Submission #135202

# Submission time Handle Problem Language Result Execution time Memory
135202 2019-07-23T19:46:28 Z pedro_sponchiado Split the sequence (APIO14_sequence) C++17
50 / 100
2000 ms 25372 KB
#include<bits/stdc++.h>
using namespace std;
const long long int INF=112345678912345678;
const int maxn=10010;
const int maxk=210;
int n, d;
int a[maxn];

long long int parc[maxn], parc_2[maxn];
long long int s_2[maxn];
long long int S_2(int i, int j){ 
	return s_2[j]-s_2[i-1]-parc[i-1]*(parc[j]-parc[i-1]);	
}
	
long long int dp[maxn][maxk];
int opt[maxn][maxk];


int main(){
	scanf("%d %d", &n, &d);
	for(int i=1; i<=n; i++){
		scanf("%d", &a[i]);
		parc[i]=parc[i-1]+a[i];
		parc_2[i]=parc_2[i-1]+a[i]*a[i];
		s_2[i]=(parc[i]*parc[i]-parc_2[i])/2;
	}
	
	for(int i=1; i<=n; i++) dp[i][0]=s_2[i];
	
	for(int k=1; k<=d; k++){
		for(int i=1; i<=n; i++){
			dp[i][k]=INF;
			if(k>=i)continue;
			
			for(int l=1; l<i; l++){
				if(dp[i][k]>dp[l][k-1]+S_2(l+1, i)){
					dp[i][k]=dp[l][k-1]+S_2(l+1, i);
					opt[i][k]=l;
				}
			}
			
		//	printf("dp[%d][%d]=%lld\n", i, k, dp[i][k]);
		}	 
	}
	
	printf("%lld\n", s_2[n]-dp[n][d]); 
	
	int at=n;
	vector<int> aux;
	for(int i=d; i>=1; i--){
		aux.push_back(opt[at][i]);
		at=opt[at][i];	
	}
	for(int i=d-1; i>=0; i--) printf("%d ", aux[i]);
	
	return 0;	
}

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:20:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d %d", &n, &d);
  ~~~~~^~~~~~~~~~~~~~~~~
sequence.cpp:22:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%d", &a[i]);
   ~~~~~^~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 2 ms 380 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 376 KB contestant found the optimal answer: 0 == 0
4 Correct 2 ms 376 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 2 ms 376 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 2 ms 376 KB contestant found the optimal answer: 1 == 1
7 Correct 2 ms 376 KB contestant found the optimal answer: 1 == 1
8 Correct 2 ms 376 KB contestant found the optimal answer: 1 == 1
9 Correct 2 ms 376 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 2 ms 376 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 2 ms 376 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 2 ms 376 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 2 ms 380 KB contestant found the optimal answer: 140072 == 140072
14 Correct 2 ms 376 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 2 ms 376 KB contestant found the optimal answer: 805 == 805
16 Correct 2 ms 376 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 2 ms 380 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 2 ms 504 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 2 ms 504 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 2 ms 504 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 2 ms 504 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 2 ms 504 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 2 ms 504 KB contestant found the optimal answer: 933702 == 933702
7 Correct 2 ms 504 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 2 ms 504 KB contestant found the optimal answer: 687136 == 687136
9 Correct 2 ms 504 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 2 ms 504 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 2 ms 888 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 3 ms 888 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 8 ms 888 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 2 ms 888 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 8 ms 888 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 8 ms 888 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 8 ms 888 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 4 ms 888 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 4 ms 888 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 5 ms 888 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 7 ms 2808 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 7 ms 2912 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 211 ms 2908 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 7 ms 2808 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 309 ms 2808 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 277 ms 2808 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 209 ms 2940 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 208 ms 3012 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 54 ms 2812 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 114 ms 2936 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 856 ms 25352 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 764 ms 25336 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Execution timed out 2061 ms 25372 KB Time limit exceeded
4 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 3 ms 632 KB declared answer doesn't correspond to the split scheme: declared = 96, real = 2757000
2 Halted 0 ms 0 KB -