && POI(dq[0],dq[1])<x) dq.pop_front();
		return dq.front().get(x);
	}
} hull;

int n,k;
ll arr[100005];
ll memo[2][100005];
int p[205][100005];

int main(){
	ios::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	cin.exceptions(ios::badbit | ios::failbit);
	
	cin>>n>>k;
	rep(x,1,n+1) cin>>arr[x],arr[x]+=arr[x-1];
	
	int a=0,b=1;
	rep(x,1,n+1) memo[a][x]=arr[x]*(arr[n]-arr[x]);
	
	k++;
	rep(y,2,k+1){
		hull.reset();
		rep(x,1,n+1){
			auto temp=hull.query(arr[x]-arr[n]);
			temp.fi+=arr[x]*(arr[n]-arr[x]);
			tie(memo[b][x],p[y][x])=temp;
			
			hull.add(line({arr[x],memo[a][x],x}));
		}
		swap(a,b);
	}
	
	cout<<memo[a][n]<<endl;
	int px=n;
	rep(x,k+1,2){
		cout<<p[x][px]<<" ";
		px=p[x][px];
	}
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 384 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 384 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 384 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 384 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 384 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 384 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 384 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 384 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 384 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 384 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 384 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 384 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 512 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 384 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 384 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 0 ms 384 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 416 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 640 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 384 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 384 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 ms 384 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 512 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 384 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 384 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 384 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 512 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 2 ms 1408 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 384 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 2 ms 1152 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 2 ms 1408 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 3 ms 1408 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 640 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 640 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 640 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 384 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 10 ms 2176 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 384 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 10 ms 2176 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 8 ms 1920 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 11 ms 2176 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 9 ms 2176 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 768 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 4 ms 1152 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 3 ms 768 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 2 ms 896 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 95 ms 9464 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 3 ms 896 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 66 ms 6012 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 65 ms 6776 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 86 ms 7288 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 63 ms 6008 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 71 ms 6780 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 90 ms 8568 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 22 ms 4968 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 22 ms 5180 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 908 ms 82656 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 26 ms 5368 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 997 ms 82176 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 665 ms 58792 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 839 ms 62960 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 635 ms 51960 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 651 ms 59016 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 835 ms 74704 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845