Submission #570614

# Submission time Handle Problem Language Result Execution time Memory
570614 2022-05-30T18:04:18 Z beaconmc Split the sequence (APIO14_sequence) C++14
100 / 100
649 ms 83152 KB
#include <bits/stdc++.h>
#pragma GCC optimize("O3")
typedef long long ll;
#define FOR(i,x,y) for(ll i=x; i<y; i++)
#define FORNEG(i,x,y) for(ll i=x; i>y; i--)
#define double long double


using namespace std;

ll dp[100002][2];
int ans[100002][202];
ll suff[100002];



double slope(ll a, ll b){
	if (suff[b] == suff[a]){
		if ((double)dp[a][0] - (double)dp[b][0] <= 0) return 1000000000000;
	}
	return ((double)dp[a][0] - (double)dp[b][0]) / ((double)suff[b] - (double)suff[a]);
}

bool case1(ll a, ll b, ll i){
	return (dp[a][0] - dp[b][0]) <= (suff[b] - suff[a])*suff[i];
}


bool case2(ll a, ll b, ll i){
	return (dp[a][0] - dp[b][0]) * (suff[i] - suff[b]) <= (dp[b][0] - dp[i][0]) * (suff[b] - suff[a]);
}



int main(){

	ll n,k;
	cin >> n >> k;

	

	vector<ll> nums(n);
	FOR(i,0,n) cin >> nums[i];

	suff[n] = 0;
	suff[n-1] = nums[n-1];
	FORNEG(i,n-2,-1){
		suff[i] = suff[i+1] + nums[i];
	}



	FOR(i,0,n+1){
		dp[i][0] = 0;
	}

	
	
	FOR(j,1,k+2){

		deque<ll> q;
		q.push_back(0);

		FOR(i,1,n+1){

			//cout << q[0] << " " << q[1] << " " << slope(q[0], q[1], j) << " " << suff[i] << endl;

			while (q.size() >= 2 && case1(q[0], q[1], i)){
				q.pop_front();
			}



			ll tmp = q.front();
			dp[i][1] = dp[tmp][0] + (suff[tmp]-suff[i])*suff[i];
			ans[i][j] = tmp;

			//cout << tmp << " " << maxpos << endl;
			//cout << endl;


			while (q.size() >=2 && case2(q[q.size()-2], q[q.size()-1], i)){
				q.pop_back();
			}

			q.push_back(i);
		}

		FOR(i,1,n+1){
			dp[i][0] = dp[i][1];
		}


	}



	cout << dp[n][1] << "\n";


	// FOR(i,0,n+1){
	// 	FOR(j,0,k+2){
	// 		cout << dp[i][j] << " ";
	// 	}
	// 	cout << endl;
	// }

	ll sus = n;
	vector<ll> sussy;


	FOR(i,0,k){
		sus = ans[sus][k-i+1];
		cout << sus << " ";
	}




}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 340 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 212 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 304 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 212 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 212 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 308 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 304 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 212 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 344 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 212 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 308 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 212 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 308 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 212 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 212 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 340 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 340 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 340 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 340 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 340 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 340 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 316 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 340 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 340 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 340 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 432 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 436 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 1 ms 468 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 468 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 1 ms 436 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 1 ms 468 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 1 ms 468 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 436 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 432 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 436 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 2 ms 1108 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 1108 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 5 ms 1108 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 1076 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 5 ms 1108 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 6 ms 1148 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 6 ms 1160 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 4 ms 1108 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 2 ms 1108 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 3 ms 1108 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 6 ms 8532 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 6 ms 8532 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 43 ms 8532 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 7 ms 8556 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 41 ms 8532 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 46 ms 8568 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 49 ms 8532 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 30 ms 8620 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 38 ms 8588 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 45 ms 8508 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 55 ms 82944 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 60 ms 83024 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 536 ms 83140 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 65 ms 83148 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 649 ms 82992 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 472 ms 83036 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 488 ms 83148 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 383 ms 83104 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 391 ms 83084 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 483 ms 83152 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845