Submission #46008

# Submission time Handle Problem Language Result Execution time Memory
46008 2018-04-17T00:14:54 Z sorry_Benq Split the sequence (APIO14_sequence) C++17
100 / 100
1417 ms 81832 KB
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
 
#define FOR(i, a, b) for (int i=a; i<(b); i++)
#define F0R(i, a) for (int i=0; i<(a); i++)
#define FORd(i,a,b) for (int i = (b)-1; i >= a; i--)
#define F0Rd(i,a) for (int i = (a)-1; i >= 0; i--)
 
ll S[100005];
ll DP1[100005];
ll DP2[100005];
int BES[205][100005];
const ll INF = 1e18;
 
void fill(int lev, int l, int r, int optl, int optr) {
    if (l > r) return;
    optr = min(optr,r);
    int m = (l+r)/2;
    
    DP2[m] = 1e18;
    int bes = -1;
    FOR(i,optl,min(optr+1,m)) {
		ll tmp = (S[m] - S[i])*(S[m] - S[i])+DP1[i];
        if ((S[m] - S[i])*(S[m] - S[i])+DP1[i] <= DP2[m]) {
            DP2[m] = (S[m] - S[i])*(S[m] - S[i])+DP1[i];
            bes = i;
        }
    }
    BES[lev][m] = bes;
    fill(lev, l,m-1,optl,bes);
    fill(lev, m+1,r,bes,optr);
}
 
int main(){
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	S[0] = 0;
	int N, K; cin >> N >> K;
	for (int i = 1; i <= N; i++){
		ll x; cin >> x;
		S[i] = S[i - 1] + x;
	}
	for (int i = 1; i <= N; i++){
		DP2[i] = S[i]*S[i];
	}
	for (int j = 2; j <= K + 1; j++){
		for (int i = 1; i <= N; i++){
			DP1[i] = DP2[i];
		}
		fill(j, 1, N, 1, N);
	}
	int curpos = N;
	vector<int> idx; 
	for (int j = K + 1; j >= 2; j--){
		idx.push_back(BES[j][curpos]);
		curpos = BES[j][curpos];
	}
	reverse(idx.begin(), idx.end());
	cout << (S[N] * S[N] - DP2[N])/2 << endl;
	for (int j: idx){
		cout << j << ' ';
	}
	cout << endl;
}

Compilation message

sequence.cpp: In function 'void fill(int, int, int, int, int)':
sequence.cpp:24:6: warning: unused variable 'tmp' [-Wunused-variable]
   ll tmp = (S[m] - S[i])*(S[m] - S[i])+DP1[i];
      ^~~
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB contestant found the optimal answer: 108 == 108
2 Correct 2 ms 376 KB contestant found the optimal answer: 999 == 999
3 Correct 2 ms 436 KB contestant found the optimal answer: 0 == 0
4 Correct 2 ms 448 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 2 ms 508 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 2 ms 524 KB contestant found the optimal answer: 1 == 1
7 Correct 2 ms 612 KB contestant found the optimal answer: 1 == 1
8 Correct 2 ms 660 KB contestant found the optimal answer: 1 == 1
9 Correct 2 ms 660 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 2 ms 660 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 2 ms 660 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 2 ms 660 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 2 ms 660 KB contestant found the optimal answer: 140072 == 140072
14 Correct 2 ms 660 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 2 ms 660 KB contestant found the optimal answer: 805 == 805
16 Correct 2 ms 660 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 2 ms 660 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 2 ms 660 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 2 ms 660 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 2 ms 772 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 2 ms 772 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 2 ms 772 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 2 ms 772 KB contestant found the optimal answer: 933702 == 933702
7 Correct 2 ms 772 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 2 ms 772 KB contestant found the optimal answer: 687136 == 687136
9 Correct 2 ms 772 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 2 ms 772 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 2 ms 772 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 2 ms 772 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 3 ms 1660 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 2 ms 1660 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 3 ms 1660 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 3 ms 1660 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 3 ms 1660 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 2 ms 1660 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 2 ms 1660 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 2 ms 1660 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 2 ms 1660 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 2 ms 1660 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 10 ms 2300 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 2 ms 2300 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 9 ms 2476 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 8 ms 2476 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 10 ms 2476 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 8 ms 2476 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 2476 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 5 ms 2476 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 4 ms 2476 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 3 ms 2476 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 67 ms 9596 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 4 ms 9596 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 58 ms 9596 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 57 ms 9596 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 71 ms 9596 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 49 ms 9596 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 59 ms 9596 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 68 ms 9596 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 24 ms 9596 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 24 ms 9596 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 804 ms 81388 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 32 ms 81388 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1417 ms 81832 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 687 ms 81832 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 882 ms 81832 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 592 ms 81832 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 568 ms 81832 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 724 ms 81832 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845